TSTP Solution File: SEU120+1 by Goeland---1.0.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : SEU120+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% Computer : n018.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 05:55:24 EDT 2022

% Result   : Theorem 54.78s 8.19s
% Output   : Proof 54.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SEU120+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command    : goeland -dmt -presko -proof %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Sep  3 09:35:59 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  [DMT] DMT loaded with preskolemization
% 0.14/0.36  [EQ] equality loaded.
% 0.14/0.36  [0.000053s][1][MAIN] Problem : theBenchmark.p
% 0.14/0.36  Start search
% 0.14/0.36  nb_step : 1 - limit : 12
% 0.14/0.36  Launch Gotab with destructive = true
% 54.78/8.19  % SZS output start Proof for theBenchmark.p
% 54.78/8.19  [0] ALPHA_AND : (! [A3_3, B4_4] :  ((in(A3_3, B4_4) => ~in(B4_4, A3_3))) & ! [A5_5, B6_6] :  (=(set_intersection2(A5_5, B6_6), set_intersection2(B6_6, A5_5))) & ! [A7_7] :  ((=(A7_7, empty_set) <=> ! [B8_8] :  (~in(B8_8, A7_7)))) & ! [A9_9, B10_10] :  ((disjoint(A9_9, B10_10) <=> =(set_intersection2(A9_9, B10_10), empty_set))) & $true & $true & empty(empty_set) & ! [A11_11, B12_12] :  (=(set_intersection2(A11_11, A11_11), A11_11)) & ? [A13_13] :  (empty(A13_13)) & ? [A14_14] :  (~empty(A14_14)) & ! [A15_15, B16_16] :  ((disjoint(A15_15, B16_16) => disjoint(B16_16, A15_15))) & ~! [A17_17, B18_18] :  ((~(~disjoint(A17_17, B18_18) & ! [C19_19] :  (~in(C19_19, set_intersection2(A17_17, B18_18)))) & ~(? [C20_20] :  (in(C20_20, set_intersection2(A17_17, B18_18))) & disjoint(A17_17, B18_18)))))
% 54.78/8.19  	-> [1] ! [A3_3, B4_4] :  ((in(A3_3, B4_4) => ~in(B4_4, A3_3))), ! [A5_5, B6_6] :  (=(set_intersection2(A5_5, B6_6), set_intersection2(B6_6, A5_5))), ! [A7_7] :  ((=(A7_7, empty_set) <=> ! [B8_8] :  (~in(B8_8, A7_7)))), ! [A9_9, B10_10] :  ((disjoint(A9_9, B10_10) <=> =(set_intersection2(A9_9, B10_10), empty_set))), $true, empty(empty_set), ! [A11_11, B12_12] :  (=(set_intersection2(A11_11, A11_11), A11_11)), ? [A13_13] :  (empty(A13_13)), ? [A14_14] :  (~empty(A14_14)), ! [A15_15, B16_16] :  ((disjoint(A15_15, B16_16) => disjoint(B16_16, A15_15))), ~! [A17_17, B18_18] :  ((~(~disjoint(A17_17, B18_18) & ! [C19_19] :  (~in(C19_19, set_intersection2(A17_17, B18_18)))) & ~(? [C20_20] :  (in(C20_20, set_intersection2(A17_17, B18_18))) & disjoint(A17_17, B18_18))))
% 54.78/8.19  
% 54.78/8.19  [1] DELTA_EXISTS : ? [A13_13] :  (empty(A13_13))
% 54.78/8.19  	-> [2] empty(skolem_A1313)
% 54.78/8.19  
% 54.78/8.19  [2] DELTA_EXISTS : ? [A14_14] :  (~empty(A14_14))
% 54.78/8.19  	-> [3] ~empty(skolem_A1414)
% 54.78/8.19  
