TSTP Solution File: SET632+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET632+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n013.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 04:16:58 EDT 2022
% Result : Theorem 3.01s 1.18s
% Output : Proof 3.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET632+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : goeland -dmt -presko -proof %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat Sep 3 06:58:02 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.34 [DMT] DMT loaded with preskolemization
% 0.11/0.34 [EQ] equality loaded.
% 0.11/0.34 [0.000027s][1][MAIN] Problem : theBenchmark.p
% 0.11/0.34 Start search
% 0.11/0.34 nb_step : 1 - limit : 12
% 0.11/0.34 Launch Gotab with destructive = true
% 3.01/1.18 % SZS output start Proof for theBenchmark.p
% 3.01/1.18 [0] ALPHA_AND : (! [B9_9] : (~member(B9_9, empty_set)) & ! [B10_10, C11_11] : ((disjoint(B10_10, C11_11) <=> ~intersect(B10_10, C11_11))) & ! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> (subset(B12_12, C13_13) & subset(C13_13, B12_12)))) & ! [B14_14, C15_15] : ((intersect(B14_14, C15_15) => intersect(C15_15, B14_14))) & ! [B16_16] : (subset(B16_16, B16_16)) & ~! [B19_19, C20_20, D21_21] : ((((subset(B19_19, C20_20) & subset(B19_19, D21_21)) & disjoint(C20_20, D21_21)) => =(B19_19, empty_set))))
% 3.01/1.18 -> [1] ! [B9_9] : (~member(B9_9, empty_set)), ! [B10_10, C11_11] : ((disjoint(B10_10, C11_11) <=> ~intersect(B10_10, C11_11))), ! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> (subset(B12_12, C13_13) & subset(C13_13, B12_12)))), ! [B14_14, C15_15] : ((intersect(B14_14, C15_15) => intersect(C15_15, B14_14))), ! [B16_16] : (subset(B16_16, B16_16)), ~! [B19_19, C20_20, D21_21] : ((((subset(B19_19, C20_20) & subset(B19_19, D21_21)) & disjoint(C20_20, D21_21)) => =(B19_19, empty_set)))
% 3.01/1.18
% 3.01/1.18 [1] DELTA_NOT_FORALL : ~! [B19_19, C20_20, D21_21] : ((((subset(B19_19, C20_20) & subset(B19_19, D21_21)) & disjoint(C20_20, D21_21)) => =(B19_19, empty_set)))
% 3.01/1.18 -> [2] ~(((subset(skolem_B1919, skolem_C2020) & subset(skolem_B1919, skolem_D2121)) & disjoint(skolem_C2020, skolem_D2121)) => =(skolem_B1919, empty_set))
% 3.01/1.18
% 3.01/1.18 [2] ALPHA_NOT_IMPLY : ~(((subset(skolem_B1919, skolem_C2020) & subset(skolem_B1919, skolem_D2121)) & disjoint(skolem_C2020, skolem_D2121)) => =(skolem_B1919, empty_set))
% 3.01/1.18 -> [3] ((subset(skolem_B1919, skolem_C2020) & subset(skolem_B1919, skolem_D2121)) & disjoint(skolem_C2020, skolem_D2121)), ~=(skolem_B1919, empty_set)
% 3.01/1.18
% 3.01/1.18 [3] ALPHA_AND : ((subset(skolem_B1919, skolem_C2020) & subset(skolem_B1919, skolem_D2121)) & disjoint(skolem_C2020, skolem_D2121))
% 3.01/1.18 -> [4] (subset(skolem_B1919, skolem_C2020) & subset(skolem_B1919, skolem_D2121)), disjoint(skolem_C2020, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [4] ALPHA_AND : (subset(skolem_B1919, skolem_C2020) & subset(skolem_B1919, skolem_D2121))
