%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB009+3 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 05:29:32 AM UTC 2025
% Result : Theorem 0.21s 0.46s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWB009+3 : TPTP v9.0.0. Released v5.2.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 07:45:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.21/0.46 % SZS status Theorem
% 0.21/0.46 % SZS output start Proof
% 0.21/0.46 tff(icext_type, type, (
% 0.21/0.46 icext: ( $i * $i ) > $o)).
% 0.21/0.46 tff(tptp_fun_Y_16_type, type, (
% 0.21/0.46 tptp_fun_Y_16: ( $i * $i * $i ) > $i)).
% 0.21/0.46 tff(uri_ex_p_type, type, (
% 0.21/0.46 uri_ex_p: $i)).
% 0.21/0.46 tff(uri_ex_c_type, type, (
% 0.21/0.46 uri_ex_c: $i)).
% 0.21/0.46 tff(uri_ex_s_type, type, (
% 0.21/0.46 uri_ex_s: $i)).
% 0.21/0.46 tff(iext_type, type, (
% 0.21/0.46 iext: ( $i * $i * $i ) > $o)).
% 0.21/0.46 tff(uri_rdf_type_type, type, (
% 0.21/0.46 uri_rdf_type: $i)).
% 0.21/0.46 tff(tptp_fun_BNODE_z_17_type, type, (
% 0.21/0.46 tptp_fun_BNODE_z_17: $i)).
% 0.21/0.46 tff(uri_owl_someValuesFrom_type, type, (
% 0.21/0.46 uri_owl_someValuesFrom: $i)).
% 0.21/0.46 tff(uri_owl_onProperty_type, type, (
% 0.21/0.46 uri_owl_onProperty: $i)).
% 0.21/0.46 tff(uri_owl_Restriction_type, type, (
% 0.21/0.46 uri_owl_Restriction: $i)).
% 0.21/0.46 tff(uri_owl_Class_type, type, (
% 0.21/0.46 uri_owl_Class: $i)).
% 0.21/0.46 tff(uri_owl_ObjectProperty_type, type, (
% 0.21/0.46 uri_owl_ObjectProperty: $i)).
% 0.21/0.46 tff(1,plain,
% 0.21/0.46 (?[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))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(2,plain,
% 0.21/0.46 (^[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))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(3,plain,
% 0.21/0.46 (?[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))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[2])).
% 0.21/0.46 tff(4,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')).
% 0.21/0.46 tff(5,plain,
% 0.21/0.46 (?[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))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.21/0.46 tff(6,plain,
% 0.21/0.46 (?[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))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.21/0.46 tff(7,plain,(
% 0.21/0.46 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!17) & iext(uri_rdf_type, BNODE_z!17, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z!17, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z!17, uri_ex_c)),
% 0.21/0.46 inference(skolemize,[status(sab)],[6])).
% 0.21/0.46 tff(8,plain,
% 0.21/0.46 (iext(uri_owl_someValuesFrom, BNODE_z!17, uri_ex_c)),
% 0.21/0.46 inference(and_elim,[status(thm)],[7])).
% 0.21/0.46 tff(9,plain,
% 0.21/0.46 (iext(uri_owl_onProperty, BNODE_z!17, uri_ex_p)),
% 0.21/0.46 inference(and_elim,[status(thm)],[7])).
% 0.21/0.46 tff(10,plain,
% 0.21/0.46 (^[Z: $i, P: $i, C: $i] : refl(((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(11,plain,
% 0.21/0.46 (![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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(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)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[10])).
% 0.21/0.46 tff(12,plain,
% 0.21/0.46 (^[Z: $i, P: $i, C: $i] : rewrite(((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(13,plain,
% 0.21/0.46 (![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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(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)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[12])).
% 0.21/0.46 tff(14,plain,
% 0.21/0.46 (![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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(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)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[13, 11])).
% 0.21/0.46 tff(15,plain,
% 0.21/0.46 (^[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_16(X, C, P)) & icext(C, tptp_fun_Y_16(X, C, P)))) <=> ((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))), rewrite((icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))) <=> (icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))), ((((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_16(X, C, P)) & icext(C, tptp_fun_Y_16(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> (((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P)))))) & (icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))), rewrite((((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P)))))) & (icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))) <=> (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))), ((((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_16(X, C, P)) & icext(C, tptp_fun_Y_16(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(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_16(X, C, P)) & icext(C, tptp_fun_Y_16(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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(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)) | (iext(P, X, tptp_fun_Y_16(X, C, P)) & icext(C, tptp_fun_Y_16(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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, 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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(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)) | (iext(P, X, tptp_fun_Y_16(X, C, P)) & icext(C, tptp_fun_Y_16(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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(16,plain,
% 0.21/0.46 (![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_16(X, C, P)) & icext(C, tptp_fun_Y_16(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)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[15])).
% 0.21/0.46 tff(17,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(18,plain,
% 0.21/0.46 (^[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)))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(19,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[18])).
% 0.21/0.46 tff(20,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/SWB002+0.ax','owl_restrict_somevaluesfrom')).
