TSTP Solution File: SEU134+1 by Goeland---1.0.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : SEU134+1 : TPTP v8.1.0. Released v3.3.0.
% 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 05:55:28 EDT 2022

% Result   : Theorem 43.65s 6.58s
% Output   : Proof 43.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SEU134+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % 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 09:33:20 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  [0.000041s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34  Start search
% 0.12/0.34  nb_step : 1 - limit : 11
% 0.12/0.34  Launch Gotab with destructive = true
% 43.65/6.58  % SZS output start Proof for theBenchmark.p
% 43.65/6.58  [0] ALPHA_AND : (! [A2_2, B3_3] :  ((in(A2_2, B3_3) => ~in(B3_3, A2_2))) & ? [A4_4] :  (empty(A4_4)) & ? [A5_5] :  (~empty(A5_5)) & ! [A6_6, B7_7] :  (~(in(A6_6, B7_7) & empty(B7_7))) & ! [A8_8, B9_9] :  (~((empty(A8_8) & ~=(A8_8, B9_9)) & empty(B9_9))) & ! [A10_10, B11_11] :  (subset(A10_10, A10_10)) & $true & $true & empty(empty_set) & ! [A12_12] :  (=(set_difference(A12_12, empty_set), A12_12)) & ! [A13_13] :  (=(set_difference(empty_set, A13_13), empty_set)) & ! [A14_14] :  ((empty(A14_14) => =(A14_14, empty_set))) & ! [A17_17, B18_18] :  ((=(set_difference(A17_17, B18_18), empty_set) <=> subset(A17_17, B18_18))) & ~! [A15_15, B16_16] :  ((=(set_difference(A15_15, B16_16), empty_set) <=> subset(A15_15, B16_16))))
% 43.65/6.58  	-> [1] ! [A2_2, B3_3] :  ((in(A2_2, B3_3) => ~in(B3_3, A2_2))), ? [A4_4] :  (empty(A4_4)), ? [A5_5] :  (~empty(A5_5)), ! [A6_6, B7_7] :  (~(in(A6_6, B7_7) & empty(B7_7))), ! [A8_8, B9_9] :  (~((empty(A8_8) & ~=(A8_8, B9_9)) & empty(B9_9))), ! [A10_10, B11_11] :  (subset(A10_10, A10_10)), $true, empty(empty_set), ! [A12_12] :  (=(set_difference(A12_12, empty_set), A12_12)), ! [A13_13] :  (=(set_difference(empty_set, A13_13), empty_set)), ! [A14_14] :  ((empty(A14_14) => =(A14_14, empty_set))), ! [A17_17, B18_18] :  ((=(set_difference(A17_17, B18_18), empty_set) <=> subset(A17_17, B18_18))), ~! [A15_15, B16_16] :  ((=(set_difference(A15_15, B16_16), empty_set) <=> subset(A15_15, B16_16)))
% 43.65/6.58  
% 43.65/6.58  [1] DELTA_EXISTS : ? [A4_4] :  (empty(A4_4))
% 43.65/6.58  	-> [2] empty(skolem_A44)
% 43.65/6.58  
% 43.65/6.58  [2] DELTA_EXISTS : ? [A5_5] :  (~empty(A5_5))
% 43.65/6.58  	-> [3] ~empty(skolem_A55)
% 43.65/6.58  
% 43.65/6.58  [3] DELTA_NOT_FORALL : ~! [A15_15, B16_16] :  ((=(set_difference(A15_15, B16_16), empty_set) <=> subset(A15_15, B16_16)))
% 43.65/6.58  	-> [4] ~(=(set_difference(skolem_A1515, skolem_B1616), empty_set) <=> subset(skolem_A1515, skolem_B1616))
