TSTP Solution File: SET185+3 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% 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 04:15:44 EDT 2022
% Result : Theorem 55.68s 11.60s
% Output : Proof 55.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n026.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 03:29:53 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 [0.000077s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 9
% 0.12/0.34 Launch Gotab with destructive = true
% 55.68/11.59 % SZS output start Proof for theBenchmark.p
% 55.68/11.60 [0] ALPHA_AND : (! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9)))) & ! [B11_11, C12_12] : (=(union(B11_11, C12_12), union(C12_12, B11_11))) & ! [B13_13] : (subset(B13_13, B13_13)) & ! [B14_14, C15_15] : ((=(B14_14, C15_15) <=> ! [D16_16] : ((member(D16_16, B14_14) <=> member(D16_16, C15_15))))) & ~! [B17_17, C18_18] : ((subset(B17_17, C18_18) => =(union(B17_17, C18_18), C18_18))))
% 55.68/11.60 -> [1] ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9)))), ! [B11_11, C12_12] : (=(union(B11_11, C12_12), union(C12_12, B11_11))), ! [B13_13] : (subset(B13_13, B13_13)), ! [B14_14, C15_15] : ((=(B14_14, C15_15) <=> ! [D16_16] : ((member(D16_16, B14_14) <=> member(D16_16, C15_15))))), ~! [B17_17, C18_18] : ((subset(B17_17, C18_18) => =(union(B17_17, C18_18), C18_18)))
% 55.68/11.60
% 55.68/11.60 [1] DELTA_NOT_FORALL : ~! [B17_17, C18_18] : ((subset(B17_17, C18_18) => =(union(B17_17, C18_18), C18_18)))
% 55.68/11.60 -> [2] ~(subset(skolem_B1717, skolem_C1818) => =(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [2] ALPHA_NOT_IMPLY : ~(subset(skolem_B1717, skolem_C1818) => =(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [3] subset(skolem_B1717, skolem_C1818), ~=(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [3] Rewrite : subset(skolem_B1717, skolem_C1818)
% 55.68/11.60 -> [4] ! [D8_8] : ((member(D8_8, skolem_B1717) => member(D8_8, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [4] GAMMA_FORALL : ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9))))
% 55.68/11.60 -> [5] (=(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818)) <=> (subset(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818))))
% 55.68/11.60
% 55.68/11.60 [5] BETA_EQUIV : (=(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818)) <=> (subset(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818))))
% 55.68/11.60 -> [6] ~=(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818)), ~(subset(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [7] =(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818)), (subset(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [6] CLOSURE : ~=(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [8] Rewrite : subset(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [9] ! [D8_8] : ((member(D8_8, union(skolem_B1717, skolem_C1818)) => member(D8_8, union(skolem_B1717, skolem_C1818))))
% 55.68/11.60
% 55.68/11.60 [9] GAMMA_FORALL : ! [B11_11, C12_12] : (=(union(B11_11, C12_12), union(C12_12, B11_11)))
% 55.68/11.60 -> [10] =(union(B11_0_1, C12_0_1), union(C12_0_1, B11_0_1))
% 55.68/11.60
% 55.68/11.60 [10] GAMMA_FORALL : ! [B13_13] : (subset(B13_13, B13_13))
% 55.68/11.60 -> [11] subset(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [11] Rewrite : subset(union(skolem_B1717, skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [12] ! [D8_8] : ((member(D8_8, union(skolem_B1717, skolem_C1818)) => member(D8_8, union(skolem_B1717, skolem_C1818))))
% 55.68/11.60
% 55.68/11.60 [12] GAMMA_FORALL : ! [B14_14, C15_15] : ((=(B14_14, C15_15) <=> ! [D16_16] : ((member(D16_16, B14_14) <=> member(D16_16, C15_15)))))
% 55.68/11.60 -> [13] (=(skolem_C1818, skolem_C1818) <=> ! [D16_16] : ((member(D16_16, skolem_C1818) <=> member(D16_16, skolem_C1818))))
% 55.68/11.60
% 55.68/11.60 [13] BETA_EQUIV : (=(skolem_C1818, skolem_C1818) <=> ! [D16_16] : ((member(D16_16, skolem_C1818) <=> member(D16_16, skolem_C1818))))
% 55.68/11.60 -> [14] ~=(skolem_C1818, skolem_C1818), ~! [D16_16] : ((member(D16_16, skolem_C1818) <=> member(D16_16, skolem_C1818)))
% 55.68/11.60 -> [15] =(skolem_C1818, skolem_C1818), ! [D16_16] : ((member(D16_16, skolem_C1818) <=> member(D16_16, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [14] DELTA_NOT_FORALL : ~! [D16_16] : ((member(D16_16, skolem_C1818) <=> member(D16_16, skolem_C1818)))
% 55.68/11.60 -> [16] ~(member(skolem_D1616(skolem_C1818, skolem_C1818), skolem_C1818) <=> member(skolem_D1616(skolem_C1818, skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [16] CLOSURE : ~! [D16_16] : ((member(D16_16, skolem_C1818) <=> member(D16_16, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [15] GAMMA_FORALL : ! [D8_8] : ((member(D8_8, skolem_B1717) => member(D8_8, skolem_C1818)))
% 55.68/11.60 -> [17] (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [17] BETA_IMPLY : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [18] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717)
% 55.68/11.60 -> [19] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [19] GAMMA_FORALL : ! [D8_8] : ((member(D8_8, union(skolem_B1717, skolem_C1818)) => member(D8_8, union(skolem_B1717, skolem_C1818))))
% 55.68/11.60 -> [20] (member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [20] BETA_IMPLY : (member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [21] ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [22] member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [22] GAMMA_FORALL : ! [D8_8] : ((member(D8_8, union(skolem_B1717, skolem_C1818)) => member(D8_8, union(skolem_B1717, skolem_C1818))))
% 55.68/11.60 -> [26] (member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [26] BETA_IMPLY : (member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [27] ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [28] member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [27] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [32] BETA_EQUIV : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818) <=> member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [70] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60 -> [71] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [71] : ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9))))
