TSTP Solution File: NUM632+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : NUM632+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 10:19:50 EDT 2022
% Result : Theorem 0.73s 0.79s
% Output : Proof 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM632+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : goeland -dmt -presko -proof %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Sep 2 12:32:59 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 [DMT] DMT loaded with preskolemization
% 0.14/0.36 [EQ] equality loaded.
% 0.14/0.36 [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.14/0.39 Start search
% 0.14/0.40 nb_step : 1 - limit : 145
% 0.14/0.40 Launch Gotab with destructive = true
% 0.73/0.77 % SZS output start Proof for theBenchmark.p
% 0.73/0.79 [0] ALPHA_AND : (! [W06_6] : ((aSet0(W06_6) => $true)) & ! [W07_7] : ((aElement0(W07_7) => $true)) & ! [W08_8] : ((aSet0(W08_8) => ! [W19_9] : ((aElementOf0(W19_9, W08_8) => aElement0(W19_9))))) & ! [W010_10] : ((aSet0(W010_10) => (isFinite0(W010_10) => $true))) & ! [W011_11] : ((=(W011_11, slcrc0) <=> (aSet0(W011_11) & ~? [W112_12] : (aElementOf0(W112_12, W011_11))))) & isFinite0(slcrc0) & ! [W013_13] : ((aSet0(W013_13) => (isCountable0(W013_13) => $true))) & ! [W014_14] : (((aSet0(W014_14) & isCountable0(W014_14)) => ~isFinite0(W014_14))) & ! [W015_15] : (((aSet0(W015_15) & isCountable0(W015_15)) => ~=(W015_15, slcrc0))) & ! [W016_16] : ((aSet0(W016_16) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_16) <=> (aSet0(W117_17) & ! [W218_18] : ((aElementOf0(W218_18, W117_17) => aElementOf0(W218_18, W016_16)))))))) & ! [W019_19] : (((aSet0(W019_19) & isFinite0(W019_19)) => ! [W120_20] : ((aSubsetOf0(W120_20, W019_19) => isFinite0(W120_20))))) & ! [W021_21] : ((aSet0(W021_21) => aSubsetOf0(W021_21, W021_21))) & ! [W022_22, W123_23] : (((aSet0(W022_22) & aSet0(W123_23)) => ((aSubsetOf0(W022_22, W123_23) & aSubsetOf0(W123_23, W022_22)) => =(W022_22, W123_23)))) & ! [W024_24, W125_25, W226_26] : ((((aSet0(W024_24) & aSet0(W125_25)) & aSet0(W226_26)) => ((aSubsetOf0(W024_24, W125_25) & aSubsetOf0(W125_25, W226_26)) => aSubsetOf0(W024_24, W226_26)))) & ! [W027_27, W128_28] : (((aSet0(W027_27) & aElement0(W128_28)) => ! [W229_29] : ((=(W229_29, sdtpldt0(W027_27, W128_28)) <=> (aSet0(W229_29) & ! [W330_30] : ((aElementOf0(W330_30, W229_29) <=> (aElement0(W330_30) & (aElementOf0(W330_30, W027_27) | =(W330_30, W128_28)))))))))) & ! [W031_31, W132_32] : (((aSet0(W031_31) & aElement0(W132_32)) => ! [W233_33] : ((=(W233_33, sdtmndt0(W031_31, W132_32)) <=> (aSet0(W233_33) & ! [W334_34] : ((aElementOf0(W334_34, W233_33) <=> ((aElement0(W334_34) & aElementOf0(W334_34, W031_31)) & ~=(W334_34, W132_32))))))))) & ! [W035_35] : ((aSet0(W035_35) => ! [W136_36] : ((aElementOf0(W136_36, W035_35) => =(sdtpldt0(sdtmndt0(W035_35, W136_36), W136_36), W035_35))))) & ! [W037_37, W138_38] : (((aElement0(W037_37) & aSet0(W138_38)) => (~aElementOf0(W037_37, W138_38) => =(sdtmndt0(sdtpldt0(W138_38, W037_37), W037_37), W138_38)))) & ! [W039_39] : ((aElement0(W039_39) => ! [W140_40] : (((aSet0(W140_40) & isCountable0(W140_40)) => isCountable0(sdtpldt0(W140_40, W039_39)))))) & ! [W041_41] : ((aElement