TSTP Solution File: SWB030+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWB030+2 : TPTP v8.1.0. Released v5.2.0.
% 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 : Tue Jul 19 19:26:52 EDT 2022
% Result : Unsatisfiable 1.02s 1.21s
% Output : Proof 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB030+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 04:47:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.02/1.21 (* PROOF-FOUND *)
% 1.02/1.21 % SZS status Unsatisfiable
% 1.02/1.21 (* BEGIN-PROOF *)
% 1.02/1.21 % SZS output start Proof
% 1.02/1.21 Theorem zenon_thm : False.
% 1.02/1.21 Proof.
% 1.02/1.21 assert (zenon_L1_ : forall (zenon_TBNODE_x_h : zenon_U), (forall X : zenon_U, ((icext zenon_TBNODE_x_h X)<->(iext (uri_rdf_type) X X))) -> (icext zenon_TBNODE_x_h (uri_ex_c)) -> (~(iext (uri_rdf_type) (uri_ex_c) (uri_ex_c))) -> False).
% 1.02/1.21 do 1 intro. intros zenon_H4 zenon_H5 zenon_H6.
% 1.02/1.21 generalize (zenon_H4 (uri_ex_c)). zenon_intro zenon_H8.
% 1.02/1.21 apply (zenon_equiv_s _ _ zenon_H8); [ zenon_intro zenon_Ha; zenon_intro zenon_H6 | zenon_intro zenon_H5; zenon_intro zenon_H9 ].
% 1.02/1.21 exact (zenon_Ha zenon_H5).
% 1.02/1.21 exact (zenon_H6 zenon_H9).
% 1.02/1.21 (* end of lemma zenon_L1_ *)
% 1.02/1.21 assert (zenon_L2_ : forall (zenon_TBNODE_x_h : zenon_U), (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_c) C)<->(icext C (uri_ex_c)))) -> (forall P : zenon_U, (forall V : zenon_U, (((iext (uri_owl_hasSelf) zenon_TBNODE_x_h V)/\(iext (uri_owl_onProperty) zenon_TBNODE_x_h P))->(forall X : zenon_U, ((icext zenon_TBNODE_x_h X)<->(iext P X X)))))) -> (icext zenon_TBNODE_x_h (uri_ex_c)) -> (iext (uri_owl_onProperty) zenon_TBNODE_x_h (uri_rdf_type)) -> (iext (uri_owl_hasSelf) zenon_TBNODE_x_h (literal_typed (dat_str_true) (uri_xsd_boolean))) -> (~(icext (uri_ex_c) (uri_ex_c))) -> False).
% 1.02/1.21 do 1 intro. intros zenon_Hb zenon_Hc zenon_H5 zenon_Hd zenon_He zenon_Hf.
% 1.02/1.21 generalize (zenon_Hb (uri_ex_c)). zenon_intro zenon_H10.
% 1.02/1.21 apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_H6; zenon_intro zenon_Hf | zenon_intro zenon_H9; zenon_intro zenon_H11 ].
% 1.02/1.21 generalize (zenon_Hc (uri_rdf_type)). zenon_intro zenon_H12.
% 1.02/1.21 generalize (zenon_H12 (literal_typed (dat_str_true) (uri_xsd_boolean))). zenon_intro zenon_H13.
% 1.02/1.21 apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H14 | zenon_intro zenon_H4 ].
% 1.02/1.21 apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ].
% 1.02/1.21 exact (zenon_H16 zenon_He).
% 1.02/1.21 exact (zenon_H15 zenon_Hd).
% 1.02/1.21 apply (zenon_L1_ zenon_TBNODE_x_h); trivial.
% 1.02/1.21 exact (zenon_Hf zenon_H11).
% 1.02/1.21 (* end of lemma zenon_L2_ *)
% 1.02/1.21 assert (zenon_L3_ : forall (zenon_TBNODE_x_h : zenon_U), (~(~(icext zenon_TBNODE_x_h (uri_ex_c)))) -> (~(icext zenon_TBNODE_x_h (uri_ex_c))) -> False).
% 1.02/1.21 do 1 intro. intros zenon_H17 zenon_Ha.
% 1.02/1.21 exact (zenon_H17 zenon_Ha).
