TSTP Solution File: SWB029+2 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SWB029+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n026.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 08:22:12 EDT 2022
% Result : Theorem 11.39s 4.74s
% Output : Proof 11.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWB029+2 : TPTP v8.1.0. Released v5.2.0.
% 0.00/0.09 % Command : goeland -dmt -presko -proof %s
% 0.08/0.28 % Computer : n026.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sat Sep 3 20:08:09 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.08/0.29 [DMT] DMT loaded with preskolemization
% 0.08/0.29 [EQ] equality loaded.
% 0.08/0.29 [0.000033s][1][MAIN] Problem : theBenchmark.p
% 0.08/0.29 Start search
% 0.08/0.29 nb_step : 1 - limit : 6
% 0.08/0.29 Launch Gotab with destructive = true
% 11.39/4.73 % SZS output start Proof for theBenchmark.p
% 11.39/4.74 [0] ALPHA_AND : (! [X11_11, C12_12] : ((iext(uri_rdf_type, X11_11, C12_12) <=> icext(C12_12, X11_11))) & ! [Z13_13, C14_14] : ((iext(uri_owl_complementOf, Z13_13, C14_14) => ((ic(Z13_13) & ic(C14_14)) & ! [X15_15] : ((icext(Z13_13, X15_15) <=> ~icext(C14_14, X15_15)))))) & ! [Z16_16, S117_17, C118_18, S219_19, C220_20] : (((((iext(uri_rdf_first, S117_17, C118_18) & iext(uri_rdf_rest, S117_17, S219_19)) & iext(uri_rdf_first, S219_19, C220_20)) & iext(uri_rdf_rest, S219_19, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z16_16, S117_17) <=> (((ic(Z16_16) & ic(C118_18)) & ic(C220_20)) & ! [X21_21] : ((icext(Z16_16, X21_21) <=> (icext(C118_18, X21_21) & icext(C220_20, X21_21)))))))) & ? [BNODE_x22_22, BNODE_y23_23, BNODE_l124_24, BNODE_l225_25] : (((((((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, BNODE_x22_22)) & iext(uri_owl_intersectionOf, BNODE_x22_22, BNODE_l124_24)) & iext(uri_rdf_first, BNODE_l124_24, uri_ex_A)) & iext(uri_rdf_rest, BNODE_l124_24, BNODE_l225_25)) & iext(uri_rdf_first, BNODE_l225_25, BNODE_y23_23)) & iext(uri_rdf_rest, BNODE_l225_25, uri_rdf_nil)) & iext(uri_owl_complementOf, BNODE_y23_23, uri_ex_A))) & ~iext(uri_rdf_type, uri_ex_w, uri_ex_B))
% 11.39/4.74 -> [1] ! [X11_11, C12_12] : ((iext(uri_rdf_type, X11_11, C12_12) <=> icext(C12_12, X11_11))), ! [Z13_13, C14_14] : ((iext(uri_owl_complementOf, Z13_13, C14_14) => ((ic(Z13_13) & ic(C14_14)) & ! [X15_15] : ((icext(Z13_13, X15_15) <=> ~icext(C14_14, X15_15)))))), ! [Z16_16, S117_17, C118_18, S219_19, C220_20] : (((((iext(uri_rdf_first, S117_17, C118_18) & iext(uri_rdf_rest, S117_17, S219_19)) & iext(uri_rdf_first, S219_19, C220_20)) & iext(uri_rdf_rest, S219_19, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, Z16_16, S117_17) <=> (((ic(Z16_16) & ic(C118_18)) & ic(C220_20)) & ! [X21_21] : ((icext(Z16_16, X21_21) <=> (icext(C118_18, X21_21) & icext(C220_20, X21_21)))))))), ? [BNODE_x22_22, BNODE_y23_23, BNODE_l124_24, BNODE_l225_25] : (((((((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, BNODE_x22_22)) & iext(uri_owl_intersectionOf, BNODE_x22_22, BNODE_l124_24)) & iext(uri_rdf_first, BNODE_l124_24, uri_ex_A)) & iext(uri_rdf_rest, BNODE_l124_24, BNODE_l225_25)) & iext(uri_rdf_first, BNODE_l225_25, BNODE_y23_23)) & iext(uri_rdf_rest, BNODE_l225_25, uri_rdf_nil)) & iext(uri_owl_complementOf, BNODE_y23_23, uri_ex_A))), ~iext(uri_rdf_type, uri_ex_w, uri_ex_B)
% 11.39/4.74