% 0.21/0.46 tff(21,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.21/0.46 tff(22,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.21/0.46 tff(23,plain,(
% 0.21/0.46 ![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_16(X, C, P)) & icext(C, tptp_fun_Y_16(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))))),
% 0.21/0.46 inference(skolemize,[status(sab)],[22])).
% 0.21/0.46 tff(24,plain,
% 0.21/0.46 (![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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.21/0.46 tff(25,plain,
% 0.21/0.46 (![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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[24, 14])).
% 0.21/0.46 tff(26,plain,
% 0.21/0.46 (((~![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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!17, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!17, uri_ex_c)) | ![X: $i] : (~((~(icext(BNODE_z!17, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y))))) | (~((~icext(BNODE_z!17, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_16(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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))) | (~iext(uri_owl_onProperty, BNODE_z!17, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!17, uri_ex_c)) | ![X: $i] : (~((~(icext(BNODE_z!17, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y))))) | (~((~icext(BNODE_z!17, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))))))))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(27,plain,
% 0.21/0.46 (((~iext(uri_owl_onProperty, BNODE_z!17, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!17, uri_ex_c)) | ![X: $i] : (~((~((~icext(BNODE_z!17, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!17, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y)))))))) <=> ((~iext(uri_owl_onProperty, BNODE_z!17, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!17, uri_ex_c)) | ![X: $i] : (~((~(icext(BNODE_z!17, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y))))) | (~((~icext(BNODE_z!17, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))))))))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(28,plain,
% 0.21/0.46 (((~![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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!17, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!17, uri_ex_c)) | ![X: $i] : (~((~((~icext(BNODE_z!17, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!17, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, 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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!17, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!17, uri_ex_c)) | ![X: $i] : (~((~(icext(BNODE_z!17, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y))))) | (~((~icext(BNODE_z!17, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p)))))))))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[27])).
% 0.21/0.46 tff(29,plain,
% 0.21/0.46 (((~![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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!17, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!17, uri_ex_c)) | ![X: $i] : (~((~((~icext(BNODE_z!17, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!17, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, 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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))) | (~iext(uri_owl_onProperty, BNODE_z!17, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!17, uri_ex_c)) | ![X: $i] : (~((~(icext(BNODE_z!17, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y))))) | (~((~icext(BNODE_z!17, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))))))))))),
% 0.21/0.47 inference(transitivity,[status(thm)],[28, 26])).
% 0.21/0.47 tff(30,plain,
% 0.21/0.47 ((~![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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!17, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!17, uri_ex_c)) | ![X: $i] : (~((~((~icext(BNODE_z!17, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!17, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y))))))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(31,plain,
% 0.21/0.47 ((~![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_16(X, C, P))) | (~icext(C, tptp_fun_Y_16(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))) | (~iext(uri_owl_onProperty, BNODE_z!17, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, BNODE_z!17, uri_ex_c)) | ![X: $i] : (~((~(icext(BNODE_z!17, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y))))) | (~((~icext(BNODE_z!17, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p)))))))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.21/0.47 tff(32,plain,
% 0.21/0.47 (![X: $i] : (~((~(icext(BNODE_z!17, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y))))) | (~((~icext(BNODE_z!17, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p)))))))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[31, 25, 9, 8])).
% 0.21/0.47 tff(33,plain,
% 0.21/0.47 ((~![X: $i] : (~((~(icext(BNODE_z!17, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y))))) | (~((~icext(BNODE_z!17, X)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_16(X, uri_ex_c, uri_ex_p)))))))))) | (~((~(icext(BNODE_z!17, uri_ex_s) | ![Y: $i] : ((~iext(uri_ex_p, uri_ex_s, Y)) | (~icext(uri_ex_c, Y))))) | (~((~icext(BNODE_z!17, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p)))))))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(34,plain,
% 0.21/0.47 (~((~(icext(BNODE_z!17, uri_ex_s) | ![Y: $i] : ((~iext(uri_ex_p, uri_ex_s, Y)) | (~icext(uri_ex_c, Y))))) | (~((~icext(BNODE_z!17, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))))))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[33, 32])).
% 0.21/0.47 tff(35,plain,
% 0.21/0.47 (((~(icext(BNODE_z!17, uri_ex_s) | ![Y: $i] : ((~iext(uri_ex_p, uri_ex_s, Y)) | (~icext(uri_ex_c, Y))))) | (~((~icext(BNODE_z!17, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p)))))))) | ((~icext(BNODE_z!17, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))))))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(36,plain,
% 0.21/0.47 ((~icext(BNODE_z!17, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p)))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[35, 34])).
% 0.21/0.47 tff(37,plain,
% 0.21/0.47 (^[X: $i, C: $i] : refl((iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> (iext(uri_rdf_type, X, C) <=> icext(C, X)))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(38,plain,
% 0.21/0.47 (![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))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[37])).
% 0.21/0.47 tff(39,plain,
% 0.21/0.47 (![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))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(40,axiom,(![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax','rdfs_cext_def')).
