TSTP Solution File: SWB004+2 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SWB004+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n028.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 08:21:55 EDT 2022
% Result : Theorem 3.30s 0.85s
% Output : Proof 3.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB004+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n028.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 19:21:53 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 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 11
% 0.12/0.34 Launch Gotab with destructive = true
% 3.30/0.85 % SZS output start Proof for theBenchmark.p
% 3.30/0.85 [0] ALPHA_AND : (! [X4_4] : (ir(X4_4)) & ! [X5_5, C6_6] : ((iext(uri_rdf_type, X5_5, C6_6) <=> icext(C6_6, X5_5))) & ! [X7_7] : ((idc(X7_7) => ic(X7_7))) & ic(uri_owl_Class) & ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8))) & ic(uri_rdfs_Class) & ! [X9_9] : ((icext(uri_rdfs_Class, X9_9) <=> ic(X9_9))) & ic(uri_rdfs_Datatype) & ! [X10_10] : ((icext(uri_rdfs_Datatype, X10_10) <=> idc(X10_10))) & ic(uri_owl_Thing) & ! [X11_11] : ((icext(uri_owl_Thing, X11_11) <=> ir(X11_11))) & ~((((iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)))
% 3.30/0.85 -> [1] ! [X4_4] : (ir(X4_4)), ! [X5_5, C6_6] : ((iext(uri_rdf_type, X5_5, C6_6) <=> icext(C6_6, X5_5))), ! [X7_7] : ((idc(X7_7) => ic(X7_7))), ic(uri_owl_Class), ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8))), ic(uri_rdfs_Class), ! [X9_9] : ((icext(uri_rdfs_Class, X9_9) <=> ic(X9_9))), ic(uri_rdfs_Datatype), ! [X10_10] : ((icext(uri_rdfs_Datatype, X10_10) <=> idc(X10_10))), ic(uri_owl_Thing), ! [X11_11] : ((icext(uri_owl_Thing, X11_11) <=> ir(X11_11))), ~((((iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))
% 3.30/0.85
% 3.30/0.85 [1] BETA_NOT_AND : ~((((iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))
% 3.30/0.85 -> [2] ~(((iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class))
% 3.30/0.85 -> [3] ~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [3] Rewrite : ~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)
% 3.30/0.85 -> [6] ~((ic(uri_rdfs_Datatype) & ic(uri_owl_Class)) & ! [X14_14] : ((icext(uri_rdfs_Datatype, X14_14) => icext(uri_owl_Class, X14_14))))
% 3.30/0.85
% 3.30/0.85 [6] BETA_NOT_AND : ~((ic(uri_rdfs_Datatype) & ic(uri_owl_Class)) & ! [X14_14] : ((icext(uri_rdfs_Datatype, X14_14) => icext(uri_owl_Class, X14_14))))
% 3.30/0.85 -> [9] ~(ic(uri_rdfs_Datatype) & ic(uri_owl_Class))
% 3.30/0.85 -> [10] ~! [X14_14] : ((icext(uri_rdfs_Datatype, X14_14) => icext(uri_owl_Class, X14_14)))
% 3.30/0.85
% 3.30/0.85 [9] BETA_NOT_AND : ~(ic(uri_rdfs_Datatype) & ic(uri_owl_Class))
% 3.30/0.85 -> [13] ~ic(uri_rdfs_Datatype)
% 3.30/0.85 -> [14] ~ic(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [14] CLOSURE : ~ic(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [13] CLOSURE : ~ic(uri_rdfs_Datatype)
% 3.30/0.85
% 3.30/0.85 [10] DELTA_NOT_FORALL : ~! [X14_14] : ((icext(uri_rdfs_Datatype, X14_14) => icext(uri_owl_Class, X14_14)))
% 3.30/0.85 -> [11] ~(icext(uri_rdfs_Datatype, skolem_X1414) => icext(uri_owl_Class, skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [11] ALPHA_NOT_IMPLY : ~(icext(uri_rdfs_Datatype, skolem_X1414) => icext(uri_owl_Class, skolem_X1414))
% 3.30/0.85 -> [12] icext(uri_rdfs_Datatype, skolem_X1414), ~icext(uri_owl_Class, skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [12] GAMMA_FORALL : ! [X4_4] : (ir(X4_4))
% 3.30/0.85 -> [34] ir(X4_2_0)
% 3.30/0.85
% 3.30/0.85 [34] GAMMA_FORALL : ! [X5_5, C6_6] : ((iext(uri_rdf_type, X5_5, C6_6) <=> icext(C6_6, X5_5)))
% 3.30/0.85 -> [54] (iext(uri_rdf_type, skolem_X1414, uri_owl_Class) <=> icext(uri_owl_Class, skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [54] BETA_EQUIV : (iext(uri_rdf_type, skolem_X1414, uri_owl_Class) <=> icext(uri_owl_Class, skolem_X1414))
% 3.30/0.85 -> [57] ~iext(uri_rdf_type, skolem_X1414, uri_owl_Class), ~icext(uri_owl_Class, skolem_X1414)
