TSTP Solution File: SET626+3 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET626+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n016.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 04:16:56 EDT 2022
% Result : Theorem 5.84s 1.38s
% Output : Proof 5.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET626+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n016.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 07:24:22 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 [0.000050s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 8
% 0.13/0.35 Launch Gotab with destructive = true
% 5.84/1.37 % SZS output start Proof for theBenchmark.p
% 5.84/1.38 [0] ALPHA_AND : (! [B9_9, C10_10] : (=(intersection(B9_9, C10_10), intersection(C10_10, B9_9))) & ! [B11_11, C12_12] : ((intersect(B11_11, C12_12) => intersect(C12_12, B11_11))) & ! [B13_13, C14_14] : ((=(B13_13, C14_14) <=> ! [D15_15] : ((member(D15_15, B13_13) <=> member(D15_15, C14_14))))) & ~! [B16_16, C17_17, D18_18] : ((intersect(B16_16, intersection(C17_17, D18_18)) => intersect(B16_16, C17_17))))
% 5.84/1.38 -> [1] ! [B9_9, C10_10] : (=(intersection(B9_9, C10_10), intersection(C10_10, B9_9))), ! [B11_11, C12_12] : ((intersect(B11_11, C12_12) => intersect(C12_12, B11_11))), ! [B13_13, C14_14] : ((=(B13_13, C14_14) <=> ! [D15_15] : ((member(D15_15, B13_13) <=> member(D15_15, C14_14))))), ~! [B16_16, C17_17, D18_18] : ((intersect(B16_16, intersection(C17_17, D18_18)) => intersect(B16_16, C17_17)))
% 5.84/1.38
% 5.84/1.38 [1] DELTA_NOT_FORALL : ~! [B16_16, C17_17, D18_18] : ((intersect(B16_16, intersection(C17_17, D18_18)) => intersect(B16_16, C17_17)))
% 5.84/1.38 -> [2] ~(intersect(skolem_B1616, intersection(skolem_C1717, skolem_D1818)) => intersect(skolem_B1616, skolem_C1717))
% 5.84/1.38
% 5.84/1.38 [2] ALPHA_NOT_IMPLY : ~(intersect(skolem_B1616, intersection(skolem_C1717, skolem_D1818)) => intersect(skolem_B1616, skolem_C1717))
% 5.84/1.38 -> [3] intersect(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), ~intersect(skolem_B1616, skolem_C1717)
% 5.84/1.38
% 5.84/1.38 [3] Rewrite : intersect(skolem_B1616, intersection(skolem_C1717, skolem_D1818))
% 5.84/1.38 -> [4] (member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_B1616) & member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), intersection(skolem_C1717, skolem_D1818)))
% 5.84/1.38
% 5.84/1.38 [4] Rewrite : ~intersect(skolem_B1616, skolem_C1717)
% 5.84/1.38 -> [5] ~? [D8_8] : ((member(D8_8, skolem_B1616) & member(D8_8, skolem_C1717)))
% 5.84/1.38
% 5.84/1.38 [5] ALPHA_AND : (member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_B1616) & member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), intersection(skolem_C1717, skolem_D1818)))
% 5.84/1.38 -> [6] member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_B1616), member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), intersection(skolem_C1717, skolem_D1818))
% 5.84/1.38
% 5.84/1.38 [6] Rewrite : member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), intersection(skolem_C1717, skolem_D1818))
% 5.84/1.38 -> [7] (member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_C1717) & member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_D1818))
% 5.84/1.38
% 5.84/1.38 [7] ALPHA_AND : (member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_C1717) & member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_D1818))
% 5.84/1.38 -> [8] member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_C1717), member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_D1818)
% 5.84/1.38
% 5.84/1.38 [8] GAMMA_FORALL : ! [B9_9, C10_10] : (=(intersection(B9_9, C10_10), intersection(C10_10, B9_9)))
% 5.84/1.38 -> [9] =(intersection(B9_0_0, C10_0_0), intersection(C10_0_0, B9_0_0))
% 5.84/1.38
% 5.84/1.38 [9] GAMMA_FORALL : ! [B11_11, C12_12] : ((intersect(B11_11, C12_12) => intersect(C12_12, B11_11)))
% 5.84/1.38 -> [10] (intersect(B11_0_1, C12_0_1) => intersect(C12_0_1, B11_0_1))
