TSTP Solution File: SYN938+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN938+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n002.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 : Thu Sep 29 22:25:02 EDT 2022
% Result : Theorem 9.76s 3.95s
% Output : Proof 9.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN938+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 09:48:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000047s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.37 Start search
% 0.20/0.38 nb_step : 1 - limit : 108
% 0.20/0.38 Launch Gotab with destructive = true
% 8.18/3.40 % SZS output start Proof for theBenchmark.p
% 9.76/3.94 [0] BETA_NOT_AND : ~((((((((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))) & ! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138)))) & (((a0 <=> b0) | a0) | b0)) & ((a0 & b0) => (a0 <=> b0))) & ! [A140_140, B141_141] : (? [X142_142, Y143_143] : ((((((((((q1(X142_142) => p(X142_142, A140_140)) & q1(A140_140)) & q1(B141_141)) & (r1(Y143_143) => p(B141_141, Y143_143))) & r1(A140_140)) & r1(B141_141)) & (s1(A140_140) => p(X142_142, Y143_143))) & s1(A140_140)) => p(A140_140, B141_141))))) & ! [B144_144] : ((! [Y145_145] : (((r1(B144_144) => r1(Y145_145)) => p(f(Y145_145), Y145_145))) => ? [X146_146, Y147_147] : ((p(X146_146, Y147_147) & (q(f(B144_144), B144_144) => q(X146_146, Y147_147))))))) & ((! [X148_148] : ((p1(X148_148) => q1(X148_148))) & ? [Y149_149] : ((q1(Y149_149) => r1(Y149_149)))) => ? [Z150_150] : ((p1(Z150_150) => r1(Z150_150)))))
% 9.76/3.94 -> [1] ~(((((((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))) & ! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138)))) & (((a0 <=> b0) | a0) | b0)) & ((a0 & b0) => (a0 <=> b0))) & ! [A140_140, B141_141] : (? [X142_142, Y143_143] : ((((((((((q1(X142_142) => p(X142_142, A140_140)) & q1(A140_140)) & q1(B141_141)) & (r1(Y143_143) => p(B141_141, Y143_143))) & r1(A140_140)) & r1(B141_141)) & (s1(A140_140) => p(X142_142, Y143_143))) & s1(A140_140)) => p(A140_140, B141_141))))) & ! [B144_144] : ((! [Y145_145] : (((r1(B144_144) => r1(Y145_145)) => p(f(Y145_145), Y145_145))) => ? [X146_146, Y147_147] : ((p(X146_146, Y147_147) & (q(f(B144_144), B144_144) => q(X146_146, Y147_147)))))))
% 9.76/3.94 -> [2] ~((! [X148_148] : ((p1(X148_148) => q1(X148_148))) & ? [Y149_149] : ((q1(Y149_149) => r1(Y149_149)))) => ? [Z150_150] : ((p1(Z150_150) => r1(Z150_150))))
% 9.76/3.94
% 9.76/3.94 [2] ALPHA_NOT_IMPLY : ~((! [X148_148] : ((p1(X148_148) => q1(X148_148))) & ? [Y149_149] : ((q1(Y149_149) => r1(Y149_149)))) => ? [Z150_150] : ((p1(Z150_150) => r1(Z150_150))))
% 9.76/3.94 -> [3] (! [X148_148] : ((p1(X148_148) => q1(X148_148))) & ? [Y149_149] : ((q1(Y149_149) => r1(Y149_149)))), ~? [Z150_150] : ((p1(Z150_150) => r1(Z150_150)))
% 9.76/3.94
% 9.76/3.94 [3] ALPHA_AND : (! [X148_148] : ((p1(X148_148) => q1(X148_148))) & ? [Y149_149] : ((q1(Y149_149) => r1(Y149_149))))
% 9.76/3.94 -> [4] ! [X148_148] : ((p1(X148_148) => q1(X148_148))), ? [Y149_149] : ((q1(Y149_149) => r1(Y149_149)))
% 9.76/3.94
% 9.76/3.94 [4] DELTA_EXISTS : ? [Y149_149] : ((q1(Y149_149) => r1(Y149_149)))
% 9.76/3.94 -> [5] (q1(skolem_Y149149) => r1(skolem_Y149149))
% 9.76/3.94
% 9.76/3.94 [5] BETA_IMPLY : (q1(skolem_Y149149) => r1(skolem_Y149149))
% 9.76/3.94 -> [6] ~q1(skolem_Y149149)
% 9.76/3.94 -> [7] r1(skolem_Y149149)
% 9.76/3.94
% 9.76/3.94 [7] GAMMA_NOT_EXISTS : ~? [Z150_150] : ((p1(Z150_150) => r1(Z150_150)))
% 9.76/3.94 -> [9] ~(p1(Z150_1_0) => r1(Z150_1_0))
% 9.76/3.94
% 9.76/3.94 [9] ALPHA_NOT_IMPLY : ~(p1(Z150_1_0) => r1(Z150_1_0))
% 9.76/3.94 -> [11] p1(Z150_1_0), ~r1(Z150_1_0)
% 9.76/3.94
% 9.76/3.94 [11] CLOSURE : ~r1(Z150_1_0)
% 9.76/3.94
% 9.76/3.94 [6] GAMMA_NOT_EXISTS : ~? [Z150_150] : ((p1(Z150_150) => r1(Z150_150)))
% 9.76/3.94 -> [8] ~(p1(skolem_Y149149) => r1(skolem_Y149149))
% 9.76/3.94
% 9.76/3.94 [8] ALPHA_NOT_IMPLY : ~(p1(skolem_Y149149) => r1(skolem_Y149149))
% 9.76/3.94 -> [10] p1(skolem_Y149149), ~r1(skolem_Y149149)
% 9.76/3.94
% 9.76/3.94 [10] GAMMA_FORALL : ! [X148_148] : ((p1(X148_148) => q1(X148_148)))
% 9.76/3.94 -> [12] (p1(skolem_Y149149) => q1(skolem_Y149149))
% 9.76/3.94
% 9.76/3.94 [12] BETA_IMPLY : (p1(skolem_Y149149) => q1(skolem_Y149149))
% 9.76/3.94 -> [13] ~p1(skolem_Y149149)
% 9.76/3.94 -> [14] q1(skolem_Y149149)
% 9.76/3.94
% 9.76/3.94 [13] CLOSURE : ~p1(skolem_Y149149)
% 9.76/3.94
% 9.76/3.94 [14] CLOSURE : q1(skolem_Y149149)
% 9.76/3.94
% 9.76/3.94 [1] BETA_NOT_AND : ~(((((((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))) & ! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138)))) & (((a0 <=> b0) | a0) | b0)) & ((a0 & b0) => (a0 <=> b0))) & ! [A140_140, B141_141] : (? [X142_142, Y143_143] : ((((((((((q1(X142_142) => p(X142_142, A140_140)) & q1(A140_140)) & q1(B141_141)) & (r1(Y143_143) => p(B141_141, Y143_143))) & r1(A140_140)) & r1(B141_141)) & (s1(A140_140) => p(X142_142, Y143_143))) & s1(A140_140)) => p(A140_140, B141_141))))) & ! [B144_144] : ((! [Y145_145] : (((r1(B144_144) => r1(Y145_145)) => p(f(Y145_145), Y145_145))) => ? [X146_146, Y147_147] : ((p(X146_146, Y147_147) & (q(f(B144_144), B144_144) => q(X146_146, Y147_147)))))))
% 9.76/3.94 -> [15] ~((((((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))) & ! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138)))) & (((a0 <=> b0) | a0) | b0)) & ((a0 & b0) => (a0 <=> b0))) & ! [A140_140, B141_141] : (? [X142_142, Y143_143] : ((((((((((q1(X142_142) => p(X142_142, A140_140)) & q1(A140_140)) & q1(B141_141)) & (r1(Y143_143) => p(B141_141, Y143_143))) & r1(A140_140)) & r1(B141_141)) & (s1(A140_140) => p(X142_142, Y143_143))) & s1(A140_140)) => p(A140_140, B141_141)))))
% 9.76/3.94 -> [16] ~! [B144_144] : ((! [Y145_145] : (((r1(B144_144) => r1(Y145_145)) => p(f(Y145_145), Y145_145))) => ? [X146_146, Y147_147] : ((p(X146_146, Y147_147) & (q(f(B144_144), B144_144) => q(X146_146, Y147_147))))))
% 9.76/3.94
% 9.76/3.94 [16] DELTA_NOT_FORALL : ~! [B144_144] : ((! [Y145_145] : (((r1(B144_144) => r1(Y145_145)) => p(f(Y145_145), Y145_145))) => ? [X146_146, Y147_147] : ((p(X146_146, Y147_147) & (q(f(B144_144), B144_144) => q(X146_146, Y147_147))))))
% 9.76/3.94 -> [17] ~(! [Y145_145] : (((r1(skolem_B144144) => r1(Y145_145)) => p(f(Y145_145), Y145_145))) => ? [X146_146, Y147_147] : ((p(X146_146, Y147_147) & (q(f(skolem_B144144), skolem_B144144) => q(X146_146, Y147_147)))))
% 9.76/3.94
% 9.76/3.94 [17] ALPHA_NOT_IMPLY : ~(! [Y145_145] : (((r1(skolem_B144144) => r1(Y145_145)) => p(f(Y145_145), Y145_145))) => ? [X146_146, Y147_147] : ((p(X146_146, Y147_147) & (q(f(skolem_B144144), skolem_B144144) => q(X146_146, Y147_147)))))
% 9.76/3.94 -> [18] ! [Y145_145] : (((r1(skolem_B144144) => r1(Y145_145)) => p(f(Y145_145), Y145_145))), ~? [X146_146, Y147_147] : ((p(X146_146, Y147_147) & (q(f(skolem_B144144), skolem_B144144) => q(X146_146, Y147_147))))
% 9.76/3.94
% 9.76/3.94 [18] GAMMA_FORALL : ! [Y145_145] : (((r1(skolem_B144144) => r1(Y145_145)) => p(f(Y145_145), Y145_145)))
% 9.76/3.94 -> [19] ((r1(skolem_B144144) => r1(skolem_B144144)) => p(f(skolem_B144144), skolem_B144144))
% 9.76/3.94
% 9.76/3.94 [19] BETA_IMPLY : ((r1(skolem_B144144) => r1(skolem_B144144)) => p(f(skolem_B144144), skolem_B144144))
% 9.76/3.94 -> [20] ~(r1(skolem_B144144) => r1(skolem_B144144))
% 9.76/3.94 -> [21] p(f(skolem_B144144), skolem_B144144)
% 9.76/3.94
% 9.76/3.94 [20] ALPHA_NOT_IMPLY : ~(r1(skolem_B144144) => r1(skolem_B144144))
% 9.76/3.94 -> [22] r1(skolem_B144144), ~r1(skolem_B144144)
% 9.76/3.94
% 9.76/3.94 [22] CLOSURE : ~r1(skolem_B144144)
% 9.76/3.94
% 9.76/3.94 [21] GAMMA_NOT_EXISTS : ~? [X146_146, Y147_147] : ((p(X146_146, Y147_147) & (q(f(skolem_B144144), skolem_B144144) => q(X146_146, Y147_147))))
% 9.76/3.94 -> [23] ~(p(f(skolem_B144144), skolem_B144144) & (q(f(skolem_B144144), skolem_B144144) => q(f(skolem_B144144), skolem_B144144)))
% 9.76/3.94
% 9.76/3.94 [23] BETA_NOT_AND : ~(p(f(skolem_B144144), skolem_B144144) & (q(f(skolem_B144144), skolem_B144144) => q(f(skolem_B144144), skolem_B144144)))
% 9.76/3.94 -> [24] ~p(f(skolem_B144144), skolem_B144144)
% 9.76/3.94 -> [25] ~(q(f(skolem_B144144), skolem_B144144) => q(f(skolem_B144144), skolem_B144144))
% 9.76/3.94
% 9.76/3.94 [25] ALPHA_NOT_IMPLY : ~(q(f(skolem_B144144), skolem_B144144) => q(f(skolem_B144144), skolem_B144144))
% 9.76/3.94 -> [26] q(f(skolem_B144144), skolem_B144144), ~q(f(skolem_B144144), skolem_B144144)
% 9.76/3.94
% 9.76/3.94 [26] CLOSURE : ~q(f(skolem_B144144), skolem_B144144)
% 9.76/3.94
% 9.76/3.94 [24] CLOSURE : ~p(f(skolem_B144144), skolem_B144144)
% 9.76/3.94
% 9.76/3.94 [15] BETA_NOT_AND : ~((((((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))) & ! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138)))) & (((a0 <=> b0) | a0) | b0)) & ((a0 & b0) => (a0 <=> b0))) & ! [A140_140, B141_141] : (? [X142_142, Y143_143] : ((((((((((q1(X142_142) => p(X142_142, A140_140)) & q1(A140_140)) & q1(B141_141)) & (r1(Y143_143) => p(B141_141, Y143_143))) & r1(A140_140)) & r1(B141_141)) & (s1(A140_140) => p(X142_142, Y143_143))) & s1(A140_140)) => p(A140_140, B141_141)))))
% 9.76/3.94 -> [27] ~(((((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))) & ! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138)))) & (((a0 <=> b0) | a0) | b0)) & ((a0 & b0) => (a0 <=> b0)))
% 9.76/3.94 -> [28] ~! [A140_140, B141_141] : (? [X142_142, Y143_143] : ((((((((((q1(X142_142) => p(X142_142, A140_140)) & q1(A140_140)) & q1(B141_141)) & (r1(Y143_143) => p(B141_141, Y143_143))) & r1(A140_140)) & r1(B141_141)) & (s1(A140_140) => p(X142_142, Y143_143))) & s1(A140_140)) => p(A140_140, B141_141))))
% 9.76/3.94
% 9.76/3.94 [28] DELTA_NOT_FORALL : ~! [A140_140, B141_141] : (? [X142_142, Y143_143] : ((((((((((q1(X142_142) => p(X142_142, A140_140)) & q1(A140_140)) & q1(B141_141)) & (r1(Y143_143) => p(B141_141, Y143_143))) & r1(A140_140)) & r1(B141_141)) & (s1(A140_140) => p(X142_142, Y143_143))) & s1(A140_140)) => p(A140_140, B141_141))))
% 9.76/3.94 -> [29] ~? [X142_142, Y143_143] : ((((((((((q1(X142_142) => p(X142_142, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(Y143_143) => p(skolem_B141141, Y143_143))) & r1(skolem_A140140)) & r1(skolem_B141141)) & (s1(skolem_A140140) => p(X142_142, Y143_143))) & s1(skolem_A140140)) => p(skolem_A140140, skolem_B141141)))
% 9.76/3.94
% 9.76/3.94 [29] GAMMA_NOT_EXISTS : ~? [X142_142, Y143_143] : ((((((((((q1(X142_142) => p(X142_142, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(Y143_143) => p(skolem_B141141, Y143_143))) & r1(skolem_A140140)) & r1(skolem_B141141)) & (s1(skolem_A140140) => p(X142_142, Y143_143))) & s1(skolem_A140140)) => p(skolem_A140140, skolem_B141141)))
% 9.76/3.94 -> [30] ~(((((((((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141))) & r1(skolem_A140140)) & r1(skolem_B141141)) & (s1(skolem_A140140) => p(skolem_A140140, skolem_B141141))) & s1(skolem_A140140)) => p(skolem_A140140, skolem_B141141))
% 9.76/3.94
% 9.76/3.94 [30] ALPHA_NOT_IMPLY : ~(((((((((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141))) & r1(skolem_A140140)) & r1(skolem_B141141)) & (s1(skolem_A140140) => p(skolem_A140140, skolem_B141141))) & s1(skolem_A140140)) => p(skolem_A140140, skolem_B141141))
% 9.76/3.94 -> [31] ((((((((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141))) & r1(skolem_A140140)) & r1(skolem_B141141)) & (s1(skolem_A140140) => p(skolem_A140140, skolem_B141141))) & s1(skolem_A140140)), ~p(skolem_A140140, skolem_B141141)
% 9.76/3.94
% 9.76/3.94 [31] ALPHA_AND : ((((((((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141))) & r1(skolem_A140140)) & r1(skolem_B141141)) & (s1(skolem_A140140) => p(skolem_A140140, skolem_B141141))) & s1(skolem_A140140))
% 9.76/3.94 -> [32] (((((((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141))) & r1(skolem_A140140)) & r1(skolem_B141141)) & (s1(skolem_A140140) => p(skolem_A140140, skolem_B141141))), s1(skolem_A140140)
% 9.76/3.94
% 9.76/3.94 [32] ALPHA_AND : (((((((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141))) & r1(skolem_A140140)) & r1(skolem_B141141)) & (s1(skolem_A140140) => p(skolem_A140140, skolem_B141141)))
% 9.76/3.94 -> [33] ((((((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141))) & r1(skolem_A140140)) & r1(skolem_B141141)), (s1(skolem_A140140) => p(skolem_A140140, skolem_B141141))
% 9.76/3.94
% 9.76/3.94 [33] ALPHA_AND : ((((((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141))) & r1(skolem_A140140)) & r1(skolem_B141141))
% 9.76/3.94 -> [34] (((((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141))) & r1(skolem_A140140)), r1(skolem_B141141)
% 9.76/3.94
% 9.76/3.94 [34] ALPHA_AND : (((((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141))) & r1(skolem_A140140))
% 9.76/3.94 -> [35] ((((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141))), r1(skolem_A140140)
% 9.76/3.94
% 9.76/3.94 [35] ALPHA_AND : ((((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)) & (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141)))
% 9.76/3.94 -> [36] (((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141)), (r1(skolem_B141141) => p(skolem_B141141, skolem_B141141))
% 9.76/3.94
% 9.76/3.94 [36] ALPHA_AND : (((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)) & q1(skolem_B141141))
% 9.76/3.94 -> [37] ((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140)), q1(skolem_B141141)
% 9.76/3.94
% 9.76/3.94 [37] ALPHA_AND : ((q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)) & q1(skolem_A140140))
% 9.76/3.94 -> [38] (q1(skolem_A140140) => p(skolem_A140140, skolem_A140140)), q1(skolem_A140140)
% 9.76/3.94
% 9.76/3.94 [38] BETA_IMPLY : (s1(skolem_A140140) => p(skolem_A140140, skolem_B141141))
% 9.76/3.94 -> [39] ~s1(skolem_A140140)
% 9.76/3.94 -> [40] p(skolem_A140140, skolem_B141141)