% 3.30/0.85 -> [58] iext(uri_rdf_type, skolem_X1414, uri_owl_Class), icext(uri_owl_Class, skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [58] CLOSURE : icext(uri_owl_Class, skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [57] GAMMA_FORALL : ! [X7_7] : ((idc(X7_7) => ic(X7_7)))
% 3.30/0.85 -> [83] (idc(skolem_X1414) => ic(skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [83] BETA_IMPLY : (idc(skolem_X1414) => ic(skolem_X1414))
% 3.30/0.85 -> [84] ~idc(skolem_X1414)
% 3.30/0.85 -> [85] ic(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [85] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [89] (icext(uri_owl_Class, skolem_X1414) <=> ic(skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [89] BETA_EQUIV : (icext(uri_owl_Class, skolem_X1414) <=> ic(skolem_X1414))
% 3.30/0.85 -> [91] ~icext(uri_owl_Class, skolem_X1414), ~ic(skolem_X1414)
% 3.30/0.85 -> [92] icext(uri_owl_Class, skolem_X1414), ic(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [92] CLOSURE : icext(uri_owl_Class, skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [91] CLOSURE : ~ic(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [84] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [98] (icext(uri_owl_Class, skolem_X1414) <=> ic(skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [98] BETA_EQUIV : (icext(uri_owl_Class, skolem_X1414) <=> ic(skolem_X1414))
% 3.30/0.85 -> [99] ~icext(uri_owl_Class, skolem_X1414), ~ic(skolem_X1414)
% 3.30/0.85 -> [100] icext(uri_owl_Class, skolem_X1414), ic(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [100] CLOSURE : icext(uri_owl_Class, skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [99] GAMMA_FORALL : ! [X9_9] : ((icext(uri_rdfs_Class, X9_9) <=> ic(X9_9)))
% 3.30/0.85 -> [147] (icext(uri_rdfs_Class, uri_owl_Thing) <=> ic(uri_owl_Thing))
% 3.30/0.85
% 3.30/0.85 [147] BETA_EQUIV : (icext(uri_rdfs_Class, uri_owl_Thing) <=> ic(uri_owl_Thing))
% 3.30/0.85 -> [148] ~icext(uri_rdfs_Class, uri_owl_Thing), ~ic(uri_owl_Thing)
% 3.30/0.85 -> [149] icext(uri_rdfs_Class, uri_owl_Thing), ic(uri_owl_Thing)
% 3.30/0.85
% 3.30/0.85 [148] CLOSURE : ~ic(uri_owl_Thing)
% 3.30/0.85
% 3.30/0.85 [149] GAMMA_FORALL : ! [X10_10] : ((icext(uri_rdfs_Datatype, X10_10) <=> idc(X10_10)))
% 3.30/0.85 -> [188] (icext(uri_rdfs_Datatype, skolem_X1414) <=> idc(skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [188] BETA_EQUIV : (icext(uri_rdfs_Datatype, skolem_X1414) <=> idc(skolem_X1414))
% 3.30/0.85 -> [189] ~icext(uri_rdfs_Datatype, skolem_X1414), ~idc(skolem_X1414)
% 3.30/0.85 -> [190] icext(uri_rdfs_Datatype, skolem_X1414), idc(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [189] CLOSURE : ~icext(uri_rdfs_Datatype, skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [190] CLOSURE : idc(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [2] BETA_NOT_AND : ~(((iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class))
% 3.30/0.85 -> [4] ~((iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing))
% 3.30/0.85 -> [5] ~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)
% 3.30/0.85
% 3.30/0.85 [4] BETA_NOT_AND : ~((iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing))
% 3.30/0.85 -> [7] ~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class))
% 3.30/0.85 -> [8] ~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)
% 3.30/0.85
% 3.30/0.85 [8] Rewrite : ~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)
% 3.30/0.85 -> [17] ~((ic(uri_owl_Class) & ic(uri_owl_Thing)) & ! [X14_14] : ((icext(uri_owl_Class, X14_14) => icext(uri_owl_Thing, X14_14))))
% 3.30/0.85
% 3.30/0.85 [17] BETA_NOT_AND : ~((ic(uri_owl_Class) & ic(uri_owl_Thing)) & ! [X14_14] : ((icext(uri_owl_Class, X14_14) => icext(uri_owl_Thing, X14_14))))
% 3.30/0.85 -> [21] ~(ic(uri_owl_Class) & ic(uri_owl_Thing))
% 3.30/0.85 -> [22] ~! [X14_14] : ((icext(uri_owl_Class, X14_14) => icext(uri_owl_Thing, X14_14)))
% 3.30/0.85
% 3.30/0.85 [21] BETA_NOT_AND : ~(ic(uri_owl_Class) & ic(uri_owl_Thing))
