TSTP Solution File: SET604+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n024.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 04:16:49 EDT 2022
% Result : Theorem 3.66s 1.08s
% Output : Proof 3.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n024.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
% 0.13/0.33 % DateTime : Sat Sep 3 06:55:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.19/0.34 Start search
% 0.19/0.34 nb_step : 1 - limit : 11
% 0.19/0.34 Launch Gotab with destructive = true
% 3.66/1.07 % SZS output start Proof for theBenchmark.p
% 3.66/1.08 [0] ALPHA_AND : (! [B3_3] : (subset(empty_set, B3_3)) & ! [B4_4, C5_5] : ((=(difference(B4_4, C5_5), empty_set) <=> subset(B4_4, C5_5))) & ! [B6_6] : (~member(B6_6, empty_set)) & ! [B10_10, C11_11] : ((=(B10_10, C11_11) <=> (subset(B10_10, C11_11) & subset(C11_11, B10_10)))) & ! [B15_15] : (subset(B15_15, B15_15)) & ~! [B18_18] : (=(difference(empty_set, B18_18), empty_set)))
% 3.66/1.08 -> [1] ! [B3_3] : (subset(empty_set, B3_3)), ! [B4_4, C5_5] : ((=(difference(B4_4, C5_5), empty_set) <=> subset(B4_4, C5_5))), ! [B6_6] : (~member(B6_6, empty_set)), ! [B10_10, C11_11] : ((=(B10_10, C11_11) <=> (subset(B10_10, C11_11) & subset(C11_11, B10_10)))), ! [B15_15] : (subset(B15_15, B15_15)), ~! [B18_18] : (=(difference(empty_set, B18_18), empty_set))
% 3.66/1.08
% 3.66/1.08 [1] DELTA_NOT_FORALL : ~! [B18_18] : (=(difference(empty_set, B18_18), empty_set))
% 3.66/1.08 -> [2] ~=(difference(empty_set, skolem_B1818), empty_set)
% 3.66/1.08
% 3.66/1.08 [2] GAMMA_FORALL : ! [B3_3] : (subset(empty_set, B3_3))
% 3.66/1.08 -> [3] subset(empty_set, B3_0_0)
% 3.66/1.08
% 3.66/1.08 [3] Rewrite : subset(empty_set, B3_0_0)
% 3.66/1.08 -> [4] ! [D14_14] : ((member(D14_14, empty_set) => member(D14_14, B3_0_0)))
% 3.66/1.08
% 3.66/1.08 [4] GAMMA_FORALL : ! [B4_4, C5_5] : ((=(difference(B4_4, C5_5), empty_set) <=> subset(B4_4, C5_5)))
% 3.66/1.08 -> [5] (=(difference(B4_0_1, B4_0_1), empty_set) <=> subset(B4_0_1, B4_0_1))
% 3.66/1.08
% 3.66/1.08 [5] BETA_EQUIV : (=(difference(B4_0_1, B4_0_1), empty_set) <=> subset(B4_0_1, B4_0_1))
% 3.66/1.08 -> [6] ~=(difference(B4_0_1, B4_0_1), empty_set), ~subset(B4_0_1, B4_0_1)
% 3.66/1.08 -> [7] =(difference(B4_0_1, B4_0_1), empty_set), subset(B4_0_1, B4_0_1)
% 3.66/1.08
% 3.66/1.08 [6] Rewrite : ~subset(B4_0_1, B4_0_1)
% 3.66/1.08 -> [8] ~(member(skolem_D1414(B4_0_1, B4_0_1), B4_0_1) => member(skolem_D1414(B4_0_1, B4_0_1), B4_0_1))
% 3.66/1.08
% 3.66/1.08 [8] ALPHA_NOT_IMPLY : ~(member(skolem_D1414(B4_0_1, B4_0_1), B4_0_1) => member(skolem_D1414(B4_0_1, B4_0_1), B4_0_1))
% 3.66/1.08 -> [9] member(skolem_D1414(B4_0_1, B4_0_1), B4_0_1), ~member(skolem_D1414(B4_0_1, B4_0_1), B4_0_1)
% 3.66/1.08
% 3.66/1.08 [9] CLOSURE : ~member(skolem_D1414(B4_0_1, B4_0_1), B4_0_1)
% 3.66/1.08
% 3.66/1.08 [7] Rewrite : subset(B4_0_1, B4_0_1)
% 3.66/1.08 -> [10] ! [D14_14] : ((member(D14_14, B4_0_1) => member(D14_14, B4_0_1)))
% 3.66/1.08
% 3.66/1.08 [10] GAMMA_FORALL : ! [B6_6] : (~member(B6_6, empty_set))
% 3.66/1.08 -> [11] ~member(skolem_D1414(empty_set, difference(empty_set, skolem_B1818)), empty_set)
% 3.66/1.08
% 3.66/1.08 [11] GAMMA_FORALL : ! [B10_10, C11_11] : ((=(B10_10, C11_11) <=> (subset(B10_10, C11_11) & subset(C11_11, B10_10))))
% 3.66/1.08 -> [12] (=(difference(empty_set, skolem_B1818), empty_set) <=> (subset(difference(empty_set, skolem_B1818), empty_set) & subset(empty_set, difference(empty_set, skolem_B1818))))
% 3.66/1.08
% 3.66/1.08 [12] BETA_EQUIV : (=(difference(empty_set, skolem_B1818), empty_set) <=> (subset(difference(empty_set, skolem_B1818), empty_set) & subset(empty_set, difference(empty_set, skolem_B1818))))
