TSTP Solution File: SET701+4 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET701+4 : 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 04:17:12 EDT 2022
% Result : Theorem 13.13s 2.29s
% Output : Proof 13.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET701+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Sep 3 07:21:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Conjecture not found
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 15
% 0.12/0.34 Launch Gotab with destructive = true
% 12.76/2.29 % SZS output start Proof for theBenchmark.p
% 12.76/2.29 [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, E37_37] : (((subset(A34_34, E37_37) & subset(B35_35, E37_37)) => (subset(A34_34, B35_35) <=> subset(intersection(A34_34, difference(E37_37, B35_35)), intersection(C36_36, difference(E37_37, C36_36)))))))
% 12.76/2.29 -> [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, E37_37] : (((subset(A34_34, E37_37) & subset(B35_35, E37_37)) => (subset(A34_34, B35_35) <=> subset(intersection(A34_34, difference(E37_37, B35_35)), intersection(C36_36, difference(E37_37, C36_36))))))
% 12.76/2.29
% 12.76/2.29 [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))))
% 12.76/2.29 -> [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)))
% 12.76/2.29
% 12.76/2.29 [2] DELTA_NOT_FORALL : ~! [A34_34, B35_35, C36_36, E37_37] : (((subset(A34_34, E37_37) & subset(B35_35, E37_37)) => (subset(A34_34, B35_35) <=> subset(intersection(A34_34, difference(E37_37, B35_35)), intersection(C36_36, difference(E37_37, C36_36))))))
% 12.76/2.29 -> [3] ~((subset(skolem_A3434, skolem_E3737) & subset(skolem_B3535, skolem_E3737)) => (subset(skolem_A3434, skolem_B3535) <=> subset(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))))
% 12.76/2.29
% 12.76/2.29 [3] ALPHA_NOT_IMPLY : ~((subset(skolem_A3434, skolem_E3737) & subset(skolem_B3535, skolem_E3737)) => (subset(skolem_A3434, skolem_B3535) <=> subset(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))))
% 12.76/2.29 -> [4] (subset(skolem_A3434, skolem_E3737) & subset(skolem_B3535, skolem_E3737)), ~(subset(skolem_A3434, skolem_B3535) <=> subset(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))))
% 12.76/2.29
% 12.76/2.29 [4] ALPHA_AND : (subset(skolem_A3434, skolem_E3737) & subset(skolem_B3535, skolem_E3737))
% 12.76/2.29 -> [5] subset(skolem_A3434, skolem_E3737), subset(skolem_B3535, skolem_E3737)
% 12.76/2.29
% 12.76/2.29 [5] Rewrite : subset(skolem_A3434, skolem_E3737)
% 12.76/2.29 -> [6] ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_E3737)))
% 12.76/2.29
% 12.76/2.29 [6] Rewrite : subset(skolem_B3535, skolem_E3737)
% 12.76/2.29 -> [7] ! [X8_8] : ((member(X8_8, skolem_B3535) => member(X8_8, skolem_E3737)))
% 12.76/2.29
% 12.76/2.29 [7] BETA_NOT_EQUIV : ~(subset(skolem_A3434, skolem_B3535) <=> subset(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))))
% 12.76/2.29 -> [8] ~subset(skolem_A3434, skolem_B3535), subset(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))
% 12.76/2.29 -> [9] subset(skolem_A3434, skolem_B3535), ~subset(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))
% 12.76/2.29
% 12.76/2.29 [8] Rewrite : ~subset(skolem_A3434, skolem_B3535)
% 12.76/2.29 -> [10] ~(member(skolem_X88(skolem_A3434, skolem_B3535), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535))
% 12.76/2.29
% 12.76/2.29 [10] Rewrite : subset(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))
% 12.76/2.29 -> [12] ! [X8_8] : ((member(X8_8, intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535))) => member(X8_8, intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))))
% 12.76/2.29
% 12.76/2.29 [12] ALPHA_NOT_IMPLY : ~(member(skolem_X88(skolem_A3434, skolem_B3535), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535))
% 12.76/2.29 -> [14] member(skolem_X88(skolem_A3434, skolem_B3535), skolem_A3434), ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535)
% 12.76/2.29
% 12.76/2.29 [14] GAMMA_FORALL : ! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12)))
% 12.76/2.29 -> [16] (member(X11_0_0, power_set(X11_0_0)) <=> subset(X11_0_0, X11_0_0))
% 12.76/2.29
% 12.76/2.29 [16] BETA_EQUIV : (member(X11_0_0, power_set(X11_0_0)) <=> subset(X11_0_0, X11_0_0))
