TSTP Solution File: CSR037+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : CSR037+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n011.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 0.19s 0.51s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR037+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n011.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 05:36:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 (* PROOF-FOUND *)
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 (* BEGIN-PROOF *)
% 0.19/0.51 % SZS output start Proof
% 0.19/0.51 Theorem query37 : ((mtvisible (c_tptpgeo_member7_mt))->(geographicalsubregions (c_georegion_l2_x5_y8) (c_georegion_l4_x45_y72))).
% 0.19/0.51 Proof.
% 0.19/0.51 apply NNPP. intro zenon_G.
% 0.19/0.51 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_H36 | zenon_intro zenon_H37 ].
% 0.19/0.51 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H39. zenon_intro zenon_H38.
% 0.19/0.51 apply (zenon_imply_s _ _ just12); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 0.19/0.51 exact (zenon_H3b zenon_H39).
% 0.19/0.51 apply (zenon_imply_s _ _ just13); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 0.19/0.51 exact (zenon_H3b zenon_H39).
% 0.19/0.51 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_H3d | zenon_intro zenon_H3e ].
% 0.19/0.51 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H40. zenon_intro zenon_H3f.
% 0.19/0.51 exact (zenon_H3f zenon_H3a).
% 0.19/0.51 cut ((geographicalsubregions (c_georegion_l3_x15_y24) (c_georegion_l4_x45_y72)) = (geographicalsubregions (c_georegion_l2_x5_y8) (c_georegion_l4_x45_y72))).
% 0.19/0.51 intro zenon_D_pnotp.
% 0.19/0.51 apply zenon_H38.
% 0.19/0.51 rewrite <- zenon_D_pnotp.
% 0.19/0.51 exact zenon_H3c.
% 0.19/0.51 cut (((c_georegion_l4_x45_y72) = (c_georegion_l4_x45_y72))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 0.19/0.51 cut (((c_georegion_l3_x15_y24) = (c_georegion_l2_x5_y8))); [idtac | apply NNPP; zenon_intro zenon_H42].
% 0.19/0.51 congruence.
% 0.19/0.51 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ].
% 0.19/0.51 apply zenon_H44. zenon_intro zenon_H45.
% 0.19/0.51 elim (classic ((c_georegion_l2_x5_y8) = (c_georegion_l2_x5_y8))); [ zenon_intro zenon_H46 | zenon_intro zenon_H47 ].
% 0.19/0.51 cut (((c_georegion_l2_x5_y8) = (c_georegion_l2_x5_y8)) = ((c_georegion_l3_x15_y24) = (c_georegion_l2_x5_y8))).
% 0.19/0.51 intro zenon_D_pnotp.
% 0.19/0.51 apply zenon_H42.
% 0.19/0.51 rewrite <- zenon_D_pnotp.
% 0.19/0.51 exact zenon_H46.
% 0.19/0.51 cut (((c_georegion_l2_x5_y8) = (c_georegion_l2_x5_y8))); [idtac | apply NNPP; zenon_intro zenon_H47].
% 0.19/0.51 cut (((c_georegion_l2_x5_y8) = (c_georegion_l3_x15_y24))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 0.19/0.51 congruence.
% 0.19/0.51 exact (zenon_H40 zenon_H45).
% 0.19/0.51 apply zenon_H47. apply refl_equal.
% 0.19/0.51 apply zenon_H47. apply refl_equal.
% 0.19/0.51 apply zenon_H43. zenon_intro zenon_H3a.
% 0.19/0.51 generalize (zenon_H36 (c_georegion_l2_x5_y8)). zenon_intro zenon_H48.
% 0.19/0.51 generalize (zenon_H48 (c_georegion_l3_x15_y24)). zenon_intro zenon_H49.
% 0.19/0.51 generalize (zenon_H49 (c_georegion_l4_x45_y72)). zenon_intro zenon_H4a.
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H4a); [ zenon_intro zenon_H3f | zenon_intro zenon_H4b ].
% 0.19/0.51 exact (zenon_H3f zenon_H3a).
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H4b); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ].
% 0.19/0.51 exact (zenon_H4d zenon_H3c).
% 0.19/0.51 exact (zenon_H38 zenon_H4c).
% 0.19/0.51 apply zenon_H41. apply refl_equal.
% 0.19/0.51 apply zenon_H37. zenon_intro zenon_Tx_da. apply NNPP. zenon_intro zenon_H4f.
% 0.19/0.51 apply zenon_H4f. zenon_intro zenon_Ty_dc. apply NNPP. zenon_intro zenon_H51.
% 0.19/0.51 apply zenon_H51. zenon_intro zenon_Tz_de. apply NNPP. zenon_intro zenon_H53.
% 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H53). zenon_intro zenon_H55. zenon_intro zenon_H54.
% 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56.
% 0.19/0.51 generalize (just34 zenon_Tx_da). zenon_intro zenon_H58.
% 0.19/0.51 generalize (zenon_H58 zenon_Ty_dc). zenon_intro zenon_H59.
% 0.19/0.51 generalize (zenon_H59 zenon_Tz_de). zenon_intro zenon_H5a.
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ].
% 0.19/0.51 apply (zenon_notand_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ].
% 0.19/0.51 exact (zenon_H5e zenon_H55).
% 0.19/0.51 exact (zenon_H5d zenon_H57).
% 0.19/0.51 exact (zenon_H56 zenon_H5b).
% 0.19/0.51 Qed.
% 0.19/0.51 % SZS output end Proof
% 0.19/0.51 (* END-PROOF *)
% 0.19/0.51 nodes searched: 121
% 0.19/0.51 max branch formulas: 167
% 0.19/0.51 proof nodes created: 8
% 0.19/0.51 formulas created: 1177
% 0.19/0.51
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