TSTP Solution File: SET574+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET574+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n011.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 04:16:40 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET574+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n011.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 06:42:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000057s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 4
% 0.13/0.35 Launch Gotab with destructive = true
% 0.13/0.36 % SZS output start Proof for theBenchmark.p
% 0.13/0.36 [0] ALPHA_AND : (! [B6_6, C7_7] : ((intersect(B6_6, C7_7) => intersect(C7_7, B6_6))) & ~! [B8_8, C9_9, D10_10] : (((member(B8_8, C9_9) & member(B8_8, D10_10)) => intersect(C9_9, D10_10))))
% 0.13/0.36 -> [1] ! [B6_6, C7_7] : ((intersect(B6_6, C7_7) => intersect(C7_7, B6_6))), ~! [B8_8, C9_9, D10_10] : (((member(B8_8, C9_9) & member(B8_8, D10_10)) => intersect(C9_9, D10_10)))
% 0.13/0.36
% 0.13/0.36 [1] DELTA_NOT_FORALL : ~! [B8_8, C9_9, D10_10] : (((member(B8_8, C9_9) & member(B8_8, D10_10)) => intersect(C9_9, D10_10)))
% 0.13/0.36 -> [2] ~((member(skolem_B88, skolem_C99) & member(skolem_B88, skolem_D1010)) => intersect(skolem_C99, skolem_D1010))
% 0.13/0.36
% 0.13/0.36 [2] ALPHA_NOT_IMPLY : ~((member(skolem_B88, skolem_C99) & member(skolem_B88, skolem_D1010)) => intersect(skolem_C99, skolem_D1010))
% 0.13/0.36 -> [3] (member(skolem_B88, skolem_C99) & member(skolem_B88, skolem_D1010)), ~intersect(skolem_C99, skolem_D1010)
% 0.13/0.36
% 0.13/0.36 [3] Rewrite : ~intersect(skolem_C99, skolem_D1010)
% 0.13/0.36 -> [4] ~? [D5_5] : ((member(D5_5, skolem_C99) & member(D5_5, skolem_D1010)))
% 0.13/0.36
% 0.13/0.36 [4] ALPHA_AND : (member(skolem_B88, skolem_C99) & member(skolem_B88, skolem_D1010))
% 0.13/0.36 -> [5] member(skolem_B88, skolem_C99), member(skolem_B88, skolem_D1010)
% 0.13/0.36
% 0.13/0.36 [5] GAMMA_FORALL : ! [B6_6, C7_7] : ((intersect(B6_6, C7_7) => intersect(C7_7, B6_6)))
% 0.13/0.36 -> [6] (intersect(B6_0_0, C7_0_0) => intersect(C7_0_0, B6_0_0))
% 0.13/0.36
% 0.13/0.36 [6] BETA_IMPLY : (intersect(B6_0_0, C7_0_0) => intersect(C7_0_0, B6_0_0))
% 0.13/0.36 -> [7] ~intersect(B6_0_0, C7_0_0)
% 0.13/0.36 -> [8] intersect(C7_0_0, B6_0_0)
% 0.13/0.36
% 0.13/0.36 [7] Rewrite : ~intersect(B6_0_0, C7_0_0)
% 0.13/0.36 -> [9] ~? [D5_5] : ((member(D5_5, B6_0_0) & member(D5_5, C7_0_0)))
% 0.13/0.36
% 0.13/0.36 [9] GAMMA_NOT_EXISTS : ~? [D5_5] : ((member(D5_5, skolem_C99) & member(D5_5, skolem_D1010)))
% 0.13/0.36 -> [11] ~(member(skolem_B88, skolem_C99) & member(skolem_B88, skolem_D1010))
% 0.13/0.36
% 0.13/0.36 [11] BETA_NOT_AND : ~(member(skolem_B88, skolem_C99) & member(skolem_B88, skolem_D1010))
% 0.13/0.36 -> [12] ~member(skolem_B88, skolem_C99)
% 0.13/0.36 -> [13] ~member(skolem_B88, skolem_D1010)
% 0.13/0.36
% 0.13/0.36 [13] CLOSURE : ~member(skolem_B88, skolem_D1010)
% 0.13/0.36
% 0.13/0.36 [12] CLOSURE : ~member(skolem_B88, skolem_C99)
% 0.13/0.36
% 0.13/0.36 [8] Rewrite : intersect(C7_0_0, B6_0_0)
% 0.13/0.36 -> [10] (member(skolem_D55(C7_0_0, B6_0_0), C7_0_0) & member(skolem_D55(C7_0_0, B6_0_0), B6_0_0))
% 0.13/0.36
% 0.13/0.36 [10] ALPHA_AND : (member(skolem_D55(C7_0_0, B6_0_0), C7_0_0) & member(skolem_D55(C7_0_0, B6_0_0), B6_0_0))
% 0.13/0.36 -> [14] member(skolem_D55(C7_0_0, B6_0_0), C7_0_0), member(skolem_D55(C7_0_0, B6_0_0), B6_0_0)
% 0.13/0.36
% 0.13/0.36 [14] GAMMA_NOT_EXISTS : ~? [D5_5] : ((member(D5_5, skolem_C99) & member(D5_5, skolem_D1010)))
% 0.13/0.36 -> [15] ~(member(skolem_B88, skolem_C99) & member(skolem_B88, skolem_D1010))
% 0.13/0.36
% 0.13/0.36 [15] BETA_NOT_AND : ~(member(skolem_B88, skolem_C99) & member(skolem_B88, skolem_D1010))
% 0.13/0.36 -> [16] ~member(skolem_B88, skolem_C99)
% 0.13/0.36 -> [17] ~member(skolem_B88, skolem_D1010)
% 0.13/0.36
% 0.13/0.36 [16] CLOSURE : ~member(skolem_B88, skolem_C99)
% 0.13/0.36
% 0.13/0.36 [17] CLOSURE : ~member(skolem_B88, skolem_D1010)
% 0.13/0.36
% 0.13/0.36 % SZS output end Proof for theBenchmark.p
% 0.13/0.36 [0.012808s][1][Res] 28 goroutines created
% 0.13/0.36 ==== Result ====
% 0.13/0.36 [0.012845s][1][Res] VALID
% 0.13/0.36 % SZS status Theorem for theBenchmark.p
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