TSTP Solution File: CSR037+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : CSR037+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n028.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 00:01:58 EDT 2022
% Result : Theorem 1.19s 1.38s
% Output : Proof 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : CSR037+3 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n028.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 15:04:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.19/1.38 (* PROOF-FOUND *)
% 1.19/1.38 % SZS status Theorem
% 1.19/1.38 (* BEGIN-PROOF *)
% 1.19/1.38 % SZS output start Proof
% 1.19/1.38 Theorem query137 : ((mtvisible (c_tptpgeo_member7_mt))->(geographicalsubregions (c_georegion_l2_x5_y8) (c_georegion_l4_x45_y72))).
% 1.19/1.38 Proof.
% 1.19/1.38 assert (zenon_L1_ : (~((c_georegion_l4_x45_y72) = (c_georegion_l4_x45_y72))) -> False).
% 1.19/1.38 do 0 intro. intros zenon_H1ce5.
% 1.19/1.38 apply zenon_H1ce5. apply refl_equal.
% 1.19/1.38 (* end of lemma zenon_L1_ *)
% 1.19/1.38 apply NNPP. intro zenon_G.
% 1.19/1.38 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_H1ce6 | zenon_intro zenon_H1ce7 ].
% 1.19/1.38 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H1ce9. zenon_intro zenon_H1ce8.
% 1.19/1.38 apply (zenon_imply_s _ _ ax2_902); [ zenon_intro zenon_H1ceb | zenon_intro zenon_H1cea ].
% 1.19/1.38 exact (zenon_H1ceb zenon_H1ce9).
% 1.19/1.38 apply (zenon_imply_s _ _ ax2_1656); [ zenon_intro zenon_H1ceb | zenon_intro zenon_H1cec ].
% 1.19/1.38 exact (zenon_H1ceb zenon_H1ce9).
% 1.19/1.38 elim (classic ((~((c_georegion_l2_x5_y8) = (c_georegion_l3_x15_y24)))/\(~(geographicalsubregions (c_georegion_l2_x5_y8) (c_georegion_l3_x15_y24))))); [ zenon_intro zenon_H1ced | zenon_intro zenon_H1cee ].
% 1.19/1.38 apply (zenon_and_s _ _ zenon_H1ced). zenon_intro zenon_H1cf0. zenon_intro zenon_H1cef.
% 1.19/1.38 exact (zenon_H1cef zenon_H1cea).
% 1.19/1.38 cut ((geographicalsubregions (c_georegion_l3_x15_y24) (c_georegion_l4_x45_y72)) = (geographicalsubregions (c_georegion_l2_x5_y8) (c_georegion_l4_x45_y72))).
% 1.19/1.38 intro zenon_D_pnotp.
% 1.19/1.38 apply zenon_H1ce8.
% 1.19/1.38 rewrite <- zenon_D_pnotp.
% 1.19/1.38 exact zenon_H1cec.
% 1.19/1.38 cut (((c_georegion_l4_x45_y72) = (c_georegion_l4_x45_y72))); [idtac | apply NNPP; zenon_intro zenon_H1ce5].
% 1.19/1.38 cut (((c_georegion_l3_x15_y24) = (c_georegion_l2_x5_y8))); [idtac | apply NNPP; zenon_intro zenon_H1cf1].
% 1.19/1.38 congruence.
% 1.19/1.38 apply (zenon_notand_s _ _ zenon_H1cee); [ zenon_intro zenon_H1cf3 | zenon_intro zenon_H1cf2 ].
% 1.19/1.38 apply zenon_H1cf3. zenon_intro zenon_H1cf4.
% 1.19/1.38 elim (classic ((c_georegion_l2_x5_y8) = (c_georegion_l2_x5_y8))); [ zenon_intro zenon_H1cf5 | zenon_intro zenon_H1cf6 ].
% 1.19/1.38 cut (((c_georegion_l2_x5_y8) = (c_georegion_l2_x5_y8)) = ((c_georegion_l3_x15_y24) = (c_georegion_l2_x5_y8))).
% 1.19/1.38 intro zenon_D_pnotp.
% 1.19/1.38 apply zenon_H1cf1.
