TSTP Solution File: SET162+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET162+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n006.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 04:15:38 EDT 2022
% Result : Theorem 129.76s 27.65s
% Output : Proof 129.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET162+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n006.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 03:01:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000059s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.33 Start search
% 0.12/0.34 nb_step : 1 - limit : 12
% 0.12/0.34 Launch Gotab with destructive = true
% 129.76/27.65 % SZS output start Proof for theBenchmark.p
% 129.76/27.65 [0] ALPHA_AND : (! [B6_6] : (~member(B6_6, empty_set)) & ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> (subset(B7_7, C8_8) & subset(C8_8, B7_7)))) & ! [B9_9, C10_10] : (=(union(B9_9, C10_10), union(C10_10, B9_9))) & ! [B14_14] : (subset(B14_14, B14_14)) & ! [B17_17, C18_18] : ((=(B17_17, C18_18) <=> ! [D19_19] : ((member(D19_19, B17_17) <=> member(D19_19, C18_18))))) & ~! [B20_20] : (=(union(B20_20, empty_set), B20_20)))
% 129.76/27.65 -> [1] ! [B6_6] : (~member(B6_6, empty_set)), ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> (subset(B7_7, C8_8) & subset(C8_8, B7_7)))), ! [B9_9, C10_10] : (=(union(B9_9, C10_10), union(C10_10, B9_9))), ! [B14_14] : (subset(B14_14, B14_14)), ! [B17_17, C18_18] : ((=(B17_17, C18_18) <=> ! [D19_19] : ((member(D19_19, B17_17) <=> member(D19_19, C18_18))))), ~! [B20_20] : (=(union(B20_20, empty_set), B20_20))
% 129.76/27.65
% 129.76/27.65 [1] DELTA_NOT_FORALL : ~! [B20_20] : (=(union(B20_20, empty_set), B20_20))
% 129.76/27.65 -> [2] ~=(union(skolem_B2020, empty_set), skolem_B2020)
% 129.76/27.65
% 129.76/27.65 [2] GAMMA_FORALL : ! [B6_6] : (~member(B6_6, empty_set))
% 129.76/27.65 -> [3] ~member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), empty_set)
% 129.76/27.65
% 129.76/27.65 [3] GAMMA_FORALL : ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> (subset(B7_7, C8_8) & subset(C8_8, B7_7))))
% 129.76/27.65 -> [4] (=(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set)) <=> (subset(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set)) & subset(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set))))
% 129.76/27.65
% 129.76/27.65 [4] BETA_EQUIV : (=(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set)) <=> (subset(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set)) & subset(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set))))
% 129.76/27.65 -> [5] ~=(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set)), ~(subset(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set)) & subset(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set)))
% 129.76/27.65 -> [6] =(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set)), (subset(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set)) & subset(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set)))
% 129.76/27.65
% 129.76/27.65 [5] CLOSURE : ~=(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set))
% 129.76/27.65
% 129.76/27.65 [7] Rewrite : subset(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set))
% 129.76/27.65 -> [8] ! [D13_13] : ((member(D13_13, union(skolem_B2020, empty_set)) => member(D13_13, union(skolem_B2020, empty_set))))
% 129.76/27.65
% 129.76/27.65 [8] GAMMA_FORALL : ! [B9_9, C10_10] : (=(union(B9_9, C10_10), union(C10_10, B9_9)))
% 129.76/27.65 -> [9] =(union(B9_0_2, C10_0_2), union(C10_0_2, B9_0_2))
% 129.76/27.65
% 129.76/27.65 [9] GAMMA_FORALL : ! [B14_14] : (subset(B14_14, B14_14))
% 129.76/27.65 -> [10] subset(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set))
% 129.76/27.65
% 129.76/27.65 [10] Rewrite : subset(union(skolem_B2020, empty_set), union(skolem_B2020, empty_set))
% 129.76/27.65 -> [11] ! [D13_13] : ((member(D13_13, union(skolem_B2020, empty_set)) => member(D13_13, union(skolem_B2020, empty_set))))
% 129.76/27.65
% 129.76/27.65 [11] GAMMA_FORALL : ! [B17_17, C18_18] : ((=(B17_17, C18_18) <=> ! [D19_19] : ((member(D19_19, B17_17) <=> member(D19_19, C18_18)))))
% 129.76/27.65 -> [12] (=(empty_set, empty_set) <=> ! [D19_19] : ((member(D19_19, empty_set) <=> member(D19_19, empty_set))))
% 129.76/27.65
