TSTP Solution File: SET706+4 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET706+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n021.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 04:17:13 EDT 2022
% Result : Theorem 8.60s 1.64s
% Output : Proof 8.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET706+4 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n021.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 07:22:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000049s][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
% 8.60/1.64 % SZS output start Proof for theBenchmark.p
% 8.60/1.64 [0] ALPHA_AND : ((! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12))) & ! [X19_19] : (~member(X19_19, empty_set)) & ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))) & ~! [A34_34, B35_35, C36_36] : (((subset(C36_36, B35_35) & subset(B35_35, A34_34)) => equal_set(difference(A34_34, C36_36), union(difference(B35_35, C36_36), difference(A34_34, B35_35))))))
% 8.60/1.64 -> [1] (! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12))) & ! [X19_19] : (~member(X19_19, empty_set)) & ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))), ~! [A34_34, B35_35, C36_36] : (((subset(C36_36, B35_35) & subset(B35_35, A34_34)) => equal_set(difference(A34_34, C36_36), union(difference(B35_35, C36_36), difference(A34_34, B35_35)))))
% 8.60/1.64
% 8.60/1.64 [1] ALPHA_AND : (! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12))) & ! [X19_19] : (~member(X19_19, empty_set)) & ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24))))
% 8.60/1.64 -> [2] ! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12))), ! [X19_19] : (~member(X19_19, empty_set)), ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))
% 8.60/1.64
% 8.60/1.64 [2] DELTA_NOT_FORALL : ~! [A34_34, B35_35, C36_36] : (((subset(C36_36, B35_35) & subset(B35_35, A34_34)) => equal_set(difference(A34_34, C36_36), union(difference(B35_35, C36_36), difference(A34_34, B35_35)))))
% 8.60/1.64 -> [3] ~((subset(skolem_C3636, skolem_B3535) & subset(skolem_B3535, skolem_A3434)) => equal_set(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))))
% 8.60/1.64
% 8.60/1.64 [3] ALPHA_NOT_IMPLY : ~((subset(skolem_C3636, skolem_B3535) & subset(skolem_B3535, skolem_A3434)) => equal_set(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))))
% 8.60/1.64 -> [4] (subset(skolem_C3636, skolem_B3535) & subset(skolem_B3535, skolem_A3434)), ~equal_set(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)))
% 8.60/1.64
% 8.60/1.64 [4] Rewrite : ~equal_set(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)))
% 8.60/1.64 -> [5] ~(subset(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))) & subset(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)))
% 8.60/1.64
% 8.60/1.64 [5] ALPHA_AND : (subset(skolem_C3636, skolem_B3535) & subset(skolem_B3535, skolem_A3434))
% 8.60/1.64 -> [6] subset(skolem_C3636, skolem_B3535), subset(skolem_B3535, skolem_A3434)
% 8.60/1.64
% 8.60/1.64 [6] Rewrite : subset(skolem_C3636, skolem_B3535)
% 8.60/1.64 -> [7] ! [X8_8] : ((member(X8_8, skolem_C3636) => member(X8_8, skolem_B3535)))
% 8.60/1.64
% 8.60/1.64 [7] Rewrite : subset(skolem_B3535, skolem_A3434)
% 8.60/1.64 -> [8] ! [X8_8] : ((member(X8_8, skolem_B3535) => member(X8_8, skolem_A3434)))
% 8.60/1.64
% 8.60/1.64 [8] BETA_NOT_AND : ~(subset(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))) & subset(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)))
% 8.60/1.64 -> [9] ~subset(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)))
% 8.60/1.64 -> [10] ~subset(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636))
% 8.60/1.64
% 8.60/1.64 [9] Rewrite : ~subset(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)))
% 8.60/1.64 -> [11] ~(member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), difference(skolem_A3434, skolem_C3636)) => member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))))
% 8.60/1.64
% 8.60/1.64 [11] ALPHA_NOT_IMPLY : ~(member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), difference(skolem_A3434, skolem_C3636)) => member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))))
% 8.60/1.64 -> [13] member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), difference(skolem_A3434, skolem_C3636)), ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)))
% 8.60/1.64
% 8.60/1.64 [13] Rewrite : member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), difference(skolem_A3434, skolem_C3636))
% 8.60/1.64 -> [15] (member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_A3434) & ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_C3636))
