TSTP Solution File: SWB005+2 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SWB005+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n027.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 08:21:56 EDT 2022
% Result : Theorem 2.53s 0.75s
% Output : Proof 2.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB005+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Sep 3 19:28:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 [DMT] DMT loaded with preskolemization
% 0.12/0.35 [EQ] equality loaded.
% 0.12/0.35 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 7
% 0.12/0.35 Launch Gotab with destructive = true
% 2.53/0.75 % SZS output start Proof for theBenchmark.p
% 2.53/0.75 [0] ALPHA_AND : (! [X5_5] : (ir(X5_5)) & ! [S6_6, P7_7, O8_8] : ((iext(P7_7, S6_6, O8_8) => ip(P7_7))) & ! [P9_9] : ((iext(uri_rdf_type, P9_9, uri_rdf_Property) <=> ip(P9_9))) & ! [X10_10, C11_11] : ((iext(uri_rdf_type, X10_10, C11_11) <=> icext(C11_11, X10_10))) & ! [X12_12] : ((ir(X12_12) <=> icext(uri_rdfs_Resource, X12_12))) & ! [X13_13] : ((icext(uri_owl_Thing, X13_13) <=> ir(X13_13))) & ! [X14_14] : ((icext(uri_owl_ObjectProperty, X14_14) <=> ip(X14_14))) & iext(uri_ex_p, uri_ex_s, uri_ex_o) & ~(((((((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_p, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdf_Property)) & iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty)) & iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_o, uri_owl_Thing)))
% 2.53/0.75 -> [1] ! [X5_5] : (ir(X5_5)), ! [S6_6, P7_7, O8_8] : ((iext(P7_7, S6_6, O8_8) => ip(P7_7))), ! [P9_9] : ((iext(uri_rdf_type, P9_9, uri_rdf_Property) <=> ip(P9_9))), ! [X10_10, C11_11] : ((iext(uri_rdf_type, X10_10, C11_11) <=> icext(C11_11, X10_10))), ! [X12_12] : ((ir(X12_12) <=> icext(uri_rdfs_Resource, X12_12))), ! [X13_13] : ((icext(uri_owl_Thing, X13_13) <=> ir(X13_13))), ! [X14_14] : ((icext(uri_owl_ObjectProperty, X14_14) <=> ip(X14_14))), iext(uri_ex_p, uri_ex_s, uri_ex_o), ~(((((((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_p, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdf_Property)) & iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty)) & iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_o, uri_owl_Thing))
% 2.53/0.75
% 2.53/0.75 [1] BETA_NOT_AND : ~(((((((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_p, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdf_Property)) & iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty)) & iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_o, uri_owl_Thing))
% 2.53/0.75 -> [2] ~((((((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_p, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdf_Property)) & iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty)) & iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource))
% 2.53/0.75 -> [3] ~iext(uri_rdf_type, uri_ex_o, uri_owl_Thing)
% 2.53/0.75
% 2.53/0.75 [2] BETA_NOT_AND : ~((((((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_p, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdf_Property)) & iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty)) & iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource))
% 2.53/0.75 -> [5] ~(((((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_p, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdf_Property)) & iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty))
% 2.53/0.75 -> [6] ~iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource)
% 2.53/0.75
% 2.53/0.75 [6] GAMMA_FORALL : ! [X5_5] : (ir(X5_5))
% 2.53/0.75 -> [9] ir(uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [9] GAMMA_FORALL : ! [S6_6, P7_7, O8_8] : ((iext(P7_7, S6_6, O8_8) => ip(P7_7)))
