TSTP Solution File: SET183+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET183+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n023.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 04:15:43 EDT 2022
% Result : Theorem 0.14s 0.96s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.33 % Problem : SET183+3 : TPTP v8.1.0. Released v2.2.0.
% 0.05/0.34 % Command : goeland -dmt -presko -proof %s
% 0.11/0.53 % Computer : n023.cluster.edu
% 0.11/0.53 % Model : x86_64 x86_64
% 0.11/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.53 % Memory : 8042.1875MB
% 0.11/0.53 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.53 % CPULimit : 300
% 0.11/0.53 % WCLimit : 300
% 0.11/0.53 % DateTime : Sat Sep 3 03:35:33 EDT 2022
% 0.11/0.53 % CPUTime :
% 0.14/0.54 [DMT] DMT loaded with preskolemization
% 0.14/0.54 [EQ] equality loaded.
% 0.14/0.54 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.14/0.54 Start search
% 0.14/0.54 nb_step : 1 - limit : 10
% 0.14/0.54 Launch Gotab with destructive = true
% 0.14/0.96 % SZS output start Proof for theBenchmark.p
% 0.14/0.96 [0] ALPHA_AND : (! [B6_6, C7_7] : (subset(intersection(B6_6, C7_7), B6_6)) & ! [B11_11, C12_12] : ((=(B11_11, C12_12) <=> (subset(B11_11, C12_12) & subset(C12_12, B11_11)))) & ! [B13_13, C14_14] : (=(intersection(B13_13, C14_14), intersection(C14_14, B13_13))) & ! [B15_15] : (subset(B15_15, B15_15)) & ! [B16_16, C17_17] : ((=(B16_16, C17_17) <=> ! [D18_18] : ((member(D18_18, B16_16) <=> member(D18_18, C17_17))))) & ~! [B19_19, C20_20] : ((subset(B19_19, C20_20) => =(intersection(B19_19, C20_20), B19_19))))
% 0.14/0.96 -> [1] ! [B6_6, C7_7] : (subset(intersection(B6_6, C7_7), B6_6)), ! [B11_11, C12_12] : ((=(B11_11, C12_12) <=> (subset(B11_11, C12_12) & subset(C12_12, B11_11)))), ! [B13_13, C14_14] : (=(intersection(B13_13, C14_14), intersection(C14_14, B13_13))), ! [B15_15] : (subset(B15_15, B15_15)), ! [B16_16, C17_17] : ((=(B16_16, C17_17) <=> ! [D18_18] : ((member(D18_18, B16_16) <=> member(D18_18, C17_17))))), ~! [B19_19, C20_20] : ((subset(B19_19, C20_20) => =(intersection(B19_19, C20_20), B19_19)))
% 0.14/0.96
% 0.14/0.96 [1] DELTA_NOT_FORALL : ~! [B19_19, C20_20] : ((subset(B19_19, C20_20) => =(intersection(B19_19, C20_20), B19_19)))
% 0.14/0.96 -> [2] ~(subset(skolem_B1919, skolem_C2020) => =(intersection(skolem_B1919, skolem_C2020), skolem_B1919))
% 0.14/0.96
% 0.14/0.96 [2] ALPHA_NOT_IMPLY : ~(subset(skolem_B1919, skolem_C2020) => =(intersection(skolem_B1919, skolem_C2020), skolem_B1919))
% 0.14/0.96 -> [3] subset(skolem_B1919, skolem_C2020), ~=(intersection(skolem_B1919, skolem_C2020), skolem_B1919)
% 0.14/0.96
% 0.14/0.96 [3] Rewrite : subset(skolem_B1919, skolem_C2020)
% 0.14/0.96 -> [4] ! [D10_10] : ((member(D10_10, skolem_B1919) => member(D10_10, skolem_C2020)))
% 0.14/0.96
% 0.14/0.96 [4] GAMMA_FORALL : ! [B6_6, C7_7] : (subset(intersection(B6_6, C7_7), B6_6))
% 0.14/0.96 -> [5] subset(intersection(B6_0_0, C7_0_0), B6_0_0)
% 0.14/0.96
% 0.14/0.96 [5] Rewrite : subset(intersection(B6_0_0, C7_0_0), B6_0_0)
% 0.14/0.96 -> [6] ! [D10_10] : ((member(D10_10, intersection(B6_0_0, C7_0_0)) => member(D10_10, B6_0_0)))
% 0.14/0.96
% 0.14/0.96 [6] GAMMA_FORALL : ! [B11_11, C12_12] : ((=(B11_11, C12_12) <=> (subset(B11_11, C12_12) & subset(C12_12, B11_11))))
% 0.14/0.96 -> [7] (=(C12_0_1, C12_0_1) <=> (subset(C12_0_1, C12_0_1) & subset(C12_0_1, C12_0_1)))
% 0.14/0.96
% 0.14/0.96 [7] BETA_EQUIV : (=(C12_0_1, C12_0_1) <=> (subset(C12_0_1, C12_0_1) & subset(C12_0_1, C12_0_1)))
% 0.14/0.96 -> [8] ~=(C12_0_1, C12_0_1), ~(subset(C12_0_1, C12_0_1) & subset(C12_0_1, C12_0_1))
% 0.14/0.96 -> [9] =(C12_0_1, C12_0_1), (subset(C12_0_1, C12_0_1) & subset(C12_0_1, C12_0_1))
% 0.14/0.96
% 0.14/0.96 [8] CLOSURE : ~=(C12_0_1, C12_0_1)
% 0.14/0.96
% 0.14/0.96 [10] Rewrite : subset(C12_0_1, C12_0_1)
% 0.14/0.96 -> [11] ! [D10_10] : ((member(D10_10, C12_0_1) => member(D10_10, C12_0_1)))
% 0.14/0.96
% 0.14/0.96 [11] GAMMA_FORALL : ! [B13_13, C14_14] : (=(intersection(B13_13, C14_14), intersection(C14_14, B13_13)))
% 0.14/0.96 -> [12] =(intersection(B13_0_2, C14_0_2), intersection(C14_0_2, B13_0_2))
% 0.14/0.96
% 0.14/0.96 [12] GAMMA_FORALL : ! [B15_15] : (subset(B15_15, B15_15))
