TSTP Solution File: SET600+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET600+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n009.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 04:16:47 EDT 2022
% Result : Theorem 229.08s 33.21s
% Output : Proof 229.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET600+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n009.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 06:48:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000053s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 12
% 0.12/0.35 Launch Gotab with destructive = true
% 229.08/33.20 % SZS output start Proof for theBenchmark.p
% 229.08/33.21 [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, C21_21] : ((=(union(B20_20, C21_21), empty_set) <=> (=(B20_20, empty_set) & =(C21_21, empty_set)))))
% 229.08/33.21 -> [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, C21_21] : ((=(union(B20_20, C21_21), empty_set) <=> (=(B20_20, empty_set) & =(C21_21, empty_set))))
% 229.08/33.21
% 229.08/33.21 [1] DELTA_NOT_FORALL : ~! [B20_20, C21_21] : ((=(union(B20_20, C21_21), empty_set) <=> (=(B20_20, empty_set) & =(C21_21, empty_set))))
% 229.08/33.21 -> [2] ~(=(union(skolem_B2020, skolem_C2121), empty_set) <=> (=(skolem_B2020, empty_set) & =(skolem_C2121, empty_set)))
% 229.08/33.21
% 229.08/33.21 [2] BETA_NOT_EQUIV : ~(=(union(skolem_B2020, skolem_C2121), empty_set) <=> (=(skolem_B2020, empty_set) & =(skolem_C2121, empty_set)))
% 229.08/33.21 -> [3] ~=(union(skolem_B2020, skolem_C2121), empty_set), (=(skolem_B2020, empty_set) & =(skolem_C2121, empty_set))
% 229.08/33.21 -> [4] =(union(skolem_B2020, skolem_C2121), empty_set), ~(=(skolem_B2020, empty_set) & =(skolem_C2121, empty_set))
% 229.08/33.21
% 229.08/33.21 [3] ALPHA_AND : (=(skolem_B2020, empty_set) & =(skolem_C2121, empty_set))
% 229.08/33.21 -> [5] =(skolem_B2020, empty_set), =(skolem_C2121, empty_set)
% 229.08/33.21
% 229.08/33.21 [5] GAMMA_FORALL : ! [B6_6] : (~member(B6_6, empty_set))
% 229.08/33.21 -> [23] ~member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), empty_set)
% 229.08/33.21
% 229.08/33.21 [23] GAMMA_FORALL : ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> (subset(B7_7, C8_8) & subset(C8_8, B7_7))))
% 229.08/33.21 -> [39] (=(C8_2_1, C8_2_1) <=> (subset(C8_2_1, C8_2_1) & subset(C8_2_1, C8_2_1)))
% 229.08/33.21
% 229.08/33.21 [39] BETA_EQUIV : (=(C8_2_1, C8_2_1) <=> (subset(C8_2_1, C8_2_1) & subset(C8_2_1, C8_2_1)))
% 229.08/33.21 -> [40] ~=(C8_2_1, C8_2_1), ~(subset(C8_2_1, C8_2_1) & subset(C8_2_1, C8_2_1))
% 229.08/33.21 -> [41] =(C8_2_1, C8_2_1), (subset(C8_2_1, C8_2_1) & subset(C8_2_1, C8_2_1))
% 229.08/33.21
% 229.08/33.21 [40] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [42] Rewrite : subset(C8_2_1, C8_2_1)
% 229.08/33.21 -> [49] ! [D13_13] : ((member(D13_13, C8_2_1) => member(D13_13, C8_2_1)))
% 229.08/33.21
% 229.08/33.21 [49] GAMMA_FORALL : ! [B9_9, C10_10] : (=(union(B9_9, C10_10), union(C10_10, B9_9)))
% 229.08/33.21 -> [50] =(union(B9_2_2, C10_2_2), union(C10_2_2, B9_2_2))
% 229.08/33.21
% 229.08/33.21 [50] GAMMA_FORALL : ! [B14_14] : (subset(B14_14, B14_14))
% 229.08/33.21 -> [56] subset(B14_2_3, B14_2_3)
% 229.08/33.21
% 229.08/33.21 [56] Rewrite : subset(B14_2_3, B14_2_3)
% 229.08/33.21 -> [57] ! [D13_13] : ((member(D13_13, B14_2_3) => member(D13_13, B14_2_3)))
% 229.08/33.21
% 229.08/33.21 [57] GAMMA_FORALL : ! [B17_17, C18_18] : ((=(B17_17, C18_18) <=> ! [D19_19] : ((member(D19_19, B17_17) <=> member(D19_19, C18_18)))))
% 229.08/33.21 -> [58] (=(union(skolem_B2020, skolem_C2121), empty_set) <=> ! [D19_19] : ((member(D19_19, union(skolem_B2020, skolem_C2121)) <=> member(D19_19, empty_set))))