% 2.53/0.75 -> [30] (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [30] BETA_IMPLY : (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75 -> [31] ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75 -> [32] ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [31] CLOSURE : ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [51] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_p, uri_rdf_Property) <=> ip(uri_ex_p))
% 2.53/0.75 -> [135] ~iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ~ip(uri_ex_p)
% 2.53/0.75 -> [136] iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [136] GAMMA_FORALL : ! [X10_10, C11_11] : ((iext(uri_rdf_type, X10_10, C11_11) <=> icext(C11_11, X10_10)))
% 2.53/0.75 -> [137] (iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource) <=> icext(uri_rdfs_Resource, uri_ex_o))
% 2.53/0.75
% 2.53/0.75 [137] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource) <=> icext(uri_rdfs_Resource, uri_ex_o))
% 2.53/0.75 -> [138] ~iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource), ~icext(uri_rdfs_Resource, uri_ex_o)
% 2.53/0.75 -> [139] iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource), icext(uri_rdfs_Resource, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [139] CLOSURE : iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource)
% 2.53/0.75
% 2.53/0.75 [138] GAMMA_FORALL : ! [X12_12] : ((ir(X12_12) <=> icext(uri_rdfs_Resource, X12_12)))
% 2.53/0.75 -> [153] (ir(uri_ex_o) <=> icext(uri_rdfs_Resource, uri_ex_o))
% 2.53/0.75
% 2.53/0.75 [153] BETA_EQUIV : (ir(uri_ex_o) <=> icext(uri_rdfs_Resource, uri_ex_o))
% 2.53/0.75 -> [154] ~ir(uri_ex_o), ~icext(uri_rdfs_Resource, uri_ex_o)
% 2.53/0.75 -> [155] ir(uri_ex_o), icext(uri_rdfs_Resource, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [155] CLOSURE : icext(uri_rdfs_Resource, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [154] CLOSURE : ~ir(uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [135] CLOSURE : ~ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [5] BETA_NOT_AND : ~(((((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_p, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdf_Property)) & iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty))
% 2.53/0.75 -> [7] ~((((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_p, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdf_Property))
% 2.53/0.75 -> [8] ~iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty)
% 2.53/0.75
% 2.53/0.75 [7] BETA_NOT_AND : ~((((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_p, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdf_Property))
% 2.53/0.75 -> [12] ~(((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_p, uri_owl_Thing))
% 2.53/0.75 -> [13] ~iext(uri_rdf_type, uri_ex_p, uri_rdf_Property)
% 2.53/0.75
% 2.53/0.75 [13] GAMMA_FORALL : ! [X5_5] : (ir(X5_5))
% 2.53/0.75 -> [18] ir(X5_3_0)
% 2.53/0.75
% 2.53/0.75 [18] GAMMA_FORALL : ! [S6_6, P7_7, O8_8] : ((iext(P7_7, S6_6, O8_8) => ip(P7_7)))
% 2.53/0.75 -> [39] (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [39] BETA_IMPLY : (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75 -> [40] ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75 -> [41] ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [40] CLOSURE : ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [54] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_p, uri_rdf_Property) <=> ip(uri_ex_p))
% 2.53/0.75 -> [102] ~iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ~ip(uri_ex_p)
% 2.53/0.75 -> [103] iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [103] CLOSURE : iext(uri_rdf_type, uri_ex_p, uri_rdf_Property)
% 2.53/0.75
% 2.53/0.75 [102] CLOSURE : ~ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [12] BETA_NOT_AND : ~(((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)) & iext(uri_rdf_type, uri_ex_p, uri_owl_Thing))
% 2.53/0.75 -> [16] ~((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource))
% 2.53/0.75 -> [17] ~iext(uri_rdf_type, uri_ex_p, uri_owl_Thing)
% 2.53/0.75
