TSTP Solution File: CSR029+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : CSR029+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n015.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 00:01:50 EDT 2022
% Result : Theorem 30.02s 30.21s
% Output : Proof 30.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR029+2 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 11 09:55:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 30.02/30.21 (* PROOF-FOUND *)
% 30.02/30.21 % SZS status Theorem
% 30.02/30.21 (* BEGIN-PROOF *)
% 30.02/30.21 % SZS output start Proof
% 30.02/30.21 Theorem query79 : ((mtvisible (c_tptpgeo_member3_mt))->((inregion (c_geolocation_x14_y39) (c_georegion_l3_x4_y13))/\(geolevel_3 (c_georegion_l3_x4_y13)))).
% 30.02/30.21 Proof.
% 30.02/30.21 apply NNPP. intro zenon_G.
% 30.02/30.21 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_H450 | zenon_intro zenon_H451 ].
% 30.02/30.21 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_H452 | zenon_intro zenon_H453 ].
% 30.02/30.21 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H455. zenon_intro zenon_H454.
% 30.02/30.21 apply (zenon_notand_s _ _ zenon_H454); [ zenon_intro zenon_H457 | zenon_intro zenon_H456 ].
% 30.02/30.21 apply (zenon_imply_s _ _ ax1_282); [ zenon_intro zenon_H459 | zenon_intro zenon_H458 ].
% 30.02/30.21 exact (zenon_H459 zenon_H455).
% 30.02/30.21 apply (zenon_imply_s _ _ ax1_337); [ zenon_intro zenon_H459 | zenon_intro zenon_H45a ].
% 30.02/30.21 exact (zenon_H459 zenon_H455).
% 30.02/30.21 elim (classic (inregion (c_georegion_l4_x14_y39) (c_georegion_l3_x4_y13))); [ zenon_intro zenon_H45b | zenon_intro zenon_H45c ].
% 30.02/30.21 generalize (zenon_H450 (c_geolocation_x14_y39)). zenon_intro zenon_H45d.
% 30.02/30.21 generalize (zenon_H45d (c_georegion_l4_x14_y39)). zenon_intro zenon_H45e.
% 30.02/30.21 generalize (zenon_H45e (c_georegion_l3_x4_y13)). zenon_intro zenon_H45f.
% 30.02/30.21 apply (zenon_imply_s _ _ zenon_H45f); [ zenon_intro zenon_H461 | zenon_intro zenon_H460 ].
% 30.02/30.21 exact (zenon_H461 zenon_H458).
% 30.02/30.21 apply (zenon_imply_s _ _ zenon_H460); [ zenon_intro zenon_H45c | zenon_intro zenon_H462 ].
% 30.02/30.21 exact (zenon_H45c zenon_H45b).
% 30.02/30.21 exact (zenon_H457 zenon_H462).
% 30.02/30.21 generalize (ax1_128 (c_georegion_l3_x4_y13)). zenon_intro zenon_H463.
% 30.02/30.21 generalize (zenon_H463 (c_georegion_l4_x14_y39)). zenon_intro zenon_H464.
% 30.02/30.21 apply (zenon_imply_s _ _ zenon_H464); [ zenon_intro zenon_H465 | zenon_intro zenon_H45b ].
% 30.02/30.21 exact (zenon_H465 zenon_H45a).
% 30.02/30.21 exact (zenon_H45c zenon_H45b).
% 30.02/30.21 apply (zenon_imply_s _ _ ax1_121); [ zenon_intro zenon_H467 | zenon_intro zenon_H466 ].
% 30.02/30.21 generalize (ax1_1123 (c_tptpgeo_member3_mt)). zenon_intro zenon_H468.
% 30.02/30.21 generalize (zenon_H468 (c_worldgeographymt)). zenon_intro zenon_H469.
% 30.02/30.21 apply (zenon_imply_s _ _ zenon_H469); [ zenon_intro zenon_H46b | zenon_intro zenon_H46a ].
