TSTP Solution File: SET199+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET199+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n006.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 04:15:47 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET199+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 03:19:54 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 [0.000041s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 8
% 0.13/0.34 Launch Gotab with destructive = true
% 0.19/0.52 % SZS output start Proof for theBenchmark.p
% 0.19/0.52 [0] ALPHA_AND : (! [B9_9, C10_10] : (=(intersection(B9_9, C10_10), intersection(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(B15_15, D17_17)) => subset(B15_15, intersection(C16_16, D17_17)))))
% 0.19/0.52 -> [1] ! [B9_9, C10_10] : (=(intersection(B9_9, C10_10), intersection(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(B15_15, D17_17)) => subset(B15_15, intersection(C16_16, D17_17))))
% 0.19/0.52
% 0.19/0.52 [1] DELTA_NOT_FORALL : ~! [B15_15, C16_16, D17_17] : (((subset(B15_15, C16_16) & subset(B15_15, D17_17)) => subset(B15_15, intersection(C16_16, D17_17))))
% 0.19/0.52 -> [2] ~((subset(skolem_B1515, skolem_C1616) & subset(skolem_B1515, skolem_D1717)) => subset(skolem_B1515, intersection(skolem_C1616, skolem_D1717)))
% 0.19/0.52
% 0.19/0.52 [2] ALPHA_NOT_IMPLY : ~((subset(skolem_B1515, skolem_C1616) & subset(skolem_B1515, skolem_D1717)) => subset(skolem_B1515, intersection(skolem_C1616, skolem_D1717)))
% 0.19/0.52 -> [3] (subset(skolem_B1515, skolem_C1616) & subset(skolem_B1515, skolem_D1717)), ~subset(skolem_B1515, intersection(skolem_C1616, skolem_D1717))
% 0.19/0.52
% 0.19/0.52 [3] Rewrite : ~subset(skolem_B1515, intersection(skolem_C1616, skolem_D1717))
% 0.19/0.52 -> [4] ~(member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_B1515) => member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), intersection(skolem_C1616, skolem_D1717)))
% 0.19/0.52
% 0.19/0.52 [4] ALPHA_AND : (subset(skolem_B1515, skolem_C1616) & subset(skolem_B1515, skolem_D1717))
% 0.19/0.52 -> [5] subset(skolem_B1515, skolem_C1616), subset(skolem_B1515, skolem_D1717)
% 0.19/0.52
% 0.19/0.52 [5] Rewrite : subset(skolem_B1515, skolem_C1616)
% 0.19/0.52 -> [6] ! [D8_8] : ((member(D8_8, skolem_B1515) => member(D8_8, skolem_C1616)))
% 0.19/0.52
% 0.19/0.52 [6] Rewrite : subset(skolem_B1515, skolem_D1717)
% 0.19/0.52 -> [7] ! [D8_8] : ((member(D8_8, skolem_B1515) => member(D8_8, skolem_D1717)))
% 0.19/0.52
% 0.19/0.52 [7] ALPHA_NOT_IMPLY : ~(member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_B1515) => member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), intersection(skolem_C1616, skolem_D1717)))
% 0.19/0.52 -> [8] member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_B1515), ~member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), intersection(skolem_C1616, skolem_D1717))
% 0.19/0.52
% 0.19/0.52 [8] Rewrite : ~member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), intersection(skolem_C1616, skolem_D1717))
% 0.19/0.52 -> [9] ~(member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_C1616) & member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_D1717))
% 0.19/0.52
% 0.19/0.52 [9] BETA_NOT_AND : ~(member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_C1616) & member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_D1717))
% 0.19/0.52 -> [10] ~member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_C1616)
% 0.19/0.52 -> [11] ~member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_D1717)
% 0.19/0.52
% 0.19/0.52 [10] GAMMA_FORALL : ! [B9_9, C10_10] : (=(intersection(B9_9, C10_10), intersection(C10_10, B9_9)))
% 0.19/0.52 -> [13] =(intersection(B9_1_0, C10_1_0), intersection(C10_1_0, B9_1_0))
% 0.19/0.52
% 0.19/0.52 [13] GAMMA_FORALL : ! [B11_11] : (subset(B11_11, B11_11))
% 0.19/0.52 -> [15] subset(B11_1_1, B11_1_1)
% 0.19/0.52
% 0.19/0.52 [15] Rewrite : subset(B11_1_1, B11_1_1)
% 0.19/0.52 -> [17] ! [D8_8] : ((member(D8_8, B11_1_1) => member(D8_8, B11_1_1)))
% 0.19/0.52
% 0.19/0.52 [17] GAMMA_FORALL : ! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> ! [D14_14] : ((member(D14_14, B12_12) <=> member(D14_14, C13_13)))))
% 0.19/0.52 -> [21] (=(C13_1_2, C13_1_2) <=> ! [D14_14] : ((member(D14_14, C13_1_2) <=> member(D14_14, C13_1_2))))
% 0.19/0.52
% 0.19/0.52 [21] BETA_EQUIV : (=(C13_1_2, C13_1_2) <=> ! [D14_14] : ((member(D14_14, C13_1_2) <=> member(D14_14, C13_1_2))))
