TSTP Solution File: SET144+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET144+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n024.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 04:15:34 EDT 2022
% Result : Theorem 19.54s 3.08s
% Output : Proof 19.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET144+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n024.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 02:55:18 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 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 11
% 0.13/0.34 Launch Gotab with destructive = true
% 19.54/3.08 % SZS output start Proof for theBenchmark.p
% 19.54/3.08 [0] ALPHA_AND : (! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> (subset(B12_12, C13_13) & subset(C13_13, B12_12)))) & ! [B14_14, C15_15] : (=(union(B14_14, C15_15), union(C15_15, B14_14))) & ! [B16_16, C17_17] : (=(intersection(B16_16, C17_17), intersection(C17_17, B16_16))) & ! [B18_18] : (subset(B18_18, B18_18)) & ! [B19_19, C20_20] : ((=(B19_19, C20_20) <=> ! [D21_21] : ((member(D21_21, B19_19) <=> member(D21_21, C20_20))))) & ~! [B22_22, C23_23, D24_24] : ((subset(B22_22, C23_23) => =(union(B22_22, intersection(D24_24, C23_23)), intersection(union(B22_22, D24_24), C23_23)))))
% 19.54/3.08 -> [1] ! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> (subset(B12_12, C13_13) & subset(C13_13, B12_12)))), ! [B14_14, C15_15] : (=(union(B14_14, C15_15), union(C15_15, B14_14))), ! [B16_16, C17_17] : (=(intersection(B16_16, C17_17), intersection(C17_17, B16_16))), ! [B18_18] : (subset(B18_18, B18_18)), ! [B19_19, C20_20] : ((=(B19_19, C20_20) <=> ! [D21_21] : ((member(D21_21, B19_19) <=> member(D21_21, C20_20))))), ~! [B22_22, C23_23, D24_24] : ((subset(B22_22, C23_23) => =(union(B22_22, intersection(D24_24, C23_23)), intersection(union(B22_22, D24_24), C23_23))))
% 19.54/3.08
% 19.54/3.08 [1] DELTA_NOT_FORALL : ~! [B22_22, C23_23, D24_24] : ((subset(B22_22, C23_23) => =(union(B22_22, intersection(D24_24, C23_23)), intersection(union(B22_22, D24_24), C23_23))))
% 19.54/3.08 -> [2] ~(subset(skolem_B2222, skolem_C2323) => =(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)))
% 19.54/3.08
% 19.54/3.08 [2] ALPHA_NOT_IMPLY : ~(subset(skolem_B2222, skolem_C2323) => =(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)))
% 19.54/3.08 -> [3] subset(skolem_B2222, skolem_C2323), ~=(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323))
% 19.54/3.08
% 19.54/3.08 [3] Rewrite : subset(skolem_B2222, skolem_C2323)
% 19.54/3.08 -> [4] ! [D11_11] : ((member(D11_11, skolem_B2222) => member(D11_11, skolem_C2323)))
% 19.54/3.08
% 19.54/3.08 [4] GAMMA_FORALL : ! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> (subset(B12_12, C13_13) & subset(C13_13, B12_12))))
% 19.54/3.08 -> [5] (=(C13_0_0, C13_0_0) <=> (subset(C13_0_0, C13_0_0) & subset(C13_0_0, C13_0_0)))
% 19.54/3.08
% 19.54/3.08 [5] BETA_EQUIV : (=(C13_0_0, C13_0_0) <=> (subset(C13_0_0, C13_0_0) & subset(C13_0_0, C13_0_0)))
% 19.54/3.08 -> [6] ~=(C13_0_0, C13_0_0), ~(subset(C13_0_0, C13_0_0) & subset(C13_0_0, C13_0_0))
% 19.54/3.08 -> [7] =(C13_0_0, C13_0_0), (subset(C13_0_0, C13_0_0) & subset(C13_0_0, C13_0_0))
% 19.54/3.08
% 19.54/3.08 [6] CLOSURE : ~=(C13_0_0, C13_0_0)
% 19.54/3.08
% 19.54/3.08 [8] Rewrite : subset(C13_0_0, C13_0_0)
% 19.54/3.08 -> [9] ! [D11_11] : ((member(D11_11, C13_0_0) => member(D11_11, C13_0_0)))
% 19.54/3.08
% 19.54/3.08 [9] GAMMA_FORALL : ! [B14_14, C15_15] : (=(union(B14_14, C15_15), union(C15_15, B14_14)))
% 19.54/3.08 -> [10] =(union(B14_0_1, C15_0_1), union(C15_0_1, B14_0_1))
% 19.54/3.08
% 19.54/3.08 [10] GAMMA_FORALL : ! [B16_16, C17_17] : (=(intersection(B16_16, C17_17), intersection(C17_17, B16_16)))
% 19.54/3.08 -> [11] =(intersection(B16_0_2, C17_0_2), intersection(C17_0_2, B16_0_2))
% 19.54/3.08
% 19.54/3.08 [11] GAMMA_FORALL : ! [B18_18] : (subset(B18_18, B18_18))
% 19.54/3.08 -> [12] subset(B18_0_3, B18_0_3)
% 19.54/3.08
% 19.54/3.08 [12] Rewrite : subset(B18_0_3, B18_0_3)
% 19.54/3.08 -> [13] ! [D11_11] : ((member(D11_11, B18_0_3) => member(D11_11, B18_0_3)))
% 19.54/3.08
% 19.54/3.08 [13] GAMMA_FORALL : ! [B19_19, C20_20] : ((=(B19_19, C20_20) <=> ! [D21_21] : ((member(D21_21, B19_19) <=> member(D21_21, C20_20)))))