% 3.30/0.85 -> [23] ~ic(uri_owl_Class)
% 3.30/0.85 -> [24] ~ic(uri_owl_Thing)
% 3.30/0.85
% 3.30/0.85 [24] CLOSURE : ~ic(uri_owl_Thing)
% 3.30/0.85
% 3.30/0.85 [23] CLOSURE : ~ic(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [22] DELTA_NOT_FORALL : ~! [X14_14] : ((icext(uri_owl_Class, X14_14) => icext(uri_owl_Thing, X14_14)))
% 3.30/0.85 -> [28] ~(icext(uri_owl_Class, skolem_X1414) => icext(uri_owl_Thing, skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [28] ALPHA_NOT_IMPLY : ~(icext(uri_owl_Class, skolem_X1414) => icext(uri_owl_Thing, skolem_X1414))
% 3.30/0.85 -> [32] icext(uri_owl_Class, skolem_X1414), ~icext(uri_owl_Thing, skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [32] GAMMA_FORALL : ! [X4_4] : (ir(X4_4))
% 3.30/0.85 -> [42] ir(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [42] GAMMA_FORALL : ! [X5_5, C6_6] : ((iext(uri_rdf_type, X5_5, C6_6) <=> icext(C6_6, X5_5)))
% 3.30/0.85 -> [59] (iext(uri_rdf_type, skolem_X1414, uri_owl_Class) <=> icext(uri_owl_Class, skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [59] BETA_EQUIV : (iext(uri_rdf_type, skolem_X1414, uri_owl_Class) <=> icext(uri_owl_Class, skolem_X1414))
% 3.30/0.85 -> [60] ~iext(uri_rdf_type, skolem_X1414, uri_owl_Class), ~icext(uri_owl_Class, skolem_X1414)
% 3.30/0.85 -> [61] iext(uri_rdf_type, skolem_X1414, uri_owl_Class), icext(uri_owl_Class, skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [60] CLOSURE : ~icext(uri_owl_Class, skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [61] GAMMA_FORALL : ! [X7_7] : ((idc(X7_7) => ic(X7_7)))
% 3.30/0.85 -> [77] (idc(X7_3_2) => ic(X7_3_2))
% 3.30/0.85
% 3.30/0.85 [77] BETA_IMPLY : (idc(X7_3_2) => ic(X7_3_2))
% 3.30/0.85 -> [78] ~idc(X7_3_2)
% 3.30/0.85 -> [79] ic(X7_3_2)
% 3.30/0.85
% 3.30/0.85 [79] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [101] (icext(uri_owl_Class, skolem_X1414) <=> ic(skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [101] BETA_EQUIV : (icext(uri_owl_Class, skolem_X1414) <=> ic(skolem_X1414))
% 3.30/0.85 -> [102] ~icext(uri_owl_Class, skolem_X1414), ~ic(skolem_X1414)
% 3.30/0.85 -> [103] icext(uri_owl_Class, skolem_X1414), ic(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [102] CLOSURE : ~ic(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [118] BETA_EQUIV : (icext(uri_rdfs_Class, X9_2_4) <=> ic(X9_2_4))
% 3.30/0.85 -> [227] ~icext(uri_rdfs_Class, X9_2_4), ~ic(X9_2_4)
% 3.30/0.85 -> [228] icext(uri_rdfs_Class, X9_2_4), ic(X9_2_4)
% 3.30/0.85
% 3.30/0.85 [228] GAMMA_FORALL : ! [X10_10] : ((icext(uri_rdfs_Datatype, X10_10) <=> idc(X10_10)))
% 3.30/0.85 -> [232] (icext(uri_rdfs_Datatype, X10_6_5) <=> idc(X10_6_5))
% 3.30/0.85
% 3.30/0.85 [232] BETA_EQUIV : (icext(uri_rdfs_Datatype, X10_6_5) <=> idc(X10_6_5))
% 3.30/0.85 -> [233] ~icext(uri_rdfs_Datatype, X10_6_5), ~idc(X10_6_5)
% 3.30/0.85 -> [234] icext(uri_rdfs_Datatype, X10_6_5), idc(X10_6_5)
% 3.30/0.85
% 3.30/0.85 [234] GAMMA_FORALL : ! [X11_11] : ((icext(uri_owl_Thing, X11_11) <=> ir(X11_11)))
% 3.30/0.85 -> [235] (icext(uri_owl_Thing, skolem_X1414) <=> ir(skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [235] BETA_EQUIV : (icext(uri_owl_Thing, skolem_X1414) <=> ir(skolem_X1414))
% 3.30/0.85 -> [236] ~icext(uri_owl_Thing, skolem_X1414), ~ir(skolem_X1414)
% 3.30/0.85 -> [237] icext(uri_owl_Thing, skolem_X1414), ir(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [237] CLOSURE : icext(uri_owl_Thing, skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [236] CLOSURE : ~ir(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [233] GAMMA_FORALL : ! [X11_11] : ((icext(uri_owl_Thing, X11_11) <=> ir(X11_11)))
% 3.30/0.85 -> [238] (icext(uri_owl_Thing, skolem_X1414) <=> ir(skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [238] BETA_EQUIV : (icext(uri_owl_Thing, skolem_X1414) <=> ir(skolem_X1414))
% 3.30/0.85 -> [239] ~icext(uri_owl_Thing, skolem_X1414), ~ir(skolem_X1414)
