TSTP Solution File: LCL636+1.001 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n022.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 03:42:44 EDT 2022
% Result : Theorem 1.77s 0.75s
% Output : Proof 1.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL636+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n022.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 22:41:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 15
% 0.12/0.34 Launch Gotab with destructive = true
% 1.77/0.73 % SZS output start Proof for theBenchmark.p
% 1.77/0.75 [0] ALPHA_NOT_NOT : ~~? [X2_2] : (~(~! [Y3_3] : ((~r1(X2_2, Y3_3) | p2(Y3_3))) | ~(((((((! [Y4_4] : ((~r1(X2_2, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(X2_2, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(X2_2, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(X2_2) & p100(X2_2)))) & (((! [Y13_13] : (((~r1(X2_2, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(X2_2)) & (! [Y14_14] : (((~r1(X2_2, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(X2_2))) | ~p101(X2_2))) & (((! [Y15_15] : (((~r1(X2_2, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(X2_2)) & (! [Y16_16] : (((~r1(X2_2, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(X2_2))) | ~p100(X2_2))) & (p101(X2_2) | ~p102(X2_2))) & (p100(X2_2) | ~p101(X2_2))) & ~p101(X2_2)) & p100(X2_2))))
% 1.77/0.75 -> [1] ? [X2_2] : (~(~! [Y3_3] : ((~r1(X2_2, Y3_3) | p2(Y3_3))) | ~(((((((! [Y4_4] : ((~r1(X2_2, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(X2_2, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(X2_2, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(X2_2) & p100(X2_2)))) & (((! [Y13_13] : (((~r1(X2_2, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(X2_2)) & (! [Y14_14] : (((~r1(X2_2, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(X2_2))) | ~p101(X2_2))) & (((! [Y15_15] : (((~r1(X2_2, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(X2_2)) & (! [Y16_16] : (((~r1(X2_2, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(X2_2))) | ~p100(X2_2))) & (p101(X2_2) | ~p102(X2_2))) & (p100(X2_2) | ~p101(X2_2))) & ~p101(X2_2)) & p100(X2_2))))
% 1.77/0.75
% 1.77/0.75 [1] DELTA_EXISTS : ? [X2_2] : (~(~! [Y3_3] : ((~r1(X2_2, Y3_3) | p2(Y3_3))) | ~(((((((! [Y4_4] : ((~r1(X2_2, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(X2_2, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(X2_2, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(X2_2) & p100(X2_2)))) & (((! [Y13_13] : (((~r1(X2_2, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(X2_2)) & (! [Y14_14] : (((~r1(X2_2, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(X2_2))) | ~p101(X2_2))) & (((! [Y15_15] : (((~r1(X2_2, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(X2_2)) & (! [Y16_16] : (((~r1(X2_2, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(X2_2))) | ~p100(X2_2))) & (p101(X2_2) | ~p102(X2_2))) & (p100(X2_2) | ~p101(X2_2))) & ~p101(X2_2)) & p100(X2_2))))
% 1.77/0.75 -> [2] ~(~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3))) | ~(((((((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))) & (p101(skolem_X22) | ~p102(skolem_X22))) & (p100(skolem_X22) | ~p101(skolem_X22))) & ~p101(skolem_X22)) & p100(skolem_X22)))
% 1.77/0.75
% 1.77/0.75 [2] ALPHA_NOT_OR : ~(~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3))) | ~(((((((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))) & (p101(skolem_X22) | ~p102(skolem_X22))) & (p100(skolem_X22) | ~p101(skolem_X22))) & ~p101(skolem_X22)) & p100(skolem_X22)))
% 1.77/0.75 -> [3] ~~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3))), ~~(((((((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))) & (p101(skolem_X22) | ~p102(skolem_X22))) & (p100(skolem_X22) | ~p101(skolem_X22))) & ~p101(skolem_X22)) & p100(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [3] ALPHA_NOT_NOT : ~~! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [4] ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75
% 1.77/0.75 [4] ALPHA_NOT_NOT : ~~(((((((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))) & (p101(skolem_X22) | ~p102(skolem_X22))) & (p100(skolem_X22) | ~p101(skolem_X22))) & ~p101(skolem_X22)) & p100(skolem_X22))
% 1.77/0.75 -> [5] (((((((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))) & (p101(skolem_X22) | ~p102(skolem_X22))) & (p100(skolem_X22) | ~p101(skolem_X22))) & ~p101(skolem_X22)) & p100(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [5] ALPHA_AND : (((((((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))) & (p101(skolem_X22) | ~p102(skolem_X22))) & (p100(skolem_X22) | ~p101(skolem_X22))) & ~p101(skolem_X22)) & p100(skolem_X22))
% 1.77/0.75 -> [6] ((((((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))) & (p101(skolem_X22) | ~p102(skolem_X22))) & (p100(skolem_X22) | ~p101(skolem_X22))) & ~p101(skolem_X22)), p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [6] ALPHA_AND : ((((((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))) & (p101(skolem_X22) | ~p102(skolem_X22))) & (p100(skolem_X22) | ~p101(skolem_X22))) & ~p101(skolem_X22))
% 1.77/0.75 -> [7] (((((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))) & (p101(skolem_X22) | ~p102(skolem_X22))) & (p100(skolem_X22) | ~p101(skolem_X22))), ~p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [7] ALPHA_AND : (((((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))) & (p101(skolem_X22) | ~p102(skolem_X22))) & (p100(skolem_X22) | ~p101(skolem_X22)))
% 1.77/0.75 -> [8] ((((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))) & (p101(skolem_X22) | ~p102(skolem_X22))), (p100(skolem_X22) | ~p101(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [8] ALPHA_AND : ((((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))) & (p101(skolem_X22) | ~p102(skolem_X22)))
% 1.77/0.75 -> [9] (((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))), (p101(skolem_X22) | ~p102(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [9] ALPHA_AND : (((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))) & (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22)))
% 1.77/0.75 -> [10] ((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))), (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [10] ALPHA_AND : ((! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))) & (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22)))
% 1.77/0.75 -> [11] (! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))), (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [11] ALPHA_AND : (! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))) & ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22))))
% 1.77/0.75 -> [12] ! [Y4_4] : ((~r1(skolem_X22, Y4_4) | ((((((~! [X25_5] : ((~r1(Y4_4, X25_5) | ~((~p2(X25_5) & ~p102(X25_5)) & p101(X25_5)))) & ~! [X26_6] : ((~r1(Y4_4, X26_6) | ~((p2(X26_6) & ~p102(X26_6)) & p101(X26_6))))) | ~(~p101(Y4_4) & p100(Y4_4))) & (((! [X27_7] : (((~r1(Y4_4, X27_7) | ~p2(X27_7)) | ~p101(X27_7))) | p2(Y4_4)) & (! [X28_8] : (((~r1(Y4_4, X28_8) | p2(X28_8)) | ~p101(X28_8))) | ~p2(Y4_4))) | ~p101(Y4_4))) & (((! [X29_9] : (((~r1(Y4_4, X29_9) | ~p1(X29_9)) | ~p100(X29_9))) | p1(Y4_4)) & (! [X210_10] : (((~r1(Y4_4, X210_10) | p1(X210_10)) | ~p100(X210_10))) | ~p1(Y4_4))) | ~p100(Y4_4))) & (p101(Y4_4) | ~p102(Y4_4))) & (p100(Y4_4) | ~p101(Y4_4))))), ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))
% 1.77/0.75
% 1.77/0.75 [12] BETA_OR : (p100(skolem_X22) | ~p101(skolem_X22))
% 1.77/0.75 -> [13] p100(skolem_X22)
% 1.77/0.75 -> [14] ~p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [14] BETA_OR : (p101(skolem_X22) | ~p102(skolem_X22))
