TSTP Solution File: LCL656+1.001 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : LCL656+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n020.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 : Sun Sep 18 03:42:58 EDT 2022
% Result : Theorem 27.19s 4.81s
% Output : Proof 27.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL656+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n020.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 : Thu Sep 1 23:19:29 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 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 10
% 0.12/0.34 Launch Gotab with destructive = true
% 27.19/4.80 % SZS output start Proof for theBenchmark.p
% 27.19/4.81 [0] ALPHA_AND : (! [X2_2] : (r1(X2_2, X2_2)) & ~~? [X3_3] : (~(~! [Y4_4] : ((~r1(X3_3, Y4_4) | p2(Y4_4))) | ~((! [Y5_5] : ((~r1(X3_3, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(X3_3)) & p100(X3_3)))))
% 27.19/4.81 -> [1] ! [X2_2] : (r1(X2_2, X2_2)), ~~? [X3_3] : (~(~! [Y4_4] : ((~r1(X3_3, Y4_4) | p2(Y4_4))) | ~((! [Y5_5] : ((~r1(X3_3, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(X3_3)) & p100(X3_3))))
% 27.19/4.81
% 27.19/4.81 [1] ALPHA_NOT_NOT : ~~? [X3_3] : (~(~! [Y4_4] : ((~r1(X3_3, Y4_4) | p2(Y4_4))) | ~((! [Y5_5] : ((~r1(X3_3, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(X3_3)) & p100(X3_3))))
% 27.19/4.81 -> [2] ? [X3_3] : (~(~! [Y4_4] : ((~r1(X3_3, Y4_4) | p2(Y4_4))) | ~((! [Y5_5] : ((~r1(X3_3, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(X3_3)) & p100(X3_3))))
% 27.19/4.81
% 27.19/4.81 [2] DELTA_EXISTS : ? [X3_3] : (~(~! [Y4_4] : ((~r1(X3_3, Y4_4) | p2(Y4_4))) | ~((! [Y5_5] : ((~r1(X3_3, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(X3_3)) & p100(X3_3))))
% 27.19/4.81 -> [3] ~(~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4))) | ~((! [Y5_5] : ((~r1(skolem_X33, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(skolem_X33)) & p100(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [3] ALPHA_NOT_OR : ~(~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4))) | ~((! [Y5_5] : ((~r1(skolem_X33, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(skolem_X33)) & p100(skolem_X33)))
% 27.19/4.81 -> [4] ~~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4))), ~~((! [Y5_5] : ((~r1(skolem_X33, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(skolem_X33)) & p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [4] ALPHA_NOT_NOT : ~~! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81 -> [5] ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81
% 27.19/4.81 [5] ALPHA_NOT_NOT : ~~((! [Y5_5] : ((~r1(skolem_X33, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(skolem_X33)) & p100(skolem_X33))
% 27.19/4.81 -> [6] ((! [Y5_5] : ((~r1(skolem_X33, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(skolem_X33)) & p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [6] ALPHA_AND : ((! [Y5_5] : ((~r1(skolem_X33, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(skolem_X33)) & p100(skolem_X33))
% 27.19/4.81 -> [7] (! [Y5_5] : ((~r1(skolem_X33, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(skolem_X33)), p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [7] ALPHA_AND : (! [Y5_5] : ((~r1(skolem_X33, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))) & ~p101(skolem_X33))
% 27.19/4.81 -> [8] ! [Y5_5] : ((~r1(skolem_X33, Y5_5) | ((((((~! [X36_6] : ((~r1(Y5_5, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(Y5_5, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(Y5_5) & p100(Y5_5))) & (((! [X38_8] : (((~r1(Y5_5, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(Y5_5)) & (! [X39_9] : (((~r1(Y5_5, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(Y5_5))) | ~p101(Y5_5))) & (((! [X310_10] : (((~r1(Y5_5, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(Y5_5)) & (! [X311_11] : (((~r1(Y5_5, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(Y5_5))) | ~p100(Y5_5))) & (p101(Y5_5) | ~p102(Y5_5))) & (p100(Y5_5) | ~p101(Y5_5))))), ~p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [8] GAMMA_FORALL : ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81 -> [9] r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [9] GAMMA_FORALL : ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81 -> [10] (~r1(skolem_X33, skolem_X33) | p2(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [10] BETA_OR : (~r1(skolem_X33, skolem_X33) | p2(skolem_X33))
% 27.19/4.81 -> [11] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [12] p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [11] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [13] BETA_OR : (~r1(skolem_X33, skolem_X33) | ((((((~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(skolem_X33) & p100(skolem_X33))) & (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))) & (((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))) | ~p100(skolem_X33))) & (p101(skolem_X33) | ~p102(skolem_X33))) & (p100(skolem_X33) | ~p101(skolem_X33))))
% 27.19/4.81 -> [510] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [511] ((((((~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(skolem_X33) & p100(skolem_X33))) & (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))) & (((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))) | ~p100(skolem_X33))) & (p101(skolem_X33) | ~p102(skolem_X33))) & (p100(skolem_X33) | ~p101(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [510] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [511] ALPHA_AND : ((((((~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(skolem_X33) & p100(skolem_X33))) & (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))) & (((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))) | ~p100(skolem_X33))) & (p101(skolem_X33) | ~p102(skolem_X33))) & (p100(skolem_X33) | ~p101(skolem_X33)))
% 27.19/4.81 -> [512] (((((~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(skolem_X33) & p100(skolem_X33))) & (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))) & (((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))) | ~p100(skolem_X33))) & (p101(skolem_X33) | ~p102(skolem_X33))), (p100(skolem_X33) | ~p101(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [512] ALPHA_AND : (((((~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(skolem_X33) & p100(skolem_X33))) & (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))) & (((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))) | ~p100(skolem_X33))) & (p101(skolem_X33) | ~p102(skolem_X33)))
% 27.19/4.81 -> [513] ((((~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(skolem_X33) & p100(skolem_X33))) & (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))) & (((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))) | ~p100(skolem_X33))), (p101(skolem_X33) | ~p102(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [513] ALPHA_AND : ((((~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(skolem_X33) & p100(skolem_X33))) & (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))) & (((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))) | ~p100(skolem_X33)))
% 27.19/4.81 -> [514] (((~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(skolem_X33) & p100(skolem_X33))) & (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))), (((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [514] ALPHA_AND : (((~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(skolem_X33) & p100(skolem_X33))) & (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33)))
