TSTP Solution File: NUM584+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : NUM584+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 10:19:38 EDT 2022
% Result : Theorem 14.17s 9.75s
% Output : Proof 14.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM584+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Sep 2 12:13:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.37 Start search
% 0.12/0.38 nb_step : 1 - limit : 160
% 0.12/0.38 Launch Gotab with destructive = true
% 14.03/9.71 % SZS output start Proof for theBenchmark.p
% 14.17/9.75 [0] ALPHA_AND : (! [W07_7] : ((aSet0(W07_7) => $true)) & ! [W08_8] : ((aElement0(W08_8) => $true)) & ! [W09_9] : ((aSet0(W09_9) => ! [W110_10] : ((aElementOf0(W110_10, W09_9) => aElement0(W110_10))))) & ! [W011_11] : ((aSet0(W011_11) => (isFinite0(W011_11) => $true))) & ! [W012_12] : ((=(W012_12, slcrc0) <=> (aSet0(W012_12) & ~? [W113_13] : (aElementOf0(W113_13, W012_12))))) & isFinite0(slcrc0) & ! [W014_14] : ((aSet0(W014_14) => (isCountable0(W014_14) => $true))) & ! [W015_15] : (((aSet0(W015_15) & isCountable0(W015_15)) => ~isFinite0(W015_15))) & ! [W016_16] : (((aSet0(W016_16) & isCountable0(W016_16)) => ~=(W016_16, slcrc0))) & ! [W017_17] : ((aSet0(W017_17) => ! [W118_18] : ((aSubsetOf0(W118_18, W017_17) <=> (aSet0(W118_18) & ! [W219_19] : ((aElementOf0(W219_19, W118_18) => aElementOf0(W219_19, W017_17)))))))) & ! [W020_20] : (((aSet0(W020_20) & isFinite0(W020_20)) => ! [W121_21] : ((aSubsetOf0(W121_21, W020_20) => isFinite0(W121_21))))) & ! [W022_22] : ((aSet0(W022_22) => aSubsetOf0(W022_22, W022_22))) & ! [W023_23, W124_24] : (((aSet0(W023_23) & aSet0(W124_24)) => ((aSubsetOf0(W023_23, W124_24) & aSubsetOf0(W124_24, W023_23)) => =(W023_23, W124_24)))) & ! [W025_25, W126_26, W227_27] : ((((aSet0(W025_25) & aSet0(W126_26)) & aSet0(W227_27)) => ((aSubsetOf0(W025_25, W126_26) & aSubsetOf0(W126_26, W227_27)) => aSubsetOf0(W025_25, W227_27)))) & ! [W028_28, W129_29] : (((aSet0(W028_28) & aElement0(W129_29)) => ! [W230_30] : ((=(W230_30, sdtpldt0(W028_28, W129_29)) <=> (aSet0(W230_30) & ! [W331_31] : ((aElementOf0(W331_31, W230_30) <=> (aElement0(W331_31) & (aElementOf0(W331_31, W028_28) | =(W331_31, W129_29)))))))))) & ! [W032_32, W133_33] : (((aSet0(W032_32) & aElement0(W133_33)) => ! [W234_34] : ((=(W234_34, sdtmndt0(W032_32, W133_33)) <=> (aSet0(W234_34) & ! [W335_35] : ((aElementOf0(W335_35, W234_34) <=> ((aElement0(W335_35) & aElementOf0(W335_35, W032_32)) & ~=(W335_35, W133_33))))))))) & ! [W036_36] : ((aSet0(W036_36) => ! [W137_37] : ((aElementOf0(W137_37, W036_36) => =(sdtpldt0(sdtmndt0(W036_36, W137_37), W137_37), W036_36))))) & ! [W038_38, W139_39] : (((aElement0(W038_38) & aSet0(W139_39)) => (~aElementOf0(W038_38, W139_39) => =(sdtmndt0(sdtpldt0(W139_39, W038_38), W038_38), W139_39)))) & ! [W040_40] : ((aElement0(W040_40) => ! [W141_41] : (((aSet0(W141_41) & isCountable0(W141_41)) => isCountable0(sdtpldt0(W141_41, W040_40)))))) & ! [W042_42] : ((aElement0(W042_42) => ! [W143_43] : (((aSet0(W143_43) & isCountable0(W143_43)) => isCountable0(sdtmndt0(W143_43, W042_42)))))) & ! [W044_44] : ((aElement0(W044_44) => ! [W145_45] : (((aSet0(W145_45) & isFinite0(W145_45)) => isFinite0(sdtpldt0(W145_45, W044_44)))))) & ! [W046_46] : ((aElement0(W046_46) => ! [W147_47] : (((aSet0(W147_47) & isFinite0(W147_47)) => isFinite0(sdtmndt0(W147_47, W046_46)))))) & (aSet0(szNzAzT0) & isCountable0(szNzAzT0)) & aElementOf0(sz00, szNzAzT0) & ! [W048_48] : ((aElementOf0(W048_48, szNzAzT0) => (aElementOf0(szszuzczcdt0(W048_48), szNzAzT0) & ~=(szszuzczcdt0(W048_48), sz00)))) & ! [W049_49, W150_50] : (((aElementOf0(W049_49, szNzAzT0) & aElementOf0(W150_50, szNzAzT0)) => (=(szszuzczcdt0(W049_49), szszuzczcdt0(W150_50)) => =(W049_49, W150_50)))) & ! [W051_51] : ((aElementOf0(W051_51, szNzAzT0) => (=(W051_51, sz00) | ? [W152_52] : ((aElementOf0(W152_52, szNzAzT0) & =(W051_51, szszuzczcdt0(W152_52))))))) & ! [W053_53] : ((aElementOf0(W053_53, szNzAzT0) => ~=(W053_53, szszuzczcdt0(W053_53)))) & ! [W054_54, W155_55] : (((aElementOf0(W054_54, szNzAzT0) & aElementOf0(W155_55, szNzAzT0)) => (sdtlseqdt0(W054_54, W155_55) => $true))) & ! [W056_56] : ((aElementOf0(W056_56, szNzAzT0) => sdtlseqdt0(sz00, W056_56))) & ! [W057_57] : ((aElementOf0(W057_57, szNzAzT0) => ~sdtlseqdt0(szszuzczcdt0(W057_57), sz00))) & ! [W058_58, W159_59] : (((aElementOf0(W058_58, szNzAzT0) & aElementOf0(W159_59, szNzAzT0)) => (sdtlseqdt0(W058_58, W159_59) <=> sdtlseqdt0(szszuzczcdt0(W058_58), szszuzczcdt0(W159_59))))) & ! [W060_60] : ((aElementOf0(W060_60, szNzAzT0) => sdtlseqdt0(W060_60, szszuzczcdt0(W060_60)))) & ! [W061_61] : ((aElementOf0(W061_61, szNzAzT0) => sdtlseqdt0(W061_61, W061_61))) & ! [W062_62, W163_63] : (((aElementOf0(W062_62, szNzAzT0) & aElementOf0(W163_63, szNzAzT0)) => ((sdtlseqdt0(W062_62, W163_63) & sdtlseqdt0(W163_63, W062_62)) => =(W062_62, W163_63)))) & ! [W064_64, W165_65, W266_66] : ((((aElementOf0(W064_64, szNzAzT0) & aElementOf0(W165_65, szNzAzT0)) & aElementOf0(W266_66, szNzAzT0)) => ((sdtlseqdt0(W064_64, W165_65) & sdtlseqdt0(W165_65, W266_66)) => sdtlseqdt0(W064_64, W266_66)))) & ! [W067_67, W168_68] : (((aElementOf0(W067_67, szNzAzT0) & aElementOf0(W168_68, szNzAzT0)) => (sdtlseqdt0(W067_67, W168_68) | sdtlseqdt0(szszuzczcdt0(W168_68), W067_67)))) & ! [W069_69, W170_70] : (((aElementOf0(W069_69, szNzAzT0) & aElementOf0(W170_70, szNzAzT0)) => (iLess0(W069_69, W170_70) => $true))) & ! [W071_71] : ((aElementOf0(W071_71, szNzAzT0) => iLess0(W071_71, szszuzczcdt0(W071_71)))) & ! [W072_72] : ((aSet0(W072_72) => aElement0(sbrdtbr0(W072_72)))) & ! [W073_73] : ((aSet0(W073_73) => (aElementOf0(sbrdtbr0(W073_73), szNzAzT0) <=> isFinite0(W073_73)))) & ! [W074_74] : ((aSet0(W074_74) => (=(sbrdtbr0(W074_74), sz00) <=> =(W074_74, slcrc0)))) & ! [W075_75] : (((aSet0(W075_75) & isFinite0(W075_75)) => ! [W176_76] : ((aElement0(W176_76) => (~aElementOf0(W176_76, W075_75) => =(sbrdtbr0(sdtpldt0(W075_75, W176_76)), szszuzczcdt0(sbrdtbr0(W075_75)))))))) & ! [W077_77] : ((aSet0(W077_77) => ! [W178_78] : (((isFinite0(W077_77) & aElementOf0(W178_78, W077_77)) => =(szszuzczcdt0(sbrdtbr0(sdtmndt0(W077_77, W178_78))), sbrdtbr0(W077_77)))))) & ! [W079_79] : ((aSet0(W079_79) => ! [W180_80] : (((isFinite0(W079_79) & aSubsetOf0(W180_80, W079_79)) => sdtlseqdt0(sbrdtbr0(W180_80), sbrdtbr0(W079_79)))))) & ! [W081_81, W182_82] : (((aSet0(W081_81) & aElementOf0(W182_82, szNzAzT0)) => ((isFinite0(W081_81) & sdtlseqdt0(W182_82, sbrdtbr0(W081_81))) => ? [W283_83] : ((aSubsetOf0(W283_83, W081_81) & =(sbrdtbr0(W283_83), W182_82)))))) & ! [W084_84] : (((aSubsetOf0(W084_84, szNzAzT0) & ~=(W084_84, slcrc0)) => ! [W185_85] : ((=(W185_85, szmzizndt0(W084_84)) <=> (aElementOf0(W185_85, W084_84) & ! [W286_86] : ((aElementOf0(W286_86, W084_84) => sdtlseqdt0(W185_85, W286_86)))))))) & ! [W087_87] : ((((aSubsetOf0(W087_87, szNzAzT0) & isFinite0(W087_87)) & ~=(W087_87, slcrc0)) => ! [W188_88] : ((=(W188_88, szmzazxdt0(W087_87)) <=> (aElementOf0(W188_88, W087_87) & ! [W289_89] : ((aElementOf0(W289_89, W087_87) => sdtlseqdt0(W289_89, W188_88)))))))) & ! [W090_90, W191_91] : (((((aSubsetOf0(W090_90, szNzAzT0) & aSubsetOf0(W191_91, szNzAzT0)) & ~=(W090_90, slcrc0)) & ~=(W191_91, slcrc0)) => ((aElementOf0(szmzizndt0(W090_90), W191_91) & aElementOf0(szmzizndt0(W191_91), W090_90)) => =(szmzizndt0(W090_90), szmzizndt0(W191_91))))) & ! [W092_92] : ((aElementOf0(W092_92, szNzAzT0) => ! [W193_93] : ((=(W193_93, slbdtrb0(W092_92)) <=> (aSet0(W193_93) & ! [W294_94] : ((aElementOf0(W294_94, W193_93) <=> (aElementOf0(W294_94, szNzAzT0) & sdtlseqdt0(szszuzczcdt0(W294_94), W092_92))))))))) & ! [W095_95] : ((aElementOf0(W095_95, szNzAzT0) => isFinite0(slbdtrb0(W095_95)))) & =(slbdtrb0(sz00), slcrc0) & ! [W096_96, W197_97] : (((aElementOf0(W096_96, szNzAzT0) & aElementOf0(W197_97, szNzAzT0)) => (aElementOf0