0(W041_41) => ! [W142_42] : (((aSet0(W142_42) & isCountable0(W142_42)) => isCountable0(sdtmndt0(W142_42, W041_41)))))) & ! [W043_43] : ((aElement0(W043_43) => ! [W144_44] : (((aSet0(W144_44) & isFinite0(W144_44)) => isFinite0(sdtpldt0(W144_44, W043_43)))))) & ! [W045_45] : ((aElement0(W045_45) => ! [W146_46] : (((aSet0(W146_46) & isFinite0(W146_46)) => isFinite0(sdtmndt0(W146_46, W045_45)))))) & (aSet0(szNzAzT0) & isCountable0(szNzAzT0)) & aElementOf0(sz00, szNzAzT0) & ! [W047_47] : ((aElementOf0(W047_47, szNzAzT0) => (aElementOf0(szszuzczcdt0(W047_47), szNzAzT0) & ~=(szszuzczcdt0(W047_47), sz00)))) & ! [W048_48, W149_49] : (((aElementOf0(W048_48, szNzAzT0) & aElementOf0(W149_49, szNzAzT0)) => (=(szszuzczcdt0(W048_48), szszuzczcdt0(W149_49)) => =(W048_48, W149_49)))) & ! [W050_50] : ((aElementOf0(W050_50, szNzAzT0) => (=(W050_50, sz00) | ? [W151_51] : ((aElementOf0(W151_51, szNzAzT0) & =(W050_50, szszuzczcdt0(W151_51))))))) & ! [W052_52] : ((aElementOf0(W052_52, szNzAzT0) => ~=(W052_52, szszuzczcdt0(W052_52)))) & ! [W053_53, W154_54] : (((aElementOf0(W053_53, szNzAzT0) & aElementOf0(W154_54, szNzAzT0)) => (sdtlseqdt0(W053_53, W154_54) => $true))) & ! [W055_55] : ((aElementOf0(W055_55, szNzAzT0) => sdtlseqdt0(sz00, W055_55))) & ! [W056_56] : ((aElementOf0(W056_56, szNzAzT0) => ~sdtlseqdt0(szszuzczcdt0(W056_56), sz00))) & ! [W057_57, W158_58] : (((aElementOf0(W057_57, szNzAzT0) & aElementOf0(W158_58, szNzAzT0)) => (sdtlseqdt0(W057_57, W158_58) <=> sdtlseqdt0(szszuzczcdt0(W057_57), szszuzczcdt0(W158_58))))) & ! [W059_59] : ((aElementOf0(W059_59, szNzAzT0) => sdtlseqdt0(W059_59, szszuzczcdt0(W059_59)))) & ! [W060_60] : ((aElementOf0(W060_60, szNzAzT0) => sdtlseqdt0(W060_60, W060_60))) & ! [W061_61, W162_62] : (((aElementOf0(W061_61, szNzAzT0) & aElementOf0(W162_62, szNzAzT0)) => ((sdtlseqdt0(W061_61, W162_62) & sdtlseqdt0(W162_62, W061_61)) => =(W061_61, W162_62)))) & ! [W063_63, W164_64, W265_65] : ((((aElementOf0(W063_63, szNzAzT0) & aElementOf0(W164_64, szNzAzT0)) & aElementOf0(W265_65, szNzAzT0)) => ((sdtlseqdt0(W063_63, W164_64) & sdtlseqdt0(W164_64, W265_65)) => sdtlseqdt0(W063_63, W265_65)))) & ! [W066_66, W167_67] : (((aElementOf0(W066_66, szNzAzT0) & aElementOf0(W167_67, szNzAzT0)) => (sdtlseqdt0(W066_66, W167_67) | sdtlseqdt0(szszuzczcdt0(W167_67), W066_66)))) & ! [W068_68, W169_69] : (((aElementOf0(W068_68, szNzAzT0) & aElementOf0(W169_69, szNzAzT0)) => (iLess0(W068_68, W169_69) => $true))) & ! [W070_70] : ((aElementOf0(W070_70, szNzAzT0) => iLess0(W070_70, szszuzczcdt0(W070_70)))) & ! [W071_71] : ((aSet0(W071_71) => aElement0(sbrdtbr0(W071_71)))) & ! [W072_72] : ((aSet0(W072_72) => (aElementOf0(sbrdtbr0(W072_72), szNzAzT0) <=> isFinite0(W072_72)))) & ! [W073_73] : ((aSet0(W073_73) => (=(sbrdtbr0(W073_73), sz00) <=> =(W073_73, slcrc0)))) & ! [W074_74] : (((aSet0(W074_74) & isFinite0(W074_74)) => ! [W175_75] : ((aElement0(W175_75) => (~aElementOf0(W175_75, W074_74) => =(sbrdtbr0(sdtpldt0(W074_74, W175_75)), szszuzczcdt0(sbrdtbr0(W074_74)))))))) & ! [W076_76] : ((aSet0(W076_76) => ! [W177_77] : (((isFinite0(W076_76) & aElementOf0(W177_77, W076_76)) => =(szszuzczcdt0(sbrdtbr0(sdtmndt0(W076_76, W177_77))), sbrdtbr0(W076_76)))))) & ! [W078_78] : ((aSet0(W078_78) => ! [W179_79] : (((isFinite0(W078_78) & aSubsetOf0(W179_79, W078_78)) => sdtlseqdt0(sbrdtbr0(W179_79), sbrdtbr0(W078_78)))))) & ! [W080_80, W181_81] : (((aSet0(W080_80) & aElementOf0(W181_81, szNzAzT0)) => ((isFinite0(W080_80) & sdtlseqdt0(W181_81, sbrdtbr0(W080_80))) => ? [W282_82] : ((aSubsetOf0(W282_82, W080_80) & =(sbrdtbr0(W282_82), W181_81)))))) & ! [W083_83] : (((aSubsetOf0(W083_83, szNzAzT0) & ~=(W083_83, slcrc0)) => ! [W184_84] : ((=(W184_84, szmzizndt0(W083_83)) <=> (aElementOf0(W184_84, W083_83) & ! [W285_85] : ((aElementOf0(W285_85, W083_83) => sdtlseqdt0(W184_84, W285_85)))))))) & ! [W086_86] : ((((aSubsetOf0(W086_86, szNzAzT0) & isFinite0(W086_86)) & ~=(W086_86, slcrc0)) => ! [W187_87] : ((=(W187_87, szmzazxdt0(W086_86)) <=> (aElementOf0(W187_87, W086_86) & ! [W288_88] : ((aElementOf0(W288_88, W086_86) => sdtlseqdt0(W288_88, W187_87)))))))) & ! [W089_89, W190_90] : (((((aSubsetOf0(W089_89, szNzAzT0) & aSubsetOf0(W190_90, szNzAzT0)) & ~=(W089_89, slcrc0)) & ~=(W190_90, slcrc0)) => ((aElementOf0(szmzizndt0(W089_89), W190_90) & aElementOf0(szmzizndt0(W190_90), W089_89)) => =(szmzizndt0(W089_89), szmzizndt0(W190_90))))) & ! [W091_91] : ((aElementOf0(W091_91, szNzAzT0) => ! [W192_92] : ((=(W192_92, slbdtrb0(W091_91)) <=> (aSet0(W192_92) & ! [W293_93] : ((aElementOf0(W293_93, W192_92) <=> (aElementOf0(W293_93, szNzAzT0) & sdtlseqdt0(szszuzczcdt0(W293_93), W091_91))))))))) & ! [W094_94] : ((aElementOf0(W094_94, szNzAzT0) => isFinite0(slbdtrb0(W094_94)))) & =(slbdtrb0(sz00), slcrc0) & ! [W095_95, W196_96] : (((aElementOf0(W095_95, szNzAzT0) & aElementOf0(W196_96, szNzAzT0)) => (aElementOf0(W095_95, slbdtrb0(szszuzczcdt0(W196_96))) <=> (aElementOf0(W095_95, slbdtrb0(W196_96)) | =(W095_95, W196_96))))) & ! [W097_97, W198_98] : (((aElementOf0(W097_97, szNzAzT0) & aElementOf0(W198_98, szNzAzT0)) => (sdtlseqdt0(W097_97, W198_98) <=> aSubsetOf0(slbdtrb0(W097_97), slbdtrb0(W198_98))))) & ! [W099_99] : (((aSubsetOf0(W099_99, szNzAzT0) & isFinite0(W099_99)) => ? [W1100_100] : ((aElementOf0(W1100_100, szNzAzT0) & aSubsetOf0(W099_99, slbdtrb0(W1100_100)))))) & ! [W0101_101] : ((aElementOf0(W0101_101, szNzAzT0) => =(sbrdtbr0(slbdtrb0(W0101_101)), W0101_101))) & ! [W0102_102, W1103_103] : (((aSet0(W0102_102) & aElementOf0(W1103_103, szNzAzT0)) => ! [W2104_104] : ((=(W2104_104, slbdtsldtrb0(W0102_102, W1103_103)) <=> (aSet0(W2104_104) & ! [W3105_105] : ((aElementOf0(W3105_105, W2104_104) <=> (aSubsetOf0(W3105_105, W0102_102) & =(sbrdtbr0(W3105_105), W1103_103))))))))) & ! [W0106_106] : (((aSet0(W0106_106) & isFinite0(W0106_106)) => ! [W1107_107] : ((aElementOf0(W1107_107, szNzAzT0) => isFinite0(slbdtsldtrb0(W0106_106, W1107_107)))))) & ! [W0108_108] : (((aSet0(W0108_108) & ~isFinite0(W0108_108)) => ! [W1109_109] : ((aElementOf0(W1109_109, szNzAzT0) => ~=(slbdtsldtrb0(W0108_108, W1109_109), slcrc0))))) & ! [W0110_110] : (((aSet0(W0110_110) & isCountable0(W0110_110)) => ! [W1111_111] : (((aElementOf0(W1111_111, szNzAzT0) & ~=(W1111_111, sz00)) => isCountable0(slbdtsldtrb0(W0110_110, W1111_111)))))) & ! [W0112_112] : ((aElementOf0(W0112_112, szNzAzT0) => ! [W1113_113, W2114_114] : ((((aSet0(W1113_113) & aSet0(W2114_