TSTP Solution File: SET689+4 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET689+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n029.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 04:17:09 EDT 2022
% Result : Theorem 1.52s 0.68s
% Output : Proof 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET689+4 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % Command : goeland -dmt -presko -proof %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat Sep 3 07:31:30 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 [DMT] DMT loaded with preskolemization
% 0.11/0.33 [EQ] equality loaded.
% 0.11/0.33 [0.000042s][1][MAIN] Problem : theBenchmark.p
% 0.11/0.34 Conjecture not found
% 0.11/0.34 Start search
% 0.11/0.34 nb_step : 1 - limit : 15
% 0.11/0.34 Launch Gotab with destructive = true
% 1.52/0.67 % SZS output start Proof for theBenchmark.p
% 1.52/0.68 [0] ALPHA_AND : ((! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12))) & ! [X19_19] : (~member(X19_19, empty_set)) & ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))) & ~! [A34_34, B35_35, C36_36] : ((((subset(A34_34, B35_35) & subset(B35_35, C36_36)) & subset(C36_36, A34_34)) => equal_set(A34_34, C36_36))))
% 1.52/0.68 -> [1] (! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12))) & ! [X19_19] : (~member(X19_19, empty_set)) & ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))), ~! [A34_34, B35_35, C36_36] : ((((subset(A34_34, B35_35) & subset(B35_35, C36_36)) & subset(C36_36, A34_34)) => equal_set(A34_34, C36_36)))
% 1.52/0.68
% 1.52/0.68 [1] ALPHA_AND : (! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12))) & ! [X19_19] : (~member(X19_19, empty_set)) & ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24))))
% 1.52/0.68 -> [2] ! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12))), ! [X19_19] : (~member(X19_19, empty_set)), ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))
% 1.52/0.68
% 1.52/0.68 [2] DELTA_NOT_FORALL : ~! [A34_34, B35_35, C36_36] : ((((subset(A34_34, B35_35) & subset(B35_35, C36_36)) & subset(C36_36, A34_34)) => equal_set(A34_34, C36_36)))
% 1.52/0.68 -> [3] ~(((subset(skolem_A3434, skolem_B3535) & subset(skolem_B3535, skolem_C3636)) & subset(skolem_C3636, skolem_A3434)) => equal_set(skolem_A3434, skolem_C3636))
% 1.52/0.68
% 1.52/0.68 [3] ALPHA_NOT_IMPLY : ~(((subset(skolem_A3434, skolem_B3535) & subset(skolem_B3535, skolem_C3636)) & subset(skolem_C3636, skolem_A3434)) => equal_set(skolem_A3434, skolem_C3636))
% 1.52/0.68 -> [4] ((subset(skolem_A3434, skolem_B3535) & subset(skolem_B3535, skolem_C3636)) & subset(skolem_C3636, skolem_A3434)), ~equal_set(skolem_A3434, skolem_C3636)
% 1.52/0.68
% 1.52/0.68 [4] Rewrite : ~equal_set(skolem_A3434, skolem_C3636)
% 1.52/0.68 -> [5] ~(subset(skolem_A3434, skolem_C3636) & subset(skolem_C3636, skolem_A3434))
% 1.52/0.68
% 1.52/0.68 [5] ALPHA_AND : ((subset(skolem_A3434, skolem_B3535) & subset(skolem_B3535, skolem_C3636)) & subset(skolem_C3636, skolem_A3434))
