TSTP Solution File: SWB001+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SWB001+3 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n021.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 : Tue Sep 20 08:21:53 EDT 2022
% Result : Theorem 3.89s 2.76s
% Output : Proof 3.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWB001+3 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n021.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 : Sat Sep 3 19:07:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Conjecture not found
% 0.12/0.35 Start search
% 0.12/0.36 nb_step : 1 - limit : 94
% 0.12/0.36 Launch Gotab with destructive = true
% 3.89/2.73 % SZS output start Proof for theBenchmark.p
% 3.89/2.76 [0] ALPHA_AND : ((! [Z20_20, C21_21] : ((iext(uri_owl_complementOf, Z20_20, C21_21) => ((ic(Z20_20) & ic(C21_21)) & ! [X22_22] : ((icext(Z20_20, X22_22) <=> ~icext(C21_21, X22_22)))))) & ! [Z25_25, S126_26, C127_27] : (((iext(uri_rdf_first, S126_26, C127_27) & iext(uri_rdf_rest, S126_26, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z25_25, S126_26) <=> ((ic(Z25_25) & ic(C127_27)) & ! [X28_28] : ((icext(Z25_25, X28_28) <=> icext(C127_27, X28_28))))))) & ! [Z29_29, S130_30, C131_31, S232_32, C233_33] : (((((iext(uri_rdf_first, S130_30, C131_31) & iext(uri_rdf_rest, S130_30, S232_32)) & iext(uri_rdf_first, S232_32, C233_33)) & iext(uri_rdf_rest, S232_32, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z29_29, S130_30) <=> (((ic(Z29_29) & ic(C131_31)) & ic(C233_33)) & ! [X34_34] : ((icext(Z29_29, X34_34) <=> (icext(C131_31, X34_34) & icext(C233_33, X34_34)))))))) & ! [Z35_35, S136_36, C137_37, S238_38, C239_39, S340_40, C341_41] : (((((((iext(uri_rdf_first, S136_36, C137_37) & iext(uri_rdf_rest, S136_36, S238_38)) & iext(uri_rdf_first, S238_38, C239_39)) & iext(uri_rdf_rest, S238_38, S340_40)) & iext(uri_rdf_first, S340_40, C341_41)) & iext(uri_rdf_rest, S340_40, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z35_35, S136_36) <=> ((((ic(Z35_35) & ic(C137_37)) & ic(C239_39)) & ic(C341_41)) & ! [X42_42] : ((icext(Z35_35, X42_42) <=> ((icext(C137_37, X42_42) & icext(C239_39, X42_42)) & icext(C341_41, X42_42)))))))) & ! [Z45_45, S146_46, C147_47] : (((iext(uri_rdf_first, S146_46, C147_47) & iext(uri_rdf_rest, S146_46, uri_rdf_nil)) => (iext(uri_owl_unionOf, Z45_45, S146_46) <=> ((ic(Z45_45) & ic(C147_47)) & ! [X48_48] : ((icext(Z45_45, X48_48) <=> icext(C147_47, X48_48))))))) & ! [Z49_49, S150_50, C151_51, S252_52, C253_53] : (((((iext(uri_rdf_first, S150_50, C151_51) & iext(uri_rdf_rest, S150_50, S252_52)) & iext(uri_rdf_first, S252_52, C253_53)) & iext(uri_rdf_rest, S252_52, uri_rdf_nil)) => (iext(uri_owl_unionOf, Z49_49, S150_50) <=> (((ic(Z49_49) & ic(C151_51)) & ic(C253_53)) & ! [X54_54] : ((icext(Z49_49, X54_54) <=> (icext(C151_51, X54_54) | icext(C253_53, X54_54)))))))) & ! [Z55_55, S156_56, C157_57, S258_58, C259_59, S360_60, C361_61] : (((((((iext(uri_rdf_first, S156_56, C157_57) & iext(uri_rdf_rest, S156_56, S258_58)) & iext(uri_rdf_first, S258_58, C259_59)) & iext(uri_rdf_rest, S258_58, S360_60)) & iext(uri_rdf_first, S360_60, C361_61)) & iext(uri_rdf_rest, S360_60, uri_rdf_nil)) => (iext(uri_owl_unionOf, Z55_55, S156_56) <=> ((((ic(Z55_55) & ic(C157_57)) & ic(C259_59)) & ic(C361_61)) & ! [X62_62] : ((icext(Z55_55, X62_62) <=> ((icext(C157_57, X62_62) | icext(C259_59, X62_62)) | icext(C361_61, X62_62)))))))) & ! [X63_63] : (~icext(uri_owl_Nothing, X63_63)) & ic(uri_owl_Nothing) & ! [X64_64] : ((icext(uri_owl_Thing, X64_64) <=> ir(X64_64))) & ic(uri_owl_Thing) & ! [X65_65] : ((ic(X65_65) => ! [Y66_66] : ((icext(X65_65, Y66_66) => ir(Y66_66))))) & ! [X67_67] : ((ic(X67_67) => ir(X67_67))) & ! [X68_68] : ((ic(X68_68) <=> iext(uri_rdf_type, X68_68, uri_rdfs_Class))) & ! [X69_69] : ((idc(X69_69) => ! [Y70_70] : ((icext(X69_69, Y70_70) => lv(Y70_70))))) & ! [X71_71] : ((idc(X71_71) => ic(X71_71))) & ! [X72_72] : ((idc(X72_72) <=> iext(uri_rdf_type, X72_72, uri_rdfs_Datatype))) & ! [X73_73] : ((ioap(X73_73) => ! [Y74_74, Z75_75] : ((iext(X73_73, Y74_74, Z75_75) => (ir(Y74_74) & ir(Z75_75)))))) & ! [X76_76] : ((ioap(X76_76) => ip(X76_76))) & ! [X77_77] : ((ioap(X77_77) <=> iext(uri_rdf_type, X77_77, uri_owl_AnnotationProperty))) & ! [X78_78] : ((iodp(X78_78) => ! [Y79_79, Z80_80] : ((iext(X78_78, Y79_79, Z80_80) => (ir(Y79_79) & lv(Z80_80)))))) & ! [X81_81] : ((iodp(X81_81) => ip(X81_81))) & ! [X82_82] : ((iodp(X82_82) <=> iext(uri_rdf_type, X82_82, uri_owl_DatatypeProperty))) & ! [X83_83] : ((ioxp(X83_83) => ! [Y84_84, Z85_85] : ((iext(X83_83, Y84_84, Z85_85) => (ix(Y84_84) & ix(Z85_85)))))) & ! [X86_86] : ((ioxp(X86_86) => ip(X86_86))) & ! [X87_87] : ((ioxp(X87_87) <=> iext(uri_rdf_type, X87_87, uri_owl_OntologyProperty))) & ! [X88_88] : ((ip(X88_88) => ! [Y89_89, Z90_90] : ((iext(X88_88, Y89_89, Z90_90) => (ir(Y89_89) & ir(Z90_90)))))) & ! [X91_91] : ((ip(X91_91) => ir(X91_91))) & ! [X92_92] : ((ip(X92_92) <=> iext(uri_rdf_type, X92_92, uri_rdf_Property))) & ? [X93_93] : (ir(X93_93)) & ! [X94_94] : ((ir(X94_94) <=> iext(uri_rdf_type, X94_94, uri_rdfs_Resource))) & ! [X95_95] : ((ix(X95_95) => ir(X95_95))) & ! [X96_96] : ((ix(X96_96) <=> iext(uri_rdf_type, X96_96, uri_owl_Ontology))) & ! [X97_97] : ((lv(X97_97) => ir(X97_97))) & ! [X98_98] : ((lv(X98_98) <=> iext(uri_rdf_type, X98_98, uri_rdfs_Literal))) & ! [X99_99, Y100_100] : ((iext(uri_owl_allValuesFrom, X99_99, Y100_100) => (icext(uri_owl_Restriction, X99_99) & ic(Y100_100)))) & ip(uri_owl_allValuesFrom) & ! [X101_101, Y102_102] : ((iext(uri_owl_complementOf, X101_101, Y102_102) => (ic(X101_101) & ic(Y102_102)))) & ip(uri_owl_complementOf) & ! [X103_103, Y104_104] : ((iext(uri_owl_hasValue, X103_103, Y104_104) => (icext(uri_owl_Restriction, X103_103) & ir(Y104_104)))) & ip(uri_owl_hasValue) & ! [X105_105, Y106_106] : ((iext(uri_owl_intersectionOf, X105_105, Y106_106) => (ic(X105_105) & icext(uri_rdf_List, Y106_106)))) & ip(uri_owl_intersectionOf) & ! [X107_107, Y108_108] : ((iext(uri_owl_onProperty, X107_107, Y108_108) => (icext(uri_owl_Restriction, X107_107) & ip(Y108_108)))) & ip(uri_owl_onProperty) & ! [X109_109, Y110_110] : ((iext(uri_owl_someValuesFrom, X109_109, Y110_110) => (icext(uri_owl_Restriction, X109_109) & ic(Y110_110)))) & ip(uri_owl_someValuesFrom) & ! [X111_111, Y112_112] : ((iext(uri_owl_unionOf, X111_111, Y112_112) => (ic(X111_111) & icext(uri_rdf_List, Y112_112)))) & ip(uri_owl_unionOf) & ! [Z128_128, P129_129, C130_130] : (((iext(uri_owl_allValuesFrom, Z128_128, C130_130) & iext(uri_owl_onProperty, Z128_128, P129_129)) => ! [X131_131] : ((icext(Z128_128, X131_131) <=> ! [Y132_132] : ((iext(P129_129, X131_131, Y132_132) => icext(C130_130, Y132_132))))))) & ! [Z133_133, P134_134, A135_135] : (((iext(uri_owl_hasValue, Z133_133, A135_135) & iext(uri_owl_onProperty, Z133_133, P134_134)) => ! [X136_136] : ((icext(Z133_133, X136_136) <=> iext(P134_134, X136_136, A135_135))))) & ! [Z137_137, P138_138, C139_139] : (((iext(uri_owl_someValuesFrom, Z137_137, C139_139) & iext(uri_owl_onProperty, Z137_137, P138_138)) => ! [X140_140] : ((icext(Z137_137, X140_140) <=> ? [Y141_141] : ((iext(P138_138, X140_140, Y141_141) & icext(C139_139, Y141_141))))))) & iext(uri_rdf_type, uri_rdf_first, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_nil, uri_rdf_List) & iext(uri_rdf_type, uri_rdf_rest, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__1, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__2, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__3, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_object, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_value, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_subject, uri_rdf_Property) & ! [P142_142] : ((iext(uri_rdf_type, P142_142, uri_rdf_Property) <=> ip(P142_142))) & iext(uri_rdf_type, uri_rdf_type, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_type, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_comment, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_comment, uri_rdfs_Literal) & iext(uri_rdfs_domain, uri_rdfs_isDefinedBy, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_isDefinedBy, uri_rdfs_Resource) & iext(uri_rdfs_subPropertyOf, uri_rdfs_isDefinedBy, uri_rdfs_seeAlso) & iext(uri_rdfs_domain, uri_rdfs_label, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_label, uri_rdfs_Literal) & iext(uri_rdfs_domain, uri_rdfs_seeAlso, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_seeAlso, uri_rdfs_Resource) & ! [X143_143, C144_144] : ((iext(uri_rdf_type, X143_143, C144_144) <=> icext(C144_144, X143_143))) & ! [C145_145] : ((ic(C145_145) => iext(uri_rdfs_subClassOf, C145_145, uri_rdfs_Resource))) & iext(uri_rdfs_domain, uri_rdf_first, uri_rdf_List) & iext(uri_rdfs_range, uri_rdf_first, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_rest, uri_rdf_List) & iext(uri_rdfs_range, uri_rdf_rest, uri_rdf_List) & iext(uri_rdfs_subClassOf, uri_rdf_Alt, uri_rdfs_Container) & iext(uri_rdfs_subClassOf, uri_rdf_Bag, uri_rdfs_Container) & ! [P146_146] : ((icext(uri_rdfs_ContainerMembershipProperty, P146_146) => iext(uri_rdfs_subPropertyOf, P146_146, uri_rdfs_member))) & iext(uri_rdfs_subClassOf, uri_rdfs_ContainerMembershipProperty, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_member, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_member, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__1, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__2, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__3, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__1, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__2, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__3, uri_rdfs_Resource) & iext(uri_rdf_type, uri_rdf__1, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdf_type, uri_rdf__2, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdf_type, uri_rdf__3, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdfs_subClassOf, uri_rdfs_Seq, uri_rdfs_Container) & iext(uri_rdfs_subClassOf, uri_rdf_XMLLiteral, uri_rdfs_Literal) & iext(uri_rdf_type, uri_rdf_XMLLiteral, uri_rdfs_Datatype) & ! [D147_147] : ((icext(uri_rdfs_Datatype, D147_147) => iext(uri_rdfs_subClassOf, D147_147, uri_rdfs_Literal))) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) & ! [P148_148, C149_149, X150_150, Y151_151] : (((iext(uri_rdfs_domain, P148_148, C149_149) & iext(P148_148, X150_150, Y151_151)) => icext(C149_149, X150_150))) & iext(uri_rdfs_range, uri_rdfs_domain, uri_rdfs_Class) & ! [X152_152] : ((ic(X152_152) <=> icext(uri_rdfs_Class, X152_152))) & ! [X153_153] : ((ir(X153_153) <=> icext(uri_rdfs_Resource, X153_153))) & ! [X154_154] : ((lv(X154_154) <=> icext(uri_rdfs_Literal, X154_154))) & iext(uri_rdf_type, uri_rdf_Property, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdfs_range, uri_rdf_Property) & ! [P155_155, C156_156, X157_157, Y158_158] : (((iext(uri_rdfs_range, P155_155, C156