% 19.54/3.08 -> [14] (=(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)) <=> ! [D21_21] : ((member(D21_21, union(skolem_B2222, intersection(skolem_D2424, skolem_C2323))) <=> member(D21_21, intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)))))
% 19.54/3.08
% 19.54/3.08 [14] BETA_EQUIV : (=(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)) <=> ! [D21_21] : ((member(D21_21, union(skolem_B2222, intersection(skolem_D2424, skolem_C2323))) <=> member(D21_21, intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)))))
% 19.54/3.08 -> [15] ~=(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), ~! [D21_21] : ((member(D21_21, union(skolem_B2222, intersection(skolem_D2424, skolem_C2323))) <=> member(D21_21, intersection(union(skolem_B2222, skolem_D2424), skolem_C2323))))
% 19.54/3.08 -> [16] =(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), ! [D21_21] : ((member(D21_21, union(skolem_B2222, intersection(skolem_D2424, skolem_C2323))) <=> member(D21_21, intersection(union(skolem_B2222, skolem_D2424), skolem_C2323))))
% 19.54/3.08
% 19.54/3.08 [16] CLOSURE : =
% 19.54/3.08
% 19.54/3.08 [17] BETA_NOT_EQUIV : ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, intersection(skolem_D2424, skolem_C2323))) <=> member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)))
% 19.54/3.08 -> [18] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, intersection(skolem_D2424, skolem_C2323))), member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323))
% 19.54/3.08 -> [19] member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, intersection(skolem_D2424, skolem_C2323))), ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323))
% 19.54/3.08
% 19.54/3.08 [18] Rewrite : ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)))
% 19.54/3.08 -> [20] ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(skolem_D2424, skolem_C2323)))
% 19.54/3.08
% 19.54/3.08 [20] Rewrite : member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323))
% 19.54/3.08 -> [21] (member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, skolem_D2424)) & member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323))
% 19.54/3.08
% 19.54/3.08 [21] ALPHA_NOT_OR : ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(skolem_D2424, skolem_C2323)))
% 19.54/3.08 -> [22] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222), ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(skolem_D2424, skolem_C2323))
% 19.54/3.08
% 19.54/3.08 [22] Rewrite : ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(skolem_D2424, skolem_C2323))
% 19.54/3.08 -> [23] ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424) & member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323))
% 19.54/3.08
% 19.54/3.08 [23] ALPHA_AND : (member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, skolem_D2424)) & member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323))
% 19.54/3.08 -> [24] member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, skolem_D2424)), member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323)
% 19.54/3.08
% 19.54/3.08 [24] Rewrite : member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, skolem_D2424))
% 19.54/3.08 -> [29] (member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424))
% 19.54/3.08
% 19.54/3.08 [29] BETA_NOT_AND : ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424) & member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323))
% 19.54/3.08 -> [34] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424)
% 19.54/3.08 -> [35] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323)
% 19.54/3.08
% 19.54/3.08 [35] CLOSURE : ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323)
% 19.54/3.08
% 19.54/3.08 [34] BETA_OR : (member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424))
% 19.54/3.08 -> [45] member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222)
% 19.54/3.08 -> [46] member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424)
% 19.54/3.08
% 19.54/3.08 [45] CLOSURE : member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222)
% 19.54/3.08
% 19.54/3.08 [46] CLOSURE : member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424)
% 19.54/3.08
% 19.54/3.08 [19] Rewrite : member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)))
% 19.54/3.08 -> [25] (member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(skolem_D2424, skolem_C2323)))