% 229.08/33.21
% 229.08/33.21 [58] BETA_EQUIV : (=(union(skolem_B2020, skolem_C2121), empty_set) <=> ! [D19_19] : ((member(D19_19, union(skolem_B2020, skolem_C2121)) <=> member(D19_19, empty_set))))
% 229.08/33.21 -> [59] ~=(union(skolem_B2020, skolem_C2121), empty_set), ~! [D19_19] : ((member(D19_19, union(skolem_B2020, skolem_C2121)) <=> member(D19_19, empty_set)))
% 229.08/33.21 -> [60] =(union(skolem_B2020, skolem_C2121), empty_set), ! [D19_19] : ((member(D19_19, union(skolem_B2020, skolem_C2121)) <=> member(D19_19, empty_set)))
% 229.08/33.21
% 229.08/33.21 [60] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [61] BETA_NOT_EQUIV : ~(member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), union(skolem_B2020, skolem_C2121)) <=> member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), empty_set))
% 229.08/33.21 -> [62] ~member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), union(skolem_B2020, skolem_C2121)), member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), empty_set)
% 229.08/33.21 -> [63] member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), union(skolem_B2020, skolem_C2121)), ~member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), empty_set)
% 229.08/33.21
% 229.08/33.21 [62] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [63] Rewrite : member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), union(skolem_B2020, skolem_C2121))
% 229.08/33.21 -> [70] (member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), skolem_B2020) | member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), skolem_C2121))
% 229.08/33.21
% 229.08/33.21 [70] BETA_OR : (member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), skolem_B2020) | member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), skolem_C2121))
% 229.08/33.21 -> [71] member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), skolem_B2020)
% 229.08/33.21 -> [72] member(skolem_D1919(union(skolem_B2020, skolem_C2121), empty_set), skolem_C2121)
% 229.08/33.21
% 229.08/33.21 [71] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [72] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [4] BETA_NOT_AND : ~(=(skolem_B2020, empty_set) & =(skolem_C2121, empty_set))
% 229.08/33.21 -> [6] ~=(skolem_B2020, empty_set)
% 229.08/33.21 -> [7] ~=(skolem_C2121, empty_set)
% 229.08/33.21
% 229.08/33.21 [6] GAMMA_FORALL : ! [B6_6] : (~member(B6_6, empty_set))
% 229.08/33.21 -> [9] ~member(skolem_D1919(skolem_B2020, empty_set), empty_set)
% 229.08/33.21
% 229.08/33.21 [9] GAMMA_FORALL : ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> (subset(B7_7, C8_8) & subset(C8_8, B7_7))))
% 229.08/33.21 -> [10] (=(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)) <=> (subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)) & subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121))))
% 229.08/33.21
% 229.08/33.21 [10] BETA_EQUIV : (=(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)) <=> (subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)) & subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121))))
% 229.08/33.21 -> [12] ~=(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)), ~(subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)) & subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)))
% 229.08/33.21 -> [13] =(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)), (subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)) & subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)))
% 229.08/33.21
% 229.08/33.21 [12] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [17] Rewrite : subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121))
