TSTP Solution File: SWB029+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWB029+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.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 : Theorem 0.62s 0.80s
% Output : Proof 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWB029+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : run_zenon %s %d
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Wed Jun 1 05:33:11 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.62/0.80 (* PROOF-FOUND *)
% 0.62/0.80 % SZS status Theorem
% 0.62/0.80 (* BEGIN-PROOF *)
% 0.62/0.80 % SZS output start Proof
% 0.62/0.80 Theorem testcase_conclusion_fullish_029_Ex_Falso_Quodlibet : False.
% 0.62/0.80 Proof.
% 0.62/0.80 assert (zenon_L1_ : forall (zenon_TBNODE_x_i : zenon_U), (forall C : zenon_U, ((iext (uri_rdf_type) (uri_ex_w) C)<->(icext C (uri_ex_w)))) -> (iext (uri_rdf_type) (uri_ex_w) zenon_TBNODE_x_i) -> (~(icext zenon_TBNODE_x_i (uri_ex_w))) -> False).
% 0.62/0.80 do 1 intro. intros zenon_H5 zenon_H6 zenon_H7.
% 0.62/0.80 generalize (zenon_H5 zenon_TBNODE_x_i). zenon_intro zenon_H9.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H9); [ zenon_intro zenon_Hb; zenon_intro zenon_H7 | zenon_intro zenon_H6; zenon_intro zenon_Ha ].
% 0.62/0.80 exact (zenon_Hb zenon_H6).
% 0.62/0.80 exact (zenon_H7 zenon_Ha).
% 0.62/0.80 (* end of lemma zenon_L1_ *)
% 0.62/0.80 assert (zenon_L2_ : forall (zenon_TBNODE_y_p : zenon_U), (forall X : zenon_U, ((icext zenon_TBNODE_y_p X)<->(~(icext (uri_ex_A) X)))) -> (icext zenon_TBNODE_y_p (uri_ex_w)) -> (icext (uri_ex_A) (uri_ex_w)) -> False).
% 0.62/0.80 do 1 intro. intros zenon_Hc zenon_Hd zenon_He.
% 0.62/0.80 generalize (zenon_Hc (uri_ex_w)). zenon_intro zenon_H10.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_H13; zenon_intro zenon_H12 | zenon_intro zenon_Hd; zenon_intro zenon_H11 ].
% 0.62/0.80 exact (zenon_H13 zenon_Hd).
% 0.62/0.80 exact (zenon_H11 zenon_He).
% 0.62/0.80 (* end of lemma zenon_L2_ *)
% 0.62/0.80 assert (zenon_L3_ : forall (zenon_TBNODE_y_p : zenon_U), (forall C : zenon_U, ((iext (uri_owl_complementOf) zenon_TBNODE_y_p C)->((ic zenon_TBNODE_y_p)/\((ic C)/\(forall X : zenon_U, ((icext zenon_TBNODE_y_p X)<->(~(icext C X)))))))) -> (iext (uri_owl_complementOf) zenon_TBNODE_y_p (uri_ex_A)) -> (icext (uri_ex_A) (uri_ex_w)) -> (icext zenon_TBNODE_y_p (uri_ex_w)) -> False).
% 0.62/0.80 do 1 intro. intros zenon_H14 zenon_H15 zenon_He zenon_Hd.
% 0.62/0.80 generalize (zenon_H14 (uri_ex_A)). zenon_intro zenon_H16.
% 0.62/0.80 apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 0.62/0.80 exact (zenon_H18 zenon_H15).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_Hc.
% 0.62/0.80 apply (zenon_L2_ zenon_TBNODE_y_p); trivial.
% 0.62/0.80 (* end of lemma zenon_L3_ *)
% 0.62/0.80 assert (zenon_L4_ : forall (zenon_TBNODE_y_p : zenon_U), (icext zenon_TBNODE_y_p (uri_ex_w)) -> (icext (uri_ex_A) (uri_ex_w)) -> (iext (uri_owl_complementOf) zenon_TBNODE_y_p (uri_ex_A)) -> False).
% 0.62/0.80 do 1 intro. intros zenon_Hd zenon_He zenon_H15.
% 0.62/0.80 generalize (owl_bool_complementof_class zenon_TBNODE_y_p). zenon_intro zenon_H14.
% 0.62/0.80 apply (zenon_L3_ zenon_TBNODE_y_p); trivial.