% 1.77/0.75 -> [17] p101(skolem_X22)
% 1.77/0.75 -> [18] ~p102(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [17] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [18] BETA_OR : (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))
% 1.77/0.75 -> [21] ((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22)))
% 1.77/0.75 -> [22] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [22] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [21] ALPHA_AND : ((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22)))
% 1.77/0.75 -> [24] (! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)), (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [24] BETA_OR : (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))
% 1.77/0.75 -> [27] ((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22)))
% 1.77/0.75 -> [28] ~p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [28] BETA_OR : ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))
% 1.77/0.75 -> [33] (~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12)))))
% 1.77/0.75 -> [34] ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [34] BETA_OR : (! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22))
% 1.77/0.75 -> [42] ! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15)))
% 1.77/0.75 -> [43] p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [42] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [72] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [73] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [72] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [124] ~~p101(skolem_X22)
% 1.77/0.75 -> [125] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [125] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [124] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [127] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [127] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [73] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [84] ~~p101(skolem_X22)
% 1.77/0.75 -> [85] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [85] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [84] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [96] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [96] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [43] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [130] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [131] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [131] CLOSURE : ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [130] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [139] ~~p101(skolem_X22)
% 1.77/0.75 -> [140] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [140] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [139] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [154] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [154] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [33] ALPHA_AND : (~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12)))))
% 1.77/0.75 -> [54] ~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))), ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))
% 1.77/0.75
% 1.77/0.75 [54] DELTA_NOT_FORALL : ~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11))))
% 1.77/0.75 -> [58] ~(~r1(skolem_X22, skolem_Y1111) | ~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111)))
% 1.77/0.75
% 1.77/0.75 [58] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y1111) | ~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111)))
% 1.77/0.75 -> [63] ~~r1(skolem_X22, skolem_Y1111), ~~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [63] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [67] r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [67] ALPHA_NOT_NOT : ~~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75 -> [128] ((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [128] ALPHA_AND : ((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75 -> [129] (~p2(skolem_Y1111) & ~p102(skolem_Y1111)), p101(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [129] ALPHA_AND : (~p2(skolem_Y1111) & ~p102(skolem_Y1111))
% 1.77/0.75 -> [165] ~p2(skolem_Y1111), ~p102(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [165] DELTA_NOT_FORALL : ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))
% 1.77/0.75 -> [198] ~(~r1(skolem_X22, skolem_Y1212) | ~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212)))
% 1.77/0.75
% 1.77/0.75 [198] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y1212) | ~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212)))
% 1.77/0.75 -> [200] ~~r1(skolem_X22, skolem_Y1212), ~~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75
% 1.77/0.75 [200] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y1212)
% 1.77/0.75 -> [203] r1(skolem_X22, skolem_Y1212)
% 1.77/0.75
% 1.77/0.75 [203] ALPHA_NOT_NOT : ~~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75 -> [209] ((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75
% 1.77/0.75 [209] ALPHA_AND : ((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75 -> [212] (p2(skolem_Y1212) & ~p102(skolem_Y1212)), p101(skolem_Y1212)
% 1.77/0.75
% 1.77/0.75 [212] ALPHA_AND : (p2(skolem_Y1212) & ~p102(skolem_Y1212))
% 1.77/0.75 -> [219] p2(skolem_Y1212), ~p102(skolem_Y1212)
% 1.77/0.75
% 1.77/0.75 [219] BETA_OR : (! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22))
% 1.77/0.75 -> [249] ! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15)))
% 1.77/0.75 -> [250] p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [250] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [276] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [277] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [277] CLOSURE : ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [276] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [282] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [282] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [285] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [286] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [286] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [285] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [249] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [258] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [259] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [258] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [281] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [281] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [283] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [284] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [283] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [284] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [259] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [287] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [287] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [288] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [289] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [289] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [288] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [27] ALPHA_AND : ((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22)))
% 1.77/0.75 -> [32] (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)), (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [32] BETA_OR : ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))
% 1.77/0.75 -> [40] (~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12)))))
% 1.77/0.75 -> [41] ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [41] BETA_OR : (! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22))
