TSTP Solution File: SWB016+2 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SWB016+2 : 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 08:22:04 EDT 2022
% Result : Theorem 1.00s 0.70s
% Output : Proof 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB016+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % 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
% 0.12/0.34 % DateTime : Sat Sep 3 19:27:30 EDT 2022
% 0.12/0.34 % 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 : 10
% 0.12/0.34 Launch Gotab with destructive = true
% 1.00/0.69 % SZS output start Proof for theBenchmark.p
% 1.00/0.70 [0] ALPHA_AND : (! [P8_8] : ((iext(uri_rdf_type, P8_8, uri_rdf_Property) <=> ip(P8_8))) & ! [X9_9, C10_10] : ((iext(uri_rdf_type, X9_9, C10_10) <=> icext(C10_10, X9_9))) & ! [P11_11, C12_12, X13_13, Y14_14] : (((iext(uri_rdfs_domain, P11_11, C12_12) & iext(P11_11, X13_13, Y14_14)) => icext(C12_12, X13_13))) & iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class) & ip(uri_owl_equivalentClass) & ! [X15_15, Y16_16] : ((iext(uri_owl_equivalentClass, X15_15, Y16_16) => (ic(X15_15) & ic(Y16_16)))) & ~iext(uri_rdfs_subPropertyOf, uri_owl_equivalentClass, uri_rdfs_subClassOf))
% 1.00/0.70 -> [1] ! [P8_8] : ((iext(uri_rdf_type, P8_8, uri_rdf_Property) <=> ip(P8_8))), ! [X9_9, C10_10] : ((iext(uri_rdf_type, X9_9, C10_10) <=> icext(C10_10, X9_9))), ! [P11_11, C12_12, X13_13, Y14_14] : (((iext(uri_rdfs_domain, P11_11, C12_12) & iext(P11_11, X13_13, Y14_14)) => icext(C12_12, X13_13))), iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property), iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class), ip(uri_owl_equivalentClass), ! [X15_15, Y16_16] : ((iext(uri_owl_equivalentClass, X15_15, Y16_16) => (ic(X15_15) & ic(Y16_16)))), ~iext(uri_rdfs_subPropertyOf, uri_owl_equivalentClass, uri_rdfs_subClassOf)
% 1.00/0.70
% 1.00/0.70 [1] Rewrite : ~iext(uri_rdfs_subPropertyOf, uri_owl_equivalentClass, uri_rdfs_subClassOf)
% 1.00/0.70 -> [2] ~((ip(uri_owl_equivalentClass) & ip(uri_rdfs_subClassOf)) & ! [X22_22, Y23_23] : ((iext(uri_owl_equivalentClass, X22_22, Y23_23) => iext(uri_rdfs_subClassOf, X22_22, Y23_23))))
% 1.00/0.70
% 1.00/0.70 [2] BETA_NOT_AND : ~((ip(uri_owl_equivalentClass) & ip(uri_rdfs_subClassOf)) & ! [X22_22, Y23_23] : ((iext(uri_owl_equivalentClass, X22_22, Y23_23) => iext(uri_rdfs_subClassOf, X22_22, Y23_23))))
% 1.00/0.70 -> [3] ~(ip(uri_owl_equivalentClass) & ip(uri_rdfs_subClassOf))
% 1.00/0.70 -> [4] ~! [X22_22, Y23_23] : ((iext(uri_owl_equivalentClass, X22_22, Y23_23) => iext(uri_rdfs_subClassOf, X22_22, Y23_23)))
% 1.00/0.70
% 1.00/0.70 [3] BETA_NOT_AND : ~(ip(uri_owl_equivalentClass) & ip(uri_rdfs_subClassOf))
% 1.00/0.70 -> [5] ~ip(uri_owl_equivalentClass)
% 1.00/0.70 -> [6] ~ip(uri_rdfs_subClassOf)
% 1.00/0.70
% 1.00/0.70 [5] CLOSURE : ~ip(uri_owl_equivalentClass)
% 1.00/0.70
% 1.00/0.70 [6] GAMMA_FORALL : ! [P8_8] : ((iext(uri_rdf_type, P8_8, uri_rdf_Property) <=> ip(P8_8)))
% 1.00/0.70 -> [9] (iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property) <=> ip(uri_rdfs_subClassOf))
% 1.00/0.70
% 1.00/0.70 [9] BETA_EQUIV : (iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property) <=> ip(uri_rdfs_subClassOf))