% 54.78/8.19  [3] DELTA_NOT_FORALL : ~! [A17_17, B18_18] :  ((~(~disjoint(A17_17, B18_18) & ! [C19_19] :  (~in(C19_19, set_intersection2(A17_17, B18_18)))) & ~(? [C20_20] :  (in(C20_20, set_intersection2(A17_17, B18_18))) & disjoint(A17_17, B18_18))))
% 54.78/8.19  	-> [4] ~(~(~disjoint(skolem_A1717, skolem_B1818) & ! [C19_19] :  (~in(C19_19, set_intersection2(skolem_A1717, skolem_B1818)))) & ~(? [C20_20] :  (in(C20_20, set_intersection2(skolem_A1717, skolem_B1818))) & disjoint(skolem_A1717, skolem_B1818)))
% 54.78/8.19  
% 54.78/8.19  [4] BETA_NOT_AND : ~(~(~disjoint(skolem_A1717, skolem_B1818) & ! [C19_19] :  (~in(C19_19, set_intersection2(skolem_A1717, skolem_B1818)))) & ~(? [C20_20] :  (in(C20_20, set_intersection2(skolem_A1717, skolem_B1818))) & disjoint(skolem_A1717, skolem_B1818)))
% 54.78/8.19  	-> [5] ~~(~disjoint(skolem_A1717, skolem_B1818) & ! [C19_19] :  (~in(C19_19, set_intersection2(skolem_A1717, skolem_B1818))))
% 54.78/8.19  	-> [6] ~~(? [C20_20] :  (in(C20_20, set_intersection2(skolem_A1717, skolem_B1818))) & disjoint(skolem_A1717, skolem_B1818))
% 54.78/8.19  
% 54.78/8.19  [6] ALPHA_NOT_NOT : ~~(? [C20_20] :  (in(C20_20, set_intersection2(skolem_A1717, skolem_B1818))) & disjoint(skolem_A1717, skolem_B1818))
% 54.78/8.19  	-> [7] (? [C20_20] :  (in(C20_20, set_intersection2(skolem_A1717, skolem_B1818))) & disjoint(skolem_A1717, skolem_B1818))
% 54.78/8.19  
% 54.78/8.19  [7] ALPHA_AND : (? [C20_20] :  (in(C20_20, set_intersection2(skolem_A1717, skolem_B1818))) & disjoint(skolem_A1717, skolem_B1818))
% 54.78/8.19  	-> [9] ? [C20_20] :  (in(C20_20, set_intersection2(skolem_A1717, skolem_B1818))), disjoint(skolem_A1717, skolem_B1818)
% 54.78/8.19  
% 54.78/8.19  [9] DELTA_EXISTS : ? [C20_20] :  (in(C20_20, set_intersection2(skolem_A1717, skolem_B1818)))
% 54.78/8.19  	-> [11] in(skolem_C2020, set_intersection2(skolem_A1717, skolem_B1818))
% 54.78/8.19  
% 54.78/8.19  [11] GAMMA_FORALL : ! [A3_3, B4_4] :  ((in(A3_3, B4_4) => ~in(B4_4, A3_3)))
% 54.78/8.19  	-> [15] (in(skolem_C2020, set_intersection2(skolem_A1717, skolem_B1818)) => ~in(set_intersection2(skolem_A1717, skolem_B1818), skolem_C2020))
% 54.78/8.19  
% 54.78/8.19  [15] BETA_IMPLY : (in(skolem_C2020, set_intersection2(skolem_A1717, skolem_B1818)) => ~in(set_intersection2(skolem_A1717, skolem_B1818), skolem_C2020))
% 54.78/8.19  	-> [16] ~in(skolem_C2020, set_intersection2(skolem_A1717, skolem_B1818))
% 54.78/8.19  	-> [17] ~in(set_intersection2(skolem_A1717, skolem_B1818), skolem_C2020)
% 54.78/8.19  
% 54.78/8.19  [16] CLOSURE : ~in(skolem_C2020, set_intersection2(skolem_A1717, skolem_B1818))
% 54.78/8.19  
% 54.78/8.19  [17] GAMMA_FORALL : ! [A5_5, B6_6] :  (=(set_intersection2(A5_5, B6_6), set_intersection2(B6_6, A5_5)))