% 3.01/1.18 -> [5] subset(skolem_B1919, skolem_C2020), subset(skolem_B1919, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [5] Rewrite : subset(skolem_B1919, skolem_C2020)
% 3.01/1.18 -> [6] ! [D5_5] : ((member(D5_5, skolem_B1919) => member(D5_5, skolem_C2020)))
% 3.01/1.18
% 3.01/1.18 [6] Rewrite : subset(skolem_B1919, skolem_D2121)
% 3.01/1.18 -> [7] ! [D5_5] : ((member(D5_5, skolem_B1919) => member(D5_5, skolem_D2121)))
% 3.01/1.18
% 3.01/1.18 [7] GAMMA_FORALL : ! [B9_9] : (~member(B9_9, empty_set))
% 3.01/1.18 -> [8] ~member(skolem_D88(empty_set, empty_set), empty_set)
% 3.01/1.18
% 3.01/1.18 [8] GAMMA_FORALL : ! [B10_10, C11_11] : ((disjoint(B10_10, C11_11) <=> ~intersect(B10_10, C11_11)))
% 3.01/1.18 -> [9] (disjoint(skolem_C2020, skolem_D2121) <=> ~intersect(skolem_C2020, skolem_D2121))
% 3.01/1.18
% 3.01/1.18 [9] BETA_EQUIV : (disjoint(skolem_C2020, skolem_D2121) <=> ~intersect(skolem_C2020, skolem_D2121))
% 3.01/1.18 -> [10] ~disjoint(skolem_C2020, skolem_D2121), ~~intersect(skolem_C2020, skolem_D2121)
% 3.01/1.18 -> [11] disjoint(skolem_C2020, skolem_D2121), ~intersect(skolem_C2020, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [10] ALPHA_NOT_NOT : ~~intersect(skolem_C2020, skolem_D2121)
% 3.01/1.18 -> [12] intersect(skolem_C2020, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [12] CLOSURE : ~~intersect(skolem_C2020, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [11] GAMMA_FORALL : ! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> (subset(B12_12, C13_13) & subset(C13_13, B12_12))))
% 3.01/1.18 -> [262] (=(empty_set, skolem_B1919) <=> (subset(empty_set, skolem_B1919) & subset(skolem_B1919, empty_set)))
% 3.01/1.18
% 3.01/1.18 [262] BETA_EQUIV : (=(empty_set, skolem_B1919) <=> (subset(empty_set, skolem_B1919) & subset(skolem_B1919, empty_set)))
% 3.01/1.18 -> [263] ~=(empty_set, skolem_B1919), ~(subset(empty_set, skolem_B1919) & subset(skolem_B1919, empty_set))
% 3.01/1.18 -> [264] =(empty_set, skolem_B1919), (subset(empty_set, skolem_B1919) & subset(skolem_B1919, empty_set))
% 3.01/1.18
% 3.01/1.18 [264] ALPHA_AND : (subset(empty_set, skolem_B1919) & subset(skolem_B1919, empty_set))
% 3.01/1.18 -> [265] subset(empty_set, skolem_B1919), subset(skolem_B1919, empty_set)
% 3.01/1.18
% 3.01/1.18 [265] CLOSURE : =
% 3.01/1.18
% 3.01/1.18 [263] BETA_NOT_AND : ~(subset(empty_set, skolem_B1919) & subset(skolem_B1919, empty_set))
% 3.01/1.18 -> [334] ~subset(empty_set, skolem_B1919)
% 3.01/1.18 -> [335] ~subset(skolem_B1919, empty_set)
% 3.01/1.18
% 3.01/1.18 [335] Rewrite : ~subset(skolem_B1919, empty_set)
% 3.01/1.18 -> [336] ~(member(skolem_D55(skolem_B1919, empty_set), skolem_B1919) => member(skolem_D55(skolem_B1919, empty_set), empty_set))
% 3.01/1.18