% 43.65/6.58  
% 43.65/6.58  [4] BETA_NOT_EQUIV : ~(=(set_difference(skolem_A1515, skolem_B1616), empty_set) <=> subset(skolem_A1515, skolem_B1616))
% 43.65/6.58  	-> [5] ~=(set_difference(skolem_A1515, skolem_B1616), empty_set), subset(skolem_A1515, skolem_B1616)
% 43.65/6.58  	-> [6] =(set_difference(skolem_A1515, skolem_B1616), empty_set), ~subset(skolem_A1515, skolem_B1616)
% 43.65/6.58  
% 43.65/6.58  [5] GAMMA_FORALL : ! [A2_2, B3_3] :  ((in(A2_2, B3_3) => ~in(B3_3, A2_2)))
% 43.65/6.58  	-> [7] (in(A2_0_0, B3_0_0) => ~in(B3_0_0, A2_0_0))
% 43.65/6.58  
% 43.65/6.58  [7] BETA_IMPLY : (in(A2_0_0, B3_0_0) => ~in(B3_0_0, A2_0_0))
% 43.65/6.58  	-> [8] ~in(A2_0_0, B3_0_0)
% 43.65/6.58  	-> [9] ~in(B3_0_0, A2_0_0)
% 43.65/6.58  
% 43.65/6.58  [8] GAMMA_FORALL : ! [A6_6, B7_7] :  (~(in(A6_6, B7_7) & empty(B7_7)))
% 43.65/6.58  	-> [10] ~(in(A6_0_1, empty_set) & empty(empty_set))
% 43.65/6.58  
% 43.65/6.58  [10] BETA_NOT_AND : ~(in(A6_0_1, empty_set) & empty(empty_set))
% 43.65/6.58  	-> [11] ~in(A6_0_1, empty_set)
% 43.65/6.58  	-> [12] ~empty(empty_set)
% 43.65/6.58  
% 43.65/6.58  [12] CLOSURE : ~empty(empty_set)
% 43.65/6.58  
% 43.65/6.58  [11] GAMMA_FORALL : ! [A8_8, B9_9] :  (~((empty(A8_8) & ~=(A8_8, B9_9)) & empty(B9_9)))
% 43.65/6.58  	-> [16] ~((empty(skolem_A55) & ~=(skolem_A55, empty_set)) & empty(empty_set))
% 43.65/6.58  
% 43.65/6.58  [16] BETA_NOT_AND : ~((empty(skolem_A55) & ~=(skolem_A55, empty_set)) & empty(empty_set))
% 43.65/6.58  	-> [17] ~(empty(skolem_A55) & ~=(skolem_A55, empty_set))
% 43.65/6.58  	-> [18] ~empty(empty_set)
% 43.65/6.58  
% 43.65/6.58  [18] CLOSURE : ~empty(empty_set)
% 43.65/6.58  
% 43.65/6.58  [17] BETA_NOT_AND : ~(empty(skolem_A55) & ~=(skolem_A55, empty_set))
% 43.65/6.58  	-> [33] ~empty(skolem_A55)
% 43.65/6.58  	-> [34] ~~=(skolem_A55, empty_set)
% 43.65/6.58  
% 43.65/6.58  [34] ALPHA_NOT_NOT : ~~=(skolem_A55, empty_set)
% 43.65/6.58  	-> [35] =(skolem_A55, empty_set)
% 43.65/6.58  
% 43.65/6.58  [35] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [33] GAMMA_FORALL : ! [A10_10, B11_11] :  (subset(A10_10, A10_10))
% 43.65/6.58  	-> [42] subset(A10_1_3, A10_1_3)
% 43.65/6.58  
% 43.65/6.58  [42] GAMMA_FORALL : ! [A12_12] :  (=(set_difference(A12_12, empty_set), A12_12))
% 43.65/6.58  	-> [54] =(set_difference(A12_1_4, empty_set), A12_1_4)
% 43.65/6.58  
% 43.65/6.58  [54] GAMMA_FORALL : ! [A13_13] :  (=(set_difference(empty_set, A13_13), empty_set))
% 43.65/6.58  	-> [58] =(set_difference(empty_set, A13_1_5), empty_set)
% 43.65/6.58  
% 43.65/6.58  [58] GAMMA_FORALL : ! [A14_14] :  ((empty(A14_14) => =(A14_14, empty_set)))