% 11.39/4.74 [1] DELTA_EXISTS : ? [BNODE_x22_22, BNODE_y23_23, BNODE_l124_24, BNODE_l225_25] : (((((((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, BNODE_x22_22)) & iext(uri_owl_intersectionOf, BNODE_x22_22, BNODE_l124_24)) & iext(uri_rdf_first, BNODE_l124_24, uri_ex_A)) & iext(uri_rdf_rest, BNODE_l124_24, BNODE_l225_25)) & iext(uri_rdf_first, BNODE_l225_25, BNODE_y23_23)) & iext(uri_rdf_rest, BNODE_l225_25, uri_rdf_nil)) & iext(uri_owl_complementOf, BNODE_y23_23, uri_ex_A)))
% 11.39/4.74 -> [2] ((((((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)) & iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)) & iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A)) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)) & iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323)) & iext(uri_rdf_rest, skolem_BNODE_l22525, uri_rdf_nil)) & iext(uri_owl_complementOf, skolem_BNODE_y2323, uri_ex_A))
% 11.39/4.74
% 11.39/4.74 [2] ALPHA_AND : ((((((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)) & iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)) & iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A)) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)) & iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323)) & iext(uri_rdf_rest, skolem_BNODE_l22525, uri_rdf_nil)) & iext(uri_owl_complementOf, skolem_BNODE_y2323, uri_ex_A))
% 11.39/4.74 -> [3] (((((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)) & iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)) & iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A)) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)) & iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323)) & iext(uri_rdf_rest, skolem_BNODE_l22525, uri_rdf_nil)), iext(uri_owl_complementOf, skolem_BNODE_y2323, uri_ex_A)
% 11.39/4.74
% 11.39/4.74 [3] ALPHA_AND : (((((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)) & iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)) & iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A)) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)) & iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323)) & iext(uri_rdf_rest, skolem_BNODE_l22525, uri_rdf_nil))
% 11.39/4.74 -> [4] ((((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)) & iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)) & iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A)) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)) & iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323)), iext(uri_rdf_rest, skolem_BNODE_l22525, uri_rdf_nil)
% 11.39/4.74
% 11.39/4.74 [4] ALPHA_AND : ((((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)) & iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)) & iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A)) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)) & iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323))
% 11.39/4.74 -> [5] (((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)) & iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)) & iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A)) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)), iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323)
% 11.39/4.74
% 11.39/4.74 [5] ALPHA_AND : (((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)) & iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)) & iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A)) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525))
