TSTP Solution File: SET631+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET631+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 04:16:58 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET631+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sat Sep 3 07:04:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.33 Start search
% 0.12/0.33 nb_step : 1 - limit : 5
% 0.12/0.33 Launch Gotab with destructive = true
% 0.12/0.35 % SZS output start Proof for theBenchmark.p
% 0.12/0.36 [0] ALPHA_AND : (! [B9_9, C10_10] : ((intersect(B9_9, C10_10) => intersect(C10_10, B9_9))) & ~! [B11_11, C12_12, D13_13] : ((intersect(B11_11, difference(C12_12, D13_13)) => intersect(B11_11, C12_12))))
% 0.12/0.36 -> [1] ! [B9_9, C10_10] : ((intersect(B9_9, C10_10) => intersect(C10_10, B9_9))), ~! [B11_11, C12_12, D13_13] : ((intersect(B11_11, difference(C12_12, D13_13)) => intersect(B11_11, C12_12)))
% 0.12/0.36
% 0.12/0.36 [1] DELTA_NOT_FORALL : ~! [B11_11, C12_12, D13_13] : ((intersect(B11_11, difference(C12_12, D13_13)) => intersect(B11_11, C12_12)))
% 0.12/0.36 -> [2] ~(intersect(skolem_B1111, difference(skolem_C1212, skolem_D1313)) => intersect(skolem_B1111, skolem_C1212))
% 0.12/0.36
% 0.12/0.36 [2] ALPHA_NOT_IMPLY : ~(intersect(skolem_B1111, difference(skolem_C1212, skolem_D1313)) => intersect(skolem_B1111, skolem_C1212))
% 0.12/0.36 -> [3] intersect(skolem_B1111, difference(skolem_C1212, skolem_D1313)), ~intersect(skolem_B1111, skolem_C1212)
% 0.12/0.36
% 0.12/0.36 [3] Rewrite : intersect(skolem_B1111, difference(skolem_C1212, skolem_D1313))
% 0.12/0.36 -> [4] (member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_B1111) & member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), difference(skolem_C1212, skolem_D1313)))
% 0.12/0.36
% 0.12/0.36 [4] Rewrite : ~intersect(skolem_B1111, skolem_C1212)
% 0.12/0.36 -> [5] ~? [D8_8] : ((member(D8_8, skolem_B1111) & member(D8_8, skolem_C1212)))
% 0.12/0.36
% 0.12/0.36 [5] ALPHA_AND : (member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_B1111) & member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), difference(skolem_C1212, skolem_D1313)))
% 0.12/0.36 -> [6] member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_B1111), member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), difference(skolem_C1212, skolem_D1313))
% 0.12/0.36
% 0.12/0.36 [6] Rewrite : member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), difference(skolem_C1212, skolem_D1313))
% 0.12/0.36 -> [7] (member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_C1212) & ~member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_D1313))
% 0.12/0.36
% 0.12/0.36 [7] ALPHA_AND : (member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_C1212) & ~member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_D1313))
% 0.12/0.36 -> [8] member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_C1212), ~member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_D1313)
% 0.12/0.36
% 0.12/0.36 [8] GAMMA_FORALL : ! [B9_9, C10_10] : ((intersect(B9_9, C10_10) => intersect(C10_10, B9_9)))
% 0.12/0.36 -> [9] (intersect(B9_0_0, C10_0_0) => intersect(C10_0_0, B9_0_0))
% 0.12/0.36
% 0.12/0.36 [9] BETA_IMPLY : (intersect(B9_0_0, C10_0_0) => intersect(C10_0_0, B9_0_0))
% 0.12/0.36 -> [10] ~intersect(B9_0_0, C10_0_0)
% 0.12/0.36 -> [11] intersect(C10_0_0, B9_0_0)
% 0.12/0.36
% 0.12/0.36 [10] Rewrite : ~intersect(B9_0_0, C10_0_0)
% 0.12/0.36 -> [12] ~? [D8_8] : ((member(D8_8, B9_0_0) & member(D8_8, C10_0_0)))
% 0.12/0.36
% 0.12/0.36 [12] GAMMA_NOT_EXISTS : ~? [D8_8] : ((member(D8_8, skolem_B1111) & member(D8_8, skolem_C1212)))
% 0.12/0.36 -> [14] ~(member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_B1111) & member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_C1212))
% 0.12/0.36
% 0.12/0.36 [14] BETA_NOT_AND : ~(member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_B1111) & member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_C1212))
% 0.12/0.36 -> [15] ~member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_B1111)
% 0.12/0.36 -> [16] ~member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_C1212)
% 0.12/0.36
% 0.12/0.36 [15] CLOSURE : ~member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_B1111)
% 0.12/0.36
% 0.12/0.36 [16] CLOSURE : ~member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_C1212)
% 0.12/0.36
% 0.12/0.36 [11] Rewrite : intersect(C10_0_0, B9_0_0)
% 0.12/0.36 -> [13] (member(skolem_D88(C10_0_0, B9_0_0), C10_0_0) & member(skolem_D88(C10_0_0, B9_0_0), B9_0_0))
% 0.12/0.36
% 0.12/0.36 [13] ALPHA_AND : (member(skolem_D88(C10_0_0, B9_0_0), C10_0_0) & member(skolem_D88(C10_0_0, B9_0_0), B9_0_0))
% 0.12/0.36 -> [17] member(skolem_D88(C10_0_0, B9_0_0), C10_0_0), member(skolem_D88(C10_0_0, B9_0_0), B9_0_0)
% 0.12/0.36
% 0.12/0.36 [17] GAMMA_NOT_EXISTS : ~? [D8_8] : ((member(D8_8, skolem_B1111) & member(D8_8, skolem_C1212)))
% 0.12/0.36 -> [18] ~(member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_B1111) & member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_C1212))
% 0.12/0.36
% 0.12/0.36 [18] BETA_NOT_AND : ~(member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_B1111) & member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_C1212))
% 0.12/0.36 -> [19] ~member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_B1111)
% 0.12/0.36 -> [20] ~member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_C1212)
% 0.12/0.36
% 0.12/0.36 [20] CLOSURE : ~member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_C1212)
% 0.12/0.36
% 0.12/0.36 [19] CLOSURE : ~member(skolem_D88(skolem_B1111, difference(skolem_C1212, skolem_D1313)), skolem_B1111)
% 0.12/0.36
% 0.12/0.36 % SZS output end Proof for theBenchmark.p
% 0.12/0.36 [0.023856s][1][Res] 52 goroutines created
% 0.12/0.36 ==== Result ====
% 0.12/0.36 [0.023892s][1][Res] VALID
% 0.12/0.36 % SZS status Theorem for theBenchmark.p
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