% 9.76/3.94
% 9.76/3.94 [39] CLOSURE : ~s1(skolem_A140140)
% 9.76/3.94
% 9.76/3.94 [40] CLOSURE : p(skolem_A140140, skolem_B141141)
% 9.76/3.94
% 9.76/3.94 [27] BETA_NOT_AND : ~(((((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))) & ! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138)))) & (((a0 <=> b0) | a0) | b0)) & ((a0 & b0) => (a0 <=> b0)))
% 9.76/3.94 -> [41] ~((((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))) & ! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138)))) & (((a0 <=> b0) | a0) | b0))
% 9.76/3.94 -> [42] ~((a0 & b0) => (a0 <=> b0))
% 9.76/3.94
% 9.76/3.94 [42] ALPHA_NOT_IMPLY : ~((a0 & b0) => (a0 <=> b0))
% 9.76/3.94 -> [43] (a0 & b0), ~(a0 <=> b0)
% 9.76/3.94
% 9.76/3.94 [43] ALPHA_AND : (a0 & b0)
% 9.76/3.94 -> [44] a0, b0
% 9.76/3.94
% 9.76/3.94 [44] BETA_NOT_EQUIV : ~(a0 <=> b0)
% 9.76/3.94 -> [45] ~a0, b0
% 9.76/3.94 -> [46] a0, ~b0
% 9.76/3.94
% 9.76/3.94 [45] CLOSURE : ~a0
% 9.76/3.94
% 9.76/3.94 [46] CLOSURE : ~b0
% 9.76/3.94
% 9.76/3.94 [41] BETA_NOT_AND : ~((((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))) & ! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138)))) & (((a0 <=> b0) | a0) | b0))
% 9.76/3.95 -> [47] ~(((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))) & ! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138))))
% 9.76/3.95 -> [48] ~(((a0 <=> b0) | a0) | b0)
% 9.76/3.95
% 9.76/3.95 [48] ALPHA_NOT_OR : ~(((a0 <=> b0) | a0) | b0)
% 9.76/3.95 -> [49] ~((a0 <=> b0) | a0), ~b0
% 9.76/3.95
% 9.76/3.95 [49] ALPHA_NOT_OR : ~((a0 <=> b0) | a0)
% 9.76/3.95 -> [50] ~(a0 <=> b0), ~a0
% 9.76/3.95
% 9.76/3.95 [50] BETA_NOT_EQUIV : ~(a0 <=> b0)
% 9.76/3.95 -> [51] ~a0, b0
% 9.76/3.95 -> [52] a0, ~b0
% 9.76/3.95
% 9.76/3.95 [51] CLOSURE : b0
% 9.76/3.95
% 9.76/3.95 [52] CLOSURE : a0
% 9.76/3.95
% 9.76/3.95 [47] BETA_NOT_AND : ~(((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))) & ! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138))))
% 9.76/3.95 -> [53] ~((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137))))
% 9.76/3.95 -> [54] ~! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138)))
% 9.76/3.95
% 9.76/3.95 [54] DELTA_NOT_FORALL : ~! [A138_138] : ((((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(A138_138)))
% 9.76/3.95 -> [55] ~(((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(skolem_A138138))
% 9.76/3.95
% 9.76/3.95 [55] ALPHA_NOT_IMPLY : ~(((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))) => q1(skolem_A138138))
% 9.76/3.95 -> [56] ((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139)))), ~q1(skolem_A138138)
% 9.76/3.95
% 9.76/3.95 [56] ALPHA_AND : ((f0 | g0) & ! [X139_139] : ((p1(X139_139) & q1(X139_139))))
% 9.76/3.95 -> [57] (f0 | g0), ! [X139_139] : ((p1(X139_139) & q1(X139_139)))
% 9.76/3.95
% 9.76/3.95 [57] BETA_OR : (f0 | g0)
% 9.76/3.95 -> [58] f0
% 9.76/3.95 -> [59] g0
% 9.76/3.95
% 9.76/3.95 [58] GAMMA_FORALL : ! [X139_139] : ((p1(X139_139) & q1(X139_139)))
% 9.76/3.95 -> [60] (p1(X139_0_0) & q1(X139_0_0))
% 9.76/3.95
% 9.76/3.95 [60] ALPHA_AND : (p1(X139_0_0) & q1(X139_0_0))
% 9.76/3.95 -> [62] p1(X139_0_0), q1(X139_0_0)
% 9.76/3.95
% 9.76/3.95 [62] CLOSURE : q1(X139_0_0)
% 9.76/3.95
% 9.76/3.95 [59] GAMMA_FORALL : ! [X139_139] : ((p1(X139_139) & q1(X139_139)))
% 9.76/3.95 -> [61] (p1(X139_1_0) & q1(X139_1_0))
% 9.76/3.95
% 9.76/3.95 [61] ALPHA_AND : (p1(X139_1_0) & q1(X139_1_0))
% 9.76/3.95 -> [63] p1(X139_1_0), q1(X139_1_0)
% 9.76/3.95
% 9.76/3.95 [63] CLOSURE : q1(X139_1_0)
% 9.76/3.95
% 9.76/3.95 [53] BETA_NOT_AND : ~((((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))) & (! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137))))
% 9.76/3.95 -> [64] ~(((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134))))
% 9.76/3.95 -> [65] ~(! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))
% 9.76/3.95
% 9.76/3.95 [65] ALPHA_NOT_IMPLY : ~(! [X135_135, Y136_136] : (p(X135_135, Y136_136)) => ! [X137_137] : (p(X137_137, X137_137)))
% 9.76/3.95 -> [66] ! [X135_135, Y136_136] : (p(X135_135, Y136_136)), ~! [X137_137] : (p(X137_137, X137_137))
% 9.76/3.95
% 9.76/3.95 [66] DELTA_NOT_FORALL : ~! [X137_137] : (p(X137_137, X137_137))
% 9.76/3.95 -> [67] ~p(skolem_X137137, skolem_X137137)
% 9.76/3.95
% 9.76/3.95 [67] GAMMA_FORALL : ! [X135_135, Y136_136] : (p(X135_135, Y136_136))
% 9.76/3.95 -> [68] p(X135_0_0, Y136_0_0)
% 9.76/3.95
% 9.76/3.95 [68] CLOSURE : p(X135_0_0, Y136_0_0)
% 9.76/3.95
% 9.76/3.95 [64] BETA_NOT_AND : ~(((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z))) & (? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134))))
% 9.76/3.95 -> [69] ~((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z)))
% 9.76/3.95 -> [70] ~(? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))
% 9.76/3.95
% 9.76/3.95 [70] ALPHA_NOT_IMPLY : ~(? [X133_133] : (p1(X133_133)) => ? [Y134_134] : (p1(Y134_134)))
% 9.76/3.95 -> [71] ? [X133_133] : (p1(X133_133)), ~? [Y134_134] : (p1(Y134_134))
% 9.76/3.95
% 9.76/3.95 [71] DELTA_EXISTS : ? [X133_133] : (p1(X133_133))
% 9.76/3.95 -> [72] p1(skolem_X133133)
% 9.76/3.95
% 9.76/3.95 [72] GAMMA_NOT_EXISTS : ~? [Y134_134] : (p1(Y134_134))
% 9.76/3.95 -> [73] ~p1(Y134_0_0)
% 9.76/3.95
% 9.76/3.95 [73] CLOSURE : ~p1(Y134_0_0)
% 9.76/3.95
% 9.76/3.95 [69] BETA_NOT_AND : ~((((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))) & (p1(z) => p1(z)))
% 9.76/3.95 -> [74] ~(((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131)))))
% 9.76/3.95 -> [75] ~(p1(z) => p1(z))
% 9.76/3.95
% 9.76/3.95 [75] ALPHA_NOT_IMPLY : ~(p1(z) => p1(z))
% 9.76/3.95 -> [76] p1(z), ~p1(z)
% 9.76/3.95
% 9.76/3.95 [76] CLOSURE : p1(z)
% 9.76/3.95
% 9.76/3.95 [74] BETA_NOT_AND : ~(((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))) & (? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131)))))
% 9.76/3.95 -> [77] ~((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127))))
% 9.76/3.95 -> [78] ~(? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))
% 9.76/3.95
% 9.76/3.95 [78] ALPHA_NOT_IMPLY : ~(? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))) => ! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131))))
% 9.76/3.95 -> [79] ? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130))), ~! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131)))
% 9.76/3.95
% 9.76/3.95 [79] DELTA_EXISTS : ? [X129_129] : (! [Y130_130] : (p(X129_129, Y130_130)))
% 9.76/3.95 -> [80] ! [Y130_130] : (p(skolem_X129129, Y130_130))
% 9.76/3.95
% 9.76/3.95 [80] DELTA_NOT_FORALL : ~! [Y131_131] : (? [X132_132] : (p(X132_132, Y131_131)))
% 9.76/3.95 -> [81] ~? [X132_132] : (p(X132_132, skolem_Y131131))
% 9.76/3.95
% 9.76/3.95 [81] GAMMA_FORALL : ! [Y130_130] : (p(skolem_X129129, Y130_130))
% 9.76/3.95 -> [82] p(skolem_X129129, Y130_0_0)
% 9.76/3.95
% 9.76/3.95 [82] GAMMA_NOT_EXISTS : ~? [X132_132] : (p(X132_132, skolem_Y131131))
% 9.76/3.95 -> [83] ~p(X132_0_1, skolem_Y131131)
% 9.76/3.95
% 9.76/3.95 [83] CLOSURE : ~p(X132_0_1, skolem_Y131131)
% 9.76/3.95
% 9.76/3.95 [77] BETA_NOT_AND : ~((((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))) & ? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127))))
% 9.76/3.95 -> [84] ~(((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124))))))
% 9.76/3.95 -> [85] ~? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))
% 9.76/3.95
% 9.76/3.95 [85] GAMMA_NOT_EXISTS : ~? [Y127_127] : ((? [X128_128] : (p1(X128_128)) => p1(Y127_127)))
% 9.76/3.95 -> [86] ~(? [X128_128] : (p1(X128_128)) => p1(Y127_0_0))
% 9.76/3.95
% 9.76/3.95 [86] ALPHA_NOT_IMPLY : ~(? [X128_128] : (p1(X128_128)) => p1(Y127_0_0))
% 9.76/3.95 -> [87] ? [X128_128] : (p1(X128_128)), ~p1(Y127_0_0)
% 9.76/3.95
% 9.76/3.95 [87] DELTA_EXISTS : ? [X128_128] : (p1(X128_128))
% 9.76/3.95 -> [88] p1(skolem_X128128)
% 9.76/3.95
% 9.76/3.95 [88] CLOSURE : p1(skolem_X128128)
% 9.76/3.95
% 9.76/3.95 [84] BETA_NOT_AND : ~(((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))) & ! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124))))))
% 9.76/3.95 -> [89] ~((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120)))))
% 9.76/3.95 -> [90] ~! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))
% 9.76/3.95
% 9.76/3.95 [90] DELTA_NOT_FORALL : ~! [A123_123, B124_124] : (? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(A123_123) => r1(B124_124)))))
% 9.76/3.95 -> [91] ~? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(skolem_A123123) => r1(skolem_B124124))))
% 9.76/3.95
% 9.76/3.95 [91] GAMMA_NOT_EXISTS : ~? [X125_125, Y126_126] : (((p1(X125_125) => r1(Y126_126)) => (p1(skolem_A123123) => r1(skolem_B124124))))
% 9.76/3.95 -> [92] ~((p1(skolem_A123123) => r1(skolem_B124124)) => (p1(skolem_A123123) => r1(skolem_B124124)))
% 9.76/3.95
% 9.76/3.95 [92] ALPHA_NOT_IMPLY : ~((p1(skolem_A123123) => r1(skolem_B124124)) => (p1(skolem_A123123) => r1(skolem_B124124)))
% 9.76/3.95 -> [93] (p1(skolem_A123123) => r1(skolem_B124124)), ~(p1(skolem_A123123) => r1(skolem_B124124))
% 9.76/3.95
% 9.76/3.95 [93] ALPHA_NOT_IMPLY : ~(p1(skolem_A123123) => r1(skolem_B124124))
% 9.76/3.95 -> [94] p1(skolem_A123123), ~r1(skolem_B124124)
% 9.76/3.95
% 9.76/3.95 [94] BETA_IMPLY : (p1(skolem_A123123) => r1(skolem_B124124))
% 9.76/3.95 -> [95] ~p1(skolem_A123123)
% 9.76/3.95 -> [96] r1(skolem_B124124)
% 9.76/3.95
% 9.76/3.95 [95] CLOSURE : ~p1(skolem_A123123)
% 9.76/3.95
% 9.76/3.95 [96] CLOSURE : r1(skolem_B124124)
% 9.76/3.95
% 9.76/3.95 [89] BETA_NOT_AND : ~((((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))) & ! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120)))))
% 9.76/3.95 -> [97] ~(((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119)))))
% 9.76/3.95 -> [98] ~! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))
% 9.76/3.95
% 9.76/3.95 [98] DELTA_NOT_FORALL : ~! [B120_120] : (((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(B120_120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(B120_120))))
% 9.76/3.95 -> [99] ~((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(skolem_B120120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(skolem_B120120)))
% 9.76/3.95
% 9.76/3.95 [99] ALPHA_NOT_IMPLY : ~((! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(skolem_B120120)) => (! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(skolem_B120120)))
% 9.76/3.95 -> [100] (! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(skolem_B120120)), ~(! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(skolem_B120120))
% 9.76/3.95
% 9.76/3.95 [100] ALPHA_AND : (! [X121_121] : ((p1(X121_121) => q1(X121_121))) & r1(skolem_B120120))
% 9.76/3.95 -> [101] ! [X121_121] : ((p1(X121_121) => q1(X121_121))), r1(skolem_B120120)
% 9.76/3.95
% 9.76/3.95 [101] ALPHA_NOT_IMPLY : ~(! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))) => q1(skolem_B120120))
% 9.76/3.95 -> [102] ! [Y122_122] : ((r1(Y122_122) => p1(Y122_122))), ~q1(skolem_B120120)
% 9.76/3.95
% 9.76/3.95 [102] GAMMA_FORALL : ! [X121_121] : ((p1(X121_121) => q1(X121_121)))
% 9.76/3.95 -> [103] (p1(skolem_B120120) => q1(skolem_B120120))
% 9.76/3.95
% 9.76/3.95 [103] BETA_IMPLY : (p1(skolem_B120120) => q1(skolem_B120120))
% 9.76/3.95 -> [104] ~p1(skolem_B120120)
% 9.76/3.95 -> [105] q1(skolem_B120120)
% 9.76/3.95
% 9.76/3.95 [105] CLOSURE : q1(skolem_B120120)
% 9.76/3.95
% 9.76/3.95 [104] GAMMA_FORALL : ! [Y122_122] : ((r1(Y122_122) => p1(Y122_122)))
% 9.76/3.95 -> [106] (r1(skolem_B120120) => p1(skolem_B120120))
% 9.76/3.95
% 9.76/3.95 [106] BETA_IMPLY : (r1(skolem_B120120) => p1(skolem_B120120))
% 9.76/3.95 -> [107] ~r1(skolem_B120120)
% 9.76/3.95 -> [108] p1(skolem_B120120)
% 9.76/3.95
% 9.76/3.95 [107] CLOSURE : ~r1(skolem_B120120)
% 9.76/3.95
% 9.76/3.95 [108] CLOSURE : p1(skolem_B120120)
% 9.76/3.95
% 9.76/3.95 [97] BETA_NOT_AND : ~(((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))) & ? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119)))))
% 9.76/3.95 -> [109] ~((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115)))))))
% 9.76/3.95 -> [110] ~? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))
% 9.76/3.95
% 9.76/3.95 [110] GAMMA_NOT_EXISTS : ~? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))
% 9.76/3.95 -> [111] ~! [Y119_119] : ((p1(X118_0_0) => p1(Y119_119)))
% 9.76/3.95
% 9.76/3.95 [111] DELTA_NOT_FORALL : ~! [Y119_119] : ((p1(X118_0_0) => p1(Y119_119)))
% 9.76/3.95 -> [112] ~(p1(X118_0_0) => p1(skolem_Y119119(X118_0_0)))
% 9.76/3.95
% 9.76/3.95 [112] ALPHA_NOT_IMPLY : ~(p1(X118_0_0) => p1(skolem_Y119119(X118_0_0)))
% 9.76/3.95 -> [113] p1(X118_0_0), ~p1(skolem_Y119119(X118_0_0))
% 9.76/3.95
% 9.76/3.95 [113] ALPHA_NOT_IMPLY : ~? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))
% 9.76/3.95 -> [114] ~? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))
% 9.76/3.95
% 9.76/3.95 [114] GAMMA_NOT_EXISTS : ~? [X118_118] : (! [Y119_119] : ((p1(X118_118) => p1(Y119_119))))
% 9.76/3.95 -> [115] ~! [Y119_119] : ((p1(X118_1_0) => p1(Y119_119)))
% 9.76/3.95
% 9.76/3.95 [115] DELTA_NOT_FORALL : ~! [Y119_119] : ((p1(X118_1_0) => p1(Y119_119)))
% 9.76/3.95 -> [116] ~(p1(X118_1_0) => p1(skolem_Y119119(X118_1_0)))
% 9.76/3.95
% 9.76/3.95 [116] ALPHA_NOT_IMPLY : ~(p1(X118_1_0) => p1(skolem_Y119119(X118_1_0)))
% 9.76/3.95 -> [117] p1(X118_1_0), ~p1(skolem_Y119119(X118_1_0))
% 9.76/3.95
% 9.76/3.95 [117] CLOSURE : p1(X118_1_0)
% 9.76/3.95
% 9.76/3.95 [109] BETA_NOT_AND : ~((((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))) & ! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115)))))))
% 9.76/3.95 -> [118] ~(((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112)))))
% 9.76/3.95 -> [119] ~! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))
% 9.76/3.95
% 9.76/3.95 [119] DELTA_NOT_FORALL : ~! [A114_114, B115_115] : ((! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(A114_114)) & (q1(X117_117) => p1(B115_115))))))