% 1.00/0.70 -> [10] ~iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property), ~ip(uri_rdfs_subClassOf)
% 1.00/0.70 -> [11] iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property), ip(uri_rdfs_subClassOf)
% 1.00/0.70
% 1.00/0.70 [11] CLOSURE : ip(uri_rdfs_subClassOf)
% 1.00/0.70
% 1.00/0.70 [10] GAMMA_FORALL : ! [X9_9, C10_10] : ((iext(uri_rdf_type, X9_9, C10_10) <=> icext(C10_10, X9_9)))
% 1.00/0.70 -> [16] (iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property) <=> icext(uri_rdf_Property, uri_rdfs_subClassOf))
% 1.00/0.70
% 1.00/0.70 [16] BETA_EQUIV : (iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property) <=> icext(uri_rdf_Property, uri_rdfs_subClassOf))
% 1.00/0.70 -> [17] ~iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property), ~icext(uri_rdf_Property, uri_rdfs_subClassOf)
% 1.00/0.70 -> [18] iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property), icext(uri_rdf_Property, uri_rdfs_subClassOf)
% 1.00/0.70
% 1.00/0.70 [18] CLOSURE : iext(uri_rdf_type, uri_rdfs_subClassOf, uri_rdf_Property)
% 1.00/0.70
% 1.00/0.70 [25] BETA_IMPLY : ((iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class)) => icext(uri_rdf_Property, uri_rdfs_subClassOf))
% 1.00/0.70 -> [41] ~(iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class))
% 1.00/0.70 -> [42] icext(uri_rdf_Property, uri_rdfs_subClassOf)
% 1.00/0.70
% 1.00/0.70 [41] BETA_NOT_AND : ~(iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) & iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class))
% 1.00/0.70 -> [43] ~iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property)
% 1.00/0.70 -> [44] ~iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class)
% 1.00/0.70
% 1.00/0.70 [44] CLOSURE : ~iext(uri_rdfs_domain, uri_rdfs_subClassOf, uri_rdfs_Class)
% 1.00/0.70
% 1.00/0.70 [43] CLOSURE : ~iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property)
% 1.00/0.70
% 1.00/0.70 [42] CLOSURE : icext(uri_rdf_Property, uri_rdfs_subClassOf)
% 1.00/0.70
% 1.00/0.70 [4] DELTA_NOT_FORALL : ~! [X22_22, Y23_23] : ((iext(uri_owl_equivalentClass, X22_22, Y23_23) => iext(uri_rdfs_subClassOf, X22_22, Y23_23)))
% 1.00/0.70 -> [7] ~(iext(uri_owl_equivalentClass, skolem_X2222, skolem_Y2323) => iext(uri_rdfs_subClassOf, skolem_X2222, skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [7] ALPHA_NOT_IMPLY : ~(iext(uri_owl_equivalentClass, skolem_X2222, skolem_Y2323) => iext(uri_rdfs_subClassOf, skolem_X2222, skolem_Y2323))
% 1.00/0.70 -> [8] iext(uri_owl_equivalentClass, skolem_X2222, skolem_Y2323), ~iext(uri_rdfs_subClassOf, skolem_X2222, skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [8] Rewrite : iext(uri_owl_equivalentClass, skolem_X2222, skolem_Y2323)
% 1.00/0.70 -> [12] ((ic(skolem_X2222) & ic(skolem_Y2323)) & ! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26))))
% 1.00/0.70
% 1.00/0.70 [12] Rewrite : ~iext(uri_rdfs_subClassOf, skolem_X2222, skolem_Y2323)
% 1.00/0.70 -> [13] ~((ic(skolem_X2222) & ic(skolem_Y2323)) & ! [X19_19] : ((icext(skolem_X2222, X19_19) => icext(skolem_Y2323, X19_19))))
% 1.00/0.70
% 1.00/0.70 [13] ALPHA_AND : ((ic(skolem_X2222) & ic(skolem_Y2323)) & ! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26))))
