TSTP Solution File: SET693+4 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET693+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n020.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 04:17:10 EDT 2022
% Result : Theorem 1.78s 0.70s
% Output : Proof 1.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET693+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 07:24:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Conjecture not found
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 15
% 0.13/0.35 Launch Gotab with destructive = true
% 1.78/0.70 % SZS output start Proof for theBenchmark.p
% 1.78/0.70 [0] ALPHA_AND : ((! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11))) & ! [X18_18] : (~member(X18_18, empty_set)) & ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))) & ~! [A33_33, B34_34] : ((equal_set(A33_33, union(A33_33, B34_34)) <=> subset(B34_34, A33_33))))
% 1.78/0.70 -> [1] (! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11))) & ! [X18_18] : (~member(X18_18, empty_set)) & ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))), ~! [A33_33, B34_34] : ((equal_set(A33_33, union(A33_33, B34_34)) <=> subset(B34_34, A33_33)))
% 1.78/0.70
% 1.78/0.70 [1] ALPHA_AND : (! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11))) & ! [X18_18] : (~member(X18_18, empty_set)) & ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23))))
% 1.78/0.70 -> [2] ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11))), ! [X18_18] : (~member(X18_18, empty_set)), ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 1.78/0.70
% 1.78/0.70 [2] DELTA_NOT_FORALL : ~! [A33_33, B34_34] : ((equal_set(A33_33, union(A33_33, B34_34)) <=> subset(B34_34, A33_33)))
% 1.78/0.70 -> [3] ~(equal_set(skolem_A3333, union(skolem_A3333, skolem_B3434)) <=> subset(skolem_B3434, skolem_A3333))
% 1.78/0.70
% 1.78/0.70 [3] BETA_NOT_EQUIV : ~(equal_set(skolem_A3333, union(skolem_A3333, skolem_B3434)) <=> subset(skolem_B3434, skolem_A3333))
% 1.78/0.70 -> [4] ~equal_set(skolem_A3333, union(skolem_A3333, skolem_B3434)), subset(skolem_B3434, skolem_A3333)
% 1.78/0.70 -> [5] equal_set(skolem_A3333, union(skolem_A3333, skolem_B3434)), ~subset(skolem_B3434, skolem_A3333)
% 1.78/0.70
% 1.78/0.70 [4] Rewrite : ~equal_set(skolem_A3333, union(skolem_A3333, skolem_B3434))
% 1.78/0.70 -> [7] ~(subset(skolem_A3333, union(skolem_A3333, skolem_B3434)) & subset(union(skolem_A3333, skolem_B3434), skolem_A3333))
% 1.78/0.70
% 1.78/0.70 [7] Rewrite : subset(skolem_B3434, skolem_A3333)
% 1.78/0.70 -> [9] ! [X7_7] : ((member(X7_7, skolem_B3434) => member(X7_7, skolem_A3333)))
% 1.78/0.70
% 1.78/0.70 [9] BETA_NOT_AND : ~(subset(skolem_A3333, union(skolem_A3333, skolem_B3434)) & subset(union(skolem_A3333, skolem_B3434), skolem_A3333))
% 1.78/0.70 -> [11] ~subset(skolem_A3333, union(skolem_A3333, skolem_B3434))
% 1.78/0.70 -> [12] ~subset(union(skolem_A3333, skolem_B3434), skolem_A3333)
% 1.78/0.70
% 1.78/0.70 [11] Rewrite : ~subset(skolem_A3333, union(skolem_A3333, skolem_B3434))
% 1.78/0.70 -> [13] ~(member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), skolem_A3333) => member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)))
% 1.78/0.70
% 1.78/0.70 [13] ALPHA_NOT_IMPLY : ~(member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), skolem_A3333) => member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)))
% 1.78/0.70 -> [16] member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), skolem_A3333), ~member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))
% 1.78/0.70
% 1.78/0.70 [16] Rewrite : ~member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))
% 1.78/0.70 -> [21] ~(member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), skolem_A3333) | member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), skolem_B3434))
% 1.78/0.70
% 1.78/0.70 [21] ALPHA_NOT_OR : ~(member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), skolem_A3333) | member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), skolem_B3434))