% 9.76/3.95 -> [120] ~(! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(skolem_A114114)) & (q1(X117_117) => p1(skolem_B115115)))))
% 9.76/3.95
% 9.76/3.95 [120] ALPHA_NOT_IMPLY : ~(! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))) => ? [X117_117] : (((p1(X117_117) => p1(skolem_A114114)) & (q1(X117_117) => p1(skolem_B115115)))))
% 9.76/3.95 -> [121] ! [Y116_116] : ((q1(Y116_116) => p1(Y116_116))), ~? [X117_117] : (((p1(X117_117) => p1(skolem_A114114)) & (q1(X117_117) => p1(skolem_B115115))))
% 9.76/3.95
% 9.76/3.95 [121] GAMMA_FORALL : ! [Y116_116] : ((q1(Y116_116) => p1(Y116_116)))
% 9.76/3.95 -> [122] (q1(skolem_B115115) => p1(skolem_B115115))
% 9.76/3.95
% 9.76/3.95 [122] BETA_IMPLY : (q1(skolem_B115115) => p1(skolem_B115115))
% 9.76/3.95 -> [123] ~q1(skolem_B115115)
% 9.76/3.95 -> [124] p1(skolem_B115115)
% 9.76/3.95
% 9.76/3.95 [124] GAMMA_NOT_EXISTS : ~? [X117_117] : (((p1(X117_117) => p1(skolem_A114114)) & (q1(X117_117) => p1(skolem_B115115))))
% 9.76/3.95 -> [126] ~((p1(skolem_A114114) => p1(skolem_A114114)) & (q1(skolem_A114114) => p1(skolem_B115115)))
% 9.76/3.95
% 9.76/3.95 [126] BETA_NOT_AND : ~((p1(skolem_A114114) => p1(skolem_A114114)) & (q1(skolem_A114114) => p1(skolem_B115115)))
% 9.76/3.95 -> [127] ~(p1(skolem_A114114) => p1(skolem_A114114))
% 9.76/3.95 -> [128] ~(q1(skolem_A114114) => p1(skolem_B115115))
% 9.76/3.95
% 9.76/3.95 [127] ALPHA_NOT_IMPLY : ~(p1(skolem_A114114) => p1(skolem_A114114))
% 9.76/3.95 -> [131] p1(skolem_A114114), ~p1(skolem_A114114)
% 9.76/3.95
% 9.76/3.95 [131] CLOSURE : ~p1(skolem_A114114)
% 9.76/3.95
% 9.76/3.95 [132] CLOSURE : ~p1(skolem_B115115)
% 9.76/3.95
% 9.76/3.95 [125] BETA_NOT_AND : ~((p1(skolem_A114114) => p1(skolem_A114114)) & (q1(skolem_A114114) => p1(skolem_B115115)))
% 9.76/3.95 -> [135] ~(p1(skolem_A114114) => p1(skolem_A114114))
% 9.76/3.95 -> [136] ~(q1(skolem_A114114) => p1(skolem_B115115))
% 9.76/3.95
% 9.76/3.95 [135] ALPHA_NOT_IMPLY : ~(p1(skolem_A114114) => p1(skolem_A114114))
% 9.76/3.95 -> [138] p1(skolem_A114114), ~p1(skolem_A114114)
% 9.76/3.95
% 9.76/3.95 [138] CLOSURE : ~p1(skolem_A114114)
% 9.76/3.95
% 9.76/3.95 [137] : ! [Y116_116] : ((q1(Y116_116) => p1(Y116_116)))
% 9.76/3.95 -> [139] ! [Y116_116] : ((q1(Y116_116) => p1(Y116_116)))
% 9.76/3.95
% 9.76/3.95 [139] GAMMA_FORALL : ! [Y116_116] : ((q1(Y116_116) => p1(Y116_116)))
% 9.76/3.95 -> [140] (q1(skolem_A114114) => p1(skolem_A114114))
% 9.76/3.95
% 9.76/3.95 [140] BETA_IMPLY : (q1(skolem_A114114) => p1(skolem_A114114))
% 9.76/3.95 -> [141] ~q1(skolem_A114114)
% 9.76/3.95 -> [142] p1(skolem_A114114)
% 9.76/3.95
% 9.76/3.95 [141] CLOSURE : ~q1(skolem_A114114)
% 9.76/3.95
% 9.76/3.95 [142] : ~? [X117_117] : (((p1(X117_117) => p1(skolem_A114114)) & (q1(X117_117) => p1(skolem_B115115))))
% 9.76/3.95 -> [143] ~? [X117_117] : (((p1(X117_117) => p1(skolem_A114114)) & (q1(X117_117) => p1(skolem_B115115))))
% 9.76/3.95
% 9.76/3.95 [143] GAMMA_NOT_EXISTS : ~? [X117_117] : (((p1(X117_117) => p1(skolem_A114114)) & (q1(X117_117) => p1(skolem_B115115))))
% 9.76/3.95 -> [144] ~((p1(skolem_B115115) => p1(skolem_A114114)) & (q1(skolem_B115115) => p1(skolem_B115115)))
% 9.76/3.95
% 9.76/3.95 [144] BETA_NOT_AND : ~((p1(skolem_B115115) => p1(skolem_A114114)) & (q1(skolem_B115115) => p1(skolem_B115115)))
% 9.76/3.95 -> [145] ~(p1(skolem_B115115) => p1(skolem_A114114))
% 9.76/3.95 -> [146] ~(q1(skolem_B115115) => p1(skolem_B115115))
% 9.76/3.95
% 9.76/3.95 [146] ALPHA_NOT_IMPLY : ~(q1(skolem_B115115) => p1(skolem_B115115))
% 9.76/3.95 -> [148] q1(skolem_B115115), ~p1(skolem_B115115)
% 9.76/3.95
% 9.76/3.95 [148] CLOSURE : q1(skolem_B115115)
% 9.76/3.95
% 9.76/3.95 [145] ALPHA_NOT_IMPLY : ~(p1(skolem_B115115) => p1(skolem_A114114))
% 9.76/3.95 -> [147] p1(skolem_B115115), ~p1(skolem_A114114)
% 9.76/3.95
% 9.76/3.95 [147] CLOSURE : ~p1(skolem_A114114)
% 9.76/3.95
% 9.76/3.95 [118] BETA_NOT_AND : ~(((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))) & (! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112)))))
% 9.76/3.95 -> [149] ~((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106)))))))
% 9.76/3.95 -> [150] ~(! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))
% 9.76/3.95
% 9.76/3.95 [150] ALPHA_NOT_IMPLY : ~(! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))) => ! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112))))
% 9.76/3.95 -> [151] ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110))))), ~! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112)))
% 9.76/3.95
% 9.76/3.95 [151] DELTA_NOT_FORALL : ~! [A112_112, B113_113] : ((eq(A112_112, B113_113) => eq(B113_113, A112_112)))
% 9.76/3.95 -> [152] ~(eq(skolem_A112112, skolem_B113113) => eq(skolem_B113113, skolem_A112112))
% 9.76/3.95
% 9.76/3.95 [152] ALPHA_NOT_IMPLY : ~(eq(skolem_A112112, skolem_B113113) => eq(skolem_B113113, skolem_A112112))
% 9.76/3.95 -> [153] eq(skolem_A112112, skolem_B113113), ~eq(skolem_B113113, skolem_A112112)
% 9.76/3.95
% 9.76/3.95 [153] GAMMA_FORALL : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [154] (eq(skolem_B113113, skolem_A112112) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112))))
% 9.76/3.95
% 9.76/3.95 [154] BETA_EQUIV : (eq(skolem_B113113, skolem_A112112) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112))))
% 9.76/3.95 -> [155] ~eq(skolem_B113113, skolem_A112112), ~! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112)))
% 9.76/3.95 -> [156] eq(skolem_B113113, skolem_A112112), ! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112)))
% 9.76/3.95
% 9.76/3.95 [156] CLOSURE : eq(skolem_B113113, skolem_A112112)
% 9.76/3.95
% 9.76/3.95 [157] BETA_NOT_EQUIV : ~(a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112))
% 9.76/3.95 -> [158] ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113), a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112)
% 9.76/3.95 -> [159] a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113), ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112)
% 9.76/3.95
% 9.76/3.95 [158] : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [161] ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95
% 9.76/3.95 [161] GAMMA_FORALL : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [162] (eq(skolem_B113113, skolem_A112112) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112))))
% 9.76/3.95
% 9.76/3.95 [162] BETA_EQUIV : (eq(skolem_B113113, skolem_A112112) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112))))
% 9.76/3.95 -> [164] ~eq(skolem_B113113, skolem_A112112), ~! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112)))
% 9.76/3.95 -> [165] eq(skolem_B113113, skolem_A112112), ! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112)))
% 9.76/3.95
% 9.76/3.95 [165] CLOSURE : eq(skolem_B113113, skolem_A112112)
% 9.76/3.95
% 9.76/3.95 [168] BETA_NOT_EQUIV : ~(a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112))
% 9.76/3.95 -> [170] ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113), a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112)
% 9.76/3.95 -> [171] a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113), ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112)
% 9.76/3.95
% 9.76/3.95 [170] : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [175] ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95
% 9.76/3.95 [175] GAMMA_FORALL : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [179] (eq(skolem_A112112, skolem_B113113) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113))))
% 9.76/3.95
% 9.76/3.95 [179] BETA_EQUIV : (eq(skolem_A112112, skolem_B113113) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113))))
% 9.76/3.95 -> [183] ~eq(skolem_A112112, skolem_B113113), ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [184] eq(skolem_A112112, skolem_B113113), ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95
% 9.76/3.95 [183] DELTA_NOT_FORALL : ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [192] ~(a_member_of(skolem_Z111111(skolem_A112112, skolem_B113113), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_A112112, skolem_B113113), skolem_B113113))
% 9.76/3.95
% 9.76/3.95 [192] CLOSURE : ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95
% 9.76/3.95 [184] GAMMA_FORALL : ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [199] (a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113))
% 9.76/3.95
% 9.76/3.95 [199] BETA_EQUIV : (a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113))
% 9.76/3.95 -> [200] ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112), ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95 -> [201] a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112), a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [200] CLOSURE : ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112)
% 9.76/3.95
% 9.76/3.95 [201] CLOSURE : a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [171] : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [174] ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95
% 9.76/3.95 [174] GAMMA_FORALL : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [177] (eq(skolem_A112112, skolem_B113113) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113))))
% 9.76/3.95
% 9.76/3.95 [177] BETA_EQUIV : (eq(skolem_A112112, skolem_B113113) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113))))
% 9.76/3.95 -> [181] ~eq(skolem_A112112, skolem_B113113), ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [182] eq(skolem_A112112, skolem_B113113), ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95
% 9.76/3.95 [181] DELTA_NOT_FORALL : ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [190] ~(a_member_of(skolem_Z111111(skolem_A112112, skolem_B113113), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_A112112, skolem_B113113), skolem_B113113))
% 9.76/3.95
% 9.76/3.95 [190] CLOSURE : ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95
% 9.76/3.95 [182] GAMMA_FORALL : ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [202] (a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113))
% 9.76/3.95
% 9.76/3.95 [202] BETA_EQUIV : (a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113))
% 9.76/3.95 -> [203] ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112), ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95 -> [204] a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112), a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [203] CLOSURE : ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [204] CLOSURE : a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [159] : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [160] ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95
% 9.76/3.95 [160] GAMMA_FORALL : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [163] (eq(skolem_B113113, skolem_A112112) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112))))
% 9.76/3.95
% 9.76/3.95 [163] BETA_EQUIV : (eq(skolem_B113113, skolem_A112112) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112))))
% 9.76/3.95 -> [166] ~eq(skolem_B113113, skolem_A112112), ~! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112)))
% 9.76/3.95 -> [167] eq(skolem_B113113, skolem_A112112), ! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112)))
% 9.76/3.95
% 9.76/3.95 [167] CLOSURE : eq(skolem_B113113, skolem_A112112)
% 9.76/3.95
% 9.76/3.95 [169] BETA_NOT_EQUIV : ~(a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112))
% 9.76/3.95 -> [172] ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113), a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112)
% 9.76/3.95 -> [173] a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113), ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112)
% 9.76/3.95
% 9.76/3.95 [172] : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [176] ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95
% 9.76/3.95 [176] GAMMA_FORALL : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [180] (eq(skolem_A112112, skolem_B113113) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113))))
% 9.76/3.95
% 9.76/3.95 [180] BETA_EQUIV : (eq(skolem_A112112, skolem_B113113) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113))))
% 9.76/3.95 -> [186] ~eq(skolem_A112112, skolem_B113113), ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [187] eq(skolem_A112112, skolem_B113113), ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95
% 9.76/3.95 [186] DELTA_NOT_FORALL : ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [191] ~(a_member_of(skolem_Z111111(skolem_A112112, skolem_B113113), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_A112112, skolem_B113113), skolem_B113113))
% 9.76/3.95
% 9.76/3.95 [191] CLOSURE : ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95
% 9.76/3.95 [187] GAMMA_FORALL : ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [196] (a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113))
% 9.76/3.95
% 9.76/3.95 [196] BETA_EQUIV : (a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113))
% 9.76/3.95 -> [197] ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112), ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95 -> [198] a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112), a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [197] CLOSURE : ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [198] CLOSURE : a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [173] : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [178] ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95
% 9.76/3.95 [178] GAMMA_FORALL : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [185] (eq(skolem_B113113, skolem_A112112) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112))))