% 3.66/1.08 -> [13] ~=(difference(empty_set, skolem_B1818), empty_set), ~(subset(difference(empty_set, skolem_B1818), empty_set) & subset(empty_set, difference(empty_set, skolem_B1818)))
% 3.66/1.08 -> [14] =(difference(empty_set, skolem_B1818), empty_set), (subset(difference(empty_set, skolem_B1818), empty_set) & subset(empty_set, difference(empty_set, skolem_B1818)))
% 3.66/1.08
% 3.66/1.08 [14] ALPHA_AND : (subset(difference(empty_set, skolem_B1818), empty_set) & subset(empty_set, difference(empty_set, skolem_B1818)))
% 3.66/1.08 -> [15] subset(difference(empty_set, skolem_B1818), empty_set), subset(empty_set, difference(empty_set, skolem_B1818))
% 3.66/1.08
% 3.66/1.08 [15] CLOSURE : =
% 3.66/1.08
% 3.66/1.08 [13] BETA_NOT_AND : ~(subset(difference(empty_set, skolem_B1818), empty_set) & subset(empty_set, difference(empty_set, skolem_B1818)))
% 3.66/1.08 -> [63] ~subset(difference(empty_set, skolem_B1818), empty_set)
% 3.66/1.08 -> [64] ~subset(empty_set, difference(empty_set, skolem_B1818))
% 3.66/1.08
% 3.66/1.08 [64] Rewrite : ~subset(empty_set, difference(empty_set, skolem_B1818))
% 3.66/1.08 -> [66] ~(member(skolem_D1414(empty_set, difference(empty_set, skolem_B1818)), empty_set) => member(skolem_D1414(empty_set, difference(empty_set, skolem_B1818)), difference(empty_set, skolem_B1818)))
% 3.66/1.08
% 3.66/1.08 [66] ALPHA_NOT_IMPLY : ~(member(skolem_D1414(empty_set, difference(empty_set, skolem_B1818)), empty_set) => member(skolem_D1414(empty_set, difference(empty_set, skolem_B1818)), difference(empty_set, skolem_B1818)))
% 3.66/1.08 -> [68] member(skolem_D1414(empty_set, difference(empty_set, skolem_B1818)), empty_set), ~member(skolem_D1414(empty_set, difference(empty_set, skolem_B1818)), difference(empty_set, skolem_B1818))
% 3.66/1.08
% 3.66/1.08 [68] CLOSURE : =
% 3.66/1.08
% 3.66/1.08 [63] Rewrite : ~subset(difference(empty_set, skolem_B1818), empty_set)
% 3.66/1.08 -> [65] ~(member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), difference(empty_set, skolem_B1818)) => member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), empty_set))
% 3.66/1.08
% 3.66/1.08 [65] ALPHA_NOT_IMPLY : ~(member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), difference(empty_set, skolem_B1818)) => member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), empty_set))
% 3.66/1.08 -> [67] member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), difference(empty_set, skolem_B1818)), ~member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), empty_set)
% 3.66/1.08
% 3.66/1.08 [67] Rewrite : member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), difference(empty_set, skolem_B1818))
% 3.66/1.08 -> [69] (member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), empty_set) & ~member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), skolem_B1818))
% 3.66/1.08
% 3.66/1.08 [69] ALPHA_AND : (member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), empty_set) & ~member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), skolem_B1818))
% 3.66/1.08 -> [70] member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), empty_set), ~member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), skolem_B1818)
% 3.66/1.08
% 3.66/1.08 [70] CLOSURE : member(skolem_D1414(difference(empty_set, skolem_B1818), empty_set), empty_set)
% 3.66/1.08
% 3.66/1.08 % SZS output end Proof for theBenchmark.p
% 3.66/1.08 [0.738319s][1][Res] 4692 goroutines created
% 3.66/1.08 ==== Result ====
% 3.66/1.08 [0.738352s][1][Res] VALID
% 3.66/1.08 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------