TSTP Solution File: SWB006+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWB006+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n029.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 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB006+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n029.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 06:31:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.52 (* PROOF-FOUND *)
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 (* BEGIN-PROOF *)
% 0.20/0.52 % SZS output start Proof
% 0.20/0.52 Theorem testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes : (iext (uri_owl_sameAs) (uri_ex_u) (uri_ex_w)).
% 0.20/0.52 Proof.
% 0.20/0.52 assert (zenon_L1_ : (forall Y : zenon_U, ((iext (uri_owl_sameAs) (uri_ex_u) Y)<->((uri_ex_u) = Y))) -> (iext (uri_owl_sameAs) (uri_ex_u) (literal_plain (dat_str_abc))) -> (~((literal_plain (dat_str_abc)) = (uri_ex_u))) -> False).
% 0.20/0.52 do 0 intro. intros zenon_H3 zenon_H4 zenon_H5.
% 0.20/0.52 generalize (zenon_H3 (literal_plain (dat_str_abc))). zenon_intro zenon_H6.
% 0.20/0.52 apply (zenon_equiv_s _ _ zenon_H6); [ zenon_intro zenon_H9; zenon_intro zenon_H8 | zenon_intro zenon_H4; zenon_intro zenon_H7 ].
% 0.20/0.52 exact (zenon_H9 zenon_H4).
% 0.20/0.52 apply zenon_H5. apply sym_equal. exact zenon_H7.
% 0.20/0.52 (* end of lemma zenon_L1_ *)
% 0.20/0.52 assert (zenon_L2_ : forall (zenon_TBNODE_x_m : zenon_U), (zenon_TBNODE_x_m = (literal_plain (dat_str_abc))) -> (forall Y : zenon_U, ((iext (uri_owl_sameAs) (uri_ex_u) Y)<->((uri_ex_u) = Y))) -> (iext (uri_owl_sameAs) (uri_ex_u) (literal_plain (dat_str_abc))) -> (~((uri_ex_u) = zenon_TBNODE_x_m)) -> False).
% 0.20/0.52 do 1 intro. intros zenon_Ha zenon_H3 zenon_H4 zenon_Hb.
% 0.20/0.52 elim (classic (zenon_TBNODE_x_m = zenon_TBNODE_x_m)); [ zenon_intro zenon_Hd | zenon_intro zenon_He ].
% 0.20/0.52 cut ((zenon_TBNODE_x_m = zenon_TBNODE_x_m) = ((uri_ex_u) = zenon_TBNODE_x_m)).
% 0.20/0.52 intro zenon_D_pnotp.
% 0.20/0.52 apply zenon_Hb.
% 0.20/0.52 rewrite <- zenon_D_pnotp.
% 0.20/0.52 exact zenon_Hd.
% 0.20/0.52 cut ((zenon_TBNODE_x_m = zenon_TBNODE_x_m)); [idtac | apply NNPP; zenon_intro zenon_He].
% 0.20/0.52 cut ((zenon_TBNODE_x_m = (uri_ex_u))); [idtac | apply NNPP; zenon_intro zenon_Hf].
% 0.20/0.52 congruence.
% 0.20/0.52 cut ((zenon_TBNODE_x_m = (literal_plain (dat_str_abc))) = (zenon_TBNODE_x_m = (uri_ex_u))).
% 0.20/0.52 intro zenon_D_pnotp.
% 0.20/0.52 apply zenon_Hf.
% 0.20/0.52 rewrite <- zenon_D_pnotp.
% 0.20/0.52 exact zenon_Ha.
% 0.20/0.52 cut (((literal_plain (dat_str_abc)) = (uri_ex_u))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 0.20/0.52 cut ((zenon_TBNODE_x_m = zenon_TBNODE_x_m)); [idtac | apply NNPP; zenon_intro zenon_He].
% 0.20/0.52 congruence.
% 0.20/0.52 apply zenon_He. apply refl_equal.
% 0.20/0.52 apply (zenon_L1_); trivial.