% 3.30/0.85 -> [240] icext(uri_owl_Thing, skolem_X1414), ir(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [240] CLOSURE : icext(uri_owl_Thing, skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [239] CLOSURE : ~ir(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [227] CLOSURE : ~ic(X9_2_4)
% 3.30/0.85
% 3.30/0.85 [78] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [95] (icext(uri_owl_Class, skolem_X1414) <=> ic(skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [95] BETA_EQUIV : (icext(uri_owl_Class, skolem_X1414) <=> ic(skolem_X1414))
% 3.30/0.85 -> [96] ~icext(uri_owl_Class, skolem_X1414), ~ic(skolem_X1414)
% 3.30/0.85 -> [97] icext(uri_owl_Class, skolem_X1414), ic(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [96] CLOSURE : ~ic(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [123] BETA_EQUIV : (icext(uri_rdfs_Class, uri_owl_Class) <=> ic(uri_owl_Class))
% 3.30/0.85 -> [261] ~icext(uri_rdfs_Class, uri_owl_Class), ~ic(uri_owl_Class)
% 3.30/0.85 -> [262] icext(uri_rdfs_Class, uri_owl_Class), ic(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [261] CLOSURE : ~ic(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [267] BETA_EQUIV : (icext(uri_rdfs_Datatype, X10_8_5) <=> idc(X10_8_5))
% 3.30/0.85 -> [299] ~icext(uri_rdfs_Datatype, X10_8_5), ~idc(X10_8_5)
% 3.30/0.85 -> [300] icext(uri_rdfs_Datatype, X10_8_5), idc(X10_8_5)
% 3.30/0.85
% 3.30/0.85 [299] GAMMA_FORALL : ! [X11_11] : ((icext(uri_owl_Thing, X11_11) <=> ir(X11_11)))
% 3.30/0.85 -> [301] (icext(uri_owl_Thing, skolem_X1414) <=> ir(skolem_X1414))
% 3.30/0.85
% 3.30/0.85 [301] BETA_EQUIV : (icext(uri_owl_Thing, skolem_X1414) <=> ir(skolem_X1414))
% 3.30/0.85 -> [302] ~icext(uri_owl_Thing, skolem_X1414), ~ir(skolem_X1414)
% 3.30/0.85 -> [303] icext(uri_owl_Thing, skolem_X1414), ir(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [303] CLOSURE : icext(uri_owl_Thing, skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [302] CLOSURE : ~ir(skolem_X1414)
% 3.30/0.85
% 3.30/0.85 [300] CLOSURE : idc(X10_8_5)
% 3.30/0.85
% 3.30/0.85 [7] BETA_NOT_AND : ~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class))
% 3.30/0.85 -> [15] ~iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing)
% 3.30/0.85 -> [16] ~iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [16] GAMMA_FORALL : ! [X4_4] : (ir(X4_4))
% 3.30/0.85 -> [31] ir(X4_0_0)
% 3.30/0.85
% 3.30/0.85 [31] GAMMA_FORALL : ! [X5_5, C6_6] : ((iext(uri_rdf_type, X5_5, C6_6) <=> icext(C6_6, X5_5)))
% 3.30/0.85 -> [36] (iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) <=> icext(uri_owl_Class, uri_owl_Class))
% 3.30/0.85
% 3.30/0.85 [36] BETA_EQUIV : (iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) <=> icext(uri_owl_Class, uri_owl_Class))
% 3.30/0.85 -> [38] ~iext(uri_rdf_type, uri_owl_Class, uri_owl_Class), ~icext(uri_owl_Class, uri_owl_Class)
% 3.30/0.85 -> [39] iext(uri_rdf_type, uri_owl_Class, uri_owl_Class), icext(uri_owl_Class, uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [39] CLOSURE : iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [45] BETA_IMPLY : (idc(X7_0_2) => ic(X7_0_2))
% 3.30/0.85 -> [121] ~idc(X7_0_2)
% 3.30/0.85 -> [122] ic(X7_0_2)
% 3.30/0.85
% 3.30/0.85 [122] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [129] (icext(uri_owl_Class, uri_owl_Class) <=> ic(uri_owl_Class))
% 3.30/0.85
% 3.30/0.85 [129] BETA_EQUIV : (icext(uri_owl_Class, uri_owl_Class) <=> ic(uri_owl_Class))
% 3.30/0.85 -> [130] ~icext(uri_owl_Class, uri_owl_Class), ~ic(uri_owl_Class)
% 3.30/0.85 -> [131] icext(uri_owl_Class, uri_owl_Class), ic(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [131] CLOSURE : icext(uri_owl_Class, uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [130] CLOSURE : ~ic(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [121] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [156] (icext(uri_owl_Class, uri_owl_Class) <=> ic(uri_owl_Class))
% 3.30/0.85
% 3.30/0.85 [156] BETA_EQUIV : (icext(uri_owl_Class, uri_owl_Class) <=> ic(uri_owl_Class))
% 3.30/0.85 -> [157] ~icext(uri_owl_Class, uri_owl_Class), ~ic(uri_owl_Class)
