TSTP Solution File: CSR029+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : CSR029+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n032.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 0.12s 0.38s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem  : CSR029+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.08  % Command  : run_zenon %s %d
% 0.09/0.27  % Computer : n032.cluster.edu
% 0.09/0.27  % Model    : x86_64 x86_64
% 0.09/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27  % Memory   : 8042.1875MB
% 0.09/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27  % CPULimit : 300
% 0.09/0.27  % WCLimit  : 600
% 0.09/0.27  % DateTime : Sat Jun 11 05:41:39 EDT 2022
% 0.09/0.27  % CPUTime  : 
% 0.12/0.38  (* PROOF-FOUND *)
% 0.12/0.38  % SZS status Theorem
% 0.12/0.38  (* BEGIN-PROOF *)
% 0.12/0.38  % SZS output start Proof
% 0.12/0.38  Theorem query29 : ((mtvisible (c_tptpgeo_member3_mt))->((inregion (c_geolocation_x14_y39) (c_georegion_l3_x4_y13))/\(geolevel_3 (c_georegion_l3_x4_y13)))).
% 0.12/0.38  Proof.
% 0.12/0.38  apply NNPP. intro zenon_G.
% 0.12/0.38  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_H32 | zenon_intro zenon_H33 ].
% 0.12/0.38  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_H34 | zenon_intro zenon_H35 ].
% 0.12/0.38  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.12/0.38  apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ].
% 0.12/0.38  apply (zenon_imply_s _ _ just11); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 0.12/0.38  exact (zenon_H3b zenon_H37).
% 0.12/0.38  apply (zenon_imply_s _ _ just12); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 0.12/0.38  exact (zenon_H3b zenon_H37).
% 0.12/0.38  elim (classic (inregion (c_georegion_l4_x14_y39) (c_georegion_l3_x4_y13))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ].
% 0.12/0.38  generalize (zenon_H32 (c_geolocation_x14_y39)). zenon_intro zenon_H3f.
% 0.12/0.38  generalize (zenon_H3f (c_georegion_l4_x14_y39)). zenon_intro zenon_H40.
% 0.12/0.38  generalize (zenon_H40 (c_georegion_l3_x4_y13)). zenon_intro zenon_H41.
% 0.12/0.38  apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ].
% 0.12/0.38  exact (zenon_H43 zenon_H3c).
% 0.12/0.38  apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H3e | zenon_intro zenon_H44 ].
% 0.12/0.38  exact (zenon_H3e zenon_H3d).
% 0.12/0.38  exact (zenon_H39 zenon_H44).
% 0.12/0.38  generalize (just5 (c_georegion_l3_x4_y13)). zenon_intro zenon_H45.
% 0.12/0.38  generalize (zenon_H45 (c_georegion_l4_x14_y39)). zenon_intro zenon_H46.
% 0.12/0.38  apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H47 | zenon_intro zenon_H3d ].
% 0.12/0.38  exact (zenon_H47 zenon_H3a).
% 0.12/0.38  exact (zenon_H3e zenon_H3d).
% 0.12/0.38  apply (zenon_imply_s _ _ just10); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ].
% 0.12/0.38  generalize (just49 (c_tptpgeo_member3_mt)). zenon_intro zenon_H4a.
% 0.12/0.38  generalize (zenon_H4a (c_worldgeographymt)). zenon_intro zenon_H4b.
% 0.12/0.38  apply (zenon_imply_s _ _ zenon_H4b); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ].
% 0.12/0.38  apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H3b | zenon_intro zenon_H4e ].
% 0.12/0.38  exact (zenon_H3b zenon_H37).
% 0.12/0.38  elim (classic ((~((c_tptpgeo_member3_mt) = (c_tptpgeo_spindleheadmt)))/\(~(genlmt (c_tptpgeo_member3_mt) (c_tptpgeo_spindleheadmt))))); [ zenon_intro zenon_H4f | zenon_intro zenon_H50 ].
% 0.12/0.38  apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H52. zenon_intro zenon_H51.
% 0.12/0.38  exact (zenon_H51 just9).
% 0.12/0.38  cut ((genlmt (c_tptpgeo_spindleheadmt) (c_worldgeographymt)) = (genlmt (c_tptpgeo_member3_mt) (c_worldgeographymt))).
% 0.12/0.38  intro zenon_D_pnotp.
% 0.12/0.38  apply zenon_H4e.
% 0.12/0.38  rewrite <- zenon_D_pnotp.
% 0.12/0.38  exact just8.
% 0.12/0.38  cut (((c_worldgeographymt) = (c_worldgeographymt))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 0.12/0.38  cut (((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member3_mt))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 0.12/0.38  congruence.
% 0.12/0.38  apply (zenon_notand_s _ _ zenon_H50); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ].
% 0.12/0.38  apply zenon_H56. zenon_intro zenon_H57.
% 0.12/0.38  elim (classic ((c_tptpgeo_member3_mt) = (c_tptpgeo_member3_mt))); [ zenon_intro zenon_H58 | zenon_intro zenon_H59 ].