114)) & ~=(W0112_112, sz00)) => ((aSubsetOf0(slbdtsldtrb0(W1113_113, W0112_112), slbdtsldtrb0(W2114_114, W0112_112)) & ~=(slbdtsldtrb0(W1113_113, W0112_112), slcrc0)) => aSubsetOf0(W1113_113, W2114_114)))))) & ! [W0115_115, W1116_116] : (((aSet0(W0115_115) & aElementOf0(W1116_116, szNzAzT0)) => ! [W2117_117] : (((aSubsetOf0(W2117_117, slbdtsldtrb0(W0115_115, W1116_116)) & isFinite0(W2117_117)) => ? [W3118_118] : (((aSubsetOf0(W3118_118, W0115_115) & isFinite0(W3118_118)) & aSubsetOf0(W2117_117, slbdtsldtrb0(W3118_118, W1116_116)))))))) & ! [W0119_119] : ((aFunction0(W0119_119) => $true)) & ! [W0120_120] : ((aFunction0(W0120_120) => aSet0(szDzozmdt0(W0120_120)))) & ! [W0121_121] : ((aFunction0(W0121_121) => ! [W1122_122] : ((aElementOf0(W1122_122, szDzozmdt0(W0121_121)) => aElement0(sdtlpdtrp0(W0121_121, W1122_122)))))) & ! [W0123_123, W1124_124] : (((aFunction0(W0123_123) & aElement0(W1124_124)) => ! [W2125_125] : ((=(W2125_125, sdtlbdtrb0(W0123_123, W1124_124)) <=> (aSet0(W2125_125) & ! [W3126_126] : ((aElementOf0(W3126_126, W2125_125) <=> (aElementOf0(W3126_126, szDzozmdt0(W0123_123)) & =(sdtlpdtrp0(W0123_123, W3126_126), W1124_124))))))))) & ! [W0127_127, W1128_128] : (((aFunction0(W0127_127) & aElement0(W1128_128)) => aSubsetOf0(sdtlbdtrb0(W0127_127, W1128_128), szDzozmdt0(W0127_127)))) & ! [W0129_129] : ((aFunction0(W0129_129) => ! [W1130_130] : ((aSubsetOf0(W1130_130, szDzozmdt0(W0129_129)) => ! [W2131_131] : ((=(W2131_131, sdtlcdtrc0(W0129_129, W1130_130)) <=> (aSet0(W2131_131) & ! [W3132_132] : ((aElementOf0(W3132_132, W2131_131) <=> ? [W4133_133] : ((aElementOf0(W4133_133, W1130_130) & =(sdtlpdtrp0(W0129_129, W4133_133), W3132_132)))))))))))) & ! [W0134_134] : ((aFunction0(W0134_134) => ! [W1135_135] : ((aElementOf0(W1135_135, szDzozmdt0(W0134_134)) => aElementOf0(sdtlpdtrp0(W0134_134, W1135_135), sdtlcdtrc0(W0134_134, szDzozmdt0(W0134_134))))))) & ! [W0136_136] : ((aFunction0(W0136_136) => ! [W1137_137] : ((aSubsetOf0(W1137_137, szDzozmdt0(W0136_136)) => ! [W2138_138] : ((=(W2138_138, sdtexdt0(W0136_136, W1137_137)) <=> ((aFunction0(W2138_138) & =(szDzozmdt0(W2138_138), W1137_137)) & ! [W3139_139] : ((aElementOf0(W3139_139, W1137_137) => =(sdtlpdtrp0(W2138_138, W3139_139), sdtlpdtrp0(W0136_136, W3139_139))))))))))) & ! [W0140_140] : ((aFunction0(W0140_140) => ! [W1141_141] : (((aSubsetOf0(W1141_141, szDzozmdt0(W0140_140)) & isCountable0(W1141_141)) => (! [W2142_142, W3143_143] : ((((aElementOf0(W2142_142, szDzozmdt0(W0140_140)) & aElementOf0(W3143_143, szDzozmdt0(W0140_140))) & ~=(W2142_142, W3143_143)) => ~=(sdtlpdtrp0(W0140_140, W2142_142), sdtlpdtrp0(W0140_140, W3143_143)))) => isCountable0(sdtlcdtrc0(W0140_140, W1141_141))))))) & ! [W0144_144] : ((aFunction0(W0144_144) => ((isCountable0(szDzozmdt0(W0144_144)) & isFinite0(sdtlcdtrc0(W0144_144, szDzozmdt0(W0144_144)))) => (aElement0(szDzizrdt0(W0144_144)) & isCountable0(sdtlbdtrb0(W0144_144, szDzizrdt0(W0144_144))))))) & (aSet0(xT) & isFinite0(xT)) & aElementOf0(xK, szNzAzT0) & (aSubsetOf0(xS, szNzAzT0) & isCountable0(xS)) & ((aFunction0(xc) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))) & aSubsetOf0(sdtlcdtrc0(xc, szDzozmdt0(xc)), xT)) & ! [W0145_145] : ((aElementOf