% 2.53/0.75 [16] BETA_NOT_AND : ~((iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)) & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource))
% 2.53/0.75 -> [20] ~(iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing))
% 2.53/0.75 -> [21] ~iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)
% 2.53/0.75
% 2.53/0.75 [21] GAMMA_FORALL : ! [X5_5] : (ir(X5_5))
% 2.53/0.75 -> [27] ir(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [27] GAMMA_FORALL : ! [S6_6, P7_7, O8_8] : ((iext(P7_7, S6_6, O8_8) => ip(P7_7)))
% 2.53/0.75 -> [42] (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [42] BETA_IMPLY : (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75 -> [43] ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75 -> [44] ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [43] CLOSURE : ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [66] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_p, uri_rdf_Property) <=> ip(uri_ex_p))
% 2.53/0.75 -> [140] ~iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ~ip(uri_ex_p)
% 2.53/0.75 -> [141] iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [140] CLOSURE : ~ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [144] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource) <=> icext(uri_rdfs_Resource, uri_ex_p))
% 2.53/0.75 -> [184] ~iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource), ~icext(uri_rdfs_Resource, uri_ex_p)
% 2.53/0.75 -> [185] iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource), icext(uri_rdfs_Resource, uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [185] CLOSURE : iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource)
% 2.53/0.75
% 2.53/0.75 [184] GAMMA_FORALL : ! [X12_12] : ((ir(X12_12) <=> icext(uri_rdfs_Resource, X12_12)))
% 2.53/0.75 -> [197] (ir(uri_ex_p) <=> icext(uri_rdfs_Resource, uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [197] BETA_EQUIV : (ir(uri_ex_p) <=> icext(uri_rdfs_Resource, uri_ex_p))
% 2.53/0.75 -> [198] ~ir(uri_ex_p), ~icext(uri_rdfs_Resource, uri_ex_p)
% 2.53/0.75 -> [199] ir(uri_ex_p), icext(uri_rdfs_Resource, uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [199] CLOSURE : icext(uri_rdfs_Resource, uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [198] CLOSURE : ~ir(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [20] BETA_NOT_AND : ~(iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) & iext(uri_rdf_type, uri_ex_s, uri_owl_Thing))
% 2.53/0.75 -> [25] ~iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource)
% 2.53/0.75 -> [26] ~iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)
% 2.53/0.75
% 2.53/0.75 [26] GAMMA_FORALL : ! [X5_5] : (ir(X5_5))
% 2.53/0.75 -> [28] ir(uri_ex_s)
% 2.53/0.75
% 2.53/0.75 [28] GAMMA_FORALL : ! [S6_6, P7_7, O8_8] : ((iext(P7_7, S6_6, O8_8) => ip(P7_7)))
% 2.53/0.75 -> [45] (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [45] BETA_IMPLY : (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75 -> [46] ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75 -> [47] ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [46] CLOSURE : ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [70] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_p, uri_rdf_Property) <=> ip(uri_ex_p))
% 2.53/0.75 -> [165] ~iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ~ip(uri_ex_p)
% 2.53/0.75 -> [166] iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [166] GAMMA_FORALL : ! [X10_10, C11_11] : ((iext(uri_rdf_type, X10_10, C11_11) <=> icext(C11_11, X10_10)))
% 2.53/0.75 -> [169] (iext(uri_rdf_type, uri_ex_s, uri_owl_Thing) <=> icext(uri_owl_Thing, uri_ex_s))
% 2.53/0.75
% 2.53/0.75 [169] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_s, uri_owl_Thing) <=> icext(uri_owl_Thing, uri_ex_s))
% 2.53/0.75 -> [170] ~iext(uri_rdf_type, uri_ex_s, uri_owl_Thing), ~icext(uri_owl_Thing, uri_ex_s)
% 2.53/0.75 -> [171] iext(uri_rdf_type, uri_ex_s, uri_owl_Thing), icext(uri_owl_Thing, uri_ex_s)