% 129.76/27.65 [12] BETA_EQUIV : (=(empty_set, empty_set) <=> ! [D19_19] : ((member(D19_19, empty_set) <=> member(D19_19, empty_set))))
% 129.76/27.65 -> [13] ~=(empty_set, empty_set), ~! [D19_19] : ((member(D19_19, empty_set) <=> member(D19_19, empty_set)))
% 129.76/27.65 -> [14] =(empty_set, empty_set), ! [D19_19] : ((member(D19_19, empty_set) <=> member(D19_19, empty_set)))
% 129.76/27.65
% 129.76/27.65 [13] DELTA_NOT_FORALL : ~! [D19_19] : ((member(D19_19, empty_set) <=> member(D19_19, empty_set)))
% 129.76/27.65 -> [15] ~(member(skolem_D1919(empty_set, empty_set), empty_set) <=> member(skolem_D1919(empty_set, empty_set), empty_set))
% 129.76/27.65
% 129.76/27.65 [15] CLOSURE : ~! [D19_19] : ((member(D19_19, empty_set) <=> member(D19_19, empty_set)))
% 129.76/27.65
% 129.76/27.65 [14] GAMMA_FORALL : ! [D13_13] : ((member(D13_13, union(skolem_B2020, empty_set)) => member(D13_13, union(skolem_B2020, empty_set))))
% 129.76/27.65 -> [16] (member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)) => member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)))
% 129.76/27.65
% 129.76/27.65 [16] BETA_IMPLY : (member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)) => member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)))
% 129.76/27.65 -> [17] ~member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set))
% 129.76/27.65 -> [18] member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set))
% 129.76/27.65
% 129.76/27.65 [17] GAMMA_FORALL : ! [D13_13] : ((member(D13_13, union(skolem_B2020, empty_set)) => member(D13_13, union(skolem_B2020, empty_set))))
% 129.76/27.65 -> [19] (member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)) => member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)))
% 129.76/27.65
% 129.76/27.65 [19] BETA_IMPLY : (member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)) => member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)))
% 129.76/27.65 -> [20] ~member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set))
% 129.76/27.65 -> [21] member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set))
% 129.76/27.65
% 129.76/27.65 [21] CLOSURE : =
% 129.76/27.65
% 129.76/27.65 [22] BETA_EQUIV : (member(D19_0_7, empty_set) <=> member(D19_0_7, empty_set))
% 129.76/27.65 -> [45] ~member(D19_0_7, empty_set)
% 129.76/27.65 -> [46] member(D19_0_7, empty_set)
% 129.76/27.65
% 129.76/27.65 [46] CLOSURE : =
% 129.76/27.65
% 129.76/27.65 [50] BETA_EQUIV : (=(union(skolem_B2020, empty_set), skolem_B2020) <=> (subset(union(skolem_B2020, empty_set), skolem_B2020) & subset(skolem_B2020, union(skolem_B2020, empty_set))))
% 129.76/27.65 -> [67] ~=(union(skolem_B2020, empty_set), skolem_B2020), ~(subset(union(skolem_B2020, empty_set), skolem_B2020) & subset(skolem_B2020, union(skolem_B2020, empty_set)))
% 129.76/27.65 -> [68] =(union(skolem_B2020, empty_set), skolem_B2020), (subset(union(skolem_B2020, empty_set), skolem_B2020) & subset(skolem_B2020, union(skolem_B2020, empty_set)))
% 129.76/27.65
% 129.76/27.65 [68] ALPHA_AND : (subset(union(skolem_B2020, empty_set), skolem_B2020) & subset(skolem_B2020, union(skolem_B2020, empty_set)))
% 129.76/27.65 -> [69] subset(union(skolem_B2020, empty_set), skolem_B2020), subset(skolem_B2020, union(skolem_B2020, empty_set))
% 129.76/27.65
% 129.76/27.65 [69] CLOSURE : =
% 129.76/27.65
% 129.76/27.65 [67] BETA_NOT_AND : ~(subset(union(skolem_B2020, empty_set), skolem_B2020) & subset(skolem_B2020, union(skolem_B2020, empty_set)))
% 129.76/27.65 -> [70] ~subset(union(skolem_B2020, empty_set), skolem_B2020)
% 129.76/27.65 -> [71] ~subset(skolem_B2020, union(skolem_B2020, empty_set))
% 129.76/27.65
% 129.76/27.65 [70] Rewrite : ~subset(union(skolem_B2020, empty_set), skolem_B2020)
% 129.76/27.65 -> [72] ~(member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)) => member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020))
% 129.76/27.65
% 129.76/27.65 [72] ALPHA_NOT_IMPLY : ~(member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)) => member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020))
% 129.76/27.65 -> [74] member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)), ~member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020)
% 129.76/27.65
% 129.76/27.65 [74] CLOSURE : =
% 129.76/27.65