% 9.76/3.95
% 9.76/3.95 [185] BETA_EQUIV : (eq(skolem_B113113, skolem_A112112) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112))))
% 9.76/3.95 -> [188] ~eq(skolem_B113113, skolem_A112112), ~! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112)))
% 9.76/3.95 -> [189] eq(skolem_B113113, skolem_A112112), ! [Z111_111] : ((a_member_of(Z111_111, skolem_B113113) <=> a_member_of(Z111_111, skolem_A112112)))
% 9.76/3.95
% 9.76/3.95 [189] CLOSURE : eq(skolem_B113113, skolem_A112112)
% 9.76/3.95
% 9.76/3.95 [193] BETA_NOT_EQUIV : ~(a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112))
% 9.76/3.95 -> [194] ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113), a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112)
% 9.76/3.95 -> [195] a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113), ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112)
% 9.76/3.95
% 9.76/3.95 [195] : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [207] ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95
% 9.76/3.95 [207] GAMMA_FORALL : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [208] (eq(skolem_A112112, skolem_B113113) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113))))
% 9.76/3.95
% 9.76/3.95 [208] BETA_EQUIV : (eq(skolem_A112112, skolem_B113113) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113))))
% 9.76/3.95 -> [211] ~eq(skolem_A112112, skolem_B113113), ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [212] eq(skolem_A112112, skolem_B113113), ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95
% 9.76/3.95 [211] DELTA_NOT_FORALL : ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [218] ~(a_member_of(skolem_Z111111(skolem_A112112, skolem_B113113), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_A112112, skolem_B113113), skolem_B113113))
% 9.76/3.95
% 9.76/3.95 [218] CLOSURE : ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95
% 9.76/3.95 [212] GAMMA_FORALL : ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [236] (a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113))
% 9.76/3.95
% 9.76/3.95 [236] BETA_EQUIV : (a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113))
% 9.76/3.95 -> [238] ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112), ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95 -> [239] a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112), a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [238] CLOSURE : ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [239] CLOSURE : a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112)
% 9.76/3.95
% 9.76/3.95 [194] : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [205] ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95
% 9.76/3.95 [205] GAMMA_FORALL : ! [X109_109, Y110_110] : ((eq(X109_109, Y110_110) <=> ! [Z111_111] : ((a_member_of(Z111_111, X109_109) <=> a_member_of(Z111_111, Y110_110)))))
% 9.76/3.95 -> [206] (eq(skolem_A112112, skolem_B113113) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113))))
% 9.76/3.95
% 9.76/3.95 [206] BETA_EQUIV : (eq(skolem_A112112, skolem_B113113) <=> ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113))))
% 9.76/3.95 -> [209] ~eq(skolem_A112112, skolem_B113113), ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [210] eq(skolem_A112112, skolem_B113113), ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95
% 9.76/3.95 [209] DELTA_NOT_FORALL : ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [217] ~(a_member_of(skolem_Z111111(skolem_A112112, skolem_B113113), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_A112112, skolem_B113113), skolem_B113113))
% 9.76/3.95
% 9.76/3.95 [217] CLOSURE : ~! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95
% 9.76/3.95 [210] GAMMA_FORALL : ! [Z111_111] : ((a_member_of(Z111_111, skolem_A112112) <=> a_member_of(Z111_111, skolem_B113113)))
% 9.76/3.95 -> [237] (a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113))
% 9.76/3.95
% 9.76/3.95 [237] BETA_EQUIV : (a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112) <=> a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113))
% 9.76/3.95 -> [240] ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112), ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95 -> [241] a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_A112112), a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [240] CLOSURE : ~a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [241] CLOSURE : a_member_of(skolem_Z111111(skolem_B113113, skolem_A112112), skolem_B113113)
% 9.76/3.95
% 9.76/3.95 [149] BETA_NOT_AND : ~((((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))) & ? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106)))))))
% 9.76/3.95 -> [213] ~(((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104))))
% 9.76/3.95 -> [214] ~? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))
% 9.76/3.95
% 9.76/3.95 [214] GAMMA_NOT_EXISTS : ~? [Z105_105] : (! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_105, Y107_107) & p(Y107_107, Z105_105)) => p(Y107_107, X106_106))))))
% 9.76/3.95 -> [215] ~! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_0_0, Y107_107) & p(Y107_107, Z105_0_0)) => p(Y107_107, X106_106)))))
% 9.76/3.95
% 9.76/3.95 [215] DELTA_NOT_FORALL : ~! [X106_106] : (? [Y107_107] : (((p(Y107_107, X106_106) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_0_0, Y107_107) & p(Y107_107, Z105_0_0)) => p(Y107_107, X106_106)))))
% 9.76/3.95 -> [216] ~? [Y107_107] : (((p(Y107_107, skolem_X106106(Z105_0_0)) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_0_0, Y107_107) & p(Y107_107, Z105_0_0)) => p(Y107_107, skolem_X106106(Z105_0_0)))))
% 9.76/3.95
% 9.76/3.95 [216] GAMMA_NOT_EXISTS : ~? [Y107_107] : (((p(Y107_107, skolem_X106106(Z105_0_0)) => ? [W108_108] : (p(W108_108, Y107_107))) & ((p(Z105_0_0, Y107_107) & p(Y107_107, Z105_0_0)) => p(Y107_107, skolem_X106106(Z105_0_0)))))
% 9.76/3.95 -> [219] ~((p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0)) => ? [W108_108] : (p(W108_108, skolem_X106106(Z105_0_0)))) & ((p(Z105_0_0, skolem_X106106(Z105_0_0)) & p(skolem_X106106(Z105_0_0), Z105_0_0)) => p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0))))
% 9.76/3.95
% 9.76/3.95 [219] BETA_NOT_AND : ~((p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0)) => ? [W108_108] : (p(W108_108, skolem_X106106(Z105_0_0)))) & ((p(Z105_0_0, skolem_X106106(Z105_0_0)) & p(skolem_X106106(Z105_0_0), Z105_0_0)) => p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0))))
% 9.76/3.95 -> [220] ~(p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0)) => ? [W108_108] : (p(W108_108, skolem_X106106(Z105_0_0))))
% 9.76/3.95 -> [221] ~((p(Z105_0_0, skolem_X106106(Z105_0_0)) & p(skolem_X106106(Z105_0_0), Z105_0_0)) => p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0)))
% 9.76/3.95
% 9.76/3.95 [220] ALPHA_NOT_IMPLY : ~(p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0)) => ? [W108_108] : (p(W108_108, skolem_X106106(Z105_0_0))))
% 9.76/3.95 -> [222] p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0)), ~? [W108_108] : (p(W108_108, skolem_X106106(Z105_0_0)))
% 9.76/3.95
% 9.76/3.95 [222] GAMMA_NOT_EXISTS : ~? [W108_108] : (p(W108_108, skolem_X106106(Z105_0_0)))
% 9.76/3.95 -> [224] ~p(W108_0_2, skolem_X106106(Z105_0_0))
% 9.76/3.95
% 9.76/3.95 [224] CLOSURE : ~p(W108_0_2, skolem_X106106(Z105_0_0))
% 9.76/3.95
% 9.76/3.95 [229] BETA_NOT_AND : ~((p(skolem_X106106(Z105_0_0), skolem_X106106(skolem_X106106(Z105_0_0))) => ? [W108_108] : (p(W108_108, skolem_X106106(Z105_0_0)))) & ((p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0)) & p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0))) => p(skolem_X106106(Z105_0_0), skolem_X106106(skolem_X106106(Z105_0_0)))))
% 9.76/3.95 -> [242] ~(p(skolem_X106106(Z105_0_0), skolem_X106106(skolem_X106106(Z105_0_0))) => ? [W108_108] : (p(W108_108, skolem_X106106(Z105_0_0))))
% 9.76/3.95 -> [243] ~((p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0)) & p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0))) => p(skolem_X106106(Z105_0_0), skolem_X106106(skolem_X106106(Z105_0_0))))
% 9.76/3.95
% 9.76/3.95 [243] ALPHA_NOT_IMPLY : ~((p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0)) & p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0))) => p(skolem_X106106(Z105_0_0), skolem_X106106(skolem_X106106(Z105_0_0))))
% 9.76/3.95 -> [245] (p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0)) & p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0))), ~p(skolem_X106106(Z105_0_0), skolem_X106106(skolem_X106106(Z105_0_0)))
% 9.76/3.95
% 9.76/3.95 [245] ALPHA_AND : (p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0)) & p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0)))
% 9.76/3.95 -> [247] p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0))
% 9.76/3.95
% 9.76/3.95 [247] CLOSURE : p(skolem_X106106(Z105_0_0), skolem_X106106(Z105_0_0))
% 9.76/3.95
% 9.76/3.95 [246] CLOSURE : ~p(Z105_0_0, skolem_X106106(Z105_0_0))
% 9.76/3.95
% 9.76/3.95 [213] BETA_NOT_AND : ~(((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))) & (? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104))))
% 9.76/3.95 -> [248] ~((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102))))
% 9.76/3.95 -> [249] ~(? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))
% 9.76/3.95
% 9.76/3.95 [249] ALPHA_NOT_IMPLY : ~(? [X103_103] : (p1(X103_103)) => ? [Z104_104] : (p1(Z104_104)))
% 9.76/3.95 -> [250] ? [X103_103] : (p1(X103_103)), ~? [Z104_104] : (p1(Z104_104))
% 9.76/3.95
% 9.76/3.95 [250] DELTA_EXISTS : ? [X103_103] : (p1(X103_103))
% 9.76/3.95 -> [251] p1(skolem_X103103)
% 9.76/3.95
% 9.76/3.95 [251] GAMMA_NOT_EXISTS : ~? [Z104_104] : (p1(Z104_104))
% 9.76/3.95 -> [252] ~p1(Z104_0_0)
% 9.76/3.95
% 9.76/3.95 [252] CLOSURE : ~p1(Z104_0_0)
% 9.76/3.95
% 9.76/3.95 [248] BETA_NOT_AND : ~((((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))) & (? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102))))
% 9.76/3.95 -> [253] ~(((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100)))))
% 9.76/3.95 -> [254] ~(? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))
% 9.76/3.95
% 9.76/3.95 [254] BETA_NOT_EQUIV : ~(? [X101_101] : (p1(X101_101)) <=> ? [Y102_102] : (p1(Y102_102)))
% 9.76/3.95 -> [255] ~? [X101_101] : (p1(X101_101)), ? [Y102_102] : (p1(Y102_102))
% 9.76/3.95 -> [256] ? [X101_101] : (p1(X101_101)), ~? [Y102_102] : (p1(Y102_102))
% 9.76/3.95
% 9.76/3.95 [256] DELTA_EXISTS : ? [X101_101] : (p1(X101_101))
% 9.76/3.95 -> [257] p1(skolem_X101101)
% 9.76/3.95
% 9.76/3.95 [257] GAMMA_NOT_EXISTS : ~? [Y102_102] : (p1(Y102_102))
% 9.76/3.95 -> [259] ~p1(Y102_0_0)
% 9.76/3.95
% 9.76/3.95 [259] CLOSURE : ~p1(Y102_0_0)
% 9.76/3.95
% 9.76/3.95 [255] DELTA_EXISTS : ? [Y102_102] : (p1(Y102_102))
% 9.76/3.95 -> [258] p1(skolem_Y102102)
% 9.76/3.95
% 9.76/3.95 [258] GAMMA_NOT_EXISTS : ~? [X101_101] : (p1(X101_101))
% 9.76/3.95 -> [260] ~p1(X101_0_0)
% 9.76/3.95
% 9.76/3.95 [260] CLOSURE : ~p1(X101_0_0)
% 9.76/3.95
% 9.76/3.95 [253] BETA_NOT_AND : ~(((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))) & (! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100)))))
% 9.76/3.95 -> [261] ~((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96)))))
% 9.76/3.95 -> [262] ~(! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))
% 9.76/3.95
% 9.76/3.95 [262] ALPHA_NOT_IMPLY : ~(! [X98_98] : (p1(X98_98)) => (! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100))))
% 9.76/3.95 -> [263] ! [X98_98] : (p1(X98_98)), ~(! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100)))
% 9.76/3.95
% 9.76/3.95 [263] BETA_NOT_AND : ~(! [X99_99] : (p1(X99_99)) & ! [Y100_100] : (p1(Y100_100)))
% 9.76/3.95 -> [264] ~! [X99_99] : (p1(X99_99))
% 9.76/3.95 -> [265] ~! [Y100_100] : (p1(Y100_100))
% 9.76/3.95
% 9.76/3.95 [265] DELTA_NOT_FORALL : ~! [Y100_100] : (p1(Y100_100))
% 9.76/3.95 -> [266] ~p1(skolem_Y100100)
% 9.76/3.95
% 9.76/3.95 [266] GAMMA_FORALL : ! [X98_98] : (p1(X98_98))
% 9.76/3.95 -> [268] p1(X98_0_0)
% 9.76/3.95
% 9.76/3.95 [268] CLOSURE : p1(X98_0_0)
% 9.76/3.95
% 9.76/3.95 [264] DELTA_NOT_FORALL : ~! [X99_99] : (p1(X99_99))
% 9.76/3.95 -> [267] ~p1(skolem_X9999)
% 9.76/3.95
% 9.76/3.95 [267] GAMMA_FORALL : ! [X98_98] : (p1(X98_98))
% 9.76/3.95 -> [269] p1(X98_1_0)
% 9.76/3.95
% 9.76/3.95 [269] CLOSURE : p1(X98_1_0)
% 9.76/3.95
% 9.76/3.95 [261] BETA_NOT_AND : ~((((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))) & ! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96)))))
% 9.76/3.95 -> [270] ~(((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93))))
% 9.76/3.95 -> [271] ~! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))
% 9.76/3.95
% 9.76/3.95 [271] DELTA_NOT_FORALL : ~! [A95_95, B96_96] : ((! [X97_97] : (p1(X97_97)) => (p1(A95_95) & p1(B96_96))))
% 9.76/3.95 -> [272] ~(! [X97_97] : (p1(X97_97)) => (p1(skolem_A9595) & p1(skolem_B9696)))
% 9.76/3.95
% 9.76/3.95 [272] ALPHA_NOT_IMPLY : ~(! [X97_97] : (p1(X97_97)) => (p1(skolem_A9595) & p1(skolem_B9696)))
% 9.76/3.95 -> [273] ! [X97_97] : (p1(X97_97)), ~(p1(skolem_A9595) & p1(skolem_B9696))
% 9.76/3.95
% 9.76/3.95 [273] BETA_NOT_AND : ~(p1(skolem_A9595) & p1(skolem_B9696))
% 9.76/3.95 -> [274] ~p1(skolem_A9595)
% 9.76/3.95 -> [275] ~p1(skolem_B9696)
% 9.76/3.95
% 9.76/3.95 [275] GAMMA_FORALL : ! [X97_97] : (p1(X97_97))
% 9.76/3.95 -> [276] p1(X97_0_0)
% 9.76/3.95
% 9.76/3.95 [276] CLOSURE : p1(X97_0_0)
% 9.76/3.95
% 9.76/3.95 [274] GAMMA_FORALL : ! [X97_97] : (p1(X97_97))
% 9.76/3.95 -> [277] p1(X97_1_0)
% 9.76/3.95
% 9.76/3.95 [277] CLOSURE : p1(X97_1_0)
% 9.76/3.95
% 9.76/3.95 [270] BETA_NOT_AND : ~(((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))) & (? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93))))