% 3.01/1.18 [336] ALPHA_NOT_IMPLY : ~(member(skolem_D55(skolem_B1919, empty_set), skolem_B1919) => member(skolem_D55(skolem_B1919, empty_set), empty_set))
% 3.01/1.18 -> [338] member(skolem_D55(skolem_B1919, empty_set), skolem_B1919), ~member(skolem_D55(skolem_B1919, empty_set), empty_set)
% 3.01/1.18
% 3.01/1.18 [338] GAMMA_FORALL : ! [B14_14, C15_15] : ((intersect(B14_14, C15_15) => intersect(C15_15, B14_14)))
% 3.01/1.18 -> [340] (intersect(B14_4_3, empty_set) => intersect(empty_set, B14_4_3))
% 3.01/1.18
% 3.01/1.18 [340] BETA_IMPLY : (intersect(B14_4_3, empty_set) => intersect(empty_set, B14_4_3))
% 3.01/1.18 -> [341] ~intersect(B14_4_3, empty_set)
% 3.01/1.18 -> [342] intersect(empty_set, B14_4_3)
% 3.01/1.18
% 3.01/1.18 [342] Rewrite : intersect(empty_set, B14_4_3)
% 3.01/1.18 -> [344] (member(skolem_D88(empty_set, B14_4_3), empty_set) & member(skolem_D88(empty_set, B14_4_3), B14_4_3))
% 3.01/1.18
% 3.01/1.18 [344] ALPHA_AND : (member(skolem_D88(empty_set, B14_4_3), empty_set) & member(skolem_D88(empty_set, B14_4_3), B14_4_3))
% 3.01/1.18 -> [346] member(skolem_D88(empty_set, B14_4_3), empty_set), member(skolem_D88(empty_set, B14_4_3), B14_4_3)
% 3.01/1.18
% 3.01/1.18 [346] CLOSURE : member(skolem_D88(empty_set, B14_4_3), B14_4_3)
% 3.01/1.18
% 3.01/1.18 [341] Rewrite : ~intersect(B14_4_3, empty_set)
% 3.01/1.18 -> [343] ~? [D8_8] : ((member(D8_8, B14_4_3) & member(D8_8, empty_set)))
% 3.01/1.18
% 3.01/1.18 [343] GAMMA_FORALL : ! [B16_16] : (subset(B16_16, B16_16))
% 3.01/1.18 -> [345] subset(B16_5_4, B16_5_4)
% 3.01/1.18
% 3.01/1.18 [345] Rewrite : subset(B16_5_4, B16_5_4)
% 3.01/1.18 -> [347] ! [D5_5] : ((member(D5_5, B16_5_4) => member(D5_5, B16_5_4)))
% 3.01/1.18
% 3.01/1.18 [347] GAMMA_FORALL : ! [D5_5] : ((member(D5_5, skolem_B1919) => member(D5_5, skolem_C2020)))
% 3.01/1.18 -> [348] (member(skolem_D55(skolem_B1919, empty_set), skolem_B1919) => member(skolem_D55(skolem_B1919, empty_set), skolem_C2020))
% 3.01/1.18
% 3.01/1.18 [348] BETA_IMPLY : (member(skolem_D55(skolem_B1919, empty_set), skolem_B1919) => member(skolem_D55(skolem_B1919, empty_set), skolem_C2020))
% 3.01/1.18 -> [349] ~member(skolem_D55(skolem_B1919, empty_set), skolem_B1919)
% 3.01/1.18 -> [350] member(skolem_D55(skolem_B1919, empty_set), skolem_C2020)
% 3.01/1.18
% 3.01/1.18 [349] CLOSURE : ~member(skolem_D55(skolem_B1919, empty_set), skolem_B1919)
% 3.01/1.18
% 3.01/1.18 [350] GAMMA_FORALL : ! [D5_5] : ((member(D5_5, skolem_B1919) => member(D5_5, skolem_D2121)))
% 3.01/1.18 -> [351] (member(skolem_D55(skolem_B1919, empty_set), skolem_B1919) => member(skolem_D55(skolem_B1919, empty_set), skolem_D2121))
% 3.01/1.18
% 3.01/1.18 [351] BETA_IMPLY : (member(skolem_D55(skolem_B1919, empty_set), skolem_B1919) => member(skolem_D55(skolem_B1919, empty_set), skolem_D2121))
% 3.01/1.18 -> [352] ~member(skolem_D55(skolem_B1919, empty_set), skolem_B1919)