% 12.76/2.29 -> [17] ~member(X11_0_0, power_set(X11_0_0)), ~subset(X11_0_0, X11_0_0)
% 12.76/2.29 -> [18] member(X11_0_0, power_set(X11_0_0)), subset(X11_0_0, X11_0_0)
% 12.76/2.29
% 12.76/2.29 [17] Rewrite : ~subset(X11_0_0, X11_0_0)
% 12.76/2.29 -> [21] ~(member(skolem_X88(X11_0_0, X11_0_0), X11_0_0) => member(skolem_X88(X11_0_0, X11_0_0), X11_0_0))
% 12.76/2.29
% 12.76/2.29 [21] 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))
% 12.76/2.29 -> [24] member(skolem_X88(X11_0_0, X11_0_0), X11_0_0), ~member(skolem_X88(X11_0_0, X11_0_0), X11_0_0)
% 12.76/2.29
% 12.76/2.29 [24] CLOSURE : ~member(skolem_X88(X11_0_0, X11_0_0), X11_0_0)
% 12.76/2.29
% 12.76/2.29 [18] Rewrite : subset(X11_0_0, X11_0_0)
% 12.76/2.29 -> [22] ! [X8_8] : ((member(X8_8, X11_0_0) => member(X8_8, X11_0_0)))
% 12.76/2.29
% 12.76/2.29 [22] GAMMA_FORALL : ! [X19_19] : (~member(X19_19, empty_set))
% 12.76/2.29 -> [25] ~member(X19_0_1, empty_set)
% 12.76/2.29
% 12.76/2.29 [25] GAMMA_FORALL : ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))
% 12.76/2.29 -> [26] (member(A24_0_2, singleton(A24_0_2)) <=> =(A24_0_2, A24_0_2))
% 12.76/2.29
% 12.76/2.29 [26] BETA_EQUIV : (member(A24_0_2, singleton(A24_0_2)) <=> =(A24_0_2, A24_0_2))
% 12.76/2.29 -> [27] ~member(A24_0_2, singleton(A24_0_2)), ~=(A24_0_2, A24_0_2)
% 12.76/2.29 -> [28] member(A24_0_2, singleton(A24_0_2)), =(A24_0_2, A24_0_2)
% 12.76/2.29
% 12.76/2.29 [27] CLOSURE : ~=(A24_0_2, A24_0_2)
% 12.76/2.29
% 12.76/2.29 [28] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_E3737)))
% 12.76/2.29 -> [57] (member(skolem_X88(skolem_A3434, skolem_B3535), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737))
% 12.76/2.29
% 12.76/2.29 [57] BETA_IMPLY : (member(skolem_X88(skolem_A3434, skolem_B3535), skolem_A3434) => member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737))
% 12.76/2.29 -> [58] ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_A3434)
% 12.76/2.29 -> [59] member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737)
% 12.76/2.29
% 12.76/2.29 [58] CLOSURE : =
% 12.76/2.29
% 12.76/2.29 [59] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_B3535) => member(X8_8, skolem_E3737)))
% 12.76/2.29 -> [60] (member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535) => member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737))
% 12.76/2.29
% 12.76/2.29 [60] BETA_IMPLY : (member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535) => member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737))
% 12.76/2.29 -> [61] ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535)
% 12.76/2.29 -> [62] member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737)
% 12.76/2.29
% 12.76/2.29 [61] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535))) => member(X8_8, intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))))
% 12.76/2.29 -> [66] (member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535))) => member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))))
% 12.76/2.29
% 12.76/2.29 [66] BETA_IMPLY : (member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535))) => member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))))
% 12.76/2.29 -> [67] ~member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)))
% 12.76/2.29 -> [68] member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))
% 12.76/2.29
% 12.76/2.29 [68] Rewrite : member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))
% 12.76/2.29 -> [72] (member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636) & member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_C3636)))
% 12.76/2.29
% 12.76/2.29 [72] ALPHA_AND : (member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636) & member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_C3636)))
% 12.76/2.29 -> [73] member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636), member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_C3636))
% 12.76/2.29
% 12.76/2.29 [73] Rewrite : member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_C3636))
% 12.76/2.29 -> [89] (member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737) & ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636))
% 12.76/2.29