% 27.19/4.81 -> [515] ((~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(skolem_X33) & p100(skolem_X33))), (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [515] BETA_OR : (p100(skolem_X33) | ~p101(skolem_X33))
% 27.19/4.81 -> [516] p100(skolem_X33)
% 27.19/4.81 -> [517] ~p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [516] BETA_OR : (p101(skolem_X33) | ~p102(skolem_X33))
% 27.19/4.81 -> [518] p101(skolem_X33)
% 27.19/4.81 -> [519] ~p102(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [518] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [519] BETA_OR : (((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))) | ~p100(skolem_X33))
% 27.19/4.81 -> [522] ((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33)))
% 27.19/4.81 -> [523] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [523] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [522] ALPHA_AND : ((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33)))
% 27.19/4.81 -> [524] (! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)), (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [524] BETA_OR : ((~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(skolem_X33) & p100(skolem_X33)))
% 27.19/4.81 -> [527] (~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7)))))
% 27.19/4.81 -> [528] ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [528] BETA_OR : (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))
% 27.19/4.81 -> [531] ((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33)))
% 27.19/4.81 -> [532] ~p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [532] BETA_OR : (! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33))
% 27.19/4.81 -> [542] ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [543] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [543] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [559] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [560] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [560] CLOSURE : ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [559] BETA_NOT_AND : ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81 -> [573] ~~p101(skolem_X33)
% 27.19/4.81 -> [574] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [574] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [573] ALPHA_NOT_NOT : ~~p101(skolem_X33)
% 27.19/4.81 -> [592] p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [592] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [542] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [548] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [549] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [548] BETA_NOT_AND : ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81 -> [553] ~~p101(skolem_X33)
% 27.19/4.81 -> [554] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [554] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [553] ALPHA_NOT_NOT : ~~p101(skolem_X33)
% 27.19/4.81 -> [578] p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [578] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [549] BETA_NOT_AND : ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81 -> [571] ~~p101(skolem_X33)
% 27.19/4.81 -> [572] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [572] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [571] ALPHA_NOT_NOT : ~~p101(skolem_X33)
% 27.19/4.81 -> [588] p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [588] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [531] ALPHA_AND : ((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33)))
% 27.19/4.81 -> [540] (! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)), (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [540] BETA_OR : (! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33))
% 27.19/4.81 -> [545] ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [546] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [546] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [569] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [570] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [570] CLOSURE : ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [569] BETA_NOT_AND : ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81 -> [595] ~~p101(skolem_X33)
% 27.19/4.81 -> [596] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [596] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [595] ALPHA_NOT_NOT : ~~p101(skolem_X33)
% 27.19/4.81 -> [602] p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [602] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [545] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [555] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [556] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [555] BETA_NOT_AND : ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81 -> [564] ~~p101(skolem_X33)
% 27.19/4.81 -> [565] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [565] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [564] ALPHA_NOT_NOT : ~~p101(skolem_X33)
% 27.19/4.81 -> [575] p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [575] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [556] BETA_NOT_AND : ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81 -> [605] ~~p101(skolem_X33)
% 27.19/4.81 -> [606] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [606] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [605] ALPHA_NOT_NOT : ~~p101(skolem_X33)
% 27.19/4.81 -> [609] p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [609] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [527] ALPHA_AND : (~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7)))))
% 27.19/4.81 -> [530] ~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))), ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))
% 27.19/4.81
% 27.19/4.81 [530] DELTA_NOT_FORALL : ~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6))))
% 27.19/4.81 -> [535] ~(~r1(skolem_X33, skolem_X366(skolem_X33)) | ~((~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))) & p101(skolem_X366(skolem_X33))))
% 27.19/4.81
% 27.19/4.81 [535] ALPHA_NOT_OR : ~(~r1(skolem_X33, skolem_X366(skolem_X33)) | ~((~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))) & p101(skolem_X366(skolem_X33))))
% 27.19/4.81 -> [536] ~~r1(skolem_X33, skolem_X366(skolem_X33)), ~~((~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))) & p101(skolem_X366(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [536] ALPHA_NOT_NOT : ~~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81 -> [541] r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [541] ALPHA_NOT_NOT : ~~((~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))) & p101(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [568] ((~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))) & p101(skolem_X366(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [568] ALPHA_AND : ((~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))) & p101(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [579] (~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))), p101(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [579] ALPHA_AND : (~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [610] ~p2(skolem_X366(skolem_X33)), ~p102(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [610] DELTA_NOT_FORALL : ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))
% 27.19/4.81 -> [612] ~(~r1(skolem_X33, skolem_X377(skolem_X33)) | ~((p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))) & p101(skolem_X377(skolem_X33))))