% 55.68/11.60 -> [73] ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9))))
% 55.68/11.60
% 55.68/11.60 [73] GAMMA_FORALL : ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9))))
% 55.68/11.60 -> [74] (=(skolem_C1818, union(skolem_B1717, skolem_C1818)) <=> (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [74] BETA_EQUIV : (=(skolem_C1818, union(skolem_B1717, skolem_C1818)) <=> (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818)))
% 55.68/11.60 -> [75] ~=(skolem_C1818, union(skolem_B1717, skolem_C1818)), ~(subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [76] =(skolem_C1818, union(skolem_B1717, skolem_C1818)), (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [76] ALPHA_AND : (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [77] subset(skolem_C1818, union(skolem_B1717, skolem_C1818)), subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [77] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [75] BETA_NOT_AND : ~(subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [85] ~subset(skolem_C1818, union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [86] ~subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [86] Rewrite : ~subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60 -> [87] ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [87] ALPHA_NOT_IMPLY : ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [89] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)), ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [89] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [85] ALPHA_NOT_IMPLY : ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [92] member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818), ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [92] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [70] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [21] Rewrite : ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [105] ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_B1717) | member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [105] ALPHA_NOT_OR : ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_B1717) | member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818))
% 55.68/11.60 -> [106] ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_B1717), ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [106] GAMMA_FORALL : ! [D8_8] : ((member(D8_8, union(skolem_B1717, skolem_C1818)) => member(D8_8, union(skolem_B1717, skolem_C1818))))
% 55.68/11.60 -> [109] (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [109] BETA_IMPLY : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [110] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [111] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [110] Rewrite : ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [115] ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [115] ALPHA_NOT_OR : ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [116] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717), ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [116] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [111] BETA_OR : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [123] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717)
% 55.68/11.60 -> [124] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [124] GAMMA_FORALL : ! [D16_16] : ((member(D16_16, skolem_C1818) <=> member(D16_16, skolem_C1818)))
% 55.68/11.60 -> [128] (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818) <=> member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [128] BETA_EQUIV : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818) <=> member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [129] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60 -> [130] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [129] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [130] : ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9))))
% 55.68/11.60 -> [138] ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9))))
% 55.68/11.60
% 55.68/11.60 [138] GAMMA_FORALL : ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9))))
% 55.68/11.60 -> [139] (=(skolem_C1818, union(skolem_B1717, skolem_C1818)) <=> (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [139] BETA_EQUIV : (=(skolem_C1818, union(skolem_B1717, skolem_C1818)) <=> (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818)))
% 55.68/11.60 -> [140] ~=(skolem_C1818, union(skolem_B1717, skolem_C1818)), ~(subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [141] =(skolem_C1818, union(skolem_B1717, skolem_C1818)), (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [141] ALPHA_AND : (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [146] subset(skolem_C1818, union(skolem_B1717, skolem_C1818)), subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [146] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [140] BETA_NOT_AND : ~(subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [179] ~subset(skolem_C1818, union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [180] ~subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [179] Rewrite : ~subset(skolem_C1818, union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [181] ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [181] ALPHA_NOT_IMPLY : ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [182] member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818), ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [182] CLOSURE : member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [180] Rewrite : ~subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60 -> [183] ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [183] ALPHA_NOT_IMPLY : ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [184] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)), ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [184] CLOSURE : ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [123] GAMMA_FORALL : ! [D16_16] : ((member(D16_16, skolem_C1818) <=> member(D16_16, skolem_C1818)))
