TSTP Solution File: CSR057+2 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : CSR057+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n012.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 16.43s 16.61s
% Output   : Proof 16.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : CSR057+2 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n012.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
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 11 13:39:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 16.43/16.61  (* PROOF-FOUND *)
% 16.43/16.61  % SZS status Theorem
% 16.43/16.61  (* BEGIN-PROOF *)
% 16.43/16.61  % SZS output start Proof
% 16.43/16.61  Theorem query107 : (exists X : zenon_U, ((mtvisible (c_tptpgeo_member8_mt))->(inregion X (c_georegion_l4_x75_y75)))).
% 16.43/16.61  Proof.
% 16.43/16.61  apply NNPP. intro zenon_G.
% 16.43/16.61  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_H451 | zenon_intro zenon_H452 ].
% 16.43/16.61  apply (zenon_imply_s _ _ ax1_464); [ zenon_intro zenon_H454 | zenon_intro zenon_H453 ].
% 16.43/16.61  apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H455.
% 16.43/16.61  apply (zenon_notimply_s _ _ zenon_H455). zenon_intro zenon_H457. zenon_intro zenon_H456.
% 16.43/16.61  generalize (ax1_1123 (c_tptpgeo_member8_mt)). zenon_intro zenon_H458.
% 16.43/16.61  generalize (zenon_H458 (c_worldgeographymt)). zenon_intro zenon_H459.
% 16.43/16.61  apply (zenon_imply_s _ _ zenon_H459); [ zenon_intro zenon_H45b | zenon_intro zenon_H45a ].
% 16.43/16.61  apply (zenon_notand_s _ _ zenon_H45b); [ zenon_intro zenon_H45d | zenon_intro zenon_H45c ].
% 16.43/16.61  exact (zenon_H45d zenon_H457).
% 16.43/16.61  elim (classic ((~((c_tptpgeo_member8_mt) = (c_tptpgeo_spindleheadmt)))/\(~(genlmt (c_tptpgeo_member8_mt) (c_tptpgeo_spindleheadmt))))); [ zenon_intro zenon_H45e | zenon_intro zenon_H45f ].
% 16.43/16.61  apply (zenon_and_s _ _ zenon_H45e). zenon_intro zenon_H461. zenon_intro zenon_H460.
% 16.43/16.61  exact (zenon_H460 ax1_1).
% 16.43/16.61  cut ((genlmt (c_tptpgeo_spindleheadmt) (c_worldgeographymt)) = (genlmt (c_tptpgeo_member8_mt) (c_worldgeographymt))).
% 16.43/16.61  intro zenon_D_pnotp.
% 16.43/16.61  apply zenon_H45c.
% 16.43/16.61  rewrite <- zenon_D_pnotp.
% 16.43/16.61  exact ax1_326.
% 16.43/16.61  cut (((c_worldgeographymt) = (c_worldgeographymt))); [idtac | apply NNPP; zenon_intro zenon_H462].
% 16.43/16.61  cut (((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member8_mt))); [idtac | apply NNPP; zenon_intro zenon_H463].
% 16.43/16.61  congruence.
% 16.43/16.61  apply (zenon_notand_s _ _ zenon_H45f); [ zenon_intro zenon_H465 | zenon_intro zenon_H464 ].
% 16.43/16.61  apply zenon_H465. zenon_intro zenon_H466.
% 16.43/16.61  elim (classic ((c_tptpgeo_member8_mt) = (c_tptpgeo_member8_mt))); [ zenon_intro zenon_H467 | zenon_intro zenon_H468 ].
% 16.43/16.61  cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_member8_mt)) = ((c_tptpgeo_spindleheadmt) = (c_tptpgeo_member8_mt))).
% 16.43/16.61  intro zenon_D_pnotp.
% 16.43/16.61  apply zenon_H463.
% 16.43/16.61  rewrite <- zenon_D_pnotp.
% 16.43/16.61  exact zenon_H467.
% 16.43/16.61  cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_member8_mt))); [idtac | apply NNPP; zenon_intro zenon_H468].
% 16.43/16.61  cut (((c_tptpgeo_member8_mt) = (c_tptpgeo_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H461].
% 16.43/16.61  congruence.
% 16.43/16.61  exact (zenon_H461 zenon_H466).
% 16.43/16.61  apply zenon_H468. apply refl_equal.
% 16.43/16.61  apply zenon_H468. apply refl_equal.
% 16.43/16.61  apply zenon_H464. zenon_intro ax1_1.
% 16.43/16.61  generalize (zenon_H451 (c_tptpgeo_member8_mt)). zenon_intro zenon_H469.
% 16.43/16.61  generalize (zenon_H469 (c_tptpgeo_spindleheadmt)). zenon_intro zenon_H46a.
% 16.43/16.61  generalize (zenon_H46a (c_worldgeographymt)). zenon_intro zenon_H46b.
