TSTP Solution File: SET358+4 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET358+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n028.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 04:16:10 EDT 2022
% Result : Theorem 26.96s 4.22s
% Output : Proof 26.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET358+4 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : goeland -dmt -presko -proof %s
% 0.10/0.32 % Computer : n028.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Sat Sep 3 04:54:08 EDT 2022
% 0.16/0.32 % CPUTime :
% 0.16/0.33 [DMT] DMT loaded with preskolemization
% 0.16/0.33 [EQ] equality loaded.
% 0.16/0.33 [0.000035s][1][MAIN] Problem : theBenchmark.p
% 0.16/0.33 Conjecture not found
% 0.16/0.33 Start search
% 0.16/0.33 nb_step : 1 - limit : 15
% 0.16/0.33 Launch Gotab with destructive = true
% 26.96/4.21 % SZS output start Proof for theBenchmark.p
% 26.96/4.21 [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(union(sum(A33_33), sum(B34_34)), sum(union(A33_33, B34_34)))))
% 26.96/4.21 -> [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(union(sum(A33_33), sum(B34_34)), sum(union(A33_33, B34_34))))
% 26.96/4.21
% 26.96/4.21 [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))))
% 26.96/4.21 -> [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)))
% 26.96/4.21
% 26.96/4.21 [2] DELTA_NOT_FORALL : ~! [A33_33, B34_34] : (equal_set(union(sum(A33_33), sum(B34_34)), sum(union(A33_33, B34_34))))
% 26.96/4.21 -> [3] ~equal_set(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))
% 26.96/4.21
% 26.96/4.21 [3] Rewrite : ~equal_set(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))
% 26.96/4.21 -> [4] ~(subset(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))) & subset(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))
% 26.96/4.21
% 26.96/4.21 [4] BETA_NOT_AND : ~(subset(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))) & subset(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))
% 26.96/4.21 -> [5] ~subset(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))
% 26.96/4.21 -> [6] ~subset(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))
% 26.96/4.21
% 26.96/4.21 [5] Rewrite : ~subset(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))
% 26.96/4.21 -> [8] ~(member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), union(sum(skolem_A3333), sum(skolem_B3434))) => member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), sum(union(skolem_A3333, skolem_B3434))))
% 26.96/4.21
% 26.96/4.21 [8] ALPHA_NOT_IMPLY : ~(member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), union(sum(skolem_A3333), sum(skolem_B3434))) => member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), sum(union(skolem_A3333, skolem_B3434))))
% 26.96/4.21 -> [10] member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), union(sum(skolem_A3333), sum(skolem_B3434))), ~member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), sum(union(skolem_A3333, skolem_B3434)))
% 26.96/4.21
% 26.96/4.21 [10] Rewrite : member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), union(sum(skolem_A3333), sum(skolem_B3434)))
% 26.96/4.21 -> [12] (member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), sum(skolem_A3333)) | member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), sum(skolem_B3434)))
% 26.96/4.21
% 26.96/4.21 [12] Rewrite : ~member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), sum(union(skolem_A3333, skolem_B3434)))
% 26.96/4.21 -> [13] ~? [Y29_29] : ((member(Y29_29, union(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), Y29_29)))
% 26.96/4.21
% 26.96/4.21 [13] BETA_OR : (member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), sum(skolem_A3333)) | member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), sum(skolem_B3434)))
% 26.96/4.21 -> [15] member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), sum(skolem_A3333))
% 26.96/4.21 -> [16] member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), sum(skolem_B3434))
% 26.96/4.21
% 26.96/4.21 [15] Rewrite : member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), sum(skolem_A3333))
% 26.96/4.21 -> [19] (member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_A3333) & member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))))))
% 26.96/4.21
% 26.96/4.21 [19] ALPHA_AND : (member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_A3333) & member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))))))
