TSTP Solution File: CSR056+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : CSR056+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n019.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 00:02:17 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR056+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n019.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 : Thu Jun  9 21:56:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.50  (* PROOF-FOUND *)
% 0.19/0.50  % SZS status Theorem
% 0.19/0.50  (* BEGIN-PROOF *)
% 0.19/0.50  % SZS output start Proof
% 0.19/0.50  Theorem query56 : (exists QUANTITY : zenon_U, ((mtvisible (c_tptp_member3717_mt))->(tptpofobject (c_tptpartsupplies) QUANTITY))).
% 0.19/0.50  Proof.
% 0.19/0.50  apply NNPP. intro zenon_G.
% 0.19/0.50  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_H3a | zenon_intro zenon_H3b ].
% 0.19/0.50  apply (zenon_imply_s _ _ just12); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ].
% 0.19/0.50  apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H3e.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H3f.
% 0.19/0.50  generalize (just47 (c_tptp_member3717_mt)). zenon_intro zenon_H41.
% 0.19/0.50  generalize (zenon_H41 (c_cyclistsmt)). zenon_intro zenon_H42.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ].
% 0.19/0.50  apply (zenon_notand_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ].
% 0.19/0.50  exact (zenon_H46 zenon_H40).
% 0.19/0.50  elim (classic ((~((c_tptp_member3717_mt) = (c_tptp_spindleheadmt)))/\(~(genlmt (c_tptp_member3717_mt) (c_tptp_spindleheadmt))))); [ zenon_intro zenon_H47 | zenon_intro zenon_H48 ].
% 0.19/0.50  apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H4a. zenon_intro zenon_H49.
% 0.19/0.50  exact (zenon_H49 just9).
% 0.19/0.50  cut ((genlmt (c_tptp_spindleheadmt) (c_cyclistsmt)) = (genlmt (c_tptp_member3717_mt) (c_cyclistsmt))).
% 0.19/0.50  intro zenon_D_pnotp.
% 0.19/0.50  apply zenon_H45.
% 0.19/0.50  rewrite <- zenon_D_pnotp.
% 0.19/0.50  exact just8.
% 0.19/0.50  cut (((c_cyclistsmt) = (c_cyclistsmt))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 0.19/0.50  cut (((c_tptp_spindleheadmt) = (c_tptp_member3717_mt))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 0.19/0.50  congruence.
% 0.19/0.50  apply (zenon_notand_s _ _ zenon_H48); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 0.19/0.50  apply zenon_H4e. zenon_intro zenon_H4f.
% 0.19/0.50  elim (classic ((c_tptp_member3717_mt) = (c_tptp_member3717_mt))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 0.19/0.50  cut (((c_tptp_member3717_mt) = (c_tptp_member3717_mt)) = ((c_tptp_spindleheadmt) = (c_tptp_member3717_mt))).
% 0.19/0.50  intro zenon_D_pnotp.
% 0.19/0.50  apply zenon_H4c.
% 0.19/0.50  rewrite <- zenon_D_pnotp.
% 0.19/0.50  exact zenon_H50.
% 0.19/0.50  cut (((c_tptp_member3717_mt) = (c_tptp_member3717_mt))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 0.19/0.50  cut (((c_tptp_member3717_mt) = (c_tptp_spindleheadmt))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 0.19/0.50  congruence.
% 0.19/0.50  exact (zenon_H4a zenon_H4f).
% 0.19/0.50  apply zenon_H51. apply refl_equal.
% 0.19/0.50  apply zenon_H51. apply refl_equal.
% 0.19/0.50  apply zenon_H4d. zenon_intro just9.
% 0.19/0.50  generalize (zenon_H3a (c_tptp_member3717_mt)). zenon_intro zenon_H52.
% 0.19/0.50  generalize (zenon_H52 (c_tptp_spindleheadmt)). zenon_intro zenon_H53.
% 0.19/0.50  generalize (zenon_H53 (c_cyclistsmt)). zenon_intro zenon_H54.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_H54); [ zenon_intro zenon_H49 | zenon_intro zenon_H55 ].
% 0.19/0.50  exact (zenon_H49 just9).
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_H55); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ].
% 0.19/0.50  exact (zenon_H57 just8).
% 0.19/0.50  exact (zenon_H45 zenon_H56).
% 0.19/0.50  apply zenon_H4b. apply refl_equal.
% 0.19/0.50  exact (zenon_H3d zenon_H43).
% 0.19/0.50  apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H3e.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H3f.
% 0.19/0.50  apply zenon_G. exists (f_tptpquantityfn_14 (n_232)). apply NNPP. zenon_intro zenon_H58.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_H58). zenon_intro zenon_H40. zenon_intro zenon_H59.
% 0.19/0.50  generalize (just10 (c_tptpartsupplies)). zenon_intro zenon_H5a.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ].
% 0.19/0.50  apply (zenon_notand_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ].
% 0.19/0.50  generalize (just47 (c_tptp_member3717_mt)). zenon_intro zenon_H41.
% 0.19/0.50  generalize (zenon_H41 (c_tptp_spindleheadmt)). zenon_intro zenon_H5f.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_H5f); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ].
% 0.19/0.50  apply (zenon_notand_s _ _ zenon_H61); [ zenon_intro zenon_H46 | zenon_intro zenon_H49 ].
% 0.19/0.50  exact (zenon_H46 zenon_H40).
% 0.19/0.50  exact (zenon_H49 just9).
% 0.19/0.50  exact (zenon_H5e zenon_H60).
% 0.19/0.50  generalize (just2 (c_tptpartsupplies)). zenon_intro zenon_H62.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_H62); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ].
% 0.19/0.50  exact (zenon_H64 zenon_H3c).
% 0.19/0.50  exact (zenon_H5d zenon_H63).
% 0.19/0.50  exact (zenon_H59 zenon_H5b).
% 0.19/0.50  apply zenon_H3b. zenon_intro zenon_Tx_dx. apply NNPP. zenon_intro zenon_H66.
% 0.19/0.50  apply zenon_H66. zenon_intro zenon_Ty_dz. apply NNPP. zenon_intro zenon_H68.
% 0.19/0.50  apply zenon_H68. zenon_intro zenon_Tz_eb. apply NNPP. zenon_intro zenon_H6a.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_H6a). zenon_intro zenon_H6c. zenon_intro zenon_H6b.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_H6b). zenon_intro zenon_H6e. zenon_intro zenon_H6d.
% 0.19/0.50  generalize (just52 zenon_Tx_dx). zenon_intro zenon_H6f.
% 0.19/0.50  generalize (zenon_H6f zenon_Ty_dz). zenon_intro zenon_H70.
% 0.19/0.50  generalize (zenon_H70 zenon_Tz_eb). zenon_intro zenon_H71.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ].
% 0.19/0.50  apply (zenon_notand_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ].
% 0.19/0.50  exact (zenon_H75 zenon_H6c).
% 0.19/0.50  exact (zenon_H74 zenon_H6e).
% 0.19/0.50  exact (zenon_H6d zenon_H72).
% 0.19/0.50  Qed.
% 0.19/0.50  % SZS output end Proof
% 0.19/0.50  (* END-PROOF *)
% 0.19/0.50  nodes searched: 357
% 0.19/0.50  max branch formulas: 220
% 0.19/0.50  proof nodes created: 43
% 0.19/0.50  formulas created: 1597
% 0.19/0.50  
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