% 9.76/3.95 -> [278] ~((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90)))))
% 9.76/3.95 -> [279] ~(? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))
% 9.76/3.95
% 9.76/3.95 [279] BETA_NOT_EQUIV : ~(? [X91_91, Y92_92] : (a(X91_91, Y92_92)) <=> ? [Y93_93, X94_94] : (a(X94_94, Y93_93)))
% 9.76/3.95 -> [280] ~? [X91_91, Y92_92] : (a(X91_91, Y92_92)), ? [Y93_93, X94_94] : (a(X94_94, Y93_93))
% 9.76/3.95 -> [281] ? [X91_91, Y92_92] : (a(X91_91, Y92_92)), ~? [Y93_93, X94_94] : (a(X94_94, Y93_93))
% 9.76/3.95
% 9.76/3.95 [281] DELTA_EXISTS : ? [X91_91, Y92_92] : (a(X91_91, Y92_92))
% 9.76/3.95 -> [282] a(skolem_X9191, skolem_Y9292)
% 9.76/3.95
% 9.76/3.95 [282] GAMMA_NOT_EXISTS : ~? [Y93_93, X94_94] : (a(X94_94, Y93_93))
% 9.76/3.95 -> [284] ~a(X94_0_0, Y93_0_0)
% 9.76/3.95
% 9.76/3.95 [284] CLOSURE : ~a(X94_0_0, Y93_0_0)
% 9.76/3.95
% 9.76/3.95 [280] DELTA_EXISTS : ? [Y93_93, X94_94] : (a(X94_94, Y93_93))
% 9.76/3.95 -> [283] a(skolem_X9494, skolem_Y9393)
% 9.76/3.95
% 9.76/3.95 [283] GAMMA_NOT_EXISTS : ~? [X91_91, Y92_92] : (a(X91_91, Y92_92))
% 9.76/3.95 -> [285] ~a(X91_0_0, Y92_0_0)
% 9.76/3.95
% 9.76/3.95 [285] CLOSURE : ~a(X91_0_0, Y92_0_0)
% 9.76/3.95
% 9.76/3.95 [278] BETA_NOT_AND : ~((((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))) & (? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90)))))
% 9.76/3.95 -> [286] ~(((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88)))))
% 9.76/3.95 -> [287] ~(? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))
% 9.76/3.95
% 9.76/3.95 [287] ALPHA_NOT_IMPLY : ~(? [X89_89] : (b(X89_89)) => ? [X90_90] : ((a1(X90_90) | b(X90_90))))
% 9.76/3.95 -> [288] ? [X89_89] : (b(X89_89)), ~? [X90_90] : ((a1(X90_90) | b(X90_90)))
% 9.76/3.95
% 9.76/3.95 [288] DELTA_EXISTS : ? [X89_89] : (b(X89_89))
% 9.76/3.95 -> [289] b(skolem_X8989)
% 9.76/3.95
% 9.76/3.95 [289] GAMMA_NOT_EXISTS : ~? [X90_90] : ((a1(X90_90) | b(X90_90)))
% 9.76/3.95 -> [290] ~(a1(X90_0_0) | b(X90_0_0))
% 9.76/3.95
% 9.76/3.95 [290] ALPHA_NOT_OR : ~(a1(X90_0_0) | b(X90_0_0))
% 9.76/3.95 -> [291] ~a1(X90_0_0), ~b(X90_0_0)
% 9.76/3.95
% 9.76/3.95 [291] CLOSURE : ~b(X90_0_0)
% 9.76/3.95
% 9.76/3.95 [286] BETA_NOT_AND : ~(((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))) & ((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88)))))
% 9.76/3.95 -> [292] ~((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85)))))
% 9.76/3.95 -> [293] ~((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))
% 9.76/3.95
% 9.76/3.95 [293] ALPHA_NOT_IMPLY : ~((? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))) => ? [X88_88] : ((a1(X88_88) & b(X88_88))))
% 9.76/3.95 -> [294] (? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87))), ~? [X88_88] : ((a1(X88_88) & b(X88_88)))
% 9.76/3.95
% 9.76/3.95 [294] ALPHA_AND : (? [X86_86] : (a1(X86_86)) & ! [X87_87] : (b(X87_87)))
% 9.76/3.95 -> [295] ? [X86_86] : (a1(X86_86)), ! [X87_87] : (b(X87_87))
% 9.76/3.95
% 9.76/3.95 [295] DELTA_EXISTS : ? [X86_86] : (a1(X86_86))
% 9.76/3.95 -> [296] a1(skolem_X8686)
% 9.76/3.95
% 9.76/3.95 [296] GAMMA_NOT_EXISTS : ~? [X88_88] : ((a1(X88_88) & b(X88_88)))
% 9.76/3.95 -> [297] ~(a1(skolem_X8686) & b(skolem_X8686))
% 9.76/3.95
% 9.76/3.95 [297] BETA_NOT_AND : ~(a1(skolem_X8686) & b(skolem_X8686))
% 9.76/3.95 -> [298] ~a1(skolem_X8686)
% 9.76/3.95 -> [299] ~b(skolem_X8686)
% 9.76/3.95
% 9.76/3.95 [298] CLOSURE : ~a1(skolem_X8686)
% 9.76/3.95
% 9.76/3.95 [299] GAMMA_FORALL : ! [X87_87] : (b(X87_87))
% 9.76/3.95 -> [300] b(X87_0_1)
% 9.76/3.95
% 9.76/3.95 [300] CLOSURE : b(X87_0_1)
% 9.76/3.95
% 9.76/3.95 [292] BETA_NOT_AND : ~((((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))) & ~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85)))))
% 9.76/3.95 -> [301] ~(((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83)))))
% 9.76/3.95 -> [302] ~~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))
% 9.76/3.95
% 9.76/3.95 [302] ALPHA_NOT_NOT : ~~? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))
% 9.76/3.95 -> [303] ? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))
% 9.76/3.95
% 9.76/3.95 [303] DELTA_EXISTS : ? [Y84_84] : (! [X85_85] : ((a(X85_85, Y84_84) <=> ~a(X85_85, X85_85))))
% 9.76/3.95 -> [304] ! [X85_85] : ((a(X85_85, skolem_Y8484) <=> ~a(X85_85, X85_85)))
% 9.76/3.95
% 9.76/3.95 [304] GAMMA_FORALL : ! [X85_85] : ((a(X85_85, skolem_Y8484) <=> ~a(X85_85, X85_85)))
% 9.76/3.95 -> [305] (a(skolem_Y8484, skolem_Y8484) <=> ~a(skolem_Y8484, skolem_Y8484))
% 9.76/3.95
% 9.76/3.95 [305] BETA_EQUIV : (a(skolem_Y8484, skolem_Y8484) <=> ~a(skolem_Y8484, skolem_Y8484))
% 9.76/3.95 -> [306] ~a(skolem_Y8484, skolem_Y8484), ~~a(skolem_Y8484, skolem_Y8484)
% 9.76/3.95 -> [307] a(skolem_Y8484, skolem_Y8484), ~a(skolem_Y8484, skolem_Y8484)
% 9.76/3.95
% 9.76/3.95 [306] ALPHA_NOT_NOT : ~~a(skolem_Y8484, skolem_Y8484)
% 9.76/3.95 -> [308] a(skolem_Y8484, skolem_Y8484)
% 9.76/3.95
% 9.76/3.95 [308] CLOSURE : a(skolem_Y8484, skolem_Y8484)
% 9.76/3.95
% 9.76/3.95 [307] CLOSURE : ~a(skolem_Y8484, skolem_Y8484)
% 9.76/3.95
% 9.76/3.95 [301] BETA_NOT_AND : ~(((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))) & (? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83)))))
% 9.76/3.95 -> [309] ~((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80)))))
% 9.76/3.95 -> [310] ~(? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))
% 9.76/3.95
% 9.76/3.95 [310] ALPHA_NOT_IMPLY : ~(? [X81_81] : ((a1(X81_81) => b(X81_81))) => (! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83))))
% 9.76/3.95 -> [311] ? [X81_81] : ((a1(X81_81) => b(X81_81))), ~(! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83)))
% 9.76/3.95
% 9.76/3.95 [311] ALPHA_NOT_IMPLY : ~(! [X82_82] : (a1(X82_82)) => ? [X83_83] : (b(X83_83)))
% 9.76/3.95 -> [312] ! [X82_82] : (a1(X82_82)), ~? [X83_83] : (b(X83_83))
% 9.76/3.95
% 9.76/3.95 [312] DELTA_EXISTS : ? [X81_81] : ((a1(X81_81) => b(X81_81)))
% 9.76/3.95 -> [313] (a1(skolem_X8181) => b(skolem_X8181))
% 9.76/3.95
% 9.76/3.95 [313] BETA_IMPLY : (a1(skolem_X8181) => b(skolem_X8181))
% 9.76/3.95 -> [314] ~a1(skolem_X8181)
% 9.76/3.95 -> [315] b(skolem_X8181)
% 9.76/3.95
% 9.76/3.95 [314] GAMMA_FORALL : ! [X82_82] : (a1(X82_82))
% 9.76/3.95 -> [316] a1(X82_0_0)
% 9.76/3.95
% 9.76/3.95 [316] CLOSURE : a1(X82_0_0)
% 9.76/3.95
% 9.76/3.95 [315] GAMMA_FORALL : ! [X82_82] : (a1(X82_82))
% 9.76/3.95 -> [317] a1(X82_1_0)
% 9.76/3.95
% 9.76/3.95 [317] GAMMA_NOT_EXISTS : ~? [X83_83] : (b(X83_83))
% 9.76/3.95 -> [318] ~b(X83_0_1)
% 9.76/3.95
% 9.76/3.95 [318] CLOSURE : ~b(X83_0_1)
% 9.76/3.95
% 9.76/3.95 [309] BETA_NOT_AND : ~((((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))) & (! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80)))))
% 9.76/3.95 -> [319] ~(((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75)))))))
% 9.76/3.95 -> [320] ~(! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))
% 9.76/3.95
% 9.76/3.95 [320] ALPHA_NOT_IMPLY : ~(! [X78_78] : ((a1(X78_78) => b(X78_78))) => (? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80))))
% 9.76/3.95 -> [321] ! [X78_78] : ((a1(X78_78) => b(X78_78))), ~(? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80)))
% 9.76/3.95
% 9.76/3.95 [321] ALPHA_NOT_IMPLY : ~(? [X79_79] : (a1(X79_79)) => ? [X80_80] : (b(X80_80)))
% 9.76/3.95 -> [322] ? [X79_79] : (a1(X79_79)), ~? [X80_80] : (b(X80_80))
% 9.76/3.95
% 9.76/3.95 [322] DELTA_EXISTS : ? [X79_79] : (a1(X79_79))
% 9.76/3.95 -> [323] a1(skolem_X7979)
% 9.76/3.95
% 9.76/3.95 [323] GAMMA_FORALL : ! [X78_78] : ((a1(X78_78) => b(X78_78)))
% 9.76/3.95 -> [324] (a1(skolem_X7979) => b(skolem_X7979))
% 9.76/3.95
% 9.76/3.95 [324] BETA_IMPLY : (a1(skolem_X7979) => b(skolem_X7979))
% 9.76/3.95 -> [325] ~a1(skolem_X7979)
% 9.76/3.95 -> [326] b(skolem_X7979)
% 9.76/3.95
% 9.76/3.95 [325] CLOSURE : ~a1(skolem_X7979)
% 9.76/3.95
% 9.76/3.95 [326] GAMMA_NOT_EXISTS : ~? [X80_80] : (b(X80_80))
% 9.76/3.95 -> [327] ~b(X80_0_1)
% 9.76/3.95
% 9.76/3.95 [327] CLOSURE : ~b(X80_0_1)
% 9.76/3.95
% 9.76/3.95 [319] BETA_NOT_AND : ~(((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))) & ! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75)))))))
% 9.76/3.95 -> [328] ~((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73)))))
% 9.76/3.95 -> [329] ~! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))
% 9.76/3.95
% 9.76/3.95 [329] DELTA_NOT_FORALL : ~! [A74_74, B75_75] : ((! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(A74_74)) & (q1(X77_77) => p1(B75_75))))))
% 9.76/3.95 -> [330] ~(! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(skolem_A7474)) & (q1(X77_77) => p1(skolem_B7575)))))
% 9.76/3.95
% 9.76/3.95 [330] ALPHA_NOT_IMPLY : ~(! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))) => ? [X77_77] : (((p1(X77_77) => p1(skolem_A7474)) & (q1(X77_77) => p1(skolem_B7575)))))
% 9.76/3.95 -> [331] ! [Z76_76] : ((q1(Z76_76) => p1(Z76_76))), ~? [X77_77] : (((p1(X77_77) => p1(skolem_A7474)) & (q1(X77_77) => p1(skolem_B7575))))
% 9.76/3.95
% 9.76/3.95 [331] GAMMA_FORALL : ! [Z76_76] : ((q1(Z76_76) => p1(Z76_76)))
% 9.76/3.95 -> [332] (q1(skolem_A7474) => p1(skolem_A7474))
% 9.76/3.95
% 9.76/3.95 [332] BETA_IMPLY : (q1(skolem_A7474) => p1(skolem_A7474))
% 9.76/3.95 -> [333] ~q1(skolem_A7474)
% 9.76/3.95 -> [334] p1(skolem_A7474)
% 9.76/3.95
% 9.76/3.95 [333] GAMMA_NOT_EXISTS : ~? [X77_77] : (((p1(X77_77) => p1(skolem_A7474)) & (q1(X77_77) => p1(skolem_B7575))))
% 9.76/3.95 -> [335] ~((p1(skolem_A7474) => p1(skolem_A7474)) & (q1(skolem_A7474) => p1(skolem_B7575)))
% 9.76/3.95
% 9.76/3.95 [335] BETA_NOT_AND : ~((p1(skolem_A7474) => p1(skolem_A7474)) & (q1(skolem_A7474) => p1(skolem_B7575)))
% 9.76/3.95 -> [337] ~(p1(skolem_A7474) => p1(skolem_A7474))
% 9.76/3.95 -> [338] ~(q1(skolem_A7474) => p1(skolem_B7575))
% 9.76/3.95
% 9.76/3.95 [337] ALPHA_NOT_IMPLY : ~(p1(skolem_A7474) => p1(skolem_A7474))
% 9.76/3.95 -> [341] p1(skolem_A7474), ~p1(skolem_A7474)
% 9.76/3.95
% 9.76/3.95 [341] CLOSURE : ~p1(skolem_A7474)
% 9.76/3.95
% 9.76/3.95 [344] CLOSURE : q1(skolem_A7474)
% 9.76/3.95
% 9.76/3.95 [336] BETA_NOT_AND : ~((p1(skolem_B7575) => p1(skolem_A7474)) & (q1(skolem_B7575) => p1(skolem_B7575)))
% 9.76/3.95 -> [345] ~(p1(skolem_B7575) => p1(skolem_A7474))
% 9.76/3.95 -> [346] ~(q1(skolem_B7575) => p1(skolem_B7575))
% 9.76/3.95
% 9.76/3.95 [345] ALPHA_NOT_IMPLY : ~(p1(skolem_B7575) => p1(skolem_A7474))
% 9.76/3.95 -> [347] p1(skolem_B7575), ~p1(skolem_A7474)
% 9.76/3.95
% 9.76/3.95 [347] CLOSURE : ~p1(skolem_A7474)
% 9.76/3.95
% 9.76/3.95 [346] ALPHA_NOT_IMPLY : ~(q1(skolem_B7575) => p1(skolem_B7575))
% 9.76/3.95 -> [348] q1(skolem_B7575), ~p1(skolem_B7575)
% 9.76/3.95
% 9.76/3.95 [348] ALPHA_NOT_IMPLY : ! [Z76_76] : ((q1(Z76_76) => p1(Z76_76)))
% 9.76/3.95 -> [349] ! [Z76_76] : ((q1(Z76_76) => p1(Z76_76)))
% 9.76/3.95
% 9.76/3.95 [349] GAMMA_FORALL : ! [Z76_76] : ((q1(Z76_76) => p1(Z76_76)))
% 9.76/3.95 -> [350] (q1(skolem_B7575) => p1(skolem_B7575))
% 9.76/3.95
% 9.76/3.95 [350] BETA_IMPLY : (q1(skolem_B7575) => p1(skolem_B7575))
% 9.76/3.95 -> [351] ~q1(skolem_B7575)
% 9.76/3.95 -> [352] p1(skolem_B7575)
% 9.76/3.95
% 9.76/3.95 [352] CLOSURE : p1(skolem_B7575)
% 9.76/3.95
% 9.76/3.95 [351] CLOSURE : ~q1(skolem_B7575)
% 9.76/3.95
% 9.76/3.95 [328] BETA_NOT_AND : ~((((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))) & (! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73)))))
% 9.76/3.95 -> [353] ~(((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70))))
% 9.76/3.95 -> [354] ~(! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))
% 9.76/3.95
% 9.76/3.95 [354] ALPHA_NOT_IMPLY : ~(! [X71_71] : ((p1(X71_71) => q1(X71_71))) => (! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73))))
% 9.76/3.95 -> [355] ! [X71_71] : ((p1(X71_71) => q1(X71_71))), ~(! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73)))
% 9.76/3.95
% 9.76/3.95 [355] ALPHA_NOT_IMPLY : ~(! [X72_72] : (p1(X72_72)) => ! [X73_73] : (q1(X73_73)))
% 9.76/3.95 -> [356] ! [X72_72] : (p1(X72_72)), ~! [X73_73] : (q1(X73_73))
% 9.76/3.95
% 9.76/3.95 [356] DELTA_NOT_FORALL : ~! [X73_73] : (q1(X73_73))
% 9.76/3.95 -> [357] ~q1(skolem_X7373)
% 9.76/3.95
% 9.76/3.95 [357] GAMMA_FORALL : ! [X71_71] : ((p1(X71_71) => q1(X71_71)))
% 9.76/3.95 -> [358] (p1(skolem_X7373) => q1(skolem_X7373))
% 9.76/3.95
% 9.76/3.95 [358] BETA_IMPLY : (p1(skolem_X7373) => q1(skolem_X7373))
% 9.76/3.95 -> [359] ~p1(skolem_X7373)
% 9.76/3.95 -> [360] q1(skolem_X7373)
% 9.76/3.95
% 9.76/3.95 [360] CLOSURE : q1(skolem_X7373)
% 9.76/3.95
% 9.76/3.95 [359] GAMMA_FORALL : ! [X72_72] : (p1(X72_72))
% 9.76/3.95 -> [361] p1(X72_0_1)
% 9.76/3.95
% 9.76/3.95 [361] CLOSURE : p1(X72_0_1)
% 9.76/3.95
% 9.76/3.95 [353] BETA_NOT_AND : ~(((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))) & (! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70))))
% 9.76/3.95 -> [362] ~((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0))))))
% 9.76/3.95 -> [363] ~(! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))
% 9.76/3.95
% 9.76/3.95 [363] ALPHA_NOT_IMPLY : ~(! [X69_69] : (p1(X69_69)) => ? [Y70_70] : (p1(Y70_70)))
% 9.76/3.95 -> [364] ! [X69_69] : (p1(X69_69)), ~? [Y70_70] : (p1(Y70_70))
% 9.76/3.95
% 9.76/3.95 [364] GAMMA_FORALL : ! [X69_69] : (p1(X69_69))
% 9.76/3.95 -> [365] p1(X69_0_0)
% 9.76/3.95
% 9.76/3.95 [365] GAMMA_NOT_EXISTS : ~? [Y70_70] : (p1(Y70_70))
% 9.76/3.95 -> [366] ~p1(Y70_0_1)
% 9.76/3.95
% 9.76/3.95 [366] CLOSURE : ~p1(Y70_0_1)
% 9.76/3.95
% 9.76/3.95 [362] BETA_NOT_AND : ~((((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))) & (? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0))))))
% 9.76/3.95 -> [367] ~(((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64)))))))
% 9.76/3.95 -> [368] ~(? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))
% 9.76/3.95
