%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB006+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 : 300s
% DateTime : Sat Jun 21 05:29:30 AM UTC 2025
% Result : Theorem 0.18s 0.36s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWB006+2 : TPTP v9.0.0. Released v5.2.0.
% 0.11/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 07:42:35 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.18/0.36 % SZS status Theorem
% 0.18/0.36 % SZS output start Proof
% 0.18/0.36 tff(uri_ex_w_type, type, (
% 0.18/0.36 uri_ex_w: $i)).
% 0.18/0.36 tff(uri_ex_u_type, type, (
% 0.18/0.36 uri_ex_u: $i)).
% 0.18/0.36 tff(tptp_fun_BNODE_x_0_type, type, (
% 0.18/0.36 tptp_fun_BNODE_x_0: $i)).
% 0.18/0.36 tff(iext_type, type, (
% 0.18/0.36 iext: ( $i * $i * $i ) > $o)).
% 0.18/0.36 tff(uri_owl_sameAs_type, type, (
% 0.18/0.36 uri_owl_sameAs: $i)).
% 0.18/0.36 tff(literal_plain_type, type, (
% 0.18/0.36 literal_plain: $i > $i)).
% 0.18/0.36 tff(dat_str_abc_type, type, (
% 0.18/0.36 dat_str_abc: $i)).
% 0.18/0.36 tff(1,plain,
% 0.18/0.36 (^[X: $i, Y: $i] : refl((iext(uri_owl_sameAs, X, Y) <=> (X = Y)) <=> (iext(uri_owl_sameAs, X, Y) <=> (X = Y)))),
% 0.18/0.36 inference(bind,[status(th)],[])).
% 0.18/0.36 tff(2,plain,
% 0.18/0.36 (![X: $i, Y: $i] : (iext(uri_owl_sameAs, X, Y) <=> (X = Y)) <=> ![X: $i, Y: $i] : (iext(uri_owl_sameAs, X, Y) <=> (X = Y))),
% 0.18/0.36 inference(quant_intro,[status(thm)],[1])).
% 0.18/0.36 tff(3,plain,
% 0.18/0.36 (![X: $i, Y: $i] : (iext(uri_owl_sameAs, X, Y) <=> (X = Y)) <=> ![X: $i, Y: $i] : (iext(uri_owl_sameAs, X, Y) <=> (X = Y))),
% 0.18/0.36 inference(rewrite,[status(thm)],[])).
% 0.18/0.36 tff(4,axiom,(![X: $i, Y: $i] : (iext(uri_owl_sameAs, X, Y) <=> (X = Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','owl_eqdis_sameas')).
% 0.18/0.36 tff(5,plain,
% 0.18/0.36 (![X: $i, Y: $i] : (iext(uri_owl_sameAs, X, Y) <=> (X = Y))),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.18/0.36 tff(6,plain,(
% 0.18/0.36 ![X: $i, Y: $i] : (iext(uri_owl_sameAs, X, Y) <=> (X = Y))),
% 0.18/0.36 inference(skolemize,[status(sab)],[5])).
% 0.18/0.36 tff(7,plain,
% 0.18/0.36 (![X: $i, Y: $i] : (iext(uri_owl_sameAs, X, Y) <=> (X = Y))),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.18/0.36 tff(8,plain,
% 0.18/0.36 ((~![X: $i, Y: $i] : (iext(uri_owl_sameAs, X, Y) <=> (X = Y))) | (iext(uri_owl_sameAs, BNODE_x!0, uri_ex_w) <=> (BNODE_x!0 = uri_ex_w))),
% 0.18/0.36 inference(quant_inst,[status(thm)],[])).
% 0.18/0.36 tff(9,plain,
% 0.18/0.36 (iext(uri_owl_sameAs, BNODE_x!0, uri_ex_w) <=> (BNODE_x!0 = uri_ex_w)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.18/0.36 tff(10,plain,
% 0.18/0.36 (?[BNODE_x: $i] : (iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, uri_ex_w)) <=> ?[BNODE_x: $i] : (iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, uri_ex_w))),
% 0.18/0.36 inference(rewrite,[status(thm)],[])).