% 27.19/4.81
% 27.19/4.81 [612] ALPHA_NOT_OR : ~(~r1(skolem_X33, skolem_X377(skolem_X33)) | ~((p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))) & p101(skolem_X377(skolem_X33))))
% 27.19/4.81 -> [613] ~~r1(skolem_X33, skolem_X377(skolem_X33)), ~~((p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))) & p101(skolem_X377(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [613] ALPHA_NOT_NOT : ~~r1(skolem_X33, skolem_X377(skolem_X33))
% 27.19/4.81 -> [615] r1(skolem_X33, skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [615] ALPHA_NOT_NOT : ~~((p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))) & p101(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [618] ((p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))) & p101(skolem_X377(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [618] ALPHA_AND : ((p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))) & p101(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [619] (p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))), p101(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [619] ALPHA_AND : (p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [622] p2(skolem_X377(skolem_X33)), ~p102(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [622] BETA_OR : (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))
% 27.19/4.81 -> [637] ((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33)))
% 27.19/4.81 -> [638] ~p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [638] BETA_OR : (! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33))
% 27.19/4.81 -> [694] ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [695] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [695] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [724] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [725] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [725] CLOSURE : ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [724] GAMMA_FORALL : ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [734] ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [734] BETA_OR : ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [735] (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [736] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [736] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [735] BETA_OR : (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [948] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [949] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [948] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [949] : ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81 -> [974] ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81
% 27.19/4.81 [974] GAMMA_FORALL : ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81 -> [977] r1(X2_10_0, X2_10_0)
% 27.19/4.81
% 27.19/4.81 [977] GAMMA_FORALL : ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81 -> [987] ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81
% 27.19/4.81 [987] GAMMA_FORALL : ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81 -> [989] (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [989] BETA_OR : (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [992] ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81 -> [993] p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [993] CLOSURE : p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [992] CLOSURE : ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [694] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [711] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [712] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [711] GAMMA_FORALL : ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [726] ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [726] BETA_OR : ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [727] (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [728] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [728] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [727] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [997] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [998] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [997] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [998] GAMMA_FORALL : ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [1008] ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [1008] BETA_OR : ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [1011] (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [1012] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1012] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1011] BETA_OR : (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [1058] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [1059] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1058] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1059] CLOSURE : p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [712] GAMMA_FORALL : ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [762] ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [762] BETA_OR : ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [763] (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [764] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [764] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [763] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [1025] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [1026] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1025] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1026] : ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81 -> [1037] ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81
% 27.19/4.81 [1037] GAMMA_FORALL : ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81 -> [1038] r1(X2_11_0, X2_11_0)
% 27.19/4.81
% 27.19/4.81 [1038] GAMMA_FORALL : ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81 -> [1043] ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81
% 27.19/4.81 [1043] GAMMA_FORALL : ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81 -> [1044] (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [1044] BETA_OR : (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [1045] ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81 -> [1046] p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [1046] CLOSURE : p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [1045] CLOSURE : ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [637] ALPHA_AND : ((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33)))
% 27.19/4.81 -> [649] (! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)), (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [649] BETA_OR : (! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33))
% 27.19/4.81 -> [660] ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [661] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [661] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [700] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [701] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [701] CLOSURE : ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [700] BETA_OR : (! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33))
% 27.19/4.81 -> [705] ! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8)))