% 26.96/4.21 -> [21] member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_A3333), member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))))
% 26.96/4.21
% 26.96/4.21 [21] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 26.96/4.21 -> [26] (member(X10_1_0, power_set(X10_1_0)) <=> subset(X10_1_0, X10_1_0))
% 26.96/4.21
% 26.96/4.21 [26] BETA_EQUIV : (member(X10_1_0, power_set(X10_1_0)) <=> subset(X10_1_0, X10_1_0))
% 26.96/4.21 -> [28] ~member(X10_1_0, power_set(X10_1_0)), ~subset(X10_1_0, X10_1_0)
% 26.96/4.21 -> [29] member(X10_1_0, power_set(X10_1_0)), subset(X10_1_0, X10_1_0)
% 26.96/4.21
% 26.96/4.21 [28] Rewrite : ~subset(X10_1_0, X10_1_0)
% 26.96/4.21 -> [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))
% 26.96/4.21
% 26.96/4.21 [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))
% 26.96/4.21 -> [37] member(skolem_X77(X10_1_0, X10_1_0), X10_1_0), ~member(skolem_X77(X10_1_0, X10_1_0), X10_1_0)
% 26.96/4.21
% 26.96/4.21 [37] CLOSURE : ~member(skolem_X77(X10_1_0, X10_1_0), X10_1_0)
% 26.96/4.21
% 26.96/4.21 [29] Rewrite : subset(X10_1_0, X10_1_0)
% 26.96/4.21 -> [34] ! [X7_7] : ((member(X7_7, X10_1_0) => member(X7_7, X10_1_0)))
% 26.96/4.21
% 26.96/4.21 [34] GAMMA_FORALL : ! [X18_18] : (~member(X18_18, empty_set))
% 26.96/4.21 -> [39] ~member(X18_1_1, empty_set)
% 26.96/4.21
% 26.96/4.21 [39] GAMMA_FORALL : ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 26.96/4.21 -> [42] (member(A23_0_2, singleton(A23_0_2)) <=> =(A23_0_2, A23_0_2))
% 26.96/4.21
% 26.96/4.21 [42] BETA_EQUIV : (member(A23_0_2, singleton(A23_0_2)) <=> =(A23_0_2, A23_0_2))
% 26.96/4.21 -> [43] ~member(A23_0_2, singleton(A23_0_2)), ~=(A23_0_2, A23_0_2)
% 26.96/4.21 -> [44] member(A23_0_2, singleton(A23_0_2)), =(A23_0_2, A23_0_2)
% 26.96/4.21
% 26.96/4.21 [43] CLOSURE : ~=(A23_0_2, A23_0_2)
% 26.96/4.21
% 26.96/4.21 [44] GAMMA_NOT_EXISTS : ~? [Y29_29] : ((member(Y29_29, union(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), Y29_29)))
% 26.96/4.21 -> [68] ~(member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), union(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))))))
% 26.96/4.21
% 26.96/4.21 [68] BETA_NOT_AND : ~(member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), union(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))))))
% 26.96/4.21 -> [69] ~member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), union(skolem_A3333, skolem_B3434))
% 26.96/4.21 -> [70] ~member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))))
% 26.96/4.21
% 26.96/4.21 [70] CLOSURE : =
% 26.96/4.21
% 26.96/4.21 [69] Rewrite : ~member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), union(skolem_A3333, skolem_B3434))
% 26.96/4.21 -> [80] ~(member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_A3333) | member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_B3434))
% 26.96/4.21
% 26.96/4.21 [80] ALPHA_NOT_OR : ~(member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_A3333) | member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_B3434))
% 26.96/4.21 -> [81] ~member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_A3333), ~member(skolem_Y2929(skolem_A3333, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_B3434)
% 26.96/4.21
% 26.96/4.21 [81] CLOSURE : =
% 26.96/4.21
% 26.96/4.21 [16] Rewrite : member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), sum(skolem_B3434))
% 26.96/4.21 -> [18] (member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_B3434) & member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))))))
% 26.96/4.21
% 26.96/4.21 [18] ALPHA_AND : (member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_B3434) & member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))))))
% 26.96/4.21 -> [20] member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_B3434), member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))))
% 26.96/4.21
% 26.96/4.21 [20] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 26.96/4.21 -> [23] (member(X10_0_0, power_set(X10_0_0)) <=> subset(X10_0_0, X10_0_0))
% 26.96/4.21
% 26.96/4.21 [23] BETA_EQUIV : (member(X10_0_0, power_set(X10_0_0)) <=> subset(X10_0_0, X10_0_0))
% 26.96/4.21 -> [24] ~member(X10_0_0, power_set(X10_0_0)), ~subset(X10_0_0, X10_0_0)
% 26.96/4.21 -> [25] member(X10_0_0, power_set(X10_0_0)), subset(X10_0_0, X10_0_0)
% 26.96/4.21
% 26.96/4.21 [24] Rewrite : ~subset(X10_0_0, X10_0_0)
% 26.96/4.21 -> [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))
% 26.96/4.21
% 26.96/4.21 [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))