% 43.65/6.58  	-> [67] (empty(set_difference(skolem_A1515, skolem_B1616)) => =(set_difference(skolem_A1515, skolem_B1616), empty_set))
% 43.65/6.58  
% 43.65/6.58  [67] BETA_IMPLY : (empty(set_difference(skolem_A1515, skolem_B1616)) => =(set_difference(skolem_A1515, skolem_B1616), empty_set))
% 43.65/6.58  	-> [68] ~empty(set_difference(skolem_A1515, skolem_B1616))
% 43.65/6.58  	-> [69] =(set_difference(skolem_A1515, skolem_B1616), empty_set)
% 43.65/6.58  
% 43.65/6.58  [69] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [68] GAMMA_FORALL : ! [A17_17, B18_18] :  ((=(set_difference(A17_17, B18_18), empty_set) <=> subset(A17_17, B18_18)))
% 43.65/6.58  	-> [79] (=(set_difference(skolem_A1515, skolem_B1616), empty_set) <=> subset(skolem_A1515, skolem_B1616))
% 43.65/6.58  
% 43.65/6.58  [79] BETA_EQUIV : (=(set_difference(skolem_A1515, skolem_B1616), empty_set) <=> subset(skolem_A1515, skolem_B1616))
% 43.65/6.58  	-> [80] ~=(set_difference(skolem_A1515, skolem_B1616), empty_set), ~subset(skolem_A1515, skolem_B1616)
% 43.65/6.58  	-> [81] =(set_difference(skolem_A1515, skolem_B1616), empty_set), subset(skolem_A1515, skolem_B1616)
% 43.65/6.58  
% 43.65/6.58  [80] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [81] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [9] GAMMA_FORALL : ! [A6_6, B7_7] :  (~(in(A6_6, B7_7) & empty(B7_7)))
% 43.65/6.58  	-> [13] ~(in(A6_1_1, empty_set) & empty(empty_set))
% 43.65/6.58  
% 43.65/6.58  [13] BETA_NOT_AND : ~(in(A6_1_1, empty_set) & empty(empty_set))
% 43.65/6.58  	-> [14] ~in(A6_1_1, empty_set)
% 43.65/6.58  	-> [15] ~empty(empty_set)
% 43.65/6.58  
% 43.65/6.58  [15] CLOSURE : ~empty(empty_set)
% 43.65/6.58  
% 43.65/6.58  [14] GAMMA_FORALL : ! [A8_8, B9_9] :  (~((empty(A8_8) & ~=(A8_8, B9_9)) & empty(B9_9)))
% 43.65/6.58  	-> [21] ~((empty(empty_set) & ~=(empty_set, empty_set)) & empty(empty_set))
% 43.65/6.58  
% 43.65/6.58  [21] BETA_NOT_AND : ~((empty(empty_set) & ~=(empty_set, empty_set)) & empty(empty_set))
% 43.65/6.58  	-> [22] ~(empty(empty_set) & ~=(empty_set, empty_set))
% 43.65/6.58  	-> [23] ~empty(empty_set)
% 43.65/6.58  
% 43.65/6.58  [23] CLOSURE : ~empty(empty_set)
% 43.65/6.58  
% 43.65/6.58  [22] BETA_NOT_AND : ~(empty(empty_set) & ~=(empty_set, empty_set))
% 43.65/6.58  	-> [82] ~empty(empty_set)
% 43.65/6.58  	-> [83] ~~=(empty_set, empty_set)
% 43.65/6.58  
% 43.65/6.58  [82] CLOSURE : ~empty(empty_set)
% 43.65/6.58  
% 43.65/6.58  [84] GAMMA_FORALL : ! [A10_10, B11_11] :  (subset(A10_10, A10_10))
% 43.65/6.58  	-> [88] subset(A10_4_3, A10_4_3)
% 43.65/6.58  