% 1.00/0.70 -> [14] (ic(skolem_X2222) & ic(skolem_Y2323)), ! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26)))
% 1.00/0.70
% 1.00/0.70 [14] ALPHA_AND : (ic(skolem_X2222) & ic(skolem_Y2323))
% 1.00/0.70 -> [15] ic(skolem_X2222), ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [15] BETA_NOT_AND : ~((ic(skolem_X2222) & ic(skolem_Y2323)) & ! [X19_19] : ((icext(skolem_X2222, X19_19) => icext(skolem_Y2323, X19_19))))
% 1.00/0.70 -> [19] ~(ic(skolem_X2222) & ic(skolem_Y2323))
% 1.00/0.70 -> [20] ~! [X19_19] : ((icext(skolem_X2222, X19_19) => icext(skolem_Y2323, X19_19)))
% 1.00/0.70
% 1.00/0.70 [19] BETA_NOT_AND : ~(ic(skolem_X2222) & ic(skolem_Y2323))
% 1.00/0.70 -> [21] ~ic(skolem_X2222)
% 1.00/0.70 -> [22] ~ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [22] CLOSURE : ~ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [21] CLOSURE : ~ic(skolem_X2222)
% 1.00/0.70
% 1.00/0.70 [20] DELTA_NOT_FORALL : ~! [X19_19] : ((icext(skolem_X2222, X19_19) => icext(skolem_Y2323, X19_19)))
% 1.00/0.70 -> [23] ~(icext(skolem_X2222, skolem_X1919) => icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70
% 1.00/0.70 [23] ALPHA_NOT_IMPLY : ~(icext(skolem_X2222, skolem_X1919) => icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70 -> [24] icext(skolem_X2222, skolem_X1919), ~icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [24] GAMMA_FORALL : ! [P8_8] : ((iext(uri_rdf_type, P8_8, uri_rdf_Property) <=> ip(P8_8)))
% 1.00/0.70 -> [30] (iext(uri_rdf_type, uri_owl_equivalentClass, uri_rdf_Property) <=> ip(uri_owl_equivalentClass))
% 1.00/0.70
% 1.00/0.70 [30] BETA_EQUIV : (iext(uri_rdf_type, uri_owl_equivalentClass, uri_rdf_Property) <=> ip(uri_owl_equivalentClass))
% 1.00/0.70 -> [31] ~iext(uri_rdf_type, uri_owl_equivalentClass, uri_rdf_Property), ~ip(uri_owl_equivalentClass)
% 1.00/0.70 -> [32] iext(uri_rdf_type, uri_owl_equivalentClass, uri_rdf_Property), ip(uri_owl_equivalentClass)
% 1.00/0.70
% 1.00/0.70 [31] CLOSURE : ~ip(uri_owl_equivalentClass)
% 1.00/0.70
% 1.00/0.70 [33] BETA_EQUIV : (iext(uri_rdf_type, uri_owl_equivalentClass, uri_rdf_Property) <=> icext(uri_rdf_Property, uri_owl_equivalentClass))
% 1.00/0.70 -> [87] ~iext(uri_rdf_type, uri_owl_equivalentClass, uri_rdf_Property), ~icext(uri_rdf_Property, uri_owl_equivalentClass)
% 1.00/0.70 -> [88] iext(uri_rdf_type, uri_owl_equivalentClass, uri_rdf_Property), icext(uri_rdf_Property, uri_owl_equivalentClass)
% 1.00/0.70
% 1.00/0.70 [87] CLOSURE : ~icext(uri_rdf_Property, uri_owl_equivalentClass)
% 1.00/0.70
% 1.00/0.70 [88] GAMMA_FORALL : ! [P11_11, C12_12, X13_13, Y14_14] : (((iext(uri_rdfs_domain, P11_11, C12_12) & iext(P11_11, X13_13, Y14_14)) => icext(C12_12, X13_13)))
% 1.00/0.70 -> [89] ((iext(uri_rdfs_domain, uri_rdfs_subClassOf, skolem_Y2323) & iext(uri_rdfs_subClassOf, skolem_X1919, skolem_Y2323)) => icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70
% 1.00/0.70 [89] BETA_IMPLY : ((iext(uri_rdfs_domain, uri_rdfs_subClassOf, skolem_Y2323) & iext(uri_rdfs_subClassOf, skolem_X1919, skolem_Y2323)) => icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70 -> [90] ~(iext(uri_rdfs_domain, uri_rdfs_subClassOf, skolem_Y2323) & iext(uri_rdfs_subClassOf, skolem_X1919, skolem_Y2323))
