TSTP Solution File: CSR057+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : CSR057+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n020.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 00:02:18 EDT 2022

% Result   : Theorem 0.16s 0.47s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CSR057+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.11  % Command  : run_zenon %s %d
% 0.11/0.31  % Computer : n020.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Sat Jun 11 03:29:05 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.16/0.47  (* PROOF-FOUND *)
% 0.16/0.47  % SZS status Theorem
% 0.16/0.47  (* BEGIN-PROOF *)
% 0.16/0.47  % SZS output start Proof
% 0.16/0.47  Theorem query57 : (exists X : zenon_U, ((mtvisible (c_tptpgeo_member8_mt))->(inregion X (c_georegion_l4_x75_y75)))).
% 0.16/0.47  Proof.
% 0.16/0.47  apply NNPP. intro zenon_G.
% 0.16/0.47  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_H42 | zenon_intro zenon_H43 ].
% 0.16/0.47  apply (zenon_imply_s _ _ just10); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ].
% 0.16/0.47  apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H46.
% 0.16/0.47  apply (zenon_notimply_s _ _ zenon_H46). zenon_intro zenon_H48. zenon_intro zenon_H47.
% 0.16/0.47  generalize (just93 (c_tptpgeo_member8_mt)). zenon_intro zenon_H49.
% 0.16/0.47  generalize (zenon_H49 (c_worldgeographymt)). zenon_intro zenon_H4a.
% 0.16/0.47  apply (zenon_imply_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ].
% 0.16/0.47  apply (zenon_notand_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 0.16/0.47  exact (zenon_H4e zenon_H48).
% 0.16/0.47  elim (classic ((~((c_tptpgeo_member8_mt) = (c_tptpgeo_spindleheadmt)))/\(~(genlmt (c_tptpgeo_member8_mt) (c_tptpgeo_spindleheadmt))))); [ zenon_intro zenon_H4f | zenon_intro zenon_H50 ].
% 0.16/0.47  apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H52. zenon_intro zenon_H51.
% 0.16/0.47  exact (zenon_H51 just7).
% 0.16/0.47  cut ((genlmt (c_tptpgeo_spindleheadmt) (c_worldgeographymt)) = (genlmt (c_tptpgeo_member8_mt) (c_worldgeographymt))).
% 0.16/0.47  intro zenon_D_pnotp.
% 0.16/0.47  apply zenon_H4d.
% 0.16/0.47  rewrite <- zenon_D_pnotp.
% 0.16/0.47  exact just6.
% 0.16/0.47  cut (((c_worldgeographymt) = (c_worldgeographymt))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 0.16/0.47  cut (((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member8_mt))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 0.16/0.47  congruence.
% 0.16/0.47  apply (zenon_notand_s _ _ zenon_H50); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ].
% 0.16/0.47  apply zenon_H56. zenon_intro zenon_H57.
% 0.16/0.47  elim (classic ((c_tptpgeo_member8_mt) = (c_tptpgeo_member8_mt))); [ zenon_intro zenon_H58 | zenon_intro zenon_H59 ].
% 0.16/0.47  cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_member8_mt)) = ((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member8_mt))).
% 0.16/0.47  intro zenon_D_pnotp.
% 0.16/0.47  apply zenon_H54.
% 0.16/0.47  rewrite <- zenon_D_pnotp.
% 0.16/0.47  exact zenon_H58.
% 0.16/0.47  cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_member8_mt))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 0.16/0.47  cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 0.16/0.47  congruence.
% 0.16/0.47  exact (zenon_H52 zenon_H57).
% 0.16/0.47  apply zenon_H59. apply refl_equal.
% 0.16/0.47  apply zenon_H59. apply refl_equal.
% 0.16/0.47  apply zenon_H55. zenon_intro just7.
% 0.16/0.47  generalize (zenon_H42 (c_tptpgeo_member8_mt)). zenon_intro zenon_H5a.
% 0.16/0.47  generalize (zenon_H5a (c_tptpgeo_spindleheadmt)). zenon_intro zenon_H5b.
% 0.16/0.47  generalize (zenon_H5b (c_worldgeographymt)). zenon_intro zenon_H5c.
% 0.16/0.47  apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_H51 | zenon_intro zenon_H5d ].
% 0.16/0.47  exact (zenon_H51 just7).
% 0.16/0.47  apply (zenon_imply_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ].
% 0.16/0.47  exact (zenon_H5f just6).
