TSTP Solution File: SET584+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET584+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n002.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 04:16:42 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET584+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n002.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 07:00:32 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 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 8
% 0.13/0.35 Launch Gotab with destructive = true
% 0.20/0.49 % SZS output start Proof for theBenchmark.p
% 0.20/0.49 [0] ALPHA_AND : (! [B9_9, C10_10] : (=(union(B9_9, C10_10), union(C10_10, B9_9))) & ! [B11_11] : (subset(B11_11, B11_11)) & ! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> ! [D14_14] : ((member(D14_14, B12_12) <=> member(D14_14, C13_13))))) & ~! [B15_15, C16_16, D17_17] : ((subset(B15_15, C16_16) => subset(union(B15_15, D17_17), union(C16_16, D17_17)))))
% 0.20/0.49 -> [1] ! [B9_9, C10_10] : (=(union(B9_9, C10_10), union(C10_10, B9_9))), ! [B11_11] : (subset(B11_11, B11_11)), ! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> ! [D14_14] : ((member(D14_14, B12_12) <=> member(D14_14, C13_13))))), ~! [B15_15, C16_16, D17_17] : ((subset(B15_15, C16_16) => subset(union(B15_15, D17_17), union(C16_16, D17_17))))
% 0.20/0.49
% 0.20/0.49 [1] DELTA_NOT_FORALL : ~! [B15_15, C16_16, D17_17] : ((subset(B15_15, C16_16) => subset(union(B15_15, D17_17), union(C16_16, D17_17))))
% 0.20/0.49 -> [2] ~(subset(skolem_B1515, skolem_C1616) => subset(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)))
% 0.20/0.49
% 0.20/0.49 [2] ALPHA_NOT_IMPLY : ~(subset(skolem_B1515, skolem_C1616) => subset(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)))
% 0.20/0.49 -> [3] subset(skolem_B1515, skolem_C1616), ~subset(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717))
% 0.20/0.49
% 0.20/0.49 [3] Rewrite : subset(skolem_B1515, skolem_C1616)
% 0.20/0.49 -> [4] ! [D8_8] : ((member(D8_8, skolem_B1515) => member(D8_8, skolem_C1616)))
% 0.20/0.49
% 0.20/0.49 [4] Rewrite : ~subset(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717))
% 0.20/0.49 -> [5] ~(member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), union(skolem_B1515, skolem_D1717)) => member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), union(skolem_C1616, skolem_D1717)))
% 0.20/0.49
% 0.20/0.49 [5] ALPHA_NOT_IMPLY : ~(member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), union(skolem_B1515, skolem_D1717)) => member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), union(skolem_C1616, skolem_D1717)))
% 0.20/0.49 -> [6] member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), union(skolem_B1515, skolem_D1717)), ~member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), union(skolem_C1616, skolem_D1717))
% 0.20/0.49
% 0.20/0.49 [6] Rewrite : member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), union(skolem_B1515, skolem_D1717))
% 0.20/0.49 -> [7] (member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_B1515) | member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_D1717))
% 0.20/0.49
% 0.20/0.49 [7] Rewrite : ~member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), union(skolem_C1616, skolem_D1717))
% 0.20/0.49 -> [8] ~(member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_C1616) | member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_D1717))
% 0.20/0.49
% 0.20/0.49 [8] ALPHA_NOT_OR : ~(member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_C1616) | member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_D1717))
% 0.20/0.49 -> [9] ~member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_C1616), ~member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_D1717)
% 0.20/0.49
% 0.20/0.49 [9] BETA_OR : (member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_B1515) | member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_D1717))
% 0.20/0.49 -> [10] member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_B1515)
% 0.20/0.49 -> [11] member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_D1717)
% 0.20/0.49
% 0.20/0.49 [11] CLOSURE : member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_D1717)
% 0.20/0.49
% 0.20/0.49 [10] GAMMA_FORALL : ! [B9_9, C10_10] : (=(union(B9_9, C10_10), union(C10_10, B9_9)))
% 0.20/0.49 -> [12] =(union(B9_0_0, C10_0_0), union(C10_0_0, B9_0_0))
% 0.20/0.49
% 0.20/0.49 [12] GAMMA_FORALL : ! [B11_11] : (subset(B11_11, B11_11))
% 0.20/0.49 -> [13] subset(B11_0_1, B11_0_1)
% 0.20/0.49
% 0.20/0.49 [13] Rewrite : subset(B11_0_1, B11_0_1)
% 0.20/0.49 -> [14] ! [D8_8] : ((member(D8_8, B11_0_1) => member(D8_8, B11_0_1)))
% 0.20/0.49
% 0.20/0.49 [14] GAMMA_FORALL : ! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> ! [D14_14] : ((member(D14_14, B12_12) <=> member(D14_14, C13_13)))))
% 0.20/0.49 -> [15] (=(C13_0_2, C13_0_2) <=> ! [D14_14] : ((member(D14_14, C13_0_2) <=> member(D14_14, C13_0_2))))
% 0.20/0.49
% 0.20/0.49 [15] BETA_EQUIV : (=(C13_0_2, C13_0_2) <=> ! [D14_14] : ((member(D14_14, C13_0_2) <=> member(D14_14, C13_0_2))))
% 0.20/0.49 -> [16] ~=(C13_0_2, C13_0_2), ~! [D14_14] : ((member(D14_14, C13_0_2) <=> member(D14_14, C13_0_2)))
% 0.20/0.49 -> [17] =(C13_0_2, C13_0_2), ! [D14_14] : ((member(D14_14, C13_0_2) <=> member(D14_14, C13_0_2)))
% 0.20/0.49
% 0.20/0.49 [16] DELTA_NOT_FORALL : ~! [D14_14] : ((member(D14_14, C13_0_2) <=> member(D14_14, C13_0_2)))
% 0.20/0.49 -> [18] ~(member(skolem_D1414(C13_0_2, C13_0_2), C13_0_2) <=> member(skolem_D1414(C13_0_2, C13_0_2), C13_0_2))
% 0.20/0.49
% 0.20/0.49 [18] CLOSURE : ~! [D14_14] : ((member(D14_14, C13_0_2) <=> member(D14_14, C13_0_2)))
% 0.20/0.49
% 0.20/0.49 [17] GAMMA_FORALL : ! [D8_8] : ((member(D8_8, skolem_B1515) => member(D8_8, skolem_C1616)))
% 0.20/0.49 -> [19] (member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_B1515) => member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_C1616))
% 0.20/0.49
% 0.20/0.49 [19] BETA_IMPLY : (member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_B1515) => member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_C1616))
% 0.20/0.49 -> [20] ~member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_B1515)
% 0.20/0.49 -> [21] member(skolem_D88(union(skolem_B1515, skolem_D1717), union(skolem_C1616, skolem_D1717)), skolem_C1616)
% 0.20/0.49
% 0.20/0.49 [20] CLOSURE : =
% 0.20/0.49
% 0.20/0.49 [21] CLOSURE : =
% 0.20/0.49
% 0.20/0.49 % SZS output end Proof for theBenchmark.p
% 0.20/0.49 [0.144196s][1][Res] 374 goroutines created
% 0.20/0.49 ==== Result ====
% 0.20/0.49 [0.144262s][1][Res] VALID
% 0.20/0.49 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------