% 3.30/0.85 -> [158] icext(uri_owl_Class, uri_owl_Class), ic(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [158] CLOSURE : icext(uri_owl_Class, uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [157] CLOSURE : ~ic(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [15] GAMMA_FORALL : ! [X4_4] : (ir(X4_4))
% 3.30/0.85 -> [33] ir(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [33] GAMMA_FORALL : ! [X5_5, C6_6] : ((iext(uri_rdf_type, X5_5, C6_6) <=> icext(C6_6, X5_5)))
% 3.30/0.85 -> [37] (iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) <=> icext(uri_owl_Thing, uri_owl_Class))
% 3.30/0.85
% 3.30/0.85 [37] BETA_EQUIV : (iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) <=> icext(uri_owl_Thing, uri_owl_Class))
% 3.30/0.85 -> [40] ~iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing), ~icext(uri_owl_Thing, uri_owl_Class)
% 3.30/0.85 -> [41] iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing), icext(uri_owl_Thing, uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [41] CLOSURE : iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing)
% 3.30/0.85
% 3.30/0.85 [48] BETA_IMPLY : (idc(X7_1_2) => ic(X7_1_2))
% 3.30/0.85 -> [110] ~idc(X7_1_2)
% 3.30/0.85 -> [111] ic(X7_1_2)
% 3.30/0.85
% 3.30/0.85 [111] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [126] (icext(uri_owl_Class, uri_owl_Class) <=> ic(uri_owl_Class))
% 3.30/0.85
% 3.30/0.85 [126] BETA_EQUIV : (icext(uri_owl_Class, uri_owl_Class) <=> ic(uri_owl_Class))
% 3.30/0.85 -> [127] ~icext(uri_owl_Class, uri_owl_Class), ~ic(uri_owl_Class)
% 3.30/0.85 -> [128] icext(uri_owl_Class, uri_owl_Class), ic(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [127] CLOSURE : ~ic(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [165] BETA_EQUIV : (icext(uri_rdfs_Class, uri_rdfs_Datatype) <=> ic(uri_rdfs_Datatype))
% 3.30/0.85 -> [243] ~icext(uri_rdfs_Class, uri_rdfs_Datatype), ~ic(uri_rdfs_Datatype)
% 3.30/0.85 -> [244] icext(uri_rdfs_Class, uri_rdfs_Datatype), ic(uri_rdfs_Datatype)
% 3.30/0.85
% 3.30/0.85 [243] CLOSURE : ~ic(uri_rdfs_Datatype)
% 3.30/0.85
% 3.30/0.85 [250] BETA_EQUIV : (icext(uri_rdfs_Datatype, X10_7_5) <=> idc(X10_7_5))
% 3.30/0.85 -> [273] ~icext(uri_rdfs_Datatype, X10_7_5), ~idc(X10_7_5)
% 3.30/0.85 -> [274] icext(uri_rdfs_Datatype, X10_7_5), idc(X10_7_5)
% 3.30/0.85
% 3.30/0.85 [274] GAMMA_FORALL : ! [X11_11] : ((icext(uri_owl_Thing, X11_11) <=> ir(X11_11)))
% 3.30/0.85 -> [286] (icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class))
% 3.30/0.85
% 3.30/0.85 [286] BETA_EQUIV : (icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class))
% 3.30/0.85 -> [289] ~icext(uri_owl_Thing, uri_owl_Class), ~ir(uri_owl_Class)
% 3.30/0.85 -> [290] icext(uri_owl_Thing, uri_owl_Class), ir(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [290] CLOSURE : icext(uri_owl_Thing, uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [289] CLOSURE : ~ir(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [273] GAMMA_FORALL : ! [X11_11] : ((icext(uri_owl_Thing, X11_11) <=> ir(X11_11)))
% 3.30/0.85 -> [285] (icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class))
% 3.30/0.85
% 3.30/0.85 [285] BETA_EQUIV : (icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class))
% 3.30/0.85 -> [287] ~icext(uri_owl_Thing, uri_owl_Class), ~ir(uri_owl_Class)
% 3.30/0.85 -> [288] icext(uri_owl_Thing, uri_owl_Class), ir(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [288] CLOSURE : icext(uri_owl_Thing, uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [287] CLOSURE : ~ir(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [110] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [138] (icext(uri_owl_Class, uri_rdfs_Datatype) <=> ic(uri_rdfs_Datatype))
% 3.30/0.85
% 3.30/0.85 [138] BETA_EQUIV : (icext(uri_owl_Class, uri_rdfs_Datatype) <=> ic(uri_rdfs_Datatype))
% 3.30/0.85 -> [139] ~icext(uri_owl_Class, uri_rdfs_Datatype), ~ic(uri_rdfs_Datatype)