% 54.78/8.19  	-> [20] =(set_intersection2(A5_2_1, B6_2_1), set_intersection2(B6_2_1, A5_2_1))
% 54.78/8.19  
% 54.78/8.19  [20] GAMMA_FORALL : ! [A7_7] :  ((=(A7_7, empty_set) <=> ! [B8_8] :  (~in(B8_8, A7_7))))
% 54.78/8.19  	-> [31] (=(empty_set, empty_set) <=> ! [B8_8] :  (~in(B8_8, empty_set)))
% 54.78/8.19  
% 54.78/8.19  [31] BETA_EQUIV : (=(empty_set, empty_set) <=> ! [B8_8] :  (~in(B8_8, empty_set)))
% 54.78/8.19  	-> [32] ~=(empty_set, empty_set), ~! [B8_8] :  (~in(B8_8, empty_set))
% 54.78/8.19  	-> [33] =(empty_set, empty_set), ! [B8_8] :  (~in(B8_8, empty_set))
% 54.78/8.19  
% 54.78/8.19  [32] DELTA_NOT_FORALL : ~! [B8_8] :  (~in(B8_8, empty_set))
% 54.78/8.19  	-> [34] ~~in(skolem_B88(empty_set), empty_set)
% 54.78/8.19  
% 54.78/8.19  [34] ALPHA_NOT_NOT : ~~in(skolem_B88(empty_set), empty_set)
% 54.78/8.19  	-> [35] in(skolem_B88(empty_set), empty_set)
% 54.78/8.19  
% 54.78/8.19  [35] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  [33] GAMMA_FORALL : ! [A9_9, B10_10] :  ((disjoint(A9_9, B10_10) <=> =(set_intersection2(A9_9, B10_10), empty_set)))
% 54.78/8.19  	-> [40] (disjoint(skolem_A1717, skolem_B1818) <=> =(set_intersection2(skolem_A1717, skolem_B1818), empty_set))
% 54.78/8.19  
% 54.78/8.19  [40] BETA_EQUIV : (disjoint(skolem_A1717, skolem_B1818) <=> =(set_intersection2(skolem_A1717, skolem_B1818), empty_set))
% 54.78/8.19  	-> [41] ~disjoint(skolem_A1717, skolem_B1818), ~=(set_intersection2(skolem_A1717, skolem_B1818), empty_set)
% 54.78/8.19  	-> [42] disjoint(skolem_A1717, skolem_B1818), =(set_intersection2(skolem_A1717, skolem_B1818), empty_set)
% 54.78/8.19  
% 54.78/8.19  [41] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  [46] GAMMA_FORALL : ! [A15_15, B16_16] :  ((disjoint(A15_15, B16_16) => disjoint(B16_16, A15_15)))
% 54.78/8.19  	-> [57] (disjoint(skolem_A1717, skolem_B1818) => disjoint(skolem_B1818, skolem_A1717))
% 54.78/8.19  
% 54.78/8.19  [57] BETA_IMPLY : (disjoint(skolem_A1717, skolem_B1818) => disjoint(skolem_B1818, skolem_A1717))
% 54.78/8.19  	-> [58] ~disjoint(skolem_A1717, skolem_B1818)
% 54.78/8.19  	-> [59] disjoint(skolem_B1818, skolem_A1717)
% 54.78/8.19  
% 54.78/8.19  [58] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  [59] GAMMA_FORALL : ! [B8_8] :  (~in(B8_8, empty_set))
% 54.78/8.19  	-> [68] ~in(B8_1_6, empty_set)
% 54.78/8.19  
% 54.78/8.19  [68] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  [5] ALPHA_NOT_NOT : ~~(~disjoint(skolem_A1717, skolem_B1818) & ! [C19_19] :  (~in(C19_19, set_intersection2(skolem_A1717, skolem_B1818))))
% 54.78/8.19  	-> [8] (~disjoint(skolem_A1717, skolem_B1818) & ! [C19_19] :  (~in(C19_19, set_intersection2(skolem_A1717, skolem_B1818))))
% 54.78/8.19  
% 54.78/8.19  [8] ALPHA_AND : (~disjoint(skolem_A1717, skolem_B1818) & ! [C19_19] :  (~in(C19_19, set_intersection2(skolem_A1717, skolem_B1818))))