% 8.60/1.64
% 8.60/1.64 [15] Rewrite : ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)))
% 8.60/1.64 -> [17] ~(member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), difference(skolem_B3535, skolem_C3636)) | member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), difference(skolem_A3434, skolem_B3535)))
% 8.60/1.64
% 8.60/1.64 [17] ALPHA_AND : (member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_A3434) & ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_C3636))
% 8.60/1.64 -> [18] member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_A3434), ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_C3636)
% 8.60/1.64
% 8.60/1.64 [18] ALPHA_NOT_OR : ~(member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), difference(skolem_B3535, skolem_C3636)) | member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), difference(skolem_A3434, skolem_B3535)))
% 8.60/1.64 -> [24] ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), difference(skolem_B3535, skolem_C3636)), ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), difference(skolem_A3434, skolem_B3535))
% 8.60/1.64
% 8.60/1.64 [24] Rewrite : ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), difference(skolem_B3535, skolem_C3636))
% 8.60/1.64 -> [27] ~(member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_B3535) & ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_C3636))
% 8.60/1.64
% 8.60/1.64 [27] Rewrite : ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), difference(skolem_A3434, skolem_B3535))
% 8.60/1.64 -> [33] ~(member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_A3434) & ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_B3535))
% 8.60/1.64
% 8.60/1.64 [33] BETA_NOT_AND : ~(member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_B3535) & ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_C3636))
% 8.60/1.64 -> [35] ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_B3535)
% 8.60/1.64 -> [36] ~~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_C3636)
% 8.60/1.64
% 8.60/1.64 [36] ALPHA_NOT_NOT : ~~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_C3636)
% 8.60/1.64 -> [38] member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_C3636)
% 8.60/1.64
% 8.60/1.64 [38] CLOSURE : member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_C3636)
% 8.60/1.64
% 8.60/1.64 [35] BETA_NOT_AND : ~(member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_A3434) & ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_B3535))
% 8.60/1.64 -> [44] ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_A3434)
% 8.60/1.64 -> [45] ~~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_B3535)
% 8.60/1.64
% 8.60/1.64 [44] CLOSURE : ~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_A3434)
% 8.60/1.64
% 8.60/1.64 [45] ALPHA_NOT_NOT : ~~member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_B3535)
% 8.60/1.64 -> [47] member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_B3535)
% 8.60/1.64
% 8.60/1.64 [47] CLOSURE : member(skolem_X88(difference(skolem_A3434, skolem_C3636), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), skolem_B3535)
% 8.60/1.64
% 8.60/1.64 [10] Rewrite : ~subset(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636))
% 8.60/1.64 -> [12] ~(member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))) => member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), difference(skolem_A3434, skolem_C3636)))
% 8.60/1.64
% 8.60/1.64 [12] ALPHA_NOT_IMPLY : ~(member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))) => member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), difference(skolem_A3434, skolem_C3636)))
% 8.60/1.64 -> [14] member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535))), ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), difference(skolem_A3434, skolem_C3636))
% 8.60/1.64
% 8.60/1.64 [14] Rewrite : member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)))
% 8.60/1.64 -> [16] (member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), difference(skolem_B3535, skolem_C3636)) | member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), difference(skolem_A3434, skolem_B3535)))
% 8.60/1.64
% 8.60/1.64 [16] Rewrite : ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), difference(skolem_A3434, skolem_C3636))
% 8.60/1.64 -> [19] ~(member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434) & ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636))
% 8.60/1.64