% 3.30/0.85 -> [140] icext(uri_owl_Class, uri_rdfs_Datatype), ic(uri_rdfs_Datatype)
% 3.30/0.85
% 3.30/0.85 [139] CLOSURE : ~ic(uri_rdfs_Datatype)
% 3.30/0.85
% 3.30/0.85 [162] BETA_EQUIV : (icext(uri_rdfs_Class, uri_rdfs_Datatype) <=> ic(uri_rdfs_Datatype))
% 3.30/0.85 -> [291] ~icext(uri_rdfs_Class, uri_rdfs_Datatype), ~ic(uri_rdfs_Datatype)
% 3.30/0.85 -> [292] icext(uri_rdfs_Class, uri_rdfs_Datatype), ic(uri_rdfs_Datatype)
% 3.30/0.85
% 3.30/0.85 [291] CLOSURE : ~ic(uri_rdfs_Datatype)
% 3.30/0.85
% 3.30/0.85 [293] BETA_EQUIV : (icext(uri_rdfs_Datatype, X10_9_5) <=> idc(X10_9_5))
% 3.30/0.85 -> [315] ~icext(uri_rdfs_Datatype, X10_9_5), ~idc(X10_9_5)
% 3.30/0.85 -> [316] icext(uri_rdfs_Datatype, X10_9_5), idc(X10_9_5)
% 3.30/0.85
% 3.30/0.85 [315] GAMMA_FORALL : ! [X11_11] : ((icext(uri_owl_Thing, X11_11) <=> ir(X11_11)))
% 3.30/0.85 -> [320] (icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class))
% 3.30/0.85
% 3.30/0.85 [320] BETA_EQUIV : (icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class))
% 3.30/0.85 -> [321] ~icext(uri_owl_Thing, uri_owl_Class), ~ir(uri_owl_Class)
% 3.30/0.85 -> [322] icext(uri_owl_Thing, uri_owl_Class), ir(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [322] CLOSURE : icext(uri_owl_Thing, uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [321] CLOSURE : ~ir(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [316] CLOSURE : idc(X10_9_5)
% 3.30/0.85
% 3.30/0.85 [5] Rewrite : ~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)
% 3.30/0.85 -> [18] ~((ic(uri_owl_Class) & ic(uri_rdfs_Class)) & ! [X17_17] : ((icext(uri_owl_Class, X17_17) <=> icext(uri_rdfs_Class, X17_17))))
% 3.30/0.85
% 3.30/0.85 [18] BETA_NOT_AND : ~((ic(uri_owl_Class) & ic(uri_rdfs_Class)) & ! [X17_17] : ((icext(uri_owl_Class, X17_17) <=> icext(uri_rdfs_Class, X17_17))))
% 3.30/0.85 -> [19] ~(ic(uri_owl_Class) & ic(uri_rdfs_Class))
% 3.30/0.85 -> [20] ~! [X17_17] : ((icext(uri_owl_Class, X17_17) <=> icext(uri_rdfs_Class, X17_17)))
% 3.30/0.85
% 3.30/0.85 [19] BETA_NOT_AND : ~(ic(uri_owl_Class) & ic(uri_rdfs_Class))
% 3.30/0.85 -> [25] ~ic(uri_owl_Class)
% 3.30/0.85 -> [26] ~ic(uri_rdfs_Class)
% 3.30/0.85
% 3.30/0.85 [26] CLOSURE : ~ic(uri_rdfs_Class)
% 3.30/0.85
% 3.30/0.85 [25] CLOSURE : ~ic(uri_owl_Class)
% 3.30/0.85
% 3.30/0.85 [20] DELTA_NOT_FORALL : ~! [X17_17] : ((icext(uri_owl_Class, X17_17) <=> icext(uri_rdfs_Class, X17_17)))
% 3.30/0.85 -> [27] ~(icext(uri_owl_Class, skolem_X1717) <=> icext(uri_rdfs_Class, skolem_X1717))
% 3.30/0.85
% 3.30/0.85 [27] BETA_NOT_EQUIV : ~(icext(uri_owl_Class, skolem_X1717) <=> icext(uri_rdfs_Class, skolem_X1717))
% 3.30/0.85 -> [29] ~icext(uri_owl_Class, skolem_X1717), icext(uri_rdfs_Class, skolem_X1717)
% 3.30/0.85 -> [30] icext(uri_owl_Class, skolem_X1717), ~icext(uri_rdfs_Class, skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [30] GAMMA_FORALL : ! [X4_4] : (ir(X4_4))
% 3.30/0.85 -> [35] ir(X4_3_0)
% 3.30/0.85
% 3.30/0.85 [35] GAMMA_FORALL : ! [X5_5, C6_6] : ((iext(uri_rdf_type, X5_5, C6_6) <=> icext(C6_6, X5_5)))
% 3.30/0.85 -> [51] (iext(uri_rdf_type, skolem_X1717, uri_rdfs_Class) <=> icext(uri_rdfs_Class, skolem_X1717))
% 3.30/0.85
% 3.30/0.85 [51] BETA_EQUIV : (iext(uri_rdf_type, skolem_X1717, uri_rdfs_Class) <=> icext(uri_rdfs_Class, skolem_X1717))
% 3.30/0.85 -> [55] ~iext(uri_rdf_type, skolem_X1717, uri_rdfs_Class), ~icext(uri_rdfs_Class, skolem_X1717)
% 3.30/0.85 -> [56] iext(uri_rdf_type, skolem_X1717, uri_rdfs_Class), icext(uri_rdfs_Class, skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [56] CLOSURE : icext(uri_rdfs_Class, skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [55] GAMMA_FORALL : ! [X7_7] : ((idc(X7_7) => ic(X7_7)))
% 3.30/0.85 -> [80] (idc(X7_4_2) => ic(X7_4_2))
% 3.30/0.85
% 3.30/0.85 [80] BETA_IMPLY : (idc(X7_4_2) => ic(X7_4_2))
% 3.30/0.85 -> [81] ~idc(X7_4_2)
% 3.30/0.85 -> [82] ic(X7_4_2)
% 3.30/0.85
% 3.30/0.85 [81] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [107] (icext(uri_owl_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85