% 1.78/0.70 -> [24] ~member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), skolem_A3333), ~member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), skolem_B3434)
% 1.78/0.70
% 1.78/0.70 [24] CLOSURE : ~member(skolem_X77(skolem_A3333, union(skolem_A3333, skolem_B3434)), skolem_A3333)
% 1.78/0.70
% 1.78/0.70 [12] Rewrite : ~subset(union(skolem_A3333, skolem_B3434), skolem_A3333)
% 1.78/0.70 -> [14] ~(member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), union(skolem_A3333, skolem_B3434)) => member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_A3333))
% 1.78/0.70
% 1.78/0.70 [14] ALPHA_NOT_IMPLY : ~(member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), union(skolem_A3333, skolem_B3434)) => member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_A3333))
% 1.78/0.70 -> [17] member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), union(skolem_A3333, skolem_B3434)), ~member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_A3333)
% 1.78/0.70
% 1.78/0.70 [17] Rewrite : member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), union(skolem_A3333, skolem_B3434))
% 1.78/0.70 -> [20] (member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_A3333) | member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_B3434))
% 1.78/0.70
% 1.78/0.70 [20] BETA_OR : (member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_A3333) | member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_B3434))
% 1.78/0.70 -> [22] member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_A3333)
% 1.78/0.70 -> [23] member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_B3434)
% 1.78/0.70
% 1.78/0.70 [22] CLOSURE : member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_A3333)
% 1.78/0.70
% 1.78/0.70 [23] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 1.78/0.70 -> [28] (member(X10_1_0, power_set(X10_1_0)) <=> subset(X10_1_0, X10_1_0))
% 1.78/0.70
% 1.78/0.70 [28] BETA_EQUIV : (member(X10_1_0, power_set(X10_1_0)) <=> subset(X10_1_0, X10_1_0))
% 1.78/0.70 -> [29] ~member(X10_1_0, power_set(X10_1_0)), ~subset(X10_1_0, X10_1_0)
% 1.78/0.70 -> [30] member(X10_1_0, power_set(X10_1_0)), subset(X10_1_0, X10_1_0)
% 1.78/0.70
% 1.78/0.70 [29] Rewrite : ~subset(X10_1_0, X10_1_0)
% 1.78/0.70 -> [33] ~(member(skolem_X77(X10_1_0, X10_1_0), X10_1_0) => member(skolem_X77(X10_1_0, X10_1_0), X10_1_0))
% 1.78/0.70
% 1.78/0.70 [33] ALPHA_NOT_IMPLY : ~(member(skolem_X77(X10_1_0, X10_1_0), X10_1_0) => member(skolem_X77(X10_1_0, X10_1_0), X10_1_0))
% 1.78/0.70 -> [35] member(skolem_X77(X10_1_0, X10_1_0), X10_1_0), ~member(skolem_X77(X10_1_0, X10_1_0), X10_1_0)
% 1.78/0.70
% 1.78/0.70 [35] CLOSURE : ~member(skolem_X77(X10_1_0, X10_1_0), X10_1_0)
% 1.78/0.70
% 1.78/0.70 [30] Rewrite : subset(X10_1_0, X10_1_0)
% 1.78/0.70 -> [37] ! [X7_7] : ((member(X7_7, X10_1_0) => member(X7_7, X10_1_0)))
% 1.78/0.70
% 1.78/0.70 [37] GAMMA_FORALL : ! [X18_18] : (~member(X18_18, empty_set))
% 1.78/0.70 -> [38] ~member(X18_1_1, empty_set)
% 1.78/0.70
% 1.78/0.70 [38] GAMMA_FORALL : ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 1.78/0.70 -> [42] (member(A23_1_2, singleton(A23_1_2)) <=> =(A23_1_2, A23_1_2))
% 1.78/0.70
% 1.78/0.70 [42] BETA_EQUIV : (member(A23_1_2, singleton(A23_1_2)) <=> =(A23_1_2, A23_1_2))
% 1.78/0.70 -> [43] ~member(A23_1_2, singleton(A23_1_2)), ~=(A23_1_2, A23_1_2)
% 1.78/0.70 -> [44] member(A23_1_2, singleton(A23_1_2)), =(A23_1_2, A23_1_2)
% 1.78/0.70
% 1.78/0.70 [43] CLOSURE : ~=(A23_1_2, A23_1_2)
% 1.78/0.70
% 1.78/0.70 [44] GAMMA_FORALL : ! [X7_7] : ((member(X7_7, skolem_B3434) => member(X7_7, skolem_A3333)))
% 1.78/0.70 -> [48] (member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_B3434) => member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_A3333))
% 1.78/0.70