% 55.68/11.60 -> [135] (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818) <=> member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [135] BETA_EQUIV : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818) <=> member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [136] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60 -> [137] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [136] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [137] : ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9))))
% 55.68/11.60 -> [142] ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9))))
% 55.68/11.60
% 55.68/11.60 [142] GAMMA_FORALL : ! [B9_9, C10_10] : ((=(B9_9, C10_10) <=> (subset(B9_9, C10_10) & subset(C10_10, B9_9))))
% 55.68/11.60 -> [143] (=(skolem_C1818, union(skolem_B1717, skolem_C1818)) <=> (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [143] BETA_EQUIV : (=(skolem_C1818, union(skolem_B1717, skolem_C1818)) <=> (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818)))
% 55.68/11.60 -> [144] ~=(skolem_C1818, union(skolem_B1717, skolem_C1818)), ~(subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [145] =(skolem_C1818, union(skolem_B1717, skolem_C1818)), (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [145] ALPHA_AND : (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [148] subset(skolem_C1818, union(skolem_B1717, skolem_C1818)), subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [148] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [144] BETA_NOT_AND : ~(subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [191] ~subset(skolem_C1818, union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [192] ~subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [191] Rewrite : ~subset(skolem_C1818, union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [193] ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [193] ALPHA_NOT_IMPLY : ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [195] member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818), ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [195] CLOSURE : member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [192] Rewrite : ~subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60 -> [194] ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [194] ALPHA_NOT_IMPLY : ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [196] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)), ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [196] CLOSURE : ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [23] BETA_IMPLY : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [197] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [198] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [198] Rewrite : member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [201] (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [201] BETA_OR : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [202] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717)
% 55.68/11.60 -> [203] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [202] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [203] GAMMA_FORALL : ! [D8_8] : ((member(D8_8, union(skolem_B1717, skolem_C1818)) => member(D8_8, union(skolem_B1717, skolem_C1818))))
% 55.68/11.60 -> [212] (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [212] BETA_IMPLY : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [213] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [214] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [214] Rewrite : member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [225] (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [225] BETA_OR : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [226] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717)
% 55.68/11.60 -> [227] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [226] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [227] GAMMA_FORALL : ! [D16_16] : ((member(D16_16, skolem_C1818) <=> member(D16_16, skolem_C1818)))
% 55.68/11.60 -> [235] (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818) <=> member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [235] BETA_EQUIV : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818) <=> member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [236] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60 -> [237] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [236] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [240] BETA_EQUIV : (=(union(skolem_B1717, skolem_C1818), skolem_C1818) <=> (subset(union(skolem_B1717, skolem_C1818), skolem_C1818) & subset(skolem_C1818, union(skolem_B1717, skolem_C1818))))
% 55.68/11.60 -> [277] ~=(union(skolem_B1717, skolem_C1818), skolem_C1818), ~(subset(union(skolem_B1717, skolem_C1818), skolem_C1818) & subset(skolem_C1818, union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [278] =(union(skolem_B1717, skolem_C1818), skolem_C1818), (subset(union(skolem_B1717, skolem_C1818), skolem_C1818) & subset(skolem_C1818, union(skolem_B1717, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [278] ALPHA_AND : (subset(union(skolem_B1717, skolem_C1818), skolem_C1818) & subset(skolem_C1818, union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [279] subset(union(skolem_B1717, skolem_C1818), skolem_C1818), subset(skolem_C1818, union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [279] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [277] BETA_NOT_AND : ~(subset(union(skolem_B1717, skolem_C1818), skolem_C1818) & subset(skolem_C1818, union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [288] ~subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60 -> [289] ~subset(skolem_C1818, union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [288] Rewrite : ~subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60 -> [290] ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [290] ALPHA_NOT_IMPLY : ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [292] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)), ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [292] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [289] Rewrite : ~subset(skolem_C1818, union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [291] ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [291] ALPHA_NOT_IMPLY : ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [293] member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818), ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [293] Rewrite : ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [294] ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_B1717) | member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [294] ALPHA_NOT_OR : ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_B1717) | member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818))