% 1.00/0.70 -> [91] icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [91] CLOSURE : icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [90] BETA_NOT_AND : ~(iext(uri_rdfs_domain, uri_rdfs_subClassOf, skolem_Y2323) & iext(uri_rdfs_subClassOf, skolem_X1919, skolem_Y2323))
% 1.00/0.70 -> [94] ~iext(uri_rdfs_domain, uri_rdfs_subClassOf, skolem_Y2323)
% 1.00/0.70 -> [95] ~iext(uri_rdfs_subClassOf, skolem_X1919, skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [94] GAMMA_FORALL : ! [X15_15, Y16_16] : ((iext(uri_owl_equivalentClass, X15_15, Y16_16) => (ic(X15_15) & ic(Y16_16))))
% 1.00/0.70 -> [96] (iext(uri_owl_equivalentClass, skolem_X2222, skolem_Y2323) => (ic(skolem_X2222) & ic(skolem_Y2323)))
% 1.00/0.70
% 1.00/0.70 [96] BETA_IMPLY : (iext(uri_owl_equivalentClass, skolem_X2222, skolem_Y2323) => (ic(skolem_X2222) & ic(skolem_Y2323)))
% 1.00/0.70 -> [98] ~iext(uri_owl_equivalentClass, skolem_X2222, skolem_Y2323)
% 1.00/0.70 -> [99] (ic(skolem_X2222) & ic(skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [99] ALPHA_AND : (ic(skolem_X2222) & ic(skolem_Y2323))
% 1.00/0.70 -> [100] ic(skolem_X2222), ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [100] GAMMA_FORALL : ! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26)))
% 1.00/0.70 -> [113] (icext(skolem_X2222, skolem_X1919) <=> icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70
% 1.00/0.70 [113] BETA_EQUIV : (icext(skolem_X2222, skolem_X1919) <=> icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70 -> [116] ~icext(skolem_X2222, skolem_X1919), ~icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70 -> [117] icext(skolem_X2222, skolem_X1919), icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [116] CLOSURE : ~icext(skolem_X2222, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [117] CLOSURE : icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [98] Rewrite : ~iext(uri_owl_equivalentClass, skolem_X2222, skolem_Y2323)
% 1.00/0.70 -> [105] ~((ic(skolem_X2222) & ic(skolem_Y2323)) & ! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26))))
% 1.00/0.70
% 1.00/0.70 [105] BETA_NOT_AND : ~((ic(skolem_X2222) & ic(skolem_Y2323)) & ! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26))))
% 1.00/0.70 -> [108] ~(ic(skolem_X2222) & ic(skolem_Y2323))
% 1.00/0.70 -> [109] ~! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26)))
% 1.00/0.70
% 1.00/0.70 [108] BETA_NOT_AND : ~(ic(skolem_X2222) & ic(skolem_Y2323))
% 1.00/0.70 -> [110] ~ic(skolem_X2222)
% 1.00/0.70 -> [111] ~ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [110] CLOSURE : ~ic(skolem_X2222)
% 1.00/0.70
% 1.00/0.70 [111] CLOSURE : ~ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [112] BETA_NOT_EQUIV : ~(icext(skolem_X2222, skolem_X2626(skolem_X2222, skolem_Y2323)) <=> icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323)))
% 1.00/0.70 -> [130] ~icext(skolem_X2222, skolem_X2626(skolem_X2222, skolem_Y2323)), icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323))
% 1.00/0.70 -> [131] icext(skolem_X2222, skolem_X2626(skolem_X2222, skolem_Y2323)), ~icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [131] GAMMA_FORALL : ! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26)))