% 0.20/0.52 apply zenon_He. apply refl_equal.
% 0.20/0.52 apply zenon_He. apply refl_equal.
% 0.20/0.52 (* end of lemma zenon_L2_ *)
% 0.20/0.52 assert (zenon_L3_ : (~((uri_ex_u) = (uri_ex_u))) -> False).
% 0.20/0.52 do 0 intro. intros zenon_H10.
% 0.20/0.52 apply zenon_H10. apply refl_equal.
% 0.20/0.52 (* end of lemma zenon_L3_ *)
% 0.20/0.52 apply NNPP. intro zenon_G.
% 0.20/0.52 elim testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes. zenon_intro zenon_TBNODE_x_m. zenon_intro zenon_H11.
% 0.20/0.52 apply (zenon_and_s _ _ zenon_H11). zenon_intro zenon_H4. zenon_intro zenon_H12.
% 0.20/0.52 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.20/0.52 generalize (owl_eqdis_sameas zenon_TBNODE_x_m). zenon_intro zenon_H15.
% 0.20/0.52 generalize (zenon_H15 (uri_ex_w)). zenon_intro zenon_H16.
% 0.20/0.52 apply (zenon_equiv_s _ _ zenon_H16); [ zenon_intro zenon_H19; zenon_intro zenon_H18 | zenon_intro zenon_H13; zenon_intro zenon_H17 ].
% 0.20/0.52 exact (zenon_H19 zenon_H13).
% 0.20/0.52 generalize (zenon_H15 (literal_plain (dat_str_abc))). zenon_intro zenon_H1a.
% 0.20/0.52 apply (zenon_equiv_s _ _ zenon_H1a); [ zenon_intro zenon_H1c; zenon_intro zenon_H1b | zenon_intro zenon_H14; zenon_intro zenon_Ha ].
% 0.20/0.52 exact (zenon_H1c zenon_H14).
% 0.20/0.52 generalize (owl_eqdis_sameas (uri_ex_u)). zenon_intro zenon_H3.
% 0.20/0.52 generalize (zenon_H3 zenon_TBNODE_x_m). zenon_intro zenon_H1d.
% 0.20/0.52 apply (zenon_equiv_s _ _ zenon_H1d); [ zenon_intro zenon_H20; zenon_intro zenon_Hb | zenon_intro zenon_H1f; zenon_intro zenon_H1e ].
% 0.20/0.52 apply (zenon_L2_ zenon_TBNODE_x_m); trivial.
% 0.20/0.52 generalize (zenon_H3 (uri_ex_w)). zenon_intro zenon_H21.
% 0.20/0.52 apply (zenon_equiv_s _ _ zenon_H21); [ zenon_intro zenon_G; zenon_intro zenon_H24 | zenon_intro zenon_H23; zenon_intro zenon_H22 ].
% 0.20/0.52 cut (((uri_ex_u) = zenon_TBNODE_x_m) = ((uri_ex_u) = (uri_ex_w))).
% 0.20/0.52 intro zenon_D_pnotp.
% 0.20/0.52 apply zenon_H24.
% 0.20/0.52 rewrite <- zenon_D_pnotp.
% 0.20/0.52 exact zenon_H1e.
% 0.20/0.52 cut ((zenon_TBNODE_x_m = (uri_ex_w))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 0.20/0.52 cut (((uri_ex_u) = (uri_ex_u))); [idtac | apply NNPP; zenon_intro zenon_H10].
% 0.20/0.52 congruence.
% 0.20/0.52 apply zenon_H10. apply refl_equal.
% 0.20/0.52 exact (zenon_H18 zenon_H17).
% 0.20/0.52 exact (zenon_G zenon_H23).
% 0.20/0.52 Qed.
% 0.20/0.52 % SZS output end Proof
% 0.20/0.52 (* END-PROOF *)
% 0.20/0.52 nodes searched: 929
% 0.20/0.52 max branch formulas: 100
% 0.20/0.52 proof nodes created: 202
% 0.20/0.52 formulas created: 1090
% 0.20/0.52
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