% 1.52/0.68 -> [6] (subset(skolem_A3434, skolem_B3535) & subset(skolem_B3535, skolem_C3636)), subset(skolem_C3636, skolem_A3434)
% 1.52/0.68
% 1.52/0.68 [6] Rewrite : subset(skolem_C3636, skolem_A3434)
% 1.52/0.68 -> [7] ! [X8_8] : ((member(X8_8, skolem_C3636) => member(X8_8, skolem_A3434)))
% 1.52/0.68
% 1.52/0.68 [7] ALPHA_AND : (subset(skolem_A3434, skolem_B3535) & subset(skolem_B3535, skolem_C3636))
% 1.52/0.68 -> [8] subset(skolem_A3434, skolem_B3535), subset(skolem_B3535, skolem_C3636)
% 1.52/0.68
% 1.52/0.68 [8] Rewrite : subset(skolem_A3434, skolem_B3535)
% 1.52/0.68 -> [9] ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_B3535)))
% 1.52/0.68
% 1.52/0.68 [9] Rewrite : subset(skolem_B3535, skolem_C3636)
% 1.52/0.68 -> [10] ! [X8_8] : ((member(X8_8, skolem_B3535) => member(X8_8, skolem_C3636)))
% 1.52/0.68
% 1.52/0.68 [10] BETA_NOT_AND : ~(subset(skolem_A3434, skolem_C3636) & subset(skolem_C3636, skolem_A3434))
% 1.52/0.68 -> [11] ~subset(skolem_A3434, skolem_C3636)
% 1.52/0.68 -> [12] ~subset(skolem_C3636, skolem_A3434)
% 1.52/0.68
% 1.52/0.68 [12] Rewrite : ~subset(skolem_C3636, skolem_A3434)
% 1.52/0.68 -> [13] ~(member(skolem_X88(skolem_C3636, skolem_A3434), skolem_C3636) => member(skolem_X88(skolem_C3636, skolem_A3434), skolem_A3434))
% 1.52/0.68
% 1.52/0.68 [13] ALPHA_NOT_IMPLY : ~(member(skolem_X88(skolem_C3636, skolem_A3434), skolem_C3636) => member(skolem_X88(skolem_C3636, skolem_A3434), skolem_A3434))
% 1.52/0.68 -> [15] member(skolem_X88(skolem_C3636, skolem_A3434), skolem_C3636), ~member(skolem_X88(skolem_C3636, skolem_A3434), skolem_A3434)
% 1.52/0.68
% 1.52/0.68 [15] GAMMA_FORALL : ! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12)))
% 1.52/0.68 -> [20] (member(X11_1_0, power_set(X11_1_0)) <=> subset(X11_1_0, X11_1_0))
% 1.52/0.68
% 1.52/0.68 [20] BETA_EQUIV : (member(X11_1_0, power_set(X11_1_0)) <=> subset(X11_1_0, X11_1_0))
% 1.52/0.68 -> [21] ~member(X11_1_0, power_set(X11_1_0)), ~subset(X11_1_0, X11_1_0)
% 1.52/0.68 -> [22] member(X11_1_0, power_set(X11_1_0)), subset(X11_1_0, X11_1_0)
% 1.52/0.68
% 1.52/0.68 [21] Rewrite : ~subset(X11_1_0, X11_1_0)
% 1.52/0.68 -> [25] ~(member(skolem_X88(X11_1_0, X11_1_0), X11_1_0) => member(skolem_X88(X11_1_0, X11_1_0), X11_1_0))
% 1.52/0.68
% 1.52/0.68 [25] ALPHA_NOT_IMPLY : ~(member(skolem_X88(X11_1_0, X11_1_0), X11_1_0) => member(skolem_X88(X11_1_0, X11_1_0), X11_1_0))
% 1.52/0.68 -> [28] member(skolem_X88(X11_1_0, X11_1_0), X11_1_0), ~member(skolem_X88(X11_1_0, X11_1_0), X11_1_0)
% 1.52/0.68
% 1.52/0.68 [28] CLOSURE : ~member(skolem_X88(X11_1_0, X11_1_0), X11_1_0)
% 1.52/0.68
% 1.52/0.68 [22] Rewrite : subset(X11_1_0, X11_1_0)
% 1.52/0.68 -> [27] ! [X8_8] : ((member(X8_8, X11_1_0) => member(X8_8, X11_1_0)))
% 1.52/0.68
% 1.52/0.68 [27] GAMMA_FORALL : ! [X19_19] : (~member(X19_19, empty_set))
% 1.52/0.68 -> [30] ~member(X19_1_1, empty_set)
% 1.52/0.68
% 1.52/0.68 [30] GAMMA_FORALL : ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))
% 1.52/0.68 -> [32] (member(A24_1_2, singleton(A24_1_2)) <=> =(A24_1_2, A24_1_2))
% 1.52/0.68