(W096_96, slbdtrb0(szszuzczcdt0(W197_97))) <=> (aElementOf0(W096_96, slbdtrb0(W197_97)) | =(W096_96, W197_97))))) & ! [W098_98, W199_99] : (((aElementOf0(W098_98, szNzAzT0) & aElementOf0(W199_99, szNzAzT0)) => (sdtlseqdt0(W098_98, W199_99) <=> aSubsetOf0(slbdtrb0(W098_98), slbdtrb0(W199_99))))) & ! [W0100_100] : (((aSubsetOf0(W0100_100, szNzAzT0) & isFinite0(W0100_100)) => ? [W1101_101] : ((aElementOf0(W1101_101, szNzAzT0) & aSubsetOf0(W0100_100, slbdtrb0(W1101_101)))))) & ! [W0102_102] : ((aElementOf0(W0102_102, szNzAzT0) => =(sbrdtbr0(slbdtrb0(W0102_102)), W0102_102))) & ! [W0103_103, W1104_104] : (((aSet0(W0103_103) & aElementOf0(W1104_104, szNzAzT0)) => ! [W2105_105] : ((=(W2105_105, slbdtsldtrb0(W0103_103, W1104_104)) <=> (aSet0(W2105_105) & ! [W3106_106] : ((aElementOf0(W3106_106, W2105_105) <=> (aSubsetOf0(W3106_106, W0103_103) & =(sbrdtbr0(W3106_106), W1104_104))))))))) & ! [W0107_107] : (((aSet0(W0107_107) & isFinite0(W0107_107)) => ! [W1108_108] : ((aElementOf0(W1108_108, szNzAzT0) => isFinite0(slbdtsldtrb0(W0107_107, W1108_108)))))) & ! [W0109_109] : (((aSet0(W0109_109) & ~isFinite0(W0109_109)) => ! [W1110_110] : ((aElementOf0(W1110_110, szNzAzT0) => ~=(slbdtsldtrb0(W0109_109, W1110_110), slcrc0))))) & ! [W0111_111] : (((aSet0(W0111_111) & isCountable0(W0111_111)) => ! [W1112_112] : (((aElementOf0(W1112_112, szNzAzT0) & ~=(W1112_112, sz00)) => isCountable0(slbdtsldtrb0(W0111_111, W1112_112)))))) & ! [W0113_113] : ((aElementOf0(W0113_113, szNzAzT0) => ! [W1114_114, W2115_115] : ((((aSet0(W1114_114) & aSet0(W2115_115)) & ~=(W0113_113, sz00)) => ((aSubsetOf0(slbdtsldtrb0(W1114_114, W0113_113), slbdtsldtrb0(W2115_115, W0113_113)) & ~=(slbdtsldtrb0(W1114_114, W0113_113), slcrc0)) => aSubsetOf0(W1114_114, W2115_115)))))) & ! [W0116_116, W1117_117] : (((aSet0(W0116_116) & aElementOf0(W1117_117, szNzAzT0)) => ! [W2118_118] : (((aSubsetOf0(W2118_118, slbdtsldtrb0(W0116_116, W1117_117)) & isFinite0(W2118_118)) => ? [W3119_119] : (((aSubsetOf0(W3119_119, W0116_116) & isFinite0(W3119_119)) & aSubsetOf0(W2118_118, slbdtsldtrb0(W3119_119, W1117_117)))))))) & ! [W0120_120] : ((aFunction0(W0120_120) => $true)) & ! [W0121_121] : ((aFunction0(W0121_121) => aSet0(szDzozmdt0(W0121_121)))) & ! [W0122_122] : ((aFunction0(W0122_122) => ! [W1123_123] : ((aElementOf0(W1123_123, szDzozmdt0(W0122_122)) => aElement0(sdtlpdtrp0(W0122_122, W1123_123)))))) & ! [W0124_124, W1125_125] : (((aFunction0(W0124_124) & aElement0(W1125_125)) => ! [W2126_126] : ((=(W2126_126, sdtlbdtrb0(W0124_124, W1125_125)) <=> (aSet0(W2126_126) & ! [W3127_127] : ((aElementOf0(W3127_127, W2126_126) <=> (aElementOf0(W3127_127, szDzozmdt0(W0124_124)) & =(sdtlpdtrp0(W0124_124, W3127_127), W1125_125))))))))) & ! [W0128_128, W1129_129] : (((aFunction0(W0128_128) & aElement0(W1129_129)) => aSubsetOf0(sdtlbdtrb0(W0128_128, W1129_129), szDzozmdt0(W0128_128)))) & ! [W0130_130] : ((aFunction0(W0130_130) => ! [W1131_131] : ((aSubsetOf0(W1131_131, szDzozmdt0(W0130_130)) => ! [W2132_132] : ((=(W2132_132, sdtlcdtrc0(W0130_130, W1131_131)) <=> (aSet0(W2132_132) & ! [W3133_133] : ((aElementOf0(W3133_133, W2132_132) <=> ? [W4134_134] : ((aElementOf0(W4134_134, W1131_131) & =(sdtlpdtrp0(W0130_130, W4134_134), W3133_133)))))))))))) & ! [W0135_135] : ((aFunction0(W0135_135) => ! [W1136_136] : ((aElementOf0(W1136_136, szDzozmdt0(W0135_135)) => aElementOf0(sdtlpdtrp0(W0135_135, W1136_136), sdtlcdtrc0(W0135_135, szDzozmdt0(W0135_135))))))) & ! [W0137_137] : ((aFunction0(W0137_137) => ! [W1138_138] : ((aSubsetOf0(W1138_138, szDzozmdt0(W0137_137)) => ! [W2139_139] : ((=(W2139_139, sdtexdt0(W0137_137, W1138_138)) <=> ((aFunction0(W2139_139) & =(szDzozmdt0(W2139_139), W1138_138)) & ! [W3140_140] : ((aElementOf0(W3140_140, W1138_138) => =(sdtlpdtrp0(W2139_139, W3140_140), sdtlpdtrp0(W0137_137, W3140_140))))))))))) & ! [W0141_141] : ((aFunction0(W0141_141) => ! [W1142_142] : (((aSubsetOf0(W1142_142, szDzozmdt0(W0141_141)) & isCountable0(W1142_142)) => (! [W2143_143, W3144_144] : ((((aElementOf0(W2143_143, szDzozmdt0(W0141_141)) & aElementOf0(W3144_144, szDzozmdt0(W0141_141))) & ~=(W2143_143, W3144_144)) => ~=(sdtlpdtrp0(W0141_141, W2143_143), sdtlpdtrp0(W0141_141, W3144_144)))) => isCountable0(sdtlcdtrc0(W0141_141, W1142_142))))))) & ! [W0145_145] : ((aFunction0(W0145_145) => ((isCountable0(szDzozmdt0(W0145_145)) & isFinite0(sdtlcdtrc0(W0145_145, szDzozmdt0(W0145_145)))) => (aElement0(szDzizrdt0(W0145_145)) & isCountable0(sdtlbdtrb0(W0145_145, szDzizrdt0(W0145_145))))))) & (aSet0(xT) & isFinite0(xT)) & aElementOf0(xK, szNzAzT0) & (((aSet0(xS) & ! [W0146_146] : ((aElementOf0(W0146_146, xS) => aElementOf0(W0146_146, szNzAzT0)))) & aSubsetOf0(xS, szNzAzT0)) & isCountable0(xS)) & ((((((aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))) & aSet0(sdtlcdtrc0(xc, szDzozmdt0(xc)))) & ! [W0150_150] : ((aElementOf0(W0150_150, sdtlcdtrc0(xc, szDzozmdt0(xc))) <=> ? [W1151_151] : ((aElementOf0(W1151_151, szDzozmdt0(xc)) & =(sdtlpdtrp0(xc, W1151_151), W0150_150)))))) & ! [W0152_152] : ((aElementOf0(W0152_152, sdtlcdtrc0(xc, szDzozmdt0(xc))) => aElementOf0(W0152_152, xT)))) & aSubsetOf0(sdtlcdtrc0(xc, szDzozmdt0(xc)), xT)) & ! [W0153_153] : ((aElementOf0(W0153_153, szNzAzT0) => ! [W1154_154] : (((((aSet0(W1154_154) & ! [W2155_155] : ((aElementOf0(W2155_155, W1154_154) => aElementOf0(W2155_155, szNzAzT0)))) | aSubsetOf0(W1154_154, szNzAzT0)) & isCountable0(W1154_154)) => ! [W2156_156] : ((((aFunction0(W2156_156) & (! [W3157_157] : (((aElementOf0(W3157_157, szDzozmdt0(W2156_156)) => (((aSet0(W3157_157) & ! [W4158_158] : ((aElementOf0(W4158_158, W3157_157) => aElementOf0(W4158_158, W1154_154)))) | aSubsetOf0(W3157_157, W1154_154)) & =(sbrdtbr0(W3157_157), W0153_153))) & ((((aSet0(W3157_157) & ! [W4159_159] : ((aElementOf0(W4159_159, W3157_157) => aElementOf0(W4159_159, W1154_154)))) & aSubsetOf0(W3157_157, W1154_154)) & =(sbrdtbr0(W3157_157), W0153_153)) => aElementOf0(W3157_157, szDzozmdt0(W2156_156))))) | =(szDzozmdt0(W2156_156), slbdtsldtrb0(W1154_154, W0153_153)))) & ((aSet0(sdtlcdtrc0(W2156_156, szDzozmdt0(W2156_156))) & ! [W3160_160] : ((aElementOf0(W3160_160, sdtlcdtrc0(W2156_156, szDzozmdt0(W2156_156))) <=> ? [W4161_161] : ((aElementOf0(W4161_161, szDzozmdt0(W2156_156)) & =(sdtlpdtrp0(W2156_156, W4161_161), W3160_160)))))) => (! [W3162_162] : ((aElementOf0(W3162_162, sdtlcdtrc0(W2156_156, szDzozmdt0(W2156_156))) => aElementOf0(W3162_162, xT))) | aSubsetOf0(sdtlcdtrc0(W2156_156, szDzozmdt0(W2156_156)), xT)))) => (iLess0(W0153_153, xK) => ? [W3163_163] : ((aElementOf0(W3163_163, xT) & ? [W4164_164] : (((((aSet0(W4164_164) & ! [W5165_165] : ((aElementOf0(W5165_165, W4164_164) => aElementOf0(W5165_165, W1154_154)))) & aSubsetOf0(W4164_164, W1154_154)) & isCountable0(W4164_164)) & ! [W5166_166] : ((((((aSet0(W5166_166) & ! [W6167_167] : ((aElementOf0(W6167_167, W5166_166) => aElementOf0(W6167_167, W4164_164)))) | aSubsetOf0(W5166_166, W4164_164)) & =(sbrdtbr0(W5166_166), W0153_153)) | aElementOf0(W5166_166, slbdtsldtrb0(W4164_164, W0153_153))) => =(sdtlpdtrp0(W2156_156, W5166_166), W3163_163)))))))))))))) & ~=(xK, sz00) & ~=(xK, sz00) & (aElementOf0(xk, szNzAzT0) & =(szszuzczcdt0(xk), xK)) & (((aFunction0(xN) & =(szDzozmdt0(xN), szNzAzT0)) & =(sdtlpdtrp0(xN, sz00), xS)) & ! [W0168_168] : ((aElementOf0(W0168_168, szNzAzT0) => ((((aSet0(sdtlpdtrp0(xN, W0168_168)) & ! [W1169_169] : ((aElementOf0(W1169_169, sdtlpdtrp0(xN, W0168_168)) => aElementOf0(W1169_169, szNzAzT0)))) | aSubsetOf0(sdtlpdtrp0(xN, W0168_168), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0168_168))) => (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0168_168)), sdtlpdtrp0(xN, W0168_168)) & ! [W1170_170] : ((aElementOf0(W1170_170, sdtlpdtrp0(xN, W0168_168)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0168_168)), W1170_170)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