% 30.02/30.21 apply (zenon_notand_s _ _ zenon_H46b); [ zenon_intro zenon_H459 | zenon_intro zenon_H46c ].
% 30.02/30.21 exact (zenon_H459 zenon_H455).
% 30.02/30.21 elim (classic ((~((c_tptpgeo_member3_mt) = (c_tptpgeo_spindleheadmt)))/\(~(genlmt (c_tptpgeo_member3_mt) (c_tptpgeo_spindleheadmt))))); [ zenon_intro zenon_H46d | zenon_intro zenon_H46e ].
% 30.02/30.21 apply (zenon_and_s _ _ zenon_H46d). zenon_intro zenon_H470. zenon_intro zenon_H46f.
% 30.02/30.21 exact (zenon_H46f ax1_212).
% 30.02/30.21 cut ((genlmt (c_tptpgeo_spindleheadmt) (c_worldgeographymt)) = (genlmt (c_tptpgeo_member3_mt) (c_worldgeographymt))).
% 30.02/30.21 intro zenon_D_pnotp.
% 30.02/30.21 apply zenon_H46c.
% 30.02/30.21 rewrite <- zenon_D_pnotp.
% 30.02/30.21 exact ax1_326.
% 30.02/30.21 cut (((c_worldgeographymt) = (c_worldgeographymt))); [idtac | apply NNPP; zenon_intro zenon_H471].
% 30.02/30.21 cut (((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member3_mt))); [idtac | apply NNPP; zenon_intro zenon_H472].
% 30.02/30.21 congruence.
% 30.02/30.21 apply (zenon_notand_s _ _ zenon_H46e); [ zenon_intro zenon_H474 | zenon_intro zenon_H473 ].
% 30.02/30.21 apply zenon_H474. zenon_intro zenon_H475.
% 30.02/30.21 elim (classic ((c_tptpgeo_member3_mt) = (c_tptpgeo_member3_mt))); [ zenon_intro zenon_H476 | zenon_intro zenon_H477 ].
% 30.02/30.21 cut (((c_tptpgeo_member3_mt) = (c_tptpgeo_member3_mt)) = ((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member3_mt))).
% 30.02/30.21 intro zenon_D_pnotp.
% 30.02/30.21 apply zenon_H472.
% 30.02/30.21 rewrite <- zenon_D_pnotp.
% 30.02/30.21 exact zenon_H476.
% 30.02/30.21 cut (((c_tptpgeo_member3_mt) = (c_tptpgeo_member3_mt))); [idtac | apply NNPP; zenon_intro zenon_H477].
% 30.02/30.21 cut (((c_tptpgeo_member3_mt) = (c_tptpgeo_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H470].
% 30.02/30.21 congruence.
% 30.02/30.21 exact (zenon_H470 zenon_H475).
% 30.02/30.21 apply zenon_H477. apply refl_equal.
% 30.02/30.21 apply zenon_H477. apply refl_equal.
% 30.02/30.21 apply zenon_H473. zenon_intro ax1_212.
% 30.02/30.21 generalize (zenon_H452 (c_tptpgeo_member3_mt)). zenon_intro zenon_H478.
% 30.02/30.21 generalize (zenon_H478 (c_tptpgeo_spindleheadmt)). zenon_intro zenon_H479.
% 30.02/30.21 generalize (zenon_H479 (c_worldgeographymt)). zenon_intro zenon_H47a.
% 30.02/30.24 apply (zenon_imply_s _ _ zenon_H47a); [ zenon_intro zenon_H46f | zenon_intro zenon_H47b ].
% 30.02/30.24 exact (zenon_H46f ax1_212).
% 30.02/30.24 apply (zenon_imply_s _ _ zenon_H47b); [ zenon_intro zenon_H47d | zenon_intro zenon_H47c ].
% 30.02/30.24 exact (zenon_H47d ax1_326).
