%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB009+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 05:29:31 AM UTC 2025
% Result : Theorem 0.54s 0.77s
% Output : Proof 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB009+1 : TPTP v9.0.0. Released v5.2.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n008.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 : 300
% 0.12/0.33 % DateTime : Fri Jun 20 07:43:18 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.54/0.77 % SZS status Theorem
% 0.54/0.77 % SZS output start Proof
% 0.54/0.77 tff(icext_type, type, (
% 0.54/0.77 icext: ( $i * $i ) > $o)).
% 0.54/0.77 tff(tptp_fun_Y_42_type, type, (
% 0.54/0.77 tptp_fun_Y_42: ( $i * $i * $i ) > $i)).
% 0.54/0.77 tff(uri_ex_p_type, type, (
% 0.54/0.77 uri_ex_p: $i)).
% 0.54/0.77 tff(uri_ex_c_type, type, (
% 0.54/0.77 uri_ex_c: $i)).
% 0.54/0.77 tff(uri_ex_s_type, type, (
% 0.54/0.77 uri_ex_s: $i)).
% 0.54/0.77 tff(iext_type, type, (
% 0.54/0.77 iext: ( $i * $i * $i ) > $o)).
% 0.54/0.77 tff(uri_rdf_type_type, type, (
% 0.54/0.77 uri_rdf_type: $i)).
% 0.54/0.77 tff(tptp_fun_BNODE_z_140_type, type, (
% 0.54/0.77 tptp_fun_BNODE_z_140: $i)).
% 0.54/0.77 tff(uri_owl_someValuesFrom_type, type, (
% 0.54/0.77 uri_owl_someValuesFrom: $i)).
% 0.54/0.77 tff(uri_owl_onProperty_type, type, (
% 0.54/0.77 uri_owl_onProperty: $i)).
% 0.54/0.77 tff(uri_owl_Restriction_type, type, (
% 0.54/0.77 uri_owl_Restriction: $i)).
% 0.54/0.77 tff(uri_owl_Class_type, type, (
% 0.54/0.77 uri_owl_Class: $i)).
% 0.54/0.77 tff(uri_owl_ObjectProperty_type, type, (
% 0.54/0.77 uri_owl_ObjectProperty: $i)).
% 0.54/0.77 tff(1,plain,
% 0.54/0.77 (^[X: $i, C: $i] : refl((iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> (iext(uri_rdf_type, X, C) <=> icext(C, X)))),
% 0.54/0.77 inference(bind,[status(th)],[])).
% 0.54/0.77 tff(2,plain,
% 0.54/0.77 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.54/0.77 inference(quant_intro,[status(thm)],[1])).
% 0.54/0.77 tff(3,plain,
% 0.54/0.77 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.54/0.77 inference(rewrite,[status(thm)],[])).
% 0.54/0.77 tff(4,axiom,(![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','rdfs_cext_def')).
% 0.54/0.77 tff(5,plain,
% 0.54/0.77 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.54/0.77 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.54/0.77 tff(6,plain,(
% 0.54/0.77 ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.54/0.77 inference(skolemize,[status(sab)],[5])).
% 0.54/0.77 tff(7,plain,
% 0.54/0.77 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.54/0.77 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.54/0.77 tff(8,plain,
% 0.54/0.77 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) <=> icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p)))),
% 0.54/0.77 inference(quant_inst,[status(thm)],[])).
% 0.54/0.77 tff(9,plain,
% 0.54/0.77 (iext(uri_rdf_type, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) <=> icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.54/0.77 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.54/0.77 tff(10,plain,
% 0.54/0.77 (?[BNODE_z: $i] : (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c)) <=> ?[BNODE_z: $i] : (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))),
% 0.54/0.77 inference(rewrite,[status(thm)],[])).
% 0.54/0.77 tff(11,plain,
% 0.54/0.77 (^[BNODE_z: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z))), ((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) <=> ((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)))), rewrite(((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction))), ((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)))), (((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) <=> ((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)))), rewrite(((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p))), (((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)))), ((((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c)) <=> ((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c)))), rewrite(((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))), ((((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))))),
% 0.54/0.77 inference(bind,[status(th)],[])).
% 0.54/0.77 tff(12,plain,
% 0.54/0.77 (?[BNODE_z: $i] : (((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c)) <=> ?[BNODE_z: $i] : (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))),
% 0.54/0.77 inference(quant_intro,[status(thm)],[11])).
% 0.54/0.77 tff(13,axiom,(?[BNODE_z: $i] : (((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','testcase_premise_fullish_009_Existential_Restriction_Entailments')).