% 27.19/4.81 -> [706] p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [706] BETA_OR : (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81 -> [772] ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [773] ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [773] CLOSURE : ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [772] GAMMA_FORALL : ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [776] ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [776] BETA_OR : ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [777] (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [778] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [778] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [777] BETA_OR : (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [871] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [872] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [871] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [872] GAMMA_FORALL : ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [875] ((~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33))) | ~p101(skolem_X366(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [875] BETA_OR : ((~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33))) | ~p101(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [878] (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [879] ~p101(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [879] CLOSURE : ~p101(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [878] BETA_OR : (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [883] ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81 -> [884] p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [884] CLOSURE : p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [883] CLOSURE : ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [705] BETA_OR : (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81 -> [715] ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [716] ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [716] CLOSURE : ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [715] GAMMA_FORALL : ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [737] ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [737] BETA_OR : ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [740] (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [741] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [741] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [740] BETA_OR : (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [941] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [942] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [941] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [942] GAMMA_FORALL : ! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8)))
% 27.19/4.81 -> [957] ((~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33))) | ~p101(skolem_X377(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [957] BETA_OR : ((~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33))) | ~p101(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [958] (~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [959] ~p101(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [959] CLOSURE : ~p101(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [958] BETA_OR : (~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [964] ~r1(skolem_X33, skolem_X377(skolem_X33))
% 27.19/4.81 -> [965] ~p2(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [965] CLOSURE : ~p2(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [964] CLOSURE : ~r1(skolem_X33, skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [660] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [687] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [688] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [688] BETA_OR : (! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33))
% 27.19/4.81 -> [813] ! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8)))
% 27.19/4.81 -> [814] p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [813] BETA_OR : (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81 -> [826] ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [827] ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [827] CLOSURE : ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [826] GAMMA_FORALL : ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [834] ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [834] BETA_OR : ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [835] (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [836] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [836] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [835] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [911] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [912] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [911] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [912] GAMMA_FORALL : ! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8)))
% 27.19/4.81 -> [925] ((~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33))) | ~p101(skolem_X377(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [925] BETA_OR : ((~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33))) | ~p101(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [926] (~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [927] ~p101(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [927] CLOSURE : ~p101(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [926] BETA_OR : (~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [930] ~r1(skolem_X33, skolem_X377(skolem_X33))
% 27.19/4.81 -> [931] ~p2(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [931] CLOSURE : ~p2(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [930] CLOSURE : ~r1(skolem_X33, skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [814] BETA_OR : (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81 -> [860] ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [861] ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [861] CLOSURE : ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [860] GAMMA_FORALL : ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [864] ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [864] BETA_OR : ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [865] (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [866] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [866] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [865] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [960] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [961] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [960] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [961] GAMMA_FORALL : ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [978] ((~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33))) | ~p101(skolem_X366(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [978] BETA_OR : ((~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33))) | ~p101(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [979] (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [980] ~p101(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [980] CLOSURE : ~p101(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [979] BETA_OR : (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [983] ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81 -> [984] p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [984] CLOSURE : p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [983] CLOSURE : ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [687] BETA_OR : (! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33))