% 26.96/4.21 -> [35] member(skolem_X77(X10_0_0, X10_0_0), X10_0_0), ~member(skolem_X77(X10_0_0, X10_0_0), X10_0_0)
% 26.96/4.21
% 26.96/4.21 [35] CLOSURE : ~member(skolem_X77(X10_0_0, X10_0_0), X10_0_0)
% 26.96/4.21
% 26.96/4.21 [25] Rewrite : subset(X10_0_0, X10_0_0)
% 26.96/4.21 -> [32] ! [X7_7] : ((member(X7_7, X10_0_0) => member(X7_7, X10_0_0)))
% 26.96/4.21
% 26.96/4.21 [32] GAMMA_FORALL : ! [X18_18] : (~member(X18_18, empty_set))
% 26.96/4.21 -> [36] ~member(X18_0_1, empty_set)
% 26.96/4.21
% 26.96/4.21 [36] GAMMA_FORALL : ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 26.96/4.21 -> [45] (member(A23_1_2, singleton(A23_1_2)) <=> =(A23_1_2, A23_1_2))
% 26.96/4.21
% 26.96/4.21 [45] BETA_EQUIV : (member(A23_1_2, singleton(A23_1_2)) <=> =(A23_1_2, A23_1_2))
% 26.96/4.21 -> [46] ~member(A23_1_2, singleton(A23_1_2)), ~=(A23_1_2, A23_1_2)
% 26.96/4.21 -> [47] member(A23_1_2, singleton(A23_1_2)), =(A23_1_2, A23_1_2)
% 26.96/4.21
% 26.96/4.21 [46] CLOSURE : ~=(A23_1_2, A23_1_2)
% 26.96/4.21
% 26.96/4.21 [47] GAMMA_NOT_EXISTS : ~? [Y29_29] : ((member(Y29_29, union(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), Y29_29)))
% 26.96/4.21 -> [74] ~(member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), union(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))))))
% 26.96/4.21
% 26.96/4.21 [74] BETA_NOT_AND : ~(member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), union(skolem_A3333, skolem_B3434)) & member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))))))
% 26.96/4.21 -> [75] ~member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), union(skolem_A3333, skolem_B3434))
% 26.96/4.21 -> [76] ~member(skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434))), skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))))
% 26.96/4.21
% 26.96/4.21 [76] CLOSURE : =
% 26.96/4.21
% 26.96/4.21 [75] Rewrite : ~member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), union(skolem_A3333, skolem_B3434))
% 26.96/4.21 -> [82] ~(member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_A3333) | member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_B3434))
% 26.96/4.21
% 26.96/4.21 [82] ALPHA_NOT_OR : ~(member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_A3333) | member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_B3434))
% 26.96/4.21 -> [83] ~member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_A3333), ~member(skolem_Y2929(skolem_B3434, skolem_X77(union(sum(skolem_A3333), sum(skolem_B3434)), sum(union(skolem_A3333, skolem_B3434)))), skolem_B3434)
% 26.96/4.21
% 26.96/4.21 [83] CLOSURE : =
% 26.96/4.21
% 26.96/4.21 [6] Rewrite : ~subset(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))
% 26.96/4.21 -> [7] ~(member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), sum(union(skolem_A3333, skolem_B3434))) => member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), union(sum(skolem_A3333), sum(skolem_B3434))))
% 26.96/4.21
% 26.96/4.21 [7] ALPHA_NOT_IMPLY : ~(member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), sum(union(skolem_A3333, skolem_B3434))) => member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), union(sum(skolem_A3333), sum(skolem_B3434))))
% 26.96/4.21 -> [9] member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), sum(union(skolem_A3333, skolem_B3434))), ~member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), union(sum(skolem_A3333), sum(skolem_B3434)))
% 26.96/4.21
% 26.96/4.21 [9] Rewrite : member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), sum(union(skolem_A3333, skolem_B3434)))
% 26.96/4.21 -> [11] (member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), union(skolem_A3333, skolem_B3434)) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))))
% 26.96/4.21
% 26.96/4.21 [11] Rewrite : ~member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), union(sum(skolem_A3333), sum(skolem_B3434)))
% 26.96/4.21 -> [14] ~(member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), sum(skolem_A3333)) | member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), sum(skolem_B3434)))
% 26.96/4.21
% 26.96/4.21 [14] ALPHA_AND : (member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), union(skolem_A3333, skolem_B3434)) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))))
% 26.96/4.21 -> [17] member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), union(skolem_A3333, skolem_B3434)), member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))))
% 26.96/4.21