% 1.77/0.75 -> [51] ! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15)))
% 1.77/0.75 -> [52] p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [51] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [60] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [61] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [61] BETA_OR : (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22))
% 1.77/0.75 -> [94] ! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13)))
% 1.77/0.75 -> [95] p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [95] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [107] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [108] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [108] CLOSURE : ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [107] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [121] ~~p101(skolem_X22)
% 1.77/0.75 -> [122] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [122] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [121] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [126] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [126] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [94] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [104] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [105] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [105] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [111] ~~p101(skolem_X22)
% 1.77/0.75 -> [112] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [112] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [111] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [123] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [123] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [104] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [172] ~~p101(skolem_X22)
% 1.77/0.75 -> [173] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [173] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [172] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [177] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [177] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [60] BETA_OR : (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22))
% 1.77/0.75 -> [82] ! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13)))
% 1.77/0.75 -> [83] p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [83] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [133] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [134] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [134] CLOSURE : ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [133] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [143] ~~p101(skolem_X22)
% 1.77/0.75 -> [144] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [144] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [143] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [149] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [149] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [82] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [86] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [87] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [86] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [162] ~~p101(skolem_X22)
% 1.77/0.75 -> [163] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [163] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [162] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [167] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [167] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [87] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [135] ~~p101(skolem_X22)
% 1.77/0.75 -> [136] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [136] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [135] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [151] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [151] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [52] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [74] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [75] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [75] CLOSURE : ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [74] BETA_OR : (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22))
% 1.77/0.75 -> [92] ! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13)))
% 1.77/0.75 -> [93] p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [93] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [155] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [156] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [155] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [160] ~~p101(skolem_X22)
% 1.77/0.75 -> [161] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [161] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [160] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [164] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [164] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [156] CLOSURE : ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [92] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [141] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [142] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [141] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [152] ~~p101(skolem_X22)
% 1.77/0.75 -> [153] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [153] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [152] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [199] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [199] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [142] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [201] ~~p101(skolem_X22)
% 1.77/0.75 -> [202] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [202] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [201] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [205] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [205] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [40] ALPHA_AND : (~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12)))))
% 1.77/0.75 -> [62] ~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))), ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))
% 1.77/0.75
% 1.77/0.75 [62] DELTA_NOT_FORALL : ~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11))))
% 1.77/0.75 -> [66] ~(~r1(skolem_X22, skolem_Y1111) | ~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111)))
% 1.77/0.75
% 1.77/0.75 [66] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y1111) | ~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111)))
% 1.77/0.75 -> [71] ~~r1(skolem_X22, skolem_Y1111), ~~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [71] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [78] r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [78] ALPHA_NOT_NOT : ~~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75 -> [116] ((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [116] ALPHA_AND : ((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75 -> [118] (~p2(skolem_Y1111) & ~p102(skolem_Y1111)), p101(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [118] ALPHA_AND : (~p2(skolem_Y1111) & ~p102(skolem_Y1111))
% 1.77/0.75 -> [150] ~p2(skolem_Y1111), ~p102(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [150] DELTA_NOT_FORALL : ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))
% 1.77/0.75 -> [194] ~(~r1(skolem_X22, skolem_Y1212) | ~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212)))
% 1.77/0.75