% 1.00/0.70 -> [132] (icext(skolem_X2222, skolem_X2626(skolem_X2222, skolem_Y2323)) <=> icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323)))
% 1.00/0.70
% 1.00/0.70 [132] BETA_EQUIV : (icext(skolem_X2222, skolem_X2626(skolem_X2222, skolem_Y2323)) <=> icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323)))
% 1.00/0.70 -> [134] ~icext(skolem_X2222, skolem_X2626(skolem_X2222, skolem_Y2323)), ~icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323))
% 1.00/0.70 -> [135] icext(skolem_X2222, skolem_X2626(skolem_X2222, skolem_Y2323)), icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [135] CLOSURE : icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [134] CLOSURE : ~icext(skolem_X2222, skolem_X2626(skolem_X2222, skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [130] GAMMA_FORALL : ! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26)))
% 1.00/0.70 -> [133] (icext(skolem_X2222, skolem_X2626(skolem_X2222, skolem_Y2323)) <=> icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323)))
% 1.00/0.70
% 1.00/0.70 [133] BETA_EQUIV : (icext(skolem_X2222, skolem_X2626(skolem_X2222, skolem_Y2323)) <=> icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323)))
% 1.00/0.70 -> [136] ~icext(skolem_X2222, skolem_X2626(skolem_X2222, skolem_Y2323)), ~icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323))
% 1.00/0.70 -> [137] icext(skolem_X2222, skolem_X2626(skolem_X2222, skolem_Y2323)), icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [136] CLOSURE : ~icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [137] CLOSURE : icext(skolem_Y2323, skolem_X2626(skolem_X2222, skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [95] Rewrite : ~iext(uri_rdfs_subClassOf, skolem_X1919, skolem_Y2323)
% 1.00/0.70 -> [97] ~((ic(skolem_X1919) & ic(skolem_Y2323)) & ! [X19_19] : ((icext(skolem_X1919, X19_19) => icext(skolem_Y2323, X19_19))))
% 1.00/0.70
% 1.00/0.70 [97] BETA_NOT_AND : ~((ic(skolem_X1919) & ic(skolem_Y2323)) & ! [X19_19] : ((icext(skolem_X1919, X19_19) => icext(skolem_Y2323, X19_19))))
% 1.00/0.70 -> [101] ~(ic(skolem_X1919) & ic(skolem_Y2323))
% 1.00/0.70 -> [102] ~! [X19_19] : ((icext(skolem_X1919, X19_19) => icext(skolem_Y2323, X19_19)))
% 1.00/0.70
% 1.00/0.70 [101] BETA_NOT_AND : ~(ic(skolem_X1919) & ic(skolem_X2222))
% 1.00/0.70 -> [103] ~ic(skolem_X1919)
% 1.00/0.70 -> [104] ~ic(skolem_X2222)
% 1.00/0.70
% 1.00/0.70 [104] CLOSURE : ~ic(skolem_X2222)
% 1.00/0.70
% 1.00/0.70 [103] GAMMA_FORALL : ! [X15_15, Y16_16] : ((iext(uri_owl_equivalentClass, X15_15, Y16_16) => (ic(X15_15) & ic(Y16_16))))
% 1.00/0.70 -> [118] (iext(uri_owl_equivalentClass, skolem_X1919, skolem_Y2323) => (ic(skolem_X1919) & ic(skolem_Y2323)))
% 1.00/0.70
% 1.00/0.70 [118] BETA_IMPLY : (iext(uri_owl_equivalentClass, skolem_X1919, skolem_Y2323) => (ic(skolem_X1919) & ic(skolem_Y2323)))
% 1.00/0.70 -> [119] ~iext(uri_owl_equivalentClass, skolem_X1919, skolem_Y2323)
% 1.00/0.70 -> [120] (ic(skolem_X1919) & ic(skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [120] ALPHA_AND : (ic(skolem_X1919) & ic(skolem_Y2323))
% 1.00/0.70 -> [121] ic(skolem_X1919), ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [121] CLOSURE : ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [119] BETA_NOT_AND : ~((ic(skolem_X1919) & ic(skolem_Y2323)) & ! [X26_26] : ((icext(skolem_X1919, X26_26) <=> icext(skolem_Y2323, X26_26))))