_156) & iext(P155_155, X157_157, Y158_158)) => icext(C156_156, Y158_158))) & iext(uri_rdfs_range, uri_rdfs_range, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdf_object, uri_rdfs_Statement) & iext(uri_rdfs_range, uri_rdf_predicate, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_predicate, uri_rdfs_Statement) & iext(uri_rdfs_range, uri_rdf_predicate, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_subject, uri_rdfs_Statement) & iext(uri_rdfs_range, uri_rdf_subject, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class) & ! [C159_159, D160_160] : ((iext(uri_rdfs_subClassOf, C159_159, D160_160) => ((ic(C159_159) & ic(D160_160)) & ! [X161_161] : ((icext(C159_159, X161_161) => icext(D160_160, X161_161)))))) & iext(uri_rdfs_range, uri_rdfs_subClassOf, uri_rdfs_Class) & ! [C162_162] : ((ic(C162_162) => iext(uri_rdfs_subClassOf, C162_162, C162_162))) & ! [C163_163, D164_164, E165_165] : (((iext(uri_rdfs_subClassOf, C163_163, D164_164) & iext(uri_rdfs_subClassOf, D164_164, E165_165)) => iext(uri_rdfs_subClassOf, C163_163, E165_165))) & iext(uri_rdfs_domain, uri_rdfs_subPropertyOf, uri_rdf_Property) & ! [P166_166, Q167_167] : ((iext(uri_rdfs_subPropertyOf, P166_166, Q167_167) => ((ip(P166_166) & ip(Q167_167)) & ! [X168_168, Y169_169] : ((iext(P166_166, X168_168, Y169_169) => iext(Q167_167, X168_168, Y169_169)))))) & iext(uri_rdfs_range, uri_rdfs_subPropertyOf, uri_rdf_Property) & ! [P170_170] : ((ip(P170_170) => iext(uri_rdfs_subPropertyOf, P170_170, P170_170))) & ! [P171_171, Q172_172, R173_173] : (((iext(uri_rdfs_subPropertyOf, P171_171, Q172_172) & iext(uri_rdfs_subPropertyOf, Q172_172, R173_173)) => iext(uri_rdfs_subPropertyOf, P171_171, R173_173))) & iext(uri_rdfs_domain, uri_rdf_type, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf_type, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdf_value, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf_value, uri_rdfs_Resource) & ! [S174_174, P175_175, O176_176] : ((iext(P175_175, S174_174, O176_176) => ip(P175_175))) & ! [X177_177] : (ir(X177_177)) & ! [X178_178] : ((lv(X178_178) => ir(X178_178)))) & (((iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_r) & iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)) & iext(uri_owl_onProperty, uri_ex_r, uri_ex_p)) & iext(uri_owl_someValuesFrom, uri_ex_r, uri_ex_d)) & ~(iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction) & iext(uri_owl_onProperty, uri_ex_r, uri_ex_p)))
% 3.89/2.76 -> [1] (! [Z20_20, C21_21] : ((iext(uri_owl_complementOf, Z20_20, C21_21) => ((ic(Z20_20) & ic(C21_21)) & ! [X22_22] : ((icext(Z20_20, X22_22) <=> ~icext(C21_21, X22_22)))))) & ! [Z25_25, S126_26, C127_27] : (((iext(uri_rdf_first, S126_26, C127_27) & iext(uri_rdf_rest, S126_26, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z25_25, S126_26) <=> ((ic(Z25_25) & ic(C127_27)) & ! [X28_28] : ((icext(Z25_25, X28_28) <=> icext(C127_27, X28_28))))))) & ! [Z29_29, S130_30, C131_31, S232_32, C233_33] : (((((iext(uri_rdf_first, S130_30, C131_31) & iext(uri_rdf_rest, S130_30, S232_32)) & iext(uri_rdf_first, S232_32, C233_33)) & iext(uri_rdf_rest, S232_32, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z29_29, S130_30) <=> (((ic(Z29_29) & ic(C131_31)) & ic(C233_33)) & ! [X34_34] : ((icext(Z29_29, X34_34) <=> (icext(C131_31, X34_34) & icext(C233_33, X34_34)))))))) & ! [Z35_35, S136_36, C137_37, S238_38, C239_39, S340_40, C341_41] : (((((((iext(uri_rdf_first, S136_36, C137_37) & iext(uri_rdf_rest, S136_36, S238_38)) & iext(uri_rdf_first, S238_38, C239_39)) & iext(uri_rdf_rest, S238_38, S340_40)) & iext(uri_rdf_first, S340_40, C341_41)) & iext(uri_rdf_rest, S340_40, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z35_35, S136_36) <=> ((((ic(Z35_35) & ic(C137_37)) & ic(C239_39)) & ic(C341_41)) & ! [X42_42] : ((icext(Z35_35, X42_42) <=> ((icext(C137_37, X42_42) & icext(C239_39, X42_42)) & icext(C341_41, X42_42)))))))) & ! [Z45_45, S146_46, C147_47] : (((iext(uri_rdf_first, S146_46, C147_47) & iext(uri_rdf_rest, S146_46, uri_rdf_nil)) => (iext(uri_owl_unionOf, Z45_45, S146_46) <=> ((ic(Z45_45) & ic(C147_47)) & ! [X48_48] : ((icext(Z45_45, X48_48) <=> icext(C147_47, X48_48))))))) & ! [Z49_49, S150_50, C151_51, S252_52, C253_53] : (((((iext(uri_rdf_first, S150_50, C151_51) & iext(uri_rdf_rest, S150_50, S252_52)) & iext(uri_rdf_first, S252_52, C253_53)) & iext(uri_rdf_rest, S252_52, uri_rdf_nil)) => (iext(uri_owl_unionOf, Z49_49, S150_50) <=> (((ic(Z49_49) & ic(C151_51)) & ic(C253_53)) & ! [X54_54] : ((icext(Z49_49, X54_54) <=> (icext(C151_51, X54_54) | icext(C253_53, X54_54)))))))) & ! [Z55_55, S156_56, C157_57, S258_58, C259_59, S360_60, C361_61] : (((((((iext(uri_rdf_first, S156_56, C157_57) & iext(uri_rdf_rest, S156_56, S258_58)) & iext(uri_rdf_first, S258_58, C259_59)) & iext(uri_rdf_rest, S258_58, S360_60)) & iext(uri_rdf_first, S360_60, C361_61)) & iext(uri_rdf_rest, S360_60, uri_rdf_nil)) => (iext(uri_owl_unionOf, Z55_55, S156_56) <=> ((((ic(Z55_55) & ic(C157_57)) & ic(C259_59)) & ic(C361_61)) & ! [X62_62] : ((icext(Z55_55, X62_62) <=> ((icext(C157_57, X62_62) | icext(C259_59, X62_62)) | icext(C361_61, X62_62)))))))) & ! [X63_63] : (~icext(uri_owl_Nothing, X63_63)) & ic(uri_owl_Nothing) & ! [X64_64] : ((icext(uri_owl_Thing, X64_64) <=> ir(X64_64))) & ic(uri_owl_Thing) & ! [X65_65] : ((ic(X65_65) => ! [Y66_66] : ((icext(X65_65, Y66_66) => ir(Y66_66))))) & ! [X67_67] : ((ic(X67_67) => ir(X67_67))) & ! [X68_68] : ((ic(X68_68) <=> iext(uri_rdf_type, X68_68, uri_rdfs_Class))) & ! [X69_69] : ((idc(X69_69) => ! [Y70_70] : ((icext(X69_69, Y70_70) => lv(Y70_70))))) & ! [X71_71] : ((idc(X71_71) => ic(X71_71))) & ! [X72_72] : ((idc(X72_72) <=> iext(uri_rdf_type, X72_72, uri_rdfs_Datatype))) & ! [X73_73] : ((ioap(X73_73) => ! [Y74_74, Z75_75] : ((iext(X73_73, Y74_74, Z75_75) => (ir(Y74_74) & ir(Z75_75)))))) & ! [X76_76] : ((ioap(X76_76) => ip(X76_76))) & ! [X77_77] : ((ioap(X77_77) <=> iext(uri_rdf_type, X77_77, uri_owl_AnnotationProperty))) & ! [X78_78] : ((iodp(X78_78) => ! [Y79_79, Z80_80] : ((iext(X78_78, Y79_79, Z80_80) => (ir(Y79_79) & lv(Z80_80)))))) & ! [X81_81] : ((iodp(X81_81) => ip(X81_81))) & ! [X82_82] : ((iodp(X82_82) <=> iext(uri_rdf_type, X82_82, uri_owl_DatatypeProperty))) & ! [X83_83] : ((ioxp(X83_83) => ! [Y84_84, Z85_85] : ((iext(X83_83, Y84_84, Z85_85) => (ix(Y84_84) & ix(Z85_85)))))) & ! [X86_86] : ((ioxp(X86_86) => ip(X86_86))) & ! [X87_87] : ((ioxp(X87_87) <=> iext(uri_rdf_type, X87_87, uri_owl_OntologyProperty))) & ! [X88_88] : ((ip(X88_88) => ! [Y89_89, Z90_90] : ((iext(X88_88, Y89_89, Z90_90) => (ir(Y89_89) & ir(Z90_90)))))) & ! [X91_91] : ((ip(X91_91) => ir(X91_91))) & ! [X92_92] : ((ip(X92_92) <=> iext(uri_rdf_type, X92_92, uri_rdf_Property))) & ? [X93_93] : (ir(X93_93)) & ! [X94_94] : ((ir(X94_94) <=> iext(uri_rdf_type, X94_94, uri_rdfs_Resource))) & ! [X95_95] : ((ix(X95_95) => ir(X95_95))) & ! [X96_96] : ((ix(X96_96) <=> iext(uri_rdf_type, X96_96, uri_owl_Ontology))) & ! [X97_97] : ((lv(X97_97) => ir(X97_97))) & ! [X98_98] : ((lv(X98_98) <=> iext(uri_rdf_type, X98_98, uri_rdfs_Literal))) & ! [X99_99, Y100_100] : ((iext(uri_owl_allValuesFrom, X99_99, Y100_100) => (icext(uri_owl_Restriction, X99_99) & ic(Y100_100)))) & ip(uri_owl_allValuesFrom) & ! [X101_101, Y102_102] : ((iext(uri_owl_complementOf, X101_101, Y102_102) => (ic(X101_101) & ic(Y102_102)))) & ip(uri_owl_complementOf) & ! [X103_103, Y104_104] : ((iext(uri_owl_hasValue, X103_103, Y104_104) => (icext(uri_owl_Restriction, X103_103) & ir(Y104_104)))) & ip(uri_owl_hasValue) & ! [X105_105, Y106_106] : ((iext(uri_owl_intersectionOf, X105_105, Y106_106) => (ic(X105_105) & icext(uri_rdf_List, Y106_106)))) & ip(uri_owl_intersectionOf) & ! [X107_107, Y108_108] : ((iext(uri_owl_onProperty, X107_107, Y108_108) => (icext(uri_owl_Restriction, X107_107) & ip(Y108_108)))) & ip(uri_owl_onProperty) & ! [X109_109, Y110_110] : ((iext(uri_owl_someValuesFrom, X109_109, Y110_110) => (icext(uri_owl_Restriction, X109_109) & ic(Y110_110)))) & ip(uri_owl_someValuesFrom) & ! [X111_111, Y112_112] : ((iext(uri_owl_unionOf, X111_111, Y112_112) => (ic(X111_111) & icext(uri_rdf_List, Y112_112)))) & ip(uri_owl_unionOf) & ! [Z128_128, P129_129, C130_130] : (((iext(uri_owl_allValuesFrom, Z128_128, C130_130) & iext(uri_owl_onProperty, Z128_128, P129_129)) => ! [X131_131] : ((icext(Z128_128, X131_131) <=> ! [Y132_132] : ((iext(P129_129, X131_131, Y132_132) => icext(C130_130, Y132_132))))))) & ! [Z133_133, P134_134, A135_135] : (((iext(uri_owl_hasValue, Z133_133, A135_135) & iext(uri_owl_onProperty, Z133_133, P134_134)) => ! [X136_136] : ((icext(Z133_133, X136_136) <=> iext(P134_134, X136_136, A135_135))))) & ! [Z137_137, P138_138, C139_139] : (((iext(uri_owl_someValuesFrom, Z137_137, C139_139) & iext(uri_owl_onProperty, Z137_137, P138_138)) => ! [X140_140] : ((icext(Z137_137, X140_140) <=> ? [Y141_141] : ((iext(P138_138, X140_140, Y141_141) & icext(C139_139, Y141_141))))))) & iext(uri_rdf_type, uri_rdf_first, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_nil, uri_rdf_List) & iext(uri_rdf_type, uri_rdf_rest, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__1, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__2, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__3, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_object, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_value, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_subject, uri_rdf_Property) & ! [P142_142] : ((iext(uri_rdf_type, P142_142, uri_rdf_Property) <=> ip(P142_142))) & iext(uri_rdf_type, uri_rdf_type, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_type, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_comment, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_comment, uri_rdfs_Literal) & iext(uri_rdfs_domain, uri_rdfs_isDefinedBy, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_isDefinedBy, uri_rdfs_Resource) & iext(uri_rdfs_subPropertyOf, uri_rdfs_isDefinedBy, uri_rdfs_seeAlso) & iext(uri_rdfs_domain, uri_rdfs_label, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_label, uri_rdfs_Literal) & iext(uri_rdfs_domain, uri_rdfs_seeAlso, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_seeAlso, uri_rdfs_Resource) & ! [X143_143, C144_144] : ((iext(uri_rdf_type, X143_143, C144_144) <=> icext(C144_144, X143_143))) & ! [C145_145] : ((ic(C145_145) => iext(uri_rdfs_subClassOf, C145_145, uri_rdfs_Resource))) & iext(uri_rdfs_domain, uri_rdf_first, uri_rdf_List) & iext(uri_rdfs_range, uri_rdf_first, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_rest, uri_rdf_List) & iext(uri_rdfs_range, uri_rdf_rest, uri_rdf_List) & iext(uri_rdfs_subClassOf, uri_rdf_Alt, uri_rdfs_Container) & iext(uri_rdfs_subClassOf, uri_rdf_Bag, uri_rdfs_Container) & ! [P146_146] : ((icext(uri_rdfs_ContainerMembershipProperty, P146_146) => iext(uri_rdfs_subPropertyOf, P146_146, uri_rdfs_member))) & iext(uri_rdfs_subClassOf, uri_rdfs_ContainerMembershipProperty, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_member, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_member, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__1, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__2, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__3, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__1, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__2, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__3, uri_rdfs_Resource) & iext(uri_rdf_type, uri_rdf__1, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdf_type, uri_rdf__2, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdf_type, uri_rdf__3, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdfs_subClassOf, uri_rdfs_Seq, uri_rdfs_Container) & iext(uri_rdfs_subClassOf, uri_rdf_XMLLiteral, uri_rdfs_Literal) & iext(uri_rdf_type, uri_rdf_XMLLiteral, uri_rdfs_Datatype) & ! [D147_147] : ((icext(uri_rdfs_Datatype, D147_147) => iext(uri_rdfs_subClassOf, D147_147, uri_rdfs_Literal))) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) & ! [P148_148, C149_149, X150_150, Y151_151] : (((iext(uri_rdfs_domain, P148_148, C149_149) & iext(P148_148, X150_150, Y151_151)) => icext(C149_149, X150_150))) & iext(uri_rdfs_range, uri_rdfs_domain, uri_rdfs_Class) & ! [X152_152] : ((ic(X152_152) <=> icext(uri_rdfs_Class, X152_152))) & ! [X153_153] : ((ir(X153_153) <=> icext(uri_rdfs_Resource, X153_153))) & ! [X154_154] : ((lv(X154_154) <=> icext(uri_rdfs_Literal, X154_154))) & iext(uri_rdf_type, uri_rdf_Property, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdfs_range, uri_rdf_Property) & ! [P155_155, C156_156, X157_157, Y158_158] : (((iext(uri_rdfs_range, P155_155, C156_156) & iext(P155_155, X157_157, Y158_158)) => icext(C156_156, Y158_158))) & iext(uri_rdfs_range, uri_rdfs_range, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdf_object, uri_rdfs_Statement) & iext(uri_rdfs_range, uri_rdf_predicate, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_predicate, uri_rdfs_Statement) & iext(uri_rdfs_range, uri_rdf_predicate, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_subject, uri_rdfs_Statement) & iext(uri_rdfs_range, uri_rdf_subject, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class) & ! [C159_159, D160_160] : ((iext(uri_rdfs_subClassOf, C159_159, D160_160) => ((ic(C159_159) & ic(D160_160)) & ! [X161_161] : ((icext(C159_159, X161_161) => icext(D160_160, X161_161)))))) & iext(uri_rdfs_range, uri_rdfs_subClassOf, uri_rdfs_Class) & ! [C162_162] : ((ic(C162_162) => iext(uri_rdfs_subClassOf, C162_162, C162_162))) & ! [C163_163, D164_164, E165_165] : (((iext(uri_rdfs_subClassOf, C163_163, D164_164) & iext(uri_rdfs_subClassOf, D164_164, E165_165)) => iext(uri_rdfs_subClassOf, C163_163, E165_165))) & iext(uri_rdfs_domain, uri_rdfs_subPropertyOf, uri_rdf_Property) & ! [P166_166, Q167_167] : ((iext(uri_rdfs_subPropertyOf, P166_166, Q167_167) => ((ip(P166_166) & ip(Q167_167)) & ! [X168_168, Y169_169] : ((iext(P166_166, X168_168, Y169_169) => iext(Q167_167, X168_168, Y169_169)))))) & iext(uri_rdfs_range, uri_rdfs_subPropertyOf, uri_rdf_Property) & ! [P170_170] : ((ip(P170_170) => iext(uri_rdfs_subPropertyOf, P170_170, P170_170))) & ! [P171_171, Q172_172, R173_173] : (((iext(uri_rdfs_subPropertyOf, P171_171, Q172_172) & iext(uri_rdfs_subPropertyOf, Q172_172, R173_173)) => iext(uri_rdfs_subPropertyOf, P171_171, R173_173))) & iext(uri_rdfs_domain, uri_rdf_type, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf_type, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdf_value, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf_value, uri_rdfs_Resource) & ! [S174_174, P175_175, O176_176] : ((iext(P175_175, S174_174, O176_176) => ip(P175_175))) & ! [X177_177] : (ir(X177_177)) & ! [X178_178] : ((lv(X178_178) => ir(X178_178)))), (((iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_r) & iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)) & iext(uri_owl_onProperty, uri_ex_r, uri_ex_p)) & iext(uri_owl_someValuesFrom, uri_ex_r, uri_ex_d)), ~(iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction) & iext(uri_owl_onProperty, uri_ex_r, uri_ex_p))
% 3.89/2.76
% 3.89/2.76 [1] ALPHA_AND : (! [Z20_20, C21_21] : ((iext(uri_owl_complementOf, Z20_20, C21_21) => ((ic(Z20_20) & ic(C21_21)) & ! [X22_22] : ((icext(Z20_20, X22_22) <=> ~icext(C21_21, X22_22)))))) & ! [Z25_25, S126_26, C127_27] : (((iext(uri_rdf_first, S126_26, C127_27) & iext(uri_rdf_rest, S126_26, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z25_25, S126_26) <=> ((ic(Z25_25) & ic(C127_27)) & ! [X28_28] : ((icext(Z25_25, X28_28) <=> icext(C127_27, X28_28))))))) & ! [Z29_29, S130_30, C131_31, S232_32, C233_33] : (((((iext(uri_rdf_first, S130_30, C131_31) & iext(uri_rdf_rest, S130_30, S232_32)) & iext(uri_rdf_first, S232_32, C233_33)) & iext(uri_rdf_rest, S232_32, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z29_29, S130_30) <=> (((ic(Z29_29) & ic(C131_31)) & ic(C233_33)) & ! [X34_34] : ((icext(Z29_29, X34_34) <=> (icext(C131_31, X34_34) & icext(C233_33, X34_34)))))))) & ! [Z35_35, S136_36, C137_37, S238_38, C239_39, S340_40, C341_41] : (((((((iext(uri_rdf_first, S136_36, C137_37) & iext(uri_rdf_rest, S136_36, S238_38)) & iext(uri_rdf_first, S238_38, C239_39)) & iext(uri_rdf_rest, S238_38, S340_40)) & iext(uri_rdf_first, S340_40, C341_41)) & iext(uri_rdf_rest, S340_40, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z35_35, S136_36) <=> ((((ic(Z35_35) & ic(C137_37)) & ic(C239_39)) & ic(C341_41)) & ! [X42_42] : ((icext(Z35_35, X42_42) <=> ((icext(C137_37, X42_42) & icext(C239_39, X42_42)) & icext(C341_41, X42_42)))))))) & ! [Z45_45, S146_46, C147_47] : (((iext(uri_rdf_first, S146_46, C147_47) & iext(uri_rdf_rest, S146_46, uri_rdf_nil)) => (iext(uri_owl_unionOf, Z45_45, S146_46) <=> ((ic(Z45_45) & ic(C147_47)) & ! [X48_48] : ((icext(Z45_45, X48_48) <=> icext(C147_47, X48_48))))))) & ! [Z49_49, S150_50, C151_51, S252_52, C253_53] : (((((iext(uri_rdf_first, S150_50, C151_51) & iext(uri_rdf_rest, S150_50, S252_52)) & iext(uri_rdf_first, S252_52, C253_53)) & iext(uri_rdf_rest, S252_52, uri_rdf_nil)) => (iext(uri_owl_unionOf, Z49_49, S150_50) <=> (((ic(Z49_49) & ic(C151_51)) & ic(C253_53)) & ! [X54_54] : ((icext(Z49_49, X54_54) <=> (icext(C151_51, X54_54) | icext(C253_53, X54_54)))))))) & ! [Z55_55, S156_56, C157_57, S258_58, C259_59, S360_60, C361_61] : (((((((iext(uri_rdf_first, S156_56, C157_57) & iext(uri_rdf_rest, S156_56, S258_58)) & iext(uri_rdf_first, S258_58, C259_59)) & iext(uri_rdf_rest, S258_58, S360_60)) & iext(uri_rdf_first, S360_60, C361_61)) & iext(uri_rdf_rest, S360_60, uri_rdf_nil)) => (iext(uri_owl_unionOf, Z55_55, S156_56) <=> ((((ic(Z55_55) & ic(C157_57)) & ic(C259_59)) & ic(C361_61)) & ! [X62_62] : ((icext(Z55_55, X62_62) <=> ((icext(C157_57, X62_62) | icext(C259_59, X62_62)) | icext(C361_61, X62_62)))))))) & ! [X63_63] : (~icext(uri_owl_Nothing, X63_63)) & ic(uri_owl_Nothing) & ! [X64_64] : ((icext(uri_owl_Thing, X64_64) <=> ir(X64_64))) & ic(uri_owl_Thing) & ! [X65_65] : ((ic(X65_65) => ! [Y66_66] : ((icext(X65_65, Y66_66) => ir(Y66_66))))) & ! [X67_67] : ((ic(X67_67) => ir(X67_67))) & ! [X68_68] : ((ic(X68_68) <=> iext(uri_rdf_type, X68_68, uri_rdfs_Class))) & ! [X69_69] : ((idc(X69_69) => ! [Y70_70] : ((icext(X69_69, Y70_70) => lv(Y70_70))))) & ! [X71_71] : ((idc(X71_71) => ic(X71_71))) & ! [X72_72] : ((idc(X72_72) <=> iext(uri_rdf_type, X72_72, uri_rdfs_Datatype))) & ! [X73_73] : ((ioap(X73_73) => ! [Y74_74, Z75_75] : ((iext(X73_73, Y74_74, Z75_75) => (ir(Y74_74) & ir(Z75_75)))))) & ! [X76_76] : ((ioap(X76_76) => ip(X76_76))) & ! [X77_77] : ((ioap(X77_77) <=> iext(uri_rdf_type, X77_77, uri_owl_AnnotationProperty))) & ! [X78_78] : ((iodp(X78_78) => ! [Y79_79, Z80_80] : ((iext(X78_78, Y79_79, Z80_80) => (ir(Y79_79) & lv(Z80_80)))))) & ! [X81_81] : ((iodp(X81_81) => ip(X81_81))) & ! [X82_82] : ((iodp(X82_82) <=> iext(uri_rdf_type, X82_82, uri_owl_DatatypeProperty))) & ! [X83_83] : ((ioxp(X83_83) => ! [Y84_84, Z85_85] : ((iext(X83_83, Y84_84, Z85_85) => (ix(Y84_84) & ix(Z85_85)))))) & ! [X86_86] : ((ioxp(X86_86) => ip(X86_86))) & ! [X87_87] : ((ioxp(X87_87) <=> iext(uri_rdf_type, X87_87, uri_owl_OntologyProperty))) & ! [X88_88] : ((ip(X88_88) => ! [Y89_89, Z90_90] : ((iext(X88_88, Y89_89, Z90_90) => (ir(Y89_89) & ir(Z90_90)))))) & ! [X91_91] : ((ip(X91_91) => ir(X91_91))) & ! [X92_92] : ((ip(X92_92) <=> iext(uri_rdf_type, X92_92, uri_rdf_Property))) & ? [X93_93] : (ir(X93_93)) & ! [X94_94] : ((ir(X94_94) <=> iext(uri_rdf_type, X94_94, uri_rdfs_Resource))) & ! [X95_95] : ((ix(X95_95) => ir(X95_95))) & ! [X96_96] : ((ix(X96_96) <=> iext(uri_rdf_type, X96_96, uri_owl_Ontology))) & ! [X97_97] : ((lv(X97_97) => ir(X97_97))) & ! [X98_98] : ((lv(X98_98) <=> iext(uri_rdf_type, X98_98, uri_rdfs_Literal))) & ! [X99_99, Y100_100] : ((iext(uri_owl_allValuesFrom, X99_99, Y100_100) => (icext(uri_owl_Restriction, X99_99) & ic(Y100_100)))) & ip(uri_owl_allValuesFrom) & ! [X101_101, Y102_102] : ((iext(uri_owl_complementOf, X101_101, Y102_102) => (ic(X101_101) & ic(Y102_102)))) & ip(uri_owl_complementOf) & ! [X103_103, Y104_104] : ((iext(uri_owl_hasValue, X103_103, Y104_104) => (icext(uri_owl_Restriction, X103_103) & ir(Y104_104)))) & ip(uri_owl_hasValue) & ! [X105_105, Y106_106] : ((iext(uri_owl_intersectionOf, X105_105, Y106_106) => (ic(X105_105) & icext(uri_rdf_List, Y106_106)))) & ip(uri_owl_intersectionOf) & ! [X107_107, Y108_108] : ((iext(uri_owl_onProperty, X107_107, Y108_108) => (icext(uri_owl_Restriction, X107_107) & ip(Y108_108)))) & ip(uri_owl_onProperty) & ! [X109_109, Y110_110] : ((iext(uri_owl_someValuesFrom, X109_109, Y110_110) => (icext(uri_owl_Restriction, X109_109) & ic(Y110_110)))) & ip(uri_owl_someValuesFrom) & ! [X111_111, Y112_112] : ((iext(uri_owl_unionOf, X111_111, Y112_112) => (ic(X111_111) & icext(uri_rdf_List, Y112_112)))) & ip(uri_owl_unionOf) & ! [Z128_128, P129_129, C130_130] : (((iext(uri_owl_allValuesFrom, Z128_128, C130_130) & iext(uri_owl_onProperty, Z128_128, P129_129)) => ! [X131_131] : ((icext(Z128_128, X131_131) <=> ! [Y132_132] : ((iext(P129_129, X131_131, Y132_132) => icext(C130_130, Y132_132))))))) & ! [Z133_133, P134_134, A135_135] : (((iext(uri_owl_hasValue, Z133_133, A135_135) & iext(uri_owl_onProperty, Z133_133, P134_134)) => ! [X136_136] : ((icext(Z133_133, X136_136) <=> iext(P134_134, X136_136, A135_135))))) & ! [Z137_137, P138_138, C139_139] : (((iext(uri_owl_someValuesFrom, Z137_137, C139_139) & iext(uri_owl_onProperty, Z137_137, P138_138)) => ! [X140_140] : ((icext(Z137_137, X140_140) <=> ? [Y141_141] : ((iext(P138_138, X140_140, Y141_141) & icext(C139_139, Y141_141))))))) & iext(uri_rdf_type, uri_rdf_first, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_nil, uri_rdf_List) & iext(uri_rdf_type, uri_rdf_rest, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__1, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