% 1.77/0.75 [194] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y1212) | ~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212)))
% 1.77/0.75 -> [196] ~~r1(skolem_X22, skolem_Y1212), ~~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75
% 1.77/0.75 [196] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y1212)
% 1.77/0.75 -> [197] r1(skolem_X22, skolem_Y1212)
% 1.77/0.75
% 1.77/0.75 [197] ALPHA_NOT_NOT : ~~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75 -> [208] ((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75
% 1.77/0.75 [208] ALPHA_AND : ((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75 -> [211] (p2(skolem_Y1212) & ~p102(skolem_Y1212)), p101(skolem_Y1212)
% 1.77/0.75
% 1.77/0.75 [211] ALPHA_AND : (p2(skolem_Y1212) & ~p102(skolem_Y1212))
% 1.77/0.75 -> [216] p2(skolem_Y1212), ~p102(skolem_Y1212)
% 1.77/0.75
% 1.77/0.75 [216] BETA_OR : (! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22))
% 1.77/0.75 -> [222] ! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15)))
% 1.77/0.75 -> [223] p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [222] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [224] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [225] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [224] BETA_OR : (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22))
% 1.77/0.75 -> [226] ! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13)))
% 1.77/0.75 -> [227] p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [227] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [262] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [263] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [263] CLOSURE : ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [262] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [264] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [264] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [265] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [266] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [266] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [265] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [226] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [228] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [229] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [228] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [230] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [230] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [231] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [232] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [231] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [232] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [229] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [238] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [238] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [243] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [244] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [243] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [244] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [225] BETA_OR : (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22))
% 1.77/0.75 -> [236] ! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13)))
% 1.77/0.75 -> [237] p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [237] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [256] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [257] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [257] CLOSURE : ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [256] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [267] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [267] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [268] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [269] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [269] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [268] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [236] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [241] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [242] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [242] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [278] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [278] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [279] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [280] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [279] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [280] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [241] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [251] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [251] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [252] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [253] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [252] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [253] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [223] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [247] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [248] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [248] CLOSURE : ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [247] BETA_OR : (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22))
% 1.77/0.75 -> [260] ! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13)))
% 1.77/0.75 -> [261] p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [261] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [310] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [311] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [311] CLOSURE : ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [310] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [321] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [321] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [324] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [325] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [324] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [325] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [260] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [294] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [295] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [295] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [313] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [313] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [319] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [320] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [320] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [319] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [294] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [300] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [300] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [301] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [302] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [301] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [302] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [13] BETA_OR : (p101(skolem_X22) | ~p102(skolem_X22))
% 1.77/0.75 -> [15] p101(skolem_X22)
% 1.77/0.75 -> [16] ~p102(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [15] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [16] BETA_OR : (((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))) | ~p100(skolem_X22))
% 1.77/0.75 -> [19] ((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22)))