% 3.30/0.85 [107] BETA_EQUIV : (icext(uri_owl_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85 -> [108] ~icext(uri_owl_Class, skolem_X1717), ~ic(skolem_X1717)
% 3.30/0.85 -> [109] icext(uri_owl_Class, skolem_X1717), ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [108] CLOSURE : ~ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [109] GAMMA_FORALL : ! [X9_9] : ((icext(uri_rdfs_Class, X9_9) <=> ic(X9_9)))
% 3.30/0.85 -> [115] (icext(uri_rdfs_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85
% 3.30/0.85 [115] BETA_EQUIV : (icext(uri_rdfs_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85 -> [116] ~icext(uri_rdfs_Class, skolem_X1717), ~ic(skolem_X1717)
% 3.30/0.85 -> [117] icext(uri_rdfs_Class, skolem_X1717), ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [117] CLOSURE : icext(uri_rdfs_Class, skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [116] CLOSURE : ~ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [82] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [104] (icext(uri_owl_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85
% 3.30/0.85 [104] BETA_EQUIV : (icext(uri_owl_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85 -> [105] ~icext(uri_owl_Class, skolem_X1717), ~ic(skolem_X1717)
% 3.30/0.85 -> [106] icext(uri_owl_Class, skolem_X1717), ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [105] CLOSURE : ~ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [106] GAMMA_FORALL : ! [X9_9] : ((icext(uri_rdfs_Class, X9_9) <=> ic(X9_9)))
% 3.30/0.85 -> [112] (icext(uri_rdfs_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85
% 3.30/0.85 [112] BETA_EQUIV : (icext(uri_rdfs_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85 -> [113] ~icext(uri_rdfs_Class, skolem_X1717), ~ic(skolem_X1717)
% 3.30/0.85 -> [114] icext(uri_rdfs_Class, skolem_X1717), ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [114] CLOSURE : icext(uri_rdfs_Class, skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [113] CLOSURE : ~ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [29] GAMMA_FORALL : ! [X4_4] : (ir(X4_4))
% 3.30/0.85 -> [43] ir(X4_5_0)
% 3.30/0.85
% 3.30/0.85 [43] GAMMA_FORALL : ! [X5_5, C6_6] : ((iext(uri_rdf_type, X5_5, C6_6) <=> icext(C6_6, X5_5)))
% 3.30/0.85 -> [44] (iext(uri_rdf_type, skolem_X1717, uri_rdfs_Class) <=> icext(uri_rdfs_Class, skolem_X1717))
% 3.30/0.85
% 3.30/0.85 [44] BETA_EQUIV : (iext(uri_rdf_type, skolem_X1717, uri_rdfs_Class) <=> icext(uri_rdfs_Class, skolem_X1717))
% 3.30/0.85 -> [46] ~iext(uri_rdf_type, skolem_X1717, uri_rdfs_Class), ~icext(uri_rdfs_Class, skolem_X1717)
% 3.30/0.85 -> [47] iext(uri_rdf_type, skolem_X1717, uri_rdfs_Class), icext(uri_rdfs_Class, skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [46] CLOSURE : ~icext(uri_rdfs_Class, skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [47] GAMMA_FORALL : ! [X7_7] : ((idc(X7_7) => ic(X7_7)))
% 3.30/0.85 -> [74] (idc(skolem_X1717) => ic(skolem_X1717))
% 3.30/0.85
% 3.30/0.85 [74] BETA_IMPLY : (idc(skolem_X1717) => ic(skolem_X1717))
% 3.30/0.85 -> [75] ~idc(skolem_X1717)
% 3.30/0.85 -> [76] ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [76] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [86] (icext(uri_owl_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85
% 3.30/0.85 [86] BETA_EQUIV : (icext(uri_owl_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85 -> [87] ~icext(uri_owl_Class, skolem_X1717), ~ic(skolem_X1717)
% 3.30/0.85 -> [88] icext(uri_owl_Class, skolem_X1717), ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [88] CLOSURE : icext(uri_owl_Class, skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [87] CLOSURE : ~ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [75] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [90] (icext(uri_owl_Class, uri_rdfs_Class) <=> ic(uri_rdfs_Class))
% 3.30/0.85
% 3.30/0.85 [90] BETA_EQUIV : (icext(uri_owl_Class, uri_rdfs_Class) <=> ic(uri_rdfs_Class))