% 54.78/8.19  	-> [10] ~disjoint(skolem_A1717, skolem_B1818), ! [C19_19] :  (~in(C19_19, set_intersection2(skolem_A1717, skolem_B1818)))
% 54.78/8.19  
% 54.78/8.19  [10] GAMMA_FORALL : ! [A3_3, B4_4] :  ((in(A3_3, B4_4) => ~in(B4_4, A3_3)))
% 54.78/8.19  	-> [12] (in(skolem_A1414, skolem_B88(skolem_A1414)) => ~in(skolem_B88(skolem_A1414), skolem_A1414))
% 54.78/8.19  
% 54.78/8.19  [12] BETA_IMPLY : (in(skolem_A1414, skolem_B88(skolem_A1414)) => ~in(skolem_B88(skolem_A1414), skolem_A1414))
% 54.78/8.19  	-> [13] ~in(skolem_A1414, skolem_B88(skolem_A1414))
% 54.78/8.19  	-> [14] ~in(skolem_B88(skolem_A1414), skolem_A1414)
% 54.78/8.19  
% 54.78/8.19  [14] GAMMA_FORALL : ! [A5_5, B6_6] :  (=(set_intersection2(A5_5, B6_6), set_intersection2(B6_6, A5_5)))
% 54.78/8.19  	-> [19] =(set_intersection2(A5_1_1, B6_1_1), set_intersection2(B6_1_1, A5_1_1))
% 54.78/8.19  
% 54.78/8.19  [19] GAMMA_FORALL : ! [A7_7] :  ((=(A7_7, empty_set) <=> ! [B8_8] :  (~in(B8_8, A7_7))))
% 54.78/8.19  	-> [21] (=(skolem_A1414, empty_set) <=> ! [B8_8] :  (~in(B8_8, skolem_A1414)))
% 54.78/8.19  
% 54.78/8.19  [21] BETA_EQUIV : (=(skolem_A1414, empty_set) <=> ! [B8_8] :  (~in(B8_8, skolem_A1414)))
% 54.78/8.19  	-> [23] ~=(skolem_A1414, empty_set), ~! [B8_8] :  (~in(B8_8, skolem_A1414))
% 54.78/8.19  	-> [24] =(skolem_A1414, empty_set), ! [B8_8] :  (~in(B8_8, skolem_A1414))
% 54.78/8.19  
% 54.78/8.19  [24] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  [30] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  [13] GAMMA_FORALL : ! [A5_5, B6_6] :  (=(set_intersection2(A5_5, B6_6), set_intersection2(B6_6, A5_5)))
% 54.78/8.19  	-> [18] =(set_intersection2(A5_0_1, B6_0_1), set_intersection2(B6_0_1, A5_0_1))
% 54.78/8.19  
% 54.78/8.19  [18] GAMMA_FORALL : ! [A7_7] :  ((=(A7_7, empty_set) <=> ! [B8_8] :  (~in(B8_8, A7_7))))
% 54.78/8.19  	-> [22] (=(empty_set, empty_set) <=> ! [B8_8] :  (~in(B8_8, empty_set)))
% 54.78/8.19  
% 54.78/8.19  [22] BETA_EQUIV : (=(empty_set, empty_set) <=> ! [B8_8] :  (~in(B8_8, empty_set)))
% 54.78/8.19  	-> [25] ~=(empty_set, empty_set), ~! [B8_8] :  (~in(B8_8, empty_set))
% 54.78/8.19  	-> [26] =(empty_set, empty_set), ! [B8_8] :  (~in(B8_8, empty_set))
% 54.78/8.19  
% 54.78/8.19  [25] DELTA_NOT_FORALL : ~! [B8_8] :  (~in(B8_8, empty_set))
% 54.78/8.19  	-> [27] ~~in(skolem_B88(empty_set), empty_set)
% 54.78/8.19  
% 54.78/8.19  [27] ALPHA_NOT_NOT : ~~in(skolem_B88(empty_set), empty_set)
% 54.78/8.19  	-> [29] in(skolem_B88(empty_set), empty_set)
% 54.78/8.19  
% 54.78/8.19  [29] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  [26] GAMMA_FORALL : ! [A9_9, B10_10] :  ((disjoint(A9_9, B10_10) <=> =(set_intersection2(A9_9, B10_10), empty_set)))