% 9.76/3.95 [368] ALPHA_NOT_IMPLY : ~(? [X67_67] : (p1(X67_67)) => (? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0)))))
% 9.76/3.95 -> [369] ? [X67_67] : (p1(X67_67)), ~(? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0))))
% 9.76/3.95
% 9.76/3.95 [369] DELTA_EXISTS : ? [X67_67] : (p1(X67_67))
% 9.76/3.95 -> [370] p1(skolem_X6767)
% 9.76/3.95
% 9.76/3.95 [370] BETA_NOT_AND : ~(? [X68_68] : (p1(X68_68)) & (a0 => ((b0 | ~b0) & (q0 => q0))))
% 9.76/3.95 -> [371] ~? [X68_68] : (p1(X68_68))
% 9.76/3.95 -> [372] ~(a0 => ((b0 | ~b0) & (q0 => q0)))
% 9.76/3.95
% 9.76/3.95 [371] GAMMA_NOT_EXISTS : ~? [X68_68] : (p1(X68_68))
% 9.76/3.95 -> [373] ~p1(X68_0_0)
% 9.76/3.95
% 9.76/3.95 [373] CLOSURE : ~p1(X68_0_0)
% 9.76/3.95
% 9.76/3.95 [372] ALPHA_NOT_IMPLY : ~(a0 => ((b0 | ~b0) & (q0 => q0)))
% 9.76/3.95 -> [374] a0, ~((b0 | ~b0) & (q0 => q0))
% 9.76/3.95
% 9.76/3.95 [374] BETA_NOT_AND : ~((b0 | ~b0) & (q0 => q0))
% 9.76/3.95 -> [375] ~(b0 | ~b0)
% 9.76/3.95 -> [376] ~(q0 => q0)
% 9.76/3.95
% 9.76/3.95 [376] ALPHA_NOT_IMPLY : ~(q0 => q0)
% 9.76/3.95 -> [378] q0, ~q0
% 9.76/3.95
% 9.76/3.95 [378] CLOSURE : q0
% 9.76/3.95
% 9.76/3.95 [375] ALPHA_NOT_OR : ~(b0 | ~b0)
% 9.76/3.95 -> [377] ~b0, ~~b0
% 9.76/3.95
% 9.76/3.95 [377] ALPHA_NOT_NOT : ~~b0
% 9.76/3.95 -> [379] b0
% 9.76/3.95
% 9.76/3.95 [379] CLOSURE : b0
% 9.76/3.95
% 9.76/3.95 [367] BETA_NOT_AND : ~(((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))) & ! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64)))))))
% 9.76/3.95 -> [380] ~((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62))))))
% 9.76/3.95 -> [381] ~! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))
% 9.76/3.95
% 9.76/3.95 [381] DELTA_NOT_FORALL : ~! [A63_63, B64_64] : ((! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(A63_63)) & (q1(X66_66) => p1(B64_64))))))
% 9.76/3.95 -> [382] ~(! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(skolem_A6363)) & (q1(X66_66) => p1(skolem_B6464)))))
% 9.76/3.95
% 9.76/3.95 [382] ALPHA_NOT_IMPLY : ~(! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))) => ? [X66_66] : (((p1(X66_66) => p1(skolem_A6363)) & (q1(X66_66) => p1(skolem_B6464)))))
% 9.76/3.95 -> [383] ! [Y65_65] : ((q1(Y65_65) => p1(Y65_65))), ~? [X66_66] : (((p1(X66_66) => p1(skolem_A6363)) & (q1(X66_66) => p1(skolem_B6464))))
% 9.76/3.95
% 9.76/3.95 [383] GAMMA_FORALL : ! [Y65_65] : ((q1(Y65_65) => p1(Y65_65)))
% 9.76/3.95 -> [384] (q1(skolem_A6363) => p1(skolem_A6363))
% 9.76/3.95
% 9.76/3.95 [384] BETA_IMPLY : (q1(skolem_A6363) => p1(skolem_A6363))
% 9.76/3.95 -> [385] ~q1(skolem_A6363)
% 9.76/3.95 -> [386] p1(skolem_A6363)
% 9.76/3.95
% 9.76/3.95 [385] GAMMA_NOT_EXISTS : ~? [X66_66] : (((p1(X66_66) => p1(skolem_A6363)) & (q1(X66_66) => p1(skolem_B6464))))
% 9.76/3.95 -> [387] ~((p1(skolem_A6363) => p1(skolem_A6363)) & (q1(skolem_A6363) => p1(skolem_B6464)))
% 9.76/3.95
% 9.76/3.95 [387] BETA_NOT_AND : ~((p1(skolem_A6363) => p1(skolem_A6363)) & (q1(skolem_A6363) => p1(skolem_B6464)))
% 9.76/3.95 -> [389] ~(p1(skolem_A6363) => p1(skolem_A6363))
% 9.76/3.95 -> [390] ~(q1(skolem_A6363) => p1(skolem_B6464))
% 9.76/3.95
% 9.76/3.95 [389] ALPHA_NOT_IMPLY : ~(p1(skolem_A6363) => p1(skolem_A6363))
% 9.76/3.95 -> [394] p1(skolem_A6363), ~p1(skolem_A6363)
% 9.76/3.95
% 9.76/3.95 [394] CLOSURE : ~p1(skolem_A6363)
% 9.76/3.95
% 9.76/3.95 [395] CLOSURE : q1(skolem_A6363)
% 9.76/3.95
% 9.76/3.95 [388] BETA_NOT_AND : ~((p1(skolem_B6464) => p1(skolem_A6363)) & (q1(skolem_B6464) => p1(skolem_B6464)))
% 9.76/3.95 -> [397] ~(p1(skolem_B6464) => p1(skolem_A6363))
% 9.76/3.95 -> [398] ~(q1(skolem_B6464) => p1(skolem_B6464))
% 9.76/3.95
% 9.76/3.95 [397] ALPHA_NOT_IMPLY : ~(p1(skolem_B6464) => p1(skolem_A6363))
% 9.76/3.95 -> [400] p1(skolem_B6464), ~p1(skolem_A6363)
% 9.76/3.95
% 9.76/3.95 [400] CLOSURE : ~p1(skolem_A6363)
% 9.76/3.95
% 9.76/3.95 [398] ALPHA_NOT_IMPLY : ~(q1(skolem_B6464) => p1(skolem_B6464))
% 9.76/3.95 -> [399] q1(skolem_B6464), ~p1(skolem_B6464)
% 9.76/3.95
% 9.76/3.95 [399] ALPHA_NOT_IMPLY : ! [Y65_65] : ((q1(Y65_65) => p1(Y65_65)))
% 9.76/3.95 -> [401] ! [Y65_65] : ((q1(Y65_65) => p1(Y65_65)))
% 9.76/3.95
% 9.76/3.95 [401] GAMMA_FORALL : ! [Y65_65] : ((q1(Y65_65) => p1(Y65_65)))
% 9.76/3.95 -> [402] (q1(skolem_B6464) => p1(skolem_B6464))
% 9.76/3.95
% 9.76/3.95 [402] BETA_IMPLY : (q1(skolem_B6464) => p1(skolem_B6464))
% 9.76/3.95 -> [403] ~q1(skolem_B6464)
% 9.76/3.95 -> [404] p1(skolem_B6464)
% 9.76/3.95
% 9.76/3.95 [404] CLOSURE : p1(skolem_B6464)
% 9.76/3.95
% 9.76/3.95 [403] CLOSURE : ~q1(skolem_B6464)
% 9.76/3.95
% 9.76/3.95 [380] BETA_NOT_AND : ~((((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))) & ! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62))))))
% 9.76/3.95 -> [405] ~(((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54))))
% 9.76/3.95 -> [406] ~! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))
% 9.76/3.95
% 9.76/3.95 [406] DELTA_NOT_FORALL : ~! [A55_55, B56_56, C57_57] : ((((((s1(A55_55) & s1(B56_56)) & r(B56_56, C57_57)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))))
% 9.76/3.95 -> [407] ~(((((s1(skolem_A5555) & s1(skolem_B5656)) & r(skolem_B5656, skolem_C5757)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62))))
% 9.76/3.95
% 9.76/3.95 [407] ALPHA_NOT_IMPLY : ~(((((s1(skolem_A5555) & s1(skolem_B5656)) & r(skolem_B5656, skolem_C5757)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))) => ? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62))))
% 9.76/3.95 -> [408] ((((s1(skolem_A5555) & s1(skolem_B5656)) & r(skolem_B5656, skolem_C5757)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))), ~? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))
% 9.76/3.95
% 9.76/3.95 [408] ALPHA_AND : ((((s1(skolem_A5555) & s1(skolem_B5656)) & r(skolem_B5656, skolem_C5757)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))) & ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60))))
% 9.76/3.95 -> [409] (((s1(skolem_A5555) & s1(skolem_B5656)) & r(skolem_B5656, skolem_C5757)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58)))), ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))
% 9.76/3.95
% 9.76/3.95 [409] ALPHA_AND : (((s1(skolem_A5555) & s1(skolem_B5656)) & r(skolem_B5656, skolem_C5757)) & ! [X58_58] : ((s1(X58_58) => p1(X58_58))))
% 9.76/3.95 -> [410] ((s1(skolem_A5555) & s1(skolem_B5656)) & r(skolem_B5656, skolem_C5757)), ! [X58_58] : ((s1(X58_58) => p1(X58_58)))
% 9.76/3.95
% 9.76/3.95 [410] ALPHA_AND : ((s1(skolem_A5555) & s1(skolem_B5656)) & r(skolem_B5656, skolem_C5757))
% 9.76/3.95 -> [411] (s1(skolem_A5555) & s1(skolem_B5656)), r(skolem_B5656, skolem_C5757)
% 9.76/3.95
% 9.76/3.95 [411] ALPHA_AND : (s1(skolem_A5555) & s1(skolem_B5656))
% 9.76/3.95 -> [412] s1(skolem_A5555), s1(skolem_B5656)
% 9.76/3.95
% 9.76/3.95 [412] GAMMA_NOT_EXISTS : ~? [X61_61, Y62_62] : ((p1(X61_61) & q(X61_61, Y62_62)))
% 9.76/3.95 -> [413] ~(p1(skolem_B5656) & q(skolem_B5656, skolem_C5757))
% 9.76/3.95
% 9.76/3.95 [413] BETA_NOT_AND : ~(p1(skolem_B5656) & q(skolem_B5656, skolem_C5757))
% 9.76/3.95 -> [414] ~p1(skolem_B5656)
% 9.76/3.95 -> [415] ~q(skolem_B5656, skolem_C5757)
% 9.76/3.95
% 9.76/3.95 [415] GAMMA_FORALL : ! [X59_59, Y60_60] : ((r(X59_59, Y60_60) => q(X59_59, Y60_60)))
% 9.76/3.95 -> [417] (r(skolem_B5656, skolem_C5757) => q(skolem_B5656, skolem_C5757))
% 9.76/3.95
% 9.76/3.95 [417] BETA_IMPLY : (r(skolem_B5656, skolem_C5757) => q(skolem_B5656, skolem_C5757))
% 9.76/3.95 -> [420] ~r(skolem_B5656, skolem_C5757)
% 9.76/3.95 -> [421] q(skolem_B5656, skolem_C5757)
% 9.76/3.95
% 9.76/3.95 [420] CLOSURE : ~r(skolem_B5656, skolem_C5757)
% 9.76/3.95
% 9.76/3.95 [421] CLOSURE : q(skolem_B5656, skolem_C5757)
% 9.76/3.95
% 9.76/3.95 [416] BETA_IMPLY : (r(skolem_B5656, skolem_C5757) => q(skolem_B5656, skolem_C5757))
% 9.76/3.95 -> [452] ~r(skolem_B5656, skolem_C5757)
% 9.76/3.95 -> [453] q(skolem_B5656, skolem_C5757)
% 9.76/3.95
% 9.76/3.95 [452] CLOSURE : ~r(skolem_B5656, skolem_C5757)
% 9.76/3.95
% 9.76/3.95 [453] GAMMA_FORALL : ! [X58_58] : ((s1(X58_58) => p1(X58_58)))
% 9.76/3.95 -> [460] (s1(skolem_B5656) => p1(skolem_B5656))
% 9.76/3.95
% 9.76/3.95 [460] BETA_IMPLY : (s1(skolem_B5656) => p1(skolem_B5656))
% 9.76/3.95 -> [462] ~s1(skolem_B5656)
% 9.76/3.95 -> [463] p1(skolem_B5656)
% 9.76/3.95
% 9.76/3.95 [463] CLOSURE : p1(skolem_B5656)
% 9.76/3.95
% 9.76/3.95 [462] CLOSURE : ~s1(skolem_B5656)
% 9.76/3.95
% 9.76/3.95 [405] BETA_NOT_AND : ~(((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))) & (! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54))))
% 9.76/3.95 -> [422] ~((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50))))))
% 9.76/3.95 -> [423] ~(! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))
% 9.76/3.95
% 9.76/3.95 [423] ALPHA_NOT_IMPLY : ~(! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))) => ? [Z54_54] : (a(Z54_54, Z54_54)))
% 9.76/3.95 -> [424] ! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53)))), ~? [Z54_54] : (a(Z54_54, Z54_54))
% 9.76/3.95
% 9.76/3.95 [424] GAMMA_FORALL : ! [X52_52] : (? [Y53_53] : ((a(X52_52, Y53_53) & a(Y53_53, Y53_53))))
% 9.76/3.95 -> [425] ? [Y53_53] : ((a(X52_0_0, Y53_53) & a(Y53_53, Y53_53)))
% 9.76/3.95
% 9.76/3.95 [425] DELTA_EXISTS : ? [Y53_53] : ((a(X52_0_0, Y53_53) & a(Y53_53, Y53_53)))
% 9.76/3.95 -> [426] (a(X52_0_0, skolem_Y5353(X52_0_0)) & a(skolem_Y5353(X52_0_0), skolem_Y5353(X52_0_0)))
% 9.76/3.95
% 9.76/3.95 [426] ALPHA_AND : (a(X52_0_0, skolem_Y5353(X52_0_0)) & a(skolem_Y5353(X52_0_0), skolem_Y5353(X52_0_0)))
% 9.76/3.95 -> [427] a(X52_0_0, skolem_Y5353(X52_0_0)), a(skolem_Y5353(X52_0_0), skolem_Y5353(X52_0_0))
% 9.76/3.95
% 9.76/3.95 [427] GAMMA_NOT_EXISTS : ~? [Z54_54] : (a(Z54_54, Z54_54))
% 9.76/3.95 -> [431] ~a(Z54_0_1, Z54_0_1)
% 9.76/3.95
% 9.76/3.95 [431] CLOSURE : ~a(Z54_0_1, Z54_0_1)
% 9.76/3.95
% 9.76/3.95 [422] BETA_NOT_AND : ~((((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))) & (! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50))))))
% 9.76/3.95 -> [432] ~(((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46))))))
% 9.76/3.95 -> [433] ~(! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))
% 9.76/3.95
% 9.76/3.95 [433] ALPHA_NOT_IMPLY : ~(! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))) => ? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50)))))
% 9.76/3.95 -> [436] ! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49)))), ~? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50))))
% 9.76/3.95
% 9.76/3.95 [436] GAMMA_FORALL : ! [X48_48] : (? [Y49_49] : ((p1(X48_48) & q1(Y49_49))))
% 9.76/3.95 -> [437] ? [Y49_49] : ((p1(X48_0_0) & q1(Y49_49)))
% 9.76/3.95
% 9.76/3.95 [437] DELTA_EXISTS : ? [Y49_49] : ((p1(X48_0_0) & q1(Y49_49)))
% 9.76/3.95 -> [438] (p1(X48_0_0) & q1(skolem_Y4949(X48_0_0)))
% 9.76/3.95
% 9.76/3.95 [438] ALPHA_AND : (p1(X48_0_0) & q1(skolem_Y4949(X48_0_0)))
% 9.76/3.95 -> [439] p1(X48_0_0), q1(skolem_Y4949(X48_0_0))
% 9.76/3.95
% 9.76/3.95 [439] GAMMA_NOT_EXISTS : ~? [Z50_50] : (! [Y51_51] : ((p1(Y51_51) | r1(Z50_50))))
% 9.76/3.95 -> [440] ~! [Y51_51] : ((p1(Y51_51) | r1(Z50_0_1)))
% 9.76/3.95
% 9.76/3.95 [440] DELTA_NOT_FORALL : ~! [Y51_51] : ((p1(Y51_51) | r1(Z50_0_1)))
% 9.76/3.95 -> [441] ~(p1(skolem_Y5151(Z50_0_1)) | r1(Z50_0_1))
% 9.76/3.95
% 9.76/3.95 [441] ALPHA_NOT_OR : ~(p1(skolem_Y5151(Z50_0_1)) | r1(Z50_0_1))
% 9.76/3.95 -> [442] ~p1(skolem_Y5151(Z50_0_1)), ~r1(Z50_0_1)
% 9.76/3.95
% 9.76/3.95 [442] CLOSURE : ~p1(skolem_Y5151(Z50_0_1))
% 9.76/3.95
% 9.76/3.95 [432] BETA_NOT_AND : ~(((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))) & ((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46))))))
% 9.76/3.95 -> [443] ~((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43)))))
% 9.76/3.95 -> [444] ~((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))
% 9.76/3.95
% 9.76/3.95 [444] ALPHA_NOT_IMPLY : ~((! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))) => ? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46)))))
% 9.76/3.95 -> [445] (! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45))), ~? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46))))
% 9.76/3.95
% 9.76/3.95 [445] ALPHA_AND : (! [X44_44] : (p1(X44_44)) & ? [Y45_45] : (q1(Y45_45)))
% 9.76/3.95 -> [446] ! [X44_44] : (p1(X44_44)), ? [Y45_45] : (q1(Y45_45))
% 9.76/3.95
% 9.76/3.95 [446] DELTA_EXISTS : ? [Y45_45] : (q1(Y45_45))
% 9.76/3.95 -> [447] q1(skolem_Y4545)
% 9.76/3.95
% 9.76/3.95 [447] GAMMA_NOT_EXISTS : ~? [Z46_46] : (! [Y47_47] : ((p1(Y47_47) | r1(Z46_46))))
% 9.76/3.95 -> [448] ~! [Y47_47] : ((p1(Y47_47) | r1(Z46_0_0)))
% 9.76/3.95
% 9.76/3.95 [448] DELTA_NOT_FORALL : ~! [Y47_47] : ((p1(Y47_47) | r1(Z46_0_0)))
% 9.76/3.95 -> [449] ~(p1(skolem_Y4747(Z46_0_0)) | r1(Z46_0_0))
% 9.76/3.95
% 9.76/3.95 [449] ALPHA_NOT_OR : ~(p1(skolem_Y4747(Z46_0_0)) | r1(Z46_0_0))
% 9.76/3.95 -> [450] ~p1(skolem_Y4747(Z46_0_0)), ~r1(Z46_0_0)
% 9.76/3.95
% 9.76/3.95 [450] GAMMA_FORALL : ! [X44_44] : (p1(X44_44))
% 9.76/3.95 -> [451] p1(X44_0_1)
% 9.76/3.95
% 9.76/3.95 [451] CLOSURE : p1(X44_0_1)
% 9.76/3.95
% 9.76/3.95 [443] BETA_NOT_AND : ~((((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))) & (! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43)))))
% 9.76/3.95 -> [454] ~(((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40))))))
% 9.76/3.95 -> [455] ~(! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))
% 9.76/3.95
% 9.76/3.95 [455] ALPHA_NOT_IMPLY : ~(! [X41_41] : (p1(X41_41)) => ! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43))))
% 9.76/3.95 -> [456] ! [X41_41] : (p1(X41_41)), ~! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43)))
% 9.76/3.95
% 9.76/3.95 [456] DELTA_NOT_FORALL : ~! [A42_42, B43_43] : ((p1(A42_42) & p1(B43_43)))