% 5.84/1.38
% 5.84/1.38 [10] BETA_IMPLY : (intersect(B11_0_1, C12_0_1) => intersect(C12_0_1, B11_0_1))
% 5.84/1.38 -> [11] ~intersect(B11_0_1, C12_0_1)
% 5.84/1.38 -> [12] intersect(C12_0_1, B11_0_1)
% 5.84/1.38
% 5.84/1.38 [11] Rewrite : ~intersect(B11_0_1, C12_0_1)
% 5.84/1.38 -> [13] ~? [D8_8] : ((member(D8_8, B11_0_1) & member(D8_8, C12_0_1)))
% 5.84/1.38
% 5.84/1.38 [13] GAMMA_FORALL : ! [B13_13, C14_14] : ((=(B13_13, C14_14) <=> ! [D15_15] : ((member(D15_15, B13_13) <=> member(D15_15, C14_14)))))
% 5.84/1.38 -> [15] (=(C14_0_2, C14_0_2) <=> ! [D15_15] : ((member(D15_15, C14_0_2) <=> member(D15_15, C14_0_2))))
% 5.84/1.38
% 5.84/1.38 [15] BETA_EQUIV : (=(C14_0_2, C14_0_2) <=> ! [D15_15] : ((member(D15_15, C14_0_2) <=> member(D15_15, C14_0_2))))
% 5.84/1.38 -> [17] ~=(C14_0_2, C14_0_2), ~! [D15_15] : ((member(D15_15, C14_0_2) <=> member(D15_15, C14_0_2)))
% 5.84/1.38 -> [18] =(C14_0_2, C14_0_2), ! [D15_15] : ((member(D15_15, C14_0_2) <=> member(D15_15, C14_0_2)))
% 5.84/1.38
% 5.84/1.38 [17] DELTA_NOT_FORALL : ~! [D15_15] : ((member(D15_15, C14_0_2) <=> member(D15_15, C14_0_2)))
% 5.84/1.38 -> [25] ~(member(skolem_D1515(C14_0_2, C14_0_2), C14_0_2) <=> member(skolem_D1515(C14_0_2, C14_0_2), C14_0_2))
% 5.84/1.38
% 5.84/1.38 [25] CLOSURE : ~! [D15_15] : ((member(D15_15, C14_0_2) <=> member(D15_15, C14_0_2)))
% 5.84/1.38
% 5.84/1.38 [20] BETA_NOT_AND : ~(member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_B1616) & member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_C1717))
% 5.84/1.38 -> [30] ~member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_B1616)
% 5.84/1.38 -> [31] ~member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_C1717)
% 5.84/1.38
% 5.84/1.38 [30] CLOSURE : =
% 5.84/1.38
% 5.84/1.38 [31] CLOSURE : =
% 5.84/1.38
% 5.84/1.38 [12] Rewrite : intersect(C12_0_1, B11_0_1)
% 5.84/1.38 -> [14] (member(skolem_D88(C12_0_1, B11_0_1), C12_0_1) & member(skolem_D88(C12_0_1, B11_0_1), B11_0_1))
% 5.84/1.38
% 5.84/1.38 [14] ALPHA_AND : (member(skolem_D88(C12_0_1, B11_0_1), C12_0_1) & member(skolem_D88(C12_0_1, B11_0_1), B11_0_1))
% 5.84/1.38 -> [16] member(skolem_D88(C12_0_1, B11_0_1), C12_0_1), member(skolem_D88(C12_0_1, B11_0_1), B11_0_1)
% 5.84/1.38
% 5.84/1.38 [16] GAMMA_FORALL : ! [B13_13, C14_14] : ((=(B13_13, C14_14) <=> ! [D15_15] : ((member(D15_15, B13_13) <=> member(D15_15, C14_14)))))
% 5.84/1.38 -> [19] (=(C14_1_2, C14_1_2) <=> ! [D15_15] : ((member(D15_15, C14_1_2) <=> member(D15_15, C14_1_2))))
% 5.84/1.38
% 5.84/1.38 [19] BETA_EQUIV : (=(C14_1_2, C14_1_2) <=> ! [D15_15] : ((member(D15_15, C14_1_2) <=> member(D15_15, C14_1_2))))
% 5.84/1.38 -> [23] ~=(C14_1_2, C14_1_2), ~! [D15_15] : ((member(D15_15, C14_1_2) <=> member(D15_15, C14_1_2)))
% 5.84/1.38 -> [24] =(C14_1_2, C14_1_2), ! [D15_15] : ((member(D15_15, C14_1_2) <=> member(D15_15, C14_1_2)))
% 5.84/1.38
% 5.84/1.38 [23] DELTA_NOT_FORALL : ~! [D15_15] : ((member(D15_15, C14_1_2) <=> member(D15_15, C14_1_2)))
% 5.84/1.38 -> [26] ~(member(skolem_D1515(C14_1_2, C14_1_2), C14_1_2) <=> member(skolem_D1515(C14_1_2, C14_1_2), C14_1_2))
% 5.84/1.38
% 5.84/1.38 [26] CLOSURE : ~! [D15_15] : ((member(D15_15, C14_1_2) <=> member(D15_15, C14_1_2)))
% 5.84/1.38
% 5.84/1.38 [27] BETA_NOT_AND : ~(member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_B1616) & member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_C1717))
% 5.84/1.38 -> [32] ~member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_B1616)
% 5.84/1.38 -> [33] ~member(skolem_D88(skolem_B1616, intersection(skolem_C1717, skolem_D1818)), skolem_C1717)
% 5.84/1.38
% 5.84/1.38 [32] CLOSURE : =
% 5.84/1.38
% 5.84/1.38 [33] CLOSURE : =
% 5.84/1.38
% 5.84/1.38 % SZS output end Proof for theBenchmark.p
% 5.84/1.38 [1.026333s][1][Res] 5123 goroutines created
% 5.84/1.38 ==== Result ====
% 5.84/1.38 [1.026365s][1][Res] VALID
% 5.84/1.38 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------