% 30.02/30.24 exact (zenon_H46c zenon_H47c).
% 30.02/30.24 apply zenon_H471. apply refl_equal.
% 30.02/30.24 exact (zenon_H467 zenon_H46a).
% 30.02/30.24 exact (zenon_H456 zenon_H466).
% 30.02/30.24 apply zenon_H453. zenon_intro zenon_Tx_bsg. apply NNPP. zenon_intro zenon_H47f.
% 30.02/30.24 apply zenon_H47f. zenon_intro zenon_Ty_bsi. apply NNPP. zenon_intro zenon_H481.
% 30.02/30.24 apply zenon_H481. zenon_intro zenon_Tz_bsk. apply NNPP. zenon_intro zenon_H483.
% 30.02/30.24 apply (zenon_notimply_s _ _ zenon_H483). zenon_intro zenon_H485. zenon_intro zenon_H484.
% 30.02/30.24 apply (zenon_notimply_s _ _ zenon_H484). zenon_intro zenon_H487. zenon_intro zenon_H486.
% 30.02/30.24 generalize (ax1_1128 zenon_Tx_bsg). zenon_intro zenon_H488.
% 30.02/30.24 generalize (zenon_H488 zenon_Ty_bsi). zenon_intro zenon_H489.
% 30.02/30.24 generalize (zenon_H489 zenon_Tz_bsk). zenon_intro zenon_H48a.
% 30.02/30.24 apply (zenon_imply_s _ _ zenon_H48a); [ zenon_intro zenon_H48c | zenon_intro zenon_H48b ].
% 30.02/30.24 apply (zenon_notand_s _ _ zenon_H48c); [ zenon_intro zenon_H48e | zenon_intro zenon_H48d ].
% 30.02/30.24 exact (zenon_H48e zenon_H485).
% 30.02/30.24 exact (zenon_H48d zenon_H487).
% 30.02/30.24 exact (zenon_H486 zenon_H48b).
% 30.02/30.24 apply zenon_H451. zenon_intro zenon_Tx_bsx. apply NNPP. zenon_intro zenon_H490.
% 30.02/30.24 apply zenon_H490. zenon_intro zenon_Ty_bsz. apply NNPP. zenon_intro zenon_H492.
% 30.02/30.24 apply zenon_H492. zenon_intro zenon_Tz_btb. apply NNPP. zenon_intro zenon_H494.
% 30.02/30.24 apply (zenon_notimply_s _ _ zenon_H494). zenon_intro zenon_H496. zenon_intro zenon_H495.
% 30.02/30.24 apply (zenon_notimply_s _ _ zenon_H495). zenon_intro zenon_H498. zenon_intro zenon_H497.
% 30.02/30.24 generalize (ax1_933 zenon_Tx_bsx). zenon_intro zenon_H499.
% 30.02/30.24 generalize (zenon_H499 zenon_Ty_bsz). zenon_intro zenon_H49a.
% 30.02/30.24 generalize (zenon_H49a zenon_Tz_btb). zenon_intro zenon_H49b.
% 30.02/30.24 apply (zenon_imply_s _ _ zenon_H49b); [ zenon_intro zenon_H49d | zenon_intro zenon_H49c ].
% 30.02/30.24 apply (zenon_notand_s _ _ zenon_H49d); [ zenon_intro zenon_H49f | zenon_intro zenon_H49e ].
% 30.02/30.24 exact (zenon_H49f zenon_H496).
% 30.02/30.24 exact (zenon_H49e zenon_H498).
% 30.02/30.24 exact (zenon_H497 zenon_H49c).
% 30.02/30.24 Qed.
% 30.02/30.24 % SZS output end Proof
% 30.02/30.24 (* END-PROOF *)
% 30.02/30.24 nodes searched: 995568
% 30.02/30.24 max branch formulas: 501097
% 30.02/30.24 proof nodes created: 426
% 30.02/30.24 formulas created: 7304341
% 30.02/30.24
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