TSTP Solution File: SWB014+2 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SWB014+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n025.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 : Tue Jul 19 19:26:47 EDT 2022

% Result   : Theorem 4.46s 4.65s
% Output   : Proof 4.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWB014+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n025.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 : Wed Jun  1 08:48:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 4.46/4.65  (* PROOF-FOUND *)
% 4.46/4.65  % SZS status Theorem
% 4.46/4.65  (* BEGIN-PROOF *)
% 4.46/4.65  % SZS output start Proof
% 4.46/4.65  Theorem testcase_conclusion_fullish_014_Harry_belongs_to_some_Species : (exists BNODE_x : zenon_U, ((iext (uri_rdf_type) (uri_ex_harry) BNODE_x)/\(iext (uri_rdf_type) BNODE_x (uri_ex_Species)))).
% 4.46/4.65  Proof.
% 4.46/4.65  assert (zenon_L1_ : forall (zenon_TBNODE_u_h : zenon_U), (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_harry) C)<->(icext C (uri_ex_harry)))) -> (iext (uri_rdf_type) (uri_ex_harry) zenon_TBNODE_u_h) -> (~(icext zenon_TBNODE_u_h (uri_ex_harry))) -> False).
% 4.46/4.65  do 1 intro. intros zenon_H4 zenon_H5 zenon_H6.
% 4.46/4.65  generalize (zenon_H4 zenon_TBNODE_u_h). zenon_intro zenon_H8.
% 4.46/4.65  apply (zenon_equiv_s _ _ zenon_H8); [ zenon_intro zenon_Ha; zenon_intro zenon_H6 | zenon_intro zenon_H5; zenon_intro zenon_H9 ].
% 4.46/4.65  exact (zenon_Ha zenon_H5).
% 4.46/4.65  exact (zenon_H6 zenon_H9).
% 4.46/4.65  (* end of lemma zenon_L1_ *)
% 4.46/4.65  assert (zenon_L2_ : ((icext (uri_ex_Eagle) (uri_ex_harry))\/(icext (uri_ex_Falcon) (uri_ex_harry))) -> (~(icext (uri_ex_Falcon) (uri_ex_harry))) -> (~(icext (uri_ex_Eagle) (uri_ex_harry))) -> False).
% 4.46/4.65  do 0 intro. intros zenon_Hb zenon_Hc zenon_Hd.
% 4.46/4.65  apply (zenon_or_s _ _ zenon_Hb); [ zenon_intro zenon_Hf | zenon_intro zenon_He ].
% 4.46/4.65  exact (zenon_Hd zenon_Hf).
% 4.46/4.65  exact (zenon_Hc zenon_He).
% 4.46/4.65  (* end of lemma zenon_L2_ *)
% 4.46/4.65  apply NNPP. intro zenon_G.
% 4.46/4.65  elim testcase_premise_fullish_014_Harry_belongs_to_some_Species. zenon_intro zenon_TBNODE_u_h. zenon_intro zenon_H10.
% 4.46/4.65  elim zenon_H10. zenon_intro zenon_TBNODE_l1_r. zenon_intro zenon_H12.
% 4.46/4.65  elim zenon_H12. zenon_intro zenon_TBNODE_l2_t. zenon_intro zenon_H14.
% 4.46/4.65  apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 4.46/4.65  apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 4.46/4.65  apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H5. zenon_intro zenon_H19.
% 4.46/4.65  apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 4.46/4.65  apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 4.46/4.65  apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 4.46/4.65  apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 4.46/4.65  apply zenon_G. exists (uri_ex_Falcon). apply NNPP. zenon_intro zenon_H22.
% 4.46/4.65  apply (zenon_notand_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 4.46/4.65  apply zenon_G. exists (uri_ex_Eagle). apply NNPP. zenon_intro zenon_H25.
% 4.46/4.65  apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 4.46/4.65  generalize (rdfs_cext_def (uri_ex_harry)). zenon_intro zenon_H4.
% 4.46/4.65  generalize (zenon_H4 (uri_ex_Falcon)). zenon_intro zenon_H28.
% 4.46/4.65  apply (zenon_equiv_s _ _ zenon_H28); [ zenon_intro zenon_H24; zenon_intro zenon_Hc | zenon_intro zenon_H29; zenon_intro zenon_He ].
% 4.46/4.65  generalize (zenon_H4 (uri_ex_Eagle)). zenon_intro zenon_H2a.
% 4.46/4.65  apply (zenon_equiv_s _ _ zenon_H2a); [ zenon_intro zenon_H27; zenon_intro zenon_Hd | zenon_intro zenon_H2b; zenon_intro zenon_Hf ].
% 4.46/4.65  generalize (owl_bool_unionof_class_002 zenon_TBNODE_u_h). zenon_intro zenon_H2c.
% 4.46/4.65  generalize (zenon_H2c zenon_TBNODE_l1_r). zenon_intro zenon_H2d.
% 4.46/4.65  generalize (zenon_H2d (uri_ex_Eagle)). zenon_intro zenon_H2e.
% 4.46/4.65  generalize (zenon_H2e zenon_TBNODE_l2_t). zenon_intro zenon_H2f.
% 4.46/4.65  generalize (zenon_H2f (uri_ex_Falcon)). zenon_intro zenon_H30.
% 4.46/4.65  apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 4.46/4.65  apply (zenon_notand_s _ _ zenon_H32); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ].
% 4.46/4.65  exact (zenon_H34 zenon_H1d).
% 4.46/4.65  apply (zenon_notand_s _ _ zenon_H33); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ].
% 4.46/4.65  exact (zenon_H36 zenon_H1f).
% 4.46/4.65  apply (zenon_notand_s _ _ zenon_H35); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 4.46/4.65  exact (zenon_H38 zenon_H21).
% 4.46/4.65  exact (zenon_H37 zenon_H20).
% 4.46/4.65  apply (zenon_equiv_s _ _ zenon_H31); [ zenon_intro zenon_H3b; zenon_intro zenon_H3a | zenon_intro zenon_H1b; zenon_intro zenon_H39 ].
% 4.46/4.65  exact (zenon_H3b zenon_H1b).
% 4.46/4.65  apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H3d. zenon_intro zenon_H3c.
% 4.46/4.65  apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H3e.
% 4.46/4.65  apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40.
% 4.46/4.65  generalize (zenon_H40 (uri_ex_harry)). zenon_intro zenon_H42.
% 4.46/4.65  apply (zenon_equiv_s _ _ zenon_H42); [ zenon_intro zenon_H6; zenon_intro zenon_H43 | zenon_intro zenon_H9; zenon_intro zenon_Hb ].
% 4.46/4.65  apply (zenon_L1_ zenon_TBNODE_u_h); trivial.
% 4.46/4.65  apply (zenon_L2_); trivial.
% 4.46/4.65  exact (zenon_H27 zenon_H2b).
% 4.46/4.65  exact (zenon_H24 zenon_H29).
% 4.46/4.65  exact (zenon_H26 zenon_H16).
% 4.46/4.65  exact (zenon_H23 zenon_H18).
% 4.46/4.65  Qed.
% 4.46/4.65  % SZS output end Proof
% 4.46/4.65  (* END-PROOF *)
% 4.46/4.65  nodes searched: 444932
% 4.46/4.65  max branch formulas: 7866
% 4.46/4.65  proof nodes created: 5884
% 4.46/4.65  formulas created: 677177
% 4.46/4.65  
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