% 0.19/0.52 -> [22] ~=(C13_1_2, C13_1_2), ~! [D14_14] : ((member(D14_14, C13_1_2) <=> member(D14_14, C13_1_2)))
% 0.19/0.52 -> [23] =(C13_1_2, C13_1_2), ! [D14_14] : ((member(D14_14, C13_1_2) <=> member(D14_14, C13_1_2)))
% 0.19/0.52
% 0.19/0.52 [22] DELTA_NOT_FORALL : ~! [D14_14] : ((member(D14_14, C13_1_2) <=> member(D14_14, C13_1_2)))
% 0.19/0.52 -> [25] ~(member(skolem_D1414(C13_1_2, C13_1_2), C13_1_2) <=> member(skolem_D1414(C13_1_2, C13_1_2), C13_1_2))
% 0.19/0.52
% 0.19/0.52 [25] CLOSURE : ~! [D14_14] : ((member(D14_14, C13_1_2) <=> member(D14_14, C13_1_2)))
% 0.19/0.52
% 0.19/0.52 [23] GAMMA_FORALL : ! [D8_8] : ((member(D8_8, skolem_B1515) => member(D8_8, skolem_C1616)))
% 0.19/0.52 -> [27] (member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_B1515) => member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_C1616))
% 0.19/0.52
% 0.19/0.52 [27] BETA_IMPLY : (member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_B1515) => member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_C1616))
% 0.19/0.52 -> [30] ~member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_B1515)
% 0.19/0.52 -> [31] member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_C1616)
% 0.19/0.52
% 0.19/0.52 [30] CLOSURE : =
% 0.19/0.52
% 0.19/0.52 [31] CLOSURE : =
% 0.19/0.52
% 0.19/0.52 [11] GAMMA_FORALL : ! [B9_9, C10_10] : (=(intersection(B9_9, C10_10), intersection(C10_10, B9_9)))
% 0.19/0.52 -> [12] =(intersection(B9_0_0, C10_0_0), intersection(C10_0_0, B9_0_0))
% 0.19/0.52
% 0.19/0.52 [12] GAMMA_FORALL : ! [B11_11] : (subset(B11_11, B11_11))
% 0.19/0.52 -> [14] subset(B11_0_1, B11_0_1)
% 0.19/0.52
% 0.19/0.52 [14] Rewrite : subset(B11_0_1, B11_0_1)
% 0.19/0.52 -> [16] ! [D8_8] : ((member(D8_8, B11_0_1) => member(D8_8, B11_0_1)))
% 0.19/0.52
% 0.19/0.52 [16] GAMMA_FORALL : ! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> ! [D14_14] : ((member(D14_14, B12_12) <=> member(D14_14, C13_13)))))
% 0.19/0.52 -> [18] (=(C13_0_2, C13_0_2) <=> ! [D14_14] : ((member(D14_14, C13_0_2) <=> member(D14_14, C13_0_2))))
% 0.19/0.52
% 0.19/0.52 [18] BETA_EQUIV : (=(C13_0_2, C13_0_2) <=> ! [D14_14] : ((member(D14_14, C13_0_2) <=> member(D14_14, C13_0_2))))
% 0.19/0.52 -> [19] ~=(C13_0_2, C13_0_2), ~! [D14_14] : ((member(D14_14, C13_0_2) <=> member(D14_14, C13_0_2)))
% 0.19/0.52 -> [20] =(C13_0_2, C13_0_2), ! [D14_14] : ((member(D14_14, C13_0_2) <=> member(D14_14, C13_0_2)))
% 0.19/0.52
% 0.19/0.52 [19] DELTA_NOT_FORALL : ~! [D14_14] : ((member(D14_14, C13_0_2) <=> member(D14_14, C13_0_2)))
% 0.19/0.52 -> [24] ~(member(skolem_D1414(C13_0_2, C13_0_2), C13_0_2) <=> member(skolem_D1414(C13_0_2, C13_0_2), C13_0_2))
% 0.19/0.52
% 0.19/0.52 [24] CLOSURE : ~! [D14_14] : ((member(D14_14, C13_0_2) <=> member(D14_14, C13_0_2)))
% 0.19/0.52
% 0.19/0.52 [20] GAMMA_FORALL : ! [D8_8] : ((member(D8_8, skolem_B1515) => member(D8_8, skolem_C1616)))
% 0.19/0.52 -> [26] (member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_B1515) => member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_C1616))
% 0.19/0.52
% 0.19/0.52 [26] BETA_IMPLY : (member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_B1515) => member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_C1616))
% 0.19/0.52 -> [28] ~member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_B1515)
% 0.19/0.52 -> [29] member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_C1616)
% 0.19/0.52
% 0.19/0.52 [28] CLOSURE : =
% 0.19/0.52
% 0.19/0.52 [29] GAMMA_FORALL : ! [D8_8] : ((member(D8_8, skolem_B1515) => member(D8_8, skolem_D1717)))
% 0.19/0.52 -> [32] (member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_B1515) => member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_D1717))
% 0.19/0.52
% 0.19/0.52 [32] BETA_IMPLY : (member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_B1515) => member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_D1717))
% 0.19/0.52 -> [33] ~member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_B1515)
% 0.19/0.52 -> [34] member(skolem_D88(skolem_B1515, intersection(skolem_C1616, skolem_D1717)), skolem_D1717)
% 0.19/0.52
% 0.19/0.52 [34] CLOSURE : =
% 0.19/0.52
% 0.19/0.52 [33] CLOSURE : =
% 0.19/0.52
% 0.19/0.52 % SZS output end Proof for theBenchmark.p
% 0.19/0.52 [0.177114s][1][Res] 619 goroutines created
% 0.19/0.52 ==== Result ====
% 0.19/0.52 [0.177151s][1][Res] VALID
% 0.19/0.52 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------