% 55.68/11.60 -> [295] ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_B1717), ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [295] CLOSURE : ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [213] ALPHA_NOT_OR : ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [296] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717), ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [296] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [197] ALPHA_NOT_OR : ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [297] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717), ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [297] GAMMA_FORALL : ! [D8_8] : ((member(D8_8, union(skolem_B1717, skolem_C1818)) => member(D8_8, union(skolem_B1717, skolem_C1818))))
% 55.68/11.60 -> [298] (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [298] BETA_IMPLY : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [299] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [300] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [300] Rewrite : member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [306] (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [306] BETA_OR : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [307] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717)
% 55.68/11.60 -> [308] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [308] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [307] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [299] ALPHA_NOT_OR : ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [339] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717), ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [339] GAMMA_FORALL : ! [D16_16] : ((member(D16_16, skolem_C1818) <=> member(D16_16, skolem_C1818)))
% 55.68/11.60 -> [340] (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818) <=> member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [340] BETA_EQUIV : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818) <=> member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [341] ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60 -> [342] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [342] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [344] BETA_EQUIV : (=(skolem_C1818, union(skolem_B1717, skolem_C1818)) <=> (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818)))
% 55.68/11.60 -> [358] ~=(skolem_C1818, union(skolem_B1717, skolem_C1818)), ~(subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [359] =(skolem_C1818, union(skolem_B1717, skolem_C1818)), (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [359] ALPHA_AND : (subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [360] subset(skolem_C1818, union(skolem_B1717, skolem_C1818)), subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [360] CLOSURE : =
% 55.68/11.60
% 55.68/11.60 [358] BETA_NOT_AND : ~(subset(skolem_C1818, union(skolem_B1717, skolem_C1818)) & subset(union(skolem_B1717, skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [363] ~subset(skolem_C1818, union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [364] ~subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [363] Rewrite : ~subset(skolem_C1818, union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [365] ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60
% 55.68/11.60 [365] ALPHA_NOT_IMPLY : ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818) => member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818)))
% 55.68/11.60 -> [367] member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818), ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [367] Rewrite : ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [370] ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_B1717) | member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [370] ALPHA_NOT_OR : ~(member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_B1717) | member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818))
% 55.68/11.60 -> [371] ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_B1717), ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [371] CLOSURE : ~member(skolem_D88(skolem_C1818, union(skolem_B1717, skolem_C1818)), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [364] Rewrite : ~subset(union(skolem_B1717, skolem_C1818), skolem_C1818)
% 55.68/11.60 -> [366] ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [366] ALPHA_NOT_IMPLY : ~(member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)) => member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [368] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818)), ~member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [368] Rewrite : member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), union(skolem_B1717, skolem_C1818))
% 55.68/11.60 -> [369] (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60
% 55.68/11.60 [369] BETA_OR : (member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717) | member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818))
% 55.68/11.60 -> [372] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717)
% 55.68/11.60 -> [373] member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 [372] CLOSURE : member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_B1717)
% 55.68/11.60
% 55.68/11.60 [373] CLOSURE : member(skolem_D88(union(skolem_B1717, skolem_C1818), skolem_C1818), skolem_C1818)
% 55.68/11.60
% 55.68/11.60 % SZS output end Proof for theBenchmark.p
% 55.68/11.60 [11.262427s][1][Res] 97911 goroutines created
% 55.68/11.60 ==== Result ====
% 55.68/11.60 [11.262463s][1][Res] VALID
% 55.68/11.60 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------