TSTP Solution File: SET169+4 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET169+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 04:15:40 EDT 2022
% Result : Theorem 0.18s 0.40s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET169+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Sep 3 03:01:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Conjecture not found
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 15
% 0.12/0.34 Launch Gotab with destructive = true
% 0.18/0.40 % SZS output start Proof for theBenchmark.p
% 0.18/0.40 [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(intersection(A34_34, union(B35_35, C36_36)), union(intersection(A34_34, B35_35), intersection(A34_34, C36_36)))))
% 0.18/0.40 -> [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(intersection(A34_34, union(B35_35, C36_36)), union(intersection(A34_34, B35_35), intersection(A34_34, C36_36))))
% 0.18/0.40
% 0.18/0.40 [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))))
% 0.18/0.40 -> [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)))
% 0.18/0.40
% 0.18/0.40 [2] DELTA_NOT_FORALL : ~! [A34_34, B35_35, C36_36] : (equal_set(intersection(A34_34, union(B35_35, C36_36)), union(intersection(A34_34, B35_35), intersection(A34_34, C36_36))))
% 0.18/0.40 -> [3] ~equal_set(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)))
% 0.18/0.40
% 0.18/0.40 [3] Rewrite : ~equal_set(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)))
% 0.18/0.40 -> [4] ~(subset(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))) & subset(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))))
% 0.18/0.40
% 0.18/0.40 [4] BETA_NOT_AND : ~(subset(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))) & subset(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))))
% 0.18/0.40 -> [5] ~subset(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)))
% 0.18/0.40 -> [6] ~subset(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)))
% 0.18/0.40
% 0.18/0.40 [6] Rewrite : ~subset(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)))
% 0.18/0.40 -> [7] ~(member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))) => member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))))
% 0.18/0.40
% 0.18/0.40 [7] ALPHA_NOT_IMPLY : ~(member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))) => member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))))
% 0.18/0.40 -> [10] member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)))
% 0.18/0.40
% 0.18/0.40 [10] Rewrite : member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)))
% 0.18/0.40 -> [12] (member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), intersection(skolem_A3434, skolem_B3535)) | member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), intersection(skolem_A3434, skolem_C3636)))
% 0.18/0.40
% 0.18/0.40 [12] Rewrite : ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)))
% 0.18/0.40 -> [14] ~(member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434) & member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_B3535, skolem_C3636)))
% 0.18/0.40
% 0.18/0.40 [14] BETA_OR : (member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), intersection(skolem_A3434, skolem_B3535)) | member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), intersection(skolem_A3434, skolem_C3636)))
% 0.18/0.40 -> [16] member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), intersection(skolem_A3434, skolem_B3535))
% 0.18/0.40 -> [17] member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), intersection(skolem_A3434, skolem_C3636))
% 0.18/0.40
% 0.18/0.40 [16] Rewrite : member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), intersection(skolem_A3434, skolem_B3535))
% 0.18/0.40 -> [19] (member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434) & member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535))
% 0.18/0.40
% 0.18/0.40 [19] ALPHA_AND : (member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434) & member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535))
% 0.18/0.40 -> [22] member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434), member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535)
% 0.18/0.40
% 0.18/0.40 [22] BETA_NOT_AND : ~(member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434) & member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_B3535, skolem_C3636)))
% 0.18/0.40 -> [25] ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434)
% 0.18/0.40 -> [26] ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_B3535, skolem_C3636))
% 0.18/0.40
% 0.18/0.40 [25] CLOSURE : ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434)
% 0.18/0.40
% 0.18/0.40 [26] Rewrite : ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_B3535, skolem_C3636))
% 0.18/0.40 -> [30] ~(member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535) | member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636))
% 0.18/0.40
% 0.18/0.40 [30] ALPHA_NOT_OR : ~(member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535) | member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636))
% 0.18/0.40 -> [34] ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535), ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636)
% 0.18/0.40
% 0.18/0.40 [34] CLOSURE : ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535)
% 0.18/0.40
% 0.18/0.40 [17] Rewrite : member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), intersection(skolem_A3434, skolem_C3636))
% 0.18/0.40 -> [18] (member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434) & member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636))
% 0.18/0.40
% 0.18/0.40 [18] ALPHA_AND : (member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434) & member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636))
% 0.18/0.40 -> [21] member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434), member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636)
% 0.18/0.40
% 0.18/0.40 [21] BETA_NOT_AND : ~(member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434) & member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_B3535, skolem_C3636)))