% 12.76/2.29 [89] ALPHA_AND : (member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737) & ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636))
% 12.76/2.29 -> [90] member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737), ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636)
% 12.76/2.29
% 12.76/2.29 [90] CLOSURE : ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636)
% 12.76/2.29
% 12.76/2.29 [67] Rewrite : ~member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)))
% 12.76/2.29 -> [76] ~(member(skolem_X88(skolem_A3434, skolem_B3535), skolem_A3434) & member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_B3535)))
% 13.13/2.29
% 13.13/2.29 [76] BETA_NOT_AND : ~(member(skolem_X88(skolem_A3434, skolem_B3535), skolem_A3434) & member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_B3535)))
% 13.13/2.29 -> [77] ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_A3434)
% 13.13/2.29 -> [78] ~member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_B3535))
% 13.13/2.29
% 13.13/2.29 [78] Rewrite : ~member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_B3535))
% 13.13/2.29 -> [83] ~(member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737) & ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535))
% 13.13/2.29
% 13.13/2.29 [83] BETA_NOT_AND : ~(member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737) & ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535))
% 13.13/2.29 -> [84] ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737)
% 13.13/2.29 -> [85] ~~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535)
% 13.13/2.29
% 13.13/2.29 [85] ALPHA_NOT_NOT : ~~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535)
% 13.13/2.29 -> [86] member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535)
% 13.13/2.29
% 13.13/2.29 [86] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [84] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [77] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [63] BETA_IMPLY : (member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535))) => member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))))
% 13.13/2.29 -> [91] ~member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)))
% 13.13/2.29 -> [92] member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))
% 13.13/2.29
% 13.13/2.29 [92] Rewrite : member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))
% 13.13/2.29 -> [96] (member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636) & member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_C3636)))
% 13.13/2.29
% 13.13/2.29 [96] ALPHA_AND : (member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636) & member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_C3636)))
% 13.13/2.29 -> [97] member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636), member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_C3636))
% 13.13/2.29
% 13.13/2.29 [97] Rewrite : member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_C3636))
% 13.13/2.29 -> [104] (member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737) & ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636))
% 13.13/2.29
% 13.13/2.29 [104] ALPHA_AND : (member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737) & ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636))
% 13.13/2.29 -> [105] member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737), ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636)
% 13.13/2.29
% 13.13/2.29 [105] CLOSURE : ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_C3636)
% 13.13/2.29
% 13.13/2.29 [91] Rewrite : ~member(skolem_X88(skolem_A3434, skolem_B3535), intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)))
% 13.13/2.29 -> [98] ~(member(skolem_X88(skolem_A3434, skolem_B3535), skolem_A3434) & member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_B3535)))
% 13.13/2.29
% 13.13/2.29 [98] BETA_NOT_AND : ~(member(skolem_X88(skolem_A3434, skolem_B3535), skolem_A3434) & member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_B3535)))
% 13.13/2.29 -> [99] ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_A3434)
% 13.13/2.29 -> [100] ~member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_B3535))
% 13.13/2.29