% 229.08/33.21 -> [20] ! [D13_13] : ((member(D13_13, union(skolem_B2020, skolem_C2121)) => member(D13_13, union(skolem_B2020, skolem_C2121))))
% 229.08/33.21
% 229.08/33.21 [20] GAMMA_FORALL : ! [B9_9, C10_10] : (=(union(B9_9, C10_10), union(C10_10, B9_9)))
% 229.08/33.21 -> [21] =(union(B9_1_2, C10_1_2), union(C10_1_2, B9_1_2))
% 229.08/33.21
% 229.08/33.21 [21] GAMMA_FORALL : ! [B14_14] : (subset(B14_14, B14_14))
% 229.08/33.21 -> [24] subset(B14_1_3, B14_1_3)
% 229.08/33.21
% 229.08/33.21 [24] Rewrite : subset(B14_1_3, B14_1_3)
% 229.08/33.21 -> [29] ! [D13_13] : ((member(D13_13, B14_1_3) => member(D13_13, B14_1_3)))
% 229.08/33.21
% 229.08/33.21 [29] GAMMA_FORALL : ! [B17_17, C18_18] : ((=(B17_17, C18_18) <=> ! [D19_19] : ((member(D19_19, B17_17) <=> member(D19_19, C18_18)))))
% 229.08/33.21 -> [30] (=(skolem_B2020, empty_set) <=> ! [D19_19] : ((member(D19_19, skolem_B2020) <=> member(D19_19, empty_set))))
% 229.08/33.21
% 229.08/33.21 [30] BETA_EQUIV : (=(skolem_B2020, empty_set) <=> ! [D19_19] : ((member(D19_19, skolem_B2020) <=> member(D19_19, empty_set))))
% 229.08/33.21 -> [31] ~=(skolem_B2020, empty_set), ~! [D19_19] : ((member(D19_19, skolem_B2020) <=> member(D19_19, empty_set)))
% 229.08/33.21 -> [32] =(skolem_B2020, empty_set), ! [D19_19] : ((member(D19_19, skolem_B2020) <=> member(D19_19, empty_set)))
% 229.08/33.21
% 229.08/33.21 [32] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [36] BETA_NOT_EQUIV : ~(member(skolem_D1919(skolem_B2020, empty_set), skolem_B2020) <=> member(skolem_D1919(skolem_B2020, empty_set), empty_set))
% 229.08/33.21 -> [37] ~member(skolem_D1919(skolem_B2020, empty_set), skolem_B2020), member(skolem_D1919(skolem_B2020, empty_set), empty_set)
% 229.08/33.21 -> [38] member(skolem_D1919(skolem_B2020, empty_set), skolem_B2020), ~member(skolem_D1919(skolem_B2020, empty_set), empty_set)
% 229.08/33.21
% 229.08/33.21 [38] GAMMA_FORALL : ! [D13_13] : ((member(D13_13, union(skolem_B2020, skolem_C2121)) => member(D13_13, union(skolem_B2020, skolem_C2121))))
% 229.08/33.21 -> [46] (member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121)) => member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121)))
% 229.08/33.21
% 229.08/33.21 [46] BETA_IMPLY : (member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121)) => member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121)))
% 229.08/33.21 -> [47] ~member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121))
% 229.08/33.21 -> [48] member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121))
% 229.08/33.21
% 229.08/33.21 [48] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [47] Rewrite : ~member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121))
% 229.08/33.21 -> [51] ~(member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), skolem_B2020) | member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), skolem_C2121))
% 229.08/33.21
% 229.08/33.21 [51] ALPHA_NOT_OR : ~(member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), skolem_B2020) | member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), skolem_C2121))
% 229.08/33.21 -> [52] ~member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), skolem_B2020), ~member(skolem_D1919(skolem_B2020, union(skolem_B2020, skolem_C2121)), skolem_C2121)
% 229.08/33.21
% 229.08/33.21 [52] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [37] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [7] GAMMA_FORALL : ! [B6_6] : (~member(B6_6, empty_set))
% 229.08/33.21 -> [8] ~member(skolem_D1919(skolem_C2121, empty_set), empty_set)
% 229.08/33.21
% 229.08/33.21 [8] GAMMA_FORALL : ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> (subset(B7_7, C8_8) & subset(C8_8, B7_7))))