% 129.76/27.65 [71] ALPHA_NOT_IMPLY : ~(member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020) => member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), union(skolem_B2020, empty_set)))
% 129.76/27.65 -> [76] member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020), ~member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), union(skolem_B2020, empty_set))
% 129.76/27.65
% 129.76/27.65 [76] Rewrite : ~member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), union(skolem_B2020, empty_set))
% 129.76/27.65 -> [77] ~(member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020) | member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), empty_set))
% 129.76/27.65
% 129.76/27.65 [77] ALPHA_NOT_OR : ~(member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020) | member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), empty_set))
% 129.76/27.65 -> [78] ~member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020), ~member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), empty_set)
% 129.76/27.65
% 129.76/27.65 [78] CLOSURE : ~member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020)
% 129.76/27.65
% 129.76/27.65 [18] Rewrite : member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set))
% 129.76/27.65 -> [79] (member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020) | member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), empty_set))
% 129.76/27.65
% 129.76/27.65 [79] BETA_OR : (member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020) | member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), empty_set))
% 129.76/27.65 -> [80] member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020)
% 129.76/27.65 -> [81] member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), empty_set)
% 129.76/27.65
% 129.76/27.65 [81] CLOSURE : =
% 129.76/27.65
% 129.76/27.65 [80] GAMMA_FORALL : ! [D13_13] : ((member(D13_13, union(skolem_B2020, empty_set)) => member(D13_13, union(skolem_B2020, empty_set))))
% 129.76/27.65 -> [82] (member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)) => member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)))
% 129.76/27.65
% 129.76/27.65 [82] BETA_IMPLY : (member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)) => member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)))
% 129.76/27.65 -> [83] ~member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set))
% 129.76/27.65 -> [84] member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set))
% 129.76/27.65
% 129.76/27.65 [83] Rewrite : ~member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set))
% 129.76/27.65 -> [88] ~(member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020) | member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), empty_set))
% 129.76/27.65
% 129.76/27.65 [88] ALPHA_NOT_OR : ~(member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020) | member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), empty_set))
% 129.76/27.65 -> [89] ~member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020), ~member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), empty_set)
% 129.76/27.65
% 129.76/27.65 [89] CLOSURE : =
% 129.76/27.65
% 129.76/27.65 [84] BETA_OR : (member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020) | member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), empty_set))
% 129.76/27.65 -> [240] member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020)
% 129.76/27.65 -> [241] member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), empty_set)
% 129.76/27.65
% 129.76/27.65 [241] CLOSURE : =
% 129.76/27.65
% 129.76/27.65 [240] GAMMA_FORALL : ! [D19_19] : ((member(D19_19, empty_set) <=> member(D19_19, empty_set)))
% 129.76/27.65 -> [242] (member(D19_2_6, empty_set) <=> member(D19_2_6, empty_set))
% 129.76/27.65
% 129.76/27.65 [242] BETA_EQUIV : (member(D19_2_6, empty_set) <=> member(D19_2_6, empty_set))
% 129.76/27.65 -> [243] ~member(D19_2_6, empty_set)
% 129.76/27.65 -> [244] member(D19_2_6, empty_set)
% 129.76/27.65
% 129.76/27.65 [244] CLOSURE : =
% 129.76/27.65
% 129.76/27.65 [243] : ! [B6_6] : (~member(B6_6, empty_set))
% 129.76/27.65 -> [245] ! [B6_6] : (~member(B6_6, empty_set))
% 129.76/27.65
% 129.76/27.65 [245] GAMMA_FORALL : ! [B6_6] : (~member(B6_6, empty_set))
% 129.76/27.65 -> [246] ~member(B6_4_0, empty_set)
% 129.76/27.65