0(W0145_145, szNzAzT0) => ! [W1146_146] : (((aSubsetOf0(W1146_146, szNzAzT0) & isCountable0(W1146_146)) => ! [W2147_147] : ((((aFunction0(W2147_147) & =(szDzozmdt0(W2147_147), slbdtsldtrb0(W1146_146, W0145_145))) & aSubsetOf0(sdtlcdtrc0(W2147_147, szDzozmdt0(W2147_147)), xT)) => (iLess0(W0145_145, xK) => ? [W3148_148] : ((aElementOf0(W3148_148, xT) & ? [W4149_149] : (((aSubsetOf0(W4149_149, W1146_146) & isCountable0(W4149_149)) & ! [W5150_150] : ((aElementOf0(W5150_150, slbdtsldtrb0(W4149_149, W0145_145)) => =(sdtlpdtrp0(W2147_147, W5150_150), W3148_148)))))))))))))) & ~=(xK, sz00) & ~=(xK, sz00) & (aElementOf0(xk, szNzAzT0) & =(szszuzczcdt0(xk), xK)) & (((aFunction0(xN) & =(szDzozmdt0(xN), szNzAzT0)) & =(sdtlpdtrp0(xN, sz00), xS)) & ! [W0151_151] : ((aElementOf0(W0151_151, szNzAzT0) => ((aSubsetOf0(sdtlpdtrp0(xN, W0151_151), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0151_151))) => (aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0151_151)), sdtmndt0(sdtlpdtrp0(xN, W0151_151), szmzizndt0(sdtlpdtrp0(xN, W0151_151)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0151_151)))))))) & ! [W0152_152] : ((aElementOf0(W0152_152, szNzAzT0) => (aSubsetOf0(sdtlpdtrp0(xN, W0152_152), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0152_152))))) & ! [W0153_153, W1154_154] : (((aElementOf0(W0153_153, szNzAzT0) & aElementOf0(W1154_154, szNzAzT0)) => (sdtlseqdt0(W1154_154, W0153_153) => aSubsetOf0(sdtlpdtrp0(xN, W0153_153), sdtlpdtrp0(xN, W1154_154))))) & ! [W0155_155, W1156_156] : ((((aElementOf0(W0155_155, szNzAzT0) & aElementOf0(W1156_156, szNzAzT0)) & ~=(W0155_155, W1156_156)) => ~=(szmzizndt0(sdtlpdtrp0(xN, W0155_155)), szmzizndt0(sdtlpdtrp0(xN, W1156_156))))) & ! [W0157_157] : ((aElementOf0(W0157_157, szNzAzT0) => ! [W1158_158] : (((aSet0(W1158_158) & aElementOf0(W1158_158, slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, W0157_157), szmzizndt0(sdtlpdtrp0(xN, W0157_157))), xk))) => aElementOf0(sdtpldt0(W1158_158, szmzizndt0(sdtlpdtrp0(xN, W0157_157))), slbdtsldtrb0(xS, xK)))))) & ((aFunction0(xC) & =(szDzozmdt0(xC), szNzAzT0)) & ! [W0159_159] : ((aElementOf0(W0159_159, szNzAzT0) => ((aFunction0(sdtlpdtrp0(xC, W0159_159)) & =(szDzozmdt0(sdtlpdtrp0(xC, W0159_159)), slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, W0159_159), szmzizndt0(sdtlpdtrp0(xN, W0159_159))), xk))) & ! [W1160_160] : (((aSet0(W1160_160) & aElementOf0(W1160_160, slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, W0159_159), szmzizndt0(sdtlpdtrp0(xN, W0159_159))), xk))) => =(sdtlpdtrp0(sdtlpdtrp0(xC, W0159_159), W1160_160), sdtlpdtrp0(xc, sdtpldt0(W1160_160, szmzizndt0(sdtlpdtrp0(xN, W0159_159))))))))))) & ! [W0161_161] : ((aElementOf0(W0161_161, szNzAzT0) => aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC, W0161_161), szDzozmdt0(sdtlpdtrp0(xC, W0161_161))), xT))) & ! [W0162_162] : ((aElementOf0(W0162_162, szNzAzT0) => ! [W1163_163] : (((aSubsetOf0(W1163_163, sdtmndt0(sdtlpdtrp0(xN, W0162_162), szmzizndt0(sdtlpdtrp0(xN, W0162_162)))) & isCountable0(W1163_163)) => ! [W2164_164] : (((aSet0(W2164_164) & aElementOf0(W2164_164, slbdtsldtrb0(W1163_163, xk))) => aElementOf0(W2164_164, slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