TSTP Solution File: SET595+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET595+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 04:16:46 EDT 2022
% Result : Theorem 2.31s 0.75s
% Output : Proof 2.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET595+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n004.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 06:47:04 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 [0.000040s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 12
% 0.12/0.34 Launch Gotab with destructive = true
% 2.31/0.75 % SZS output start Proof for theBenchmark.p
% 2.31/0.75 [0] ALPHA_AND : (! [B3_3, C4_4] : ((! [D5_5] : ((member(D5_5, B3_3) <=> member(D5_5, C4_4))) => =(B3_3, C4_4))) & ! [B15_15, C16_16] : ((=(B15_15, C16_16) <=> (subset(B15_15, C16_16) & subset(C16_16, B15_15)))) & ! [B17_17, C18_18] : (=(union(B17_17, C18_18), union(C18_18, B17_17))) & ! [B19_19, C20_20] : ((=(B19_19, C20_20) <=> ! [D21_21] : ((member(D21_21, B19_19) <=> member(D21_21, C20_20))))) & ! [B22_22] : (subset(B22_22, B22_22)) & ~! [B23_23, C24_24] : ((subset(B23_23, C24_24) => =(C24_24, union(B23_23, difference(C24_24, B23_23))))))
% 2.31/0.75 -> [1] ! [B3_3, C4_4] : ((! [D5_5] : ((member(D5_5, B3_3) <=> member(D5_5, C4_4))) => =(B3_3, C4_4))), ! [B15_15, C16_16] : ((=(B15_15, C16_16) <=> (subset(B15_15, C16_16) & subset(C16_16, B15_15)))), ! [B17_17, C18_18] : (=(union(B17_17, C18_18), union(C18_18, B17_17))), ! [B19_19, C20_20] : ((=(B19_19, C20_20) <=> ! [D21_21] : ((member(D21_21, B19_19) <=> member(D21_21, C20_20))))), ! [B22_22] : (subset(B22_22, B22_22)), ~! [B23_23, C24_24] : ((subset(B23_23, C24_24) => =(C24_24, union(B23_23, difference(C24_24, B23_23)))))
% 2.31/0.75
% 2.31/0.75 [1] DELTA_NOT_FORALL : ~! [B23_23, C24_24] : ((subset(B23_23, C24_24) => =(C24_24, union(B23_23, difference(C24_24, B23_23)))))
% 2.31/0.75 -> [2] ~(subset(skolem_B2323, skolem_C2424) => =(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))))
% 2.31/0.75
% 2.31/0.75 [2] ALPHA_NOT_IMPLY : ~(subset(skolem_B2323, skolem_C2424) => =(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))))
% 2.31/0.75 -> [3] subset(skolem_B2323, skolem_C2424), ~=(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323)))
% 2.31/0.75
% 2.31/0.75 [3] Rewrite : subset(skolem_B2323, skolem_C2424)
% 2.31/0.75 -> [4] ! [D14_14] : ((member(D14_14, skolem_B2323) => member(D14_14, skolem_C2424)))
% 2.31/0.75
% 2.31/0.75 [4] GAMMA_FORALL : ! [B3_3, C4_4] : ((! [D5_5] : ((member(D5_5, B3_3) <=> member(D5_5, C4_4))) => =(B3_3, C4_4)))
% 2.31/0.75 -> [5] (! [D5_5] : ((member(D5_5, B3_0_0) <=> member(D5_5, B3_0_0))) => =(B3_0_0, B3_0_0))
% 2.31/0.75
% 2.31/0.75 [5] BETA_IMPLY : (! [D5_5] : ((member(D5_5, B3_0_0) <=> member(D5_5, B3_0_0))) => =(B3_0_0, B3_0_0))
% 2.31/0.75 -> [6] ~! [D5_5] : ((member(D5_5, B3_0_0) <=> member(D5_5, B3_0_0)))
% 2.31/0.75 -> [7] =(B3_0_0, B3_0_0)
% 2.31/0.75
% 2.31/0.75 [6] DELTA_NOT_FORALL : ~! [D5_5] : ((member(D5_5, B3_0_0) <=> member(D5_5, B3_0_0)))
% 2.31/0.75 -> [8] ~(member(skolem_D55(B3_0_0, B3_0_0), B3_0_0) <=> member(skolem_D55(B3_0_0, B3_0_0), B3_0_0))
% 2.31/0.75
% 2.31/0.75 [8] BETA_NOT_EQUIV : ~(member(skolem_D55(B3_0_0, B3_0_0), B3_0_0) <=> member(skolem_D55(B3_0_0, B3_0_0), B3_0_0))
% 2.31/0.75 -> [9] ~member(skolem_D55(B3_0_0, B3_0_0), B3_0_0), member(skolem_D55(B3_0_0, B3_0_0), B3_0_0)
% 2.31/0.75 -> [10] member(skolem_D55(B3_0_0, B3_0_0), B3_0_0), ~member(skolem_D55(B3_0_0, B3_0_0), B3_0_0)
% 2.31/0.75
% 2.31/0.75 [10] CLOSURE : ~member(skolem_D55(B3_0_0, B3_0_0), B3_0_0)
% 2.31/0.75