% 1.19/1.38 rewrite <- zenon_D_pnotp.
% 1.19/1.38 exact zenon_H1cf5.
% 1.19/1.38 cut (((c_georegion_l2_x5_y8) = (c_georegion_l2_x5_y8))); [idtac | apply NNPP; zenon_intro zenon_H1cf6].
% 1.19/1.38 cut (((c_georegion_l2_x5_y8) = (c_georegion_l3_x15_y24))); [idtac | apply NNPP; zenon_intro zenon_H1cf0].
% 1.19/1.38 congruence.
% 1.19/1.38 exact (zenon_H1cf0 zenon_H1cf4).
% 1.19/1.38 apply zenon_H1cf6. apply refl_equal.
% 1.19/1.38 apply zenon_H1cf6. apply refl_equal.
% 1.19/1.38 apply zenon_H1cf2. zenon_intro zenon_H1cea.
% 1.19/1.38 generalize (zenon_H1ce6 (c_georegion_l2_x5_y8)). zenon_intro zenon_H1cf7.
% 1.19/1.38 generalize (zenon_H1cf7 (c_georegion_l3_x15_y24)). zenon_intro zenon_H1cf8.
% 1.19/1.38 generalize (zenon_H1cf8 (c_georegion_l4_x45_y72)). zenon_intro zenon_H1cf9.
% 1.19/1.38 apply (zenon_imply_s _ _ zenon_H1cf9); [ zenon_intro zenon_H1cef | zenon_intro zenon_H1cfa ].
% 1.19/1.38 exact (zenon_H1cef zenon_H1cea).
% 1.19/1.38 apply (zenon_imply_s _ _ zenon_H1cfa); [ zenon_intro zenon_H1cfc | zenon_intro zenon_H1cfb ].
% 1.19/1.38 exact (zenon_H1cfc zenon_H1cec).
% 1.19/1.38 exact (zenon_H1ce8 zenon_H1cfb).
% 1.19/1.38 apply zenon_H1ce5. apply refl_equal.
% 1.19/1.38 apply zenon_H1ce7. zenon_intro zenon_Tx_kzl. apply NNPP. zenon_intro zenon_H1cfe.
% 1.19/1.38 apply zenon_H1cfe. zenon_intro zenon_Ty_kzn. apply NNPP. zenon_intro zenon_H1d00.
% 1.19/1.38 apply zenon_H1d00. zenon_intro zenon_Tz_kzp. apply NNPP. zenon_intro zenon_H1d02.
% 1.19/1.38 apply (zenon_notimply_s _ _ zenon_H1d02). zenon_intro zenon_H1d04. zenon_intro zenon_H1d03.
% 1.19/1.38 apply (zenon_notimply_s _ _ zenon_H1d03). zenon_intro zenon_H1d06. zenon_intro zenon_H1d05.
% 1.19/1.38 generalize (ax2_7881 zenon_Tx_kzl). zenon_intro zenon_H1d07.
% 1.19/1.38 generalize (zenon_H1d07 zenon_Ty_kzn). zenon_intro zenon_H1d08.
% 1.19/1.38 generalize (zenon_H1d08 zenon_Tz_kzp). zenon_intro zenon_H1d09.
% 1.19/1.38 apply (zenon_imply_s _ _ zenon_H1d09); [ zenon_intro zenon_H1d0b | zenon_intro zenon_H1d0a ].
% 1.19/1.38 apply (zenon_notand_s _ _ zenon_H1d0b); [ zenon_intro zenon_H1d0d | zenon_intro zenon_H1d0c ].
% 1.19/1.38 exact (zenon_H1d0d zenon_H1d04).
% 1.19/1.38 exact (zenon_H1d0c zenon_H1d06).
% 1.19/1.38 exact (zenon_H1d05 zenon_H1d0a).
% 1.19/1.38 Qed.
% 1.19/1.38 % SZS output end Proof
% 1.19/1.38 (* END-PROOF *)
% 1.19/1.38 nodes searched: 20877
% 1.19/1.38 max branch formulas: 23621
% 1.19/1.38 proof nodes created: 115
% 1.19/1.38 formulas created: 202090
% 1.19/1.38
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