% 1.52/0.68 [32] BETA_EQUIV : (member(A24_1_2, singleton(A24_1_2)) <=> =(A24_1_2, A24_1_2))
% 1.52/0.68 -> [35] ~member(A24_1_2, singleton(A24_1_2)), ~=(A24_1_2, A24_1_2)
% 1.52/0.68 -> [36] member(A24_1_2, singleton(A24_1_2)), =(A24_1_2, A24_1_2)
% 1.52/0.68
% 1.52/0.68 [35] CLOSURE : ~=(A24_1_2, A24_1_2)
% 1.52/0.68
% 1.52/0.68 [36] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_C3636) => member(X8_8, skolem_A3434)))
% 1.52/0.68 -> [40] (member(skolem_X88(skolem_C3636, skolem_A3434), skolem_C3636) => member(skolem_X88(skolem_C3636, skolem_A3434), skolem_A3434))
% 1.52/0.68
% 1.52/0.68 [40] BETA_IMPLY : (member(skolem_X88(skolem_C3636, skolem_A3434), skolem_C3636) => member(skolem_X88(skolem_C3636, skolem_A3434), skolem_A3434))
% 1.52/0.68 -> [41] ~member(skolem_X88(skolem_C3636, skolem_A3434), skolem_C3636)
% 1.52/0.68 -> [42] member(skolem_X88(skolem_C3636, skolem_A3434), skolem_A3434)
% 1.52/0.68
% 1.52/0.68 [42] CLOSURE : =
% 1.52/0.68
% 1.52/0.68 [41] CLOSURE : =
% 1.52/0.68
% 1.52/0.68 [11] Rewrite : ~subset(skolem_A3434, skolem_C3636)
% 1.52/0.68 -> [14] ~(member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636))
% 1.52/0.68
% 1.52/0.68 [14] ALPHA_NOT_IMPLY : ~(member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636))
% 1.52/0.68 -> [16] member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434), ~member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636)
% 1.52/0.68
% 1.52/0.68 [16] GAMMA_FORALL : ! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12)))
% 1.52/0.68 -> [17] (member(X11_0_0, power_set(X11_0_0)) <=> subset(X11_0_0, X11_0_0))
% 1.52/0.68
% 1.52/0.68 [17] BETA_EQUIV : (member(X11_0_0, power_set(X11_0_0)) <=> subset(X11_0_0, X11_0_0))
% 1.52/0.68 -> [18] ~member(X11_0_0, power_set(X11_0_0)), ~subset(X11_0_0, X11_0_0)
% 1.52/0.68 -> [19] member(X11_0_0, power_set(X11_0_0)), subset(X11_0_0, X11_0_0)
% 1.52/0.68
% 1.52/0.68 [18] Rewrite : ~subset(X11_0_0, X11_0_0)
% 1.52/0.68 -> [23] ~(member(skolem_X88(X11_0_0, X11_0_0), X11_0_0) => member(skolem_X88(X11_0_0, X11_0_0), X11_0_0))
% 1.52/0.68
% 1.52/0.68 [23] ALPHA_NOT_IMPLY : ~(member(skolem_X88(X11_0_0, X11_0_0), X11_0_0) => member(skolem_X88(X11_0_0, X11_0_0), X11_0_0))
% 1.52/0.68 -> [26] member(skolem_X88(X11_0_0, X11_0_0), X11_0_0), ~member(skolem_X88(X11_0_0, X11_0_0), X11_0_0)
% 1.52/0.68
% 1.52/0.68 [26] CLOSURE : ~member(skolem_X88(X11_0_0, X11_0_0), X11_0_0)
% 1.52/0.68
% 1.52/0.68 [19] Rewrite : subset(X11_0_0, X11_0_0)
% 1.52/0.68 -> [24] ! [X8_8] : ((member(X8_8, X11_0_0) => member(X8_8, X11_0_0)))
% 1.52/0.68
% 1.52/0.68 [24] GAMMA_FORALL : ! [X19_19] : (~member(X19_19, empty_set))
% 1.52/0.68 -> [29] ~member(X19_0_1, empty_set)
% 1.52/0.68
% 1.52/0.68 [29] GAMMA_FORALL : ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))
% 1.52/0.68 -> [31] (member(A24_0_2, singleton(A24_0_2)) <=> =(A24_0_2, A24_0_2))
% 1.52/0.68
% 1.52/0.68 [31] BETA_EQUIV : (member(A24_0_2, singleton(A24_0_2)) <=> =(A24_0_2, A24_0_2))
% 1.52/0.68 -> [33] ~member(A24_0_2, singleton(A24_0_2)), ~=(A24_0_2, A24_0_2)
