TSTP Solution File: SWB008+2 by Zenon---0.7.1

View Problem - Process Solution

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% File     : Zenon---0.7.1
% Problem  : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n026.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 19:26:46 EDT 2022

% Result   : Theorem 0.37s 0.54s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  1 02:47:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.37/0.54  (* PROOF-FOUND *)
% 0.37/0.54  % SZS status Theorem
% 0.37/0.54  (* BEGIN-PROOF *)
% 0.37/0.54  % SZS output start Proof
% 0.37/0.54  Theorem testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties : (iext (uri_owl_sameAs) (uri_ex_bob) (uri_ex_robert)).
% 0.37/0.54  Proof.
% 0.37/0.54  assert (zenon_L1_ : (~(iext (uri_owl_sameAs) (uri_ex_bob) (uri_ex_robert))) -> ((uri_ex_robert) = (uri_ex_bob)) -> False).
% 0.37/0.54  do 0 intro. intros zenon_G zenon_H5.
% 0.37/0.54  generalize (owl_eqdis_sameas (uri_ex_bob)). zenon_intro zenon_H6.
% 0.37/0.54  generalize (zenon_H6 (uri_ex_robert)). zenon_intro zenon_H7.
% 0.37/0.54  apply (zenon_equiv_s _ _ zenon_H7); [ zenon_intro zenon_G; zenon_intro zenon_Ha | zenon_intro zenon_H9; zenon_intro zenon_H8 ].
% 0.37/0.54  apply zenon_Ha. apply sym_equal. exact zenon_H5.
% 0.37/0.54  exact (zenon_G zenon_H9).
% 0.37/0.54  (* end of lemma zenon_L1_ *)
% 0.37/0.54  apply NNPP. intro zenon_G.
% 0.37/0.54  apply (zenon_and_s _ _ testcase_premise_fullish_008_Inverse_Functional_Data_Properties). zenon_intro zenon_Hc. zenon_intro zenon_Hb.
% 0.37/0.54  apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.37/0.54  apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.37/0.54  generalize (owl_char_inversefunctional (uri_foaf_mbox_sha1sum)). zenon_intro zenon_H11.
% 0.37/0.54  apply (zenon_equiv_s _ _ zenon_H11); [ zenon_intro zenon_H15; zenon_intro zenon_H14 | zenon_intro zenon_H13; zenon_intro zenon_H12 ].
% 0.37/0.54  generalize (rdfs_cext_def (uri_foaf_mbox_sha1sum)). zenon_intro zenon_H16.
% 0.37/0.54  generalize (zenon_H16 (uri_owl_InverseFunctionalProperty)). zenon_intro zenon_H17.
% 0.37/0.54  apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_H18; zenon_intro zenon_H15 | zenon_intro zenon_He; zenon_intro zenon_H13 ].
% 0.37/0.54  exact (zenon_H18 zenon_He).
% 0.37/0.54  exact (zenon_H15 zenon_H13).
% 0.37/0.54  apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.37/0.54  generalize (zenon_H19 (uri_ex_robert)). zenon_intro zenon_H1b.
% 0.37/0.54  generalize (zenon_H1b (uri_ex_bob)). zenon_intro zenon_H1c.
% 0.37/0.54  generalize (zenon_H1c (literal_plain (dat_str_xyz))). zenon_intro zenon_H1d.
% 0.37/0.54  apply (zenon_imply_s _ _ zenon_H1d); [ zenon_intro zenon_H1e | zenon_intro zenon_H5 ].
% 0.37/0.54  apply (zenon_notand_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ].
% 0.37/0.54  exact (zenon_H20 zenon_Hf).
% 0.37/0.54  exact (zenon_H1f zenon_H10).
% 0.37/0.54  apply (zenon_L1_); trivial.
% 0.37/0.54  Qed.
% 0.37/0.54  % SZS output end Proof
% 0.37/0.54  (* END-PROOF *)
% 0.37/0.54  nodes searched: 931
% 0.37/0.54  max branch formulas: 348
% 0.37/0.54  proof nodes created: 75
% 0.37/0.54  formulas created: 3392
% 0.37/0.54  
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