% 43.65/6.58  [88] GAMMA_FORALL : ! [A12_12] :  (=(set_difference(A12_12, empty_set), A12_12))
% 43.65/6.58  	-> [89] =(set_difference(A12_4_4, empty_set), A12_4_4)
% 43.65/6.58  
% 43.65/6.58  [89] GAMMA_FORALL : ! [A13_13] :  (=(set_difference(empty_set, A13_13), empty_set))
% 43.65/6.58  	-> [90] =(set_difference(empty_set, A13_4_5), empty_set)
% 43.65/6.58  
% 43.65/6.58  [90] GAMMA_FORALL : ! [A14_14] :  ((empty(A14_14) => =(A14_14, empty_set)))
% 43.65/6.58  	-> [91] (empty(skolem_A44) => =(skolem_A44, empty_set))
% 43.65/6.58  
% 43.65/6.58  [91] BETA_IMPLY : (empty(skolem_A44) => =(skolem_A44, empty_set))
% 43.65/6.58  	-> [92] ~empty(skolem_A44)
% 43.65/6.58  	-> [93] =(skolem_A44, empty_set)
% 43.65/6.58  
% 43.65/6.58  [92] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [93] GAMMA_FORALL : ! [A17_17, B18_18] :  ((=(set_difference(A17_17, B18_18), empty_set) <=> subset(A17_17, B18_18)))
% 43.65/6.58  	-> [97] (=(set_difference(skolem_A1515, skolem_B1616), empty_set) <=> subset(skolem_A1515, skolem_B1616))
% 43.65/6.58  
% 43.65/6.58  [97] BETA_EQUIV : (=(set_difference(skolem_A1515, skolem_B1616), empty_set) <=> subset(skolem_A1515, skolem_B1616))
% 43.65/6.58  	-> [98] ~=(set_difference(skolem_A1515, skolem_B1616), empty_set), ~subset(skolem_A1515, skolem_B1616)
% 43.65/6.58  	-> [99] =(set_difference(skolem_A1515, skolem_B1616), empty_set), subset(skolem_A1515, skolem_B1616)
% 43.65/6.58  
% 43.65/6.58  [99] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [98] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [6] GAMMA_FORALL : ! [A2_2, B3_3] :  ((in(A2_2, B3_3) => ~in(B3_3, A2_2)))
% 43.65/6.58  	-> [28] (in(A2_1_0, B3_1_0) => ~in(B3_1_0, A2_1_0))
% 43.65/6.58  
% 43.65/6.58  [28] BETA_IMPLY : (in(A2_1_0, B3_1_0) => ~in(B3_1_0, A2_1_0))
% 43.65/6.58  	-> [29] ~in(A2_1_0, B3_1_0)
% 43.65/6.58  	-> [30] ~in(B3_1_0, A2_1_0)
% 43.65/6.58  
% 43.65/6.58  [30] GAMMA_FORALL : ! [A6_6, B7_7] :  (~(in(A6_6, B7_7) & empty(B7_7)))
% 43.65/6.58  	-> [39] ~(in(A6_3_1, empty_set) & empty(empty_set))
% 43.65/6.58  
% 43.65/6.58  [39] BETA_NOT_AND : ~(in(A6_3_1, empty_set) & empty(empty_set))
% 43.65/6.58  	-> [40] ~in(A6_3_1, empty_set)
% 43.65/6.58  	-> [41] ~empty(empty_set)
% 43.65/6.58  
% 43.65/6.58  [41] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [40] GAMMA_FORALL : ! [A8_8, B9_9] :  (~((empty(A8_8) & ~=(A8_8, B9_9)) & empty(B9_9)))
% 43.65/6.58  	-> [46] ~((empty(empty_set) & ~=(empty_set, empty_set)) & empty(empty_set))
% 43.65/6.58  
% 43.65/6.58  [46] BETA_NOT_AND : ~((empty(empty_set) & ~=(empty_set, empty_set)) & empty(empty_set))
% 43.65/6.58  	-> [49] ~(empty(empty_set) & ~=(empty_set, empty_set))