% 1.02/1.21 (* end of lemma zenon_L3_ *)
% 1.02/1.21 assert (zenon_L4_ : forall (zenon_TBNODE_x_h : zenon_U), (forall X : zenon_U, ((icext zenon_TBNODE_x_h X)<->(iext (uri_rdf_type) X X))) -> (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_c) C)<->(icext C (uri_ex_c)))) -> (icext (uri_ex_c) (uri_ex_c)) -> (~(icext zenon_TBNODE_x_h (uri_ex_c))) -> False).
% 1.02/1.21 do 1 intro. intros zenon_H4 zenon_Hb zenon_H11 zenon_Ha.
% 1.02/1.21 generalize (zenon_H4 (uri_ex_c)). zenon_intro zenon_H8.
% 1.02/1.21 apply (zenon_equiv_s _ _ zenon_H8); [ zenon_intro zenon_Ha; zenon_intro zenon_H6 | zenon_intro zenon_H5; zenon_intro zenon_H9 ].
% 1.02/1.21 generalize (zenon_Hb (uri_ex_c)). zenon_intro zenon_H10.
% 1.02/1.21 apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_H6; zenon_intro zenon_Hf | zenon_intro zenon_H9; zenon_intro zenon_H11 ].
% 1.02/1.21 exact (zenon_Hf zenon_H11).
% 1.02/1.21 exact (zenon_H6 zenon_H9).
% 1.02/1.21 exact (zenon_Ha zenon_H5).
% 1.02/1.21 (* end of lemma zenon_L4_ *)
% 1.02/1.21 assert (zenon_L5_ : forall (zenon_TBNODE_x_h : zenon_U), (forall V : zenon_U, (((iext (uri_owl_hasSelf) zenon_TBNODE_x_h V)/\(iext (uri_owl_onProperty) zenon_TBNODE_x_h (uri_rdf_type)))->(forall X : zenon_U, ((icext zenon_TBNODE_x_h X)<->(iext (uri_rdf_type) X X))))) -> (iext (uri_owl_hasSelf) zenon_TBNODE_x_h (literal_typed (dat_str_true) (uri_xsd_boolean))) -> (iext (uri_owl_onProperty) zenon_TBNODE_x_h (uri_rdf_type)) -> (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_c) C)<->(icext C (uri_ex_c)))) -> (icext (uri_ex_c) (uri_ex_c)) -> (~(icext zenon_TBNODE_x_h (uri_ex_c))) -> False).
% 1.02/1.21 do 1 intro. intros zenon_H12 zenon_He zenon_Hd zenon_Hb zenon_H11 zenon_Ha.
% 1.02/1.21 generalize (zenon_H12 (literal_typed (dat_str_true) (uri_xsd_boolean))). zenon_intro zenon_H13.
% 1.02/1.21 apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H14 | zenon_intro zenon_H4 ].
% 1.02/1.21 apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ].
% 1.02/1.21 exact (zenon_H16 zenon_He).
% 1.02/1.21 exact (zenon_H15 zenon_Hd).
% 1.02/1.21 apply (zenon_L4_ zenon_TBNODE_x_h); trivial.
% 1.02/1.21 (* end of lemma zenon_L5_ *)
% 1.02/1.21 assert (zenon_L6_ : forall (zenon_TBNODE_x_h : zenon_U), (forall P : zenon_U, (forall V : zenon_U, (((iext (uri_owl_hasSelf) zenon_TBNODE_x_h V)/\(iext (uri_owl_onProperty) zenon_TBNODE_x_h P))->(forall X : zenon_U, ((icext zenon_TBNODE_x_h X)<->(iext P X X)))))) -> (~(icext zenon_TBNODE_x_h (uri_ex_c))) -> (icext (uri_ex_c) (uri_ex_c)) -> (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_c) C)<->(icext C (uri_ex_c)))) -> (iext (uri_owl_onProperty) zenon_TBNODE_x_h (uri_rdf_type)) -> (iext (uri_owl_hasSelf) zenon_TBNODE_x_h (literal_typed (dat_str_true) (uri_xsd_boolean))) -> False).
% 1.02/1.21 do 1 intro. intros zenon_Hc zenon_Ha zenon_H11 zenon_Hb zenon_Hd zenon_He.
% 1.02/1.21 generalize (zenon_Hc (uri_rdf_type)). zenon_intro zenon_H12.
% 1.02/1.21 apply (zenon_L5_ zenon_TBNODE_x_h); trivial.