% 0.16/0.47  exact (zenon_H4d zenon_H5e).
% 0.16/0.47  apply zenon_H53. apply refl_equal.
% 0.16/0.47  exact (zenon_H45 zenon_H4b).
% 0.16/0.47  generalize (just46 (c_georegion_l4_x75_y75)). zenon_intro zenon_H60.
% 0.16/0.47  apply (zenon_imply_s _ _ zenon_H60); [ zenon_intro zenon_H62 | zenon_intro zenon_H61 ].
% 0.16/0.47  generalize (just47 (c_georegion_l4_x75_y75)). zenon_intro zenon_H63.
% 0.16/0.47  apply (zenon_imply_s _ _ zenon_H63); [ zenon_intro zenon_H65 | zenon_intro zenon_H64 ].
% 0.16/0.47  generalize (just17 (c_georegion_l4_x75_y75)). zenon_intro zenon_H66.
% 0.16/0.47  apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_H67 | zenon_intro zenon_H61 ].
% 0.16/0.47  generalize (just19 (c_georegion_l4_x75_y75)). zenon_intro zenon_H68.
% 0.16/0.47  apply (zenon_imply_s _ _ zenon_H68); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ].
% 0.16/0.47  generalize (just23 (c_georegion_l4_x75_y75)). zenon_intro zenon_H6b.
% 0.16/0.47  apply (zenon_imply_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ].
% 0.16/0.47  generalize (just12 (c_georegion_l4_x75_y75)). zenon_intro zenon_H6e.
% 0.16/0.47  apply (zenon_imply_s _ _ zenon_H6e); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ].
% 0.16/0.47  exact (zenon_H70 zenon_H44).
% 0.16/0.47  exact (zenon_H6d zenon_H6f).
% 0.16/0.47  exact (zenon_H6a zenon_H6c).
% 0.16/0.47  exact (zenon_H67 zenon_H69).
% 0.16/0.47  exact (zenon_H65 zenon_H61).
% 0.16/0.47  exact (zenon_H62 zenon_H64).
% 0.16/0.47  generalize (just84 (c_georegion_l4_x75_y75)). zenon_intro zenon_H71.
% 0.16/0.47  apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H65 | zenon_intro zenon_H72 ].
% 0.16/0.47  exact (zenon_H65 zenon_H61).
% 0.16/0.47  apply zenon_G. exists (c_georegion_l4_x75_y75). apply NNPP. zenon_intro zenon_H73.
% 0.16/0.47  apply (zenon_notimply_s _ _ zenon_H73). zenon_intro zenon_H48. zenon_intro zenon_H74.
% 0.16/0.47  exact (zenon_H74 zenon_H72).
% 0.16/0.47  apply zenon_H43. zenon_intro zenon_Tx_en. apply NNPP. zenon_intro zenon_H76.
% 0.16/0.47  apply zenon_H76. zenon_intro zenon_Ty_ep. apply NNPP. zenon_intro zenon_H78.
% 0.16/0.47  apply zenon_H78. zenon_intro zenon_Tz_er. apply NNPP. zenon_intro zenon_H7a.
% 0.16/0.47  apply (zenon_notimply_s _ _ zenon_H7a). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 0.16/0.47  apply (zenon_notimply_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 0.16/0.47  generalize (just98 zenon_Tx_en). zenon_intro zenon_H7f.
% 0.16/0.47  generalize (zenon_H7f zenon_Ty_ep). zenon_intro zenon_H80.
% 0.16/0.47  generalize (zenon_H80 zenon_Tz_er). zenon_intro zenon_H81.
% 0.16/0.47  apply (zenon_imply_s _ _ zenon_H81); [ zenon_intro zenon_H83 | zenon_intro zenon_H82 ].
% 0.16/0.47  apply (zenon_notand_s _ _ zenon_H83); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ].
% 0.16/0.47  exact (zenon_H85 zenon_H7c).
% 0.16/0.47  exact (zenon_H84 zenon_H7e).
% 0.16/0.47  exact (zenon_H7d zenon_H82).
% 0.16/0.47  Qed.
% 0.16/0.47  % SZS output end Proof
% 0.16/0.47  (* END-PROOF *)
% 0.16/0.47  nodes searched: 437
% 0.16/0.47  max branch formulas: 298
% 0.16/0.47  proof nodes created: 51
% 0.16/0.47  formulas created: 2103
% 0.16/0.47  
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