% 0.18/0.40 -> [27] ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434)
% 0.18/0.40 -> [28] ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_B3535, skolem_C3636))
% 0.18/0.40
% 0.18/0.40 [27] CLOSURE : ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_A3434)
% 0.18/0.40
% 0.18/0.40 [28] Rewrite : ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), union(skolem_B3535, skolem_C3636))
% 0.18/0.40 -> [31] ~(member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535) | member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636))
% 0.18/0.40
% 0.18/0.40 [31] ALPHA_NOT_OR : ~(member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535) | member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636))
% 0.18/0.40 -> [35] ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_B3535), ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636)
% 0.18/0.40
% 0.18/0.40 [35] CLOSURE : ~member(skolem_X88(union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), skolem_C3636)
% 0.18/0.40
% 0.18/0.40 [5] Rewrite : ~subset(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)))
% 0.18/0.40 -> [8] ~(member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))) => member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))))
% 0.18/0.40
% 0.18/0.40 [8] ALPHA_NOT_IMPLY : ~(member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))) => member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))))
% 0.18/0.40 -> [9] member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636))), ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)))
% 0.18/0.40
% 0.18/0.40 [9] Rewrite : member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)))
% 0.18/0.40 -> [11] (member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434) & member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), union(skolem_B3535, skolem_C3636)))
% 0.18/0.40
% 0.18/0.40 [11] Rewrite : ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636)))
% 0.18/0.40 -> [13] ~(member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), intersection(skolem_A3434, skolem_B3535)) | member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), intersection(skolem_A3434, skolem_C3636)))
% 0.18/0.40
% 0.18/0.40 [13] ALPHA_AND : (member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434) & member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), union(skolem_B3535, skolem_C3636)))
% 0.18/0.40 -> [15] member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434), member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), union(skolem_B3535, skolem_C3636))
% 0.18/0.40
% 0.18/0.40 [15] Rewrite : member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), union(skolem_B3535, skolem_C3636))
% 0.18/0.40 -> [20] (member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_B3535) | member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_C3636))
% 0.18/0.40
% 0.18/0.40 [20] ALPHA_NOT_OR : ~(member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), intersection(skolem_A3434, skolem_B3535)) | member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), intersection(skolem_A3434, skolem_C3636)))
% 0.18/0.40 -> [23] ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), intersection(skolem_A3434, skolem_B3535)), ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), intersection(skolem_A3434, skolem_C3636))
% 0.18/0.40
% 0.18/0.40 [23] Rewrite : ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), intersection(skolem_A3434, skolem_B3535))
% 0.18/0.40 -> [24] ~(member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434) & member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_B3535))
% 0.18/0.40
% 0.18/0.40 [24] Rewrite : ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), intersection(skolem_A3434, skolem_C3636))
% 0.18/0.40 -> [29] ~(member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434) & member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_C3636))
% 0.18/0.40
% 0.18/0.40 [29] BETA_OR : (member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_B3535) | member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_C3636))
% 0.18/0.40 -> [32] member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_B3535)
% 0.18/0.40 -> [33] member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_C3636)
% 0.18/0.40
% 0.18/0.40 [32] BETA_NOT_AND : ~(member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434) & member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_B3535))
% 0.18/0.40 -> [36] ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434)
% 0.18/0.40 -> [37] ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_B3535)
% 0.18/0.40
% 0.18/0.40 [36] CLOSURE : ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434)
% 0.18/0.40
% 0.18/0.40 [37] CLOSURE : ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_B3535)
% 0.18/0.40
% 0.18/0.40 [33] BETA_NOT_AND : ~(member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434) & member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_B3535))
% 0.18/0.40 -> [38] ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434)
% 0.18/0.40 -> [39] ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_B3535)
% 0.18/0.40
% 0.18/0.40 [38] CLOSURE : ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434)
% 0.18/0.40
% 0.18/0.40 [39] BETA_NOT_AND : ~(member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434) & member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_C3636))
% 0.18/0.40 -> [40] ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434)
% 0.18/0.40 -> [41] ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_C3636)
% 0.18/0.40
% 0.18/0.40 [40] CLOSURE : ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_A3434)
% 0.18/0.40
% 0.18/0.40 [41] CLOSURE : ~member(skolem_X88(intersection(skolem_A3434, union(skolem_B3535, skolem_C3636)), union(intersection(skolem_A3434, skolem_B3535), intersection(skolem_A3434, skolem_C3636))), skolem_C3636)
% 0.18/0.40
% 0.18/0.40 % SZS output end Proof for theBenchmark.p
% 0.18/0.40 [0.064858s][1][Res] 237 goroutines created
% 0.18/0.40 ==== Result ====
% 0.18/0.40 [0.064913s][1][Res] VALID
% 0.18/0.40 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------