% 13.13/2.29 [99] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [100] Rewrite : ~member(skolem_X88(skolem_A3434, skolem_B3535), difference(skolem_E3737, skolem_B3535))
% 13.13/2.29 -> [106] ~(member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737) & ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535))
% 13.13/2.29
% 13.13/2.29 [106] BETA_NOT_AND : ~(member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737) & ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535))
% 13.13/2.29 -> [107] ~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_E3737)
% 13.13/2.29 -> [108] ~~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535)
% 13.13/2.29
% 13.13/2.29 [108] ALPHA_NOT_NOT : ~~member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535)
% 13.13/2.29 -> [109] member(skolem_X88(skolem_A3434, skolem_B3535), skolem_B3535)
% 13.13/2.29
% 13.13/2.29 [109] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [107] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [9] Rewrite : subset(skolem_A3434, skolem_B3535)
% 13.13/2.29 -> [11] ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_B3535)))
% 13.13/2.29
% 13.13/2.29 [11] Rewrite : ~subset(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))
% 13.13/2.29 -> [13] ~(member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535))) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))))
% 13.13/2.29
% 13.13/2.29 [13] ALPHA_NOT_IMPLY : ~(member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535))) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))))
% 13.13/2.29 -> [15] member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535))), ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))
% 13.13/2.29
% 13.13/2.29 [15] Rewrite : member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)))
% 13.13/2.29 -> [19] (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) & member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), difference(skolem_E3737, skolem_B3535)))
% 13.13/2.29
% 13.13/2.29 [19] Rewrite : ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636)))
% 13.13/2.29 -> [20] ~(member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_C3636) & member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), difference(skolem_E3737, skolem_C3636)))
% 13.13/2.29
% 13.13/2.29 [20] ALPHA_AND : (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) & member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), difference(skolem_E3737, skolem_B3535)))
% 13.13/2.29 -> [23] member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434), member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), difference(skolem_E3737, skolem_B3535))
% 13.13/2.29
% 13.13/2.29 [23] Rewrite : member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), difference(skolem_E3737, skolem_B3535))
% 13.13/2.29 -> [29] (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737) & ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535))
% 13.13/2.29
% 13.13/2.29 [29] ALPHA_AND : (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737) & ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535))
% 13.13/2.29 -> [30] member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737), ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535)
% 13.13/2.29
% 13.13/2.29 [30] BETA_NOT_AND : ~(member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_C3636) & member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), difference(skolem_E3737, skolem_C3636)))
% 13.13/2.29 -> [31] ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_C3636)
% 13.13/2.29 -> [32] ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), difference(skolem_E3737, skolem_C3636))
% 13.13/2.29
% 13.13/2.29 [32] Rewrite : ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), difference(skolem_E3737, skolem_C3636))
% 13.13/2.29 -> [33] ~(member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737) & ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_C3636))
% 13.13/2.29
% 13.13/2.29 [33] BETA_NOT_AND : ~(member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737) & ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_C3636))
% 13.13/2.29 -> [37] ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737)
% 13.13/2.29 -> [38] ~~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_C3636)