% 0.14/0.96 -> [13] subset(B15_0_3, B15_0_3)
% 0.14/0.96
% 0.14/0.96 [13] Rewrite : subset(B15_0_3, B15_0_3)
% 0.14/0.96 -> [14] ! [D10_10] : ((member(D10_10, B15_0_3) => member(D10_10, B15_0_3)))
% 0.14/0.96
% 0.14/0.96 [14] GAMMA_FORALL : ! [B16_16, C17_17] : ((=(B16_16, C17_17) <=> ! [D18_18] : ((member(D18_18, B16_16) <=> member(D18_18, C17_17)))))
% 0.14/0.96 -> [15] (=(skolem_B1919, intersection(skolem_B1919, skolem_C2020)) <=> ! [D18_18] : ((member(D18_18, skolem_B1919) <=> member(D18_18, intersection(skolem_B1919, skolem_C2020)))))
% 0.14/0.96
% 0.14/0.96 [15] BETA_EQUIV : (=(skolem_B1919, intersection(skolem_B1919, skolem_C2020)) <=> ! [D18_18] : ((member(D18_18, skolem_B1919) <=> member(D18_18, intersection(skolem_B1919, skolem_C2020)))))
% 0.14/0.96 -> [16] ~=(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), ~! [D18_18] : ((member(D18_18, skolem_B1919) <=> member(D18_18, intersection(skolem_B1919, skolem_C2020))))
% 0.14/0.96 -> [17] =(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), ! [D18_18] : ((member(D18_18, skolem_B1919) <=> member(D18_18, intersection(skolem_B1919, skolem_C2020))))
% 0.14/0.96
% 0.14/0.96 [17] CLOSURE : =
% 0.14/0.96
% 0.14/0.96 [18] BETA_NOT_EQUIV : ~(member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919) <=> member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), intersection(skolem_B1919, skolem_C2020)))
% 0.14/0.96 -> [61] ~member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919), member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), intersection(skolem_B1919, skolem_C2020))
% 0.14/0.96 -> [62] member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919), ~member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), intersection(skolem_B1919, skolem_C2020))
% 0.14/0.96
% 0.14/0.96 [61] Rewrite : member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), intersection(skolem_B1919, skolem_C2020))
% 0.14/0.96 -> [66] (member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919) & member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_C2020))
% 0.14/0.96
% 0.14/0.96 [66] ALPHA_AND : (member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919) & member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_C2020))
% 0.14/0.96 -> [67] member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919), member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_C2020)
% 0.14/0.96
% 0.14/0.96 [67] CLOSURE : member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919)
% 0.14/0.96
% 0.14/0.96 [62] Rewrite : ~member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), intersection(skolem_B1919, skolem_C2020))
% 0.14/0.96 -> [63] ~(member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919) & member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_C2020))
% 0.14/0.96
% 0.14/0.96 [63] BETA_NOT_AND : ~(member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919) & member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_C2020))
% 0.14/0.96 -> [64] ~member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919)
% 0.14/0.96 -> [65] ~member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_C2020)
% 0.14/0.96
% 0.14/0.96 [64] CLOSURE : ~member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919)
% 0.14/0.96
% 0.14/0.96 [65] GAMMA_FORALL : ! [D10_10] : ((member(D10_10, skolem_B1919) => member(D10_10, skolem_C2020)))
% 0.14/0.96 -> [68] (member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919) => member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_C2020))
% 0.14/0.96
% 0.14/0.96 [68] BETA_IMPLY : (member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919) => member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_C2020))
% 0.14/0.96 -> [69] ~member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_B1919)
% 0.14/0.96 -> [70] member(skolem_D1818(skolem_B1919, intersection(skolem_B1919, skolem_C2020)), skolem_C2020)
% 0.14/0.96
% 0.14/0.96 [69] CLOSURE : =
% 0.14/0.96
% 0.14/0.96 [70] CLOSURE : =
% 0.14/0.96
% 0.14/0.96 % SZS output end Proof for theBenchmark.p
% 0.14/0.96 [0.422063s][1][Res] 2305 goroutines created
% 0.14/0.96 ==== Result ====
% 0.14/0.96 [0.422096s][1][Res] VALID
% 0.14/0.96 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------