% 1.02/1.21 (* end of lemma zenon_L6_ *)
% 1.02/1.21 assert (zenon_L7_ : forall (zenon_TBNODE_x_h : zenon_U), (~(icext zenon_TBNODE_x_h (uri_ex_c))) -> (icext (uri_ex_c) (uri_ex_c)) -> (iext (uri_owl_onProperty) zenon_TBNODE_x_h (uri_rdf_type)) -> (iext (uri_owl_hasSelf) zenon_TBNODE_x_h (literal_typed (dat_str_true) (uri_xsd_boolean))) -> False).
% 1.02/1.21 do 1 intro. intros zenon_Ha zenon_H11 zenon_Hd zenon_He.
% 1.02/1.21 generalize (owl_restrict_hasself zenon_TBNODE_x_h). zenon_intro zenon_Hc.
% 1.02/1.21 generalize (rdfs_cext_def (uri_ex_c)). zenon_intro zenon_Hb.
% 1.02/1.21 apply (zenon_L6_ zenon_TBNODE_x_h); trivial.
% 1.02/1.21 (* end of lemma zenon_L7_ *)
% 1.02/1.21 assert (zenon_L8_ : forall (zenon_TBNODE_x_h : zenon_U), ((icext (uri_ex_c) (uri_ex_c))<->(~(icext zenon_TBNODE_x_h (uri_ex_c)))) -> (iext (uri_owl_hasSelf) zenon_TBNODE_x_h (literal_typed (dat_str_true) (uri_xsd_boolean))) -> (iext (uri_owl_onProperty) zenon_TBNODE_x_h (uri_rdf_type)) -> (~(icext zenon_TBNODE_x_h (uri_ex_c))) -> False).
% 1.02/1.21 do 1 intro. intros zenon_H18 zenon_He zenon_Hd zenon_Ha.
% 1.02/1.21 apply (zenon_equiv_s _ _ zenon_H18); [ zenon_intro zenon_Hf; zenon_intro zenon_H17 | zenon_intro zenon_H11; zenon_intro zenon_Ha ].
% 1.02/1.21 exact (zenon_H17 zenon_Ha).
% 1.02/1.21 apply (zenon_L7_ zenon_TBNODE_x_h); trivial.
% 1.02/1.21 (* end of lemma zenon_L8_ *)
% 1.02/1.21 elim testcase_premise_fullish_030_Bad_Class. zenon_intro zenon_TBNODE_x_h. zenon_intro zenon_H19.
% 1.02/1.21 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 1.02/1.21 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 1.02/1.21 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 1.02/1.21 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_Hd. zenon_intro zenon_He.
% 1.02/1.21 generalize (owl_restrict_hasself zenon_TBNODE_x_h). zenon_intro zenon_Hc.
% 1.02/1.21 generalize (owl_bool_complementof_class (uri_ex_c)). zenon_intro zenon_H20.
% 1.02/1.21 generalize (zenon_H20 zenon_TBNODE_x_h). zenon_intro zenon_H21.
% 1.02/1.21 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 1.02/1.21 exact (zenon_H23 zenon_H1d).
% 1.02/1.21 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 1.02/1.21 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26.
% 1.02/1.21 generalize (rdfs_cext_def (uri_ex_c)). zenon_intro zenon_Hb.
% 1.02/1.21 generalize (zenon_H26 (uri_ex_c)). zenon_intro zenon_H18.
% 1.02/1.21 apply (zenon_equiv_s _ _ zenon_H18); [ zenon_intro zenon_Hf; zenon_intro zenon_H17 | zenon_intro zenon_H11; zenon_intro zenon_Ha ].
% 1.02/1.21 apply zenon_H17. zenon_intro zenon_H5.
% 1.02/1.21 apply (zenon_L2_ zenon_TBNODE_x_h); trivial.
% 1.02/1.21 apply (zenon_L8_ zenon_TBNODE_x_h); trivial.
% 1.02/1.21 Qed.
% 1.02/1.21 % SZS output end Proof
% 1.02/1.21 (* END-PROOF *)
% 1.02/1.21 nodes searched: 67311
% 1.02/1.21 max branch formulas: 1222
% 1.02/1.21 proof nodes created: 1979
% 1.02/1.21 formulas created: 64559
% 1.02/1.21
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