TSTP Solution File: SET788+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n023.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 04:17:26 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Sep 3 08:20:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.35 nb_step : 1 - limit : 3
% 0.12/0.35 Launch Gotab with destructive = true
% 0.19/0.42 % SZS output start Proof for theBenchmark.p
% 0.19/0.42 [0] ALPHA_NOT_IMPLY : ~(! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4))))) => ! [X6_6, Y7_7] : ((equalish(X6_6, Y7_7) <=> equalish(Y7_7, X6_6))))
% 0.19/0.42 -> [1] ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4))))), ~! [X6_6, Y7_7] : ((equalish(X6_6, Y7_7) <=> equalish(Y7_7, X6_6)))
% 0.19/0.42
% 0.19/0.42 [1] DELTA_NOT_FORALL : ~! [X6_6, Y7_7] : ((equalish(X6_6, Y7_7) <=> equalish(Y7_7, X6_6)))
% 0.19/0.42 -> [2] ~(equalish(skolem_X66, skolem_Y77) <=> equalish(skolem_Y77, skolem_X66))
% 0.19/0.42
% 0.19/0.42 [2] BETA_NOT_EQUIV : ~(equalish(skolem_X66, skolem_Y77) <=> equalish(skolem_Y77, skolem_X66))
% 0.19/0.42 -> [3] ~equalish(skolem_X66, skolem_Y77), equalish(skolem_Y77, skolem_X66)
% 0.19/0.42 -> [4] equalish(skolem_X66, skolem_Y77), ~equalish(skolem_Y77, skolem_X66)
% 0.19/0.42
% 0.19/0.42 [4] GAMMA_FORALL : ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42 -> [8] (equalish(skolem_Y77, skolem_X66) <=> ! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66))))
% 0.19/0.42
% 0.19/0.42 [8] BETA_EQUIV : (equalish(skolem_Y77, skolem_X66) <=> ! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66))))
% 0.19/0.42 -> [9] ~equalish(skolem_Y77, skolem_X66), ~! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66)))
% 0.19/0.42 -> [10] equalish(skolem_Y77, skolem_X66), ! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66)))
% 0.19/0.42
% 0.19/0.42 [10] CLOSURE : equalish(skolem_Y77, skolem_X66)
% 0.19/0.42
% 0.19/0.42 [12] BETA_NOT_EQUIV : ~(a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77) <=> a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66))
% 0.19/0.42 -> [13] ~a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77), a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66)
% 0.19/0.42 -> [14] a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77), ~a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66)
% 0.19/0.42
% 0.19/0.42 [13] : ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42 -> [18] ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42
% 0.19/0.42 [18] GAMMA_FORALL : ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42 -> [20] (equalish(skolem_X66, skolem_Y77) <=> ! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77))))
% 0.19/0.42
% 0.19/0.42 [20] BETA_EQUIV : (equalish(skolem_X66, skolem_Y77) <=> ! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77))))
% 0.19/0.42 -> [29] ~equalish(skolem_X66, skolem_Y77), ~! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77)))
% 0.19/0.42 -> [30] equalish(skolem_X66, skolem_Y77), ! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77)))
% 0.19/0.42
% 0.19/0.42 [29] DELTA_NOT_FORALL : ~! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77)))
% 0.19/0.42 -> [34] ~(a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66) <=> a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77))
% 0.19/0.42
% 0.19/0.42 [34] CLOSURE : ~! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77)))
% 0.19/0.42
% 0.19/0.42 [30] GAMMA_FORALL : ! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77)))
% 0.19/0.42 -> [39] (a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66) <=> a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77))
% 0.19/0.42
% 0.19/0.42 [39] BETA_EQUIV : (a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66) <=> a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77))
% 0.19/0.42 -> [40] ~a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66), ~a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77)
% 0.19/0.42 -> [41] a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66), a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77)
% 0.19/0.42
% 0.19/0.42 [40] CLOSURE : ~a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66)
% 0.19/0.42
% 0.19/0.42 [41] CLOSURE : a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77)
% 0.19/0.42
% 0.19/0.42 [14] : ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42 -> [17] ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42
% 0.19/0.42 [17] GAMMA_FORALL : ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42 -> [19] (equalish(skolem_X66, skolem_Y77) <=> ! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77))))
% 0.19/0.42
% 0.19/0.42 [19] BETA_EQUIV : (equalish(skolem_X66, skolem_Y77) <=> ! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77))))
% 0.19/0.42 -> [25] ~equalish(skolem_X66, skolem_Y77), ~! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77)))
% 0.19/0.42 -> [26] equalish(skolem_X66, skolem_Y77), ! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77)))
% 0.19/0.42
% 0.19/0.42 [25] DELTA_NOT_FORALL : ~! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77)))
% 0.19/0.42 -> [35] ~(a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66) <=> a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77))
% 0.19/0.42
% 0.19/0.42 [35] CLOSURE : ~! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77)))
% 0.19/0.42
% 0.19/0.42 [26] GAMMA_FORALL : ! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77)))
% 0.19/0.42 -> [42] (a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66) <=> a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77))
% 0.19/0.42
% 0.19/0.42 [42] BETA_EQUIV : (a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66) <=> a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77))
