TSTP Solution File: SET593+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET593+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n009.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 04:16:45 EDT 2022
% Result : Theorem 0.15s 0.55s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET593+3 : TPTP v8.1.0. Released v2.2.0.
% 0.02/0.10 % Command : goeland -dmt -presko -proof %s
% 0.10/0.30 % Computer : n009.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Sep 3 06:48:20 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.31 [DMT] DMT loaded with preskolemization
% 0.15/0.31 [EQ] equality loaded.
% 0.15/0.31 [0.000035s][1][MAIN] Problem : theBenchmark.p
% 0.15/0.31 Start search
% 0.15/0.31 nb_step : 1 - limit : 9
% 0.15/0.31 Launch Gotab with destructive = true
% 0.15/0.55 % SZS output start Proof for theBenchmark.p
% 0.15/0.55 [0] ALPHA_AND : (! [B12_12, C13_13] : (=(union(B12_12, C13_13), union(C13_13, B12_12))) & ! [B14_14] : (subset(B14_14, B14_14)) & ! [B15_15, C16_16] : ((=(B15_15, C16_16) <=> ! [D17_17] : ((member(D17_17, B15_15) <=> member(D17_17, C16_16))))) & ~! [B18_18, C19_19, D20_20] : ((subset(B18_18, union(C19_19, D20_20)) => (subset(difference(B18_18, C19_19), D20_20) & subset(difference(B18_18, D20_20), C19_19)))))
% 0.15/0.55 -> [1] ! [B12_12, C13_13] : (=(union(B12_12, C13_13), union(C13_13, B12_12))), ! [B14_14] : (subset(B14_14, B14_14)), ! [B15_15, C16_16] : ((=(B15_15, C16_16) <=> ! [D17_17] : ((member(D17_17, B15_15) <=> member(D17_17, C16_16))))), ~! [B18_18, C19_19, D20_20] : ((subset(B18_18, union(C19_19, D20_20)) => (subset(difference(B18_18, C19_19), D20_20) & subset(difference(B18_18, D20_20), C19_19))))
% 0.15/0.55
% 0.15/0.55 [1] DELTA_NOT_FORALL : ~! [B18_18, C19_19, D20_20] : ((subset(B18_18, union(C19_19, D20_20)) => (subset(difference(B18_18, C19_19), D20_20) & subset(difference(B18_18, D20_20), C19_19))))
% 0.15/0.55 -> [2] ~(subset(skolem_B1818, union(skolem_C1919, skolem_D2020)) => (subset(difference(skolem_B1818, skolem_C1919), skolem_D2020) & subset(difference(skolem_B1818, skolem_D2020), skolem_C1919)))
% 0.15/0.55
% 0.15/0.55 [2] ALPHA_NOT_IMPLY : ~(subset(skolem_B1818, union(skolem_C1919, skolem_D2020)) => (subset(difference(skolem_B1818, skolem_C1919), skolem_D2020) & subset(difference(skolem_B1818, skolem_D2020), skolem_C1919)))
% 0.15/0.55 -> [3] subset(skolem_B1818, union(skolem_C1919, skolem_D2020)), ~(subset(difference(skolem_B1818, skolem_C1919), skolem_D2020) & subset(difference(skolem_B1818, skolem_D2020), skolem_C1919))
% 0.15/0.55
% 0.15/0.55 [3] Rewrite : subset(skolem_B1818, union(skolem_C1919, skolem_D2020))
% 0.15/0.55 -> [4] ! [D11_11] : ((member(D11_11, skolem_B1818) => member(D11_11, union(skolem_C1919, skolem_D2020))))
% 0.15/0.55
% 0.15/0.55 [4] BETA_NOT_AND : ~(subset(difference(skolem_B1818, skolem_C1919), skolem_D2020) & subset(difference(skolem_B1818, skolem_D2020), skolem_C1919))
% 0.15/0.55 -> [5] ~subset(difference(skolem_B1818, skolem_C1919), skolem_D2020)
% 0.15/0.55 -> [6] ~subset(difference(skolem_B1818, skolem_D2020), skolem_C1919)
% 0.15/0.55
% 0.15/0.55 [5] Rewrite : ~subset(difference(skolem_B1818, skolem_C1919), skolem_D2020)
% 0.15/0.55 -> [8] ~(member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), difference(skolem_B1818, skolem_C1919)) => member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_D2020))
% 0.15/0.55
% 0.15/0.55 [8] ALPHA_NOT_IMPLY : ~(member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), difference(skolem_B1818, skolem_C1919)) => member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_D2020))
% 0.15/0.55 -> [9] member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), difference(skolem_B1818, skolem_C1919)), ~member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_D2020)
% 0.15/0.55
% 0.15/0.55 [9] Rewrite : member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), difference(skolem_B1818, skolem_C1919))