% 0.18/0.36 tff(11,plain,
% 0.18/0.36 (^[BNODE_x: $i] : rewrite(((iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, literal_plain(dat_str_abc))) & iext(uri_owl_sameAs, BNODE_x, uri_ex_w)) <=> (iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, uri_ex_w)))),
% 0.18/0.36 inference(bind,[status(th)],[])).
% 0.18/0.36 tff(12,plain,
% 0.18/0.36 (?[BNODE_x: $i] : ((iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, literal_plain(dat_str_abc))) & iext(uri_owl_sameAs, BNODE_x, uri_ex_w)) <=> ?[BNODE_x: $i] : (iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, uri_ex_w))),
% 0.18/0.36 inference(quant_intro,[status(thm)],[11])).
% 0.18/0.36 tff(13,axiom,(?[BNODE_x: $i] : ((iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, literal_plain(dat_str_abc))) & iext(uri_owl_sameAs, BNODE_x, uri_ex_w))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes')).
% 0.18/0.36 tff(14,plain,
% 0.18/0.36 (?[BNODE_x: $i] : (iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, uri_ex_w))),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.18/0.36 tff(15,plain,
% 0.18/0.36 (?[BNODE_x: $i] : (iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x, uri_ex_w))),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.18/0.36 tff(16,plain,(
% 0.18/0.36 iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x!0, literal_plain(dat_str_abc)) & iext(uri_owl_sameAs, BNODE_x!0, uri_ex_w)),
% 0.18/0.36 inference(skolemize,[status(sab)],[15])).
% 0.18/0.36 tff(17,plain,
% 0.18/0.36 (iext(uri_owl_sameAs, BNODE_x!0, uri_ex_w)),
% 0.18/0.36 inference(and_elim,[status(thm)],[16])).
% 0.18/0.36 tff(18,plain,
% 0.18/0.36 ((~(iext(uri_owl_sameAs, BNODE_x!0, uri_ex_w) <=> (BNODE_x!0 = uri_ex_w))) | (~iext(uri_owl_sameAs, BNODE_x!0, uri_ex_w)) | (BNODE_x!0 = uri_ex_w)),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(19,plain,
% 0.18/0.36 ((~(iext(uri_owl_sameAs, BNODE_x!0, uri_ex_w) <=> (BNODE_x!0 = uri_ex_w))) | (BNODE_x!0 = uri_ex_w)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[18, 17])).
% 0.18/0.36 tff(20,plain,
% 0.18/0.36 (BNODE_x!0 = uri_ex_w),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[19, 9])).
% 0.18/0.36 tff(21,plain,
% 0.18/0.36 ((~![X: $i, Y: $i] : (iext(uri_owl_sameAs, X, Y) <=> (X = Y))) | (iext(uri_owl_sameAs, BNODE_x!0, literal_plain(dat_str_abc)) <=> (BNODE_x!0 = literal_plain(dat_str_abc)))),
% 0.18/0.36 inference(quant_inst,[status(thm)],[])).
% 0.18/0.36 tff(22,plain,
% 0.18/0.36 (iext(uri_owl_sameAs, BNODE_x!0, literal_plain(dat_str_abc)) <=> (BNODE_x!0 = literal_plain(dat_str_abc))),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[21, 7])).
% 0.18/0.36 tff(23,plain,
% 0.18/0.36 (iext(uri_owl_sameAs, BNODE_x!0, literal_plain(dat_str_abc))),
% 0.18/0.36 inference(and_elim,[status(thm)],[16])).
% 0.18/0.36 tff(24,plain,
% 0.18/0.36 ((~(iext(uri_owl_sameAs, BNODE_x!0, literal_plain(dat_str_abc)) <=> (BNODE_x!0 = literal_plain(dat_str_abc)))) | (~iext(uri_owl_sameAs, BNODE_x!0, literal_plain(dat_str_abc))) | (BNODE_x!0 = literal_plain(dat_str_abc))),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(25,plain,
% 0.18/0.36 ((~(iext(uri_owl_sameAs, BNODE_x!0, literal_plain(dat_str_abc)) <=> (BNODE_x!0 = literal_plain(dat_str_abc)))) | (BNODE_x!0 = literal_plain(dat_str_abc))),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[24, 23])).