% 3.01/1.18 -> [353] member(skolem_D55(skolem_B1919, empty_set), skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [352] CLOSURE : ~member(skolem_D55(skolem_B1919, empty_set), skolem_B1919)
% 3.01/1.18
% 3.01/1.18 [354] BETA_NOT_AND : ~(member(skolem_D55(skolem_B1919, empty_set), skolem_C2020) & member(skolem_D55(skolem_B1919, empty_set), skolem_D2121))
% 3.01/1.18 -> [357] ~member(skolem_D55(skolem_B1919, empty_set), skolem_C2020)
% 3.01/1.18 -> [358] ~member(skolem_D55(skolem_B1919, empty_set), skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [358] CLOSURE : ~member(skolem_D55(skolem_B1919, empty_set), skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [357] CLOSURE : ~member(skolem_D55(skolem_B1919, empty_set), skolem_C2020)
% 3.01/1.18
% 3.01/1.18 [334] ALPHA_NOT_IMPLY : ~(member(skolem_D55(empty_set, skolem_B1919), empty_set) => member(skolem_D55(empty_set, skolem_B1919), skolem_B1919))
% 3.01/1.18 -> [359] member(skolem_D55(empty_set, skolem_B1919), empty_set), ~member(skolem_D55(empty_set, skolem_B1919), skolem_B1919)
% 3.01/1.18
% 3.01/1.18 [359] GAMMA_FORALL : ! [B14_14, C15_15] : ((intersect(B14_14, C15_15) => intersect(C15_15, B14_14)))
% 3.01/1.18 -> [360] (intersect(empty_set, empty_set) => intersect(empty_set, empty_set))
% 3.01/1.18
% 3.01/1.18 [360] BETA_IMPLY : (intersect(empty_set, empty_set) => intersect(empty_set, empty_set))
% 3.01/1.18 -> [361] ~intersect(empty_set, empty_set)
% 3.01/1.18 -> [362] intersect(empty_set, empty_set)
% 3.01/1.18
% 3.01/1.18 [362] Rewrite : intersect(empty_set, empty_set)
% 3.01/1.18 -> [363] (member(skolem_D88(empty_set, empty_set), empty_set) & member(skolem_D88(empty_set, empty_set), empty_set))
% 3.01/1.18
% 3.01/1.18 [363] ALPHA_AND : (member(skolem_D88(empty_set, empty_set), empty_set) & member(skolem_D88(empty_set, empty_set), empty_set))
% 3.01/1.18 -> [365] member(skolem_D88(empty_set, empty_set), empty_set)
% 3.01/1.18
% 3.01/1.18 [365] CLOSURE : member(skolem_D88(empty_set, empty_set), empty_set)
% 3.01/1.18
% 3.01/1.18 [361] GAMMA_FORALL : ! [B16_16] : (subset(B16_16, B16_16))
% 3.01/1.18 -> [498] subset(B16_7_4, B16_7_4)
% 3.01/1.18
% 3.01/1.18 [498] Rewrite : subset(B16_7_4, B16_7_4)
% 3.01/1.18 -> [499] ! [D5_5] : ((member(D5_5, B16_7_4) => member(D5_5, B16_7_4)))
% 3.01/1.18
% 3.01/1.18 [499] GAMMA_FORALL : ! [D5_5] : ((member(D5_5, skolem_B1919) => member(D5_5, skolem_C2020)))
% 3.01/1.18 -> [500] (member(D5_52_5, skolem_B1919) => member(D5_52_5, skolem_C2020))
% 3.01/1.18
% 3.01/1.18 [500] BETA_IMPLY : (member(D5_52_5, skolem_B1919) => member(D5_52_5, skolem_C2020))
% 3.01/1.18 -> [501] ~member(D5_52_5, skolem_B1919)
% 3.01/1.18 -> [502] member(D5_52_5, skolem_C2020)
% 3.01/1.18
% 3.01/1.18 [501] GAMMA_FORALL : ! [D5_5] : ((member(D5_5, skolem_B1919) => member(D5_5, skolem_D2121)))
% 3.01/1.18 -> [503] (member(D5_53_6, skolem_B1919) => member(D5_53_6, skolem_D2121))
% 3.01/1.18