% 9.76/3.95 -> [457] ~(p1(skolem_A4242) & p1(skolem_B4343))
% 9.76/3.95
% 9.76/3.95 [457] BETA_NOT_AND : ~(p1(skolem_A4242) & p1(skolem_B4343))
% 9.76/3.95 -> [458] ~p1(skolem_A4242)
% 9.76/3.95 -> [459] ~p1(skolem_B4343)
% 9.76/3.95
% 9.76/3.95 [458] GAMMA_FORALL : ! [X41_41] : (p1(X41_41))
% 9.76/3.95 -> [461] p1(X41_0_0)
% 9.76/3.95
% 9.76/3.95 [461] CLOSURE : p1(X41_0_0)
% 9.76/3.95
% 9.76/3.95 [459] GAMMA_FORALL : ! [X41_41] : (p1(X41_41))
% 9.76/3.95 -> [464] p1(X41_1_0)
% 9.76/3.95
% 9.76/3.95 [464] CLOSURE : p1(X41_1_0)
% 9.76/3.95
% 9.76/3.95 [454] BETA_NOT_AND : ~(((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))) & ! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40))))))
% 9.76/3.95 -> [465] ~((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31)))))))
% 9.76/3.95 -> [466] ~! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))
% 9.76/3.95
% 9.76/3.95 [466] DELTA_NOT_FORALL : ~! [A33_33, B34_34, C35_35] : ((((((s1(A33_33) & s1(B34_34)) & r(B34_34, C35_35)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))))
% 9.76/3.95 -> [467] ~(((((s1(skolem_A3333) & s1(skolem_B3434)) & r(skolem_B3434, skolem_C3535)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40))))
% 9.76/3.95
% 9.76/3.95 [467] ALPHA_NOT_IMPLY : ~(((((s1(skolem_A3333) & s1(skolem_B3434)) & r(skolem_B3434, skolem_C3535)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))) => ? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40))))
% 9.76/3.95 -> [468] ((((s1(skolem_A3333) & s1(skolem_B3434)) & r(skolem_B3434, skolem_C3535)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))), ~? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))
% 9.76/3.95
% 9.76/3.95 [468] ALPHA_AND : ((((s1(skolem_A3333) & s1(skolem_B3434)) & r(skolem_B3434, skolem_C3535)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))) & ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38))))
% 9.76/3.95 -> [469] (((s1(skolem_A3333) & s1(skolem_B3434)) & r(skolem_B3434, skolem_C3535)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36)))), ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))
% 9.76/3.95
% 9.76/3.95 [469] ALPHA_AND : (((s1(skolem_A3333) & s1(skolem_B3434)) & r(skolem_B3434, skolem_C3535)) & ! [X36_36] : ((s1(X36_36) => p1(X36_36))))
% 9.76/3.95 -> [470] ((s1(skolem_A3333) & s1(skolem_B3434)) & r(skolem_B3434, skolem_C3535)), ! [X36_36] : ((s1(X36_36) => p1(X36_36)))
% 9.76/3.95
% 9.76/3.95 [470] ALPHA_AND : ((s1(skolem_A3333) & s1(skolem_B3434)) & r(skolem_B3434, skolem_C3535))
% 9.76/3.95 -> [471] (s1(skolem_A3333) & s1(skolem_B3434)), r(skolem_B3434, skolem_C3535)
% 9.76/3.95
% 9.76/3.95 [471] ALPHA_AND : (s1(skolem_A3333) & s1(skolem_B3434))
% 9.76/3.95 -> [472] s1(skolem_A3333), s1(skolem_B3434)
% 9.76/3.95
% 9.76/3.95 [472] GAMMA_NOT_EXISTS : ~? [X39_39, Y40_40] : ((p1(X39_39) & q(X39_39, Y40_40)))
% 9.76/3.95 -> [476] ~(p1(skolem_B3434) & q(skolem_B3434, skolem_C3535))
% 9.76/3.95
% 9.76/3.95 [476] BETA_NOT_AND : ~(p1(skolem_B3434) & q(skolem_B3434, skolem_C3535))
% 9.76/3.95 -> [477] ~p1(skolem_B3434)
% 9.76/3.95 -> [478] ~q(skolem_B3434, skolem_C3535)
% 9.76/3.95
% 9.76/3.95 [478] GAMMA_FORALL : ! [X37_37, Y38_38] : ((r(X37_37, Y38_38) => q(X37_37, Y38_38)))
% 9.76/3.95 -> [489] (r(skolem_B3434, skolem_C3535) => q(skolem_B3434, skolem_C3535))
% 9.76/3.95
% 9.76/3.95 [489] BETA_IMPLY : (r(skolem_B3434, skolem_C3535) => q(skolem_B3434, skolem_C3535))
% 9.76/3.95 -> [491] ~r(skolem_B3434, skolem_C3535)
% 9.76/3.95 -> [492] q(skolem_B3434, skolem_C3535)
% 9.76/3.95
% 9.76/3.95 [491] CLOSURE : ~r(skolem_B3434, skolem_C3535)
% 9.76/3.95
% 9.76/3.95 [492] CLOSURE : q(skolem_B3434, skolem_C3535)
% 9.76/3.95
% 9.76/3.95 [483] BETA_IMPLY : (r(skolem_B3434, skolem_C3535) => q(skolem_B3434, skolem_C3535))
% 9.76/3.95 -> [601] ~r(skolem_B3434, skolem_C3535)
% 9.76/3.95 -> [602] q(skolem_B3434, skolem_C3535)
% 9.76/3.95
% 9.76/3.95 [601] CLOSURE : ~r(skolem_B3434, skolem_C3535)
% 9.76/3.95
% 9.76/3.95 [602] GAMMA_FORALL : ! [X36_36] : ((s1(X36_36) => p1(X36_36)))
% 9.76/3.95 -> [605] (s1(skolem_B3434) => p1(skolem_B3434))
% 9.76/3.95
% 9.76/3.95 [605] BETA_IMPLY : (s1(skolem_B3434) => p1(skolem_B3434))
% 9.76/3.95 -> [606] ~s1(skolem_B3434)
% 9.76/3.95 -> [607] p1(skolem_B3434)
% 9.76/3.95
% 9.76/3.95 [607] CLOSURE : p1(skolem_B3434)
% 9.76/3.95
% 9.76/3.95 [606] CLOSURE : ~s1(skolem_B3434)
% 9.76/3.95
% 9.76/3.95 [465] BETA_NOT_AND : ~((((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))) & ! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31)))))))
% 9.76/3.95 -> [473] ~(((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26)))))
% 9.76/3.95 -> [474] ~! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))
% 9.76/3.95
% 9.76/3.95 [473] BETA_NOT_AND : ~(((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))) & ((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26)))))
% 9.76/3.95 -> [480] ~((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22))))))
% 9.76/3.95 -> [481] ~((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))
% 9.76/3.95
% 9.76/3.95 [481] ALPHA_NOT_IMPLY : ~((! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))) => ? [X26_26] : ((a1(X26_26) & c(X26_26))))
% 9.76/3.95 -> [482] (! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25)))), ~? [X26_26] : ((a1(X26_26) & c(X26_26)))
% 9.76/3.95
% 9.76/3.95 [482] ALPHA_AND : (! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))) & ~! [X25_25] : ((a1(X25_25) => b(X25_25))))
% 9.76/3.95 -> [484] ! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24)))), ~! [X25_25] : ((a1(X25_25) => b(X25_25)))
% 9.76/3.95
% 9.76/3.95 [484] DELTA_NOT_FORALL : ~! [X25_25] : ((a1(X25_25) => b(X25_25)))
% 9.76/3.95 -> [488] ~(a1(skolem_X2525) => b(skolem_X2525))
% 9.76/3.95
% 9.76/3.95 [488] ALPHA_NOT_IMPLY : ~(a1(skolem_X2525) => b(skolem_X2525))
% 9.76/3.95 -> [490] a1(skolem_X2525), ~b(skolem_X2525)
% 9.76/3.95
% 9.76/3.95 [490] GAMMA_NOT_EXISTS : ~? [X26_26] : ((a1(X26_26) & c(X26_26)))
% 9.76/3.95 -> [493] ~(a1(skolem_X2525) & c(skolem_X2525))
% 9.76/3.95
% 9.76/3.95 [493] BETA_NOT_AND : ~(a1(skolem_X2525) & c(skolem_X2525))
% 9.76/3.95 -> [494] ~a1(skolem_X2525)
% 9.76/3.95 -> [495] ~c(skolem_X2525)
% 9.76/3.95
% 9.76/3.95 [494] CLOSURE : ~a1(skolem_X2525)
% 9.76/3.95
% 9.76/3.95 [495] GAMMA_FORALL : ! [X24_24] : ((a1(X24_24) => (b(X24_24) | c(X24_24))))
% 9.76/3.95 -> [517] (a1(skolem_X2525) => (b(skolem_X2525) | c(skolem_X2525)))
% 9.76/3.95
% 9.76/3.95 [517] BETA_IMPLY : (a1(skolem_X2525) => (b(skolem_X2525) | c(skolem_X2525)))
% 9.76/3.95 -> [520] ~a1(skolem_X2525)
% 9.76/3.95 -> [521] (b(skolem_X2525) | c(skolem_X2525))
% 9.76/3.95
% 9.76/3.95 [520] CLOSURE : ~a1(skolem_X2525)
% 9.76/3.95
% 9.76/3.95 [521] BETA_OR : (b(skolem_X2525) | c(skolem_X2525))
% 9.76/3.95 -> [552] b(skolem_X2525)
% 9.76/3.95 -> [553] c(skolem_X2525)
% 9.76/3.95
% 9.76/3.95 [552] CLOSURE : b(skolem_X2525)
% 9.76/3.95
% 9.76/3.95 [553] CLOSURE : c(skolem_X2525)
% 9.76/3.95
% 9.76/3.95 [480] BETA_NOT_AND : ~((! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))) & ! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22))))))
% 9.76/3.95 -> [496] ~(! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18))))))
% 9.76/3.95 -> [497] ~! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))
% 9.76/3.95
% 9.76/3.95 [497] DELTA_NOT_FORALL : ~! [B20_20, C21_21] : ((q1(f(B20_20)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(B20_20) & r1(C21_21))))) & q1(X22_22)))))
% 9.76/3.95 -> [500] ~(q1(f(skolem_B2020)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(skolem_B2020) & r1(skolem_C2121))))) & q1(X22_22))))
% 9.76/3.95
% 9.76/3.95 [500] ALPHA_NOT_IMPLY : ~(q1(f(skolem_B2020)) => ? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(skolem_B2020) & r1(skolem_C2121))))) & q1(X22_22))))
% 9.76/3.95 -> [504] q1(f(skolem_B2020)), ~? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(skolem_B2020) & r1(skolem_C2121))))) & q1(X22_22)))
% 9.76/3.95
% 9.76/3.95 [504] GAMMA_NOT_EXISTS : ~? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(skolem_B2020) & r1(skolem_C2121))))) & q1(X22_22)))
% 9.76/3.95 -> [506] ~((p1(f(skolem_B2020)) => (p1(f(skolem_B2020)) & (r1(skolem_B2020) => (r1(skolem_B2020) & r1(skolem_C2121))))) & q1(f(skolem_B2020)))
% 9.76/3.95
% 9.76/3.95 [506] BETA_NOT_AND : ~((p1(f(skolem_B2020)) => (p1(f(skolem_B2020)) & (r1(skolem_B2020) => (r1(skolem_B2020) & r1(skolem_C2121))))) & q1(f(skolem_B2020)))
% 9.76/3.95 -> [507] ~(p1(f(skolem_B2020)) => (p1(f(skolem_B2020)) & (r1(skolem_B2020) => (r1(skolem_B2020) & r1(skolem_C2121)))))
% 9.76/3.95 -> [508] ~q1(f(skolem_B2020))
% 9.76/3.95
% 9.76/3.95 [508] CLOSURE : ~q1(f(skolem_B2020))
% 9.76/3.95
% 9.76/3.95 [519] BETA_NOT_AND : ~(p1(f(skolem_B2020)) & (r1(skolem_B2020) => (r1(skolem_B2020) & r1(skolem_C2121))))
% 9.76/3.95 -> [679] ~p1(f(skolem_B2020))
% 9.76/3.95 -> [680] ~(r1(skolem_B2020) => (r1(skolem_B2020) & r1(skolem_C2121)))
% 9.76/3.95
% 9.76/3.95 [679] CLOSURE : ~p1(f(skolem_B2020))
% 9.76/3.95
% 9.76/3.95 [680] ALPHA_NOT_IMPLY : ~(r1(skolem_B2020) => (r1(skolem_B2020) & r1(skolem_C2121)))
% 9.76/3.95 -> [681] r1(skolem_B2020), ~(r1(skolem_B2020) & r1(skolem_C2121))
% 9.76/3.95
% 9.76/3.95 [681] BETA_NOT_AND : ~(r1(skolem_B2020) & r1(skolem_C2121))
% 9.76/3.95 -> [687] ~r1(skolem_B2020)
% 9.76/3.95 -> [688] ~r1(skolem_C2121)
% 9.76/3.95
% 9.76/3.95 [687] CLOSURE : ~r1(skolem_B2020)
% 9.76/3.95
% 9.76/3.95 [688] : ~? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(skolem_B2020) & r1(skolem_C2121))))) & q1(X22_22)))
% 9.76/3.95 -> [698] ~? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(skolem_B2020) & r1(skolem_C2121))))) & q1(X22_22)))
% 9.76/3.95
% 9.76/3.95 [698] GAMMA_NOT_EXISTS : ~? [X22_22, Y23_23] : (((p1(f(Y23_23)) => (p1(X22_22) & (r1(Y23_23) => (r1(skolem_B2020) & r1(skolem_C2121))))) & q1(X22_22)))
% 9.76/3.95 -> [699] ~((p1(f(skolem_C2121)) => (p1(f(skolem_B2020)) & (r1(skolem_C2121) => (r1(skolem_B2020) & r1(skolem_C2121))))) & q1(f(skolem_B2020)))
% 9.76/3.95
% 9.76/3.95 [699] BETA_NOT_AND : ~((p1(f(skolem_C2121)) => (p1(f(skolem_B2020)) & (r1(skolem_C2121) => (r1(skolem_B2020) & r1(skolem_C2121))))) & q1(f(skolem_B2020)))
% 9.76/3.95 -> [700] ~(p1(f(skolem_C2121)) => (p1(f(skolem_B2020)) & (r1(skolem_C2121) => (r1(skolem_B2020) & r1(skolem_C2121)))))
% 9.76/3.95 -> [701] ~q1(f(skolem_B2020))
% 9.76/3.95
% 9.76/3.95 [701] CLOSURE : ~q1(f(skolem_B2020))
% 9.76/3.95
% 9.76/3.95 [702] BETA_NOT_AND : ~(p1(f(skolem_B2020)) & (r1(skolem_C2121) => (r1(skolem_B2020) & r1(skolem_C2121))))
% 9.76/3.95 -> [729] ~p1(f(skolem_B2020))
% 9.76/3.95 -> [730] ~(r1(skolem_C2121) => (r1(skolem_B2020) & r1(skolem_C2121)))
% 9.76/3.95
% 9.76/3.95 [729] CLOSURE : ~p1(f(skolem_B2020))
% 9.76/3.95
% 9.76/3.95 [730] ALPHA_NOT_IMPLY : ~(r1(skolem_C2121) => (r1(skolem_B2020) & r1(skolem_C2121)))
% 9.76/3.95 -> [731] r1(skolem_C2121), ~(r1(skolem_B2020) & r1(skolem_C2121))
% 9.76/3.95
% 9.76/3.95 [731] CLOSURE : r1(skolem_C2121)
% 9.76/3.95
% 9.76/3.95 [496] BETA_NOT_AND : ~(! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13))))) & ! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18))))))
% 9.76/3.95 -> [502] ~! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13)))))
% 9.76/3.95 -> [503] ~! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))
% 9.76/3.95
% 9.76/3.95 [503] DELTA_NOT_FORALL : ~! [B15_15, C16_16] : ((! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(B15_15) & r1(C16_16))))) & q1(X18_18)))))
% 9.76/3.95 -> [511] ~(! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(skolem_B1515) & r1(skolem_C1616))))) & q1(X18_18))))
% 9.76/3.95
% 9.76/3.95 [511] ALPHA_NOT_IMPLY : ~(! [Z17_17] : (q1(f(Z17_17))) => ? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(skolem_B1515) & r1(skolem_C1616))))) & q1(X18_18))))
% 9.76/3.95 -> [515] ! [Z17_17] : (q1(f(Z17_17))), ~? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(skolem_B1515) & r1(skolem_C1616))))) & q1(X18_18)))
% 9.76/3.95
% 9.76/3.95 [515] GAMMA_FORALL : ! [Z17_17] : (q1(f(Z17_17)))
% 9.76/3.95 -> [518] q1(f(skolem_C1616))
% 9.76/3.95
% 9.76/3.95 [518] GAMMA_NOT_EXISTS : ~? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(skolem_B1515) & r1(skolem_C1616))))) & q1(X18_18)))
% 9.76/3.95 -> [530] ~((p1(f(skolem_C1616)) => (p1(f(skolem_C1616)) & (r1(skolem_C1616) => (r1(skolem_B1515) & r1(skolem_C1616))))) & q1(f(skolem_C1616)))
% 9.76/3.95
% 9.76/3.95 [530] BETA_NOT_AND : ~((p1(f(skolem_C1616)) => (p1(f(skolem_C1616)) & (r1(skolem_C1616) => (r1(skolem_B1515) & r1(skolem_C1616))))) & q1(f(skolem_C1616)))
% 9.76/3.95 -> [533] ~(p1(f(skolem_C1616)) => (p1(f(skolem_C1616)) & (r1(skolem_C1616) => (r1(skolem_B1515) & r1(skolem_C1616)))))
% 9.76/3.95 -> [534] ~q1(f(skolem_C1616))
% 9.76/3.95
% 9.76/3.95 [534] CLOSURE : ~q1(f(skolem_C1616))
% 9.76/3.95
% 9.76/3.95 [538] BETA_NOT_AND : ~(p1(f(skolem_C1616)) & (r1(skolem_C1616) => (r1(skolem_B1515) & r1(skolem_C1616))))
% 9.76/3.95 -> [653] ~p1(f(skolem_C1616))
% 9.76/3.95 -> [654] ~(r1(skolem_C1616) => (r1(skolem_B1515) & r1(skolem_C1616)))
% 9.76/3.95
% 9.76/3.95 [654] ALPHA_NOT_IMPLY : ~(r1(skolem_C1616) => (r1(skolem_B1515) & r1(skolem_C1616)))
% 9.76/3.95 -> [655] r1(skolem_C1616), ~(r1(skolem_B1515) & r1(skolem_C1616))
% 9.76/3.95
% 9.76/3.95 [655] BETA_NOT_AND : ~(r1(skolem_B1515) & r1(skolem_C1616))
% 9.76/3.95 -> [663] ~r1(skolem_B1515)
% 9.76/3.95 -> [664] ~r1(skolem_C1616)
% 9.76/3.95
% 9.76/3.95 [664] CLOSURE : ~r1(skolem_C1616)
% 9.76/3.95
% 9.76/3.95 [663] : ! [Z17_17] : (q1(f(Z17_17)))
% 9.76/3.95 -> [671] ! [Z17_17] : (q1(f(Z17_17)))
% 9.76/3.95
% 9.76/3.95 [671] GAMMA_FORALL : ! [Z17_17] : (q1(f(Z17_17)))
% 9.76/3.95 -> [672] q1(f(Z17_2_0))
% 9.76/3.95