% 0.18/0.36 tff(26,plain,
% 0.18/0.36 (BNODE_x!0 = literal_plain(dat_str_abc)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[25, 22])).
% 0.18/0.36 tff(27,plain,
% 0.18/0.36 (literal_plain(dat_str_abc) = BNODE_x!0),
% 0.18/0.36 inference(symmetry,[status(thm)],[26])).
% 0.18/0.36 tff(28,plain,
% 0.18/0.36 ((~![X: $i, Y: $i] : (iext(uri_owl_sameAs, X, Y) <=> (X = Y))) | (iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) <=> (uri_ex_u = literal_plain(dat_str_abc)))),
% 0.18/0.36 inference(quant_inst,[status(thm)],[])).
% 0.18/0.36 tff(29,plain,
% 0.18/0.36 (iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) <=> (uri_ex_u = literal_plain(dat_str_abc))),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[28, 7])).
% 0.18/0.36 tff(30,plain,
% 0.18/0.36 (iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc))),
% 0.18/0.36 inference(and_elim,[status(thm)],[16])).
% 0.18/0.36 tff(31,plain,
% 0.18/0.36 ((~(iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) <=> (uri_ex_u = literal_plain(dat_str_abc)))) | (~iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc))) | (uri_ex_u = literal_plain(dat_str_abc))),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(32,plain,
% 0.18/0.36 ((~(iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) <=> (uri_ex_u = literal_plain(dat_str_abc)))) | (uri_ex_u = literal_plain(dat_str_abc))),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.18/0.36 tff(33,plain,
% 0.18/0.36 (uri_ex_u = literal_plain(dat_str_abc)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[32, 29])).
% 0.18/0.36 tff(34,plain,
% 0.18/0.36 (uri_ex_u = uri_ex_w),
% 0.18/0.36 inference(transitivity,[status(thm)],[33, 27, 20])).
% 0.18/0.36 tff(35,plain,
% 0.18/0.36 ((~![X: $i, Y: $i] : (iext(uri_owl_sameAs, X, Y) <=> (X = Y))) | (iext(uri_owl_sameAs, uri_ex_u, uri_ex_w) <=> (uri_ex_u = uri_ex_w))),
% 0.18/0.36 inference(quant_inst,[status(thm)],[])).
% 0.18/0.36 tff(36,plain,
% 0.18/0.36 (iext(uri_owl_sameAs, uri_ex_u, uri_ex_w) <=> (uri_ex_u = uri_ex_w)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[35, 7])).
% 0.18/0.36 tff(37,plain,
% 0.18/0.36 ((~iext(uri_owl_sameAs, uri_ex_u, uri_ex_w)) <=> (~iext(uri_owl_sameAs, uri_ex_u, uri_ex_w))),
% 0.18/0.36 inference(rewrite,[status(thm)],[])).
% 0.18/0.36 tff(38,axiom,(~iext(uri_owl_sameAs, uri_ex_u, uri_ex_w)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes')).
% 0.18/0.36 tff(39,plain,
% 0.18/0.36 (~iext(uri_owl_sameAs, uri_ex_u, uri_ex_w)),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.18/0.36 tff(40,plain,
% 0.18/0.36 ((~(iext(uri_owl_sameAs, uri_ex_u, uri_ex_w) <=> (uri_ex_u = uri_ex_w))) | iext(uri_owl_sameAs, uri_ex_u, uri_ex_w) | (~(uri_ex_u = uri_ex_w))),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(41,plain,
% 0.18/0.36 ((~(iext(uri_owl_sameAs, uri_ex_u, uri_ex_w) <=> (uri_ex_u = uri_ex_w))) | (~(uri_ex_u = uri_ex_w))),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.18/0.36 tff(42,plain,
% 0.18/0.36 (~(uri_ex_u = uri_ex_w)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[41, 36])).
% 0.18/0.36 tff(43,plain,
% 0.18/0.36 ($false),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[42, 34])).
% 0.18/0.36 % SZS output end Proof
% 0.18/0.36 % E exiting
%------------------------------------------------------------------------------