% 1.52/0.68 -> [34] member(A24_0_2, singleton(A24_0_2)), =(A24_0_2, A24_0_2)
% 1.52/0.68
% 1.52/0.68 [33] CLOSURE : ~=(A24_0_2, A24_0_2)
% 1.52/0.68
% 1.52/0.68 [34] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_C3636) => member(X8_8, skolem_A3434)))
% 1.52/0.68 -> [37] (member(X8_0_3, skolem_C3636) => member(X8_0_3, skolem_A3434))
% 1.52/0.68
% 1.52/0.68 [37] BETA_IMPLY : (member(X8_0_3, skolem_C3636) => member(X8_0_3, skolem_A3434))
% 1.52/0.68 -> [38] ~member(X8_0_3, skolem_C3636)
% 1.52/0.68 -> [39] member(X8_0_3, skolem_A3434)
% 1.52/0.68
% 1.52/0.68 [39] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_B3535)))
% 1.52/0.68 -> [43] (member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535))
% 1.52/0.68
% 1.52/0.68 [43] BETA_IMPLY : (member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535))
% 1.52/0.68 -> [44] ~member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434)
% 1.52/0.68 -> [45] member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535)
% 1.52/0.68
% 1.52/0.68 [44] CLOSURE : =
% 1.52/0.68
% 1.52/0.68 [45] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_B3535) => member(X8_8, skolem_C3636)))
% 1.52/0.68 -> [49] (member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636))
% 1.52/0.68
% 1.52/0.68 [49] BETA_IMPLY : (member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636))
% 1.52/0.68 -> [50] ~member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535)
% 1.52/0.68 -> [51] member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636)
% 1.52/0.68
% 1.52/0.68 [51] CLOSURE : =
% 1.52/0.68
% 1.52/0.68 [50] CLOSURE : =
% 1.52/0.68
% 1.52/0.68 [38] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_B3535)))
% 1.52/0.68 -> [46] (member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535))
% 1.52/0.68
% 1.52/0.68 [46] BETA_IMPLY : (member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535))
% 1.52/0.68 -> [47] ~member(skolem_X88(skolem_A3434, skolem_C3636), skolem_A3434)
% 1.52/0.68 -> [48] member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535)
% 1.52/0.68
% 1.52/0.68 [47] CLOSURE : =
% 1.52/0.68
% 1.52/0.68 [48] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_B3535) => member(X8_8, skolem_C3636)))
% 1.52/0.68 -> [52] (member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636))
% 1.52/0.68
% 1.52/0.68 [52] BETA_IMPLY : (member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535) => member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636))
% 1.52/0.68 -> [53] ~member(skolem_X88(skolem_A3434, skolem_C3636), skolem_B3535)
% 1.52/0.68 -> [54] member(skolem_X88(skolem_A3434, skolem_C3636), skolem_C3636)
% 1.52/0.68
% 1.52/0.68 [54] CLOSURE : =
% 1.52/0.68
% 1.52/0.68 [53] CLOSURE : =
% 1.52/0.68
% 1.52/0.68 % SZS output end Proof for theBenchmark.p
% 1.52/0.68 [0.342328s][1][Res] 858 goroutines created
% 1.52/0.68 ==== Result ====
% 1.52/0.68 [0.342349s][1][Res] VALID
% 1.52/0.68 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------