% 0.62/0.80 (* end of lemma zenon_L4_ *)
% 0.62/0.80 assert (zenon_L5_ : forall (zenon_TBNODE_y_p : zenon_U), ((icext (uri_ex_A) (uri_ex_w))/\(icext zenon_TBNODE_y_p (uri_ex_w))) -> (iext (uri_owl_complementOf) zenon_TBNODE_y_p (uri_ex_A)) -> (icext zenon_TBNODE_y_p (uri_ex_w)) -> False).
% 0.62/0.80 do 1 intro. intros zenon_H1c zenon_H15 zenon_Hd.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.62/0.80 apply (zenon_L4_ zenon_TBNODE_y_p); trivial.
% 0.62/0.80 (* end of lemma zenon_L5_ *)
% 0.62/0.80 assert (zenon_L6_ : forall (zenon_TBNODE_y_p : zenon_U), (iext (uri_owl_complementOf) zenon_TBNODE_y_p (uri_ex_A)) -> ((icext (uri_ex_A) (uri_ex_w))/\(icext zenon_TBNODE_y_p (uri_ex_w))) -> False).
% 0.62/0.80 do 1 intro. intros zenon_H15 zenon_H1c.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_He. zenon_intro zenon_Hd.
% 0.62/0.80 apply (zenon_L5_ zenon_TBNODE_y_p); trivial.
% 0.62/0.80 (* end of lemma zenon_L6_ *)
% 0.62/0.80 elim testcase_premise_fullish_029_Ex_Falso_Quodlibet. zenon_intro zenon_TBNODE_x_i. zenon_intro zenon_H1d.
% 0.62/0.80 elim zenon_H1d. zenon_intro zenon_TBNODE_y_p. zenon_intro zenon_H1e.
% 0.62/0.80 elim zenon_H1e. zenon_intro zenon_TBNODE_l1_bf. zenon_intro zenon_H20.
% 0.62/0.80 elim zenon_H20. zenon_intro zenon_TBNODE_l2_bh. zenon_intro zenon_H22.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H26. zenon_intro zenon_H25.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H6. zenon_intro zenon_H27.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H15.
% 0.62/0.80 generalize (rdfs_cext_def (uri_ex_w)). zenon_intro zenon_H5.
% 0.62/0.80 generalize (owl_bool_intersectionof_class_002 zenon_TBNODE_x_i). zenon_intro zenon_H31.
% 0.62/0.80 generalize (zenon_H31 zenon_TBNODE_l1_bf). zenon_intro zenon_H32.
% 0.62/0.80 generalize (zenon_H32 (uri_ex_A)). zenon_intro zenon_H33.
% 0.62/0.80 generalize (zenon_H33 zenon_TBNODE_l2_bh). zenon_intro zenon_H34.
% 0.62/0.80 generalize (zenon_H34 zenon_TBNODE_y_p). zenon_intro zenon_H35.
% 0.62/0.80 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ].
% 0.62/0.80 exact (zenon_H39 zenon_H2b).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H38); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 0.62/0.80 exact (zenon_H3b zenon_H2d).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ].
% 0.62/0.80 exact (zenon_H3d zenon_H2f).
% 0.62/0.80 exact (zenon_H3c zenon_H30).
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H36); [ zenon_intro zenon_H40; zenon_intro zenon_H3f | zenon_intro zenon_H29; zenon_intro zenon_H3e ].
% 0.62/0.80 exact (zenon_H40 zenon_H29).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H42. zenon_intro zenon_H41.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1b. zenon_intro zenon_H43.
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H1a. zenon_intro zenon_H44.
% 0.62/0.80 generalize (zenon_H44 (uri_ex_w)). zenon_intro zenon_H45.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H45); [ zenon_intro zenon_H7; zenon_intro zenon_H46 | zenon_intro zenon_Ha; zenon_intro zenon_H1c ].
% 0.62/0.80 apply (zenon_L1_ zenon_TBNODE_x_i); trivial.
% 0.62/0.80 apply (zenon_L6_ zenon_TBNODE_y_p); trivial.
% 0.62/0.80 Qed.
% 0.62/0.80 % SZS output end Proof
% 0.62/0.80 (* END-PROOF *)
% 0.62/0.80 nodes searched: 18188
% 0.62/0.80 max branch formulas: 1349
% 0.62/0.80 proof nodes created: 753
% 0.62/0.80 formulas created: 42527
% 0.62/0.80
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