% 26.96/4.21 [17] Rewrite : member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), union(skolem_A3333, skolem_B3434))
% 26.96/4.21 -> [22] (member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_A3333) | member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_B3434))
% 26.96/4.21
% 26.96/4.21 [22] ALPHA_NOT_OR : ~(member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), sum(skolem_A3333)) | member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), sum(skolem_B3434)))
% 26.96/4.21 -> [27] ~member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), sum(skolem_A3333)), ~member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), sum(skolem_B3434))
% 26.96/4.21
% 26.96/4.21 [27] Rewrite : ~member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), sum(skolem_A3333))
% 26.96/4.21 -> [30] ~? [Y29_29] : ((member(Y29_29, skolem_A3333) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), Y29_29)))
% 26.96/4.21
% 26.96/4.21 [30] Rewrite : ~member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), sum(skolem_B3434))
% 26.96/4.21 -> [38] ~? [Y29_29] : ((member(Y29_29, skolem_B3434) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), Y29_29)))
% 26.96/4.21
% 26.96/4.21 [38] BETA_OR : (member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_A3333) | member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_B3434))
% 26.96/4.21 -> [40] member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_A3333)
% 26.96/4.21 -> [41] member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_B3434)
% 26.96/4.21
% 26.96/4.21 [40] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 26.96/4.21 -> [48] (member(X10_2_0, power_set(X10_2_0)) <=> subset(X10_2_0, X10_2_0))
% 26.96/4.21
% 26.96/4.21 [48] BETA_EQUIV : (member(X10_2_0, power_set(X10_2_0)) <=> subset(X10_2_0, X10_2_0))
% 26.96/4.21 -> [50] ~member(X10_2_0, power_set(X10_2_0)), ~subset(X10_2_0, X10_2_0)
% 26.96/4.21 -> [51] member(X10_2_0, power_set(X10_2_0)), subset(X10_2_0, X10_2_0)
% 26.96/4.21
% 26.96/4.21 [50] Rewrite : ~subset(X10_2_0, X10_2_0)
% 26.96/4.21 -> [55] ~(member(skolem_X77(X10_2_0, X10_2_0), X10_2_0) => member(skolem_X77(X10_2_0, X10_2_0), X10_2_0))
% 26.96/4.21
% 26.96/4.21 [55] ALPHA_NOT_IMPLY : ~(member(skolem_X77(X10_2_0, X10_2_0), X10_2_0) => member(skolem_X77(X10_2_0, X10_2_0), X10_2_0))
% 26.96/4.21 -> [57] member(skolem_X77(X10_2_0, X10_2_0), X10_2_0), ~member(skolem_X77(X10_2_0, X10_2_0), X10_2_0)
% 26.96/4.21
% 26.96/4.21 [57] CLOSURE : ~member(skolem_X77(X10_2_0, X10_2_0), X10_2_0)
% 26.96/4.21
% 26.96/4.21 [51] Rewrite : subset(X10_2_0, X10_2_0)
% 26.96/4.21 -> [54] ! [X7_7] : ((member(X7_7, X10_2_0) => member(X7_7, X10_2_0)))
% 26.96/4.21
% 26.96/4.21 [54] GAMMA_FORALL : ! [X18_18] : (~member(X18_18, empty_set))
% 26.96/4.21 -> [56] ~member(X18_2_1, empty_set)
% 26.96/4.21
% 26.96/4.21 [56] GAMMA_FORALL : ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 26.96/4.21 -> [58] (member(A23_2_2, singleton(A23_2_2)) <=> =(A23_2_2, A23_2_2))
% 26.96/4.21
% 26.96/4.21 [58] BETA_EQUIV : (member(A23_2_2, singleton(A23_2_2)) <=> =(A23_2_2, A23_2_2))
% 26.96/4.21 -> [60] ~member(A23_2_2, singleton(A23_2_2)), ~=(A23_2_2, A23_2_2)
% 26.96/4.21 -> [61] member(A23_2_2, singleton(A23_2_2)), =(A23_2_2, A23_2_2)
% 26.96/4.21
% 26.96/4.21 [60] CLOSURE : ~=(A23_2_2, A23_2_2)
% 26.96/4.21
% 26.96/4.21 [61] GAMMA_NOT_EXISTS : ~? [Y29_29] : ((member(Y29_29, skolem_A3333) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), Y29_29)))
% 26.96/4.21 -> [77] ~(member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_A3333) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))))
% 26.96/4.21
% 26.96/4.21 [77] BETA_NOT_AND : ~(member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_A3333) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))))
% 26.96/4.21 -> [78] ~member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_A3333)
% 26.96/4.21 -> [79] ~member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))))
% 26.96/4.21
% 26.96/4.21 [78] CLOSURE : =
% 26.96/4.21
% 26.96/4.21 [79] CLOSURE : =
% 26.96/4.21
% 26.96/4.21 [41] GAMMA_FORALL : ! [X10_10, A11_11] : ((member(X10_10, power_set(A11_11)) <=> subset(X10_10, A11_11)))
% 26.96/4.21 -> [49] (member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), power_set(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))) <=> subset(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))))
% 26.96/4.21
