TSTP Solution File: SET352+4 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET352+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 04:16:08 EDT 2022
% Result : Theorem 0.19s 0.59s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET352+4 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Sep 3 05:03:21 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 [DMT] DMT loaded with preskolemization
% 0.13/0.33 [EQ] equality loaded.
% 0.13/0.33 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Conjecture not found
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 15
% 0.13/0.34 Launch Gotab with destructive = true
% 0.19/0.59 % SZS output start Proof for theBenchmark.p
% 0.19/0.59 [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(sum(unordered_pair(A33_33, B34_34)), union(A33_33, B34_34))))
% 0.19/0.59 -> [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(sum(unordered_pair(A33_33, B34_34)), union(A33_33, B34_34)))
% 0.19/0.59
% 0.19/0.59 [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))))
% 0.19/0.59 -> [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)))
% 0.19/0.59
% 0.19/0.59 [2] DELTA_NOT_FORALL : ~! [A33_33, B34_34] : (equal_set(sum(unordered_pair(A33_33, B34_34)), union(A33_33, B34_34)))
% 0.19/0.59 -> [3] ~equal_set(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))
% 0.19/0.59
% 0.19/0.59 [3] Rewrite : ~equal_set(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))
% 0.19/0.59 -> [4] ~(subset(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)) & subset(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))))
% 0.19/0.59
% 0.19/0.59 [4] BETA_NOT_AND : ~(subset(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)) & subset(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))))
% 0.19/0.59 -> [5] ~subset(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))
% 0.19/0.59 -> [6] ~subset(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434)))
% 0.19/0.59
% 0.19/0.59 [5] Rewrite : ~subset(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))
% 0.19/0.59 -> [8] ~(member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), sum(unordered_pair(skolem_A3333, skolem_B3434))) => member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)))
% 0.19/0.59
% 0.19/0.59 [8] ALPHA_NOT_IMPLY : ~(member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), sum(unordered_pair(skolem_A3333, skolem_B3434))) => member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)))
% 0.19/0.59 -> [10] member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), sum(unordered_pair(skolem_A3333, skolem_B3434))), ~member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))
% 0.19/0.59
% 0.19/0.59 [10] Rewrite : member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), sum(unordered_pair(skolem_A3333, skolem_B3434)))
% 0.19/0.59 -> [12] (member(skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))), unordered_pair(skolem_A3333, skolem_B3434)) & member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)))))
% 0.19/0.59
% 0.19/0.59 [12] Rewrite : ~member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))
% 0.19/0.59 -> [16] ~(member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), skolem_A3333) | member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), skolem_B3434))
% 0.19/0.59
% 0.19/0.59 [16] ALPHA_AND : (member(skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))), unordered_pair(skolem_A3333, skolem_B3434)) & member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)))))
% 0.19/0.59 -> [17] member(skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))), unordered_pair(skolem_A3333, skolem_B3434)), member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))))
% 0.19/0.59
% 0.19/0.59 [17] Rewrite : member(skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))), unordered_pair(skolem_A3333, skolem_B3434))
% 0.19/0.59 -> [24] (=(skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))), skolem_A3333) | =(skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))), skolem_B3434))
% 0.19/0.59
% 0.19/0.59 [24] ALPHA_NOT_OR : ~(member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), skolem_A3333) | member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), skolem_B3434))
