TSTP Solution File: SET573+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET573+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n022.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 04:16:39 EDT 2022
% Result : Theorem 0.21s 0.45s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET573+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Sep 3 06:45:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 5
% 0.13/0.35 Launch Gotab with destructive = true
% 0.21/0.45 % SZS output start Proof for theBenchmark.p
% 0.21/0.45 [0] ALPHA_AND : (! [B6_6, C7_7] : ((disjoint(B6_6, C7_7) <=> ~intersect(B6_6, C7_7))) & ! [B8_8, C9_9] : ((intersect(B8_8, C9_9) => intersect(C9_9, B8_8))) & ~! [B10_10, C11_11, D12_12] : (((member(B10_10, C11_11) & disjoint(C11_11, D12_12)) => ~member(B10_10, D12_12))))
% 0.21/0.45 -> [1] ! [B6_6, C7_7] : ((disjoint(B6_6, C7_7) <=> ~intersect(B6_6, C7_7))), ! [B8_8, C9_9] : ((intersect(B8_8, C9_9) => intersect(C9_9, B8_8))), ~! [B10_10, C11_11, D12_12] : (((member(B10_10, C11_11) & disjoint(C11_11, D12_12)) => ~member(B10_10, D12_12)))
% 0.21/0.45
% 0.21/0.45 [1] DELTA_NOT_FORALL : ~! [B10_10, C11_11, D12_12] : (((member(B10_10, C11_11) & disjoint(C11_11, D12_12)) => ~member(B10_10, D12_12)))
% 0.21/0.45 -> [2] ~((member(skolem_B1010, skolem_C1111) & disjoint(skolem_C1111, skolem_D1212)) => ~member(skolem_B1010, skolem_D1212))
% 0.21/0.45
% 0.21/0.45 [2] ALPHA_NOT_IMPLY : ~((member(skolem_B1010, skolem_C1111) & disjoint(skolem_C1111, skolem_D1212)) => ~member(skolem_B1010, skolem_D1212))
% 0.21/0.45 -> [3] (member(skolem_B1010, skolem_C1111) & disjoint(skolem_C1111, skolem_D1212)), ~~member(skolem_B1010, skolem_D1212)
% 0.21/0.45
% 0.21/0.45 [3] ALPHA_AND : (member(skolem_B1010, skolem_C1111) & disjoint(skolem_C1111, skolem_D1212))
% 0.21/0.45 -> [4] member(skolem_B1010, skolem_C1111), disjoint(skolem_C1111, skolem_D1212)
% 0.21/0.45
% 0.21/0.45 [4] ALPHA_NOT_NOT : ~~member(skolem_B1010, skolem_D1212)
% 0.21/0.45 -> [5] member(skolem_B1010, skolem_D1212)
% 0.21/0.45
% 0.21/0.45 [5] GAMMA_FORALL : ! [B6_6, C7_7] : ((disjoint(B6_6, C7_7) <=> ~intersect(B6_6, C7_7)))
% 0.21/0.45 -> [6] (disjoint(skolem_C1111, skolem_D1212) <=> ~intersect(skolem_C1111, skolem_D1212))
% 0.21/0.45
% 0.21/0.45 [6] BETA_EQUIV : (disjoint(skolem_C1111, skolem_D1212) <=> ~intersect(skolem_C1111, skolem_D1212))
% 0.21/0.45 -> [7] ~disjoint(skolem_C1111, skolem_D1212), ~~intersect(skolem_C1111, skolem_D1212)
% 0.21/0.45 -> [8] disjoint(skolem_C1111, skolem_D1212), ~intersect(skolem_C1111, skolem_D1212)
% 0.21/0.45