% 11.39/4.74 -> [6] ((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)) & iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)) & iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A)), iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)
% 11.39/4.74
% 11.39/4.74 [6] ALPHA_AND : ((((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)) & iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)) & iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A))
% 11.39/4.74 -> [7] (((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)) & iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)), iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A)
% 11.39/4.74
% 11.39/4.74 [7] ALPHA_AND : (((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)) & iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424))
% 11.39/4.74 -> [8] ((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)), iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)
% 11.39/4.74
% 11.39/4.74 [8] ALPHA_AND : ((iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222))
% 11.39/4.74 -> [9] (iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class)), iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)
% 11.39/4.74
% 11.39/4.74 [9] ALPHA_AND : (iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class))
% 11.39/4.74 -> [10] iext(uri_rdf_type, uri_ex_A, uri_owl_Class), iext(uri_rdf_type, uri_ex_B, uri_owl_Class)
% 11.39/4.74
% 11.39/4.74 [10] GAMMA_FORALL : ! [X11_11, C12_12] : ((iext(uri_rdf_type, X11_11, C12_12) <=> icext(C12_12, X11_11)))
% 11.39/4.74 -> [11] (iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222) <=> icext(skolem_BNODE_x2222, uri_ex_w))
% 11.39/4.74
% 11.39/4.74 [11] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222) <=> icext(skolem_BNODE_x2222, uri_ex_w))
% 11.39/4.74 -> [12] ~iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222), ~icext(skolem_BNODE_x2222, uri_ex_w)
% 11.39/4.74 -> [13] iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222), icext(skolem_BNODE_x2222, uri_ex_w)
% 11.39/4.74
% 11.39/4.74 [12] CLOSURE : ~iext(uri_rdf_type, uri_ex_w, skolem_BNODE_x2222)
% 11.39/4.74
% 11.39/4.74 [13] GAMMA_FORALL : ! [Z13_13, C14_14] : ((iext(uri_owl_complementOf, Z13_13, C14_14) => ((ic(Z13_13) & ic(C14_14)) & ! [X15_15] : ((icext(Z13_13, X15_15) <=> ~icext(C14_14, X15_15))))))
% 11.39/4.74 -> [1148] (iext(uri_owl_complementOf, skolem_BNODE_y2323, uri_ex_A) => ((ic(skolem_BNODE_y2323) & ic(uri_ex_A)) & ! [X15_15] : ((icext(skolem_BNODE_y2323, X15_15) <=> ~icext(uri_ex_A, X15_15)))))
% 11.39/4.74
% 11.39/4.74 [1148] BETA_IMPLY : (iext(uri_owl_complementOf, skolem_BNODE_y2323, uri_ex_A) => ((ic(skolem_BNODE_y2323) & ic(uri_ex_A)) & ! [X15_15] : ((icext(skolem_BNODE_y2323, X15_15) <=> ~icext(uri_ex_A, X15_15)))))
% 11.39/4.74 -> [1149] ~iext(uri_owl_complementOf, skolem_BNODE_y2323, uri_ex_A)
% 11.39/4.74 -> [1150] ((ic(skolem_BNODE_y2323) & ic(uri_ex_A)) & ! [X15_15] : ((icext(skolem_BNODE_y2323, X15_15) <=> ~icext(uri_ex_A, X15_15))))
% 11.39/4.74
% 11.39/4.74 [1149] CLOSURE : ~iext(uri_owl_complementOf, skolem_BNODE_y2323, uri_ex_A)
% 11.39/4.74