% 2.31/0.75 [9] CLOSURE : member(skolem_D55(B3_0_0, B3_0_0), B3_0_0)
% 2.31/0.75
% 2.31/0.75 [7] GAMMA_FORALL : ! [B15_15, C16_16] : ((=(B15_15, C16_16) <=> (subset(B15_15, C16_16) & subset(C16_16, B15_15))))
% 2.31/0.75 -> [11] (=(C16_0_1, C16_0_1) <=> (subset(C16_0_1, C16_0_1) & subset(C16_0_1, C16_0_1)))
% 2.31/0.75
% 2.31/0.75 [11] BETA_EQUIV : (=(C16_0_1, C16_0_1) <=> (subset(C16_0_1, C16_0_1) & subset(C16_0_1, C16_0_1)))
% 2.31/0.75 -> [12] ~=(C16_0_1, C16_0_1), ~(subset(C16_0_1, C16_0_1) & subset(C16_0_1, C16_0_1))
% 2.31/0.75 -> [13] =(C16_0_1, C16_0_1), (subset(C16_0_1, C16_0_1) & subset(C16_0_1, C16_0_1))
% 2.31/0.75
% 2.31/0.75 [12] CLOSURE : =
% 2.31/0.75
% 2.31/0.75 [14] Rewrite : subset(C16_0_1, C16_0_1)
% 2.31/0.75 -> [15] ! [D14_14] : ((member(D14_14, C16_0_1) => member(D14_14, C16_0_1)))
% 2.31/0.75
% 2.31/0.75 [15] GAMMA_FORALL : ! [B17_17, C18_18] : (=(union(B17_17, C18_18), union(C18_18, B17_17)))
% 2.31/0.75 -> [16] =(union(B17_0_2, C18_0_2), union(C18_0_2, B17_0_2))
% 2.31/0.75
% 2.31/0.75 [16] GAMMA_FORALL : ! [B19_19, C20_20] : ((=(B19_19, C20_20) <=> ! [D21_21] : ((member(D21_21, B19_19) <=> member(D21_21, C20_20)))))
% 2.31/0.75 -> [17] (=(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))) <=> ! [D21_21] : ((member(D21_21, skolem_C2424) <=> member(D21_21, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))))))
% 2.31/0.75
% 2.31/0.75 [17] BETA_EQUIV : (=(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))) <=> ! [D21_21] : ((member(D21_21, skolem_C2424) <=> member(D21_21, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))))))
% 2.31/0.75 -> [18] ~=(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), ~! [D21_21] : ((member(D21_21, skolem_C2424) <=> member(D21_21, union(skolem_B2323, difference(skolem_C2424, skolem_B2323)))))
% 2.31/0.75 -> [19] =(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), ! [D21_21] : ((member(D21_21, skolem_C2424) <=> member(D21_21, union(skolem_B2323, difference(skolem_C2424, skolem_B2323)))))
% 2.31/0.75
% 2.31/0.75 [19] CLOSURE : =
% 2.31/0.75
% 2.31/0.75 [20] BETA_NOT_EQUIV : ~(member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424) <=> member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), union(skolem_B2323, difference(skolem_C2424, skolem_B2323))))
% 2.31/0.75 -> [21] ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424), member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), union(skolem_B2323, difference(skolem_C2424, skolem_B2323)))
% 2.31/0.75 -> [22] member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424), ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), union(skolem_B2323, difference(skolem_C2424, skolem_B2323)))
% 2.31/0.75
% 2.31/0.75 [22] Rewrite : ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), union(skolem_B2323, difference(skolem_C2424, skolem_B2323)))
% 2.31/0.75 -> [23] ~(member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323) | member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), difference(skolem_C2424, skolem_B2323)))
% 2.31/0.75
% 2.31/0.75 [23] ALPHA_NOT_OR : ~(member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323) | member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), difference(skolem_C2424, skolem_B2323)))
% 2.31/0.75 -> [24] ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323), ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), difference(skolem_C2424, skolem_B2323))
% 2.31/0.75
% 2.31/0.75 [24] Rewrite : ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), difference(skolem_C2424, skolem_B2323))