168))))) & ! [W1171_171] : ((aElementOf0(W1171_171, sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168)))) <=> ((aElement0(W1171_171) & aElementOf0(W1171_171, sdtlpdtrp0(xN, W0168_168))) & ~=(W1171_171, szmzizndt0(sdtlpdtrp0(xN, W0168_168))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0168_168)))) & ! [W1172_172] : ((aElementOf0(W1172_172, sdtlpdtrp0(xN, szszuzczcdt0(W0168_168))) => aElementOf0(W1172_172, sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168))))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0168_168)), sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0168_168)))))))) & ! [W0173_173] : ((aElementOf0(W0173_173, szNzAzT0) => (((aSet0(sdtlpdtrp0(xN, W0173_173)) & ! [W1174_174] : ((aElementOf0(W1174_174, sdtlpdtrp0(xN, W0173_173)) => aElementOf0(W1174_174, szNzAzT0)))) & aSubsetOf0(sdtlpdtrp0(xN, W0173_173), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0173_173))))) & ! [W0175_175, W1176_176] : (((aElementOf0(W0175_175, szNzAzT0) & aElementOf0(W1176_176, szNzAzT0)) => (sdtlseqdt0(W1176_176, W0175_175) => (! [W2177_177] : ((aElementOf0(W2177_177, sdtlpdtrp0(xN, W0175_175)) => aElementOf0(W2177_177, sdtlpdtrp0(xN, W1176_176)))) & aSubsetOf0(sdtlpdtrp0(xN, W0175_175), sdtlpdtrp0(xN, W1176_176)))))) & ! [W0178_178, W1179_179] : ((((aElementOf0(W0178_178, szNzAzT0) & aElementOf0(W1179_179, szNzAzT0)) & ~=(W0178_178, W1179_179)) => ~((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0178_178)), sdtlpdtrp0(xN, W0178_178)) & ! [W2180_180] : ((aElementOf0(W2180_180, sdtlpdtrp0(xN, W0178_178)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0178_178)), W2180_180)))) => ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0178_178)), sdtlpdtrp0(xN, W1179_179)) & ! [W2181_181] : ((aElementOf0(W2181_181, sdtlpdtrp0(xN, W1179_179)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0178_178)), W2181_181)))) | =(szmzizndt0(sdtlpdtrp0(xN, W0178_178)), szmzizndt0(sdtlpdtrp0(xN, W1179_179))))))) & aElementOf0(xi, szNzAzT0) & ((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSet0(xQ)) & ! [W0184_184] : ((aElementOf0(W0184_184, xQ) => aElementOf0(W0184_184, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSubsetOf0(xQ, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & =(sbrdtbr0(xQ), xk)) & aElementOf0(xQ, slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))), xk))) & ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0185_185] : ((aElementOf0(W0185_185, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0185_185)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0186_186] : ((aElementOf0(W0186_186, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0186_186) & (aElementOf0(W0186_186, xQ) | =(W0186_186, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) & =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)) & (((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0187_187] : ((aElementOf0(W0187_187, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0187_187)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0188_188] : ((aElementOf0(W0188_188, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0188_188) & (aElementOf0(W0188_188, xQ) | =(W0188_188, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) & ! [W0189_189] : ((aElementOf0(W0189_189, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0189_189, xS)))) & aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & ~((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0190_190] : ((aElementOf0(W0190_190, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0190_190)))) => ((aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) & ! [W0191_191] : ((aElementOf0(W0191_191, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0191_191) & (aElementOf0(W0191_191, xQ) | =(W0191_191, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) => (((! [W0192_192] : ((aElementOf0(W0192_192, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0192_192, xS))) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)) | aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK))))))
% 14.17/9.75 -> [1] ! [W07_7] : ((aSet0(W07_7) => $true)), ! [W08_8] : ((aElement0(W08_8) => $true)), ! [W09_9] : ((aSet0(W09_9) => ! [W110_10] : ((aElementOf0(W110_10, W09_9) => aElement0(W110_10))))), ! [W011_11] : ((aSet0(W011_11) => (isFinite0(W011_11) => $true))), ! [W012_12] : ((=(W012_12, slcrc0) <=> (aSet0(W012_12) & ~? [W113_13] : (aElementOf0(W113_13, W012_12))))), isFinite0(slcrc0), ! [W014_14] : ((aSet0(W014_14) => (isCountable0(W014_14) => $true))), ! [W015_15] : (((aSet0(W015_15) & isCountable0(W015_15)) => ~isFinite0(W015_15))), ! [W016_16] : (((aSet0(W016_16) & isCountable0(W016_16)) => ~=(W016_16, slcrc0))), ! [W017_17] : ((aSet0(W017_17) => ! [W118_18] : ((aSubsetOf0(W118_18, W017_17) <=> (aSet0(W118_18) & ! [W219_19] : ((aElementOf0(W219_19, W118_18) => aElementOf0(W219_19, W017_17)))))))), ! [W020_20] : (((aSet0(W020_20) & isFinite0(W020_20)) => ! [W121_21] : ((aSubsetOf0(W121_21, W020_20) => isFinite0(W121_21))))), ! [W022_22] : ((aSet0(W022_22) => aSubsetOf0(W022_22, W022_22))), ! [W023_23, W124_24] : (((aSet0(W023_23) & aSet0(W124_24)) => ((aSubsetOf0(W023_23, W124_24) & aSubsetOf0(W124_24, W023_23)) => =(W023_23, W124_24)))), ! [W025_25, W126_26, W227_27] : ((((aSet0(W025_25) & aSet0(W126_26)) & aSet0(W227_27)) => ((aSubsetOf0(W025_25, W126_26) & aSubsetOf0(W126_26, W227_27)) => aSubsetOf0(W025_25, W227_27)))), ! [W028_28, W129_29] : (((aSet0(W028_28) & aElement0(W129_29)) => ! [W230_30] : ((=(W230_30, sdtpldt0(W028_28, W129_29)) <=> (aSet0(W230_30) & ! [W331_31] : ((aElementOf0(W331_31, W230_30) <=> (aElement0(W331_31) & (aElementOf0(W331_31, W028_28) | =(W331_31, W129_29)))))))))), ! [W032_32, W133_33] : (((aSet0(W032_32) & aElement0(W133_33)) => ! [W234_34] : ((=(W234_34, sdtmndt0(W032_32, W133_33)) <=> (aSet0(W234_34) & ! [W335_35] : ((aElementOf0(W335_35, W234_34) <=> ((aElement0(W335_35) & aElementOf0(W335_35, W032_32)) & ~=(W335_35, W133_33))))))))), ! [W036_36] : ((aSet0(W036_36) => ! [W137_37] : ((aElementOf0(W137_37, W036_36) => =(sdtpldt0(sdtmndt0(W036_36, W137_37), W137_37), W036_36))))), ! [W038_38, W139_39] : (((aElement0(W038_38) & aSet0(W139_39)) => (~aElementOf0(W038_38, W139_39) => =(sdtmndt0(sdtpldt0(W139_39, W038_38), W038_38), W139_39)))), ! [W040_40] : ((aElement0(W040_40) => ! [W141_41] : (((aSet0(W141_41) & isCountable0(W141_41)) => isCountable0(sdtpldt0(W141_41, W040_40)))))), ! [W042_42] : ((aElement0(W042_42) => ! [W143_43] : (((aSet0(W143_43) & isCountable0(W143_43)) => isCountable0(sdtmndt0(W143_43, W042_42)))))), ! [W044_44] : ((aElement0(W044_44) => ! [W145_45] : (((aSet0(W145_45) & isFinite0(W145_45)) => isFinite0(sdtpldt0(W145_45, W044_44)))))), ! [W046_46] : ((aElement0(W046_46) => ! [W147_47] : (((aSet0(W147_47) & isFinite0(W147_47)) => isFinite0(sdtmndt0(W147_47, W046_46)))))), (aSet0(szNzAzT0) & isCountable0(szNzAzT0)), aElementOf0(sz00, szNzAzT0), ! [W048_48] : ((aElementOf0(W048_48, szNzAzT0) => (aElementOf0(szszuzczcdt0(W048_48), szNzAzT0) & ~=(szszuzczcdt0(W048_48), sz00)))), ! [W049_49, W150_50] : (((aElementOf0(W049_49, szNzAzT0) & aElementOf0(W150_50, szNzAzT0)) => (=(szszuzczcdt0(W049_49), szszuzczcdt0(W150_50)) => =(W049_49, W150_50)))), ! [W051_51] : ((aElementOf0(W051_51, szNzAzT0) => (=(W051_51, sz00) | ? [W152_52] : ((aElementOf0(W152_52, szNzAzT0) & =(W051_51, szszuzczcdt0(W152_52))))))), ! [W053_53] : ((aElementOf0(W053_53, szNzAzT0) => ~=(W053_53, szszuzczcdt0(W053_53)))), ! [W054_54, W155_55] : (((aElementOf0(W054_54, szNzAzT0) & aElementOf0(W155_55, szNzAzT0)) => (sdtlseqdt0(W054_54, W155_55) => $true))), ! [W056_56] : ((aElementOf0(W056_56, szNzAzT0) => sdtlseqdt0(sz00, W056_56))), ! [W057_57] : ((aElementOf0(W057_57, szNzAzT0) => ~sdtlseqdt0(szszuzczcdt0(W057_57), sz00))), ! [W058_58, W159_59] : (((aElementOf0(W058_58, szNzAzT0) & aElementOf0(W159_59, szNzAzT0)) => (sdtlseqdt0(W058_58, W159_59) <=> sdtlseqdt0(szszuzczcdt0(W058_58), szszuzczcdt0(W159_59))))), ! [W060_60] : ((aElementOf0(W060_60, szNzAzT0) => sdtlseqdt0(W060_60, szszuzczcdt0(W060_60)))), ! [W061_61] : ((aElementOf0(W061_61, szNzAzT0) => sdtlseqdt0(W061_61, W061_61))), ! [W062_62, W163_63] : (((aElementOf0(W062_62, szNzAzT0) & aElementOf0(W163_63, szNzAzT0)) => ((sdtlseqdt0(W062_62, W163_63) & sdtlseqdt0(W163_63, W062_62)) => =(W062_62, W163_63)))), ! [W064_64, W165_65, W266_66] : ((((aElementOf0(W064_64, szNzAzT0) & aElementOf0(W165_65, szNzAzT0)) & aElementOf0(W266_66, szNzAzT0)) => ((sdtlseqdt0(W064_64, W165_65) & sdtlseqdt0(W165_65, W266_66)) => sdtlseqdt0(W064_64, W266_66)))), ! [W067_67, W168_68] : (((aElementOf0(W067_67, szNzAzT0) & aElementOf0(W168_68, szNzAzT0)) => (sdtlseqdt0(W067_67, W168_68) | sdtlseqdt0(szszuzczcdt0(W168_68), W067_67)))), ! [W069_69, W170_70] : (((aElementOf0(W069_69, szNzAzT0) & aElementOf0(W170_70, szNzAzT0)) => (iLess0(W069_69, W170_70) => $true))), ! [W071_71] : ((aElementOf0(W071_71, szNzAzT0) => iLess0(W071_71, szszuzczcdt0(W071_71)))), ! [W072_72] : ((aSet0(W072_72) => aElement0(sbrdtbr0(W072_72)))), ! [W073_73] : ((aSet0(W073_73) => (aElementOf0(sbrdtbr0(W073_73), szNzAzT0) <=> isFinite0(W073_73)))), ! [W074_74] : ((aSet0(W074_74) => (=(sbrdtbr0(W074_74), sz00) <=> =(W074_74, slcrc0)))), ! [W075_75] : (((aSet0(W075_75) & isFinite0(W075_75)) => ! [W176_76] : ((aElement0(W176_76) => (~aElementOf0(W176_76, W075_75) => =(sbrdtbr0(sdtpldt0(W075_75, W176_76)), szszuzczcdt0(sbrdtbr0(W075_75)))))))), ! [W077_77] : ((aSet0(W077_77) => ! [W178_78] : (((isFinite0(W077_77) & aElementOf0(W178_78, W077_77)) => =(szszuzczcdt0(sbrdtbr0(sdtmndt0(W077_77, W178_78))), sbrdtbr0(W077_77)))))), ! [W079_79] : ((aSet0(W079_79) => ! [W180_80] : (((isFinite0(W079_79) & aSubsetOf0(W180_80, W079_79)) => sdtlseqdt0(sbrdtbr0(W180_80), sbrdtbr0(W079_79)))))), ! [W081_81, W182_82] : (((aSet0(W081_81) & aElementOf0(W182_82, szNzAzT0)) => ((isFinite0(W081_81) & sdtlseqdt0(W182_82, sbrdtbr0(W081_81))) => ? [W283_83] : ((aSubsetOf0(W283_83, W081_81) & =(sbrdtbr0(W283_83), W182_82)))))), ! [W084_84] : (((aSubsetOf0(W084_84, szNzAzT0) & ~=(W084_84, slcrc0)) => ! [W185_85] : ((=(W185_85, szmzizndt0(W084_84)) <=> (aElementOf0(W185_85, W084_84) & ! [W286_86] : ((aElementOf0(W286_86, W084_84) => sdtlseqdt0(W185_85, W286_86)))))))), ! [W087_87] : ((((aSubsetOf0(W087_87, szNzAzT0) & isFinite0(W087_87)) & ~=(W087_87, slcrc0)) => ! [W188_88] : ((=(W188_88, szmzazxdt0(W087_87)) <=> (aElementOf0(W188_88, W087_87) & ! [W289_89] : ((aElementOf0(W289_89, W087_87) => sdtlseqdt0(W289_89, W188_88)))))))), ! [W090_90, W191_91] : (((((aSubsetOf0(W090_90, szNzAzT0) & aSubsetOf0(W191_91, szNzAzT0)) & ~=(W090_90, slcrc0)) & ~=(W191_91, slcrc0)) => ((aElementOf0(szmzizndt0(W090_90), W191_91) & aElementOf0(szmzizndt0(W191_91), W090_90)) => =(szmzizndt0(W090_90), szmzizndt0(W191_91))))), ! [W092_92] : ((aElementOf0(W092_92, szNzAzT0) => ! [W193_93] : ((=(W193_93, slbdtrb0(W092_92)) <=> (aSet0(W193_93) & ! [W294_94] : ((aElementOf0(W294_94, W193_93) <=> (aElementOf0(W294_94, szNzAzT0) & sdtlseqdt0(szszuzczcdt0(W294_94), W092_92))))))))), ! [W095_95] : ((aElementOf0(W095_95, szNzAzT0) => isFinite0(slbdtrb0(W095_95)))), =(slbdtrb0(sz00), slcrc0), ! [W096_96, W197_97] : (((aElementOf0(W096_96, szNzAzT0) & aElementOf0(W197_97, szNzAzT0)) => (aElementOf0(W096_96, slbdtrb0(szszuzczcdt0(W197_97))) <=> (aElementOf0(W096_96, slbdtrb0(W197_97)) | =(W096_96, W197_97))))), ! [W098_98, W199_99] : (((aElementOf0(W098_98, szNzAzT0) & aElementOf0(W199_99, szNzAzT0)) => (sdtlseqdt0(W098_98, W199_99) <=> aSubsetOf0(slbdtrb0(W098_98), slbdtrb0(W199_99))))), ! [W0100_100] : (((aSubsetOf0(W0100_100, szNzAzT0) & isFinite0(W0100_100)) => ? [W1101_101] : ((aElementOf0(W1101_101, szNzAzT0) & aSubsetOf0(W0100_100, slbdtrb0(W1101_101)))))), ! [W0102_102] : ((aElementOf0(W0102_102, szNzAzT0) => =(sbrdtbr0(slbdtrb0(W0102_102)), W0102_102))), ! [W0103_103, W1104_104] : (((aSet0(W0103_103) & aElementOf0(W1104_104, szNzAzT0)) => ! [W2105_105] : ((=(W2105_105, slbdtsldtrb0(W0103_103, W1104_104)) <=> (aSet0(W2105_105) & ! [W3106_106] : ((aElementOf0(W3106_106, W2105_105) <=> (aSubsetOf0(W3106_106, W0103_103) & =(sbrdtbr0(W3106_106), W1104_104))))))))), ! [W0107_107] : (((aSet0(W0107_107) & isFinite0(W0107_107)) => ! [W1108_108] : ((aElementOf0(W1108_108, szNzAzT0) => isFinite0(slbdtsldtrb0(W0107_107, W1108_108)))))), ! [W0109_109] : (((aSet0(W0109_109) & ~isFinite0(W0109_109)) => ! [W1110_110] : ((aElementOf0(W1110_110, szNzAzT0) => ~=(slbdtsldtrb0(W0109_109, W1110_110), slcrc0))))), ! [W0111_111] : (((aSet0(W0111_111) & isCountable0(W0111_111)) => ! [W1112_112] : (((aElementOf0(W1112_112, szNzAzT0) & ~=(W1112_112, sz00)) => isCountable0(slbdtsldtrb0(W0111_111, W1112_112)))))), ! [W0113_113] : ((aElementOf0(W0113_113, szNzAzT0) => ! [W1114_114, W2115_115] : ((((aSet0(W1114_114) & aSet0(W2115_115)) & ~=(W0113_113, sz00)) => ((aSubsetOf0(slbdtsldtrb0(W1114_114, W0113_113), slbdtsldtrb0(W2115_115, W0113_113)) & ~=(slbdtsldtrb0(W1114_114, W0113_113), slcrc0)) => aSubsetOf0(W1114_114, W2115_115)))))), ! [W0116_116, W1117_117] : (((aSet0(W0116_116) & aElementOf0(W1117_117, szNzAzT0)) => ! [W2118_118] : (((aSubsetOf0(W2118_118, slbdtsldtrb0(W0116_116, W1117_117)) & isFinite0(W2118_118)) => ? [W3119_119] : (((aSubsetOf0(W3119_119, W0116_116) & isFinite0(W3119_119)) & aSubsetOf0(W2118_118, slbdtsldtrb0(W3119_119, W1117_117)))))))), ! [W0120_120] : ((aFunction0(W0120_120) => $true)), ! [W0121_121] : ((aFunction0(W0121_121) => aSet0(szDzozmdt0(W0121_121)))), ! [W0122_122] : ((aFunction0(W0122_122) => ! [W1123_123] : ((aElementOf0(W1123_123, szDzozmdt0(W0122_122)) => aElement0(sdtlpdtrp0(W0122_122, W1123_123)))))), ! [W0124_124, W1125_125] : (((aFunction0(W0124_124) & aElement0(W1125_125)) => ! [W2126_126] : ((=(W2126_126, sdtlbdtrb0(W0124_124, W1125_125)) <=> (aSet0(W2126_126) & ! [W3127_127] : ((aElementOf0(W3127_127, W2126_126) <=> (aElementOf0(W3127_127, szDzozmdt0(W0124_124)) & =(sdtlpdtrp0(W0124_124, W3127_127), W1125_125))))))))), ! [W0128_128, W1129_129] : (((aFunction0(W0128_128) & aElement0(W1129_129)) => aSubsetOf0(sdtlbdtrb0(W0128_128, W1129_129), szDzozmdt0(W0128_128)))), ! [W0130_130] : ((aFunction0(W0130_130) => ! [W1131_131] : ((aSubsetOf0(W1131_131, szDzozmdt0(W0130_130)) => ! [W2132_132] : ((=(W2132_132, sdtlcdtrc0(W0130_130, W1131_131)) <=> (aSet0(W2132_132) & ! [W3133_133] : ((aElementOf0(W3133_133, W2132_132) <=> ? [W4134_134] : ((aElementOf0(W4134_134, W1131_131) & =(sdtlpdtrp0(W0130_130, W4134_134), W3133_133)))))))))))), ! [W0135_135] : ((aFunction0(W0135_135) => ! [W1136_136] : ((aElementOf0(W1136_136, szDzozmdt0(W0135_135)) => aElementOf0(sdtlpdtrp0(W0135_135, W1136_136), sdtlcdtrc0(W0135_135, szDzozmdt0(W0135_135))))))), ! [W0137_137] : ((aFunction0(W0137_137) => ! [W1138_138] : ((aSubsetOf0(W1138_138, szDzozmdt0(W0137_137)) => ! [W2139_139] : ((=(W2139_139, sdtexdt0(W0137_137, W1138_138)) <=> ((aFunction0(W2139_139) & =(szDzozmdt0(W2139_139), W1138_138)) & ! [W3140_140] : ((aElementOf0(W3140_140, W1138_138) => =(sdtlpdtrp0(W2139_139, W3140_140), sdtlpdtrp0(W0137_137, W3140_140))))))))))), ! [W0141_141] : ((aFunction0(W0141_141) => ! [W1142_142] : (((aSubsetOf0(W1142_142, szDzozmdt0(W0141_141)) & isCountable0(W1142_142)) => (! [W2143_143, W3144_144] : ((((aElementOf0(W2143_143, szDzozmdt0(W0141_141)) & aElementOf0(W3144_144, szDzozmdt0(W0141_141))) & ~=(W2143_143, W3144_144)) => ~=(sdtlpdtrp0(W0141_141, W2143_143), sdtlpdtrp0(W0141_141, W3144_144)))) => isCountable0(sdtlcdtrc0(W0141_141, W1142_142))))))), ! [W0145_145] : ((aFunction0(W0145_145) => ((isCountable0(szDzozmdt0(W0145_145)) & isFinite0(sdtlcdtrc0(W0145_145, szDzozmdt0(W0145_145)))) => (