% 13.13/2.29
% 13.13/2.29 [37] CLOSURE : ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737)
% 13.13/2.29
% 13.13/2.29 [38] ALPHA_NOT_NOT : ~~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_C3636)
% 13.13/2.29 -> [39] member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_C3636)
% 13.13/2.29
% 13.13/2.29 [39] GAMMA_FORALL : ! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12)))
% 13.13/2.29 -> [42] (member(X11_2_0, power_set(X11_2_0)) <=> subset(X11_2_0, X11_2_0))
% 13.13/2.29
% 13.13/2.29 [42] BETA_EQUIV : (member(X11_2_0, power_set(X11_2_0)) <=> subset(X11_2_0, X11_2_0))
% 13.13/2.29 -> [44] ~member(X11_2_0, power_set(X11_2_0)), ~subset(X11_2_0, X11_2_0)
% 13.13/2.29 -> [45] member(X11_2_0, power_set(X11_2_0)), subset(X11_2_0, X11_2_0)
% 13.13/2.29
% 13.13/2.29 [44] Rewrite : ~subset(X11_2_0, X11_2_0)
% 13.13/2.29 -> [50] ~(member(skolem_X88(X11_2_0, X11_2_0), X11_2_0) => member(skolem_X88(X11_2_0, X11_2_0), X11_2_0))
% 13.13/2.29
% 13.13/2.29 [50] ALPHA_NOT_IMPLY : ~(member(skolem_X88(X11_2_0, X11_2_0), X11_2_0) => member(skolem_X88(X11_2_0, X11_2_0), X11_2_0))
% 13.13/2.29 -> [52] member(skolem_X88(X11_2_0, X11_2_0), X11_2_0), ~member(skolem_X88(X11_2_0, X11_2_0), X11_2_0)
% 13.13/2.29
% 13.13/2.29 [52] CLOSURE : ~member(skolem_X88(X11_2_0, X11_2_0), X11_2_0)
% 13.13/2.29
% 13.13/2.29 [45] Rewrite : subset(X11_2_0, X11_2_0)
% 13.13/2.29 -> [51] ! [X8_8] : ((member(X8_8, X11_2_0) => member(X8_8, X11_2_0)))
% 13.13/2.29
% 13.13/2.29 [51] GAMMA_FORALL : ! [X19_19] : (~member(X19_19, empty_set))
% 13.13/2.29 -> [53] ~member(X19_2_1, empty_set)
% 13.13/2.29
% 13.13/2.29 [53] GAMMA_FORALL : ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))
% 13.13/2.29 -> [54] (member(A24_2_2, singleton(A24_2_2)) <=> =(A24_2_2, A24_2_2))
% 13.13/2.29
% 13.13/2.29 [54] BETA_EQUIV : (member(A24_2_2, singleton(A24_2_2)) <=> =(A24_2_2, A24_2_2))
% 13.13/2.29 -> [55] ~member(A24_2_2, singleton(A24_2_2)), ~=(A24_2_2, A24_2_2)
% 13.13/2.29 -> [56] member(A24_2_2, singleton(A24_2_2)), =(A24_2_2, A24_2_2)
% 13.13/2.29
% 13.13/2.29 [55] CLOSURE : ~=(A24_2_2, A24_2_2)
% 13.13/2.29
% 13.13/2.29 [56] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_E3737)))
% 13.13/2.29 -> [93] (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737))
% 13.13/2.29
% 13.13/2.29 [93] BETA_IMPLY : (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737))
% 13.13/2.29 -> [94] ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434)
% 13.13/2.29 -> [95] member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737)
% 13.13/2.29
% 13.13/2.29 [94] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [95] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_B3535) => member(X8_8, skolem_E3737)))
% 13.13/2.29 -> [110] (member(X8_6_4, skolem_B3535) => member(X8_6_4, skolem_E3737))
% 13.13/2.29
% 13.13/2.29 [110] BETA_IMPLY : (member(X8_6_4, skolem_B3535) => member(X8_6_4, skolem_E3737))
% 13.13/2.29 -> [111] ~member(X8_6_4, skolem_B3535)
% 13.13/2.29 -> [112] member(X8_6_4, skolem_E3737)
% 13.13/2.29
% 13.13/2.29 [112] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_B3535)))
% 13.13/2.29 -> [116] (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535))
% 13.13/2.29
% 13.13/2.29 [116] BETA_IMPLY : (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535))
% 13.13/2.29 -> [117] ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434)
% 13.13/2.29 -> [118] member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535)
% 13.13/2.29
% 13.13/2.29 [118] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [117] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [111] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_B3535)))
% 13.13/2.29 -> [119] (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535))
% 13.13/2.29
% 13.13/2.29 [119] BETA_IMPLY : (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535))
% 13.13/2.29 -> [120] ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434)
% 13.13/2.29 -> [121] member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535)
% 13.13/2.29
% 13.13/2.29 [121] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [120] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [31] GAMMA_FORALL : ! [X11_11, A12_12] : ((member(X11_11, power_set(A12_12)) <=> subset(X11_11, A12_12)))