% 8.60/1.64 [19] BETA_OR : (member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), difference(skolem_B3535, skolem_C3636)) | member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), difference(skolem_A3434, skolem_B3535)))
% 8.60/1.64 -> [20] member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), difference(skolem_B3535, skolem_C3636))
% 8.60/1.64 -> [21] member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), difference(skolem_A3434, skolem_B3535))
% 8.60/1.64
% 8.60/1.64 [21] Rewrite : member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), difference(skolem_A3434, skolem_B3535))
% 8.60/1.64 -> [23] (member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434) & ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535))
% 8.60/1.64
% 8.60/1.64 [23] ALPHA_AND : (member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434) & ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535))
% 8.60/1.64 -> [26] member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434), ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535)
% 8.60/1.64
% 8.60/1.64 [26] BETA_NOT_AND : ~(member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434) & ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636))
% 8.60/1.64 -> [28] ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434)
% 8.60/1.64 -> [29] ~~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636)
% 8.60/1.64
% 8.60/1.64 [28] CLOSURE : ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434)
% 8.60/1.64
% 8.60/1.64 [29] ALPHA_NOT_NOT : ~~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636)
% 8.60/1.64 -> [32] member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636)
% 8.60/1.64
% 8.60/1.64 [32] GAMMA_FORALL : ! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12)))
% 8.60/1.64 -> [39] (member(X11_1_0, power_set(X11_1_0)) <=> subset(X11_1_0, X11_1_0))
% 8.60/1.64
% 8.60/1.64 [39] BETA_EQUIV : (member(X11_1_0, power_set(X11_1_0)) <=> subset(X11_1_0, X11_1_0))
% 8.60/1.64 -> [42] ~member(X11_1_0, power_set(X11_1_0)), ~subset(X11_1_0, X11_1_0)
% 8.60/1.64 -> [43] member(X11_1_0, power_set(X11_1_0)), subset(X11_1_0, X11_1_0)
% 8.60/1.64
% 8.60/1.64 [42] Rewrite : ~subset(X11_1_0, X11_1_0)
% 8.60/1.64 -> [51] ~(member(skolem_X88(X11_1_0, X11_1_0), X11_1_0) => member(skolem_X88(X11_1_0, X11_1_0), X11_1_0))
% 8.60/1.64
% 8.60/1.64 [51] ALPHA_NOT_IMPLY : ~(member(skolem_X88(X11_1_0, X11_1_0), X11_1_0) => member(skolem_X88(X11_1_0, X11_1_0), X11_1_0))
% 8.60/1.64 -> [54] member(skolem_X88(X11_1_0, X11_1_0), X11_1_0), ~member(skolem_X88(X11_1_0, X11_1_0), X11_1_0)
% 8.60/1.64
% 8.60/1.64 [54] CLOSURE : ~member(skolem_X88(X11_1_0, X11_1_0), X11_1_0)
% 8.60/1.64
% 8.60/1.64 [43] Rewrite : subset(X11_1_0, X11_1_0)
% 8.60/1.64 -> [49] ! [X8_8] : ((member(X8_8, X11_1_0) => member(X8_8, X11_1_0)))
% 8.60/1.64
% 8.60/1.64 [49] GAMMA_FORALL : ! [X19_19] : (~member(X19_19, empty_set))
% 8.60/1.64 -> [52] ~member(X19_0_1, empty_set)
% 8.60/1.64
% 8.60/1.64 [52] GAMMA_FORALL : ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))
% 8.60/1.64 -> [55] (member(A24_0_2, singleton(A24_0_2)) <=> =(A24_0_2, A24_0_2))
% 8.60/1.64
% 8.60/1.64 [55] BETA_EQUIV : (member(A24_0_2, singleton(A24_0_2)) <=> =(A24_0_2, A24_0_2))
% 8.60/1.64 -> [59] ~member(A24_0_2, singleton(A24_0_2)), ~=(A24_0_2, A24_0_2)
% 8.60/1.64 -> [60] member(A24_0_2, singleton(A24_0_2)), =(A24_0_2, A24_0_2)
% 8.60/1.64
% 8.60/1.64 [59] CLOSURE : ~=(A24_0_2, A24_0_2)
% 8.60/1.64
% 8.60/1.64 [60] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_C3636) => member(X8_8, skolem_B3535)))
% 8.60/1.64 -> [61] (member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636) => member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535))
% 8.60/1.64
% 8.60/1.64 [61] BETA_IMPLY : (member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636) => member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535))
% 8.60/1.64 -> [62] ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636)
% 8.60/1.64 -> [63] member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535)
% 8.60/1.64
% 8.60/1.64 [63] CLOSURE : =
% 8.60/1.64
% 8.60/1.64 [62] CLOSURE : =
% 8.60/1.64
% 8.60/1.64 [20] Rewrite : member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), difference(skolem_B3535, skolem_C3636))
% 8.60/1.64 -> [22] (member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535) & ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636))
% 8.60/1.64
% 8.60/1.64 [22] ALPHA_AND : (member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535) & ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636))
% 8.60/1.64 -> [25] member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535), ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636)