aElement0(szDzizrdt0(W0145_145)) & isCountable0(sdtlbdtrb0(W0145_145, szDzizrdt0(W0145_145))))))), (aSet0(xT) & isFinite0(xT)), aElementOf0(xK, szNzAzT0), (((aSet0(xS) & ! [W0146_146] : ((aElementOf0(W0146_146, xS) => aElementOf0(W0146_146, szNzAzT0)))) & aSubsetOf0(xS, szNzAzT0)) & isCountable0(xS)), ((((((aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))) & aSet0(sdtlcdtrc0(xc, szDzozmdt0(xc)))) & ! [W0150_150] : ((aElementOf0(W0150_150, sdtlcdtrc0(xc, szDzozmdt0(xc))) <=> ? [W1151_151] : ((aElementOf0(W1151_151, szDzozmdt0(xc)) & =(sdtlpdtrp0(xc, W1151_151), W0150_150)))))) & ! [W0152_152] : ((aElementOf0(W0152_152, sdtlcdtrc0(xc, szDzozmdt0(xc))) => aElementOf0(W0152_152, xT)))) & aSubsetOf0(sdtlcdtrc0(xc, szDzozmdt0(xc)), xT)), ! [W0153_153] : ((aElementOf0(W0153_153, szNzAzT0) => ! [W1154_154] : (((((aSet0(W1154_154) & ! [W2155_155] : ((aElementOf0(W2155_155, W1154_154) => aElementOf0(W2155_155, szNzAzT0)))) | aSubsetOf0(W1154_154, szNzAzT0)) & isCountable0(W1154_154)) => ! [W2156_156] : ((((aFunction0(W2156_156) & (! [W3157_157] : (((aElementOf0(W3157_157, szDzozmdt0(W2156_156)) => (((aSet0(W3157_157) & ! [W4158_158] : ((aElementOf0(W4158_158, W3157_157) => aElementOf0(W4158_158, W1154_154)))) | aSubsetOf0(W3157_157, W1154_154)) & =(sbrdtbr0(W3157_157), W0153_153))) & ((((aSet0(W3157_157) & ! [W4159_159] : ((aElementOf0(W4159_159, W3157_157) => aElementOf0(W4159_159, W1154_154)))) & aSubsetOf0(W3157_157, W1154_154)) & =(sbrdtbr0(W3157_157), W0153_153)) => aElementOf0(W3157_157, szDzozmdt0(W2156_156))))) | =(szDzozmdt0(W2156_156), slbdtsldtrb0(W1154_154, W0153_153)))) & ((aSet0(sdtlcdtrc0(W2156_156, szDzozmdt0(W2156_156))) & ! [W3160_160] : ((aElementOf0(W3160_160, sdtlcdtrc0(W2156_156, szDzozmdt0(W2156_156))) <=> ? [W4161_161] : ((aElementOf0(W4161_161, szDzozmdt0(W2156_156)) & =(sdtlpdtrp0(W2156_156, W4161_161), W3160_160)))))) => (! [W3162_162] : ((aElementOf0(W3162_162, sdtlcdtrc0(W2156_156, szDzozmdt0(W2156_156))) => aElementOf0(W3162_162, xT))) | aSubsetOf0(sdtlcdtrc0(W2156_156, szDzozmdt0(W2156_156)), xT)))) => (iLess0(W0153_153, xK) => ? [W3163_163] : ((aElementOf0(W3163_163, xT) & ? [W4164_164] : (((((aSet0(W4164_164) & ! [W5165_165] : ((aElementOf0(W5165_165, W4164_164) => aElementOf0(W5165_165, W1154_154)))) & aSubsetOf0(W4164_164, W1154_154)) & isCountable0(W4164_164)) & ! [W5166_166] : ((((((aSet0(W5166_166) & ! [W6167_167] : ((aElementOf0(W6167_167, W5166_166) => aElementOf0(W6167_167, W4164_164)))) | aSubsetOf0(W5166_166, W4164_164)) & =(sbrdtbr0(W5166_166), W0153_153)) | aElementOf0(W5166_166, slbdtsldtrb0(W4164_164, W0153_153))) => =(sdtlpdtrp0(W2156_156, W5166_166), W3163_163)))))))))))))), ~=(xK, sz00), (aElementOf0(xk, szNzAzT0) & =(szszuzczcdt0(xk), xK)), (((aFunction0(xN) & =(szDzozmdt0(xN), szNzAzT0)) & =(sdtlpdtrp0(xN, sz00), xS)) & ! [W0168_168] : ((aElementOf0(W0168_168, szNzAzT0) => ((((aSet0(sdtlpdtrp0(xN, W0168_168)) & ! [W1169_169] : ((aElementOf0(W1169_169, sdtlpdtrp0(xN, W0168_168)) => aElementOf0(W1169_169, szNzAzT0)))) | aSubsetOf0(sdtlpdtrp0(xN, W0168_168), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0168_168))) => (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0168_168)), sdtlpdtrp0(xN, W0168_168)) & ! [W1170_170] : ((aElementOf0(W1170_170, sdtlpdtrp0(xN, W0168_168)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0168_168)), W1170_170)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168))))) & ! [W1171_171] : ((aElementOf0(W1171_171, sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168)))) <=> ((aElement0(W1171_171) & aElementOf0(W1171_171, sdtlpdtrp0(xN, W0168_168))) & ~=(W1171_171, szmzizndt0(sdtlpdtrp0(xN, W0168_168))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0168_168)))) & ! [W1172_172] : ((aElementOf0(W1172_172, sdtlpdtrp0(xN, szszuzczcdt0(W0168_168))) => aElementOf0(W1172_172, sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168))))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0168_168)), sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0168_168)))))))), ! [W0173_173] : ((aElementOf0(W0173_173, szNzAzT0) => (((aSet0(sdtlpdtrp0(xN, W0173_173)) & ! [W1174_174] : ((aElementOf0(W1174_174, sdtlpdtrp0(xN, W0173_173)) => aElementOf0(W1174_174, szNzAzT0)))) & aSubsetOf0(sdtlpdtrp0(xN, W0173_173), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0173_173))))), ! [W0175_175, W1176_176] : (((aElementOf0(W0175_175, szNzAzT0) & aElementOf0(W1176_176, szNzAzT0)) => (sdtlseqdt0(W1176_176, W0175_175) => (! [W2177_177] : ((aElementOf0(W2177_177, sdtlpdtrp0(xN, W0175_175)) => aElementOf0(W2177_177, sdtlpdtrp0(xN, W1176_176)))) & aSubsetOf0(sdtlpdtrp0(xN, W0175_175), sdtlpdtrp0(xN, W1176_176)))))), ! [W0178_178, W1179_179] : ((((aElementOf0(W0178_178, szNzAzT0) & aElementOf0(W1179_179, szNzAzT0)) & ~=(W0178_178, W1179_179)) => ~((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0178_178)), sdtlpdtrp0(xN, W0178_178)) & ! [W2180_180] : ((aElementOf0(W2180_180, sdtlpdtrp0(xN, W0178_178)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0178_178)), W2180_180)))) => ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0178_178)), sdtlpdtrp0(xN, W1179_179)) & ! [W2181_181] : ((aElementOf0(W2181_181, sdtlpdtrp0(xN, W1179_179)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0178_178)), W2181_181)))) | =(szmzizndt0(sdtlpdtrp0(xN, W0178_178)), szmzizndt0(sdtlpdtrp0(xN, W1179_179))))))), aElementOf0(xi, szNzAzT0), ((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSet0(xQ)) & ! [W0184_184] : ((aElementOf0(W0184_184, xQ) => aElementOf0(W0184_184, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSubsetOf0(xQ, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & =(sbrdtbr0(xQ), xk)) & aElementOf0(xQ, slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))), xk))), ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0185_185] : ((aElementOf0(W0185_185, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0185_185)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0186_186] : ((aElementOf0(W0186_186, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0186_186) & (aElementOf0(W0186_186, xQ) | =(W0186_186, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) & =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)), (((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0187_187] : ((aElementOf0(W0187_187, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0187_187)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0188_188] : ((aElementOf0(W0188_188, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0188_188) & (aElementOf0(W0188_188, xQ) | =(W0188_188, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) & ! [W0189_189] : ((aElementOf0(W0189_189, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0189_189, xS)))) & aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)), ~((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0190_190] : ((aElementOf0(W0190_190, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0190_190)))) => ((aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) & ! [W0191_191] : ((aElementOf0(W0191_191, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0191_191) & (aElementOf0(W0191_191, xQ) | =(W0191_191, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) => (((! [W0192_192] : ((aElementOf0(W0192_192, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0192_192, xS))) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)) | aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK)))))
% 14.17/9.75
% 14.17/9.75 [1] ALPHA_AND : (aSet0(szNzAzT0) & isCountable0(szNzAzT0))
% 14.17/9.75 -> [2] aSet0(szNzAzT0), isCountable0(szNzAzT0)
% 14.17/9.75
% 14.17/9.75 [2] ALPHA_AND : (aSet0(xT) & isFinite0(xT))
% 14.17/9.75 -> [3] aSet0(xT), isFinite0(xT)
% 14.17/9.75