% 129.76/27.65 [246] GAMMA_FORALL : ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> (subset(B7_7, C8_8) & subset(C8_8, B7_7))))
% 129.76/27.65 -> [247] ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> (subset(B7_7, C8_8) & subset(C8_8, B7_7))))
% 129.76/27.65
% 129.76/27.65 [247] GAMMA_FORALL : ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> (subset(B7_7, C8_8) & subset(C8_8, B7_7))))
% 129.76/27.65 -> [248] (=(union(skolem_B2020, empty_set), skolem_B2020) <=> (subset(union(skolem_B2020, empty_set), skolem_B2020) & subset(skolem_B2020, union(skolem_B2020, empty_set))))
% 129.76/27.65
% 129.76/27.65 [248] BETA_EQUIV : (=(union(skolem_B2020, empty_set), skolem_B2020) <=> (subset(union(skolem_B2020, empty_set), skolem_B2020) & subset(skolem_B2020, union(skolem_B2020, empty_set))))
% 129.76/27.65 -> [249] ~=(union(skolem_B2020, empty_set), skolem_B2020), ~(subset(union(skolem_B2020, empty_set), skolem_B2020) & subset(skolem_B2020, union(skolem_B2020, empty_set)))
% 129.76/27.65 -> [250] =(union(skolem_B2020, empty_set), skolem_B2020), (subset(union(skolem_B2020, empty_set), skolem_B2020) & subset(skolem_B2020, union(skolem_B2020, empty_set)))
% 129.76/27.65
% 129.76/27.65 [250] ALPHA_AND : (subset(union(skolem_B2020, empty_set), skolem_B2020) & subset(skolem_B2020, union(skolem_B2020, empty_set)))
% 129.76/27.65 -> [251] subset(union(skolem_B2020, empty_set), skolem_B2020), subset(skolem_B2020, union(skolem_B2020, empty_set))
% 129.76/27.65
% 129.76/27.65 [251] CLOSURE : =
% 129.76/27.65
% 129.76/27.65 [249] BETA_NOT_AND : ~(subset(union(skolem_B2020, empty_set), skolem_B2020) & subset(skolem_B2020, union(skolem_B2020, empty_set)))
% 129.76/27.65 -> [373] ~subset(union(skolem_B2020, empty_set), skolem_B2020)
% 129.76/27.65 -> [374] ~subset(skolem_B2020, union(skolem_B2020, empty_set))
% 129.76/27.65
% 129.76/27.65 [373] Rewrite : ~subset(union(skolem_B2020, empty_set), skolem_B2020)
% 129.76/27.65 -> [376] ~(member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)) => member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020))
% 129.76/27.65
% 129.76/27.65 [376] ALPHA_NOT_IMPLY : ~(member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)) => member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020))
% 129.76/27.65 -> [378] member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), union(skolem_B2020, empty_set)), ~member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020)
% 129.76/27.65
% 129.76/27.65 [378] CLOSURE : ~member(skolem_D1313(union(skolem_B2020, empty_set), skolem_B2020), skolem_B2020)
% 129.76/27.65
% 129.76/27.65 [374] Rewrite : ~subset(skolem_B2020, union(skolem_B2020, empty_set))
% 129.76/27.65 -> [375] ~(member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020) => member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), union(skolem_B2020, empty_set)))
% 129.76/27.65
% 129.76/27.65 [375] ALPHA_NOT_IMPLY : ~(member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020) => member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), union(skolem_B2020, empty_set)))
% 129.76/27.65 -> [377] member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020), ~member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), union(skolem_B2020, empty_set))
% 129.76/27.65
% 129.76/27.65 [377] Rewrite : ~member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), union(skolem_B2020, empty_set))
% 129.76/27.65 -> [379] ~(member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020) | member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), empty_set))
% 129.76/27.65
% 129.76/27.65 [379] ALPHA_NOT_OR : ~(member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020) | member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), empty_set))
% 129.76/27.65 -> [380] ~member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020), ~member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), empty_set)
% 129.76/27.65
% 129.76/27.65 [380] CLOSURE : ~member(skolem_D1313(skolem_B2020, union(skolem_B2020, empty_set)), skolem_B2020)
% 129.76/27.65
% 129.76/27.65 % SZS output end Proof for theBenchmark.p
% 129.76/27.65 [27.319534s][1][Res] 199734 goroutines created
% 129.76/27.65 ==== Result ====
% 129.76/27.65 [27.319570s][1][Res] VALID
% 129.76/27.65 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------