% 0.15/0.55 -> [11] (member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_B1818) & ~member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_C1919))
% 0.15/0.55
% 0.15/0.55 [11] ALPHA_AND : (member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_B1818) & ~member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_C1919))
% 0.15/0.55 -> [13] member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_B1818), ~member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_C1919)
% 0.15/0.55
% 0.15/0.55 [13] GAMMA_FORALL : ! [B12_12, C13_13] : (=(union(B12_12, C13_13), union(C13_13, B12_12)))
% 0.15/0.55 -> [15] =(union(B12_0_0, C13_0_0), union(C13_0_0, B12_0_0))
% 0.15/0.55
% 0.15/0.55 [15] GAMMA_FORALL : ! [B14_14] : (subset(B14_14, B14_14))
% 0.15/0.55 -> [17] subset(B14_0_1, B14_0_1)
% 0.15/0.55
% 0.15/0.55 [17] Rewrite : subset(B14_0_1, B14_0_1)
% 0.15/0.55 -> [19] ! [D11_11] : ((member(D11_11, B14_0_1) => member(D11_11, B14_0_1)))
% 0.15/0.55
% 0.15/0.55 [19] GAMMA_FORALL : ! [B15_15, C16_16] : ((=(B15_15, C16_16) <=> ! [D17_17] : ((member(D17_17, B15_15) <=> member(D17_17, C16_16)))))
% 0.15/0.55 -> [20] (=(C16_0_2, C16_0_2) <=> ! [D17_17] : ((member(D17_17, C16_0_2) <=> member(D17_17, C16_0_2))))
% 0.15/0.55
% 0.15/0.55 [20] BETA_EQUIV : (=(C16_0_2, C16_0_2) <=> ! [D17_17] : ((member(D17_17, C16_0_2) <=> member(D17_17, C16_0_2))))
% 0.15/0.55 -> [21] ~=(C16_0_2, C16_0_2), ~! [D17_17] : ((member(D17_17, C16_0_2) <=> member(D17_17, C16_0_2)))
% 0.15/0.55 -> [22] =(C16_0_2, C16_0_2), ! [D17_17] : ((member(D17_17, C16_0_2) <=> member(D17_17, C16_0_2)))
% 0.15/0.55
% 0.15/0.55 [21] DELTA_NOT_FORALL : ~! [D17_17] : ((member(D17_17, C16_0_2) <=> member(D17_17, C16_0_2)))
% 0.15/0.55 -> [27] ~(member(skolem_D1717(C16_0_2, C16_0_2), C16_0_2) <=> member(skolem_D1717(C16_0_2, C16_0_2), C16_0_2))
% 0.15/0.55
% 0.15/0.55 [27] CLOSURE : ~! [D17_17] : ((member(D17_17, C16_0_2) <=> member(D17_17, C16_0_2)))
% 0.15/0.55
% 0.15/0.55 [22] GAMMA_FORALL : ! [D11_11] : ((member(D11_11, skolem_B1818) => member(D11_11, union(skolem_C1919, skolem_D2020))))
% 0.15/0.55 -> [29] (member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_B1818) => member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), union(skolem_C1919, skolem_D2020)))
% 0.15/0.55
% 0.15/0.55 [29] BETA_IMPLY : (member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_B1818) => member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), union(skolem_C1919, skolem_D2020)))
% 0.15/0.55 -> [30] ~member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_B1818)
% 0.15/0.55 -> [31] member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), union(skolem_C1919, skolem_D2020))
% 0.15/0.55
% 0.15/0.55 [30] CLOSURE : =
% 0.15/0.55
% 0.15/0.55 [31] Rewrite : member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), union(skolem_C1919, skolem_D2020))
% 0.15/0.55 -> [35] (member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_C1919) | member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_D2020))
% 0.15/0.55
% 0.15/0.55 [35] BETA_OR : (member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_C1919) | member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_D2020))
% 0.15/0.55 -> [36] member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_C1919)
% 0.15/0.55 -> [37] member(skolem_D1111(difference(skolem_B1818, skolem_C1919), skolem_D2020), skolem_D2020)
% 0.15/0.55
% 0.15/0.55 [36] CLOSURE : =
% 0.15/0.55
% 0.15/0.55 [37] CLOSURE : =
% 0.15/0.55
% 0.15/0.55 [6] Rewrite : ~subset(difference(skolem_B1818, skolem_D2020), skolem_C1919)
% 0.15/0.55 -> [7] ~(member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), difference(skolem_B1818, skolem_D2020)) => member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_C1919))
% 0.15/0.55
% 0.15/0.55 [7] ALPHA_NOT_IMPLY : ~(member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), difference(skolem_B1818, skolem_D2020)) => member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_C1919))