% 8.60/1.64
% 8.60/1.64 [25] BETA_NOT_AND : ~(member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434) & ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636))
% 8.60/1.64 -> [30] ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434)
% 8.60/1.64 -> [31] ~~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636)
% 8.60/1.64
% 8.60/1.64 [31] ALPHA_NOT_NOT : ~~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636)
% 8.60/1.64 -> [34] member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636)
% 8.60/1.64
% 8.60/1.64 [34] CLOSURE : member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_C3636)
% 8.60/1.64
% 8.60/1.64 [30] GAMMA_FORALL : ! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12)))
% 8.60/1.64 -> [37] (member(X11_0_0, power_set(X11_0_0)) <=> subset(X11_0_0, X11_0_0))
% 8.60/1.64
% 8.60/1.64 [37] BETA_EQUIV : (member(X11_0_0, power_set(X11_0_0)) <=> subset(X11_0_0, X11_0_0))
% 8.60/1.64 -> [40] ~member(X11_0_0, power_set(X11_0_0)), ~subset(X11_0_0, X11_0_0)
% 8.60/1.64 -> [41] member(X11_0_0, power_set(X11_0_0)), subset(X11_0_0, X11_0_0)
% 8.60/1.64
% 8.60/1.64 [40] Rewrite : ~subset(X11_0_0, X11_0_0)
% 8.60/1.64 -> [46] ~(member(skolem_X88(X11_0_0, X11_0_0), X11_0_0) => member(skolem_X88(X11_0_0, X11_0_0), X11_0_0))
% 8.60/1.64
% 8.60/1.64 [46] ALPHA_NOT_IMPLY : ~(member(skolem_X88(X11_0_0, X11_0_0), X11_0_0) => member(skolem_X88(X11_0_0, X11_0_0), X11_0_0))
% 8.60/1.64 -> [48] member(skolem_X88(X11_0_0, X11_0_0), X11_0_0), ~member(skolem_X88(X11_0_0, X11_0_0), X11_0_0)
% 8.60/1.64
% 8.60/1.64 [48] CLOSURE : ~member(skolem_X88(X11_0_0, X11_0_0), X11_0_0)
% 8.60/1.64
% 8.60/1.64 [41] Rewrite : subset(X11_0_0, X11_0_0)
% 8.60/1.64 -> [50] ! [X8_8] : ((member(X8_8, X11_0_0) => member(X8_8, X11_0_0)))
% 8.60/1.64
% 8.60/1.64 [50] GAMMA_FORALL : ! [X19_19] : (~member(X19_19, empty_set))
% 8.60/1.64 -> [53] ~member(X19_1_1, empty_set)
% 8.60/1.64
% 8.60/1.64 [53] GAMMA_FORALL : ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))
% 8.60/1.64 -> [56] (member(A24_1_2, singleton(A24_1_2)) <=> =(A24_1_2, A24_1_2))
% 8.60/1.64
% 8.60/1.64 [56] BETA_EQUIV : (member(A24_1_2, singleton(A24_1_2)) <=> =(A24_1_2, A24_1_2))
% 8.60/1.64 -> [57] ~member(A24_1_2, singleton(A24_1_2)), ~=(A24_1_2, A24_1_2)
% 8.60/1.64 -> [58] member(A24_1_2, singleton(A24_1_2)), =(A24_1_2, A24_1_2)
% 8.60/1.64
% 8.60/1.64 [57] CLOSURE : ~=(A24_1_2, A24_1_2)
% 8.60/1.64
% 8.60/1.64 [58] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_C3636) => member(X8_8, skolem_B3535)))
% 8.60/1.64 -> [64] (member(X8_1_3, skolem_C3636) => member(X8_1_3, skolem_B3535))
% 8.60/1.64
% 8.60/1.64 [64] BETA_IMPLY : (member(X8_1_3, skolem_C3636) => member(X8_1_3, skolem_B3535))
% 8.60/1.64 -> [65] ~member(X8_1_3, skolem_C3636)
% 8.60/1.64 -> [66] member(X8_1_3, skolem_B3535)
% 8.60/1.64
% 8.60/1.64 [65] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_B3535) => member(X8_8, skolem_A3434)))
% 8.60/1.64 -> [67] (member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535) => member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434))
% 8.60/1.64
% 8.60/1.64 [67] BETA_IMPLY : (member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535) => member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434))
% 8.60/1.64 -> [68] ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535)
% 8.60/1.64 -> [69] member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434)
% 8.60/1.64
% 8.60/1.64 [68] CLOSURE : =
% 8.60/1.64
% 8.60/1.64 [69] CLOSURE : =
% 8.60/1.64
% 8.60/1.64 [66] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_B3535) => member(X8_8, skolem_A3434)))
% 8.60/1.64 -> [70] (member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535) => member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434))
% 8.60/1.64
% 8.60/1.64 [70] BETA_IMPLY : (member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535) => member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434))
% 8.60/1.64 -> [71] ~member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_B3535)
% 8.60/1.64 -> [72] member(skolem_X88(union(difference(skolem_B3535, skolem_C3636), difference(skolem_A3434, skolem_B3535)), difference(skolem_A3434, skolem_C3636)), skolem_A3434)
% 8.60/1.64
% 8.60/1.64 [71] CLOSURE : =
% 8.60/1.64
% 8.60/1.64 [72] CLOSURE : =
% 8.60/1.64
% 8.60/1.64 % SZS output end Proof for theBenchmark.p
% 8.60/1.64 [1.295443s][1][Res] 1206 goroutines created
% 8.60/1.64 ==== Result ====
% 8.60/1.64 [1.295469s][1][Res] VALID
% 8.60/1.64 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------