% 1.78/0.70 [48] BETA_IMPLY : (member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_B3434) => member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_A3333))
% 1.78/0.70 -> [49] ~member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_B3434)
% 1.78/0.70 -> [50] member(skolem_X77(union(skolem_A3333, skolem_B3434), skolem_A3333), skolem_A3333)
% 1.78/0.70
% 1.78/0.70 [50] CLOSURE : =
% 1.78/0.70
% 1.78/0.70 [49] CLOSURE : =
% 1.78/0.70
% 1.78/0.70 [5] Rewrite : equal_set(skolem_A3333, union(skolem_A3333, skolem_B3434))
% 1.78/0.70 -> [6] (subset(skolem_A3333, union(skolem_A3333, skolem_B3434)) & subset(union(skolem_A3333, skolem_B3434), skolem_A3333))
% 1.78/0.70
% 1.78/0.70 [6] Rewrite : ~subset(skolem_B3434, skolem_A3333)
% 1.78/0.70 -> [8] ~(member(skolem_X77(skolem_B3434, skolem_A3333), skolem_B3434) => member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333))
% 1.78/0.70
% 1.78/0.70 [8] ALPHA_AND : (subset(skolem_A3333, union(skolem_A3333, skolem_B3434)) & subset(union(skolem_A3333, skolem_B3434), skolem_A3333))
% 1.78/0.70 -> [10] subset(skolem_A3333, union(skolem_A3333, skolem_B3434)), subset(union(skolem_A3333, skolem_B3434), skolem_A3333)
% 1.78/0.70
% 1.78/0.70 [10] Rewrite : subset(skolem_A3333, union(skolem_A3333, skolem_B3434))
% 1.78/0.70 -> [15] ! [X7_7] : ((member(X7_7, skolem_A3333) => member(X7_7, union(skolem_A3333, skolem_B3434))))
% 1.78/0.70
% 1.78/0.70 [15] Rewrite : subset(union(skolem_A3333, skolem_B3434), skolem_A3333)
% 1.78/0.70 -> [18] ! [X7_7] : ((member(X7_7, union(skolem_A3333, skolem_B3434)) => member(X7_7, skolem_A3333)))
% 1.78/0.70
% 1.78/0.70 [18] ALPHA_NOT_IMPLY : ~(member(skolem_X77(skolem_B3434, skolem_A3333), skolem_B3434) => member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333))
% 1.78/0.70 -> [19] member(skolem_X77(skolem_B3434, skolem_A3333), skolem_B3434), ~member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333)
% 1.78/0.70
% 1.78/0.70 [19] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 1.78/0.70 -> [25] (member(X10_0_0, power_set(X10_0_0)) <=> subset(X10_0_0, X10_0_0))
% 1.78/0.70
% 1.78/0.70 [25] BETA_EQUIV : (member(X10_0_0, power_set(X10_0_0)) <=> subset(X10_0_0, X10_0_0))
% 1.78/0.70 -> [26] ~member(X10_0_0, power_set(X10_0_0)), ~subset(X10_0_0, X10_0_0)
% 1.78/0.70 -> [27] member(X10_0_0, power_set(X10_0_0)), subset(X10_0_0, X10_0_0)
% 1.78/0.70
% 1.78/0.70 [26] Rewrite : ~subset(X10_0_0, X10_0_0)
% 1.78/0.70 -> [31] ~(member(skolem_X77(X10_0_0, X10_0_0), X10_0_0) => member(skolem_X77(X10_0_0, X10_0_0), X10_0_0))
% 1.78/0.70
% 1.78/0.70 [31] ALPHA_NOT_IMPLY : ~(member(skolem_X77(X10_0_0, X10_0_0), X10_0_0) => member(skolem_X77(X10_0_0, X10_0_0), X10_0_0))
% 1.78/0.70 -> [32] member(skolem_X77(X10_0_0, X10_0_0), X10_0_0), ~member(skolem_X77(X10_0_0, X10_0_0), X10_0_0)
% 1.78/0.70
% 1.78/0.70 [32] CLOSURE : ~member(skolem_X77(X10_0_0, X10_0_0), X10_0_0)
% 1.78/0.70
% 1.78/0.70 [27] Rewrite : subset(X10_0_0, X10_0_0)
% 1.78/0.70 -> [34] ! [X7_7] : ((member(X7_7, X10_0_0) => member(X7_7, X10_0_0)))
% 1.78/0.70
% 1.78/0.70 [34] GAMMA_FORALL : ! [X18_18] : (~member(X18_18, empty_set))
% 1.78/0.70 -> [36] ~member(X18_0_1, empty_set)
% 1.78/0.70
% 1.78/0.70 [36] GAMMA_FORALL : ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 1.78/0.70 -> [39] (member(A23_0_2, singleton(A23_0_2)) <=> =(A23_0_2, A23_0_2))
% 1.78/0.70
% 1.78/0.70 [39] BETA_EQUIV : (member(A23_0_2, singleton(A23_0_2)) <=> =(A23_0_2, A23_0_2))
% 1.78/0.70 -> [40] ~member(A23_0_2, singleton(A23_0_2)), ~=(A23_0_2, A23_0_2)
% 1.78/0.70 -> [41] member(A23_0_2, singleton(A23_0_2)), =(A23_0_2, A23_0_2)
% 1.78/0.70
% 1.78/0.70 [40] CLOSURE : ~=(A23_0_2, A23_0_2)
% 1.78/0.70
% 1.78/0.70 [41] GAMMA_FORALL : ! [X7_7] : ((member(X7_7, skolem_A3333) => member(X7_7, union(skolem_A3333, skolem_B3434))))
% 1.78/0.70 -> [45] (member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333) => member(skolem_X77(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)))
% 1.78/0.70
