TSTP Solution File: SWB007+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWB007+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n032.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 19:26:45 EDT 2022
% Result : Theorem 0.11s 0.37s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWB007+2 : TPTP v8.1.0. Released v5.2.0.
% 0.00/0.08 % Command : run_zenon %s %d
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Wed Jun 1 02:58:14 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.37 (* PROOF-FOUND *)
% 0.11/0.37 % SZS status Theorem
% 0.11/0.37 (* BEGIN-PROOF *)
% 0.11/0.37 % SZS output start Proof
% 0.11/0.37 Theorem testcase_conclusion_fullish_007_Equal_Classes : ((iext (uri_rdf_type) (uri_ex_w) (uri_ex_c2))/\((iext (uri_rdfs_subClassOf) (uri_ex_c) (uri_ex_c2))/\(iext (uri_rdfs_range) (uri_ex_p) (uri_ex_c2)))).
% 0.11/0.37 Proof.
% 0.11/0.37 assert (zenon_L1_ : (~((uri_ex_c1) = (uri_ex_c2))) -> (iext (uri_owl_sameAs) (uri_ex_c1) (uri_ex_c2)) -> False).
% 0.11/0.37 do 0 intro. intros zenon_H3 zenon_H4.
% 0.11/0.37 generalize (owl_eqdis_sameas (uri_ex_c1)). zenon_intro zenon_H5.
% 0.11/0.37 generalize (zenon_H5 (uri_ex_c2)). zenon_intro zenon_H6.
% 0.11/0.37 apply (zenon_equiv_s _ _ zenon_H6); [ zenon_intro zenon_H8; zenon_intro zenon_H3 | zenon_intro zenon_H4; zenon_intro zenon_H7 ].
% 0.11/0.37 exact (zenon_H8 zenon_H4).
% 0.11/0.37 exact (zenon_H3 zenon_H7).
% 0.11/0.37 (* end of lemma zenon_L1_ *)
% 0.11/0.37 apply NNPP. intro zenon_G.
% 0.11/0.37 apply (zenon_and_s _ _ testcase_premise_fullish_007_Equal_Classes). zenon_intro zenon_H4. zenon_intro zenon_H9.
% 0.11/0.37 apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.11/0.37 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.11/0.37 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_Hf | zenon_intro zenon_He ].
% 0.11/0.37 cut ((iext (uri_rdf_type) (uri_ex_w) (uri_ex_c1)) = (iext (uri_rdf_type) (uri_ex_w) (uri_ex_c2))).
% 0.11/0.37 intro zenon_D_pnotp.
% 0.11/0.37 apply zenon_Hf.
% 0.11/0.37 rewrite <- zenon_D_pnotp.
% 0.11/0.37 exact zenon_Hb.
% 0.11/0.37 cut (((uri_ex_c1) = (uri_ex_c2))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 0.11/0.37 cut (((uri_ex_w) = (uri_ex_w))); [idtac | apply NNPP; zenon_intro zenon_H10].
% 0.11/0.37 cut (((uri_rdf_type) = (uri_rdf_type))); [idtac | apply NNPP; zenon_intro zenon_H11].
% 0.11/0.37 congruence.
% 0.11/0.37 apply zenon_H11. apply refl_equal.
% 0.11/0.37 apply zenon_H10. apply refl_equal.
% 0.11/0.37 apply (zenon_L1_); trivial.
% 0.11/0.37 apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ].
% 0.11/0.37 cut ((iext (uri_rdfs_subClassOf) (uri_ex_c) (uri_ex_c1)) = (iext (uri_rdfs_subClassOf) (uri_ex_c) (uri_ex_c2))).
% 0.11/0.37 intro zenon_D_pnotp.
% 0.11/0.37 apply zenon_H13.
% 0.11/0.37 rewrite <- zenon_D_pnotp.
% 0.11/0.37 exact zenon_Hd.
% 0.11/0.37 cut (((uri_ex_c1) = (uri_ex_c2))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 0.11/0.37 cut (((uri_ex_c) = (uri_ex_c))); [idtac | apply NNPP; zenon_intro zenon_H14].
% 0.11/0.37 cut (((uri_rdfs_subClassOf) = (uri_rdfs_subClassOf))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 0.11/0.37 congruence.
% 0.11/0.37 apply zenon_H15. apply refl_equal.
% 0.11/0.37 apply zenon_H14. apply refl_equal.
% 0.11/0.37 apply (zenon_L1_); trivial.
% 0.11/0.37 cut ((iext (uri_rdfs_range) (uri_ex_p) (uri_ex_c1)) = (iext (uri_rdfs_range) (uri_ex_p) (uri_ex_c2))).
% 0.11/0.37 intro zenon_D_pnotp.
% 0.11/0.37 apply zenon_H12.
% 0.11/0.37 rewrite <- zenon_D_pnotp.
% 0.11/0.37 exact zenon_Hc.
% 0.11/0.37 cut (((uri_ex_c1) = (uri_ex_c2))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 0.11/0.37 cut (((uri_ex_p) = (uri_ex_p))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 0.11/0.37 cut (((uri_rdfs_range) = (uri_rdfs_range))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 0.11/0.37 congruence.
% 0.11/0.37 apply zenon_H17. apply refl_equal.
% 0.11/0.37 apply zenon_H16. apply refl_equal.
% 0.11/0.37 apply (zenon_L1_); trivial.
% 0.11/0.37 Qed.
% 0.11/0.37 % SZS output end Proof
% 0.11/0.37 (* END-PROOF *)
% 0.11/0.37 nodes searched: 77
% 0.11/0.37 max branch formulas: 40
% 0.11/0.37 proof nodes created: 23
% 0.11/0.37 formulas created: 353
% 0.11/0.37
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