% 0.12/0.38  cut (((c_tptpgeo_member3_mt) = (c_tptpgeo_member3_mt)) = ((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member3_mt))).
% 0.12/0.38  intro zenon_D_pnotp.
% 0.12/0.38  apply zenon_H54.
% 0.12/0.38  rewrite <- zenon_D_pnotp.
% 0.12/0.38  exact zenon_H58.
% 0.12/0.38  cut (((c_tptpgeo_member3_mt) = (c_tptpgeo_member3_mt))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 0.12/0.38  cut (((c_tptpgeo_member3_mt) = (c_tptpgeo_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 0.12/0.38  congruence.
% 0.12/0.38  exact (zenon_H52 zenon_H57).
% 0.12/0.38  apply zenon_H59. apply refl_equal.
% 0.12/0.38  apply zenon_H59. apply refl_equal.
% 0.12/0.38  apply zenon_H55. zenon_intro just9.
% 0.12/0.38  generalize (zenon_H34 (c_tptpgeo_member3_mt)). zenon_intro zenon_H5a.
% 0.12/0.38  generalize (zenon_H5a (c_tptpgeo_spindleheadmt)). zenon_intro zenon_H5b.
% 0.12/0.38  generalize (zenon_H5b (c_worldgeographymt)). zenon_intro zenon_H5c.
% 0.12/0.38  apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_H51 | zenon_intro zenon_H5d ].
% 0.12/0.38  exact (zenon_H51 just9).
% 0.12/0.38  apply (zenon_imply_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ].
% 0.12/0.38  exact (zenon_H5f just8).
% 0.12/0.38  exact (zenon_H4e zenon_H5e).
% 0.12/0.38  apply zenon_H53. apply refl_equal.
% 0.12/0.38  exact (zenon_H49 zenon_H4c).
% 0.12/0.38  exact (zenon_H38 zenon_H48).
% 0.12/0.38  apply zenon_H35. zenon_intro zenon_Tx_ds. apply NNPP. zenon_intro zenon_H61.
% 0.12/0.38  apply zenon_H61. zenon_intro zenon_Ty_du. apply NNPP. zenon_intro zenon_H63.
% 0.12/0.38  apply zenon_H63. zenon_intro zenon_Tz_dw. apply NNPP. zenon_intro zenon_H65.
% 0.12/0.38  apply (zenon_notimply_s _ _ zenon_H65). zenon_intro zenon_H67. zenon_intro zenon_H66.
% 0.12/0.38  apply (zenon_notimply_s _ _ zenon_H66). zenon_intro zenon_H69. zenon_intro zenon_H68.
% 0.12/0.38  generalize (just54 zenon_Tx_ds). zenon_intro zenon_H6a.
% 0.12/0.38  generalize (zenon_H6a zenon_Ty_du). zenon_intro zenon_H6b.
% 0.12/0.38  generalize (zenon_H6b zenon_Tz_dw). zenon_intro zenon_H6c.
% 0.12/0.38  apply (zenon_imply_s _ _ zenon_H6c); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 0.12/0.38  apply (zenon_notand_s _ _ zenon_H6e); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ].
% 0.12/0.38  exact (zenon_H70 zenon_H67).
% 0.12/0.38  exact (zenon_H6f zenon_H69).
% 0.12/0.38  exact (zenon_H68 zenon_H6d).
% 0.12/0.38  apply zenon_H33. zenon_intro zenon_Tx_ej. apply NNPP. zenon_intro zenon_H72.
% 0.12/0.38  apply zenon_H72. zenon_intro zenon_Ty_el. apply NNPP. zenon_intro zenon_H74.
% 0.12/0.38  apply zenon_H74. zenon_intro zenon_Tz_en. apply NNPP. zenon_intro zenon_H76.
% 0.12/0.38  apply (zenon_notimply_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 0.12/0.38  apply (zenon_notimply_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 0.12/0.38  generalize (just41 zenon_Tx_ej). zenon_intro zenon_H7b.
% 0.12/0.38  generalize (zenon_H7b zenon_Ty_el). zenon_intro zenon_H7c.
% 0.12/0.38  generalize (zenon_H7c zenon_Tz_en). zenon_intro zenon_H7d.
% 0.12/0.38  apply (zenon_imply_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 0.12/0.38  apply (zenon_notand_s _ _ zenon_H7f); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ].
% 0.12/0.38  exact (zenon_H81 zenon_H78).
% 0.12/0.38  exact (zenon_H80 zenon_H7a).
% 0.12/0.38  exact (zenon_H79 zenon_H7e).
% 0.12/0.38  Qed.
% 0.12/0.38  % SZS output end Proof
% 0.12/0.38  (* END-PROOF *)
% 0.12/0.38  nodes searched: 298
% 0.12/0.38  max branch formulas: 195
% 0.12/0.38  proof nodes created: 31
% 0.12/0.38  formulas created: 1513
% 0.12/0.38  
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