% 27.19/4.81 -> [722] ! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8)))
% 27.19/4.81 -> [723] p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [722] BETA_OR : (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81 -> [795] ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [796] ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [796] CLOSURE : ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [795] GAMMA_FORALL : ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [808] ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [808] BETA_OR : ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [811] (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [812] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [812] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [811] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [950] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [951] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [950] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [951] GAMMA_FORALL : ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [963] ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [963] BETA_OR : ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [968] (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [969] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [969] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [968] BETA_OR : (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [1053] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [1054] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1054] CLOSURE : p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1053] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [723] BETA_OR : (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81 -> [760] ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [761] ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [761] CLOSURE : ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [760] GAMMA_FORALL : ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [766] ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [766] BETA_OR : ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [768] (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [769] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [769] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [768] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [1019] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [1020] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1019] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1020] GAMMA_FORALL : ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [1029] ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [1029] BETA_OR : ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [1030] (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [1031] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1031] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1030] BETA_OR : (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [1093] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [1094] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1094] CLOSURE : p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1093] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [517] BETA_OR : (p101(skolem_X33) | ~p102(skolem_X33))
% 27.19/4.81 -> [520] p101(skolem_X33)
% 27.19/4.81 -> [521] ~p102(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [520] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [521] BETA_OR : (((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))) | ~p100(skolem_X33))
% 27.19/4.81 -> [525] ((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33)))
% 27.19/4.81 -> [526] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [526] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [525] ALPHA_AND : ((! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)) & (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33)))
% 27.19/4.81 -> [529] (! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33)), (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [529] BETA_OR : ((~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))) | ~(~p101(skolem_X33) & p100(skolem_X33)))
% 27.19/4.81 -> [533] (~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7)))))
% 27.19/4.81 -> [534] ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [534] BETA_OR : (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))
% 27.19/4.81 -> [538] ((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33)))
% 27.19/4.81 -> [539] ~p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [538] ALPHA_AND : ((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33)))
% 27.19/4.81 -> [547] (! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)), (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [547] BETA_OR : (! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33))
% 27.19/4.81 -> [557] ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [558] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [557] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [566] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [567] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [566] BETA_NOT_AND : ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81 -> [576] ~~p101(skolem_X33)
% 27.19/4.81 -> [577] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [576] ALPHA_NOT_NOT : ~~p101(skolem_X33)
% 27.19/4.81 -> [589] p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [589] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [577] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [567] BETA_NOT_AND : ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81 -> [590] ~~p101(skolem_X33)
% 27.19/4.81 -> [591] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [590] ALPHA_NOT_NOT : ~~p101(skolem_X33)
% 27.19/4.81 -> [597] p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [597] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [591] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [558] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [580] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [581] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [581] CLOSURE : ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [580] BETA_NOT_AND : ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81 -> [585] ~~p101(skolem_X33)
% 27.19/4.81 -> [586] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [586] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [585] ALPHA_NOT_NOT : ~~p101(skolem_X33)
% 27.19/4.81 -> [599] p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [599] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [539] BETA_OR : (! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33))
% 27.19/4.81 -> [551] ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [552] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [551] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [562] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [563] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [562] BETA_NOT_AND : ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81 -> [583] ~~p101(skolem_X33)
% 27.19/4.81 -> [584] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [583] ALPHA_NOT_NOT : ~~p101(skolem_X33)