% 1.77/0.75 -> [20] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [20] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [19] ALPHA_AND : ((! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)) & (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22)))
% 1.77/0.75 -> [23] (! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22)), (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [23] BETA_OR : (((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))) | ~p101(skolem_X22))
% 1.77/0.75 -> [25] ((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22)))
% 1.77/0.75 -> [26] ~p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [25] ALPHA_AND : ((! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)) & (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22)))
% 1.77/0.75 -> [29] (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22)), (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [29] BETA_OR : ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))
% 1.77/0.75 -> [35] (~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12)))))
% 1.77/0.75 -> [36] ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [36] BETA_OR : (! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22))
% 1.77/0.75 -> [48] ! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15)))
% 1.77/0.75 -> [49] p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [49] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [64] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [65] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [65] CLOSURE : ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [64] BETA_OR : (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22))
% 1.77/0.75 -> [90] ! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13)))
% 1.77/0.75 -> [91] p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [90] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [102] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [103] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [103] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [119] ~~p101(skolem_X22)
% 1.77/0.75 -> [120] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [120] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [119] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [166] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [166] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [102] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [113] ~~p101(skolem_X22)
% 1.77/0.75 -> [114] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [113] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [176] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [176] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [114] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [91] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [109] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [110] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [110] CLOSURE : ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [109] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [185] ~~p101(skolem_X22)
% 1.77/0.75 -> [186] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [186] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [185] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [188] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [188] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [48] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [79] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [80] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [80] BETA_OR : (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22))
% 1.77/0.75 -> [100] ! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13)))
% 1.77/0.75 -> [101] p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [100] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [168] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [169] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [169] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [174] ~~p101(skolem_X22)
% 1.77/0.75 -> [175] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [175] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [174] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [182] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [182] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [168] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [180] ~~p101(skolem_X22)
% 1.77/0.75 -> [181] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [181] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [180] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [184] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [184] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [101] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [170] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [171] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [171] CLOSURE : ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [170] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [178] ~~p101(skolem_X22)
% 1.77/0.75 -> [179] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [179] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [178] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [183] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [183] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [79] BETA_OR : (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22))
% 1.77/0.75 -> [88] ! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13)))
% 1.77/0.75 -> [89] p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [89] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [137] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [138] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [138] CLOSURE : ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [137] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [145] ~~p101(skolem_X22)
% 1.77/0.75 -> [146] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [146] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [145] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [159] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [159] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [88] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [147] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [148] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [147] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [157] ~~p101(skolem_X22)
% 1.77/0.75 -> [158] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [157] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [191] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [191] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [158] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [148] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [192] ~~p101(skolem_X22)
% 1.77/0.75 -> [193] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [193] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [192] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [195] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [195] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [35] ALPHA_AND : (~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12)))))
% 1.77/0.75 -> [44] ~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))), ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))
% 1.77/0.75
% 1.77/0.75 [44] DELTA_NOT_FORALL : ~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11))))
% 1.77/0.75 -> [50] ~(~r1(skolem_X22, skolem_Y1111) | ~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111)))
% 1.77/0.75