% 0.19/0.59 -> [33] ~member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), skolem_A3333), ~member(skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434)), skolem_B3434)
% 0.19/0.59
% 0.19/0.59 [33] BETA_OR : (=(skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))), skolem_A3333) | =(skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))), skolem_B3434))
% 0.19/0.59 -> [40] =(skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))), skolem_A3333)
% 0.19/0.59 -> [41] =(skolem_Y2929(unordered_pair(skolem_A3333, skolem_B3434), skolem_X77(sum(unordered_pair(skolem_A3333, skolem_B3434)), union(skolem_A3333, skolem_B3434))), skolem_B3434)
% 0.19/0.59
% 0.19/0.59 [41] CLOSURE : =
% 0.19/0.59
% 0.19/0.59 [40] CLOSURE : =
% 0.19/0.59
% 0.19/0.59 [6] Rewrite : ~subset(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434)))
% 0.19/0.59 -> [7] ~(member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), union(skolem_A3333, skolem_B3434)) => member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), sum(unordered_pair(skolem_A3333, skolem_B3434))))
% 0.19/0.59
% 0.19/0.59 [7] ALPHA_NOT_IMPLY : ~(member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), union(skolem_A3333, skolem_B3434)) => member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), sum(unordered_pair(skolem_A3333, skolem_B3434))))
% 0.19/0.59 -> [9] member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), union(skolem_A3333, skolem_B3434)), ~member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), sum(unordered_pair(skolem_A3333, skolem_B3434)))
% 0.19/0.59
% 0.19/0.59 [9] Rewrite : member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), union(skolem_A3333, skolem_B3434))
% 0.19/0.59 -> [11] (member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), skolem_A3333) | member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), skolem_B3434))
% 0.19/0.59
% 0.19/0.59 [11] Rewrite : ~member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), sum(unordered_pair(skolem_A3333, skolem_B3434)))
% 0.19/0.59 -> [13] ~? [Y29_29] : ((member(Y29_29, unordered_pair(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), Y29_29)))
% 0.19/0.59
% 0.19/0.59 [13] BETA_OR : (member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), skolem_A3333) | member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), skolem_B3434))
% 0.19/0.59 -> [14] member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), skolem_A3333)
% 0.19/0.59 -> [15] member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), skolem_B3434)
% 0.19/0.59
% 0.19/0.59 [14] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 0.19/0.59 -> [21] (member(X10_1_0, power_set(X10_1_0)) <=> subset(X10_1_0, X10_1_0))
% 0.19/0.59
% 0.19/0.59 [21] BETA_EQUIV : (member(X10_1_0, power_set(X10_1_0)) <=> subset(X10_1_0, X10_1_0))
% 0.19/0.59 -> [22] ~member(X10_1_0, power_set(X10_1_0)), ~subset(X10_1_0, X10_1_0)
% 0.19/0.59 -> [23] member(X10_1_0, power_set(X10_1_0)), subset(X10_1_0, X10_1_0)
% 0.19/0.59
% 0.19/0.59 [22] Rewrite : ~subset(X10_1_0, X10_1_0)
% 0.19/0.59 -> [26] ~(member(skolem_X77(X10_1_0, X10_1_0), X10_1_0) => member(skolem_X77(X10_1_0, X10_1_0), X10_1_0))
% 0.19/0.59
% 0.19/0.59 [26] 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))
% 0.19/0.59 -> [30] member(skolem_X77(X10_1_0, X10_1_0), X10_1_0), ~member(skolem_X77(X10_1_0, X10_1_0), X10_1_0)
% 0.19/0.59
% 0.19/0.59 [30] CLOSURE : ~member(skolem_X77(X10_1_0, X10_1_0), X10_1_0)
% 0.19/0.59
% 0.19/0.59 [23] Rewrite : subset(X10_1_0, X10_1_0)
% 0.19/0.59 -> [29] ! [X7_7] : ((member(X7_7, X10_1_0) => member(X7_7, X10_1_0)))
% 0.19/0.59
% 0.19/0.59 [29] GAMMA_FORALL : ! [X18_18] : (~member(X18_18, empty_set))
% 0.19/0.59 -> [32] ~member(X18_1_1, empty_set)
% 0.19/0.59
% 0.19/0.59 [32] GAMMA_FORALL : ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 0.19/0.59 -> [35] (member(A23_1_2, singleton(A23_1_2)) <=> =(A23_1_2, A23_1_2))
% 0.19/0.59
% 0.19/0.59 [35] BETA_EQUIV : (member(A23_1_2, singleton(A23_1_2)) <=> =(A23_1_2, A23_1_2))
% 0.19/0.59 -> [38] ~member(A23_1_2, singleton(A23_1_2)), ~=(A23_1_2, A23_1_2)
% 0.19/0.59 -> [39] member(A23_1_2, singleton(A23_1_2)), =(A23_1_2, A23_1_2)
% 0.19/0.59