% 3.30/0.85 -> [93] ~icext(uri_owl_Class, uri_rdfs_Class), ~ic(uri_rdfs_Class)
% 3.30/0.85 -> [94] icext(uri_owl_Class, uri_rdfs_Class), ic(uri_rdfs_Class)
% 3.30/0.85
% 3.30/0.85 [93] CLOSURE : ~ic(uri_rdfs_Class)
% 3.30/0.85
% 3.30/0.85 [94] GAMMA_FORALL : ! [X9_9] : ((icext(uri_rdfs_Class, X9_9) <=> ic(X9_9)))
% 3.30/0.85 -> [141] (icext(uri_rdfs_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85
% 3.30/0.85 [141] BETA_EQUIV : (icext(uri_rdfs_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85 -> [142] ~icext(uri_rdfs_Class, skolem_X1717), ~ic(skolem_X1717)
% 3.30/0.85 -> [143] icext(uri_rdfs_Class, skolem_X1717), ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [142] CLOSURE : ~ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [143] GAMMA_FORALL : ! [X10_10] : ((icext(uri_rdfs_Datatype, X10_10) <=> idc(X10_10)))
% 3.30/0.85 -> [153] (icext(uri_rdfs_Datatype, X10_2_5) <=> idc(X10_2_5))
% 3.30/0.85
% 3.30/0.85 [153] BETA_EQUIV : (icext(uri_rdfs_Datatype, X10_2_5) <=> idc(X10_2_5))
% 3.30/0.85 -> [154] ~icext(uri_rdfs_Datatype, X10_2_5), ~idc(X10_2_5)
% 3.30/0.85 -> [155] icext(uri_rdfs_Datatype, X10_2_5), idc(X10_2_5)
% 3.30/0.85
% 3.30/0.85 [155] CLOSURE : idc(X10_2_5)
% 3.30/0.85
% 3.30/0.85 [168] BETA_EQUIV : (icext(uri_owl_Thing, X11_3_6) <=> ir(X11_3_6))
% 3.30/0.85 -> [304] ~icext(uri_owl_Thing, X11_3_6), ~ir(X11_3_6)
% 3.30/0.85 -> [305] icext(uri_owl_Thing, X11_3_6), ir(X11_3_6)
% 3.30/0.85
% 3.30/0.85 [304] CLOSURE : ~ir(X11_3_6)
% 3.30/0.85
% 3.30/0.85 [311] BETA_EQUIV : (iext(uri_rdf_type, skolem_X1717, uri_owl_Class) <=> icext(uri_owl_Class, skolem_X1717))
% 3.30/0.85 -> [331] ~iext(uri_rdf_type, skolem_X1717, uri_owl_Class), ~icext(uri_owl_Class, skolem_X1717)
% 3.30/0.85 -> [332] iext(uri_rdf_type, skolem_X1717, uri_owl_Class), icext(uri_owl_Class, skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [332] CLOSURE : icext(uri_owl_Class, skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [331] : ! [X7_7] : ((idc(X7_7) => ic(X7_7)))
% 3.30/0.85 -> [333] ! [X7_7] : ((idc(X7_7) => ic(X7_7)))
% 3.30/0.85
% 3.30/0.85 [333] GAMMA_FORALL : ! [X7_7] : ((idc(X7_7) => ic(X7_7)))
% 3.30/0.85 -> [334] (idc(X7_9_2) => ic(X7_9_2))
% 3.30/0.85
% 3.30/0.85 [334] BETA_IMPLY : (idc(X7_9_2) => ic(X7_9_2))
% 3.30/0.85 -> [335] ~idc(X7_9_2)
% 3.30/0.85 -> [336] ic(X7_9_2)
% 3.30/0.85
% 3.30/0.85 [336] : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [337] ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85
% 3.30/0.85 [337] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [338] (icext(uri_owl_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85
% 3.30/0.85 [338] BETA_EQUIV : (icext(uri_owl_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85 -> [339] ~icext(uri_owl_Class, skolem_X1717), ~ic(skolem_X1717)
% 3.30/0.85 -> [340] icext(uri_owl_Class, skolem_X1717), ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [340] CLOSURE : icext(uri_owl_Class, skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [339] CLOSURE : ~ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [335] : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [341] ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85
% 3.30/0.85 [341] GAMMA_FORALL : ! [X8_8] : ((icext(uri_owl_Class, X8_8) <=> ic(X8_8)))
% 3.30/0.85 -> [342] (icext(uri_owl_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85
% 3.30/0.85 [342] BETA_EQUIV : (icext(uri_owl_Class, skolem_X1717) <=> ic(skolem_X1717))
% 3.30/0.85 -> [343] ~icext(uri_owl_Class, skolem_X1717), ~ic(skolem_X1717)
% 3.30/0.85 -> [344] icext(uri_owl_Class, skolem_X1717), ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [344] CLOSURE : icext(uri_owl_Class, skolem_X1717)
% 3.30/0.85
% 3.30/0.85 [343] CLOSURE : ~ic(skolem_X1717)
% 3.30/0.85
% 3.30/0.85 % SZS output end Proof for theBenchmark.p
% 3.30/0.85 [0.512463s][1][Res] 6602 goroutines created
% 3.30/0.85 ==== Result ====
% 3.30/0.85 [0.512485s][1][Res] VALID
% 3.30/0.85 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------