% 13.13/2.29 -> [34] (member(X11_1_0, power_set(X11_1_0)) <=> subset(X11_1_0, X11_1_0))
% 13.13/2.29
% 13.13/2.29 [34] BETA_EQUIV : (member(X11_1_0, power_set(X11_1_0)) <=> subset(X11_1_0, X11_1_0))
% 13.13/2.29 -> [35] ~member(X11_1_0, power_set(X11_1_0)), ~subset(X11_1_0, X11_1_0)
% 13.13/2.29 -> [36] member(X11_1_0, power_set(X11_1_0)), subset(X11_1_0, X11_1_0)
% 13.13/2.29
% 13.13/2.29 [35] Rewrite : ~subset(X11_1_0, X11_1_0)
% 13.13/2.29 -> [40] ~(member(skolem_X88(X11_1_0, X11_1_0), X11_1_0) => member(skolem_X88(X11_1_0, X11_1_0), X11_1_0))
% 13.13/2.29
% 13.13/2.29 [40] 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))
% 13.13/2.29 -> [43] member(skolem_X88(X11_1_0, X11_1_0), X11_1_0), ~member(skolem_X88(X11_1_0, X11_1_0), X11_1_0)
% 13.13/2.29
% 13.13/2.29 [43] CLOSURE : ~member(skolem_X88(X11_1_0, X11_1_0), X11_1_0)
% 13.13/2.29
% 13.13/2.29 [36] Rewrite : subset(X11_1_0, X11_1_0)
% 13.13/2.29 -> [41] ! [X8_8] : ((member(X8_8, X11_1_0) => member(X8_8, X11_1_0)))
% 13.13/2.29
% 13.13/2.29 [41] GAMMA_FORALL : ! [X19_19] : (~member(X19_19, empty_set))
% 13.13/2.29 -> [46] ~member(X19_1_1, empty_set)
% 13.13/2.29
% 13.13/2.29 [46] GAMMA_FORALL : ! [X23_23, A24_24] : ((member(X23_23, singleton(A24_24)) <=> =(X23_23, A24_24)))
% 13.13/2.29 -> [47] (member(A24_1_2, singleton(A24_1_2)) <=> =(A24_1_2, A24_1_2))
% 13.13/2.29
% 13.13/2.29 [47] BETA_EQUIV : (member(A24_1_2, singleton(A24_1_2)) <=> =(A24_1_2, A24_1_2))
% 13.13/2.29 -> [48] ~member(A24_1_2, singleton(A24_1_2)), ~=(A24_1_2, A24_1_2)
% 13.13/2.29 -> [49] member(A24_1_2, singleton(A24_1_2)), =(A24_1_2, A24_1_2)
% 13.13/2.29
% 13.13/2.29 [48] CLOSURE : ~=(A24_1_2, A24_1_2)
% 13.13/2.29
% 13.13/2.29 [49] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_E3737)))
% 13.13/2.29 -> [101] (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737))
% 13.13/2.29
% 13.13/2.29 [101] BETA_IMPLY : (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737))
% 13.13/2.29 -> [102] ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434)
% 13.13/2.29 -> [103] member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_E3737)
% 13.13/2.29
% 13.13/2.29 [102] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [103] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_B3535) => member(X8_8, skolem_E3737)))
% 13.13/2.29 -> [113] (member(X8_7_4, skolem_B3535) => member(X8_7_4, skolem_E3737))
% 13.13/2.29
% 13.13/2.29 [113] BETA_IMPLY : (member(X8_7_4, skolem_B3535) => member(X8_7_4, skolem_E3737))
% 13.13/2.29 -> [114] ~member(X8_7_4, skolem_B3535)
% 13.13/2.29 -> [115] member(X8_7_4, skolem_E3737)
% 13.13/2.29
% 13.13/2.29 [115] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_B3535)))
% 13.13/2.29 -> [122] (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535))
% 13.13/2.29
% 13.13/2.29 [122] BETA_IMPLY : (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535))
% 13.13/2.29 -> [123] ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434)
% 13.13/2.29 -> [124] member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535)
% 13.13/2.29
% 13.13/2.29 [124] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [123] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [114] GAMMA_FORALL : ! [X8_8] : ((member(X8_8, skolem_A3434) => member(X8_8, skolem_B3535)))
% 13.13/2.29 -> [125] (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535))
% 13.13/2.29
% 13.13/2.29 [125] BETA_IMPLY : (member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434) => member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535))
% 13.13/2.29 -> [126] ~member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_A3434)
% 13.13/2.29 -> [127] member(skolem_X88(intersection(skolem_A3434, difference(skolem_E3737, skolem_B3535)), intersection(skolem_C3636, difference(skolem_E3737, skolem_C3636))), skolem_B3535)
% 13.13/2.29
% 13.13/2.29 [126] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 [127] CLOSURE : =
% 13.13/2.29
% 13.13/2.29 % SZS output end Proof for theBenchmark.p
% 13.13/2.29 [1.954362s][1][Res] 3099 goroutines created
% 13.13/2.29 ==== Result ====
% 13.13/2.29 [1.954413s][1][Res] VALID
% 13.13/2.29 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------