% 1.00/0.70 -> [146] ~(ic(skolem_X1919) & ic(skolem_Y2323))
% 1.00/0.70 -> [147] ~! [X26_26] : ((icext(skolem_X1919, X26_26) <=> icext(skolem_Y2323, X26_26)))
% 1.00/0.70
% 1.00/0.70 [146] BETA_NOT_AND : ~(ic(skolem_X1919) & ic(skolem_Y2323))
% 1.00/0.70 -> [148] ~ic(skolem_X1919)
% 1.00/0.70 -> [149] ~ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [149] CLOSURE : ~ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [148] GAMMA_FORALL : ! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26)))
% 1.00/0.70 -> [153] (icext(skolem_X2222, skolem_X1919) <=> icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70
% 1.00/0.70 [153] BETA_EQUIV : (icext(skolem_X2222, skolem_X1919) <=> icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70 -> [154] ~icext(skolem_X2222, skolem_X1919), ~icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70 -> [155] icext(skolem_X2222, skolem_X1919), icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [155] CLOSURE : icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [154] CLOSURE : ~icext(skolem_X2222, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [150] BETA_NOT_EQUIV : ~(icext(skolem_X1919, skolem_X2626(skolem_Y2323)) <=> icext(skolem_Y2323, skolem_X2626(skolem_Y2323)))
% 1.00/0.70 -> [156] ~icext(skolem_X1919, skolem_X2626(skolem_Y2323)), icext(skolem_Y2323, skolem_X2626(skolem_Y2323))
% 1.00/0.70 -> [157] icext(skolem_X1919, skolem_X2626(skolem_Y2323)), ~icext(skolem_Y2323, skolem_X2626(skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [157] GAMMA_FORALL : ! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26)))
% 1.00/0.70 -> [158] (icext(skolem_X2222, skolem_X1919) <=> icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70
% 1.00/0.70 [158] BETA_EQUIV : (icext(skolem_X2222, skolem_X1919) <=> icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70 -> [160] ~icext(skolem_X2222, skolem_X1919), ~icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70 -> [161] icext(skolem_X2222, skolem_X1919), icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [161] CLOSURE : icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [160] CLOSURE : ~icext(skolem_X2222, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [156] GAMMA_FORALL : ! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26)))
% 1.00/0.70 -> [159] (icext(skolem_X2222, skolem_X1919) <=> icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70
% 1.00/0.70 [159] BETA_EQUIV : (icext(skolem_X2222, skolem_X1919) <=> icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70 -> [162] ~icext(skolem_X2222, skolem_X1919), ~icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70 -> [163] icext(skolem_X2222, skolem_X1919), icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [162] CLOSURE : ~icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [163] CLOSURE : icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [107] GAMMA_FORALL : ! [X15_15, Y16_16] : ((iext(uri_owl_equivalentClass, X15_15, Y16_16) => (ic(X15_15) & ic(Y16_16))))
% 1.00/0.70 -> [164] (iext(uri_owl_equivalentClass, skolem_Y2323, skolem_Y2323) => (ic(skolem_Y2323) & ic(skolem_Y2323)))
% 1.00/0.70