% 54.78/8.19  	-> [36] (disjoint(skolem_A1717, skolem_B1818) <=> =(set_intersection2(skolem_A1717, skolem_B1818), empty_set))
% 54.78/8.19  
% 54.78/8.19  [36] BETA_EQUIV : (disjoint(skolem_A1717, skolem_B1818) <=> =(set_intersection2(skolem_A1717, skolem_B1818), empty_set))
% 54.78/8.19  	-> [37] ~disjoint(skolem_A1717, skolem_B1818), ~=(set_intersection2(skolem_A1717, skolem_B1818), empty_set)
% 54.78/8.19  	-> [38] disjoint(skolem_A1717, skolem_B1818), =(set_intersection2(skolem_A1717, skolem_B1818), empty_set)
% 54.78/8.19  
% 54.78/8.19  [38] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  [39] GAMMA_FORALL : ! [A15_15, B16_16] :  ((disjoint(A15_15, B16_16) => disjoint(B16_16, A15_15)))
% 54.78/8.19  	-> [43] (disjoint(skolem_B1818, skolem_A1717) => disjoint(skolem_A1717, skolem_B1818))
% 54.78/8.19  
% 54.78/8.19  [43] BETA_IMPLY : (disjoint(skolem_B1818, skolem_A1717) => disjoint(skolem_A1717, skolem_B1818))
% 54.78/8.19  	-> [44] ~disjoint(skolem_B1818, skolem_A1717)
% 54.78/8.19  	-> [45] disjoint(skolem_A1717, skolem_B1818)
% 54.78/8.19  
% 54.78/8.19  [45] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  [44] GAMMA_FORALL : ! [C19_19] :  (~in(C19_19, set_intersection2(skolem_A1717, skolem_B1818)))
% 54.78/8.19  	-> [47] ~in(skolem_B88(set_intersection2(skolem_A1717, skolem_B1818)), set_intersection2(skolem_A1717, skolem_B1818))
% 54.78/8.19  
% 54.78/8.19  [47] GAMMA_FORALL : ! [B8_8] :  (~in(B8_8, empty_set))
% 54.78/8.19  	-> [48] ~in(B8_0_7, empty_set)
% 54.78/8.19  
% 54.78/8.19  [48] GAMMA_FORALL : ! [A3_3, B4_4] :  ((in(A3_3, B4_4) => ~in(B4_4, A3_3)))
% 54.78/8.19  	-> [49] ! [A3_3, B4_4] :  ((in(A3_3, B4_4) => ~in(B4_4, A3_3)))
% 54.78/8.19  
% 54.78/8.19  [49] GAMMA_FORALL : ! [A3_3, B4_4] :  ((in(A3_3, B4_4) => ~in(B4_4, A3_3)))
% 54.78/8.19  	-> [50] (in(skolem_B88(set_intersection2(skolem_A1717, skolem_B1818)), set_intersection2(skolem_A1717, skolem_B1818)) => ~in(set_intersection2(skolem_A1717, skolem_B1818), skolem_B88(set_intersection2(skolem_A1717, skolem_B1818))))
% 54.78/8.19  
% 54.78/8.19  [50] BETA_IMPLY : (in(skolem_B88(set_intersection2(skolem_A1717, skolem_B1818)), set_intersection2(skolem_A1717, skolem_B1818)) => ~in(set_intersection2(skolem_A1717, skolem_B1818), skolem_B88(set_intersection2(skolem_A1717, skolem_B1818))))
% 54.78/8.19  	-> [51] ~in(skolem_B88(set_intersection2(skolem_A1717, skolem_B1818)), set_intersection2(skolem_A1717, skolem_B1818))
% 54.78/8.19  	-> [52] ~in(set_intersection2(skolem_A1717, skolem_B1818), skolem_B88(set_intersection2(skolem_A1717, skolem_B1818)))
% 54.78/8.19  
% 54.78/8.19  [52]  : ! [A5_5, B6_6] :  (=(set_intersection2(A5_5, B6_6), set_intersection2(B6_6, A5_5)))
% 54.78/8.19  	-> [53] ! [A5_5, B6_6] :  (=(set_intersection2(A5_5, B6_6), set_intersection2(B6_6, A5_5)))