% 2.53/0.75
% 2.53/0.75 [171] CLOSURE : iext(uri_rdf_type, uri_ex_s, uri_owl_Thing)
% 2.53/0.75
% 2.53/0.75 [170] GAMMA_FORALL : ! [X12_12] : ((ir(X12_12) <=> icext(uri_rdfs_Resource, X12_12)))
% 2.53/0.75 -> [186] (ir(uri_ex_s) <=> icext(uri_rdfs_Resource, uri_ex_s))
% 2.53/0.75
% 2.53/0.75 [186] BETA_EQUIV : (ir(uri_ex_s) <=> icext(uri_rdfs_Resource, uri_ex_s))
% 2.53/0.75 -> [187] ~ir(uri_ex_s), ~icext(uri_rdfs_Resource, uri_ex_s)
% 2.53/0.75 -> [188] ir(uri_ex_s), icext(uri_rdfs_Resource, uri_ex_s)
% 2.53/0.75
% 2.53/0.75 [188] GAMMA_FORALL : ! [X13_13] : ((icext(uri_owl_Thing, X13_13) <=> ir(X13_13)))
% 2.53/0.75 -> [194] (icext(uri_owl_Thing, uri_ex_s) <=> ir(uri_ex_s))
% 2.53/0.75
% 2.53/0.75 [194] BETA_EQUIV : (icext(uri_owl_Thing, uri_ex_s) <=> ir(uri_ex_s))
% 2.53/0.75 -> [195] ~icext(uri_owl_Thing, uri_ex_s), ~ir(uri_ex_s)
% 2.53/0.75 -> [196] icext(uri_owl_Thing, uri_ex_s), ir(uri_ex_s)
% 2.53/0.75
% 2.53/0.75 [196] CLOSURE : icext(uri_owl_Thing, uri_ex_s)
% 2.53/0.75
% 2.53/0.75 [195] CLOSURE : ~ir(uri_ex_s)
% 2.53/0.75
% 2.53/0.75 [187] CLOSURE : ~ir(uri_ex_s)
% 2.53/0.75
% 2.53/0.75 [165] CLOSURE : ~ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [25] GAMMA_FORALL : ! [X5_5] : (ir(X5_5))
% 2.53/0.75 -> [29] ir(uri_ex_s)
% 2.53/0.75
% 2.53/0.75 [29] GAMMA_FORALL : ! [S6_6, P7_7, O8_8] : ((iext(P7_7, S6_6, O8_8) => ip(P7_7)))
% 2.53/0.75 -> [48] (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [48] BETA_IMPLY : (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75 -> [49] ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75 -> [50] ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [49] CLOSURE : ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [78] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_p, uri_rdf_Property) <=> ip(uri_ex_p))
% 2.53/0.75 -> [203] ~iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ~ip(uri_ex_p)
% 2.53/0.75 -> [204] iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [204] GAMMA_FORALL : ! [X10_10, C11_11] : ((iext(uri_rdf_type, X10_10, C11_11) <=> icext(C11_11, X10_10)))
% 2.53/0.75 -> [211] (iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) <=> icext(uri_rdfs_Resource, uri_ex_s))
% 2.53/0.75
% 2.53/0.75 [211] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) <=> icext(uri_rdfs_Resource, uri_ex_s))
% 2.53/0.75 -> [212] ~iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource), ~icext(uri_rdfs_Resource, uri_ex_s)
% 2.53/0.75 -> [213] iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource), icext(uri_rdfs_Resource, uri_ex_s)
% 2.53/0.75
% 2.53/0.75 [213] CLOSURE : iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource)
% 2.53/0.75
% 2.53/0.75 [212] GAMMA_FORALL : ! [X12_12] : ((ir(X12_12) <=> icext(uri_rdfs_Resource, X12_12)))
% 2.53/0.75 -> [225] (ir(uri_ex_s) <=> icext(uri_rdfs_Resource, uri_ex_s))
% 2.53/0.75
% 2.53/0.75 [225] BETA_EQUIV : (ir(uri_ex_s) <=> icext(uri_rdfs_Resource, uri_ex_s))
% 2.53/0.75 -> [226] ~ir(uri_ex_s), ~icext(uri_rdfs_Resource, uri_ex_s)
% 2.53/0.75 -> [227] ir(uri_ex_s), icext(uri_rdfs_Resource, uri_ex_s)
% 2.53/0.75
% 2.53/0.75 [227] CLOSURE : icext(uri_rdfs_Resource, uri_ex_s)
% 2.53/0.75
% 2.53/0.75 [226] CLOSURE : ~ir(uri_ex_s)
% 2.53/0.75
% 2.53/0.75 [203] CLOSURE : ~ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [17] GAMMA_FORALL : ! [X5_5] : (ir(X5_5))
% 2.53/0.75 -> [19] ir(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [19] GAMMA_FORALL : ! [S6_6, P7_7, O8_8] : ((iext(P7_7, S6_6, O8_8) => ip(P7_7)))
% 2.53/0.75 -> [36] (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [36] BETA_IMPLY : (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75 -> [37] ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75 -> [38] ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [37] CLOSURE : ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [57] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_p, uri_rdf_Property) <=> ip(uri_ex_p))