% 9.76/3.95 [672] GAMMA_FORALL : ~? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(skolem_B1515) & r1(skolem_C1616))))) & q1(X18_18)))
% 9.76/3.95 -> [682] ~? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(skolem_B1515) & r1(skolem_C1616))))) & q1(X18_18)))
% 9.76/3.95
% 9.76/3.95 [682] GAMMA_NOT_EXISTS : ~? [X18_18, Y19_19] : (((p1(f(Y19_19)) => (p1(X18_18) & (r1(Y19_19) => (r1(skolem_B1515) & r1(skolem_C1616))))) & q1(X18_18)))
% 9.76/3.95 -> [683] ~((p1(f(skolem_B1515)) => (p1(f(skolem_C1616)) & (r1(skolem_B1515) => (r1(skolem_B1515) & r1(skolem_C1616))))) & q1(f(skolem_C1616)))
% 9.76/3.95
% 9.76/3.95 [683] BETA_NOT_AND : ~((p1(f(skolem_B1515)) => (p1(f(skolem_C1616)) & (r1(skolem_B1515) => (r1(skolem_B1515) & r1(skolem_C1616))))) & q1(f(skolem_C1616)))
% 9.76/3.95 -> [684] ~(p1(f(skolem_B1515)) => (p1(f(skolem_C1616)) & (r1(skolem_B1515) => (r1(skolem_B1515) & r1(skolem_C1616)))))
% 9.76/3.95 -> [685] ~q1(f(skolem_C1616))
% 9.76/3.95
% 9.76/3.95 [685] CLOSURE : ~q1(f(skolem_C1616))
% 9.76/3.95
% 9.76/3.95 [686] BETA_NOT_AND : ~(p1(f(skolem_C1616)) & (r1(skolem_B1515) => (r1(skolem_B1515) & r1(skolem_C1616))))
% 9.76/3.95 -> [714] ~p1(f(skolem_C1616))
% 9.76/3.95 -> [715] ~(r1(skolem_B1515) => (r1(skolem_B1515) & r1(skolem_C1616)))
% 9.76/3.95
% 9.76/3.95 [715] ALPHA_NOT_IMPLY : ~(r1(skolem_B1515) => (r1(skolem_B1515) & r1(skolem_C1616)))
% 9.76/3.95 -> [718] r1(skolem_B1515), ~(r1(skolem_B1515) & r1(skolem_C1616))
% 9.76/3.95
% 9.76/3.95 [718] CLOSURE : r1(skolem_B1515)
% 9.76/3.95
% 9.76/3.95 [714] CLOSURE : ~p1(f(skolem_C1616))
% 9.76/3.95
% 9.76/3.95 [653] CLOSURE : ~p1(f(skolem_C1616))
% 9.76/3.95
% 9.76/3.95 [502] DELTA_NOT_FORALL : ~! [C10_10, B11_11] : ((! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(B11_11) & r1(C10_10)))) & q1(X13_13)))))
% 9.76/3.95 -> [514] ~(! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(skolem_B1111) & r1(skolem_C1010)))) & q1(X13_13))))
% 9.76/3.95
% 9.76/3.95 [514] ALPHA_NOT_IMPLY : ~(! [Z12_12] : (q1(f(Z12_12))) => ? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(skolem_B1111) & r1(skolem_C1010)))) & q1(X13_13))))
% 9.76/3.95 -> [516] ! [Z12_12] : (q1(f(Z12_12))), ~? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(skolem_B1111) & r1(skolem_C1010)))) & q1(X13_13)))
% 9.76/3.95
% 9.76/3.95 [516] GAMMA_FORALL : ! [Z12_12] : (q1(f(Z12_12)))
% 9.76/3.95 -> [522] q1(f(skolem_C1010))
% 9.76/3.95
% 9.76/3.95 [522] GAMMA_NOT_EXISTS : ~? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(skolem_B1111) & r1(skolem_C1010)))) & q1(X13_13)))
% 9.76/3.95 -> [523] ~(((p1(f(skolem_C1010)) => p1(f(skolem_C1010))) & (r1(skolem_C1010) => (r1(skolem_B1111) & r1(skolem_C1010)))) & q1(f(skolem_C1010)))
% 9.76/3.95
% 9.76/3.95 [523] BETA_NOT_AND : ~(((p1(f(skolem_C1010)) => p1(f(skolem_C1010))) & (r1(skolem_C1010) => (r1(skolem_B1111) & r1(skolem_C1010)))) & q1(f(skolem_C1010)))
% 9.76/3.95 -> [524] ~((p1(f(skolem_C1010)) => p1(f(skolem_C1010))) & (r1(skolem_C1010) => (r1(skolem_B1111) & r1(skolem_C1010))))
% 9.76/3.95 -> [525] ~q1(f(skolem_C1010))
% 9.76/3.95
% 9.76/3.95 [525] CLOSURE : ~q1(f(skolem_C1010))
% 9.76/3.95
% 9.76/3.95 [524] BETA_NOT_AND : ~((p1(f(skolem_C1010)) => p1(f(skolem_C1010))) & (r1(skolem_C1010) => (r1(skolem_B1111) & r1(skolem_C1010))))
% 9.76/3.95 -> [691] ~(p1(f(skolem_C1010)) => p1(f(skolem_C1010)))
% 9.76/3.95 -> [692] ~(r1(skolem_C1010) => (r1(skolem_B1111) & r1(skolem_C1010)))
% 9.76/3.95
% 9.76/3.95 [692] ALPHA_NOT_IMPLY : ~(r1(skolem_C1010) => (r1(skolem_B1111) & r1(skolem_C1010)))
% 9.76/3.95 -> [694] r1(skolem_C1010), ~(r1(skolem_B1111) & r1(skolem_C1010))
% 9.76/3.95
% 9.76/3.95 [694] BETA_NOT_AND : ~(r1(skolem_B1111) & r1(skolem_C1010))
% 9.76/3.95 -> [696] ~r1(skolem_B1111)
% 9.76/3.95 -> [697] ~r1(skolem_C1010)
% 9.76/3.95
% 9.76/3.95 [697] CLOSURE : ~r1(skolem_C1010)
% 9.76/3.95
% 9.76/3.95 [696] : ! [Z12_12] : (q1(f(Z12_12)))
% 9.76/3.95 -> [703] ! [Z12_12] : (q1(f(Z12_12)))
% 9.76/3.95
% 9.76/3.95 [703] GAMMA_FORALL : ! [Z12_12] : (q1(f(Z12_12)))
% 9.76/3.95 -> [704] q1(f(skolem_B1111))
% 9.76/3.95
% 9.76/3.95 [704] GAMMA_FORALL : ~? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(skolem_B1111) & r1(skolem_C1010)))) & q1(X13_13)))
% 9.76/3.95 -> [708] ~? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(skolem_B1111) & r1(skolem_C1010)))) & q1(X13_13)))
% 9.76/3.95
% 9.76/3.95 [708] GAMMA_NOT_EXISTS : ~? [X13_13, Y14_14] : ((((p1(f(Y14_14)) => p1(X13_13)) & (r1(Y14_14) => (r1(skolem_B1111) & r1(skolem_C1010)))) & q1(X13_13)))
% 9.76/3.95 -> [709] ~(((p1(f(skolem_B1111)) => p1(f(skolem_B1111))) & (r1(skolem_B1111) => (r1(skolem_B1111) & r1(skolem_C1010)))) & q1(f(skolem_B1111)))
% 9.76/3.95
% 9.76/3.95 [709] BETA_NOT_AND : ~(((p1(f(skolem_B1111)) => p1(f(skolem_B1111))) & (r1(skolem_B1111) => (r1(skolem_B1111) & r1(skolem_C1010)))) & q1(f(skolem_B1111)))
% 9.76/3.95 -> [710] ~((p1(f(skolem_B1111)) => p1(f(skolem_B1111))) & (r1(skolem_B1111) => (r1(skolem_B1111) & r1(skolem_C1010))))
% 9.76/3.95 -> [711] ~q1(f(skolem_B1111))
% 9.76/3.95
% 9.76/3.95 [711] CLOSURE : ~q1(f(skolem_B1111))
% 9.76/3.95
% 9.76/3.95 [710] BETA_NOT_AND : ~((p1(f(skolem_B1111)) => p1(f(skolem_B1111))) & (r1(skolem_B1111) => (r1(skolem_B1111) & r1(skolem_C1010))))
% 9.76/3.95 -> [732] ~(p1(f(skolem_B1111)) => p1(f(skolem_B1111)))
% 9.76/3.95 -> [733] ~(r1(skolem_B1111) => (r1(skolem_B1111) & r1(skolem_C1010)))
% 9.76/3.95
% 9.76/3.95 [732] ALPHA_NOT_IMPLY : ~(p1(f(skolem_B1111)) => p1(f(skolem_B1111)))
% 9.76/3.95 -> [735] p1(f(skolem_B1111)), ~p1(f(skolem_B1111))
% 9.76/3.95
% 9.76/3.95 [735] CLOSURE : ~p1(f(skolem_B1111))
% 9.76/3.95
% 9.76/3.95 [734] CLOSURE : r1(skolem_B1111)
% 9.76/3.95
% 9.76/3.95 [693] CLOSURE : ~p1(f(skolem_C1010))
% 9.76/3.95
% 9.76/3.95 [474] DELTA_NOT_FORALL : ~! [A27_27] : (? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(A27_27) & e(A27_27)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(A27_27, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31))))))
% 9.76/3.95 -> [475] ~? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(skolem_A2727) & e(skolem_A2727)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(skolem_A2727, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31)))))
% 9.76/3.95
% 9.76/3.95 [475] GAMMA_NOT_EXISTS : ~? [X28_28, X229_29, X330_30, X431_31, Y32_32] : ((((((p1(skolem_A2727) & e(skolem_A2727)) & (e(X28_28) => (g(X28_28) | s(X28_28, f(X28_28))))) & (e(X229_29) => (g(X229_29) | c(f(X229_29))))) & (s(skolem_A2727, Y32_32) => p1(Y32_32))) => ((p1(X330_30) & g(X330_30)) | (p1(X431_31) & c(X431_31)))))
% 9.76/3.95 -> [479] ~(((((p1(skolem_A2727) & e(skolem_A2727)) & (e(skolem_A2727) => (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727))))) & (e(skolem_A2727) => (g(skolem_A2727) | c(f(skolem_A2727))))) & (s(skolem_A2727, f(skolem_A2727)) => p1(f(skolem_A2727)))) => ((p1(skolem_A2727) & g(skolem_A2727)) | (p1(skolem_A2727) & c(skolem_A2727))))
% 9.76/3.95
% 9.76/3.95 [479] ALPHA_NOT_IMPLY : ~(((((p1(skolem_A2727) & e(skolem_A2727)) & (e(skolem_A2727) => (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727))))) & (e(skolem_A2727) => (g(skolem_A2727) | c(f(skolem_A2727))))) & (s(skolem_A2727, f(skolem_A2727)) => p1(f(skolem_A2727)))) => ((p1(skolem_A2727) & g(skolem_A2727)) | (p1(skolem_A2727) & c(skolem_A2727))))
% 9.76/3.95 -> [485] ((((p1(skolem_A2727) & e(skolem_A2727)) & (e(skolem_A2727) => (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727))))) & (e(skolem_A2727) => (g(skolem_A2727) | c(f(skolem_A2727))))) & (s(skolem_A2727, f(skolem_A2727)) => p1(f(skolem_A2727)))), ~((p1(skolem_A2727) & g(skolem_A2727)) | (p1(skolem_A2727) & c(skolem_A2727)))
% 9.76/3.95
% 9.76/3.95 [485] ALPHA_AND : ((((p1(skolem_A2727) & e(skolem_A2727)) & (e(skolem_A2727) => (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727))))) & (e(skolem_A2727) => (g(skolem_A2727) | c(f(skolem_A2727))))) & (s(skolem_A2727, f(skolem_A2727)) => p1(f(skolem_A2727))))
% 9.76/3.95 -> [498] (((p1(skolem_A2727) & e(skolem_A2727)) & (e(skolem_A2727) => (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727))))) & (e(skolem_A2727) => (g(skolem_A2727) | c(f(skolem_A2727))))), (s(skolem_A2727, f(skolem_A2727)) => p1(f(skolem_A2727)))
% 9.76/3.95
% 9.76/3.95 [498] ALPHA_NOT_OR : ~((p1(skolem_A2727) & g(skolem_A2727)) | (p1(skolem_A2727) & c(skolem_A2727)))
% 9.76/3.95 -> [499] ~(p1(skolem_A2727) & g(skolem_A2727)), ~(p1(skolem_A2727) & c(skolem_A2727))
% 9.76/3.95
% 9.76/3.95 [499] ALPHA_AND : (((p1(skolem_A2727) & e(skolem_A2727)) & (e(skolem_A2727) => (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727))))) & (e(skolem_A2727) => (g(skolem_A2727) | c(f(skolem_A2727)))))
% 9.76/3.95 -> [501] ((p1(skolem_A2727) & e(skolem_A2727)) & (e(skolem_A2727) => (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727))))), (e(skolem_A2727) => (g(skolem_A2727) | c(f(skolem_A2727))))
% 9.76/3.95
% 9.76/3.95 [501] ALPHA_AND : ((p1(skolem_A2727) & e(skolem_A2727)) & (e(skolem_A2727) => (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727)))))
% 9.76/3.95 -> [505] (p1(skolem_A2727) & e(skolem_A2727)), (e(skolem_A2727) => (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727))))
% 9.76/3.95
% 9.76/3.95 [505] ALPHA_AND : (p1(skolem_A2727) & e(skolem_A2727))
% 9.76/3.95 -> [510] p1(skolem_A2727), e(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [510] BETA_IMPLY : (s(skolem_A2727, f(skolem_A2727)) => p1(f(skolem_A2727)))
% 9.76/3.95 -> [541] ~s(skolem_A2727, f(skolem_A2727))
% 9.76/3.95 -> [542] p1(f(skolem_A2727))
% 9.76/3.95
% 9.76/3.95 [541] BETA_NOT_AND : ~(p1(skolem_A2727) & g(skolem_A2727))
% 9.76/3.95 -> [548] ~p1(skolem_A2727)
% 9.76/3.95 -> [549] ~g(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [549] BETA_NOT_AND : ~(p1(skolem_A2727) & c(skolem_A2727))
% 9.76/3.95 -> [563] ~p1(skolem_A2727)
% 9.76/3.95 -> [564] ~c(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [563] CLOSURE : ~p1(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [564] BETA_IMPLY : (e(skolem_A2727) => (g(skolem_A2727) | c(f(skolem_A2727))))
% 9.76/3.95 -> [665] ~e(skolem_A2727)
% 9.76/3.95 -> [666] (g(skolem_A2727) | c(f(skolem_A2727)))
% 9.76/3.95
% 9.76/3.95 [665] CLOSURE : ~e(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [666] BETA_IMPLY : (e(skolem_A2727) => (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727))))
% 9.76/3.95 -> [738] ~e(skolem_A2727)
% 9.76/3.95 -> [739] (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727)))
% 9.76/3.95
% 9.76/3.95 [738] CLOSURE : ~e(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [739] BETA_OR : (g(skolem_A2727) | c(f(skolem_A2727)))
% 9.76/3.95 -> [762] g(skolem_A2727)
% 9.76/3.95 -> [763] c(f(skolem_A2727))
% 9.76/3.95
% 9.76/3.95 [762] CLOSURE : g(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [763] BETA_OR : (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727)))
% 9.76/3.95 -> [772] g(skolem_A2727)
% 9.76/3.95 -> [773] s(skolem_A2727, f(skolem_A2727))
% 9.76/3.95
% 9.76/3.95 [772] CLOSURE : g(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [773] CLOSURE : s(skolem_A2727, f(skolem_A2727))
% 9.76/3.95
% 9.76/3.95 [548] CLOSURE : ~p1(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [542] BETA_NOT_AND : ~(p1(skolem_A2727) & g(skolem_A2727))
% 9.76/3.95 -> [550] ~p1(skolem_A2727)
% 9.76/3.95 -> [551] ~g(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [550] CLOSURE : ~p1(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [551] BETA_NOT_AND : ~(p1(skolem_A2727) & c(skolem_A2727))
% 9.76/3.95 -> [721] ~p1(skolem_A2727)
% 9.76/3.95 -> [722] ~c(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [721] CLOSURE : ~p1(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [722] BETA_IMPLY : (e(skolem_A2727) => (g(skolem_A2727) | c(f(skolem_A2727))))
% 9.76/3.95 -> [744] ~e(skolem_A2727)
% 9.76/3.95 -> [745] (g(skolem_A2727) | c(f(skolem_A2727)))
% 9.76/3.95
% 9.76/3.95 [745] BETA_IMPLY : (e(skolem_A2727) => (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727))))
% 9.76/3.95 -> [746] ~e(skolem_A2727)
% 9.76/3.95 -> [747] (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727)))
% 9.76/3.95
% 9.76/3.95 [747] BETA_OR : (g(skolem_A2727) | c(f(skolem_A2727)))
% 9.76/3.95 -> [748] g(skolem_A2727)
% 9.76/3.95 -> [749] c(f(skolem_A2727))
% 9.76/3.95
% 9.76/3.95 [749] BETA_OR : (g(skolem_A2727) | s(skolem_A2727, f(skolem_A2727)))
% 9.76/3.95 -> [750] g(skolem_A2727)
% 9.76/3.95 -> [751] s(skolem_A2727, f(skolem_A2727))
% 9.76/3.95
% 9.76/3.95 [750] CLOSURE : g(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [761] BETA_IMPLY : (s(skolem_A2727, f(skolem_A2727)) => p1(f(skolem_A2727)))
% 9.76/3.95 -> [780] ~s(skolem_A2727, f(skolem_A2727))
% 9.76/3.95 -> [781] p1(f(skolem_A2727))
% 9.76/3.95
% 9.76/3.95 [780] CLOSURE : ~s(skolem_A2727, f(skolem_A2727))
% 9.76/3.95
% 9.76/3.95 [781] BETA_NOT_AND : ~(p1(skolem_A2727) & g(skolem_A2727))
% 9.76/3.95 -> [786] ~p1(skolem_A2727)
% 9.76/3.95 -> [787] ~g(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [787] BETA_NOT_AND : ~(p1(f(skolem_A2727)) & c(f(skolem_A2727)))
% 9.76/3.95 -> [788] ~p1(f(skolem_A2727))
% 9.76/3.95 -> [789] ~c(f(skolem_A2727))
% 9.76/3.95
% 9.76/3.95 [789] CLOSURE : ~c(f(skolem_A2727))
% 9.76/3.95
% 9.76/3.95 [788] CLOSURE : ~p1(f(skolem_A2727))
% 9.76/3.95
% 9.76/3.95 [786] CLOSURE : ~p1(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [748] CLOSURE : g(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [746] CLOSURE : ~e(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 [744] CLOSURE : ~e(skolem_A2727)
% 9.76/3.95
% 9.76/3.95 % SZS output end Proof for theBenchmark.p
% 9.76/3.95 [3.606766s][1][Res] 3666 goroutines created
% 9.76/3.95 ==== Result ====
% 9.76/3.95 [3.606830s][1][Res] VALID
% 9.76/3.95 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------