% 54.78/8.19  
% 54.78/8.19  [53] GAMMA_FORALL : ! [A5_5, B6_6] :  (=(set_intersection2(A5_5, B6_6), set_intersection2(B6_6, A5_5)))
% 54.78/8.19  	-> [54] =(set_intersection2(A5_3_1, B6_3_1), set_intersection2(B6_3_1, A5_3_1))
% 54.78/8.19  
% 54.78/8.19  [54] GAMMA_FORALL : ! [A7_7] :  ((=(A7_7, empty_set) <=> ! [B8_8] :  (~in(B8_8, A7_7))))
% 54.78/8.19  	-> [60] ! [A7_7] :  ((=(A7_7, empty_set) <=> ! [B8_8] :  (~in(B8_8, A7_7))))
% 54.78/8.19  
% 54.78/8.19  [60] GAMMA_FORALL : ! [A7_7] :  ((=(A7_7, empty_set) <=> ! [B8_8] :  (~in(B8_8, A7_7))))
% 54.78/8.19  	-> [61] (=(set_intersection2(skolem_A1717, skolem_B1818), empty_set) <=> ! [B8_8] :  (~in(B8_8, set_intersection2(skolem_A1717, skolem_B1818))))
% 54.78/8.19  
% 54.78/8.19  [61] BETA_EQUIV : (=(set_intersection2(skolem_A1717, skolem_B1818), empty_set) <=> ! [B8_8] :  (~in(B8_8, set_intersection2(skolem_A1717, skolem_B1818))))
% 54.78/8.19  	-> [62] ~=(set_intersection2(skolem_A1717, skolem_B1818), empty_set), ~! [B8_8] :  (~in(B8_8, set_intersection2(skolem_A1717, skolem_B1818)))
% 54.78/8.19  	-> [63] =(set_intersection2(skolem_A1717, skolem_B1818), empty_set), ! [B8_8] :  (~in(B8_8, set_intersection2(skolem_A1717, skolem_B1818)))
% 54.78/8.19  
% 54.78/8.19  [63] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  [72] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  [65] BETA_EQUIV : (=(set_intersection2(skolem_A1717, skolem_B1818), empty_set) <=> ! [B8_8] :  (~in(B8_8, set_intersection2(skolem_A1717, skolem_B1818))))
% 54.78/8.19  	-> [73] ~=(set_intersection2(skolem_A1717, skolem_B1818), empty_set), ~! [B8_8] :  (~in(B8_8, set_intersection2(skolem_A1717, skolem_B1818)))
% 54.78/8.19  	-> [74] =(set_intersection2(skolem_A1717, skolem_B1818), empty_set), ! [B8_8] :  (~in(B8_8, set_intersection2(skolem_A1717, skolem_B1818)))
% 54.78/8.19  
% 54.78/8.19  [73] DELTA_NOT_FORALL : ~! [B8_8] :  (~in(B8_8, set_intersection2(skolem_A1717, skolem_B1818)))
% 54.78/8.19  	-> [75] ~~in(skolem_B88(set_intersection2(skolem_A1717, skolem_B1818)), set_intersection2(skolem_A1717, skolem_B1818))
% 54.78/8.19  
% 54.78/8.19  [75] ALPHA_NOT_NOT : ~~in(skolem_B88(set_intersection2(skolem_A1717, skolem_B1818)), set_intersection2(skolem_A1717, skolem_B1818))
% 54.78/8.19  	-> [76] in(skolem_B88(set_intersection2(skolem_A1717, skolem_B1818)), set_intersection2(skolem_A1717, skolem_B1818))
% 54.78/8.19  
% 54.78/8.19  [76] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  [74] CLOSURE : =
% 54.78/8.19  
% 54.78/8.19  % SZS output end Proof for theBenchmark.p
% 54.78/8.19  [7.836053s][1][Res] 60669 goroutines created
% 54.78/8.19  ==== Result ====
% 54.78/8.19  [7.836090s][1][Res] VALID
% 54.78/8.19  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------