% 229.08/33.21 -> [11] (=(empty_set, empty_set) <=> (subset(empty_set, empty_set) & subset(empty_set, empty_set)))
% 229.08/33.21
% 229.08/33.21 [11] BETA_EQUIV : (=(empty_set, empty_set) <=> (subset(empty_set, empty_set) & subset(empty_set, empty_set)))
% 229.08/33.21 -> [14] ~=(empty_set, empty_set), ~(subset(empty_set, empty_set) & subset(empty_set, empty_set))
% 229.08/33.21 -> [15] =(empty_set, empty_set), (subset(empty_set, empty_set) & subset(empty_set, empty_set))
% 229.08/33.21
% 229.08/33.21 [14] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [16] Rewrite : subset(empty_set, empty_set)
% 229.08/33.21 -> [18] ! [D13_13] : ((member(D13_13, empty_set) => member(D13_13, empty_set)))
% 229.08/33.21
% 229.08/33.21 [18] GAMMA_FORALL : ! [B9_9, C10_10] : (=(union(B9_9, C10_10), union(C10_10, B9_9)))
% 229.08/33.21 -> [19] =(union(B9_0_2, C10_0_2), union(C10_0_2, B9_0_2))
% 229.08/33.21
% 229.08/33.21 [19] GAMMA_FORALL : ! [B14_14] : (subset(B14_14, B14_14))
% 229.08/33.21 -> [22] subset(empty_set, empty_set)
% 229.08/33.21
% 229.08/33.21 [22] Rewrite : subset(empty_set, empty_set)
% 229.08/33.21 -> [25] ! [D13_13] : ((member(D13_13, empty_set) => member(D13_13, empty_set)))
% 229.08/33.21
% 229.08/33.21 [25] GAMMA_FORALL : ! [B17_17, C18_18] : ((=(B17_17, C18_18) <=> ! [D19_19] : ((member(D19_19, B17_17) <=> member(D19_19, C18_18)))))
% 229.08/33.21 -> [26] (=(skolem_C2121, empty_set) <=> ! [D19_19] : ((member(D19_19, skolem_C2121) <=> member(D19_19, empty_set))))
% 229.08/33.21
% 229.08/33.21 [26] BETA_EQUIV : (=(skolem_C2121, empty_set) <=> ! [D19_19] : ((member(D19_19, skolem_C2121) <=> member(D19_19, empty_set))))
% 229.08/33.21 -> [27] ~=(skolem_C2121, empty_set), ~! [D19_19] : ((member(D19_19, skolem_C2121) <=> member(D19_19, empty_set)))
% 229.08/33.21 -> [28] =(skolem_C2121, empty_set), ! [D19_19] : ((member(D19_19, skolem_C2121) <=> member(D19_19, empty_set)))
% 229.08/33.21
% 229.08/33.21 [28] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [33] BETA_NOT_EQUIV : ~(member(skolem_D1919(skolem_C2121, empty_set), skolem_C2121) <=> member(skolem_D1919(skolem_C2121, empty_set), empty_set))
% 229.08/33.21 -> [34] ~member(skolem_D1919(skolem_C2121, empty_set), skolem_C2121), member(skolem_D1919(skolem_C2121, empty_set), empty_set)
% 229.08/33.21 -> [35] member(skolem_D1919(skolem_C2121, empty_set), skolem_C2121), ~member(skolem_D1919(skolem_C2121, empty_set), empty_set)
% 229.08/33.21
% 229.08/33.21 [35] GAMMA_FORALL : ! [D13_13] : ((member(D13_13, empty_set) => member(D13_13, empty_set)))
% 229.08/33.21 -> [43] (member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), empty_set) => member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), empty_set))
% 229.08/33.21
% 229.08/33.21 [43] BETA_IMPLY : (member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), empty_set) => member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), empty_set))
% 229.08/33.21 -> [44] ~member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), empty_set)
% 229.08/33.21 -> [45] member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), empty_set)
% 229.08/33.21
% 229.08/33.21 [45] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [44] GAMMA_FORALL : ! [D13_13] : ((member(D13_13, empty_set) => member(D13_13, empty_set)))
% 229.08/33.21 -> [53] (member(D13_2_6, empty_set) => member(D13_2_6, empty_set))
% 229.08/33.21
% 229.08/33.21 [53] BETA_IMPLY : (member(D13_2_6, empty_set) => member(D13_2_6, empty_set))
% 229.08/33.21 -> [54] ~member(D13_2_6, empty_set)
% 229.08/33.21 -> [55] member(D13_2_6, empty_set)
% 229.08/33.21
% 229.08/33.21 [55] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [54] : ! [B6_6] : (~member(B6_6, empty_set))
