TSTP Solution File: CSR074+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : CSR074+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n019.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 00:02:34 EDT 2022
% Result : Theorem 18.84s 19.01s
% Output : Proof 18.84s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR074+2 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n019.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 22:37:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 18.84/19.01 (* PROOF-FOUND *)
% 18.84/19.01 % SZS status Theorem
% 18.84/19.01 (* BEGIN-PROOF *)
% 18.84/19.01 % SZS output start Proof
% 18.84/19.01 Theorem query124 : ((mtvisible (c_tptpgeo_member7_mt))->((inregion (c_geolocation_x53_y74) (c_georegion_l3_x17_y24))/\(geolevel_3 (c_georegion_l3_x17_y24)))).
% 18.84/19.01 Proof.
% 18.84/19.01 apply NNPP. intro zenon_G.
% 18.84/19.01 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 ].
% 18.84/19.01 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 ].
% 18.84/19.01 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H455. zenon_intro zenon_H454.
% 18.84/19.01 apply (zenon_notand_s _ _ zenon_H454); [ zenon_intro zenon_H457 | zenon_intro zenon_H456 ].
% 18.84/19.01 apply (zenon_imply_s _ _ ax1_82); [ zenon_intro zenon_H459 | zenon_intro zenon_H458 ].
% 18.84/19.01 exact (zenon_H459 zenon_H455).
% 18.84/19.01 apply (zenon_imply_s _ _ ax1_472); [ zenon_intro zenon_H459 | zenon_intro zenon_H45a ].
% 18.84/19.01 exact (zenon_H459 zenon_H455).
% 18.84/19.01 elim (classic (inregion (c_georegion_l4_x53_y74) (c_georegion_l3_x17_y24))); [ zenon_intro zenon_H45b | zenon_intro zenon_H45c ].
% 18.84/19.01 generalize (zenon_H450 (c_geolocation_x53_y74)). zenon_intro zenon_H45d.
% 18.84/19.01 generalize (zenon_H45d (c_georegion_l4_x53_y74)). zenon_intro zenon_H45e.
% 18.84/19.01 generalize (zenon_H45e (c_georegion_l3_x17_y24)). zenon_intro zenon_H45f.
% 18.84/19.01 apply (zenon_imply_s _ _ zenon_H45f); [ zenon_intro zenon_H461 | zenon_intro zenon_H460 ].
% 18.84/19.01 exact (zenon_H461 zenon_H458).
% 18.84/19.01 apply (zenon_imply_s _ _ zenon_H460); [ zenon_intro zenon_H45c | zenon_intro zenon_H462 ].
% 18.84/19.01 exact (zenon_H45c zenon_H45b).
% 18.84/19.01 exact (zenon_H457 zenon_H462).
% 18.84/19.01 generalize (ax1_128 (c_georegion_l3_x17_y24)). zenon_intro zenon_H463.
% 18.84/19.01 generalize (zenon_H463 (c_georegion_l4_x53_y74)). zenon_intro zenon_H464.
% 18.84/19.01 apply (zenon_imply_s _ _ zenon_H464); [ zenon_intro zenon_H465 | zenon_intro zenon_H45b ].
% 18.84/19.01 exact (zenon_H465 zenon_H45a).
% 18.84/19.01 exact (zenon_H45c zenon_H45b).
% 18.84/19.01 apply (zenon_imply_s _ _ ax1_478); [ zenon_intro zenon_H467 | zenon_intro zenon_H466 ].
% 18.84/19.01 generalize (ax1_1123 (c_tptpgeo_member7_mt)). zenon_intro zenon_H468.
% 18.84/19.01 generalize (zenon_H468 (c_worldgeographymt)). zenon_intro zenon_H469.
% 18.84/19.01 apply (zenon_imply_s _ _ zenon_H469); [ zenon_intro zenon_H46b | zenon_intro zenon_H46a ].