% 0.19/0.42 -> [44] ~a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66), ~a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77)
% 0.19/0.42 -> [45] a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66), a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77)
% 0.19/0.42
% 0.19/0.42 [44] CLOSURE : ~a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77)
% 0.19/0.42
% 0.19/0.42 [45] CLOSURE : a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66)
% 0.19/0.42
% 0.19/0.42 [3] GAMMA_FORALL : ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42 -> [5] (equalish(skolem_X66, skolem_Y77) <=> ! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77))))
% 0.19/0.42
% 0.19/0.42 [5] BETA_EQUIV : (equalish(skolem_X66, skolem_Y77) <=> ! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77))))
% 0.19/0.42 -> [6] ~equalish(skolem_X66, skolem_Y77), ~! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77)))
% 0.19/0.42 -> [7] equalish(skolem_X66, skolem_Y77), ! [Z5_5] : ((a_member_of(Z5_5, skolem_X66) <=> a_member_of(Z5_5, skolem_Y77)))
% 0.19/0.42
% 0.19/0.42 [7] CLOSURE : equalish(skolem_X66, skolem_Y77)
% 0.19/0.42
% 0.19/0.42 [11] BETA_NOT_EQUIV : ~(a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66) <=> a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77))
% 0.19/0.42 -> [15] ~a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66), a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77)
% 0.19/0.42 -> [16] a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66), ~a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77)
% 0.19/0.42
% 0.19/0.42 [16] : ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42 -> [22] ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42
% 0.19/0.42 [22] GAMMA_FORALL : ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42 -> [24] (equalish(skolem_Y77, skolem_X66) <=> ! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66))))
% 0.19/0.42
% 0.19/0.42 [24] BETA_EQUIV : (equalish(skolem_Y77, skolem_X66) <=> ! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66))))
% 0.19/0.42 -> [31] ~equalish(skolem_Y77, skolem_X66), ~! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66)))
% 0.19/0.42 -> [32] equalish(skolem_Y77, skolem_X66), ! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66)))
% 0.19/0.42
% 0.19/0.42 [31] DELTA_NOT_FORALL : ~! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66)))
% 0.19/0.42 -> [33] ~(a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77) <=> a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66))
% 0.19/0.42
% 0.19/0.42 [33] CLOSURE : ~! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66)))
% 0.19/0.42
% 0.19/0.42 [32] GAMMA_FORALL : ! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66)))
% 0.19/0.42 -> [43] (a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77) <=> a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66))
% 0.19/0.42
% 0.19/0.42 [43] BETA_EQUIV : (a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77) <=> a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66))
% 0.19/0.42 -> [46] ~a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77), ~a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66)
% 0.19/0.42 -> [47] a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77), a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66)
% 0.19/0.42
% 0.19/0.42 [46] CLOSURE : ~a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66)
% 0.19/0.42
% 0.19/0.42 [47] CLOSURE : a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77)
% 0.19/0.42
% 0.19/0.42 [15] : ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42 -> [21] ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42
% 0.19/0.42 [21] GAMMA_FORALL : ! [X3_3, Y4_4] : ((equalish(X3_3, Y4_4) <=> ! [Z5_5] : ((a_member_of(Z5_5, X3_3) <=> a_member_of(Z5_5, Y4_4)))))
% 0.19/0.42 -> [23] (equalish(skolem_Y77, skolem_X66) <=> ! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66))))
% 0.19/0.42
% 0.19/0.42 [23] BETA_EQUIV : (equalish(skolem_Y77, skolem_X66) <=> ! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66))))
% 0.19/0.42 -> [27] ~equalish(skolem_Y77, skolem_X66), ~! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66)))
% 0.19/0.42 -> [28] equalish(skolem_Y77, skolem_X66), ! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66)))
% 0.19/0.42
% 0.19/0.42 [27] DELTA_NOT_FORALL : ~! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66)))
% 0.19/0.42 -> [36] ~(a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_Y77) <=> a_member_of(skolem_Z55(skolem_Y77, skolem_X66), skolem_X66))
% 0.19/0.42
% 0.19/0.42 [36] CLOSURE : ~! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66)))
% 0.19/0.42
% 0.19/0.42 [28] GAMMA_FORALL : ! [Z5_5] : ((a_member_of(Z5_5, skolem_Y77) <=> a_member_of(Z5_5, skolem_X66)))
% 0.19/0.42 -> [62] (a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77) <=> a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66))
% 0.19/0.42
% 0.19/0.42 [62] BETA_EQUIV : (a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77) <=> a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66))
% 0.19/0.42 -> [63] ~a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77), ~a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66)
% 0.19/0.42 -> [64] a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77), a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66)
% 0.19/0.42
% 0.19/0.42 [64] CLOSURE : a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_X66)
% 0.19/0.42
% 0.19/0.42 [63] CLOSURE : ~a_member_of(skolem_Z55(skolem_X66, skolem_Y77), skolem_Y77)
% 0.19/0.42
% 0.19/0.42 % SZS output end Proof for theBenchmark.p
% 0.19/0.42 [0.073469s][1][Res] 412 goroutines created
% 0.19/0.42 ==== Result ====
% 0.19/0.42 [0.073524s][1][Res] VALID
% 0.19/0.42 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------