% 19.54/3.08
% 19.54/3.08 [25] Rewrite : ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323))
% 19.54/3.08 -> [26] ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, skolem_D2424)) & member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323))
% 19.54/3.08
% 19.54/3.08 [26] BETA_OR : (member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(skolem_D2424, skolem_C2323)))
% 19.54/3.08 -> [27] member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222)
% 19.54/3.08 -> [28] member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(skolem_D2424, skolem_C2323))
% 19.54/3.08
% 19.54/3.08 [28] Rewrite : member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), intersection(skolem_D2424, skolem_C2323))
% 19.54/3.08 -> [30] (member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424) & member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323))
% 19.54/3.08
% 19.54/3.08 [30] ALPHA_AND : (member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424) & member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323))
% 19.54/3.08 -> [31] member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424), member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323)
% 19.54/3.08
% 19.54/3.08 [31] BETA_NOT_AND : ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, skolem_D2424)) & member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323))
% 19.54/3.08 -> [36] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, skolem_D2424))
% 19.54/3.08 -> [37] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323)
% 19.54/3.08
% 19.54/3.08 [37] CLOSURE : ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323)
% 19.54/3.08
% 19.54/3.08 [36] Rewrite : ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, skolem_D2424))
% 19.54/3.08 -> [43] ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424))
% 19.54/3.08
% 19.54/3.08 [43] ALPHA_NOT_OR : ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424))
% 19.54/3.08 -> [44] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222), ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424)
% 19.54/3.08
% 19.54/3.08 [44] CLOSURE : ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424)
% 19.54/3.08
% 19.54/3.08 [27] BETA_NOT_AND : ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, skolem_D2424)) & member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323))
% 19.54/3.08 -> [32] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, skolem_D2424))
% 19.54/3.08 -> [33] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323)
% 19.54/3.08
% 19.54/3.08 [32] Rewrite : ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), union(skolem_B2222, skolem_D2424))
% 19.54/3.08 -> [38] ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424))
% 19.54/3.08
% 19.54/3.08 [38] ALPHA_NOT_OR : ~(member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222) | member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424))
% 19.54/3.08 -> [39] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222), ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_D2424)
% 19.54/3.08
% 19.54/3.08 [39] CLOSURE : ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222)
% 19.54/3.08
% 19.54/3.08 [33] GAMMA_FORALL : ! [D11_11] : ((member(D11_11, skolem_B2222) => member(D11_11, skolem_C2323)))
% 19.54/3.08 -> [40] (member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222) => member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323))
% 19.54/3.08
% 19.54/3.08 [40] BETA_IMPLY : (member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222) => member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323))
% 19.54/3.08 -> [41] ~member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_B2222)
% 19.54/3.08 -> [42] member(skolem_D2121(union(skolem_B2222, intersection(skolem_D2424, skolem_C2323)), intersection(union(skolem_B2222, skolem_D2424), skolem_C2323)), skolem_C2323)
% 19.54/3.08
% 19.54/3.08 [42] CLOSURE : =
% 19.54/3.08
% 19.54/3.08 [41] CLOSURE : =
% 19.54/3.08
% 19.54/3.08 % SZS output end Proof for theBenchmark.p
% 19.54/3.08 [2.737377s][1][Res] 18439 goroutines created
% 19.54/3.08 ==== Result ====
% 19.54/3.08 [2.737412s][1][Res] VALID
% 19.54/3.08 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------