% 43.65/6.58  	-> [50] ~empty(empty_set)
% 43.65/6.58  
% 43.65/6.58  [50] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [49] BETA_NOT_AND : ~(empty(empty_set) & ~=(empty_set, empty_set))
% 43.65/6.58  	-> [59] ~empty(empty_set)
% 43.65/6.58  	-> [60] ~~=(empty_set, empty_set)
% 43.65/6.58  
% 43.65/6.58  [59] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [61] GAMMA_FORALL : ! [A10_10, B11_11] :  (subset(A10_10, A10_10))
% 43.65/6.58  	-> [66] subset(A10_3_3, A10_3_3)
% 43.65/6.58  
% 43.65/6.58  [66] GAMMA_FORALL : ! [A12_12] :  (=(set_difference(A12_12, empty_set), A12_12))
% 43.65/6.58  	-> [71] =(set_difference(A12_3_4, empty_set), A12_3_4)
% 43.65/6.58  
% 43.65/6.58  [71] GAMMA_FORALL : ! [A13_13] :  (=(set_difference(empty_set, A13_13), empty_set))
% 43.65/6.58  	-> [72] =(set_difference(empty_set, A13_3_5), empty_set)
% 43.65/6.58  
% 43.65/6.58  [72] GAMMA_FORALL : ! [A14_14] :  ((empty(A14_14) => =(A14_14, empty_set)))
% 43.65/6.58  	-> [85] (empty(skolem_A44) => =(skolem_A44, empty_set))
% 43.65/6.58  
% 43.65/6.58  [85] BETA_IMPLY : (empty(skolem_A44) => =(skolem_A44, empty_set))
% 43.65/6.58  	-> [86] ~empty(skolem_A44)
% 43.65/6.58  	-> [87] =(skolem_A44, empty_set)
% 43.65/6.58  
% 43.65/6.58  [86] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [87] GAMMA_FORALL : ! [A17_17, B18_18] :  ((=(set_difference(A17_17, B18_18), empty_set) <=> subset(A17_17, B18_18)))
% 43.65/6.58  	-> [100] (=(set_difference(skolem_A1515, skolem_B1616), empty_set) <=> subset(skolem_A1515, skolem_B1616))
% 43.65/6.58  
% 43.65/6.58  [100] BETA_EQUIV : (=(set_difference(skolem_A1515, skolem_B1616), empty_set) <=> subset(skolem_A1515, skolem_B1616))
% 43.65/6.58  	-> [101] ~=(set_difference(skolem_A1515, skolem_B1616), empty_set), ~subset(skolem_A1515, skolem_B1616)
% 43.65/6.58  	-> [102] =(set_difference(skolem_A1515, skolem_B1616), empty_set), subset(skolem_A1515, skolem_B1616)
% 43.65/6.58  
% 43.65/6.58  [101] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [102] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [29] GAMMA_FORALL : ! [A6_6, B7_7] :  (~(in(A6_6, B7_7) & empty(B7_7)))
% 43.65/6.58  	-> [36] ~(in(A6_2_1, skolem_A44) & empty(skolem_A44))
% 43.65/6.58  
% 43.65/6.58  [36] BETA_NOT_AND : ~(in(A6_2_1, skolem_A44) & empty(skolem_A44))
% 43.65/6.58  	-> [37] ~in(A6_2_1, skolem_A44)
% 43.65/6.58  	-> [38] ~empty(skolem_A44)
% 43.65/6.58  
% 43.65/6.58  [38] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [37] GAMMA_FORALL : ! [A8_8, B9_9] :  (~((empty(A8_8) & ~=(A8_8, B9_9)) & empty(B9_9)))
% 43.65/6.58  	-> [43] ~((empty(skolem_A55) & ~=(skolem_A55, empty_set)) & empty(empty_set))