% 2.53/0.75 -> [217] ~iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ~ip(uri_ex_p)
% 2.53/0.75 -> [218] iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [218] GAMMA_FORALL : ! [X10_10, C11_11] : ((iext(uri_rdf_type, X10_10, C11_11) <=> icext(C11_11, X10_10)))
% 2.53/0.75 -> [222] (iext(uri_rdf_type, uri_ex_p, uri_owl_Thing) <=> icext(uri_owl_Thing, uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [222] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_p, uri_owl_Thing) <=> icext(uri_owl_Thing, uri_ex_p))
% 2.53/0.75 -> [223] ~iext(uri_rdf_type, uri_ex_p, uri_owl_Thing), ~icext(uri_owl_Thing, uri_ex_p)
% 2.53/0.75 -> [224] iext(uri_rdf_type, uri_ex_p, uri_owl_Thing), icext(uri_owl_Thing, uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [224] CLOSURE : iext(uri_rdf_type, uri_ex_p, uri_owl_Thing)
% 2.53/0.75
% 2.53/0.75 [223] GAMMA_FORALL : ! [X12_12] : ((ir(X12_12) <=> icext(uri_rdfs_Resource, X12_12)))
% 2.53/0.75 -> [228] (ir(uri_ex_p) <=> icext(uri_rdfs_Resource, uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [228] BETA_EQUIV : (ir(uri_ex_p) <=> icext(uri_rdfs_Resource, uri_ex_p))
% 2.53/0.75 -> [229] ~ir(uri_ex_p), ~icext(uri_rdfs_Resource, uri_ex_p)
% 2.53/0.75 -> [230] ir(uri_ex_p), icext(uri_rdfs_Resource, uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [229] CLOSURE : ~ir(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [234] BETA_EQUIV : (icext(uri_owl_Thing, uri_ex_p) <=> ir(uri_ex_p))
% 2.53/0.75 -> [245] ~icext(uri_owl_Thing, uri_ex_p), ~ir(uri_ex_p)
% 2.53/0.75 -> [246] icext(uri_owl_Thing, uri_ex_p), ir(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [246] CLOSURE : icext(uri_owl_Thing, uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [245] CLOSURE : ~ir(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [217] CLOSURE : ~ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [8] GAMMA_FORALL : ! [X5_5] : (ir(X5_5))
% 2.53/0.75 -> [11] ir(X5_2_0)
% 2.53/0.75
% 2.53/0.75 [11] GAMMA_FORALL : ! [S6_6, P7_7, O8_8] : ((iext(P7_7, S6_6, O8_8) => ip(P7_7)))
% 2.53/0.75 -> [22] (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [22] BETA_IMPLY : (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75 -> [23] ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75 -> [24] ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [23] CLOSURE : ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [63] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_p, uri_rdf_Property) <=> ip(uri_ex_p))
% 2.53/0.75 -> [258] ~iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ~ip(uri_ex_p)
% 2.53/0.75 -> [259] iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [258] CLOSURE : ~ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [259] GAMMA_FORALL : ! [X10_10, C11_11] : ((iext(uri_rdf_type, X10_10, C11_11) <=> icext(C11_11, X10_10)))
% 2.53/0.75 -> [260] (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) <=> icext(uri_owl_ObjectProperty, uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [260] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) <=> icext(uri_owl_ObjectProperty, uri_ex_p))
% 2.53/0.75 -> [261] ~iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty), ~icext(uri_owl_ObjectProperty, uri_ex_p)
% 2.53/0.75 -> [262] iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty), icext(uri_owl_ObjectProperty, uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [262] CLOSURE : iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty)
% 2.53/0.75
% 2.53/0.75 [261] GAMMA_FORALL : ! [X12_12] : ((ir(X12_12) <=> icext(uri_rdfs_Resource, X12_12)))
% 2.53/0.75 -> [263] (ir(X12_21_4) <=> icext(uri_rdfs_Resource, X12_21_4))
% 2.53/0.75
% 2.53/0.75 [263] BETA_EQUIV : (ir(X12_21_4) <=> icext(uri_rdfs_Resource, X12_21_4))
% 2.53/0.75 -> [264] ~ir(X12_21_4), ~icext(uri_rdfs_Resource, X12_21_4)
% 2.53/0.75 -> [265] ir(X12_21_4), icext(uri_rdfs_Resource, X12_21_4)