% 26.96/4.21 [49] BETA_EQUIV : (member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), power_set(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))) <=> subset(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))))
% 26.96/4.21 -> [52] ~member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), power_set(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))), ~subset(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))
% 26.96/4.21 -> [53] member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), power_set(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))), subset(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))
% 26.96/4.21
% 26.96/4.21 [52] Rewrite : ~subset(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))
% 26.96/4.21 -> [59] ~(member(skolem_X77(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))) => member(skolem_X77(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))))
% 26.96/4.21
% 26.96/4.21 [59] ALPHA_NOT_IMPLY : ~(member(skolem_X77(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))) => member(skolem_X77(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))))
% 26.96/4.21 -> [62] member(skolem_X77(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), ~member(skolem_X77(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))
% 26.96/4.21
% 26.96/4.21 [62] CLOSURE : ~member(skolem_X77(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))
% 26.96/4.21
% 26.96/4.21 [53] GAMMA_FORALL : ! [X18_18] : (~member(X18_18, empty_set))
% 26.96/4.21 -> [87] ~member(X18_4_1, empty_set)
% 26.96/4.21
% 26.96/4.21 [87] GAMMA_FORALL : ! [X22_22, A23_23] : ((member(X22_22, singleton(A23_23)) <=> =(X22_22, A23_23)))
% 26.96/4.21 -> [88] (member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), singleton(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))) <=> =(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))))
% 26.96/4.21
% 26.96/4.21 [88] BETA_EQUIV : (member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), singleton(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))) <=> =(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))))
% 26.96/4.21 -> [89] ~member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), singleton(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))), ~=(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))
% 26.96/4.21 -> [90] member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), singleton(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))), =(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))
% 26.96/4.21
% 26.96/4.21 [89] CLOSURE : ~=(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))
% 26.96/4.21
% 26.96/4.21 [90] GAMMA_NOT_EXISTS : ~? [Y29_29] : ((member(Y29_29, skolem_A3333) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), Y29_29)))
% 26.96/4.21 -> [91] ~(member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_A3333) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))))
% 26.96/4.21
% 26.96/4.21 [91] BETA_NOT_AND : ~(member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_A3333) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))))
% 26.96/4.21 -> [92] ~member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_A3333)
% 26.96/4.21 -> [93] ~member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))))
% 26.96/4.21
% 26.96/4.21 [93] CLOSURE : =
% 26.96/4.21
% 26.96/4.21 [92] GAMMA_NOT_EXISTS : ~? [Y29_29] : ((member(Y29_29, skolem_B3434) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), Y29_29)))
% 26.96/4.21 -> [94] ~(member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_B3434) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))))
% 26.96/4.22
% 26.96/4.22 [94] BETA_NOT_AND : ~(member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_B3434) & member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))))))
% 26.96/4.22 -> [95] ~member(skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))), skolem_B3434)
% 26.96/4.22 -> [96] ~member(skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434))), skolem_Y2929(union(skolem_A3333, skolem_B3434), skolem_X77(sum(union(skolem_A3333, skolem_B3434)), union(sum(skolem_A3333), sum(skolem_B3434)))))
% 26.96/4.22
% 26.96/4.22 [95] CLOSURE : =
% 26.96/4.22
% 26.96/4.22 [96] CLOSURE : =
% 26.96/4.22
% 26.96/4.22 % SZS output end Proof for theBenchmark.p
% 26.96/4.22 [3.884652s][1][Res] 1919 goroutines created
% 26.96/4.22 ==== Result ====
% 26.96/4.22 [3.884699s][1][Res] VALID
% 26.96/4.22 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------