__2, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf__3, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_object, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_value, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_subject, uri_rdf_Property) & ! [P142_142] : ((iext(uri_rdf_type, P142_142, uri_rdf_Property) <=> ip(P142_142))) & iext(uri_rdf_type, uri_rdf_type, uri_rdf_Property) & iext(uri_rdf_type, uri_rdf_type, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_comment, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_comment, uri_rdfs_Literal) & iext(uri_rdfs_domain, uri_rdfs_isDefinedBy, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_isDefinedBy, uri_rdfs_Resource) & iext(uri_rdfs_subPropertyOf, uri_rdfs_isDefinedBy, uri_rdfs_seeAlso) & iext(uri_rdfs_domain, uri_rdfs_label, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_label, uri_rdfs_Literal) & iext(uri_rdfs_domain, uri_rdfs_seeAlso, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_seeAlso, uri_rdfs_Resource) & ! [X143_143, C144_144] : ((iext(uri_rdf_type, X143_143, C144_144) <=> icext(C144_144, X143_143))) & ! [C145_145] : ((ic(C145_145) => iext(uri_rdfs_subClassOf, C145_145, uri_rdfs_Resource))) & iext(uri_rdfs_domain, uri_rdf_first, uri_rdf_List) & iext(uri_rdfs_range, uri_rdf_first, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_rest, uri_rdf_List) & iext(uri_rdfs_range, uri_rdf_rest, uri_rdf_List) & iext(uri_rdfs_subClassOf, uri_rdf_Alt, uri_rdfs_Container) & iext(uri_rdfs_subClassOf, uri_rdf_Bag, uri_rdfs_Container) & ! [P146_146] : ((icext(uri_rdfs_ContainerMembershipProperty, P146_146) => iext(uri_rdfs_subPropertyOf, P146_146, uri_rdfs_member))) & iext(uri_rdfs_subClassOf, uri_rdfs_ContainerMembershipProperty, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_member, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdfs_member, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__1, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__2, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf__3, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__1, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__2, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf__3, uri_rdfs_Resource) & iext(uri_rdf_type, uri_rdf__1, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdf_type, uri_rdf__2, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdf_type, uri_rdf__3, uri_rdfs_ContainerMembershipProperty) & iext(uri_rdfs_subClassOf, uri_rdfs_Seq, uri_rdfs_Container) & iext(uri_rdfs_subClassOf, uri_rdf_XMLLiteral, uri_rdfs_Literal) & iext(uri_rdf_type, uri_rdf_XMLLiteral, uri_rdfs_Datatype) & ! [D147_147] : ((icext(uri_rdfs_Datatype, D147_147) => iext(uri_rdfs_subClassOf, D147_147, uri_rdfs_Literal))) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) & ! [P148_148, C149_149, X150_150, Y151_151] : (((iext(uri_rdfs_domain, P148_148, C149_149) & iext(P148_148, X150_150, Y151_151)) => icext(C149_149, X150_150))) & iext(uri_rdfs_range, uri_rdfs_domain, uri_rdfs_Class) & ! [X152_152] : ((ic(X152_152) <=> icext(uri_rdfs_Class, X152_152))) & ! [X153_153] : ((ir(X153_153) <=> icext(uri_rdfs_Resource, X153_153))) & ! [X154_154] : ((lv(X154_154) <=> icext(uri_rdfs_Literal, X154_154))) & iext(uri_rdf_type, uri_rdf_Property, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdfs_range, uri_rdf_Property) & ! [P155_155, C156_156, X157_157, Y158_158] : (((iext(uri_rdfs_range, P155_155, C156_156) & iext(P155_155, X157_157, Y158_158)) => icext(C156_156, Y158_158))) & iext(uri_rdfs_range, uri_rdfs_range, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdf_object, uri_rdfs_Statement) & iext(uri_rdfs_range, uri_rdf_predicate, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_predicate, uri_rdfs_Statement) & iext(uri_rdfs_range, uri_rdf_predicate, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdf_subject, uri_rdfs_Statement) & iext(uri_rdfs_range, uri_rdf_subject, uri_rdfs_Resource) & iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class) & ! [C159_159, D160_160] : ((iext(uri_rdfs_subClassOf, C159_159, D160_160) => ((ic(C159_159) & ic(D160_160)) & ! [X161_161] : ((icext(C159_159, X161_161) => icext(D160_160, X161_161)))))) & iext(uri_rdfs_range, uri_rdfs_subClassOf, uri_rdfs_Class) & ! [C162_162] : ((ic(C162_162) => iext(uri_rdfs_subClassOf, C162_162, C162_162))) & ! [C163_163, D164_164, E165_165] : (((iext(uri_rdfs_subClassOf, C163_163, D164_164) & iext(uri_rdfs_subClassOf, D164_164, E165_165)) => iext(uri_rdfs_subClassOf, C163_163, E165_165))) & iext(uri_rdfs_domain, uri_rdfs_subPropertyOf, uri_rdf_Property) & ! [P166_166, Q167_167] : ((iext(uri_rdfs_subPropertyOf, P166_166, Q167_167) => ((ip(P166_166) & ip(Q167_167)) & ! [X168_168, Y169_169] : ((iext(P166_166, X168_168, Y169_169) => iext(Q167_167, X168_168, Y169_169)))))) & iext(uri_rdfs_range, uri_rdfs_subPropertyOf, uri_rdf_Property) & ! [P170_170] : ((ip(P170_170) => iext(uri_rdfs_subPropertyOf, P170_170, P170_170))) & ! [P171_171, Q172_172, R173_173] : (((iext(uri_rdfs_subPropertyOf, P171_171, Q172_172) & iext(uri_rdfs_subPropertyOf, Q172_172, R173_173)) => iext(uri_rdfs_subPropertyOf, P171_171, R173_173))) & iext(uri_rdfs_domain, uri_rdf_type, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf_type, uri_rdfs_Class) & iext(uri_rdfs_domain, uri_rdf_value, uri_rdfs_Resource) & iext(uri_rdfs_range, uri_rdf_value, uri_rdfs_Resource) & ! [S174_174, P175_175, O176_176] : ((iext(P175_175, S174_174, O176_176) => ip(P175_175))) & ! [X177_177] : (ir(X177_177)) & ! [X178_178] : ((lv(X178_178) => ir(X178_178))))
% 3.89/2.76 -> [2] ! [Z20_20, C21_21] : ((iext(uri_owl_complementOf, Z20_20, C21_21) => ((ic(Z20_20) & ic(C21_21)) & ! [X22_22] : ((icext(Z20_20, X22_22) <=> ~icext(C21_21, X22_22)))))), ! [Z25_25, S126_26, C127_27] : (((iext(uri_rdf_first, S126_26, C127_27) & iext(uri_rdf_rest, S126_26, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z25_25, S126_26) <=> ((ic(Z25_25) & ic(C127_27)) & ! [X28_28] : ((icext(Z25_25, X28_28) <=> icext(C127_27, X28_28))))))), ! [Z29_29, S130_30, C131_31, S232_32, C233_33] : (((((iext(uri_rdf_first, S130_30, C131_31) & iext(uri_rdf_rest, S130_30, S232_32)) & iext(uri_rdf_first, S232_32, C233_33)) & iext(uri_rdf_rest, S232_32, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z29_29, S130_30) <=> (((ic(Z29_29) & ic(C131_31)) & ic(C233_33)) & ! [X34_34] : ((icext(Z29_29, X34_34) <=> (icext(C131_31, X34_34) & icext(C233_33, X34_34)))))))), ! [Z35_35, S136_36, C137_37, S238_38, C239_39, S340_40, C341_41] : (((((((iext(uri_rdf_first, S136_36, C137_37) & iext(uri_rdf_rest, S136_36, S238_38)) & iext(uri_rdf_first, S238_38, C239_39)) & iext(uri_rdf_rest, S238_38, S340_40)) & iext(uri_rdf_first, S340_40, C341_41)) & iext(uri_rdf_rest, S340_40, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z35_35, S136_36) <=> ((((ic(Z35_35) & ic(C137_37)) & ic(C239_39)) & ic(C341_41)) & ! [X42_42] : ((icext(Z35_35, X42_42) <=> ((icext(C137_37, X42_42) & icext(C239_39, X42_42)) & icext(C341_41, X42_42)))))))), ! [Z45_45, S146_46, C147_47] : (((iext(uri_rdf_first, S146_46, C147_47) & iext(uri_rdf_rest, S146_46, uri_rdf_nil)) => (iext(uri_owl_unionOf, Z45_45, S146_46) <=> ((ic(Z45_45) & ic(C147_47)) & ! [X48_48] : ((icext(Z45_45, X48_48) <=> icext(C147_47, X48_48))))))), ! [Z49_49, S150_50, C151_51, S252_52, C253_53] : (((((iext(uri_rdf_first, S150_50, C151_51) & iext(uri_rdf_rest, S150_50, S252_52)) & iext(uri_rdf_first, S252_52, C253_53)) & iext(uri_rdf_rest, S252_52, uri_rdf_nil)) => (iext(uri_owl_unionOf, Z49_49, S150_50) <=> (((ic(Z49_49) & ic(C151_51)) & ic(C253_53)) & ! [X54_54] : ((icext(Z49_49, X54_54) <=> (icext(C151_51, X54_54) | icext(C253_53, X54_54)))))))), ! [Z55_55, S156_56, C157_57, S258_58, C259_59, S360_60, C361_61] : (((((((iext(uri_rdf_first, S156_56, C157_57) & iext(uri_rdf_rest, S156_56, S258_58)) & iext(uri_rdf_first, S258_58, C259_59)) & iext(uri_rdf_rest, S258_58, S360_60)) & iext(uri_rdf_first, S360_60, C361_61)) & iext(uri_rdf_rest, S360_60, uri_rdf_nil)) => (iext(uri_owl_unionOf, Z55_55, S156_56) <=> ((((ic(Z55_55) & ic(C157_57)) & ic(C259_59)) & ic(C361_61)) & ! [X62_62] : ((icext(Z55_55, X62_62) <=> ((icext(C157_57, X62_62) | icext(C259_59, X62_62)) | icext(C361_61, X62_62)))))))), ! [X63_63] : (~icext(uri_owl_Nothing, X63_63)), ic(uri_owl_Nothing), ! [X64_64] : ((icext(uri_owl_Thing, X64_64) <=> ir(X64_64))), ic(uri_owl_Thing), ! [X65_65] : ((ic(X65_65) => ! [Y66_66] : ((icext(X65_65, Y66_66) => ir(Y66_66))))), ! [X67_67] : ((ic(X67_67) => ir(X67_67))), ! [X68_68] : ((ic(X68_68) <=> iext(uri_rdf_type, X68_68, uri_rdfs_Class))), ! [X69_69] : ((idc(X69_69) => ! [Y70_70] : ((icext(X69_69, Y70_70) => lv(Y70_70))))), ! [X71_71] : ((idc(X71_71) => ic(X71_71))), ! [X72_72] : ((idc(X72_72) <=> iext(uri_rdf_type, X72_72, uri_rdfs_Datatype))), ! [X73_73] : ((ioap(X73_73) => ! [Y74_74, Z75_75] : ((iext(X73_73, Y74_74, Z75_75) => (ir(Y74_74) & ir(Z75_75)))))), ! [X76_76] : ((ioap(X76_76) => ip(X76_76))), ! [X77_77] : ((ioap(X77_77) <=> iext(uri_rdf_type, X77_77, uri_owl_AnnotationProperty))), ! [X78_78] : ((iodp(X78_78) => ! [Y79_79, Z80_80] : ((iext(X78_78, Y79_79, Z80_80) => (ir(Y79_79) & lv(Z80_80)))))), ! [X81_81] : ((iodp(X81_81) => ip(X81_81))), ! [X82_82] : ((iodp(X82_82) <=> iext(uri_rdf_type, X82_82, uri_owl_DatatypeProperty))), ! [X83_83] : ((ioxp(X83_83) => ! [Y84_84, Z85_85] : ((iext(X83_83, Y84_84, Z85_85) => (ix(Y84_84) & ix(Z85_85)))))), ! [X86_86] : ((ioxp(X86_86) => ip(X86_86))), ! [X87_87] : ((ioxp(X87_87) <=> iext(uri_rdf_type, X87_87, uri_owl_OntologyProperty))), ! [X88_88] : ((ip(X88_88) => ! [Y89_89, Z90_90] : ((iext(X88_88, Y89_89, Z90_90) => (ir(Y89_89) & ir(Z90_90)))))), ! [X91_91] : ((ip(X91_91) => ir(X91_91))), ! [X92_92] : ((ip(X92_92) <=> iext(uri_rdf_type, X92_92, uri_rdf_Property))), ? [X93_93] : (ir(X93_93)), ! [X94_94] : ((ir(X94_94) <=> iext(uri_rdf_type, X94_94, uri_rdfs_Resource))), ! [X95_95] : ((ix(X95_95) => ir(X95_95))), ! [X96_96] : ((ix(X96_96) <=> iext(uri_rdf_type, X96_96, uri_owl_Ontology))), ! [X97_97] : ((lv(X97_97) => ir(X97_97))), ! [X98_98] : ((lv(X98_98) <=> iext(uri_rdf_type, X98_98, uri_rdfs_Literal))), ! [X99_99, Y100_100] : ((iext(uri_owl_allValuesFrom, X99_99, Y100_100) => (icext(uri_owl_Restriction, X99_99) & ic(Y100_100)))), ip(uri_owl_allValuesFrom), ! [X101_101, Y102_102] : ((iext(uri_owl_complementOf, X101_101, Y102_102) => (ic(X101_101) & ic(Y102_102)))), ip(uri_owl_complementOf), ! [X103_103, Y104_104] : ((iext(uri_owl_hasValue, X103_103, Y104_104) => (icext(uri_owl_Restriction, X103_103) & ir(Y104_104)))), ip(uri_owl_hasValue), ! [X105_105, Y106_106] : ((iext(uri_owl_intersectionOf, X105_105, Y106_106) => (ic(X105_105) & icext(uri_rdf_List, Y106_106)))), ip(uri_owl_intersectionOf), ! [X107_107, Y108_108] : ((iext(uri_owl_onProperty, X107_107, Y108_108) => (icext(uri_owl_Restriction, X107_107) & ip(Y108_108)))), ip(uri_owl_onProperty), ! [X109_109, Y110_110] : ((iext(uri_owl_someValuesFrom, X109_109, Y110_110) => (icext(uri_owl_Restriction, X109_109) & ic(Y110_110)))), ip(uri_owl_someValuesFrom), ! [X111_111, Y112_112] : ((iext(uri_owl_unionOf, X111_111, Y112_112) => (ic(X111_111) & icext(uri_rdf_List, Y112_112)))), ip(uri_owl_unionOf), ! [Z128_128, P129_129, C130_130] : (((iext(uri_owl_allValuesFrom, Z128_128, C130_130) & iext(uri_owl_onProperty, Z128_128, P129_129)) => ! [X131_131] : ((icext(Z128_128, X131_131) <=> ! [Y132_132] : ((iext(P129_129, X131_131, Y132_132) => icext(C130_130, Y132_132))))))), ! [Z133_133, P134_134, A135_135] : (((iext(uri_owl_hasValue, Z133_133, A135_135) & iext(uri_owl_onProperty, Z133_133, P134_134)) => ! [X136_136] : ((icext(Z133_133, X136_136) <=> iext(P134_134, X136_136, A135_135))))), ! [Z137_137, P138_138, C139_139] : (((iext(uri_owl_someValuesFrom, Z137_137, C139_139) & iext(uri_owl_onProperty, Z137_137, P138_138)) => ! [X140_140] : ((icext(Z137_137, X140_140) <=> ? [Y141_141] : ((iext(P138_138, X140_140, Y141_141) & icext(C139_139, Y141_141))))))), iext(uri_rdf_type, uri_rdf_first, uri_rdf_Property), iext(uri_rdf_type, uri_rdf_nil, uri_rdf_List), iext(uri_rdf_type, uri_rdf_rest, uri_rdf_Property), iext(uri_rdf_type, uri_rdf__1, uri_rdf_Property), iext(uri_rdf_type, uri_rdf__2, uri_rdf_Property), iext(uri_rdf_type, uri_rdf__3, uri_rdf_Property), iext(uri_rdf_type, uri_rdf_object, uri_rdf_Property), iext(uri_rdf_type, uri_rdf_value, uri_rdf_Property), iext(uri_rdf_type, uri_rdf_subject, uri_rdf_Property), ! [P142_142] : ((iext(uri_rdf_type, P142_142, uri_rdf_Property) <=> ip(P142_142))), iext(uri_rdf_type, uri_rdf_type, uri_rdf_Property), iext(uri_rdfs_domain, uri_rdfs_comment, uri_rdfs_Resource), iext(uri_rdfs_range, uri_rdfs_comment, uri_rdfs_Literal), iext(uri_rdfs_domain, uri_rdfs_isDefinedBy, uri_rdfs_Resource), iext(uri_rdfs_range, uri_rdfs_isDefinedBy, uri_rdfs_Resource), iext(uri_rdfs_subPropertyOf, uri_rdfs_isDefinedBy, uri_rdfs_seeAlso), iext(uri_rdfs_domain, uri_rdfs_label, uri_rdfs_Resource), iext(uri_rdfs_range, uri_rdfs_label, uri_rdfs_Literal), iext(uri_rdfs_domain, uri_rdfs_seeAlso, uri_rdfs_Resource), iext(uri_rdfs_range, uri_rdfs_seeAlso, uri_rdfs_Resource), ! [X143_143, C144_144] : ((iext(uri_rdf_type, X143_143, C144_144) <=> icext(C144_144, X143_143))), ! [C145_145] : ((ic(C145_145) => iext(uri_rdfs_subClassOf, C145_145, uri_rdfs_Resource))), iext(uri_rdfs_domain, uri_rdf_first, uri_rdf_List), iext(uri_rdfs_range, uri_rdf_first, uri_rdfs_Resource), iext(uri_rdfs_domain, uri_rdf_rest, uri_rdf_List), iext(uri_rdfs_range, uri_rdf_rest, uri_rdf_List), iext(uri_rdfs_subClassOf, uri_rdf_Alt, uri_rdfs_Container), iext(uri_rdfs_subClassOf, uri_rdf_Bag, uri_rdfs_Container), ! [P146_146] : ((icext(uri_rdfs_ContainerMembershipProperty, P146_146) => iext(uri_rdfs_subPropertyOf, P146_146, uri_rdfs_member))), iext(uri_rdfs_subClassOf, uri_rdfs_ContainerMembershipProperty, uri_rdf_Property), iext(uri_rdfs_domain, uri_rdfs_member, uri_rdfs_Resource), iext(uri_rdfs_range, uri_rdfs_member, uri_rdfs_Resource), iext(uri_rdfs_domain, uri_rdf__1, uri_rdfs_Resource), iext(uri_rdfs_domain, uri_rdf__2, uri_rdfs_Resource), iext(uri_rdfs_domain, uri_rdf__3, uri_rdfs_Resource), iext(uri_rdfs_range, uri_rdf__1, uri_rdfs_Resource), iext(uri_rdfs_range, uri_rdf__2, uri_rdfs_Resource), iext(uri_rdfs_range, uri_rdf__3, uri_rdfs_Resource), iext(uri_rdf_type, uri_rdf__1, uri_rdfs_ContainerMembershipProperty), iext(uri_rdf_type, uri_rdf__2, uri_rdfs_ContainerMembershipProperty), iext(uri_rdf_type, uri_rdf__3, uri_rdfs_ContainerMembershipProperty), iext(uri_rdfs_subClassOf, uri_rdfs_Seq, uri_rdfs_Container), iext(uri_rdfs_subClassOf, uri_rdf_XMLLiteral, uri_rdfs_Literal), iext(uri_rdf_type, uri_rdf_XMLLiteral, uri_rdfs_Datatype), ! [D147_147] : ((icext(uri_rdfs_Datatype, D147_147) => iext(uri_rdfs_subClassOf, D147_147, uri_rdfs_Literal))), iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_rdfs_Class), iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property), ! [P148_148, C149_149, X150_150, Y151_151] : (((iext(uri_rdfs_domain, P148_148, C149_149) & iext(P148_148, X150_150, Y151_151)) => icext(C149_149, X150_150))), iext(uri_rdfs_range, uri_rdfs_domain, uri_rdfs_Class), ! [X152_152] : ((ic(X152_152) <=> icext(uri_rdfs_Class, X152_152))), ! [X153_153] : ((ir(X153_153) <=> icext(uri_rdfs_Resource, X153_153))), ! [X154_154] : ((lv(X154_154) <=> icext(uri_rdfs_Literal, X154_154))), iext(uri_rdf_type, uri_rdf_Property, uri_rdfs_Class), iext(uri_rdfs_domain, uri_rdfs_range, uri_rdf_Property), ! [P155_155, C156_156, X157_157, Y158_158] : (((iext(uri_rdfs_range, P155_155, C156_156) & iext(P155_155, X157_157, Y158_158)) => icext(C156_156, Y158_158))), iext(uri_rdfs_range, uri_rdfs_range, uri_rdfs_Class), iext(uri_rdfs_domain, uri_rdf_object, uri_rdfs_Statement), iext(uri_rdfs_range, uri_rdf_predicate, uri_rdfs_Resource), iext(uri_rdfs_domain, uri_rdf_predicate, uri_rdfs_Statement), iext(uri_rdfs_domain, uri_rdf_subject, uri_rdfs_Statement), iext(uri_rdfs_range, uri_rdf_subject, uri_rdfs_Resource), iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class), ! [C159_159, D160_160] : ((iext(uri_rdfs_subClassOf, C159_159, D160_160) => ((ic(C159_159) & ic(D160_160)) & ! [X161_161] : ((icext(C159_159, X161_161) => icext(D160_160, X161_161)))))), iext(uri_rdfs_range, uri_rdfs_subClassOf, uri_rdfs_Class), ! [C162_162] : ((ic(C162_162) => iext(uri_rdfs_subClassOf, C162_162, C162_162))), ! [C163_163, D164_164, E165_165] : (((iext(uri_rdfs_subClassOf, C163_163, D164_164) & iext(uri_rdfs_subClassOf, D164_164, E165_165)) => iext(uri_rdfs_subClassOf, C163_163, E165_165))), iext(uri_rdfs_domain, uri_rdfs_subPropertyOf, uri_rdf_Property), ! [P166_166, Q167_167] : ((iext(uri_rdfs_subPropertyOf, P166_166, Q167_167) => ((ip(P166_166) & ip(Q167_167)) & ! [X168_168, Y169_169] : ((iext(P166_166, X168_168, Y169_169) => iext(Q167_167, X168_168, Y169_169)))))), iext(uri_rdfs_range, uri_rdfs_subPropertyOf, uri_rdf_Property), ! [P170_170] : ((ip(P170_170) => iext(uri_rdfs_subPropertyOf, P170_170, P170_170))), ! [P171_171, Q172_172, R173_173] : (((iext(uri_rdfs_subPropertyOf, P171_171, Q172_172) & iext(uri_rdfs_subPropertyOf, Q172_172, R173_173)) => iext(uri_rdfs_subPropertyOf, P171_171, R173_173))), iext(uri_rdfs_domain, uri_rdf_type, uri_rdfs_Resource), iext(uri_rdfs_range, uri_rdf_type, uri_rdfs_Class), iext(uri_rdfs_domain, uri_rdf_value, uri_rdfs_Resource), iext(uri_rdfs_range, uri_rdf_value, uri_rdfs_Resource), ! [S174_174, P175_175, O176_176] : ((iext(P175_175, S174_174, O176_176) => ip(P175_175))), ! [X177_177] : (ir(X177_177)), ! [X178_178] : ((lv(X178_178) => ir(X178_178)))
% 3.89/2.76
% 3.89/2.76 [2] Rewrite : iext(uri_rdfs_domain, uri_rdfs_comment, uri_rdfs_Resource)
% 3.89/2.76 -> [3] ((ip(uri_rdfs_comment) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_comment, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76
% 3.89/2.76 [3] Rewrite : iext(uri_rdfs_range, uri_rdfs_comment, uri_rdfs_Literal)
% 3.89/2.76 -> [4] ((ip(uri_rdfs_comment) & ip(uri_rdfs_Literal)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_comment, X119_119, Y120_120) => icext(uri_rdfs_Literal, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [4] Rewrite : iext(uri_rdfs_domain, uri_rdfs_isDefinedBy, uri_rdfs_Resource)
% 3.89/2.76 -> [5] ((ip(uri_rdfs_isDefinedBy) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_isDefinedBy, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76
% 3.89/2.76 [5] Rewrite : iext(uri_rdfs_range, uri_rdfs_isDefinedBy, uri_rdfs_Resource)
% 3.89/2.76 -> [6] ((ip(uri_rdfs_isDefinedBy) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_isDefinedBy, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [6] Rewrite : iext(uri_rdfs_subPropertyOf, uri_rdfs_isDefinedBy, uri_rdfs_seeAlso)
% 3.89/2.76 -> [7] ((ip(uri_rdfs_isDefinedBy) & ip(uri_rdfs_seeAlso)) & ! [X126_126, Y127_127] : ((iext(uri_rdfs_isDefinedBy, X126_126, Y127_127) => iext(uri_rdfs_seeAlso, X126_126, Y127_127))))
% 3.89/2.76
% 3.89/2.76 [7] Rewrite : iext(uri_rdfs_domain, uri_rdfs_label, uri_rdfs_Resource)
% 3.89/2.76 -> [8] ((ip(uri_rdfs_label) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_label, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76
% 3.89/2.76 [8] Rewrite : iext(uri_rdfs_range, uri_rdfs_label, uri_rdfs_Literal)
% 3.89/2.76 -> [9] ((ip(uri_rdfs_label) & ip(uri_rdfs_Literal)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_label, X119_119, Y120_120) => icext(uri_rdfs_Literal, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [9] Rewrite : iext(uri_rdfs_domain, uri_rdfs_seeAlso, uri_rdfs_Resource)
% 3.89/2.76 -> [10] ((ip(uri_rdfs_seeAlso) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_seeAlso, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76
% 3.89/2.76 [10] Rewrite : iext(uri_rdfs_range, uri_rdfs_seeAlso, uri_rdfs_Resource)
% 3.89/2.76 -> [11] ((ip(uri_rdfs_seeAlso) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_seeAlso, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [11] Rewrite : iext(uri_rdfs_domain, uri_rdf_first, uri_rdf_List)
% 3.89/2.76 -> [12] ((ip(uri_rdf_first) & ic(uri_rdf_List)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_first, X115_115, Y116_116) => icext(uri_rdf_List, X115_115))))
% 3.89/2.76
% 3.89/2.76 [12] Rewrite : iext(uri_rdfs_range, uri_rdf_first, uri_rdfs_Resource)
% 3.89/2.76 -> [13] ((ip(uri_rdf_first) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_first, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [13] Rewrite : iext(uri_rdfs_domain, uri_rdf_rest, uri_rdf_List)
% 3.89/2.76 -> [14] ((ip(uri_rdf_rest) & ic(uri_rdf_List)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_rest, X115_115, Y116_116) => icext(uri_rdf_List, X115_115))))
% 3.89/2.76
% 3.89/2.76 [14] Rewrite : iext(uri_rdfs_range, uri_rdf_rest, uri_rdf_List)
% 3.89/2.76 -> [15] ((ip(uri_rdf_rest) & ip(uri_rdf_List)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_rest, X119_119, Y120_120) => icext(uri_rdf_List, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [15] Rewrite : iext(uri_rdfs_subClassOf, uri_rdf_Alt, uri_rdfs_Container)
% 3.89/2.76 -> [16] ((ic(uri_rdf_Alt) & ic(uri_rdfs_Container)) & ! [X123_123] : ((icext(uri_rdf_Alt, X123_123) => icext(uri_rdfs_Container, X123_123))))
% 3.89/2.76
% 3.89/2.76 [16] Rewrite : iext(uri_rdfs_subClassOf, uri_rdf_Bag, uri_rdfs_Container)
% 3.89/2.76 -> [17] ((ic(uri_rdf_Bag) & ic(uri_rdfs_Container)) & ! [X123_123] : ((icext(uri_rdf_Bag, X123_123) => icext(uri_rdfs_Container, X123_123))))
% 3.89/2.76
% 3.89/2.76 [17] Rewrite : iext(uri_rdfs_subClassOf, uri_rdfs_ContainerMembershipProperty, uri_rdf_Property)
% 3.89/2.76 -> [18] ((ic(uri_rdfs_ContainerMembershipProperty) & ic(uri_rdf_Property)) & ! [X123_123] : ((icext(uri_rdfs_ContainerMembershipProperty, X123_123) => icext(uri_rdf_Property, X123_123))))