% 27.19/4.81 -> [598] p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [598] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [584] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [563] BETA_NOT_AND : ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81 -> [593] ~~p101(skolem_X33)
% 27.19/4.81 -> [594] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [594] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [593] ALPHA_NOT_NOT : ~~p101(skolem_X33)
% 27.19/4.81 -> [608] p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [608] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [552] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [600] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [601] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [601] CLOSURE : ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [600] BETA_NOT_AND : ~(~p101(skolem_X33) & p100(skolem_X33))
% 27.19/4.81 -> [603] ~~p101(skolem_X33)
% 27.19/4.81 -> [604] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [603] ALPHA_NOT_NOT : ~~p101(skolem_X33)
% 27.19/4.81 -> [607] p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [607] CLOSURE : p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [604] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [533] ALPHA_AND : (~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))) & ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7)))))
% 27.19/4.81 -> [537] ~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6)))), ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))
% 27.19/4.81
% 27.19/4.81 [537] DELTA_NOT_FORALL : ~! [X36_6] : ((~r1(skolem_X33, X36_6) | ~((~p2(X36_6) & ~p102(X36_6)) & p101(X36_6))))
% 27.19/4.81 -> [544] ~(~r1(skolem_X33, skolem_X366(skolem_X33)) | ~((~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))) & p101(skolem_X366(skolem_X33))))
% 27.19/4.81
% 27.19/4.81 [544] ALPHA_NOT_OR : ~(~r1(skolem_X33, skolem_X366(skolem_X33)) | ~((~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))) & p101(skolem_X366(skolem_X33))))
% 27.19/4.81 -> [550] ~~r1(skolem_X33, skolem_X366(skolem_X33)), ~~((~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))) & p101(skolem_X366(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [550] ALPHA_NOT_NOT : ~~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81 -> [561] r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [561] ALPHA_NOT_NOT : ~~((~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))) & p101(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [582] ((~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))) & p101(skolem_X366(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [582] ALPHA_AND : ((~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))) & p101(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [587] (~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33))), p101(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [587] ALPHA_AND : (~p2(skolem_X366(skolem_X33)) & ~p102(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [611] ~p2(skolem_X366(skolem_X33)), ~p102(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [611] DELTA_NOT_FORALL : ~! [X37_7] : ((~r1(skolem_X33, X37_7) | ~((p2(X37_7) & ~p102(X37_7)) & p101(X37_7))))
% 27.19/4.81 -> [614] ~(~r1(skolem_X33, skolem_X377(skolem_X33)) | ~((p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))) & p101(skolem_X377(skolem_X33))))
% 27.19/4.81
% 27.19/4.81 [614] ALPHA_NOT_OR : ~(~r1(skolem_X33, skolem_X377(skolem_X33)) | ~((p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))) & p101(skolem_X377(skolem_X33))))
% 27.19/4.81 -> [616] ~~r1(skolem_X33, skolem_X377(skolem_X33)), ~~((p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))) & p101(skolem_X377(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [616] ALPHA_NOT_NOT : ~~r1(skolem_X33, skolem_X377(skolem_X33))
% 27.19/4.81 -> [617] r1(skolem_X33, skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [617] ALPHA_NOT_NOT : ~~((p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))) & p101(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [620] ((p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))) & p101(skolem_X377(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [620] ALPHA_AND : ((p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))) & p101(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [621] (p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33))), p101(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [621] ALPHA_AND : (p2(skolem_X377(skolem_X33)) & ~p102(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [623] p2(skolem_X377(skolem_X33)), ~p102(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [623] BETA_OR : (((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))) | ~p101(skolem_X33))
% 27.19/4.81 -> [624] ((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33)))
% 27.19/4.81 -> [625] ~p101(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [624] ALPHA_AND : ((! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)) & (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33)))
% 27.19/4.81 -> [626] (! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33)), (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [626] BETA_OR : (! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33))
% 27.19/4.81 -> [627] ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [628] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [628] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [644] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [645] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [645] CLOSURE : ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [644] BETA_OR : (! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33))
% 27.19/4.81 -> [662] ! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8)))
% 27.19/4.81 -> [663] p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [663] BETA_OR : (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81 -> [709] ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [710] ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [710] CLOSURE : ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [709] GAMMA_FORALL : ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [717] ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [717] BETA_OR : ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [720] (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [721] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [721] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [720] BETA_OR : (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [901] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [902] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [901] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [902] GAMMA_FORALL : ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [913] ((~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33))) | ~p101(skolem_X366(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [913] BETA_OR : ((~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33))) | ~p101(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [914] (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [915] ~p101(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [915] CLOSURE : ~p101(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [914] BETA_OR : (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [916] ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81 -> [917] p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [917] CLOSURE : p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [916] CLOSURE : ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [662] BETA_OR : (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81 -> [670] ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [671] ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [671] CLOSURE : ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [670] GAMMA_FORALL : ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [680] ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [680] BETA_OR : ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [698] (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [699] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [699] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [698] BETA_OR : (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [938] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [939] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [938] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [939] GAMMA_FORALL : ! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8)))