% 0.54/0.77 tff(14,plain,
% 0.54/0.77 (?[BNODE_z: $i] : (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))),
% 0.54/0.77 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.54/0.77 tff(15,plain,
% 0.54/0.77 (?[BNODE_z: $i] : (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))),
% 0.54/0.77 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.54/0.77 tff(16,plain,(
% 0.54/0.77 iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z!140) & iext(uri_rdf_type, BNODE_z!140, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z!140, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z!140, uri_ex_c)),
% 0.54/0.77 inference(skolemize,[status(sab)],[15])).
% 0.54/0.77 tff(17,plain,
% 0.54/0.77 (iext(uri_owl_someValuesFrom, BNODE_z!140, uri_ex_c)),
% 0.54/0.77 inference(and_elim,[status(thm)],[16])).
% 0.54/0.77 tff(18,plain,
% 0.54/0.77 (iext(uri_owl_onProperty, BNODE_z!140, uri_ex_p)),
% 0.54/0.77 inference(and_elim,[status(thm)],[16])).
% 0.54/0.77 tff(19,plain,
% 0.54/0.77 (^[Z: $i, P: $i, C: $i] : rewrite(((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))))),
% 0.54/0.77 inference(bind,[status(th)],[])).
% 0.54/0.77 tff(20,plain,
% 0.54/0.77 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))),
% 0.54/0.77 inference(quant_intro,[status(thm)],[19])).
% 0.54/0.77 tff(21,plain,
% 0.54/0.77 (^[Z: $i, P: $i, C: $i] : refl(((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))))),
% 0.54/0.77 inference(bind,[status(th)],[])).
% 0.54/0.77 tff(22,plain,
% 0.54/0.77 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.54/0.77 inference(quant_intro,[status(thm)],[21])).
% 0.54/0.77 tff(23,plain,
% 0.54/0.77 (^[Z: $i, P: $i, C: $i] : rewrite(((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))))),
% 0.54/0.77 inference(bind,[status(th)],[])).
% 0.54/0.77 tff(24,plain,
% 0.54/0.77 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.54/0.77 inference(quant_intro,[status(thm)],[23])).
% 0.54/0.77 tff(25,plain,
% 0.54/0.77 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.54/0.77 inference(transitivity,[status(thm)],[24, 22])).
% 0.54/0.77 tff(26,plain,
% 0.54/0.77 (^[Z: $i, P: $i, C: $i] : trans(monotonicity(trans(monotonicity(rewrite((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) <=> (~((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))))), ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) <=> (~(~((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))))))), rewrite((~(~((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))))) <=> ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)))), ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) <=> ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))))), quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite(((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) <=> ((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))), rewrite((icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))) <=> (icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))), ((((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> (((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P)))))) & (icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))), rewrite((((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P)))))) & (icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))) <=> (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))), ((((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))))), (![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))), (((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))))) <=> (((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))))), rewrite((((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))) <=> ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))), (((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))))) <=> ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))))),
% 0.54/0.77 inference(bind,[status(th)],[])).
% 0.54/0.77 tff(27,plain,
% 0.54/0.77 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.54/0.77 inference(quant_intro,[status(thm)],[26])).
% 0.54/0.77 tff(28,plain,
% 0.54/0.77 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y)))) <=> ![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))),
% 0.54/0.77 inference(rewrite,[status(thm)],[])).
% 0.54/0.77 tff(29,plain,
% 0.54/0.77 (^[Z: $i, P: $i, C: $i] : rewrite(((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y)))) <=> ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y)))))),
% 0.61/0.78 inference(bind,[status(th)],[])).
% 0.61/0.78 tff(30,plain,
% 0.61/0.78 (![Z: $i, P: $i, C: $i] : ((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y)))) <=> ![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))),
% 0.61/0.78 inference(quant_intro,[status(thm)],[29])).
% 0.61/0.78 tff(31,axiom,(![Z: $i, P: $i, C: $i] : ((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_restrict_somevaluesfrom')).
% 0.61/0.78 tff(32,plain,
% 0.61/0.78 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.61/0.78 tff(33,plain,
% 0.61/0.78 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.61/0.78 tff(34,plain,(
% 0.61/0.78 ![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))))),
% 0.61/0.78 inference(skolemize,[status(sab)],[33])).
% 0.61/0.78 tff(35,plain,
% 0.61/0.78 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[34, 27])).
% 0.61/0.78 tff(36,plain,
% 0.61/0.78 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[35, 25])).
% 0.61/0.78 tff(37,plain,
% 0.61/0.78 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[36, 20])).