% 3.89/2.76
% 3.89/2.76 [18] Rewrite : iext(uri_rdfs_domain, uri_rdfs_member, uri_rdfs_Resource)
% 3.89/2.76 -> [19] ((ip(uri_rdfs_member) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_member, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76
% 3.89/2.76 [19] Rewrite : iext(uri_rdfs_range, uri_rdfs_member, uri_rdfs_Resource)
% 3.89/2.76 -> [20] ((ip(uri_rdfs_member) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_member, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [20] Rewrite : iext(uri_rdfs_domain, uri_rdf__1, uri_rdfs_Resource)
% 3.89/2.76 -> [21] ((ip(uri_rdf__1) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdf__1, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76
% 3.89/2.76 [21] Rewrite : iext(uri_rdfs_domain, uri_rdf__2, uri_rdfs_Resource)
% 3.89/2.76 -> [22] ((ip(uri_rdf__2) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdf__2, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76
% 3.89/2.76 [22] Rewrite : iext(uri_rdfs_domain, uri_rdf__3, uri_rdfs_Resource)
% 3.89/2.76 -> [23] ((ip(uri_rdf__3) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdf__3, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76
% 3.89/2.76 [23] Rewrite : iext(uri_rdfs_range, uri_rdf__1, uri_rdfs_Resource)
% 3.89/2.76 -> [24] ((ip(uri_rdf__1) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf__1, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [24] Rewrite : iext(uri_rdfs_range, uri_rdf__2, uri_rdfs_Resource)
% 3.89/2.76 -> [25] ((ip(uri_rdf__2) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf__2, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [25] Rewrite : iext(uri_rdfs_range, uri_rdf__3, uri_rdfs_Resource)
% 3.89/2.76 -> [26] ((ip(uri_rdf__3) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf__3, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [26] Rewrite : iext(uri_rdfs_subClassOf, uri_rdfs_Seq, uri_rdfs_Container)
% 3.89/2.76 -> [27] ((ic(uri_rdfs_Seq) & ic(uri_rdfs_Container)) & ! [X123_123] : ((icext(uri_rdfs_Seq, X123_123) => icext(uri_rdfs_Container, X123_123))))
% 3.89/2.76
% 3.89/2.76 [27] Rewrite : iext(uri_rdfs_subClassOf, uri_rdf_XMLLiteral, uri_rdfs_Literal)
% 3.89/2.76 -> [28] ((ic(uri_rdf_XMLLiteral) & ic(uri_rdfs_Literal)) & ! [X123_123] : ((icext(uri_rdf_XMLLiteral, X123_123) => icext(uri_rdfs_Literal, X123_123))))
% 3.89/2.76
% 3.89/2.76 [28] Rewrite : iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_rdfs_Class)
% 3.89/2.76 -> [29] ((ic(uri_rdfs_Datatype) & ic(uri_rdfs_Class)) & ! [X123_123] : ((icext(uri_rdfs_Datatype, X123_123) => icext(uri_rdfs_Class, X123_123))))
% 3.89/2.76
% 3.89/2.76 [29] Rewrite : iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property)
% 3.89/2.76 -> [30] ((ip(uri_rdfs_domain) & ic(uri_rdf_Property)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_domain, X115_115, Y116_116) => icext(uri_rdf_Property, X115_115))))
% 3.89/2.76
% 3.89/2.76 [30] Rewrite : iext(uri_rdfs_range, uri_rdfs_domain, uri_rdfs_Class)
% 3.89/2.76 -> [31] ((ip(uri_rdfs_domain) & ip(uri_rdfs_Class)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_domain, X119_119, Y120_120) => icext(uri_rdfs_Class, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [31] Rewrite : iext(uri_rdfs_domain, uri_rdfs_range, uri_rdf_Property)
% 3.89/2.76 -> [32] ((ip(uri_rdfs_range) & ic(uri_rdf_Property)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_range, X115_115, Y116_116) => icext(uri_rdf_Property, X115_115))))
% 3.89/2.76
% 3.89/2.76 [32] Rewrite : iext(uri_rdfs_range, uri_rdfs_range, uri_rdfs_Class)
% 3.89/2.76 -> [33] ((ip(uri_rdfs_range) & ip(uri_rdfs_Class)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_range, X119_119, Y120_120) => icext(uri_rdfs_Class, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [33] Rewrite : iext(uri_rdfs_domain, uri_rdf_object, uri_rdfs_Statement)
% 3.89/2.76 -> [34] ((ip(uri_rdf_object) & ic(uri_rdfs_Statement)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_object, X115_115, Y116_116) => icext(uri_rdfs_Statement, X115_115))))
% 3.89/2.76
% 3.89/2.76 [34] Rewrite : iext(uri_rdfs_range, uri_rdf_predicate, uri_rdfs_Resource)
% 3.89/2.76 -> [35] ((ip(uri_rdf_predicate) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_predicate, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [35] Rewrite : iext(uri_rdfs_domain, uri_rdf_predicate, uri_rdfs_Statement)
% 3.89/2.76 -> [36] ((ip(uri_rdf_predicate) & ic(uri_rdfs_Statement)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_predicate, X115_115, Y116_116) => icext(uri_rdfs_Statement, X115_115))))
% 3.89/2.76
% 3.89/2.76 [36] Rewrite : iext(uri_rdfs_range, uri_rdf_predicate, uri_rdfs_Resource)
% 3.89/2.76 -> [37] ((ip(uri_rdf_predicate) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_predicate, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [37] Rewrite : iext(uri_rdfs_domain, uri_rdf_subject, uri_rdfs_Statement)
% 3.89/2.76 -> [38] ((ip(uri_rdf_subject) & ic(uri_rdfs_Statement)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_subject, X115_115, Y116_116) => icext(uri_rdfs_Statement, X115_115))))
% 3.89/2.76
% 3.89/2.76 [38] Rewrite : iext(uri_rdfs_range, uri_rdf_subject, uri_rdfs_Resource)
% 3.89/2.76 -> [39] ((ip(uri_rdf_subject) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_subject, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [39] Rewrite : iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class)
% 3.89/2.76 -> [40] ((ip(uri_rdfs_subClassOf) & ic(uri_rdfs_Class)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_subClassOf, X115_115, Y116_116) => icext(uri_rdfs_Class, X115_115))))
% 3.89/2.76
% 3.89/2.76 [40] Rewrite : iext(uri_rdfs_range, uri_rdfs_subClassOf, uri_rdfs_Class)
% 3.89/2.76 -> [41] ((ip(uri_rdfs_subClassOf) & ip(uri_rdfs_Class)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_subClassOf, X119_119, Y120_120) => icext(uri_rdfs_Class, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [41] Rewrite : iext(uri_rdfs_domain, uri_rdfs_subPropertyOf, uri_rdf_Property)
% 3.89/2.76 -> [42] ((ip(uri_rdfs_subPropertyOf) & ic(uri_rdf_Property)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_subPropertyOf, X115_115, Y116_116) => icext(uri_rdf_Property, X115_115))))
% 3.89/2.76
% 3.89/2.76 [42] Rewrite : iext(uri_rdfs_range, uri_rdfs_subPropertyOf, uri_rdf_Property)
% 3.89/2.76 -> [43] ((ip(uri_rdfs_subPropertyOf) & ip(uri_rdf_Property)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_subPropertyOf, X119_119, Y120_120) => icext(uri_rdf_Property, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [43] Rewrite : iext(uri_rdfs_domain, uri_rdf_type, uri_rdfs_Resource)
% 3.89/2.76 -> [44] ((ip(uri_rdf_type) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_type, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76
% 3.89/2.76 [44] Rewrite : iext(uri_rdfs_range, uri_rdf_type, uri_rdfs_Class)
% 3.89/2.76 -> [45] ((ip(uri_rdf_type) & ip(uri_rdfs_Class)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_type, X119_119, Y120_120) => icext(uri_rdfs_Class, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [45] Rewrite : iext(uri_rdfs_domain, uri_rdf_value, uri_rdfs_Resource)
% 3.89/2.76 -> [46] ((ip(uri_rdf_value) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_value, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76
% 3.89/2.76 [46] Rewrite : iext(uri_rdfs_range, uri_rdf_value, uri_rdfs_Resource)
% 3.89/2.76 -> [47] ((ip(uri_rdf_value) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_value, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76
% 3.89/2.76 [47] ALPHA_AND : (((iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_r) & iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)) & iext(uri_owl_onProperty, uri_ex_r, uri_ex_p)) & iext(uri_owl_someValuesFrom, uri_ex_r, uri_ex_d))
% 3.89/2.76 -> [48] ((iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_r) & iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)) & iext(uri_owl_onProperty, uri_ex_r, uri_ex_p)), iext(uri_owl_someValuesFrom, uri_ex_r, uri_ex_d)
% 3.89/2.76
% 3.89/2.76 [48] ALPHA_AND : ((ip(uri_rdfs_comment) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_comment, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76 -> [49] (ip(uri_rdfs_comment) & ic(uri_rdfs_Resource)), ! [X115_115, Y116_116] : ((iext(uri_rdfs_comment, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115)))
% 3.89/2.76
% 3.89/2.76 [49] ALPHA_AND : ((ip(uri_rdfs_comment) & ip(uri_rdfs_Literal)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_comment, X119_119, Y120_120) => icext(uri_rdfs_Literal, Y120_120))))
% 3.89/2.76 -> [50] (ip(uri_rdfs_comment) & ip(uri_rdfs_Literal)), ! [X119_119, Y120_120] : ((iext(uri_rdfs_comment, X119_119, Y120_120) => icext(uri_rdfs_Literal, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [50] ALPHA_AND : ((ip(uri_rdfs_isDefinedBy) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_isDefinedBy, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76 -> [51] (ip(uri_rdfs_isDefinedBy) & ic(uri_rdfs_Resource)), ! [X115_115, Y116_116] : ((iext(uri_rdfs_isDefinedBy, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115)))
% 3.89/2.76
% 3.89/2.76 [51] ALPHA_AND : ((ip(uri_rdfs_isDefinedBy) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_isDefinedBy, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76 -> [52] (ip(uri_rdfs_isDefinedBy) & ip(uri_rdfs_Resource)), ! [X119_119, Y120_120] : ((iext(uri_rdfs_isDefinedBy, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [52] ALPHA_AND : ((ip(uri_rdfs_isDefinedBy) & ip(uri_rdfs_seeAlso)) & ! [X126_126, Y127_127] : ((iext(uri_rdfs_isDefinedBy, X126_126, Y127_127) => iext(uri_rdfs_seeAlso, X126_126, Y127_127))))
% 3.89/2.76 -> [53] (ip(uri_rdfs_isDefinedBy) & ip(uri_rdfs_seeAlso)), ! [X126_126, Y127_127] : ((iext(uri_rdfs_isDefinedBy, X126_126, Y127_127) => iext(uri_rdfs_seeAlso, X126_126, Y127_127)))
% 3.89/2.76
% 3.89/2.76 [53] ALPHA_AND : ((ip(uri_rdfs_label) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_label, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76 -> [54] (ip(uri_rdfs_label) & ic(uri_rdfs_Resource)), ! [X115_115, Y116_116] : ((iext(uri_rdfs_label, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115)))
% 3.89/2.76
% 3.89/2.76 [54] ALPHA_AND : ((ip(uri_rdfs_label) & ip(uri_rdfs_Literal)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_label, X119_119, Y120_120) => icext(uri_rdfs_Literal, Y120_120))))
% 3.89/2.76 -> [55] (ip(uri_rdfs_label) & ip(uri_rdfs_Literal)), ! [X119_119, Y120_120] : ((iext(uri_rdfs_label, X119_119, Y120_120) => icext(uri_rdfs_Literal, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [55] ALPHA_AND : ((ip(uri_rdfs_seeAlso) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_seeAlso, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76 -> [56] (ip(uri_rdfs_seeAlso) & ic(uri_rdfs_Resource)), ! [X115_115, Y116_116] : ((iext(uri_rdfs_seeAlso, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115)))