% 27.19/4.81 -> [945] ((~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33))) | ~p101(skolem_X377(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [945] BETA_OR : ((~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33))) | ~p101(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [946] (~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [947] ~p101(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [947] CLOSURE : ~p101(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [946] BETA_OR : (~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [955] ~r1(skolem_X33, skolem_X377(skolem_X33))
% 27.19/4.81 -> [956] ~p2(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [956] CLOSURE : ~p2(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [955] CLOSURE : ~r1(skolem_X33, skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [627] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [629] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [630] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [630] BETA_OR : (! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33))
% 27.19/4.81 -> [646] ! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8)))
% 27.19/4.81 -> [647] p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [646] BETA_OR : (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81 -> [656] ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [657] ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [657] CLOSURE : ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [656] GAMMA_FORALL : ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [702] ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [702] BETA_OR : ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [703] (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [704] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [704] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [703] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [873] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [874] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [873] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [874] GAMMA_FORALL : ! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8)))
% 27.19/4.81 -> [880] ((~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33))) | ~p101(skolem_X377(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [880] BETA_OR : ((~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33))) | ~p101(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [881] (~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [882] ~p101(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [882] CLOSURE : ~p101(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [881] BETA_OR : (~r1(skolem_X33, skolem_X377(skolem_X33)) | ~p2(skolem_X377(skolem_X33)))
% 27.19/4.81 -> [885] ~r1(skolem_X33, skolem_X377(skolem_X33))
% 27.19/4.81 -> [886] ~p2(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [886] CLOSURE : ~p2(skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [885] CLOSURE : ~r1(skolem_X33, skolem_X377(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [647] BETA_OR : (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81 -> [672] ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [673] ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [673] CLOSURE : ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [672] GAMMA_FORALL : ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [681] ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [681] BETA_OR : ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [682] (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [683] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [683] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [682] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [876] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [877] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [876] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [877] GAMMA_FORALL : ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [887] ((~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33))) | ~p101(skolem_X366(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [887] BETA_OR : ((~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33))) | ~p101(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [888] (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [889] ~p101(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [889] CLOSURE : ~p101(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [888] BETA_OR : (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [895] ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81 -> [896] p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [896] CLOSURE : p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [895] CLOSURE : ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [629] BETA_OR : (! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8))) | p2(skolem_X33))
% 27.19/4.81 -> [633] ! [X38_8] : (((~r1(skolem_X33, X38_8) | ~p2(X38_8)) | ~p101(X38_8)))
% 27.19/4.81 -> [634] p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [633] BETA_OR : (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81 -> [639] ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [640] ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [640] CLOSURE : ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [639] GAMMA_FORALL : ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [648] ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [648] BETA_OR : ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [652] (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [653] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [653] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [652] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [907] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [908] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [907] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [908] GAMMA_FORALL : ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [918] ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [918] BETA_OR : ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [919] (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [920] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [920] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [919] BETA_OR : (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [1027] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [1028] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1028] CLOSURE : p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1027] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [634] BETA_OR : (! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9))) | ~p2(skolem_X33))