% 43.65/6.58  
% 43.65/6.58  [43] BETA_NOT_AND : ~((empty(skolem_A55) & ~=(skolem_A55, empty_set)) & empty(empty_set))
% 43.65/6.58  	-> [44] ~(empty(skolem_A55) & ~=(skolem_A55, empty_set))
% 43.65/6.58  	-> [45] ~empty(empty_set)
% 43.65/6.58  
% 43.65/6.58  [45] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [44] BETA_NOT_AND : ~(empty(skolem_A55) & ~=(skolem_A55, empty_set))
% 43.65/6.58  	-> [103] ~empty(skolem_A55)
% 43.65/6.58  	-> [104] ~~=(skolem_A55, empty_set)
% 43.65/6.58  
% 43.65/6.58  [104] ALPHA_NOT_NOT : ~~=(skolem_A55, empty_set)
% 43.65/6.58  	-> [105] =(skolem_A55, empty_set)
% 43.65/6.58  
% 43.65/6.58  [105] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [103] GAMMA_FORALL : ! [A10_10, B11_11] :  (subset(A10_10, A10_10))
% 43.65/6.58  	-> [106] subset(A10_5_3, A10_5_3)
% 43.65/6.58  
% 43.65/6.58  [106] GAMMA_FORALL : ! [A12_12] :  (=(set_difference(A12_12, empty_set), A12_12))
% 43.65/6.58  	-> [107] =(set_difference(A12_5_4, empty_set), A12_5_4)
% 43.65/6.58  
% 43.65/6.58  [107] GAMMA_FORALL : ! [A13_13] :  (=(set_difference(empty_set, A13_13), empty_set))
% 43.65/6.58  	-> [108] =(set_difference(empty_set, A13_5_5), empty_set)
% 43.65/6.58  
% 43.65/6.58  [108] GAMMA_FORALL : ! [A14_14] :  ((empty(A14_14) => =(A14_14, empty_set)))
% 43.65/6.58  	-> [109] (empty(skolem_A44) => =(skolem_A44, empty_set))
% 43.65/6.58  
% 43.65/6.58  [109] BETA_IMPLY : (empty(skolem_A44) => =(skolem_A44, empty_set))
% 43.65/6.58  	-> [110] ~empty(skolem_A44)
% 43.65/6.58  	-> [111] =(skolem_A44, empty_set)
% 43.65/6.58  
% 43.65/6.58  [110] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [111] GAMMA_FORALL : ! [A17_17, B18_18] :  ((=(set_difference(A17_17, B18_18), empty_set) <=> subset(A17_17, B18_18)))
% 43.65/6.58  	-> [112] (=(set_difference(skolem_A1515, skolem_B1616), empty_set) <=> subset(skolem_A1515, skolem_B1616))
% 43.65/6.58  
% 43.65/6.58  [112] BETA_EQUIV : (=(set_difference(skolem_A1515, skolem_B1616), empty_set) <=> subset(skolem_A1515, skolem_B1616))
% 43.65/6.58  	-> [113] ~=(set_difference(skolem_A1515, skolem_B1616), empty_set), ~subset(skolem_A1515, skolem_B1616)
% 43.65/6.58  	-> [114] =(set_difference(skolem_A1515, skolem_B1616), empty_set), subset(skolem_A1515, skolem_B1616)
% 43.65/6.58  
% 43.65/6.58  [113] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  [114] CLOSURE : =
% 43.65/6.58  
% 43.65/6.58  % SZS output end Proof for theBenchmark.p
% 43.65/6.58  [6.240261s][1][Res] 54808 goroutines created
% 43.65/6.58  ==== Result ====
% 43.65/6.58  [6.240279s][1][Res] VALID
% 43.65/6.58  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------