% 16.43/16.61  apply (zenon_imply_s _ _ zenon_H46b); [ zenon_intro zenon_H460 | zenon_intro zenon_H46c ].
% 16.43/16.61  exact (zenon_H460 ax1_1).
% 16.43/16.61  apply (zenon_imply_s _ _ zenon_H46c); [ zenon_intro zenon_H46e | zenon_intro zenon_H46d ].
% 16.43/16.61  exact (zenon_H46e ax1_326).
% 16.43/16.61  exact (zenon_H45c zenon_H46d).
% 16.43/16.61  apply zenon_H462. apply refl_equal.
% 16.43/16.61  exact (zenon_H454 zenon_H45a).
% 16.43/16.61  generalize (ax1_288 (c_georegion_l4_x75_y75)). zenon_intro zenon_H46f.
% 16.43/16.61  apply (zenon_imply_s _ _ zenon_H46f); [ zenon_intro zenon_H471 | zenon_intro zenon_H470 ].
% 16.43/16.61  generalize (ax1_39 (c_georegion_l4_x75_y75)). zenon_intro zenon_H472.
% 16.43/16.61  apply (zenon_imply_s _ _ zenon_H472); [ zenon_intro zenon_H474 | zenon_intro zenon_H473 ].
% 16.43/16.61  generalize (ax1_219 (c_georegion_l4_x75_y75)). zenon_intro zenon_H475.
% 16.43/16.61  apply (zenon_imply_s _ _ zenon_H475); [ zenon_intro zenon_H477 | zenon_intro zenon_H476 ].
% 16.43/16.61  generalize (ax1_462 (c_georegion_l4_x75_y75)). zenon_intro zenon_H478.
% 16.43/16.61  apply (zenon_imply_s _ _ zenon_H478); [ zenon_intro zenon_H47a | zenon_intro zenon_H479 ].
% 16.43/16.61  exact (zenon_H47a zenon_H453).
% 16.43/16.61  exact (zenon_H477 zenon_H479).
% 16.43/16.61  exact (zenon_H474 zenon_H476).
% 16.43/16.61  exact (zenon_H471 zenon_H473).
% 16.43/16.61  generalize (ax1_934 (c_georegion_l4_x75_y75)). zenon_intro zenon_H47b.
% 16.43/16.61  apply (zenon_imply_s _ _ zenon_H47b); [ zenon_intro zenon_H47d | zenon_intro zenon_H47c ].
% 16.43/16.61  exact (zenon_H47d zenon_H470).
% 16.43/16.61  apply zenon_G. exists (c_georegion_l4_x75_y75). apply NNPP. zenon_intro zenon_H47e.
% 16.43/16.63  apply (zenon_notimply_s _ _ zenon_H47e). zenon_intro zenon_H457. zenon_intro zenon_H47f.
% 16.43/16.63  exact (zenon_H47f zenon_H47c).
% 16.43/16.63  apply zenon_H452. zenon_intro zenon_Tx_bsi. apply NNPP. zenon_intro zenon_H481.
% 16.43/16.63  apply zenon_H481. zenon_intro zenon_Ty_bsk. apply NNPP. zenon_intro zenon_H483.
% 16.43/16.63  apply zenon_H483. zenon_intro zenon_Tz_bsm. apply NNPP. zenon_intro zenon_H485.
% 16.43/16.63  apply (zenon_notimply_s _ _ zenon_H485). zenon_intro zenon_H487. zenon_intro zenon_H486.
% 16.43/16.63  apply (zenon_notimply_s _ _ zenon_H486). zenon_intro zenon_H489. zenon_intro zenon_H488.
% 16.43/16.63  generalize (ax1_1128 zenon_Tx_bsi). zenon_intro zenon_H48a.
% 16.43/16.63  generalize (zenon_H48a zenon_Ty_bsk). zenon_intro zenon_H48b.
% 16.43/16.63  generalize (zenon_H48b zenon_Tz_bsm). zenon_intro zenon_H48c.
% 16.43/16.63  apply (zenon_imply_s _ _ zenon_H48c); [ zenon_intro zenon_H48e | zenon_intro zenon_H48d ].
% 16.43/16.63  apply (zenon_notand_s _ _ zenon_H48e); [ zenon_intro zenon_H490 | zenon_intro zenon_H48f ].
% 16.43/16.63  exact (zenon_H490 zenon_H487).
% 16.43/16.63  exact (zenon_H48f zenon_H489).
% 16.43/16.63  exact (zenon_H488 zenon_H48d).
% 16.43/16.63  Qed.
% 16.43/16.63  % SZS output end Proof
% 16.43/16.63  (* END-PROOF *)
% 16.43/16.63  nodes searched: 598137
% 16.43/16.63  max branch formulas: 305664
% 16.43/16.63  proof nodes created: 333
% 16.43/16.63  formulas created: 4433832
% 16.43/16.63  
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