% 18.84/19.01 apply (zenon_notand_s _ _ zenon_H46b); [ zenon_intro zenon_H459 | zenon_intro zenon_H46c ].
% 18.84/19.01 exact (zenon_H459 zenon_H455).
% 18.84/19.01 elim (classic ((~((c_tptpgeo_member7_mt) = (c_tptpgeo_spindleheadmt)))/\(~(genlmt (c_tptpgeo_member7_mt) (c_tptpgeo_spindleheadmt))))); [ zenon_intro zenon_H46d | zenon_intro zenon_H46e ].
% 18.84/19.01 apply (zenon_and_s _ _ zenon_H46d). zenon_intro zenon_H470. zenon_intro zenon_H46f.
% 18.84/19.01 exact (zenon_H46f ax1_63).
% 18.84/19.01 cut ((genlmt (c_tptpgeo_spindleheadmt) (c_worldgeographymt)) = (genlmt (c_tptpgeo_member7_mt) (c_worldgeographymt))).
% 18.84/19.01 intro zenon_D_pnotp.
% 18.84/19.01 apply zenon_H46c.
% 18.84/19.01 rewrite <- zenon_D_pnotp.
% 18.84/19.01 exact ax1_326.
% 18.84/19.01 cut (((c_worldgeographymt) = (c_worldgeographymt))); [idtac | apply NNPP; zenon_intro zenon_H471].
% 18.84/19.01 cut (((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member7_mt))); [idtac | apply NNPP; zenon_intro zenon_H472].
% 18.84/19.01 congruence.
% 18.84/19.01 apply (zenon_notand_s _ _ zenon_H46e); [ zenon_intro zenon_H474 | zenon_intro zenon_H473 ].
% 18.84/19.01 apply zenon_H474. zenon_intro zenon_H475.
% 18.84/19.01 elim (classic ((c_tptpgeo_member7_mt) = (c_tptpgeo_member7_mt))); [ zenon_intro zenon_H476 | zenon_intro zenon_H477 ].
% 18.84/19.01 cut (((c_tptpgeo_member7_mt) = (c_tptpgeo_member7_mt)) = ((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member7_mt))).
% 18.84/19.01 intro zenon_D_pnotp.
% 18.84/19.01 apply zenon_H472.
% 18.84/19.01 rewrite <- zenon_D_pnotp.
% 18.84/19.01 exact zenon_H476.
% 18.84/19.01 cut (((c_tptpgeo_member7_mt) = (c_tptpgeo_member7_mt))); [idtac | apply NNPP; zenon_intro zenon_H477].
% 18.84/19.01 cut (((c_tptpgeo_member7_mt) = (c_tptpgeo_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H470].
% 18.84/19.01 congruence.
% 18.84/19.01 exact (zenon_H470 zenon_H475).
% 18.84/19.01 apply zenon_H477. apply refl_equal.
% 18.84/19.01 apply zenon_H477. apply refl_equal.
% 18.84/19.01 apply zenon_H473. zenon_intro ax1_63.
% 18.84/19.01 generalize (zenon_H452 (c_tptpgeo_member7_mt)). zenon_intro zenon_H478.
% 18.84/19.01 generalize (zenon_H478 (c_tptpgeo_spindleheadmt)). zenon_intro zenon_H479.
% 18.84/19.01 generalize (zenon_H479 (c_worldgeographymt)). zenon_intro zenon_H47a.
% 18.84/19.04 apply (zenon_imply_s _ _ zenon_H47a); [ zenon_intro zenon_H46f | zenon_intro zenon_H47b ].
% 18.84/19.04 exact (zenon_H46f ax1_63).
% 18.84/19.04 apply (zenon_imply_s _ _ zenon_H47b); [ zenon_intro zenon_H47d | zenon_intro zenon_H47c ].
% 18.84/19.04 exact (zenon_H47d ax1_326).
% 18.84/19.04 exact (zenon_H46c zenon_H47c).