% 3.89/2.76
% 3.89/2.76 [56] ALPHA_AND : ((ip(uri_rdfs_seeAlso) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_seeAlso, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76 -> [57] (ip(uri_rdfs_seeAlso) & ip(uri_rdfs_Resource)), ! [X119_119, Y120_120] : ((iext(uri_rdfs_seeAlso, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [57] ALPHA_AND : ((ip(uri_rdf_first) & ic(uri_rdf_List)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_first, X115_115, Y116_116) => icext(uri_rdf_List, X115_115))))
% 3.89/2.76 -> [58] (ip(uri_rdf_first) & ic(uri_rdf_List)), ! [X115_115, Y116_116] : ((iext(uri_rdf_first, X115_115, Y116_116) => icext(uri_rdf_List, X115_115)))
% 3.89/2.76
% 3.89/2.76 [58] ALPHA_AND : ((ip(uri_rdf_first) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_first, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76 -> [59] (ip(uri_rdf_first) & ip(uri_rdfs_Resource)), ! [X119_119, Y120_120] : ((iext(uri_rdf_first, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [59] ALPHA_AND : ((ip(uri_rdf_rest) & ic(uri_rdf_List)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_rest, X115_115, Y116_116) => icext(uri_rdf_List, X115_115))))
% 3.89/2.76 -> [60] (ip(uri_rdf_rest) & ic(uri_rdf_List)), ! [X115_115, Y116_116] : ((iext(uri_rdf_rest, X115_115, Y116_116) => icext(uri_rdf_List, X115_115)))
% 3.89/2.76
% 3.89/2.76 [60] ALPHA_AND : ((ip(uri_rdf_rest) & ip(uri_rdf_List)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_rest, X119_119, Y120_120) => icext(uri_rdf_List, Y120_120))))
% 3.89/2.76 -> [61] (ip(uri_rdf_rest) & ip(uri_rdf_List)), ! [X119_119, Y120_120] : ((iext(uri_rdf_rest, X119_119, Y120_120) => icext(uri_rdf_List, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [61] ALPHA_AND : ((ic(uri_rdf_Alt) & ic(uri_rdfs_Container)) & ! [X123_123] : ((icext(uri_rdf_Alt, X123_123) => icext(uri_rdfs_Container, X123_123))))
% 3.89/2.76 -> [62] (ic(uri_rdf_Alt) & ic(uri_rdfs_Container)), ! [X123_123] : ((icext(uri_rdf_Alt, X123_123) => icext(uri_rdfs_Container, X123_123)))
% 3.89/2.76
% 3.89/2.76 [62] ALPHA_AND : ((ic(uri_rdf_Bag) & ic(uri_rdfs_Container)) & ! [X123_123] : ((icext(uri_rdf_Bag, X123_123) => icext(uri_rdfs_Container, X123_123))))
% 3.89/2.76 -> [63] (ic(uri_rdf_Bag) & ic(uri_rdfs_Container)), ! [X123_123] : ((icext(uri_rdf_Bag, X123_123) => icext(uri_rdfs_Container, X123_123)))
% 3.89/2.76
% 3.89/2.76 [63] ALPHA_AND : ((ic(uri_rdfs_ContainerMembershipProperty) & ic(uri_rdf_Property)) & ! [X123_123] : ((icext(uri_rdfs_ContainerMembershipProperty, X123_123) => icext(uri_rdf_Property, X123_123))))
% 3.89/2.76 -> [64] (ic(uri_rdfs_ContainerMembershipProperty) & ic(uri_rdf_Property)), ! [X123_123] : ((icext(uri_rdfs_ContainerMembershipProperty, X123_123) => icext(uri_rdf_Property, X123_123)))
% 3.89/2.76
% 3.89/2.76 [64] ALPHA_AND : ((ip(uri_rdfs_member) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_member, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76 -> [65] (ip(uri_rdfs_member) & ic(uri_rdfs_Resource)), ! [X115_115, Y116_116] : ((iext(uri_rdfs_member, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115)))
% 3.89/2.76
% 3.89/2.76 [65] ALPHA_AND : ((ip(uri_rdfs_member) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_member, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76 -> [66] (ip(uri_rdfs_member) & ip(uri_rdfs_Resource)), ! [X119_119, Y120_120] : ((iext(uri_rdfs_member, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [66] ALPHA_AND : ((ip(uri_rdf__1) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdf__1, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76 -> [67] (ip(uri_rdf__1) & ic(uri_rdfs_Resource)), ! [X115_115, Y116_116] : ((iext(uri_rdf__1, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115)))
% 3.89/2.76
% 3.89/2.76 [67] ALPHA_AND : ((ip(uri_rdf__2) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdf__2, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76 -> [68] (ip(uri_rdf__2) & ic(uri_rdfs_Resource)), ! [X115_115, Y116_116] : ((iext(uri_rdf__2, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115)))
% 3.89/2.76
% 3.89/2.76 [68] ALPHA_AND : ((ip(uri_rdf__3) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdf__3, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76 -> [69] (ip(uri_rdf__3) & ic(uri_rdfs_Resource)), ! [X115_115, Y116_116] : ((iext(uri_rdf__3, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115)))
% 3.89/2.76
% 3.89/2.76 [69] ALPHA_AND : ((ip(uri_rdf__1) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf__1, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76 -> [70] (ip(uri_rdf__1) & ip(uri_rdfs_Resource)), ! [X119_119, Y120_120] : ((iext(uri_rdf__1, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [70] ALPHA_AND : ((ip(uri_rdf__2) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf__2, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76 -> [71] (ip(uri_rdf__2) & ip(uri_rdfs_Resource)), ! [X119_119, Y120_120] : ((iext(uri_rdf__2, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [71] ALPHA_AND : ((ip(uri_rdf__3) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf__3, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76 -> [72] (ip(uri_rdf__3) & ip(uri_rdfs_Resource)), ! [X119_119, Y120_120] : ((iext(uri_rdf__3, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [72] ALPHA_AND : ((ic(uri_rdfs_Seq) & ic(uri_rdfs_Container)) & ! [X123_123] : ((icext(uri_rdfs_Seq, X123_123) => icext(uri_rdfs_Container, X123_123))))
% 3.89/2.76 -> [73] (ic(uri_rdfs_Seq) & ic(uri_rdfs_Container)), ! [X123_123] : ((icext(uri_rdfs_Seq, X123_123) => icext(uri_rdfs_Container, X123_123)))
% 3.89/2.76
% 3.89/2.76 [73] ALPHA_AND : ((ic(uri_rdf_XMLLiteral) & ic(uri_rdfs_Literal)) & ! [X123_123] : ((icext(uri_rdf_XMLLiteral, X123_123) => icext(uri_rdfs_Literal, X123_123))))
% 3.89/2.76 -> [74] (ic(uri_rdf_XMLLiteral) & ic(uri_rdfs_Literal)), ! [X123_123] : ((icext(uri_rdf_XMLLiteral, X123_123) => icext(uri_rdfs_Literal, X123_123)))
% 3.89/2.76
% 3.89/2.76 [74] ALPHA_AND : ((ic(uri_rdfs_Datatype) & ic(uri_rdfs_Class)) & ! [X123_123] : ((icext(uri_rdfs_Datatype, X123_123) => icext(uri_rdfs_Class, X123_123))))
% 3.89/2.76 -> [75] (ic(uri_rdfs_Datatype) & ic(uri_rdfs_Class)), ! [X123_123] : ((icext(uri_rdfs_Datatype, X123_123) => icext(uri_rdfs_Class, X123_123)))
% 3.89/2.76
% 3.89/2.76 [75] ALPHA_AND : ((ip(uri_rdfs_domain) & ic(uri_rdf_Property)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_domain, X115_115, Y116_116) => icext(uri_rdf_Property, X115_115))))
% 3.89/2.76 -> [76] (ip(uri_rdfs_domain) & ic(uri_rdf_Property)), ! [X115_115, Y116_116] : ((iext(uri_rdfs_domain, X115_115, Y116_116) => icext(uri_rdf_Property, X115_115)))
% 3.89/2.76
% 3.89/2.76 [76] ALPHA_AND : ((ip(uri_rdfs_domain) & ip(uri_rdfs_Class)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_domain, X119_119, Y120_120) => icext(uri_rdfs_Class, Y120_120))))
% 3.89/2.76 -> [77] (ip(uri_rdfs_domain) & ip(uri_rdfs_Class)), ! [X119_119, Y120_120] : ((iext(uri_rdfs_domain, X119_119, Y120_120) => icext(uri_rdfs_Class, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [77] ALPHA_AND : ((ip(uri_rdfs_range) & ic(uri_rdf_Property)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_range, X115_115, Y116_116) => icext(uri_rdf_Property, X115_115))))
% 3.89/2.76 -> [78] (ip(uri_rdfs_range) & ic(uri_rdf_Property)), ! [X115_115, Y116_116] : ((iext(uri_rdfs_range, X115_115, Y116_116) => icext(uri_rdf_Property, X115_115)))
% 3.89/2.76
% 3.89/2.76 [78] ALPHA_AND : ((ip(uri_rdfs_range) & ip(uri_rdfs_Class)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_range, X119_119, Y120_120) => icext(uri_rdfs_Class, Y120_120))))
% 3.89/2.76 -> [79] (ip(uri_rdfs_range) & ip(uri_rdfs_Class)), ! [X119_119, Y120_120] : ((iext(uri_rdfs_range, X119_119, Y120_120) => icext(uri_rdfs_Class, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [79] ALPHA_AND : ((ip(uri_rdf_object) & ic(uri_rdfs_Statement)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_object, X115_115, Y116_116) => icext(uri_rdfs_Statement, X115_115))))
% 3.89/2.76 -> [80] (ip(uri_rdf_object) & ic(uri_rdfs_Statement)), ! [X115_115, Y116_116] : ((iext(uri_rdf_object, X115_115, Y116_116) => icext(uri_rdfs_Statement, X115_115)))
% 3.89/2.76
% 3.89/2.76 [80] ALPHA_AND : ((ip(uri_rdf_predicate) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_predicate, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76 -> [81] (ip(uri_rdf_predicate) & ip(uri_rdfs_Resource)), ! [X119_119, Y120_120] : ((iext(uri_rdf_predicate, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [81] ALPHA_AND : ((ip(uri_rdf_predicate) & ic(uri_rdfs_Statement)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_predicate, X115_115, Y116_116) => icext(uri_rdfs_Statement, X115_115))))
% 3.89/2.76 -> [82] (ip(uri_rdf_predicate) & ic(uri_rdfs_Statement)), ! [X115_115, Y116_116] : ((iext(uri_rdf_predicate, X115_115, Y116_116) => icext(uri_rdfs_Statement, X115_115)))
% 3.89/2.76
% 3.89/2.76 [82] ALPHA_AND : ((ip(uri_rdf_subject) & ic(uri_rdfs_Statement)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_subject, X115_115, Y116_116) => icext(uri_rdfs_Statement, X115_115))))
% 3.89/2.76 -> [83] (ip(uri_rdf_subject) & ic(uri_rdfs_Statement)), ! [X115_115, Y116_116] : ((iext(uri_rdf_subject, X115_115, Y116_116) => icext(uri_rdfs_Statement, X115_115)))
% 3.89/2.76
% 3.89/2.76 [83] ALPHA_AND : ((ip(uri_rdf_subject) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_subject, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76 -> [84] (ip(uri_rdf_subject) & ip(uri_rdfs_Resource)), ! [X119_119, Y120_120] : ((iext(uri_rdf_subject, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [84] ALPHA_AND : ((ip(uri_rdfs_subClassOf) & ic(uri_rdfs_Class)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_subClassOf, X115_115, Y116_116) => icext(uri_rdfs_Class, X115_115))))
% 3.89/2.76 -> [85] (ip(uri_rdfs_subClassOf) & ic(uri_rdfs_Class)), ! [X115_115, Y116_116] : ((iext(uri_rdfs_subClassOf, X115_115, Y116_116) => icext(uri_rdfs_Class, X115_115)))
% 3.89/2.76
% 3.89/2.76 [85] ALPHA_AND : ((ip(uri_rdfs_subClassOf) & ip(uri_rdfs_Class)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_subClassOf, X119_119, Y120_120) => icext(uri_rdfs_Class, Y120_120))))
% 3.89/2.76 -> [86] (ip(uri_rdfs_subClassOf) & ip(uri_rdfs_Class)), ! [X119_119, Y120_120] : ((iext(uri_rdfs_subClassOf, X119_119, Y120_120) => icext(uri_rdfs_Class, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [86] ALPHA_AND : ((ip(uri_rdfs_subPropertyOf) & ic(uri_rdf_Property)) & ! [X115_115, Y116_116] : ((iext(uri_rdfs_subPropertyOf, X115_115, Y116_116) => icext(uri_rdf_Property, X115_115))))
% 3.89/2.76 -> [87] (ip(uri_rdfs_subPropertyOf) & ic(uri_rdf_Property)), ! [X115_115, Y116_116] : ((iext(uri_rdfs_subPropertyOf, X115_115, Y116_116) => icext(uri_rdf_Property, X115_115)))