% 11.39/4.74 [1153] BETA_IMPLY : ((((iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)) & iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323)) & iext(uri_rdf_rest, skolem_BNODE_l22525, uri_rdf_nil)) => (iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424) <=> (((ic(skolem_BNODE_x2222) & ic(uri_ex_A)) & ic(skolem_BNODE_y2323)) & ! [X21_21] : ((icext(skolem_BNODE_x2222, X21_21) <=> (icext(uri_ex_A, X21_21) & icext(skolem_BNODE_y2323, X21_21)))))))
% 11.39/4.74 -> [1203] ~(((iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)) & iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323)) & iext(uri_rdf_rest, skolem_BNODE_l22525, uri_rdf_nil))
% 11.39/4.74 -> [1204] (iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424) <=> (((ic(skolem_BNODE_x2222) & ic(uri_ex_A)) & ic(skolem_BNODE_y2323)) & ! [X21_21] : ((icext(skolem_BNODE_x2222, X21_21) <=> (icext(uri_ex_A, X21_21) & icext(skolem_BNODE_y2323, X21_21))))))
% 11.39/4.74
% 11.39/4.74 [1203] BETA_NOT_AND : ~(((iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)) & iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323)) & iext(uri_rdf_rest, skolem_BNODE_l22525, uri_rdf_nil))
% 11.39/4.74 -> [1205] ~((iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)) & iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323))
% 11.39/4.74 -> [1206] ~iext(uri_rdf_rest, skolem_BNODE_l22525, uri_rdf_nil)
% 11.39/4.74
% 11.39/4.74 [1205] BETA_NOT_AND : ~((iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)) & iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323))
% 11.39/4.74 -> [1209] ~(iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525))
% 11.39/4.74 -> [1210] ~iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323)
% 11.39/4.74
% 11.39/4.74 [1209] BETA_NOT_AND : ~(iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A) & iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525))
% 11.39/4.74 -> [1211] ~iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A)
% 11.39/4.74 -> [1212] ~iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)
% 11.39/4.74
% 11.39/4.74 [1212] CLOSURE : ~iext(uri_rdf_rest, skolem_BNODE_l12424, skolem_BNODE_l22525)
% 11.39/4.74
% 11.39/4.74 [1211] CLOSURE : ~iext(uri_rdf_first, skolem_BNODE_l12424, uri_ex_A)
% 11.39/4.74
% 11.39/4.74 [1210] CLOSURE : ~iext(uri_rdf_first, skolem_BNODE_l22525, skolem_BNODE_y2323)
% 11.39/4.74
% 11.39/4.74 [1206] CLOSURE : ~iext(uri_rdf_rest, skolem_BNODE_l22525, uri_rdf_nil)
% 11.39/4.74
% 11.39/4.74 [1204] BETA_EQUIV : (iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424) <=> (((ic(skolem_BNODE_x2222) & ic(uri_ex_A)) & ic(skolem_BNODE_y2323)) & ! [X21_21] : ((icext(skolem_BNODE_x2222, X21_21) <=> (icext(uri_ex_A, X21_21) & icext(skolem_BNODE_y2323, X21_21))))))
% 11.39/4.74 -> [1666] ~iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424), ~(((ic(skolem_BNODE_x2222) & ic(uri_ex_A)) & ic(skolem_BNODE_y2323)) & ! [X21_21] : ((icext(skolem_BNODE_x2222, X21_21) <=> (icext(uri_ex_A, X21_21) & icext(skolem_BNODE_y2323, X21_21)))))
% 11.39/4.74 -> [1667] iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424), (((ic(skolem_BNODE_x2222) & ic(uri_ex_A)) & ic(skolem_BNODE_y2323)) & ! [X21_21] : ((icext(skolem_BNODE_x2222, X21_21) <=> (icext(uri_ex_A, X21_21) & icext(skolem_BNODE_y2323, X21_21)))))
% 11.39/4.74
% 11.39/4.74 [1666] CLOSURE : ~iext(uri_owl_intersectionOf, skolem_BNODE_x2222, skolem_BNODE_l12424)
% 11.39/4.74
% 11.39/4.74 [1667] ALPHA_AND : (((ic(skolem_BNODE_x2222) & ic(uri_ex_A)) & ic(skolem_BNODE_y2323)) & ! [X21_21] : ((icext(skolem_BNODE_x2222, X21_21) <=> (icext(uri_ex_A, X21_21) & icext(skolem_BNODE_y2323, X21_21)))))