% 1.77/0.75 [50] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y1111) | ~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111)))
% 1.77/0.75 -> [55] ~~r1(skolem_X22, skolem_Y1111), ~~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [55] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [81] r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [81] ALPHA_NOT_NOT : ~~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75 -> [97] ((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [97] ALPHA_AND : ((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75 -> [106] (~p2(skolem_Y1111) & ~p102(skolem_Y1111)), p101(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [106] ALPHA_AND : (~p2(skolem_Y1111) & ~p102(skolem_Y1111))
% 1.77/0.75 -> [132] ~p2(skolem_Y1111), ~p102(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [132] DELTA_NOT_FORALL : ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))
% 1.77/0.75 -> [187] ~(~r1(skolem_X22, skolem_Y1212) | ~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212)))
% 1.77/0.75
% 1.77/0.75 [187] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y1212) | ~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212)))
% 1.77/0.75 -> [189] ~~r1(skolem_X22, skolem_Y1212), ~~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75
% 1.77/0.75 [189] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y1212)
% 1.77/0.75 -> [190] r1(skolem_X22, skolem_Y1212)
% 1.77/0.75
% 1.77/0.75 [190] ALPHA_NOT_NOT : ~~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75 -> [210] ((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75
% 1.77/0.75 [210] ALPHA_AND : ((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75 -> [213] (p2(skolem_Y1212) & ~p102(skolem_Y1212)), p101(skolem_Y1212)
% 1.77/0.75
% 1.77/0.75 [213] ALPHA_AND : (p2(skolem_Y1212) & ~p102(skolem_Y1212))
% 1.77/0.75 -> [218] p2(skolem_Y1212), ~p102(skolem_Y1212)
% 1.77/0.75
% 1.77/0.75 [218] BETA_OR : (! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22))
% 1.77/0.75 -> [233] ! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15)))
% 1.77/0.75 -> [234] p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [234] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [292] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [293] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [293] CLOSURE : ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [292] BETA_OR : (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22))
% 1.77/0.75 -> [298] ! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13)))
% 1.77/0.75 -> [299] p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [298] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [308] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [309] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [309] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [326] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [326] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [334] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [335] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [335] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [334] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [308] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [312] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [312] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [314] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [315] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [315] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [314] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [299] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [327] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [328] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [328] CLOSURE : ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [327] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [331] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [331] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [332] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [333] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [333] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [332] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [233] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [239] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [240] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [239] BETA_OR : (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22))
% 1.77/0.75 -> [245] ! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13)))
% 1.77/0.75 -> [246] p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [245] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [254] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [255] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [254] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [270] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [270] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [271] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [272] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [272] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [271] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [255] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [273] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [273] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [274] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [275] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [275] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [274] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [246] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [329] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [330] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [330] CLOSURE : ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [329] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [336] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [336] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [338] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [339] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [339] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [338] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [240] BETA_OR : (! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13))) | p2(skolem_X22))
% 1.77/0.75 -> [290] ! [Y13_13] : (((~r1(skolem_X22, Y13_13) | ~p2(Y13_13)) | ~p101(Y13_13)))
% 1.77/0.75 -> [291] p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [291] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [306] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [307] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [307] CLOSURE : ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [306] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [318] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [318] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [322] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [323] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [323] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [322] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [290] BETA_OR : (! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14))) | ~p2(skolem_X22))
% 1.77/0.75 -> [296] ! [Y14_14] : (((~r1(skolem_X22, Y14_14) | p2(Y14_14)) | ~p101(Y14_14)))