% 2.31/0.75 -> [30] ~(member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424) & ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323))
% 2.31/0.75
% 2.31/0.75 [30] BETA_NOT_AND : ~(member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424) & ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323))
% 2.31/0.75 -> [31] ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424)
% 2.31/0.75 -> [32] ~~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323)
% 2.31/0.75
% 2.31/0.75 [31] CLOSURE : ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424)
% 2.31/0.75
% 2.31/0.75 [32] ALPHA_NOT_NOT : ~~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323)
% 2.31/0.75 -> [33] member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323)
% 2.31/0.75
% 2.31/0.75 [33] CLOSURE : member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323)
% 2.31/0.75
% 2.31/0.75 [21] Rewrite : member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), union(skolem_B2323, difference(skolem_C2424, skolem_B2323)))
% 2.31/0.75 -> [25] (member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323) | member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), difference(skolem_C2424, skolem_B2323)))
% 2.31/0.75
% 2.31/0.75 [25] BETA_OR : (member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323) | member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), difference(skolem_C2424, skolem_B2323)))
% 2.31/0.75 -> [26] member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323)
% 2.31/0.75 -> [27] member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), difference(skolem_C2424, skolem_B2323))
% 2.31/0.75
% 2.31/0.75 [27] Rewrite : member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), difference(skolem_C2424, skolem_B2323))
% 2.31/0.75 -> [28] (member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424) & ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323))
% 2.31/0.75
% 2.31/0.75 [28] ALPHA_AND : (member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424) & ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323))
% 2.31/0.75 -> [29] member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424), ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323)
% 2.31/0.75
% 2.31/0.75 [29] CLOSURE : member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424)
% 2.31/0.75
% 2.31/0.75 [26] GAMMA_FORALL : ! [B22_22] : (subset(B22_22, B22_22))
% 2.31/0.75 -> [34] subset(B22_0_4, B22_0_4)
% 2.31/0.75
% 2.31/0.75 [34] Rewrite : subset(B22_0_4, B22_0_4)
% 2.31/0.75 -> [35] ! [D14_14] : ((member(D14_14, B22_0_4) => member(D14_14, B22_0_4)))
% 2.31/0.75
% 2.31/0.75 [35] GAMMA_FORALL : ! [D14_14] : ((member(D14_14, skolem_B2323) => member(D14_14, skolem_C2424)))
% 2.31/0.75 -> [36] (member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323) => member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424))
% 2.31/0.75
% 2.31/0.75 [36] BETA_IMPLY : (member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323) => member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424))
% 2.31/0.75 -> [37] ~member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_B2323)
% 2.31/0.75 -> [38] member(skolem_D2121(skolem_C2424, union(skolem_B2323, difference(skolem_C2424, skolem_B2323))), skolem_C2424)
% 2.31/0.75
% 2.31/0.75 [37] CLOSURE : =
% 2.31/0.75
% 2.31/0.75 [38] CLOSURE : =
% 2.31/0.75
% 2.31/0.75 % SZS output end Proof for theBenchmark.p
% 2.31/0.75 [0.412944s][1][Res] 1106 goroutines created
% 2.31/0.75 ==== Result ====
% 2.31/0.75 [0.412966s][1][Res] VALID
% 2.31/0.75 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------