% 2.53/0.75
% 2.53/0.75 [264] CLOSURE : ~ir(X12_21_4)
% 2.53/0.75
% 2.53/0.75 [265] GAMMA_FORALL : ! [X13_13] : ((icext(uri_owl_Thing, X13_13) <=> ir(X13_13)))
% 2.53/0.75 -> [268] (icext(uri_owl_Thing, X13_13_5) <=> ir(X13_13_5))
% 2.53/0.75
% 2.53/0.75 [268] BETA_EQUIV : (icext(uri_owl_Thing, X13_13_5) <=> ir(X13_13_5))
% 2.53/0.75 -> [269] ~icext(uri_owl_Thing, X13_13_5), ~ir(X13_13_5)
% 2.53/0.75 -> [270] icext(uri_owl_Thing, X13_13_5), ir(X13_13_5)
% 2.53/0.75
% 2.53/0.75 [269] CLOSURE : ~ir(X13_13_5)
% 2.53/0.75
% 2.53/0.75 [270] GAMMA_FORALL : ! [X14_14] : ((icext(uri_owl_ObjectProperty, X14_14) <=> ip(X14_14)))
% 2.53/0.75 -> [271] (icext(uri_owl_ObjectProperty, uri_ex_p) <=> ip(uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [271] BETA_EQUIV : (icext(uri_owl_ObjectProperty, uri_ex_p) <=> ip(uri_ex_p))
% 2.53/0.75 -> [272] ~icext(uri_owl_ObjectProperty, uri_ex_p), ~ip(uri_ex_p)
% 2.53/0.75 -> [273] icext(uri_owl_ObjectProperty, uri_ex_p), ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [272] CLOSURE : ~ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [273] CLOSURE : icext(uri_owl_ObjectProperty, uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [3] GAMMA_FORALL : ! [X5_5] : (ir(X5_5))
% 2.53/0.75 -> [4] ir(uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [4] GAMMA_FORALL : ! [S6_6, P7_7, O8_8] : ((iext(P7_7, S6_6, O8_8) => ip(P7_7)))
% 2.53/0.75 -> [10] (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75
% 2.53/0.75 [10] BETA_IMPLY : (iext(uri_ex_p, uri_ex_s, uri_ex_o) => ip(uri_ex_p))
% 2.53/0.75 -> [14] ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75 -> [15] ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [14] CLOSURE : ~iext(uri_ex_p, uri_ex_s, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [33] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_p, uri_rdf_Property) <=> ip(uri_ex_p))
% 2.53/0.75 -> [247] ~iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ~ip(uri_ex_p)
% 2.53/0.75 -> [248] iext(uri_rdf_type, uri_ex_p, uri_rdf_Property), ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [247] CLOSURE : ~ip(uri_ex_p)
% 2.53/0.75
% 2.53/0.75 [249] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_o, uri_owl_Thing) <=> icext(uri_owl_Thing, uri_ex_o))
% 2.53/0.75 -> [274] ~iext(uri_rdf_type, uri_ex_o, uri_owl_Thing), ~icext(uri_owl_Thing, uri_ex_o)
% 2.53/0.75 -> [275] iext(uri_rdf_type, uri_ex_o, uri_owl_Thing), icext(uri_owl_Thing, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [275] CLOSURE : iext(uri_rdf_type, uri_ex_o, uri_owl_Thing)
% 2.53/0.75
% 2.53/0.75 [274] GAMMA_FORALL : ! [X12_12] : ((ir(X12_12) <=> icext(uri_rdfs_Resource, X12_12)))
% 2.53/0.75 -> [285] (ir(uri_ex_o) <=> icext(uri_rdfs_Resource, uri_ex_o))
% 2.53/0.75
% 2.53/0.75 [285] BETA_EQUIV : (ir(uri_ex_o) <=> icext(uri_rdfs_Resource, uri_ex_o))
% 2.53/0.75 -> [286] ~ir(uri_ex_o), ~icext(uri_rdfs_Resource, uri_ex_o)
% 2.53/0.75 -> [287] ir(uri_ex_o), icext(uri_rdfs_Resource, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [287] GAMMA_FORALL : ! [X13_13] : ((icext(uri_owl_Thing, X13_13) <=> ir(X13_13)))
% 2.53/0.75 -> [288] (icext(uri_owl_Thing, uri_ex_o) <=> ir(uri_ex_o))
% 2.53/0.75
% 2.53/0.75 [288] BETA_EQUIV : (icext(uri_owl_Thing, uri_ex_o) <=> ir(uri_ex_o))
% 2.53/0.75 -> [289] ~icext(uri_owl_Thing, uri_ex_o), ~ir(uri_ex_o)
% 2.53/0.75 -> [290] icext(uri_owl_Thing, uri_ex_o), ir(uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [290] CLOSURE : icext(uri_owl_Thing, uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [289] CLOSURE : ~ir(uri_ex_o)
% 2.53/0.75
% 2.53/0.75 [286] CLOSURE : ~ir(uri_ex_o)
% 2.53/0.75
% 2.53/0.75 % SZS output end Proof for theBenchmark.p
% 2.53/0.75 [0.403008s][1][Res] 3644 goroutines created
% 2.53/0.75 ==== Result ====
% 2.53/0.75 [0.403030s][1][Res] VALID
% 2.53/0.75 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------