% 18.84/19.04 apply zenon_H471. apply refl_equal.
% 18.84/19.04 exact (zenon_H467 zenon_H46a).
% 18.84/19.04 exact (zenon_H456 zenon_H466).
% 18.84/19.04 apply zenon_H453. zenon_intro zenon_Tx_bsg. apply NNPP. zenon_intro zenon_H47f.
% 18.84/19.04 apply zenon_H47f. zenon_intro zenon_Ty_bsi. apply NNPP. zenon_intro zenon_H481.
% 18.84/19.04 apply zenon_H481. zenon_intro zenon_Tz_bsk. apply NNPP. zenon_intro zenon_H483.
% 18.84/19.04 apply (zenon_notimply_s _ _ zenon_H483). zenon_intro zenon_H485. zenon_intro zenon_H484.
% 18.84/19.04 apply (zenon_notimply_s _ _ zenon_H484). zenon_intro zenon_H487. zenon_intro zenon_H486.
% 18.84/19.04 generalize (ax1_1128 zenon_Tx_bsg). zenon_intro zenon_H488.
% 18.84/19.04 generalize (zenon_H488 zenon_Ty_bsi). zenon_intro zenon_H489.
% 18.84/19.04 generalize (zenon_H489 zenon_Tz_bsk). zenon_intro zenon_H48a.
% 18.84/19.04 apply (zenon_imply_s _ _ zenon_H48a); [ zenon_intro zenon_H48c | zenon_intro zenon_H48b ].
% 18.84/19.04 apply (zenon_notand_s _ _ zenon_H48c); [ zenon_intro zenon_H48e | zenon_intro zenon_H48d ].
% 18.84/19.04 exact (zenon_H48e zenon_H485).
% 18.84/19.04 exact (zenon_H48d zenon_H487).
% 18.84/19.04 exact (zenon_H486 zenon_H48b).
% 18.84/19.04 apply zenon_H451. zenon_intro zenon_Tx_bsx. apply NNPP. zenon_intro zenon_H490.
% 18.84/19.04 apply zenon_H490. zenon_intro zenon_Ty_bsz. apply NNPP. zenon_intro zenon_H492.
% 18.84/19.04 apply zenon_H492. zenon_intro zenon_Tz_btb. apply NNPP. zenon_intro zenon_H494.
% 18.84/19.04 apply (zenon_notimply_s _ _ zenon_H494). zenon_intro zenon_H496. zenon_intro zenon_H495.
% 18.84/19.04 apply (zenon_notimply_s _ _ zenon_H495). zenon_intro zenon_H498. zenon_intro zenon_H497.
% 18.84/19.04 generalize (ax1_933 zenon_Tx_bsx). zenon_intro zenon_H499.
% 18.84/19.04 generalize (zenon_H499 zenon_Ty_bsz). zenon_intro zenon_H49a.
% 18.84/19.04 generalize (zenon_H49a zenon_Tz_btb). zenon_intro zenon_H49b.
% 18.84/19.04 apply (zenon_imply_s _ _ zenon_H49b); [ zenon_intro zenon_H49d | zenon_intro zenon_H49c ].
% 18.84/19.04 apply (zenon_notand_s _ _ zenon_H49d); [ zenon_intro zenon_H49f | zenon_intro zenon_H49e ].
% 18.84/19.04 exact (zenon_H49f zenon_H496).
% 18.84/19.04 exact (zenon_H49e zenon_H498).
% 18.84/19.04 exact (zenon_H497 zenon_H49c).
% 18.84/19.04 Qed.
% 18.84/19.04 % SZS output end Proof
% 18.84/19.04 (* END-PROOF *)
% 18.84/19.04 nodes searched: 680332
% 18.84/19.04 max branch formulas: 346667
% 18.84/19.04 proof nodes created: 351
% 18.84/19.04 formulas created: 5015634
% 18.84/19.04
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