% 0.21/0.47 tff(41,plain,
% 0.21/0.47 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.21/0.47 tff(42,plain,(
% 0.21/0.47 ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.21/0.47 inference(skolemize,[status(sab)],[41])).
% 0.21/0.47 tff(43,plain,
% 0.21/0.47 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.21/0.47 tff(44,plain,
% 0.21/0.47 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, uri_ex_s, BNODE_z!17) <=> icext(BNODE_z!17, uri_ex_s))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(45,plain,
% 0.21/0.47 (iext(uri_rdf_type, uri_ex_s, BNODE_z!17) <=> icext(BNODE_z!17, uri_ex_s)),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.21/0.47 tff(46,plain,
% 0.21/0.47 (iext(uri_rdf_type, uri_ex_s, BNODE_z!17)),
% 0.21/0.47 inference(and_elim,[status(thm)],[7])).
% 0.21/0.47 tff(47,plain,
% 0.21/0.47 ((~(iext(uri_rdf_type, uri_ex_s, BNODE_z!17) <=> icext(BNODE_z!17, uri_ex_s))) | (~iext(uri_rdf_type, uri_ex_s, BNODE_z!17)) | icext(BNODE_z!17, uri_ex_s)),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(48,plain,
% 0.21/0.47 ((~(iext(uri_rdf_type, uri_ex_s, BNODE_z!17) <=> icext(BNODE_z!17, uri_ex_s))) | icext(BNODE_z!17, uri_ex_s)),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.21/0.47 tff(49,plain,
% 0.21/0.47 (icext(BNODE_z!17, uri_ex_s)),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[48, 45])).
% 0.21/0.47 tff(50,plain,
% 0.21/0.47 ((~((~icext(BNODE_z!17, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))))))) | (~icext(BNODE_z!17, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p)))))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(51,plain,
% 0.21/0.47 ((~((~icext(BNODE_z!17, uri_ex_s)) | (~((~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))))))) | (~((~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p)))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[50, 49])).
% 0.21/0.47 tff(52,plain,
% 0.21/0.47 (~((~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[51, 36])).
% 0.21/0.47 tff(53,plain,
% 0.21/0.47 (((~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p)))) | iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(54,plain,
% 0.21/0.47 (iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[53, 52])).
% 0.21/0.47 tff(55,plain,
% 0.21/0.47 (^[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))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(56,plain,
% 0.21/0.47 (![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)))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[55])).
% 0.21/0.47 tff(57,plain,
% 0.21/0.47 (^[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)))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(58,plain,
% 0.21/0.47 (![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)))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[57])).
% 0.21/0.47 tff(59,plain,
% 0.21/0.47 ((~?[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)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(60,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')).
% 0.21/0.47 tff(61,plain,
% 0.21/0.47 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.21/0.47 tff(62,plain,
% 0.21/0.47 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[61, 59])).
% 0.21/0.47 tff(63,plain,
% 0.21/0.47 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[62, 59])).
% 0.21/0.47 tff(64,plain,
% 0.21/0.47 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[63, 59])).
% 0.21/0.47 tff(65,plain,
% 0.21/0.47 (^[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)))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(66,plain,(
% 0.21/0.47 ![BNODE_x: $i] : (~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.21/0.47 inference(nnf-neg,[status(sab)],[64, 65])).
% 0.21/0.47 tff(67,plain,
% 0.21/0.47 (![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[66, 58])).
% 0.21/0.47 tff(68,plain,
% 0.21/0.47 (![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[67, 56])).
% 0.21/0.47 tff(69,plain,
% 0.21/0.47 (((~![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_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_rdf_type, tptp_fun_Y_16(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_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_rdf_type, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(70,plain,
% 0.21/0.47 ((~![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_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_rdf_type, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(71,plain,
% 0.21/0.47 ((~![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_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_rdf_type, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.21/0.47 tff(72,plain,
% 0.21/0.47 (~iext(uri_rdf_type, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[71, 68, 54])).
% 0.21/0.48 tff(73,plain,
% 0.21/0.48 (((~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p)))) | icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.21/0.48 inference(tautology,[status(thm)],[])).
% 0.21/0.48 tff(74,plain,
% 0.21/0.48 (icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[73, 52])).
% 0.21/0.48 tff(75,plain,
% 0.21/0.48 ((~(iext(uri_rdf_type, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) <=> icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p)))) | iext(uri_rdf_type, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) | (~icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p)))),
% 0.21/0.48 inference(tautology,[status(thm)],[])).
% 0.21/0.48 tff(76,plain,
% 0.21/0.48 (~(iext(uri_rdf_type, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) <=> icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p)))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[75, 74, 72])).
% 0.21/0.48 tff(77,plain,
% 0.21/0.48 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) <=> icext(uri_ex_c, tptp_fun_Y_16(uri_ex_s, uri_ex_c, uri_ex_p)))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(78,plain,
% 0.21/0.48 ($false),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[77, 43, 76])).
% 0.21/0.48 % SZS output end Proof
% 0.21/0.48 % E exiting
%------------------------------------------------------------------------------