% 0.19/0.59 [38] CLOSURE : ~=(A23_1_2, A23_1_2)
% 0.19/0.59
% 0.19/0.59 [39] GAMMA_NOT_EXISTS : ~? [Y29_29] : ((member(Y29_29, unordered_pair(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), Y29_29)))
% 0.19/0.59 -> [42] ~(member(skolem_A3333, unordered_pair(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), skolem_A3333))
% 0.19/0.59
% 0.19/0.59 [42] BETA_NOT_AND : ~(member(skolem_A3333, unordered_pair(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), skolem_A3333))
% 0.19/0.59 -> [43] ~member(skolem_A3333, unordered_pair(skolem_A3333, skolem_B3434))
% 0.19/0.59 -> [44] ~member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), skolem_A3333)
% 0.19/0.59
% 0.19/0.59 [44] CLOSURE : =
% 0.19/0.59
% 0.19/0.59 [43] Rewrite : ~member(skolem_A3333, unordered_pair(skolem_A3333, skolem_B3434))
% 0.19/0.59 -> [48] ~(=(skolem_A3333, skolem_A3333) | =(skolem_A3333, skolem_B3434))
% 0.19/0.59
% 0.19/0.59 [48] ALPHA_NOT_OR : ~(=(skolem_A3333, skolem_A3333) | =(skolem_A3333, skolem_B3434))
% 0.19/0.59 -> [49] ~=(skolem_A3333, skolem_A3333), ~=(skolem_A3333, skolem_B3434)
% 0.19/0.59
% 0.19/0.59 [49] CLOSURE : =
% 0.19/0.59
% 0.19/0.59 [15] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 0.19/0.59 -> [18] (member(X10_0_0, power_set(X10_0_0)) <=> subset(X10_0_0, X10_0_0))
% 0.19/0.59
% 0.19/0.59 [18] BETA_EQUIV : (member(X10_0_0, power_set(X10_0_0)) <=> subset(X10_0_0, X10_0_0))
% 0.19/0.59 -> [19] ~member(X10_0_0, power_set(X10_0_0)), ~subset(X10_0_0, X10_0_0)
% 0.19/0.59 -> [20] member(X10_0_0, power_set(X10_0_0)), subset(X10_0_0, X10_0_0)
% 0.19/0.59
% 0.19/0.59 [19] Rewrite : ~subset(X10_0_0, X10_0_0)
% 0.19/0.59 -> [25] ~(member(skolem_X77(X10_0_0, X10_0_0), X10_0_0) => member(skolem_X77(X10_0_0, X10_0_0), X10_0_0))
% 0.19/0.59
% 0.19/0.59 [25] 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))
% 0.19/0.59 -> [27] member(skolem_X77(X10_0_0, X10_0_0), X10_0_0), ~member(skolem_X77(X10_0_0, X10_0_0), X10_0_0)
% 0.19/0.59
% 0.19/0.59 [27] CLOSURE : ~member(skolem_X77(X10_0_0, X10_0_0), X10_0_0)
% 0.19/0.59
% 0.19/0.59 [20] Rewrite : subset(X10_0_0, X10_0_0)
% 0.19/0.59 -> [28] ! [X7_7] : ((member(X7_7, X10_0_0) => member(X7_7, X10_0_0)))
% 0.19/0.59
% 0.19/0.59 [28] GAMMA_FORALL : ! [X18_18] : (~member(X18_18, empty_set))
% 0.19/0.59 -> [31] ~member(X18_0_1, empty_set)
% 0.19/0.59
% 0.19/0.59 [31] GAMMA_FORALL : ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 0.19/0.59 -> [34] (member(A23_0_2, singleton(A23_0_2)) <=> =(A23_0_2, A23_0_2))
% 0.19/0.59
% 0.19/0.59 [34] BETA_EQUIV : (member(A23_0_2, singleton(A23_0_2)) <=> =(A23_0_2, A23_0_2))
% 0.19/0.59 -> [36] ~member(A23_0_2, singleton(A23_0_2)), ~=(A23_0_2, A23_0_2)
% 0.19/0.59 -> [37] member(A23_0_2, singleton(A23_0_2)), =(A23_0_2, A23_0_2)
% 0.19/0.59
% 0.19/0.59 [36] CLOSURE : ~=(A23_0_2, A23_0_2)
% 0.19/0.59
% 0.19/0.59 [37] GAMMA_NOT_EXISTS : ~? [Y29_29] : ((member(Y29_29, unordered_pair(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), Y29_29)))
% 0.19/0.59 -> [45] ~(member(skolem_B3434, unordered_pair(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), skolem_B3434))
% 0.19/0.59
% 0.19/0.59 [45] BETA_NOT_AND : ~(member(skolem_B3434, unordered_pair(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), skolem_B3434))
% 0.19/0.59 -> [46] ~member(skolem_B3434, unordered_pair(skolem_A3333, skolem_B3434))
% 0.19/0.59 -> [47] ~member(skolem_X77(union(skolem_A3333, skolem_B3434), sum(unordered_pair(skolem_A3333, skolem_B3434))), skolem_B3434)
% 0.19/0.59
% 0.19/0.59 [47] CLOSURE : =
% 0.19/0.59
% 0.19/0.59 [46] Rewrite : ~member(skolem_A3333, unordered_pair(skolem_A3333, skolem_B3434))
% 0.19/0.59 -> [50] ~(=(skolem_A3333, skolem_A3333) | =(skolem_A3333, skolem_B3434))
% 0.19/0.59
% 0.19/0.59 [50] ALPHA_NOT_OR : ~(=(skolem_A3333, skolem_A3333) | =(skolem_A3333, skolem_B3434))
% 0.19/0.59 -> [51] ~=(skolem_A3333, skolem_A3333), ~=(skolem_A3333, skolem_B3434)
% 0.19/0.59
% 0.19/0.59 [51] CLOSURE : =
% 0.19/0.59
% 0.19/0.59 % SZS output end Proof for theBenchmark.p
% 0.19/0.59 [0.255407s][1][Res] 698 goroutines created
% 0.19/0.59 ==== Result ====
% 0.19/0.59 [0.255451s][1][Res] VALID
% 0.19/0.59 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------