% 11.39/4.74 -> [1668] ((ic(skolem_BNODE_x2222) & ic(uri_ex_A)) & ic(skolem_BNODE_y2323)), ! [X21_21] : ((icext(skolem_BNODE_x2222, X21_21) <=> (icext(uri_ex_A, X21_21) & icext(skolem_BNODE_y2323, X21_21))))
% 11.39/4.74
% 11.39/4.74 [1668] ALPHA_AND : ((ic(skolem_BNODE_x2222) & ic(uri_ex_A)) & ic(skolem_BNODE_y2323))
% 11.39/4.74 -> [1669] (ic(skolem_BNODE_x2222) & ic(uri_ex_A)), ic(skolem_BNODE_y2323)
% 11.39/4.74
% 11.39/4.74 [1669] ALPHA_AND : (ic(skolem_BNODE_x2222) & ic(uri_ex_A))
% 11.39/4.74 -> [1670] ic(skolem_BNODE_x2222), ic(uri_ex_A)
% 11.39/4.74
% 11.39/4.74 [1670] GAMMA_FORALL : ! [X15_15] : ((icext(skolem_BNODE_y2323, X15_15) <=> ~icext(uri_ex_A, X15_15)))
% 11.39/4.74 -> [1671] (icext(skolem_BNODE_y2323, uri_ex_w) <=> ~icext(uri_ex_A, uri_ex_w))
% 11.39/4.74
% 11.39/4.74 [1671] BETA_EQUIV : (icext(skolem_BNODE_y2323, uri_ex_w) <=> ~icext(uri_ex_A, uri_ex_w))
% 11.39/4.74 -> [1672] ~icext(skolem_BNODE_y2323, uri_ex_w), ~~icext(uri_ex_A, uri_ex_w)
% 11.39/4.74 -> [1673] icext(skolem_BNODE_y2323, uri_ex_w), ~icext(uri_ex_A, uri_ex_w)
% 11.39/4.74
% 11.39/4.74 [1673] GAMMA_FORALL : ! [X21_21] : ((icext(skolem_BNODE_x2222, X21_21) <=> (icext(uri_ex_A, X21_21) & icext(skolem_BNODE_y2323, X21_21))))
% 11.39/4.74 -> [1675] (icext(skolem_BNODE_x2222, uri_ex_w) <=> (icext(uri_ex_A, uri_ex_w) & icext(skolem_BNODE_y2323, uri_ex_w)))
% 11.39/4.74
% 11.39/4.74 [1675] BETA_EQUIV : (icext(skolem_BNODE_x2222, uri_ex_w) <=> (icext(uri_ex_A, uri_ex_w) & icext(skolem_BNODE_y2323, uri_ex_w)))
% 11.39/4.74 -> [1676] ~icext(skolem_BNODE_x2222, uri_ex_w), ~(icext(uri_ex_A, uri_ex_w) & icext(skolem_BNODE_y2323, uri_ex_w))
% 11.39/4.74 -> [1677] icext(skolem_BNODE_x2222, uri_ex_w), (icext(uri_ex_A, uri_ex_w) & icext(skolem_BNODE_y2323, uri_ex_w))
% 11.39/4.74
% 11.39/4.74 [1676] CLOSURE : ~icext(skolem_BNODE_x2222, uri_ex_w)
% 11.39/4.74
% 11.39/4.74 [1681] CLOSURE : icext(uri_ex_A, uri_ex_w)
% 11.39/4.74
% 11.39/4.74 [1672] ALPHA_NOT_NOT : ~~icext(uri_ex_A, X21_13_4)
% 11.39/4.74 -> [1674] icext(uri_ex_A, X21_13_4)
% 11.39/4.74
% 11.39/4.74 [1674] GAMMA_FORALL : ! [X21_21] : ((icext(uri_ex_A, X21_21) <=> (icext(uri_ex_A, X21_21) & icext(skolem_BNODE_y2323, X21_21))))
% 11.39/4.74 -> [1678] (icext(uri_ex_A, X21_13_4) <=> (icext(uri_ex_A, X21_13_4) & icext(skolem_BNODE_y2323, X21_13_4)))
% 11.39/4.74
% 11.39/4.74 [1678] BETA_EQUIV : (icext(uri_ex_A, X21_13_4) <=> (icext(uri_ex_A, X21_13_4) & icext(skolem_BNODE_y2323, X21_13_4)))
% 11.39/4.74 -> [1679] ~icext(uri_ex_A, X21_13_4), ~(icext(uri_ex_A, X21_13_4) & icext(skolem_BNODE_y2323, X21_13_4))
% 11.39/4.74 -> [1680] icext(uri_ex_A, X21_13_4), (icext(uri_ex_A, X21_13_4) & icext(skolem_BNODE_y2323, X21_13_4))
% 11.39/4.74
% 11.39/4.74 [1680] ALPHA_AND : (icext(uri_ex_A, X21_13_4) & icext(skolem_BNODE_y2323, X21_13_4))
% 11.39/4.74 -> [1682] icext(uri_ex_A, X21_13_4), icext(skolem_BNODE_y2323, X21_13_4)
% 11.39/4.74
% 11.39/4.74 [1682] CLOSURE : icext(skolem_BNODE_y2323, X21_13_4)
% 11.39/4.74
% 11.39/4.74 [1679] CLOSURE : ~icext(uri_ex_A, X21_13_4)
% 11.39/4.74
% 11.39/4.74 % SZS output end Proof for theBenchmark.p
% 11.39/4.74 [4.451659s][1][Res] 34459 goroutines created
% 11.39/4.74 ==== Result ====
% 11.39/4.74 [4.451714s][1][Res] VALID
% 11.39/4.74 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------