% 229.08/33.21 -> [64] ! [B6_6] : (~member(B6_6, empty_set))
% 229.08/33.21
% 229.08/33.21 [64] GAMMA_FORALL : ! [B6_6] : (~member(B6_6, empty_set))
% 229.08/33.21 -> [65] ~member(B6_3_0, empty_set)
% 229.08/33.21
% 229.08/33.21 [65] GAMMA_FORALL : ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> (subset(B7_7, C8_8) & subset(C8_8, B7_7))))
% 229.08/33.21 -> [66] ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> (subset(B7_7, C8_8) & subset(C8_8, B7_7))))
% 229.08/33.21
% 229.08/33.21 [66] GAMMA_FORALL : ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> (subset(B7_7, C8_8) & subset(C8_8, B7_7))))
% 229.08/33.21 -> [67] (=(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)) <=> (subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)) & subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121))))
% 229.08/33.21
% 229.08/33.21 [67] BETA_EQUIV : (=(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)) <=> (subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)) & subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121))))
% 229.08/33.21 -> [68] ~=(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)), ~(subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)) & subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)))
% 229.08/33.21 -> [69] =(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)), (subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)) & subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121)))
% 229.08/33.21
% 229.08/33.21 [68] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [73] Rewrite : subset(union(skolem_B2020, skolem_C2121), union(skolem_B2020, skolem_C2121))
% 229.08/33.21 -> [74] ! [D13_13] : ((member(D13_13, union(skolem_B2020, skolem_C2121)) => member(D13_13, union(skolem_B2020, skolem_C2121))))
% 229.08/33.21
% 229.08/33.21 [74] GAMMA_FORALL : ! [D13_13] : ((member(D13_13, union(skolem_B2020, skolem_C2121)) => member(D13_13, union(skolem_B2020, skolem_C2121))))
% 229.08/33.21 -> [75] (member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121)) => member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121)))
% 229.08/33.21
% 229.08/33.21 [75] BETA_IMPLY : (member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121)) => member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121)))
% 229.08/33.21 -> [76] ~member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121))
% 229.08/33.21 -> [77] member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121))
% 229.08/33.21
% 229.08/33.21 [77] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [76] Rewrite : ~member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), union(skolem_B2020, skolem_C2121))
% 229.08/33.21 -> [103] ~(member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), skolem_B2020) | member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), skolem_C2121))
% 229.08/33.21
% 229.08/33.21 [103] ALPHA_NOT_OR : ~(member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), skolem_B2020) | member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), skolem_C2121))
% 229.08/33.21 -> [104] ~member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), skolem_B2020), ~member(skolem_D1919(skolem_C2121, union(skolem_B2020, skolem_C2121)), skolem_C2121)
% 229.08/33.21
% 229.08/33.21 [104] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 [34] CLOSURE : =
% 229.08/33.21
% 229.08/33.21 % SZS output end Proof for theBenchmark.p
% 229.08/33.21 [32.863269s][1][Res] 286426 goroutines created
% 229.08/33.21 ==== Result ====
% 229.08/33.21 [32.863303s][1][Res] VALID
% 229.08/33.21 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------