% 1.78/0.70 [45] BETA_IMPLY : (member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333) => member(skolem_X77(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)))
% 1.78/0.70 -> [46] ~member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333)
% 1.78/0.70 -> [47] member(skolem_X77(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434))
% 1.78/0.70
% 1.78/0.70 [46] GAMMA_FORALL : ! [X7_7] : ((member(X7_7, union(skolem_A3333, skolem_B3434)) => member(X7_7, skolem_A3333)))
% 1.78/0.70 -> [54] (member(skolem_X77(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)) => member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333))
% 1.78/0.70
% 1.78/0.70 [54] BETA_IMPLY : (member(skolem_X77(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)) => member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333))
% 1.78/0.70 -> [55] ~member(skolem_X77(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434))
% 1.78/0.70 -> [56] member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333)
% 1.78/0.70
% 1.78/0.70 [56] CLOSURE : =
% 1.78/0.70
% 1.78/0.70 [55] Rewrite : ~member(skolem_X77(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434))
% 1.78/0.70 -> [60] ~(member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333) | member(skolem_X77(skolem_B3434, skolem_A3333), skolem_B3434))
% 1.78/0.70
% 1.78/0.70 [60] ALPHA_NOT_OR : ~(member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333) | member(skolem_X77(skolem_B3434, skolem_A3333), skolem_B3434))
% 1.78/0.70 -> [61] ~member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333), ~member(skolem_X77(skolem_B3434, skolem_A3333), skolem_B3434)
% 1.78/0.70
% 1.78/0.70 [61] CLOSURE : =
% 1.78/0.70
% 1.78/0.70 [47] Rewrite : member(skolem_X77(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434))
% 1.78/0.70 -> [51] (member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333) | member(skolem_X77(skolem_B3434, skolem_A3333), skolem_B3434))
% 1.78/0.70
% 1.78/0.70 [51] BETA_OR : (member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333) | member(skolem_X77(skolem_B3434, skolem_A3333), skolem_B3434))
% 1.78/0.70 -> [52] member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333)
% 1.78/0.70 -> [53] member(skolem_X77(skolem_B3434, skolem_A3333), skolem_B3434)
% 1.78/0.70
% 1.78/0.70 [52] CLOSURE : =
% 1.78/0.70
% 1.78/0.70 [53] GAMMA_FORALL : ! [X7_7] : ((member(X7_7, union(skolem_A3333, skolem_B3434)) => member(X7_7, skolem_A3333)))
% 1.78/0.70 -> [57] (member(skolem_X77(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)) => member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333))
% 1.78/0.70
% 1.78/0.70 [57] BETA_IMPLY : (member(skolem_X77(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434)) => member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333))
% 1.78/0.70 -> [58] ~member(skolem_X77(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434))
% 1.78/0.70 -> [59] member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333)
% 1.78/0.70
% 1.78/0.70 [59] CLOSURE : =
% 1.78/0.70
% 1.78/0.70 [58] Rewrite : ~member(skolem_X77(skolem_B3434, skolem_A3333), union(skolem_A3333, skolem_B3434))
% 1.78/0.70 -> [62] ~(member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333) | member(skolem_X77(skolem_B3434, skolem_A3333), skolem_B3434))
% 1.78/0.70
% 1.78/0.70 [62] ALPHA_NOT_OR : ~(member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333) | member(skolem_X77(skolem_B3434, skolem_A3333), skolem_B3434))
% 1.78/0.70 -> [63] ~member(skolem_X77(skolem_B3434, skolem_A3333), skolem_A3333), ~member(skolem_X77(skolem_B3434, skolem_A3333), skolem_B3434)
% 1.78/0.70
% 1.78/0.70 [63] CLOSURE : =
% 1.78/0.70
% 1.78/0.70 % SZS output end Proof for theBenchmark.p
% 1.78/0.70 [0.352686s][1][Res] 767 goroutines created
% 1.78/0.70 ==== Result ====
% 1.78/0.70 [0.352707s][1][Res] VALID
% 1.78/0.70 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------