% 0.15/0.55 -> [10] member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), difference(skolem_B1818, skolem_D2020)), ~member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_C1919)
% 0.15/0.55
% 0.15/0.55 [10] Rewrite : member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), difference(skolem_B1818, skolem_D2020))
% 0.15/0.55 -> [12] (member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_B1818) & ~member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_D2020))
% 0.15/0.55
% 0.15/0.55 [12] ALPHA_AND : (member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_B1818) & ~member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_D2020))
% 0.15/0.55 -> [14] member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_B1818), ~member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_D2020)
% 0.15/0.55
% 0.15/0.55 [14] GAMMA_FORALL : ! [B12_12, C13_13] : (=(union(B12_12, C13_13), union(C13_13, B12_12)))
% 0.15/0.55 -> [16] =(union(B12_1_0, C13_1_0), union(C13_1_0, B12_1_0))
% 0.15/0.55
% 0.15/0.55 [16] GAMMA_FORALL : ! [B14_14] : (subset(B14_14, B14_14))
% 0.15/0.55 -> [18] subset(B14_1_1, B14_1_1)
% 0.15/0.55
% 0.15/0.55 [18] Rewrite : subset(B14_1_1, B14_1_1)
% 0.15/0.55 -> [23] ! [D11_11] : ((member(D11_11, B14_1_1) => member(D11_11, B14_1_1)))
% 0.15/0.55
% 0.15/0.55 [23] GAMMA_FORALL : ! [B15_15, C16_16] : ((=(B15_15, C16_16) <=> ! [D17_17] : ((member(D17_17, B15_15) <=> member(D17_17, C16_16)))))
% 0.15/0.55 -> [24] (=(C16_1_2, C16_1_2) <=> ! [D17_17] : ((member(D17_17, C16_1_2) <=> member(D17_17, C16_1_2))))
% 0.15/0.55
% 0.15/0.55 [24] BETA_EQUIV : (=(C16_1_2, C16_1_2) <=> ! [D17_17] : ((member(D17_17, C16_1_2) <=> member(D17_17, C16_1_2))))
% 0.15/0.55 -> [25] ~=(C16_1_2, C16_1_2), ~! [D17_17] : ((member(D17_17, C16_1_2) <=> member(D17_17, C16_1_2)))
% 0.15/0.55 -> [26] =(C16_1_2, C16_1_2), ! [D17_17] : ((member(D17_17, C16_1_2) <=> member(D17_17, C16_1_2)))
% 0.15/0.55
% 0.15/0.55 [25] DELTA_NOT_FORALL : ~! [D17_17] : ((member(D17_17, C16_1_2) <=> member(D17_17, C16_1_2)))
% 0.15/0.55 -> [28] ~(member(skolem_D1717(C16_1_2, C16_1_2), C16_1_2) <=> member(skolem_D1717(C16_1_2, C16_1_2), C16_1_2))
% 0.15/0.55
% 0.15/0.55 [28] CLOSURE : ~! [D17_17] : ((member(D17_17, C16_1_2) <=> member(D17_17, C16_1_2)))
% 0.15/0.55
% 0.15/0.55 [26] GAMMA_FORALL : ! [D11_11] : ((member(D11_11, skolem_B1818) => member(D11_11, union(skolem_C1919, skolem_D2020))))
% 0.15/0.55 -> [32] (member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_B1818) => member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), union(skolem_C1919, skolem_D2020)))
% 0.15/0.55
% 0.15/0.55 [32] BETA_IMPLY : (member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_B1818) => member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), union(skolem_C1919, skolem_D2020)))
% 0.15/0.55 -> [33] ~member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_B1818)
% 0.15/0.55 -> [34] member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), union(skolem_C1919, skolem_D2020))
% 0.15/0.55
% 0.15/0.55 [33] CLOSURE : =
% 0.15/0.55
% 0.15/0.55 [34] Rewrite : member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), union(skolem_C1919, skolem_D2020))
% 0.15/0.55 -> [38] (member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_C1919) | member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_D2020))
% 0.15/0.55
% 0.15/0.55 [38] BETA_OR : (member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_C1919) | member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_D2020))
% 0.15/0.55 -> [39] member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_C1919)
% 0.15/0.55 -> [40] member(skolem_D1111(difference(skolem_B1818, skolem_D2020), skolem_C1919), skolem_D2020)
% 0.15/0.55
% 0.15/0.55 [39] CLOSURE : =
% 0.15/0.55
% 0.15/0.55 [40] CLOSURE : =
% 0.15/0.55
% 0.15/0.55 % SZS output end Proof for theBenchmark.p
% 0.15/0.55 [0.243450s][1][Res] 1090 goroutines created
% 0.15/0.55 ==== Result ====
% 0.15/0.55 [0.243497s][1][Res] VALID
% 0.15/0.55 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------