% 14.17/9.75 [3] ALPHA_AND : (((aSet0(xS) & ! [W0146_146] : ((aElementOf0(W0146_146, xS) => aElementOf0(W0146_146, szNzAzT0)))) & aSubsetOf0(xS, szNzAzT0)) & isCountable0(xS))
% 14.17/9.75 -> [4] ((aSet0(xS) & ! [W0146_146] : ((aElementOf0(W0146_146, xS) => aElementOf0(W0146_146, szNzAzT0)))) & aSubsetOf0(xS, szNzAzT0)), isCountable0(xS)
% 14.17/9.75
% 14.17/9.75 [4] ALPHA_AND : ((((((aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))) & aSet0(sdtlcdtrc0(xc, szDzozmdt0(xc)))) & ! [W0150_150] : ((aElementOf0(W0150_150, sdtlcdtrc0(xc, szDzozmdt0(xc))) <=> ? [W1151_151] : ((aElementOf0(W1151_151, szDzozmdt0(xc)) & =(sdtlpdtrp0(xc, W1151_151), W0150_150)))))) & ! [W0152_152] : ((aElementOf0(W0152_152, sdtlcdtrc0(xc, szDzozmdt0(xc))) => aElementOf0(W0152_152, xT)))) & aSubsetOf0(sdtlcdtrc0(xc, szDzozmdt0(xc)), xT))
% 14.17/9.75 -> [5] (((((aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))) & aSet0(sdtlcdtrc0(xc, szDzozmdt0(xc)))) & ! [W0150_150] : ((aElementOf0(W0150_150, sdtlcdtrc0(xc, szDzozmdt0(xc))) <=> ? [W1151_151] : ((aElementOf0(W1151_151, szDzozmdt0(xc)) & =(sdtlpdtrp0(xc, W1151_151), W0150_150)))))) & ! [W0152_152] : ((aElementOf0(W0152_152, sdtlcdtrc0(xc, szDzozmdt0(xc))) => aElementOf0(W0152_152, xT)))), aSubsetOf0(sdtlcdtrc0(xc, szDzozmdt0(xc)), xT)
% 14.17/9.75
% 14.17/9.75 [5] ALPHA_AND : (aElementOf0(xk, szNzAzT0) & =(szszuzczcdt0(xk), xK))
% 14.17/9.75 -> [6] aElementOf0(xk, szNzAzT0), =(szszuzczcdt0(xk), xK)
% 14.17/9.75
% 14.17/9.75 [6] ALPHA_AND : (((aFunction0(xN) & =(szDzozmdt0(xN), szNzAzT0)) & =(sdtlpdtrp0(xN, sz00), xS)) & ! [W0168_168] : ((aElementOf0(W0168_168, szNzAzT0) => ((((aSet0(sdtlpdtrp0(xN, W0168_168)) & ! [W1169_169] : ((aElementOf0(W1169_169, sdtlpdtrp0(xN, W0168_168)) => aElementOf0(W1169_169, szNzAzT0)))) | aSubsetOf0(sdtlpdtrp0(xN, W0168_168), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0168_168))) => (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0168_168)), sdtlpdtrp0(xN, W0168_168)) & ! [W1170_170] : ((aElementOf0(W1170_170, sdtlpdtrp0(xN, W0168_168)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0168_168)), W1170_170)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168))))) & ! [W1171_171] : ((aElementOf0(W1171_171, sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168)))) <=> ((aElement0(W1171_171) & aElementOf0(W1171_171, sdtlpdtrp0(xN, W0168_168))) & ~=(W1171_171, szmzizndt0(sdtlpdtrp0(xN, W0168_168))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0168_168)))) & ! [W1172_172] : ((aElementOf0(W1172_172, sdtlpdtrp0(xN, szszuzczcdt0(W0168_168))) => aElementOf0(W1172_172, sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168))))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0168_168)), sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0168_168))))))))
% 14.17/9.75 -> [7] ((aFunction0(xN) & =(szDzozmdt0(xN), szNzAzT0)) & =(sdtlpdtrp0(xN, sz00), xS)), ! [W0168_168] : ((aElementOf0(W0168_168, szNzAzT0) => ((((aSet0(sdtlpdtrp0(xN, W0168_168)) & ! [W1169_169] : ((aElementOf0(W1169_169, sdtlpdtrp0(xN, W0168_168)) => aElementOf0(W1169_169, szNzAzT0)))) | aSubsetOf0(sdtlpdtrp0(xN, W0168_168), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, W0168_168))) => (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, W0168_168)), sdtlpdtrp0(xN, W0168_168)) & ! [W1170_170] : ((aElementOf0(W1170_170, sdtlpdtrp0(xN, W0168_168)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, W0168_168)), W1170_170)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168))))) & ! [W1171_171] : ((aElementOf0(W1171_171, sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168)))) <=> ((aElement0(W1171_171) & aElementOf0(W1171_171, sdtlpdtrp0(xN, W0168_168))) & ~=(W1171_171, szmzizndt0(sdtlpdtrp0(xN, W0168_168))))))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(W0168_168)))) & ! [W1172_172] : ((aElementOf0(W1172_172, sdtlpdtrp0(xN, szszuzczcdt0(W0168_168))) => aElementOf0(W1172_172, sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168))))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0168_168)), sdtmndt0(sdtlpdtrp0(xN, W0168_168), szmzizndt0(sdtlpdtrp0(xN, W0168_168))))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0168_168)))))))
% 14.17/9.75
% 14.17/9.75 [7] ALPHA_AND : ((((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSet0(xQ)) & ! [W0184_184] : ((aElementOf0(W0184_184, xQ) => aElementOf0(W0184_184, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSubsetOf0(xQ, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & =(sbrdtbr0(xQ), xk)) & aElementOf0(xQ, slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))), xk)))
% 14.17/9.75 -> [8] (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSet0(xQ)) & ! [W0184_184] : ((aElementOf0(W0184_184, xQ) => aElementOf0(W0184_184, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSubsetOf0(xQ, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & =(sbrdtbr0(xQ), xk)), aElementOf0(xQ, slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))), xk))
% 14.17/9.75
% 14.17/9.75 [8] ALPHA_AND : ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0185_185] : ((aElementOf0(W0185_185, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0185_185)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0186_186] : ((aElementOf0(W0186_186, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0186_186) & (aElementOf0(W0186_186, xQ) | =(W0186_186, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) & =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK))
% 14.17/9.75 -> [9] (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0185_185] : ((aElementOf0(W0185_185, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0185_185)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0186_186] : ((aElementOf0(W0186_186, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0186_186) & (aElementOf0(W0186_186, xQ) | =(W0186_186, szmzizndt0(sdtlpdtrp0(xN, xi)))))))), =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)
% 14.17/9.75
% 14.17/9.75 [9] ALPHA_AND : (((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0187_187] : ((aElementOf0(W0187_187, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0187_187)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0188_188] : ((aElementOf0(W0188_188, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0188_188) & (aElementOf0(W0188_188, xQ) | =(W0188_188, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) & ! [W0189_189] : ((aElementOf0(W0189_189, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0189_189, xS)))) & aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS))
% 14.17/9.75 -> [10] ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0187_187] : ((aElementOf0(W0187_187, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0187_187)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0188_188] : ((aElementOf0(W0188_188, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0188_188) & (aElementOf0(W0188_188, xQ) | =(W0188_188, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) & ! [W0189_189] : ((aElementOf0(W0189_189, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0189_189, xS)))), aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)
% 14.17/9.75
% 14.17/9.75 [10] ALPHA_NOT_IMPLY : ~((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0190_190] : ((aElementOf0(W0190_190, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0190_190)))) => ((aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) & ! [W0191_191] : ((aElementOf0(W0191_191, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0191_191) & (aElementOf0(W0191_191, xQ) | =(W0191_191, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) => (((! [W0192_192] : ((aElementOf0(W0192_192, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0192_192, xS))) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)) | aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK)))))
