TSTP Solution File: SET159+4 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET159+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n013.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 04:15:38 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET159+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n013.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 02:56:47 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 [0.000037s][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
% 0.13/0.39 % SZS output start Proof for theBenchmark.p
% 0.13/0.39 [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] : (equal_set(union(union(A34_34, B35_35), C36_36), union(A34_34, union(B35_35, C36_36)))))
% 0.13/0.39 -> [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] : (equal_set(union(union(A34_34, B35_35), C36_36), union(A34_34, union(B35_35, C36_36))))
% 0.13/0.39
% 0.13/0.39 [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))))
% 0.13/0.39 -> [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)))
% 0.13/0.39
% 0.13/0.39 [2] DELTA_NOT_FORALL : ~! [A34_34, B35_35, C36_36] : (equal_set(union(union(A34_34, B35_35), C36_36), union(A34_34, union(B35_35, C36_36))))
% 0.13/0.39 -> [3] ~equal_set(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636)))
% 0.13/0.39
% 0.13/0.39 [3] Rewrite : ~equal_set(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636)))
% 0.13/0.39 -> [4] ~(subset(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))) & subset(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)))
% 0.13/0.39
% 0.13/0.39 [4] BETA_NOT_AND : ~(subset(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))) & subset(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)))
% 0.13/0.39 -> [5] ~subset(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636)))
% 0.13/0.39 -> [6] ~subset(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636))
% 0.13/0.39
% 0.13/0.39 [5] Rewrite : ~subset(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636)))
% 0.13/0.39 -> [8] ~(member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(union(skolem_A3434, skolem_B3535), skolem_C3636)) => member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_A3434, union(skolem_B3535, skolem_C3636))))
% 0.13/0.39
% 0.13/0.39 [8] ALPHA_NOT_IMPLY : ~(member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(union(skolem_A3434, skolem_B3535), skolem_C3636)) => member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_A3434, union(skolem_B3535, skolem_C3636))))
% 0.13/0.39 -> [10] member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), ~member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_A3434, union(skolem_B3535, skolem_C3636)))
% 0.13/0.39
% 0.13/0.39 [10] Rewrite : member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(union(skolem_A3434, skolem_B3535), skolem_C3636))
% 0.13/0.39 -> [12] (member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_A3434, skolem_B3535)) | member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636))
% 0.13/0.39
% 0.13/0.39 [12] Rewrite : ~member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_A3434, union(skolem_B3535, skolem_C3636)))
% 0.13/0.39 -> [13] ~(member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434) | member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_B3535, skolem_C3636)))
% 0.13/0.39
% 0.13/0.39 [13] ALPHA_NOT_OR : ~(member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434) | member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_B3535, skolem_C3636)))
% 0.13/0.39 -> [15] ~member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434), ~member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_B3535, skolem_C3636))
% 0.13/0.39
% 0.13/0.39 [15] Rewrite : ~member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_B3535, skolem_C3636))
% 0.13/0.39 -> [18] ~(member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535) | member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636))
% 0.13/0.39
% 0.13/0.39 [18] ALPHA_NOT_OR : ~(member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535) | member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636))
% 0.13/0.39 -> [19] ~member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535), ~member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636)
% 0.13/0.39
% 0.13/0.39 [19] BETA_OR : (member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_A3434, skolem_B3535)) | member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636))
% 0.13/0.39 -> [23] member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_A3434, skolem_B3535))
% 0.13/0.39 -> [24] member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636)
% 0.13/0.39
% 0.13/0.39 [24] CLOSURE : member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636)
% 0.13/0.39
% 0.13/0.39 [23] Rewrite : member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_A3434, skolem_B3535))
% 0.13/0.39 -> [26] (member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434) | member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535))
% 0.13/0.39
% 0.13/0.39 [26] BETA_OR : (member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434) | member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535))
% 0.13/0.39 -> [29] member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434)
% 0.13/0.39 -> [30] member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535)
% 0.13/0.39
% 0.13/0.39 [29] CLOSURE : member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434)
% 0.13/0.39
% 0.13/0.39 [30] CLOSURE : member(skolem_X88(union(union(skolem_A3434, skolem_B3535), skolem_C3636), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535)
% 0.13/0.39
% 0.13/0.39 [6] Rewrite : ~subset(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636))
% 0.13/0.39 -> [7] ~(member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(skolem_A3434, union(skolem_B3535, skolem_C3636))) => member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)))
% 0.13/0.39
% 0.13/0.39 [7] ALPHA_NOT_IMPLY : ~(member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(skolem_A3434, union(skolem_B3535, skolem_C3636))) => member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)))
% 0.13/0.39 -> [9] member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(skolem_A3434, union(skolem_B3535, skolem_C3636))), ~member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636))
% 0.13/0.39
% 0.13/0.39 [9] Rewrite : member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(skolem_A3434, union(skolem_B3535, skolem_C3636)))
% 0.13/0.39 -> [11] (member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_A3434) | member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(skolem_B3535, skolem_C3636)))
% 0.13/0.39
% 0.13/0.39 [11] Rewrite : ~member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636))
% 0.13/0.39 -> [14] ~(member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(skolem_A3434, skolem_B3535)) | member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_C3636))
% 0.13/0.39
% 0.13/0.39 [14] ALPHA_NOT_OR : ~(member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(skolem_A3434, skolem_B3535)) | member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_C3636))
% 0.13/0.39 -> [16] ~member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(skolem_A3434, skolem_B3535)), ~member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_C3636)
% 0.13/0.39
% 0.13/0.39 [16] Rewrite : ~member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(skolem_A3434, skolem_B3535))
% 0.13/0.39 -> [17] ~(member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_A3434) | member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_B3535))
% 0.13/0.39
% 0.13/0.39 [17] ALPHA_NOT_OR : ~(member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_A3434) | member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_B3535))
% 0.13/0.39 -> [20] ~member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_A3434), ~member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_B3535)
% 0.13/0.39
% 0.13/0.39 [20] BETA_OR : (member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_A3434) | member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(skolem_B3535, skolem_C3636)))
% 0.13/0.39 -> [21] member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_A3434)
% 0.13/0.39 -> [22] member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(skolem_B3535, skolem_C3636))
% 0.13/0.39
% 0.13/0.39 [21] CLOSURE : member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_A3434)
% 0.13/0.39
% 0.13/0.39 [22] Rewrite : member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), union(skolem_B3535, skolem_C3636))
% 0.13/0.39 -> [25] (member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_B3535) | member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_C3636))
% 0.13/0.39
% 0.13/0.39 [25] BETA_OR : (member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_B3535) | member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_C3636))
% 0.13/0.39 -> [27] member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_B3535)
% 0.13/0.39 -> [28] member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_C3636)
% 0.13/0.39
% 0.13/0.39 [27] CLOSURE : member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_B3535)
% 0.13/0.39
% 0.13/0.39 [28] CLOSURE : member(skolem_X88(union(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(union(skolem_A3434, skolem_B3535), skolem_C3636)), skolem_C3636)
% 0.13/0.39
% 0.13/0.39 % SZS output end Proof for theBenchmark.p
% 0.13/0.39 [0.047647s][1][Res] 181 goroutines created
% 0.13/0.39 ==== Result ====
% 0.13/0.39 [0.047681s][1][Res] VALID
% 0.13/0.39 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------