% 1.77/0.75 -> [297] ~p2(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [296] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [303] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [303] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [304] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [305] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [305] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [304] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [297] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [337] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [337] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [340] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [341] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [341] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [340] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [26] BETA_OR : ((~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))) | ~(~p101(skolem_X22) & p100(skolem_X22)))
% 1.77/0.75 -> [30] (~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12)))))
% 1.77/0.75 -> [31] ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75
% 1.77/0.75 [31] BETA_OR : (! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22))
% 1.77/0.75 -> [37] ! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15)))
% 1.77/0.75 -> [38] p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [38] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [69] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [70] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [70] CLOSURE : ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [69] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [76] ~~p101(skolem_X22)
% 1.77/0.75 -> [77] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [77] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [76] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [115] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [115] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [37] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [45] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [46] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [46] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [56] ~~p101(skolem_X22)
% 1.77/0.75 -> [57] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [57] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [56] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [68] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [68] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [45] BETA_NOT_AND : ~(~p101(skolem_X22) & p100(skolem_X22))
% 1.77/0.75 -> [98] ~~p101(skolem_X22)
% 1.77/0.75 -> [99] ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [99] CLOSURE : ~p100(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [98] ALPHA_NOT_NOT : ~~p101(skolem_X22)
% 1.77/0.75 -> [117] p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [117] CLOSURE : p101(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [30] ALPHA_AND : (~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))) & ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12)))))
% 1.77/0.75 -> [39] ~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11)))), ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))
% 1.77/0.75
% 1.77/0.75 [39] DELTA_NOT_FORALL : ~! [Y11_11] : ((~r1(skolem_X22, Y11_11) | ~((~p2(Y11_11) & ~p102(Y11_11)) & p101(Y11_11))))
% 1.77/0.75 -> [47] ~(~r1(skolem_X22, skolem_Y1111) | ~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111)))
% 1.77/0.75
% 1.77/0.75 [47] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y1111) | ~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111)))
% 1.77/0.75 -> [53] ~~r1(skolem_X22, skolem_Y1111), ~~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [53] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [59] r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [59] ALPHA_NOT_NOT : ~~((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75 -> [204] ((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [204] ALPHA_AND : ((~p2(skolem_Y1111) & ~p102(skolem_Y1111)) & p101(skolem_Y1111))
% 1.77/0.75 -> [206] (~p2(skolem_Y1111) & ~p102(skolem_Y1111)), p101(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [206] ALPHA_AND : (~p2(skolem_Y1111) & ~p102(skolem_Y1111))
% 1.77/0.75 -> [207] ~p2(skolem_Y1111), ~p102(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [207] DELTA_NOT_FORALL : ~! [Y12_12] : ((~r1(skolem_X22, Y12_12) | ~((p2(Y12_12) & ~p102(Y12_12)) & p101(Y12_12))))
% 1.77/0.75 -> [214] ~(~r1(skolem_X22, skolem_Y1212) | ~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212)))
% 1.77/0.75
% 1.77/0.75 [214] ALPHA_NOT_OR : ~(~r1(skolem_X22, skolem_Y1212) | ~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212)))
% 1.77/0.75 -> [215] ~~r1(skolem_X22, skolem_Y1212), ~~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75
% 1.77/0.75 [215] ALPHA_NOT_NOT : ~~r1(skolem_X22, skolem_Y1212)
% 1.77/0.75 -> [217] r1(skolem_X22, skolem_Y1212)
% 1.77/0.75
% 1.77/0.75 [217] ALPHA_NOT_NOT : ~~((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75 -> [220] ((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75
% 1.77/0.75 [220] ALPHA_AND : ((p2(skolem_Y1212) & ~p102(skolem_Y1212)) & p101(skolem_Y1212))
% 1.77/0.75 -> [221] (p2(skolem_Y1212) & ~p102(skolem_Y1212)), p101(skolem_Y1212)
% 1.77/0.75
% 1.77/0.75 [221] ALPHA_AND : (p2(skolem_Y1212) & ~p102(skolem_Y1212))
% 1.77/0.75 -> [235] p2(skolem_Y1212), ~p102(skolem_Y1212)
% 1.77/0.75
% 1.77/0.75 [235] BETA_OR : (! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15))) | p1(skolem_X22))
% 1.77/0.75 -> [316] ! [Y15_15] : (((~r1(skolem_X22, Y15_15) | ~p1(Y15_15)) | ~p100(Y15_15)))
% 1.77/0.75 -> [317] p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [317] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [342] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [343] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [343] CLOSURE : ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [342] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [346] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [346] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [347] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [348] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [348] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [347] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [316] BETA_OR : (! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16))) | ~p1(skolem_X22))
% 1.77/0.75 -> [344] ! [Y16_16] : (((~r1(skolem_X22, Y16_16) | p1(Y16_16)) | ~p100(Y16_16)))
% 1.77/0.75 -> [345] ~p1(skolem_X22)
% 1.77/0.75
% 1.77/0.75 [344] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [349] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [349] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [350] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [351] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [351] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [350] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [345] GAMMA_FORALL : ! [Y3_3] : ((~r1(skolem_X22, Y3_3) | p2(Y3_3)))
% 1.77/0.75 -> [352] (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75
% 1.77/0.75 [352] BETA_OR : (~r1(skolem_X22, skolem_Y1111) | p2(skolem_Y1111))
% 1.77/0.75 -> [353] ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75 -> [354] p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [353] CLOSURE : ~r1(skolem_X22, skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 [354] CLOSURE : p2(skolem_Y1111)
% 1.77/0.75
% 1.77/0.75 % SZS output end Proof for theBenchmark.p
% 1.77/0.75 [0.409340s][1][Res] 1423 goroutines created
% 1.77/0.75 ==== Result ====
% 1.77/0.75 [0.409364s][1][Res] VALID
% 1.77/0.75 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------