% 27.19/4.81 -> [658] ! [X39_9] : (((~r1(skolem_X33, X39_9) | p2(X39_9)) | ~p101(X39_9)))
% 27.19/4.81 -> [659] ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [659] CLOSURE : ~p2(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [658] GAMMA_FORALL : ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [665] ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [665] BETA_OR : ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [668] (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [669] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [669] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [668] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [975] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [976] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [975] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [976] GAMMA_FORALL : ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [988] ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [988] BETA_OR : ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [990] (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [991] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [991] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [990] BETA_OR : (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [1136] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [1137] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1137] CLOSURE : p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1136] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [625] BETA_OR : (! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10))) | p1(skolem_X33))
% 27.19/4.81 -> [631] ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [632] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [631] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [635] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [636] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [635] GAMMA_FORALL : ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [641] ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [641] BETA_OR : ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [642] (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [643] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [643] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [642] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [943] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [944] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [943] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [944] GAMMA_FORALL : ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [962] ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [962] BETA_OR : ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [966] (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [967] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [967] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [966] BETA_OR : (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [1147] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [1148] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1148] CLOSURE : p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1147] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [636] GAMMA_FORALL : ! [X310_10] : (((~r1(skolem_X33, X310_10) | ~p1(X310_10)) | ~p100(X310_10)))
% 27.19/4.81 -> [689] ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [689] BETA_OR : ((~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [690] (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [691] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [691] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [690] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~p1(skolem_X33))
% 27.19/4.81 -> [1081] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [1082] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1081] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [1082] : ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81 -> [1087] ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81
% 27.19/4.81 [1087] GAMMA_FORALL : ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81 -> [1088] r1(X2_13_0, X2_13_0)
% 27.19/4.81
% 27.19/4.81 [1088] GAMMA_FORALL : ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81 -> [1103] ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81
% 27.19/4.81 [1103] GAMMA_FORALL : ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81 -> [1108] (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [1108] BETA_OR : (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [1111] ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81 -> [1112] p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [1112] CLOSURE : p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [1111] CLOSURE : ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [632] BETA_OR : (! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11))) | ~p1(skolem_X33))
% 27.19/4.81 -> [650] ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [651] ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [651] CLOSURE : ~p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [650] GAMMA_FORALL : ! [X311_11] : (((~r1(skolem_X33, X311_11) | p1(X311_11)) | ~p100(X311_11)))
% 27.19/4.81 -> [664] ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [664] BETA_OR : ((~r1(skolem_X33, skolem_X33) | p1(skolem_X33)) | ~p100(skolem_X33))
% 27.19/4.81 -> [666] (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [667] ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [667] CLOSURE : ~p100(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [666] BETA_OR : (~r1(skolem_X33, skolem_X33) | p1(skolem_X33))
% 27.19/4.81 -> [4155] ~r1(skolem_X33, skolem_X33)
% 27.19/4.81 -> [4156] p1(skolem_X33)
% 27.19/4.81
% 27.19/4.81 [4155] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 27.19/4.81
% 27.19/4.81 [4156] : ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81 -> [4157] ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81
% 27.19/4.81 [4157] GAMMA_FORALL : ! [X2_2] : (r1(X2_2, X2_2))
% 27.19/4.81 -> [4158] r1(X2_18_0, X2_18_0)
% 27.19/4.81
% 27.19/4.81 [4158] GAMMA_FORALL : ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81 -> [4159] ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81
% 27.19/4.81 [4159] GAMMA_FORALL : ! [Y4_4] : ((~r1(skolem_X33, Y4_4) | p2(Y4_4)))
% 27.19/4.81 -> [4160] (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81
% 27.19/4.81 [4160] BETA_OR : (~r1(skolem_X33, skolem_X366(skolem_X33)) | p2(skolem_X366(skolem_X33)))
% 27.19/4.81 -> [4161] ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81 -> [4162] p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [4162] CLOSURE : p2(skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 [4161] CLOSURE : ~r1(skolem_X33, skolem_X366(skolem_X33))
% 27.19/4.81
% 27.19/4.81 % SZS output end Proof for theBenchmark.p
% 27.19/4.81 [4.475520s][1][Res] 56346 goroutines created
% 27.19/4.81 ==== Result ====
% 27.19/4.81 [4.475554s][1][Res] VALID
% 27.19/4.81 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------