% 3.01/1.18 [503] BETA_IMPLY : (member(D5_53_6, skolem_B1919) => member(D5_53_6, skolem_D2121))
% 3.01/1.18 -> [505] ~member(D5_53_6, skolem_B1919)
% 3.01/1.18 -> [506] member(D5_53_6, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [505] GAMMA_NOT_EXISTS : ~? [D8_8] : ((member(D8_8, skolem_C2020) & member(D8_8, skolem_D2121)))
% 3.01/1.18 -> [509] ~(member(D8_48_7, skolem_C2020) & member(D8_48_7, skolem_D2121))
% 3.01/1.18
% 3.01/1.18 [509] BETA_NOT_AND : ~(member(D8_48_7, skolem_C2020) & member(D8_48_7, skolem_D2121))
% 3.01/1.18 -> [512] ~member(D8_48_7, skolem_C2020)
% 3.01/1.18 -> [513] ~member(D8_48_7, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [512] GAMMA_NOT_EXISTS : ~? [D8_8] : ((member(D8_8, empty_set) & member(D8_8, empty_set)))
% 3.01/1.18 -> [521] ~(member(skolem_D55(empty_set, skolem_B1919), empty_set) & member(skolem_D55(empty_set, skolem_B1919), empty_set))
% 3.01/1.18
% 3.01/1.18 [521] BETA_NOT_AND : ~(member(skolem_D55(empty_set, skolem_B1919), empty_set) & member(skolem_D55(empty_set, skolem_B1919), empty_set))
% 3.01/1.18 -> [525] ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18 -> [526] ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18
% 3.01/1.18 [525] CLOSURE : ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18
% 3.01/1.18 [526] CLOSURE : ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18
% 3.01/1.18 [513] GAMMA_NOT_EXISTS : ~? [D8_8] : ((member(D8_8, empty_set) & member(D8_8, empty_set)))
% 3.01/1.18 -> [522] ~(member(skolem_D55(empty_set, skolem_B1919), empty_set) & member(skolem_D55(empty_set, skolem_B1919), empty_set))
% 3.01/1.18
% 3.01/1.18 [522] BETA_NOT_AND : ~(member(skolem_D55(empty_set, skolem_B1919), empty_set) & member(skolem_D55(empty_set, skolem_B1919), empty_set))
% 3.01/1.18 -> [527] ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18 -> [528] ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18
% 3.01/1.18 [527] CLOSURE : ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18
% 3.01/1.18 [528] CLOSURE : ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18
% 3.01/1.18 [506] GAMMA_NOT_EXISTS : ~? [D8_8] : ((member(D8_8, skolem_C2020) & member(D8_8, skolem_D2121)))
% 3.01/1.18 -> [518] ~(member(D8_51_7, skolem_C2020) & member(D8_51_7, skolem_D2121))
% 3.01/1.18
% 3.01/1.18 [518] BETA_NOT_AND : ~(member(D8_51_7, skolem_C2020) & member(D8_51_7, skolem_D2121))
% 3.01/1.18 -> [519] ~member(D8_51_7, skolem_C2020)
% 3.01/1.18 -> [520] ~member(D8_51_7, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [520] CLOSURE : ~member(D8_51_7, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [519] GAMMA_NOT_EXISTS : ~? [D8_8] : ((member(D8_8, empty_set) & member(D8_8, empty_set)))
% 3.01/1.18 -> [523] ~(member(skolem_D55(empty_set, skolem_B1919), empty_set) & member(skolem_D55(empty_set, skolem_B1919), empty_set))
% 3.01/1.18