% 14.17/9.75 -> [11] (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0190_190] : ((aElementOf0(W0190_190, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0190_190)))), ~((aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) & ! [W0191_191] : ((aElementOf0(W0191_191, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0191_191) & (aElementOf0(W0191_191, xQ) | =(W0191_191, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) => (((! [W0192_192] : ((aElementOf0(W0192_192, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0192_192, xS))) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)) | aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK))))
% 14.17/9.75
% 14.17/9.75 [11] ALPHA_AND : ((aSet0(xS) & ! [W0146_146] : ((aElementOf0(W0146_146, xS) => aElementOf0(W0146_146, szNzAzT0)))) & aSubsetOf0(xS, szNzAzT0))
% 14.17/9.75 -> [12] (aSet0(xS) & ! [W0146_146] : ((aElementOf0(W0146_146, xS) => aElementOf0(W0146_146, szNzAzT0)))), aSubsetOf0(xS, szNzAzT0)
% 14.17/9.75
% 14.17/9.75 [12] ALPHA_AND : (((((aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))) & aSet0(sdtlcdtrc0(xc, szDzozmdt0(xc)))) & ! [W0150_150] : ((aElementOf0(W0150_150, sdtlcdtrc0(xc, szDzozmdt0(xc))) <=> ? [W1151_151] : ((aElementOf0(W1151_151, szDzozmdt0(xc)) & =(sdtlpdtrp0(xc, W1151_151), W0150_150)))))) & ! [W0152_152] : ((aElementOf0(W0152_152, sdtlcdtrc0(xc, szDzozmdt0(xc))) => aElementOf0(W0152_152, xT))))
% 14.17/9.75 -> [13] ((((aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))) & aSet0(sdtlcdtrc0(xc, szDzozmdt0(xc)))) & ! [W0150_150] : ((aElementOf0(W0150_150, sdtlcdtrc0(xc, szDzozmdt0(xc))) <=> ? [W1151_151] : ((aElementOf0(W1151_151, szDzozmdt0(xc)) & =(sdtlpdtrp0(xc, W1151_151), W0150_150)))))), ! [W0152_152] : ((aElementOf0(W0152_152, sdtlcdtrc0(xc, szDzozmdt0(xc))) => aElementOf0(W0152_152, xT)))
% 14.17/9.75
% 14.17/9.75 [13] ALPHA_AND : ((aFunction0(xN) & =(szDzozmdt0(xN), szNzAzT0)) & =(sdtlpdtrp0(xN, sz00), xS))
% 14.17/9.75 -> [14] (aFunction0(xN) & =(szDzozmdt0(xN), szNzAzT0)), =(sdtlpdtrp0(xN, sz00), xS)
% 14.17/9.75
% 14.17/9.75 [14] ALPHA_AND : (((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSet0(xQ)) & ! [W0184_184] : ((aElementOf0(W0184_184, xQ) => aElementOf0(W0184_184, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSubsetOf0(xQ, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & =(sbrdtbr0(xQ), xk))
% 14.17/9.75 -> [15] ((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSet0(xQ)) & ! [W0184_184] : ((aElementOf0(W0184_184, xQ) => aElementOf0(W0184_184, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSubsetOf0(xQ, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))), =(sbrdtbr0(xQ), xk)
% 14.17/9.75
% 14.17/9.75 [15] ALPHA_AND : (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0185_185] : ((aElementOf0(W0185_185, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0185_185)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0186_186] : ((aElementOf0(W0186_186, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0186_186) & (aElementOf0(W0186_186, xQ) | =(W0186_186, szmzizndt0(sdtlpdtrp0(xN, xi))))))))
% 14.17/9.75 -> [16] ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0185_185] : ((aElementOf0(W0185_185, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0185_185)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))), ! [W0186_186] : ((aElementOf0(W0186_186, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0186_186) & (aElementOf0(W0186_186, xQ) | =(W0186_186, szmzizndt0(sdtlpdtrp0(xN, xi)))))))
% 14.17/9.75
% 14.17/9.75 [16] ALPHA_AND : ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0187_187] : ((aElementOf0(W0187_187, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0187_187)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0188_188] : ((aElementOf0(W0188_188, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0188_188) & (aElementOf0(W0188_188, xQ) | =(W0188_188, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) & ! [W0189_189] : ((aElementOf0(W0189_189, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0189_189, xS))))
% 14.17/9.75 -> [17] (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0187_187] : ((aElementOf0(W0187_187, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0187_187)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0188_188] : ((aElementOf0(W0188_188, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0188_188) & (aElementOf0(W0188_188, xQ) | =(W0188_188, szmzizndt0(sdtlpdtrp0(xN, xi)))))))), ! [W0189_189] : ((aElementOf0(W0189_189, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0189_189, xS)))
% 14.17/9.75
% 14.17/9.75 [17] ALPHA_AND : (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0190_190] : ((aElementOf0(W0190_190, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0190_190))))
% 14.17/9.75 -> [18] aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)), ! [W0190_190] : ((aElementOf0(W0190_190, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0190_190)))
% 14.17/9.75
% 14.17/9.75 [18] ALPHA_NOT_IMPLY : ~((aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) & ! [W0191_191] : ((aElementOf0(W0191_191, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0191_191) & (aElementOf0(W0191_191, xQ) | =(W0191_191, szmzizndt0(sdtlpdtrp0(xN, xi)))))))) => (((! [W0192_192] : ((aElementOf0(W0192_192, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0192_192, xS))) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)) | aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK))))
% 14.17/9.75 -> [19] (aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) & ! [W0191_191] : ((aElementOf0(W0191_191, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0191_191) & (aElementOf0(W0191_191, xQ) | =(W0191_191, szmzizndt0(sdtlpdtrp0(xN, xi)))))))), ~(((! [W0192_192] : ((aElementOf0(W0192_192, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0192_192, xS))) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)) | aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK)))
% 14.17/9.75
% 14.17/9.75 [19] ALPHA_AND : (aSet0(xS) & ! [W0146_146] : ((aElementOf0(W0146_146, xS) => aElementOf0(W0146_146, szNzAzT0))))
% 14.17/9.75 -> [20] aSet0(xS), ! [W0146_146] : ((aElementOf0(W0146_146, xS) => aElementOf0(W0146_146, szNzAzT0)))
% 14.17/9.75
% 14.17/9.75 [20] ALPHA_AND : ((((aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))) & aSet0(sdtlcdtrc0(xc, szDzozmdt0(xc)))) & ! [W0150_150] : ((aElementOf0(W0150_150, sdtlcdtrc0(xc, szDzozmdt0(xc))) <=> ? [W1151_151] : ((aElementOf0(W1151_151, szDzozmdt0(xc)) & =(sdtlpdtrp0(xc, W1151_151), W0150_150))))))
% 14.17/9.75 -> [21] (((aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))) & aSet0(sdtlcdtrc0(xc, szDzozmdt0(xc)))), ! [W0150_150] : ((aElementOf0(W0150_150, sdtlcdtrc0(xc, szDzozmdt0(xc))) <=> ? [W1151_151] : ((aElementOf0(W1151_151, szDzozmdt0(xc)) & =(sdtlpdtrp0(xc, W1151_151), W0150_150)))))
% 14.17/9.75
% 14.17/9.75 [21] ALPHA_AND : (aFunction0(xN) & =(szDzozmdt0(xN), szNzAzT0))
% 14.17/9.75 -> [22] aFunction0(xN), =(szDzozmdt0(xN), szNzAzT0)
% 14.17/9.75
% 14.17/9.75 [22] ALPHA_AND : ((((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSet0(xQ)) & ! [W0184_184] : ((aElementOf0(W0184_184, xQ) => aElementOf0(W0184_184, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSubsetOf0(xQ, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))))
% 14.17/9.75 -> [23] (((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSet0(xQ)) & ! [W0184_184] : ((aElementOf0(W0184_184, xQ) => aElementOf0(W0184_184, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))))), aSubsetOf0(xQ, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))
% 14.17/9.75
% 14.17/9.75 [23] ALPHA_AND : ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0185_185] : ((aElementOf0(W0185_185, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0185_185)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))))