% 3.89/2.76
% 3.89/2.76 [87] ALPHA_AND : ((ip(uri_rdfs_subPropertyOf) & ip(uri_rdf_Property)) & ! [X119_119, Y120_120] : ((iext(uri_rdfs_subPropertyOf, X119_119, Y120_120) => icext(uri_rdf_Property, Y120_120))))
% 3.89/2.76 -> [88] (ip(uri_rdfs_subPropertyOf) & ip(uri_rdf_Property)), ! [X119_119, Y120_120] : ((iext(uri_rdfs_subPropertyOf, X119_119, Y120_120) => icext(uri_rdf_Property, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [88] ALPHA_AND : ((ip(uri_rdf_type) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_type, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76 -> [89] (ip(uri_rdf_type) & ic(uri_rdfs_Resource)), ! [X115_115, Y116_116] : ((iext(uri_rdf_type, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115)))
% 3.89/2.76
% 3.89/2.76 [89] ALPHA_AND : ((ip(uri_rdf_type) & ip(uri_rdfs_Class)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_type, X119_119, Y120_120) => icext(uri_rdfs_Class, Y120_120))))
% 3.89/2.76 -> [90] (ip(uri_rdf_type) & ip(uri_rdfs_Class)), ! [X119_119, Y120_120] : ((iext(uri_rdf_type, X119_119, Y120_120) => icext(uri_rdfs_Class, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [90] ALPHA_AND : ((ip(uri_rdf_value) & ic(uri_rdfs_Resource)) & ! [X115_115, Y116_116] : ((iext(uri_rdf_value, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115))))
% 3.89/2.76 -> [91] (ip(uri_rdf_value) & ic(uri_rdfs_Resource)), ! [X115_115, Y116_116] : ((iext(uri_rdf_value, X115_115, Y116_116) => icext(uri_rdfs_Resource, X115_115)))
% 3.89/2.76
% 3.89/2.76 [91] ALPHA_AND : ((ip(uri_rdf_value) & ip(uri_rdfs_Resource)) & ! [X119_119, Y120_120] : ((iext(uri_rdf_value, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120))))
% 3.89/2.76 -> [92] (ip(uri_rdf_value) & ip(uri_rdfs_Resource)), ! [X119_119, Y120_120] : ((iext(uri_rdf_value, X119_119, Y120_120) => icext(uri_rdfs_Resource, Y120_120)))
% 3.89/2.76
% 3.89/2.76 [92] ALPHA_AND : ((iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_r) & iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)) & iext(uri_owl_onProperty, uri_ex_r, uri_ex_p))
% 3.89/2.76 -> [93] (iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_r) & iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)), iext(uri_owl_onProperty, uri_ex_r, uri_ex_p)
% 3.89/2.76
% 3.89/2.76 [93] ALPHA_AND : (ip(uri_rdfs_comment) & ic(uri_rdfs_Resource))
% 3.89/2.76 -> [94] ip(uri_rdfs_comment), ic(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [94] ALPHA_AND : (ip(uri_rdfs_comment) & ip(uri_rdfs_Literal))
% 3.89/2.76 -> [95] ip(uri_rdfs_comment), ip(uri_rdfs_Literal)
% 3.89/2.76
% 3.89/2.76 [95] ALPHA_AND : (ip(uri_rdfs_isDefinedBy) & ic(uri_rdfs_Resource))
% 3.89/2.76 -> [96] ip(uri_rdfs_isDefinedBy), ic(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [96] ALPHA_AND : (ip(uri_rdfs_isDefinedBy) & ip(uri_rdfs_Resource))
% 3.89/2.76 -> [97] ip(uri_rdfs_isDefinedBy), ip(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [97] ALPHA_AND : (ip(uri_rdfs_isDefinedBy) & ip(uri_rdfs_seeAlso))
% 3.89/2.76 -> [98] ip(uri_rdfs_isDefinedBy), ip(uri_rdfs_seeAlso)
% 3.89/2.76
% 3.89/2.76 [98] ALPHA_AND : (ip(uri_rdfs_label) & ic(uri_rdfs_Resource))
% 3.89/2.76 -> [99] ip(uri_rdfs_label), ic(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [99] ALPHA_AND : (ip(uri_rdfs_label) & ip(uri_rdfs_Literal))
% 3.89/2.76 -> [100] ip(uri_rdfs_label), ip(uri_rdfs_Literal)
% 3.89/2.76
% 3.89/2.76 [100] ALPHA_AND : (ip(uri_rdfs_seeAlso) & ic(uri_rdfs_Resource))
% 3.89/2.76 -> [101] ip(uri_rdfs_seeAlso), ic(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [101] ALPHA_AND : (ip(uri_rdfs_seeAlso) & ip(uri_rdfs_Resource))
% 3.89/2.76 -> [102] ip(uri_rdfs_seeAlso), ip(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [102] ALPHA_AND : (ip(uri_rdf_first) & ic(uri_rdf_List))
% 3.89/2.76 -> [103] ip(uri_rdf_first), ic(uri_rdf_List)
% 3.89/2.76
% 3.89/2.76 [103] ALPHA_AND : (ip(uri_rdf_first) & ip(uri_rdfs_Resource))
% 3.89/2.76 -> [104] ip(uri_rdf_first), ip(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [104] ALPHA_AND : (ip(uri_rdf_rest) & ic(uri_rdf_List))
% 3.89/2.76 -> [105] ip(uri_rdf_rest), ic(uri_rdf_List)
% 3.89/2.76
% 3.89/2.76 [105] ALPHA_AND : (ip(uri_rdf_rest) & ip(uri_rdf_List))
% 3.89/2.76 -> [106] ip(uri_rdf_rest), ip(uri_rdf_List)
% 3.89/2.76
% 3.89/2.76 [106] ALPHA_AND : (ic(uri_rdf_Alt) & ic(uri_rdfs_Container))
% 3.89/2.76 -> [107] ic(uri_rdf_Alt), ic(uri_rdfs_Container)
% 3.89/2.76
% 3.89/2.76 [107] ALPHA_AND : (ic(uri_rdf_Bag) & ic(uri_rdfs_Container))
% 3.89/2.76 -> [108] ic(uri_rdf_Bag), ic(uri_rdfs_Container)
% 3.89/2.76
% 3.89/2.76 [108] ALPHA_AND : (ic(uri_rdfs_ContainerMembershipProperty) & ic(uri_rdf_Property))
% 3.89/2.76 -> [109] ic(uri_rdfs_ContainerMembershipProperty), ic(uri_rdf_Property)
% 3.89/2.76
% 3.89/2.76 [109] ALPHA_AND : (ip(uri_rdfs_member) & ic(uri_rdfs_Resource))
% 3.89/2.76 -> [110] ip(uri_rdfs_member), ic(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [110] ALPHA_AND : (ip(uri_rdfs_member) & ip(uri_rdfs_Resource))
% 3.89/2.76 -> [111] ip(uri_rdfs_member), ip(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [111] ALPHA_AND : (ip(uri_rdf__1) & ic(uri_rdfs_Resource))
% 3.89/2.76 -> [112] ip(uri_rdf__1), ic(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [112] ALPHA_AND : (ip(uri_rdf__2) & ic(uri_rdfs_Resource))
% 3.89/2.76 -> [113] ip(uri_rdf__2), ic(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [113] ALPHA_AND : (ip(uri_rdf__3) & ic(uri_rdfs_Resource))
% 3.89/2.76 -> [114] ip(uri_rdf__3), ic(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [114] ALPHA_AND : (ip(uri_rdf__1) & ip(uri_rdfs_Resource))
% 3.89/2.76 -> [115] ip(uri_rdf__1), ip(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [115] ALPHA_AND : (ip(uri_rdf__2) & ip(uri_rdfs_Resource))
% 3.89/2.76 -> [116] ip(uri_rdf__2), ip(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [116] ALPHA_AND : (ip(uri_rdf__3) & ip(uri_rdfs_Resource))
% 3.89/2.76 -> [117] ip(uri_rdf__3), ip(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [117] ALPHA_AND : (ic(uri_rdfs_Seq) & ic(uri_rdfs_Container))
% 3.89/2.76 -> [118] ic(uri_rdfs_Seq), ic(uri_rdfs_Container)
% 3.89/2.76
% 3.89/2.76 [118] ALPHA_AND : (ic(uri_rdf_XMLLiteral) & ic(uri_rdfs_Literal))
% 3.89/2.76 -> [119] ic(uri_rdf_XMLLiteral), ic(uri_rdfs_Literal)
% 3.89/2.76
% 3.89/2.76 [119] ALPHA_AND : (ic(uri_rdfs_Datatype) & ic(uri_rdfs_Class))
% 3.89/2.76 -> [120] ic(uri_rdfs_Datatype), ic(uri_rdfs_Class)
% 3.89/2.76
% 3.89/2.76 [120] ALPHA_AND : (ip(uri_rdfs_domain) & ic(uri_rdf_Property))
% 3.89/2.76 -> [121] ip(uri_rdfs_domain), ic(uri_rdf_Property)
% 3.89/2.76
% 3.89/2.76 [121] ALPHA_AND : (ip(uri_rdfs_domain) & ip(uri_rdfs_Class))
% 3.89/2.76 -> [122] ip(uri_rdfs_domain), ip(uri_rdfs_Class)
% 3.89/2.76
% 3.89/2.76 [122] ALPHA_AND : (ip(uri_rdfs_range) & ic(uri_rdf_Property))
% 3.89/2.76 -> [123] ip(uri_rdfs_range), ic(uri_rdf_Property)
% 3.89/2.76
% 3.89/2.76 [123] ALPHA_AND : (ip(uri_rdfs_range) & ip(uri_rdfs_Class))
% 3.89/2.76 -> [124] ip(uri_rdfs_range), ip(uri_rdfs_Class)
% 3.89/2.76
% 3.89/2.76 [124] ALPHA_AND : (ip(uri_rdf_object) & ic(uri_rdfs_Statement))
% 3.89/2.76 -> [125] ip(uri_rdf_object), ic(uri_rdfs_Statement)
% 3.89/2.76
% 3.89/2.76 [125] ALPHA_AND : (ip(uri_rdf_predicate) & ip(uri_rdfs_Resource))
% 3.89/2.76 -> [126] ip(uri_rdf_predicate), ip(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [126] ALPHA_AND : (ip(uri_rdf_predicate) & ic(uri_rdfs_Statement))
% 3.89/2.76 -> [127] ip(uri_rdf_predicate), ic(uri_rdfs_Statement)
% 3.89/2.76
% 3.89/2.76 [127] ALPHA_AND : (ip(uri_rdf_subject) & ic(uri_rdfs_Statement))
% 3.89/2.76 -> [128] ip(uri_rdf_subject), ic(uri_rdfs_Statement)
% 3.89/2.76
% 3.89/2.76 [128] ALPHA_AND : (ip(uri_rdf_subject) & ip(uri_rdfs_Resource))
% 3.89/2.76 -> [129] ip(uri_rdf_subject), ip(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [129] ALPHA_AND : (ip(uri_rdfs_subClassOf) & ic(uri_rdfs_Class))
% 3.89/2.76 -> [130] ip(uri_rdfs_subClassOf), ic(uri_rdfs_Class)
% 3.89/2.76
% 3.89/2.76 [130] ALPHA_AND : (ip(uri_rdfs_subClassOf) & ip(uri_rdfs_Class))
% 3.89/2.76 -> [131] ip(uri_rdfs_subClassOf), ip(uri_rdfs_Class)
% 3.89/2.76
% 3.89/2.76 [131] ALPHA_AND : (ip(uri_rdfs_subPropertyOf) & ic(uri_rdf_Property))
% 3.89/2.76 -> [132] ip(uri_rdfs_subPropertyOf), ic(uri_rdf_Property)
% 3.89/2.76
% 3.89/2.76 [132] ALPHA_AND : (ip(uri_rdfs_subPropertyOf) & ip(uri_rdf_Property))
% 3.89/2.76 -> [133] ip(uri_rdfs_subPropertyOf), ip(uri_rdf_Property)
% 3.89/2.76
% 3.89/2.76 [133] ALPHA_AND : (ip(uri_rdf_type) & ic(uri_rdfs_Resource))
% 3.89/2.76 -> [134] ip(uri_rdf_type), ic(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [134] ALPHA_AND : (ip(uri_rdf_type) & ip(uri_rdfs_Class))
% 3.89/2.76 -> [135] ip(uri_rdf_type), ip(uri_rdfs_Class)
% 3.89/2.76
% 3.89/2.76 [135] ALPHA_AND : (ip(uri_rdf_value) & ic(uri_rdfs_Resource))
% 3.89/2.76 -> [136] ip(uri_rdf_value), ic(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [136] ALPHA_AND : (ip(uri_rdf_value) & ip(uri_rdfs_Resource))
% 3.89/2.76 -> [137] ip(uri_rdf_value), ip(uri_rdfs_Resource)
% 3.89/2.76
% 3.89/2.76 [137] ALPHA_AND : (iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_r) & iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction))
% 3.89/2.76 -> [138] iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_r), iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)
% 3.89/2.76
% 3.89/2.76 [138] Rewrite : iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_r)
% 3.89/2.76 -> [139] ((ic(uri_ex_c) & ic(uri_ex_r)) & ! [X123_123] : ((icext(uri_ex_c, X123_123) => icext(uri_ex_r, X123_123))))
% 3.89/2.76
% 3.89/2.76 [139] ALPHA_AND : ((ic(uri_ex_c) & ic(uri_ex_r)) & ! [X123_123] : ((icext(uri_ex_c, X123_123) => icext(uri_ex_r, X123_123))))
% 3.89/2.76 -> [140] (ic(uri_ex_c) & ic(uri_ex_r)), ! [X123_123] : ((icext(uri_ex_c, X123_123) => icext(uri_ex_r, X123_123)))
% 3.89/2.76
% 3.89/2.76 [140] ALPHA_AND : (ic(uri_ex_c) & ic(uri_ex_r))
% 3.89/2.76 -> [141] ic(uri_ex_c), ic(uri_ex_r)
% 3.89/2.76
% 3.89/2.76 [141] DELTA_EXISTS : ? [X93_93] : (ir(X93_93))
% 3.89/2.76 -> [142] ir(skolem_X9393)
% 3.89/2.76
% 3.89/2.76 [142] BETA_NOT_AND : ~(iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction) & iext(uri_owl_onProperty, uri_ex_r, uri_ex_p))
% 3.89/2.76 -> [143] ~iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)
% 3.89/2.76 -> [144] ~iext(uri_owl_onProperty, uri_ex_r, uri_ex_p)
% 3.89/2.76
% 3.89/2.76 [143] CLOSURE : ~iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)
% 3.89/2.76
% 3.89/2.76 [144] CLOSURE : ~iext(uri_owl_onProperty, uri_ex_r, uri_ex_p)
% 3.89/2.76
% 3.89/2.76 % SZS output end Proof for theBenchmark.p
% 3.89/2.76 [2.426132s][1][Res] 894 goroutines created
% 3.89/2.76 ==== Result ====
% 3.89/2.76 [2.426176s][1][Res] VALID
% 3.89/2.76 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------