% 3.01/1.18 [523] BETA_NOT_AND : ~(member(skolem_D55(empty_set, skolem_B1919), empty_set) & member(skolem_D55(empty_set, skolem_B1919), empty_set))
% 3.01/1.18 -> [529] ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18 -> [530] ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18
% 3.01/1.18 [529] CLOSURE : ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18
% 3.01/1.18 [530] CLOSURE : ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18
% 3.01/1.18 [502] GAMMA_FORALL : ! [D5_5] : ((member(D5_5, skolem_B1919) => member(D5_5, skolem_D2121)))
% 3.01/1.18 -> [504] (member(D5_54_6, skolem_B1919) => member(D5_54_6, skolem_D2121))
% 3.01/1.18
% 3.01/1.18 [504] BETA_IMPLY : (member(D5_54_6, skolem_B1919) => member(D5_54_6, skolem_D2121))
% 3.01/1.18 -> [507] ~member(D5_54_6, skolem_B1919)
% 3.01/1.18 -> [508] member(D5_54_6, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [507] GAMMA_NOT_EXISTS : ~? [D8_8] : ((member(D8_8, skolem_C2020) & member(D8_8, skolem_D2121)))
% 3.01/1.18 -> [510] ~(member(D8_49_7, skolem_C2020) & member(D8_49_7, skolem_D2121))
% 3.01/1.18
% 3.01/1.18 [510] BETA_NOT_AND : ~(member(D8_49_7, skolem_C2020) & member(D8_49_7, skolem_D2121))
% 3.01/1.18 -> [514] ~member(D8_49_7, skolem_C2020)
% 3.01/1.18 -> [515] ~member(D8_49_7, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [514] CLOSURE : ~member(D8_49_7, skolem_C2020)
% 3.01/1.18
% 3.01/1.18 [515] GAMMA_NOT_EXISTS : ~? [D8_8] : ((member(D8_8, empty_set) & member(D8_8, empty_set)))
% 3.01/1.18 -> [524] ~(member(skolem_D55(empty_set, skolem_B1919), empty_set) & member(skolem_D55(empty_set, skolem_B1919), empty_set))
% 3.01/1.18
% 3.01/1.18 [524] BETA_NOT_AND : ~(member(skolem_D55(empty_set, skolem_B1919), empty_set) & member(skolem_D55(empty_set, skolem_B1919), empty_set))
% 3.01/1.18 -> [531] ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18 -> [532] ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18
% 3.01/1.18 [532] CLOSURE : ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18
% 3.01/1.18 [531] CLOSURE : ~member(skolem_D55(empty_set, skolem_B1919), empty_set)
% 3.01/1.18
% 3.01/1.18 [508] GAMMA_NOT_EXISTS : ~? [D8_8] : ((member(D8_8, skolem_C2020) & member(D8_8, skolem_D2121)))
% 3.01/1.18 -> [511] ~(member(D8_50_7, skolem_C2020) & member(D8_50_7, skolem_D2121))
% 3.01/1.18
% 3.01/1.18 [511] BETA_NOT_AND : ~(member(D8_50_7, skolem_C2020) & member(D8_50_7, skolem_D2121))
% 3.01/1.18 -> [516] ~member(D8_50_7, skolem_C2020)
% 3.01/1.18 -> [517] ~member(D8_50_7, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [517] CLOSURE : ~member(D8_50_7, skolem_D2121)
% 3.01/1.18
% 3.01/1.18 [516] CLOSURE : ~member(D8_50_7, skolem_C2020)
% 3.01/1.18
% 3.01/1.18 % SZS output end Proof for theBenchmark.p
% 3.01/1.18 [0.836628s][1][Res] 5605 goroutines created
% 3.01/1.18 ==== Result ====
% 3.01/1.18 [0.836649s][1][Res] VALID
% 3.01/1.18 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------