% 1.00/0.70 [164] BETA_IMPLY : (iext(uri_owl_equivalentClass, skolem_Y2323, skolem_Y2323) => (ic(skolem_Y2323) & ic(skolem_Y2323)))
% 1.00/0.70 -> [165] ~iext(uri_owl_equivalentClass, skolem_Y2323, skolem_Y2323)
% 1.00/0.70 -> [166] (ic(skolem_Y2323) & ic(skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [166] ALPHA_AND : (ic(skolem_Y2323) & ic(skolem_Y2323))
% 1.00/0.70 -> [167] ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [167] GAMMA_FORALL : ! [X26_26] : ((icext(skolem_X2222, X26_26) <=> icext(skolem_Y2323, X26_26)))
% 1.00/0.70 -> [169] (icext(skolem_X2222, skolem_X1919) <=> icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70
% 1.00/0.70 [169] BETA_EQUIV : (icext(skolem_X2222, skolem_X1919) <=> icext(skolem_Y2323, skolem_X1919))
% 1.00/0.70 -> [170] ~icext(skolem_X2222, skolem_X1919), ~icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70 -> [171] icext(skolem_X2222, skolem_X1919), icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [170] CLOSURE : ~icext(skolem_X2222, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [171] CLOSURE : icext(skolem_Y2323, skolem_X1919)
% 1.00/0.70
% 1.00/0.70 [165] Rewrite : ~iext(uri_owl_equivalentClass, skolem_Y2323, skolem_Y2323)
% 1.00/0.70 -> [168] ~((ic(skolem_Y2323) & ic(skolem_Y2323)) & ! [X26_26] : ((icext(skolem_Y2323, X26_26) <=> icext(skolem_Y2323, X26_26))))
% 1.00/0.70
% 1.00/0.70 [168] BETA_NOT_AND : ~((ic(skolem_Y2323) & ic(skolem_Y2323)) & ! [X26_26] : ((icext(skolem_Y2323, X26_26) <=> icext(skolem_Y2323, X26_26))))
% 1.00/0.70 -> [172] ~(ic(skolem_Y2323) & ic(skolem_Y2323))
% 1.00/0.70 -> [173] ~! [X26_26] : ((icext(skolem_Y2323, X26_26) <=> icext(skolem_Y2323, X26_26)))
% 1.00/0.70
% 1.00/0.70 [173] DELTA_NOT_FORALL : ~! [X26_26] : ((icext(skolem_Y2323, X26_26) <=> icext(skolem_Y2323, X26_26)))
% 1.00/0.70 -> [176] ~(icext(skolem_Y2323, skolem_X2626(skolem_Y2323, skolem_Y2323)) <=> icext(skolem_Y2323, skolem_X2626(skolem_Y2323, skolem_Y2323)))
% 1.00/0.70
% 1.00/0.70 [176] BETA_NOT_EQUIV : ~(icext(skolem_Y2323, skolem_X2626(skolem_Y2323, skolem_Y2323)) <=> icext(skolem_Y2323, skolem_X2626(skolem_Y2323, skolem_Y2323)))
% 1.00/0.70 -> [177] ~icext(skolem_Y2323, skolem_X2626(skolem_Y2323, skolem_Y2323)), icext(skolem_Y2323, skolem_X2626(skolem_Y2323, skolem_Y2323))
% 1.00/0.70 -> [178] icext(skolem_Y2323, skolem_X2626(skolem_Y2323, skolem_Y2323)), ~icext(skolem_Y2323, skolem_X2626(skolem_Y2323, skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [177] CLOSURE : icext(skolem_Y2323, skolem_X2626(skolem_Y2323, skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [178] CLOSURE : ~icext(skolem_Y2323, skolem_X2626(skolem_Y2323, skolem_Y2323))
% 1.00/0.70
% 1.00/0.70 [172] BETA_NOT_AND : ~(ic(skolem_Y2323) & ic(skolem_Y2323))
% 1.00/0.70 -> [179] ~ic(skolem_Y2323)
% 1.00/0.70 -> [180] ~ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [179] CLOSURE : ~ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 [180] CLOSURE : ~ic(skolem_Y2323)
% 1.00/0.70
% 1.00/0.70 % SZS output end Proof for theBenchmark.p
% 1.00/0.70 [0.355340s][1][Res] 2136 goroutines created
% 1.00/0.70 ==== Result ====
% 1.00/0.70 [0.355387s][1][Res] VALID
% 1.00/0.70 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------