% 0.61/0.78 tff(38,plain,
% 0.61/0.78 (((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!140, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_ex_c)) | ![X: $i] : (~((~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(BNODE_z!140, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))))))))))) <=> ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | (~iext(uri_owl_onProperty, BNODE_z!140, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_ex_c)) | ![X: $i] : (~((~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(BNODE_z!140, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))))))))))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(39,plain,
% 0.61/0.78 (((~iext(uri_owl_onProperty, BNODE_z!140, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_ex_c)) | ![X: $i] : (~((~((~icext(BNODE_z!140, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, X, Y)))))))) <=> ((~iext(uri_owl_onProperty, BNODE_z!140, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_ex_c)) | ![X: $i] : (~((~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(BNODE_z!140, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))))))))))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(40,plain,
% 0.61/0.78 (((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!140, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_ex_c)) | ![X: $i] : (~((~((~icext(BNODE_z!140, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, X, Y))))))))) <=> ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!140, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_ex_c)) | ![X: $i] : (~((~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(BNODE_z!140, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p)))))))))))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[39])).
% 0.61/0.78 tff(41,plain,
% 0.61/0.78 (((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!140, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_ex_c)) | ![X: $i] : (~((~((~icext(BNODE_z!140, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, X, Y))))))))) <=> ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | (~iext(uri_owl_onProperty, BNODE_z!140, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_ex_c)) | ![X: $i] : (~((~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(BNODE_z!140, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))))))))))),
% 0.61/0.78 inference(transitivity,[status(thm)],[40, 38])).
% 0.61/0.78 tff(42,plain,
% 0.61/0.78 ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!140, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_ex_c)) | ![X: $i] : (~((~((~icext(BNODE_z!140, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, X, Y))))))))),
% 0.61/0.78 inference(quant_inst,[status(thm)],[])).
% 0.61/0.78 tff(43,plain,
% 0.61/0.78 ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | (~iext(uri_owl_onProperty, BNODE_z!140, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_ex_c)) | ![X: $i] : (~((~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(BNODE_z!140, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p)))))))))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.61/0.78 tff(44,plain,
% 0.61/0.78 (![X: $i] : (~((~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(BNODE_z!140, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p)))))))))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[43, 37, 18, 17])).
% 0.61/0.78 tff(45,plain,
% 0.61/0.78 ((~![X: $i] : (~((~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(BNODE_z!140, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, uri_ex_c, uri_ex_p)))))))))) | (~((~(icext(BNODE_z!140, uri_ex_s) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, uri_ex_s, Y))))) | (~((~icext(BNODE_z!140, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p)))))))))),
% 0.61/0.78 inference(quant_inst,[status(thm)],[])).
% 0.61/0.78 tff(46,plain,
% 0.61/0.78 (~((~(icext(BNODE_z!140, uri_ex_s) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, uri_ex_s, Y))))) | (~((~icext(BNODE_z!140, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))))))))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[45, 44])).
% 0.61/0.78 tff(47,plain,
% 0.61/0.78 (((~(icext(BNODE_z!140, uri_ex_s) | ![Y: $i] : ((~icext(uri_ex_c, Y)) | (~iext(uri_ex_p, uri_ex_s, Y))))) | (~((~icext(BNODE_z!140, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p)))))))) | ((~icext(BNODE_z!140, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))))))),
% 0.61/0.78 inference(tautology,[status(thm)],[])).
% 0.61/0.78 tff(48,plain,
% 0.61/0.78 ((~icext(BNODE_z!140, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p)))))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.61/0.78 tff(49,plain,
% 0.61/0.78 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, uri_ex_s, BNODE_z!140) <=> icext(BNODE_z!140, uri_ex_s))),
% 0.61/0.78 inference(quant_inst,[status(thm)],[])).
% 0.61/0.78 tff(50,plain,
% 0.61/0.78 (iext(uri_rdf_type, uri_ex_s, BNODE_z!140) <=> icext(BNODE_z!140, uri_ex_s)),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[49, 7])).
% 0.61/0.78 tff(51,plain,
% 0.61/0.78 (iext(uri_rdf_type, uri_ex_s, BNODE_z!140)),
% 0.61/0.78 inference(and_elim,[status(thm)],[16])).
% 0.61/0.78 tff(52,plain,
% 0.61/0.78 ((~(iext(uri_rdf_type, uri_ex_s, BNODE_z!140) <=> icext(BNODE_z!140, uri_ex_s))) | (~iext(uri_rdf_type, uri_ex_s, BNODE_z!140)) | icext(BNODE_z!140, uri_ex_s)),
% 0.61/0.78 inference(tautology,[status(thm)],[])).
% 0.61/0.78 tff(53,plain,
% 0.61/0.78 ((~(iext(uri_rdf_type, uri_ex_s, BNODE_z!140) <=> icext(BNODE_z!140, uri_ex_s))) | icext(BNODE_z!140, uri_ex_s)),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[52, 51])).
% 0.61/0.78 tff(54,plain,
% 0.61/0.78 (icext(BNODE_z!140, uri_ex_s)),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[53, 50])).