% 14.17/9.75 -> [24] (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0185_185] : ((aElementOf0(W0185_185, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0185_185)))), aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))
% 14.17/9.75
% 14.17/9.75 [24] ALPHA_AND : (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0187_187] : ((aElementOf0(W0187_187, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0187_187)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0188_188] : ((aElementOf0(W0188_188, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0188_188) & (aElementOf0(W0188_188, xQ) | =(W0188_188, szmzizndt0(sdtlpdtrp0(xN, xi))))))))
% 14.17/9.75 -> [25] ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0187_187] : ((aElementOf0(W0187_187, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0187_187)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))), ! [W0188_188] : ((aElementOf0(W0188_188, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0188_188) & (aElementOf0(W0188_188, xQ) | =(W0188_188, szmzizndt0(sdtlpdtrp0(xN, xi)))))))
% 14.17/9.75
% 14.17/9.75 [25] ALPHA_AND : (aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) & ! [W0191_191] : ((aElementOf0(W0191_191, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0191_191) & (aElementOf0(W0191_191, xQ) | =(W0191_191, szmzizndt0(sdtlpdtrp0(xN, xi))))))))
% 14.17/9.75 -> [26] aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), ! [W0191_191] : ((aElementOf0(W0191_191, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> (aElement0(W0191_191) & (aElementOf0(W0191_191, xQ) | =(W0191_191, szmzizndt0(sdtlpdtrp0(xN, xi)))))))
% 14.17/9.75
% 14.17/9.75 [26] ALPHA_NOT_OR : ~(((! [W0192_192] : ((aElementOf0(W0192_192, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0192_192, xS))) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)) | aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK)))
% 14.17/9.75 -> [27] ~((! [W0192_192] : ((aElementOf0(W0192_192, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0192_192, xS))) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)), ~aElementOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), slbdtsldtrb0(xS, xK))
% 14.17/9.75
% 14.17/9.75 [27] ALPHA_AND : (((aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))) & aSet0(sdtlcdtrc0(xc, szDzozmdt0(xc))))
% 14.17/9.75 -> [28] ((aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))), aSet0(sdtlcdtrc0(xc, szDzozmdt0(xc)))
% 14.17/9.75
% 14.17/9.75 [28] ALPHA_AND : (((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSet0(xQ)) & ! [W0184_184] : ((aElementOf0(W0184_184, xQ) => aElementOf0(W0184_184, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))))))
% 14.17/9.75 -> [29] ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSet0(xQ)), ! [W0184_184] : ((aElementOf0(W0184_184, xQ) => aElementOf0(W0184_184, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))))
% 14.17/9.75
% 14.17/9.75 [29] ALPHA_AND : (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0185_185] : ((aElementOf0(W0185_185, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0185_185))))
% 14.17/9.75 -> [30] aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)), ! [W0185_185] : ((aElementOf0(W0185_185, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0185_185)))
% 14.17/9.75
% 14.17/9.75 [30] ALPHA_AND : ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0187_187] : ((aElementOf0(W0187_187, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0187_187)))) & aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))))
% 14.17/9.75 -> [31] (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0187_187] : ((aElementOf0(W0187_187, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0187_187)))), aSet0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))))
% 14.17/9.75
% 14.17/9.75 [31] ALPHA_AND : ((aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK)))
% 14.17/9.75 -> [32] (aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))), =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))
% 14.17/9.75
% 14.17/9.75 [32] ALPHA_AND : ((((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))) & aSet0(xQ))
% 14.17/9.75 -> [33] (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))), aSet0(xQ)
% 14.17/9.75
% 14.17/9.75 [33] ALPHA_AND : (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0187_187] : ((aElementOf0(W0187_187, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0187_187))))
% 14.17/9.75 -> [34] aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)), ! [W0187_187] : ((aElementOf0(W0187_187, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0187_187)))
% 14.17/9.75
% 14.17/9.75 [34] ALPHA_AND : (aFunction0(xc) & ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc))))))
% 14.17/9.75 -> [35] aFunction0(xc), ! [W0147_147] : (((aElementOf0(W0147_147, szDzozmdt0(xc)) => (((aSet0(W0147_147) & ! [W1148_148] : ((aElementOf0(W1148_148, W0147_147) => aElementOf0(W1148_148, xS)))) & aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK))) & ((((aSet0(W0147_147) & ! [W1149_149] : ((aElementOf0(W1149_149, W0147_147) => aElementOf0(W1149_149, xS)))) | aSubsetOf0(W0147_147, xS)) & =(sbrdtbr0(W0147_147), xK)) => aElementOf0(W0147_147, szDzozmdt0(xc)))))
% 14.17/9.75
% 14.17/9.75 [35] ALPHA_AND : (((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))) & ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi)))))))
% 14.17/9.75 -> [36] ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))), ! [W0183_183] : ((aElementOf0(W0183_183, sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))) <=> ((aElement0(W0183_183) & aElementOf0(W0183_183, sdtlpdtrp0(xN, xi))) & ~=(W0183_183, szmzizndt0(sdtlpdtrp0(xN, xi))))))
% 14.17/9.75
% 14.17/9.75 [36] ALPHA_AND : ((aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))) & aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi)))))
% 14.17/9.75 -> [37] (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))), aSet0(sdtmndt0(sdtlpdtrp0(xN, xi), szmzizndt0(sdtlpdtrp0(xN, xi))))
% 14.17/9.75
% 14.17/9.75 [37] ALPHA_AND : (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182))))
% 14.17/9.75 -> [38] aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)), ! [W0182_182] : ((aElementOf0(W0182_182, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), W0182_182)))
% 14.17/9.75
% 14.17/9.75 [38] BETA_NOT_AND : ~((! [W0192_192] : ((aElementOf0(W0192_192, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0192_192, xS))) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)) & =(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK))
% 14.17/9.75 -> [39] ~(! [W0192_192] : ((aElementOf0(W0192_192, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0192_192, xS))) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS))
% 14.17/9.75 -> [40] ~=(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)
% 14.17/9.75
% 14.17/9.75 [40] CLOSURE : ~=(sbrdtbr0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))), xK)
% 14.17/9.75
% 14.17/9.75 [39] ALPHA_NOT_OR : ~(! [W0192_192] : ((aElementOf0(W0192_192, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0192_192, xS))) | aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS))
% 14.17/9.75 -> [41] ~! [W0192_192] : ((aElementOf0(W0192_192, sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi)))) => aElementOf0(W0192_192, xS))), ~aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)
% 14.17/9.75
% 14.17/9.75 [41] CLOSURE : ~aSubsetOf0(sdtpldt0(xQ, szmzizndt0(sdtlpdtrp0(xN, xi))), xS)
% 14.17/9.75
% 14.17/9.75 % SZS output end Proof for theBenchmark.p
% 14.17/9.75 [9.407788s][1][Res] 58133 goroutines created
% 14.17/9.75 ==== Result ====
% 14.17/9.75 [9.407826s][1][Res] VALID
% 14.17/9.75 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------