% 0.21/0.45 [7] ALPHA_NOT_NOT : ~~intersect(skolem_C1111, skolem_D1212)
% 0.21/0.45 -> [9] intersect(skolem_C1111, skolem_D1212)
% 0.21/0.45
% 0.21/0.45 [9] CLOSURE : ~~intersect(skolem_C1111, skolem_D1212)
% 0.21/0.45
% 0.21/0.45 [8] GAMMA_FORALL : ! [B8_8, C9_9] : ((intersect(B8_8, C9_9) => intersect(C9_9, B8_8)))
% 0.21/0.45 -> [26] (intersect(B8_1_1, C9_1_1) => intersect(C9_1_1, B8_1_1))
% 0.21/0.45
% 0.21/0.45 [26] BETA_IMPLY : (intersect(B8_1_1, C9_1_1) => intersect(C9_1_1, B8_1_1))
% 0.21/0.45 -> [27] ~intersect(B8_1_1, C9_1_1)
% 0.21/0.45 -> [28] intersect(C9_1_1, B8_1_1)
% 0.21/0.45
% 0.21/0.45 [27] Rewrite : ~intersect(B8_1_1, C9_1_1)
% 0.21/0.45 -> [29] ~? [D5_5] : ((member(D5_5, B8_1_1) & member(D5_5, C9_1_1)))
% 0.21/0.45
% 0.21/0.45 [29] GAMMA_NOT_EXISTS : ~? [D5_5] : ((member(D5_5, skolem_C1111) & member(D5_5, skolem_D1212)))
% 0.21/0.45 -> [31] ~(member(skolem_B1010, skolem_C1111) & member(skolem_B1010, skolem_D1212))
% 0.21/0.45
% 0.21/0.45 [31] BETA_NOT_AND : ~(member(skolem_B1010, skolem_C1111) & member(skolem_B1010, skolem_D1212))
% 0.21/0.45 -> [33] ~member(skolem_B1010, skolem_C1111)
% 0.21/0.45 -> [34] ~member(skolem_B1010, skolem_D1212)
% 0.21/0.45
% 0.21/0.45 [33] CLOSURE : ~member(skolem_B1010, skolem_C1111)
% 0.21/0.45
% 0.21/0.45 [34] CLOSURE : ~member(skolem_B1010, skolem_D1212)
% 0.21/0.45
% 0.21/0.45 [28] Rewrite : intersect(C9_1_1, B8_1_1)
% 0.21/0.45 -> [30] (member(skolem_D55(C9_1_1, B8_1_1), C9_1_1) & member(skolem_D55(C9_1_1, B8_1_1), B8_1_1))
% 0.21/0.45
% 0.21/0.45 [30] ALPHA_AND : (member(skolem_D55(C9_1_1, B8_1_1), C9_1_1) & member(skolem_D55(C9_1_1, B8_1_1), B8_1_1))
% 0.21/0.45 -> [32] member(skolem_D55(C9_1_1, B8_1_1), C9_1_1), member(skolem_D55(C9_1_1, B8_1_1), B8_1_1)
% 0.21/0.45
% 0.21/0.45 [32] GAMMA_NOT_EXISTS : ~? [D5_5] : ((member(D5_5, skolem_C1111) & member(D5_5, skolem_D1212)))
% 0.21/0.45 -> [35] ~(member(skolem_B1010, skolem_C1111) & member(skolem_B1010, skolem_D1212))
% 0.21/0.45
% 0.21/0.45 [35] BETA_NOT_AND : ~(member(skolem_B1010, skolem_C1111) & member(skolem_B1010, skolem_D1212))
% 0.21/0.45 -> [36] ~member(skolem_B1010, skolem_C1111)
% 0.21/0.45 -> [37] ~member(skolem_B1010, skolem_D1212)
% 0.21/0.45
% 0.21/0.45 [36] CLOSURE : ~member(skolem_B1010, skolem_C1111)
% 0.21/0.45
% 0.21/0.45 [37] CLOSURE : ~member(skolem_B1010, skolem_D1212)
% 0.21/0.45
% 0.21/0.45 % SZS output end Proof for theBenchmark.p
% 0.21/0.45 [0.094831s][1][Res] 164 goroutines created
% 0.21/0.45 ==== Result ====
% 0.21/0.45 [0.094888s][1][Res] VALID
% 0.21/0.45 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------