% 0.61/0.78 tff(55,plain,
% 0.61/0.78 ((~((~icext(BNODE_z!140, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))))))) | (~icext(BNODE_z!140, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p)))))),
% 0.61/0.78 inference(tautology,[status(thm)],[])).
% 0.61/0.78 tff(56,plain,
% 0.61/0.78 ((~((~icext(BNODE_z!140, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))))))) | (~((~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p)))))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[55, 54])).
% 0.61/0.78 tff(57,plain,
% 0.61/0.78 (~((~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[56, 48])).
% 0.61/0.78 tff(58,plain,
% 0.61/0.78 (((~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p)))) | iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.61/0.78 inference(tautology,[status(thm)],[])).
% 0.61/0.78 tff(59,plain,
% 0.61/0.78 (iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.61/0.78 tff(60,plain,
% 0.61/0.78 (^[BNODE_x: $i] : refl(((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c))) <=> ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c))))),
% 0.61/0.78 inference(bind,[status(th)],[])).
% 0.61/0.78 tff(61,plain,
% 0.61/0.78 (![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c))) <=> ![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.61/0.78 inference(quant_intro,[status(thm)],[60])).
% 0.61/0.78 tff(62,plain,
% 0.61/0.78 (^[BNODE_x: $i] : trans(monotonicity(rewrite((iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c)) <=> (~((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c))))), ((~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))) <=> (~(~((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c))))))), rewrite((~(~((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c))))) <=> ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))), ((~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))) <=> ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))))),
% 0.61/0.78 inference(bind,[status(th)],[])).
% 0.61/0.78 tff(63,plain,
% 0.61/0.78 (![BNODE_x: $i] : (~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))) <=> ![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.61/0.78 inference(quant_intro,[status(thm)],[62])).
% 0.61/0.78 tff(64,plain,
% 0.61/0.78 ((~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))) <=> (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.61/0.78 inference(rewrite,[status(thm)],[])).
% 0.61/0.78 tff(65,axiom,(~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','testcase_conclusion_fullish_009_Existential_Restriction_Entailments')).
% 0.61/0.78 tff(66,plain,
% 0.61/0.78 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.61/0.78 tff(67,plain,
% 0.61/0.78 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[66, 64])).
% 0.61/0.78 tff(68,plain,
% 0.61/0.78 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.61/0.78 inference(modus_ponens,[status(thm)],[67, 64])).
% 0.61/0.80 tff(69,plain,
% 0.61/0.80 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[68, 64])).
% 0.61/0.80 tff(70,plain,
% 0.61/0.80 (^[BNODE_x: $i] : refl($oeq((~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))), (~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c)))))),
% 0.61/0.80 inference(bind,[status(th)],[])).
% 0.61/0.80 tff(71,plain,(
% 0.61/0.80 ![BNODE_x: $i] : (~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.61/0.80 inference(nnf-neg,[status(sab)],[69, 70])).
% 0.61/0.80 tff(72,plain,
% 0.61/0.80 (![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[71, 63])).
% 0.61/0.80 tff(73,plain,
% 0.61/0.80 (![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[72, 61])).
% 0.61/0.80 tff(74,plain,
% 0.61/0.80 (((~![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))) | ((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_rdf_type, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)))) <=> ((~![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_rdf_type, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)))),
% 0.61/0.80 inference(rewrite,[status(thm)],[])).
% 0.61/0.80 tff(75,plain,
% 0.61/0.80 ((~![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))) | ((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_rdf_type, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)))),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(76,plain,
% 0.61/0.80 ((~![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_rdf_type, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c))),
% 0.61/0.80 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.61/0.80 tff(77,plain,
% 0.61/0.80 (~iext(uri_rdf_type, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[76, 73, 59])).
% 0.61/0.80 tff(78,plain,
% 0.61/0.80 (((~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p)))) | icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.61/0.80 inference(tautology,[status(thm)],[])).
% 0.61/0.80 tff(79,plain,
% 0.61/0.80 (icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[78, 57])).
% 0.61/0.80 tff(80,plain,
% 0.61/0.80 ((~(iext(uri_rdf_type, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) <=> icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p)))) | iext(uri_rdf_type, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) | (~icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p)))),
% 0.61/0.80 inference(tautology,[status(thm)],[])).
% 0.61/0.80 tff(81,plain,
% 0.61/0.80 ((~(iext(uri_rdf_type, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) <=> icext(uri_ex_c, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p)))) | iext(uri_rdf_type, tptp_fun_Y_42(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[80, 79])).
% 0.61/0.80 tff(82,plain,
% 0.61/0.80 ($false),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[81, 77, 9])).
% 0.61/0.80 % SZS output end Proof
% 0.61/0.81 % E exiting
%------------------------------------------------------------------------------