, W0162_162), szmzizndt0(sdtlpdtrp0(xN, W0162_162))), xk)))))))) & ! [W0165_165] : ((aElementOf0(W0165_165, szNzAzT0) => ? [W1166_166] : ((aElementOf0(W1166_166, xT) & ? [W2167_167] : (((aSubsetOf0(W2167_167, sdtmndt0(sdtlpdtrp0(xN, W0165_165), szmzizndt0(sdtlpdtrp0(xN, W0165_165)))) & isCountable0(W2167_167)) & ! [W3168_168] : (((aSet0(W3168_168) & aElementOf0(W3168_168, slbdtsldtrb0(W2167_167, xk))) => =(sdtlpdtrp0(sdtlpdtrp0(xC, W0165_165), W3168_168), W1166_166))))))))) & ! [W0169_169] : ((aElementOf0(W0169_169, szNzAzT0) => ? [W1170_170] : ((aElementOf0(W1170_170, xT) & ! [W2171_171] : (((aSet0(W2171_171) & aElementOf0(W2171_171, slbdtsldtrb0(sdtlpdtrp0(xN, szszuzczcdt0(W0169_169)), xk))) => =(sdtlpdtrp0(sdtlpdtrp0(xC, W0169_169), W2171_171), W1170_170))))))) & ((aFunction0(xe) & =(szDzozmdt0(xe), szNzAzT0)) & ! [W0172_172] : ((aElementOf0(W0172_172, szNzAzT0) => =(sdtlpdtrp0(xe, W0172_172), szmzizndt0(sdtlpdtrp0(xN, W0172_172)))))) & ((aFunction0(xd) & =(szDzozmdt0(xd), szNzAzT0)) & ! [W0173_173] : ((aElementOf0(W0173_173, szNzAzT0) => ! [W1174_174] : (((aSet0(W1174_174) & aElementOf0(W1174_174, slbdtsldtrb0(sdtlpdtrp0(xN, szszuzczcdt0(W0173_173)), xk))) => =(sdtlpdtrp0(xd, W0173_173), sdtlpdtrp0(sdtlpdtrp0(xC, W0173_173), W1174_174))))))) & aSubsetOf0(sdtlcdtrc0(xd, szDzozmdt0(xd)), xT) & (aElementOf0(szDzizrdt0(xd), xT) & isCountable0(sdtlbdtrb0(xd, szDzizrdt0(xd)))) & (aSet0(xO) & =(xO, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd))))) & (aSet0(xO) & isCountable0(xO)) & ! [W0175_175] : ((aElementOf0(W0175_175, xO) => ? [W1176_176] : (((aElementOf0(W1176_176, szNzAzT0) & aElementOf0(W1176_176, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & =(sdtlpdtrp0(xe, W1176_176), W0175_175))))) & aSubsetOf0(xO, xS) & aElementOf0(xQ, slbdtsldtrb0(xO, xK)) & (aSubsetOf0(xQ, xO) & ~=(xQ, slcrc0)) & aSubsetOf0(xQ, szNzAzT0) & aElementOf0(xQ, szDzozmdt0(xc)) & =(xp, szmzizndt0(xQ)) & (aSet0(xP) & =(xP, sdtmndt0(xQ, szmzizndt0(xQ)))) & aElementOf0(xp, xQ) & aElementOf0(xp, xO) & aSubsetOf0(xP, xQ) & aSubsetOf0(xP, xO) & =(sbrdtbr0(xP), xk) & aElementOf0(xP, slbdtsldtrb0(xO, xk)) & ((aElementOf0(xn, sdtlbdtrb0(xd, szDzizrdt0(xd))) & aElementOf0(xn, szNzAzT0)) & =(sdtlpdtrp0(xe, xn), xp)) & =(sdtlpdtrp0(xd, xn), szDzizrdt0(xd)) & aSubsetOf0(xP, sdtlpdtrp0(xN, szszuzczcdt0(xn))) & =(sdtlpdtrp0(xc, xQ), sdtlpdtrp0(xd, xn)) & ~=(sdtlpdtrp0(xc, xQ), szDzizrdt0(xd)))
% 0.73/0.79 -> [1] ! [W06_6] : ((aSet0(W06_6) => $true)), ! [W07_7] : ((aElement0(W07_7) => $true)), ! [W08_8] : ((aSet0(W08_8) => ! [W19_9] : ((aElementOf0(W19_9, W08_8) => aElement0(W19_9))))), ! [W010_10] : ((aSet0(W010_10) => (isFinite0(W010_10) => $true))), ! [W011_11] : ((=(W011_11, slcrc0) <=> (aSet0(W011_11) & ~? [W112_12] : (aElementOf0(W112_12, W011_11))))), isFinite0(slcrc0), ! [W013_13] : ((aSet0(W013_13) => (isCountable0(W013_13) => $true))), ! [W014_14] : (((aSet0(W014_14) & isCountable0(W014_14)) => ~isFinite0(W014_14))), ! [W015_15] : (((aSet0(W015_15) & isCountable0(W015_15)) => ~=(W015_15, slcrc0))), ! [W016_16] : ((aSet0(W016_16) => ! [W117_17] : ((aSubsetOf0(W117_17, W016_16) <=> (aSet0(W117_17) & ! [W218_18] : ((aElementOf0(W218_18, W117_17) => aElementOf0(W218_18, W016_16)))))))), ! [W019_19] : (((aSet0(W019_19) & isFinite0(W019_19)) => ! [W120_20] : ((aSubsetOf0(W120_20, W019_19) => isFinite0(W120_20))))), ! [W021_21] : ((aSet0(W021_21) => aSubsetOf0(W021_21, W021_21))), ! [W022_22, W123_23] : (((aSet0(W022_22) & aSet0(W123_23)) => ((aSubsetOf0(W022_22, W123_23) & aSubsetOf0(W123_23, W022_22)) => =(W022_22, W123_23)))), ! [W024_24, W125_25, W226_26] : ((((aSet0(W024_24) & aSet0(W125_25)) & aSet0(W226_26)) => ((aSubsetOf0(W024_24, W125_25) & aSubsetOf0(W125_25, W226_26)) => aSubsetOf0(W024_24, W226_26)))), ! [W027_27, W128_28] : (((aSet0(W027_27) & aElement0(W128_28)) => ! [W229_29] : ((=(W229_29, sdtpldt0(W027_27, W128_28)) <=> (aSet0(W229_29) & ! [W330_30] : ((aElementOf0(W330_30, W229_29) <=> (aElement0(W330_30) & (aElementOf0(W330_30, W027_27) | =(W330_30, W128_28)))))))))), ! [W031_31, W132_32] : (((aSet0(W031_31) & aElement0(W132_32)) => ! [W233_33] : ((=(W233_33, sdtmndt0(W031_31, W132_32)) <=> (aSet0(W233_33) & ! [W334_34] : ((aElementOf0(W334_34, W233_33) <=> ((aElement0(W334_34) & aElementOf0(W334_34, W031_31)) & ~=(W334_34, W132_32))))))))), ! [W035_35] : ((aSet0(W035_35) => ! [W136_36] : ((aElementOf0(W136_36, W035_35) => =(sdtpldt0(sdtmndt0(W035_35, W136_36), W136_36), W035_35))))), ! [W037_37, W138_38] : (((aElement0(W037_37) & aSet0(W138_38)) => (~aElementOf0(W037_37, W138_38) => =(sdtmndt0(sdtpldt0(W138_38, W037_37), W037_37), W138_38)))), ! [W039_39] : ((aElement0(W039_39) => ! [W140_40] : (((aSet0(W140_40) & isCountable0(W140_40)) => isCountable0(sdtpldt0(W140_40, W039_39)))))), ! [W041_41] : ((aElement0(W041_41) => ! [W142_42] : (((aSet0(W142_42) & isCountable0(W142_42)) => isCountable0(sdtmndt0(W142_42, W041_41)))))), ! [W043_43] : ((aElement0(W043_43) => ! [W144_44] : (((aSet0(W144_44) & isFinite0(W144_44)) => isFinite0(sdtpldt0(W144_44, W043_43)))))), ! [W045_45] : ((aElement0(W045_45) => ! [W146_46] : (((aSet0(W146_46) & isFinite0(W146_46)) => isFinite0(sdtmndt0(W146_46, W045_45)))))), (aSet0(szNzAzT0) & isCountable0(szNzAzT0)), aElementOf0(sz00, szNzAzT0), ! [W047_47] : ((aElementOf0(W047_47, szNzAzT0) => (aElementOf0(szszuzczcdt0(W047_47), szNzAzT0) & ~=(szszuzczcdt0(W047_47), sz00)))), ! [W048_48, W149_49] : (((aElementOf0(W048_48, szNzAzT0) & aElementOf0(W149_49, szNzAzT0)) => (=(szszuzczcdt0(W048_48), szszuzczcdt0(W149_49)) => =(W048_48, W149_49)))), ! [W050_50] : ((aElementOf0(W050_50, szNzAzT0) => (=(W050_50, sz00) | ? [W151_51] : ((aElementOf0(W151_51, szNzAzT0) & =(W050_50, szszuzczcdt0(W151_51))))))), ! [W052_52] : ((aElementOf0(W052_52, szNzAzT0) => ~=(W052_52, szszuzczcdt0(W052_52)))), ! [W053_53, W154_54] : (((aElementOf0(W053_53, szNzAzT0) & aElementOf0(W154_54, szNzAzT0)) => (sdtlseqdt0(W053_53, W154_54) => $true))), ! [W055_55] : ((aElementOf0(W055_55, szNzAzT0) => sdtlseqdt0(sz00, W055_55))), ! [W056_56] : ((aElementOf0(W056_56, szNzAzT0) => ~sdtlseqdt0(szszuzczcdt0(W056_56), sz00))), ! [W057_57, W158_58] : (((aElementOf0(W057_57, szNzAzT0) & aElementOf0(W158_58, szNzAzT0)) => (sdtlseqdt0(W057_57, W158_58) <=> sdtlseqdt0(szszuzczcdt0(W057_57), szszuzczcdt0(W158_58))))), ! [W059_59] : ((aElementOf0(W059_59, szNzAzT0) => sdtlseqdt0(W059_59, szszuzczcdt0(W059_59)))), ! [W060_60] : ((aElementOf0(W060_60, szNzAzT0) => sdtlseqdt0(W060_60, W060_60))), ! [W061_61, W162_62] : (((aElementOf0(W061_61, szNzAzT0) & aElementOf0(W162_62, szNzAzT0)) => ((sdtlseqdt0(W061_61, W162_62) & sdtlseqdt0(W162_62, W061_61)) => =(W061_61, W162_62)))), ! [W063_63, W164_64, W265_65] : ((((aElementOf0(W063_63, szNzAzT0) & aElementOf0(W164_64, szNzAzT0)) & aElementOf0(W265_65, szNzAzT0)) => ((sdtlseqdt0(W063_63, W164_64) & sdtlseqdt0(W164_64, W265_65)) => sdtlseqdt0(W063_63, W265_65)))), ! [W066_66, W167_67] : (((aElementOf0(W066_66, szNzAzT0) & aElementOf0(W167_67, szNzAzT0)) => (sdtlseqdt0(W066_66, W167_67) | sdtlseqdt0(szszuzczcdt0(W167_67), W066_66)))), ! [W068_68, W169_69] : (((aElementOf0(W068_68, szNzAzT0) & aElementOf0(W169_69, szNzAzT0)) => (iLess0(W068_68, W169_69) => $true))), ! [W070_70] : ((aElementOf0(W070_70, szNzAzT0) => iLess0(W070_70, szszuzczcdt0(W070_70)))), ! [W071_71] : ((aSet0(W071_71) => aElement0(sbrdtbr0(W071_71)))), ! [W072_72] : ((aSet0(W072_72) => (aElementOf0(sbrdtbr0(W072_72), szNzAzT0) <=> isFinite0(W072_72)))), ! [W073_73] : ((aSet0(W073_73) => (=(sbrdtbr0(W073_73), sz00) <=> =(W073_73, slcrc0)))), ! [W074_74] : (((aSet0(W074_74) & isFinite0(W074_74)) => ! [W175_75] : ((aElement0(W175_75) => (~aElementOf0(W175_75, W074_74) => =(sbrdtbr0(sdtpldt0(W074_74, W175_75)), szszuzczcdt0(sbrdtbr0(W074_74)))))))), ! [W076_76] : ((aSet0(W076_76) => ! [W177_77] : (((isFinite0(W076_76) & aElementOf0(W177_77, W076_76)) => =(szszuzczcdt0(sbrdtbr0(sdtmndt0(W076_76, W177_77))), sbrdtbr0(W076_76)))))), ! [W078_78] : ((aSet0(W078_78) => ! [W179_79] : (((isFinite0(W078_78) & aSubsetOf0(W179_79, W078_78)) => sdtlseqdt0(sbrdtbr0(W179_79), sbrdtbr0(W078_78)))))), ! [W080_80, W181_81] : (((aSet0(W080_80) & aElementOf0(W181_81, szNzAzT0)) => ((isFinite0(W080_80) & sdtlseqdt0(W181_81, sbrdtbr0(W080_80))) => ? [W282_82] : ((aSubsetOf0(W282_82, W080_80) & =(sbrdtbr0(W282_82), W181_81)))))), ! [W083_83] : (((aSubsetOf0(W083_83, szNzAzT0) & ~=(W083_83, slcrc0)) => ! [W184_84] : ((=(W184_84, szmzizndt0(W083_83)) <=> (aElementOf0(W184_84, W083_83) & ! [W285_85] : ((aElementOf0(W285_85, W083_83) => sdtlseqdt0(W184_84, W285_85)))))))), ! [W086_86] : ((((aSubsetOf0(W086_86, szNzAzT0) & isFinite0(W086_86)) & ~=(W086_86, slcrc0)) => ! [W187_87] : ((=(W187_87, szmzazxdt0(W086_86)) <=> (aElementOf0(W187_87, W086_86) & ! [W288_88] : ((aElementOf0(W288_88, W086_86) => sdtlseqdt0(W288_88, W187_87)))))))), ! [W089_89, W190_90] : (((((aSubsetOf0(W089_89, szNzAzT0) & aSubsetOf0(W190_90, szNzAzT0)) & ~=(W089_89, slcrc0)) & ~=(W190_90, slcrc0)) => ((aElementOf0(szmzizndt0(W089_89), W190_90) & aElementOf0(szmzizndt0(W190_90), W089_89)) => =(szmzizndt0(W089_89), szmzizndt0(W190_90))))), ! [W091_91] : ((aElementOf0(W091_91, szNzAzT0) => ! [W192_92] : ((=(W192_92, slbdtrb0(W091_91)) <=> (aSet0(W192_92) & ! [W293_93] : ((aElementOf0(W293_93, W192_92) <=> (aElementOf0(W293_93, szNzAzT0) & sdtlseqdt0(szszuzczcdt0(W293_93), W091_91))))))))), ! [W094_94] : ((aElementOf0(W094_94, szNzAzT0) => isFinite0(slbdtrb0(W094_94)))), =(slbdtrb0(sz00), slcrc0), ! [W095_95, W196_96] : (((aElementOf0(W095_95, szNzAzT0) & aElementOf0(W196_96, szNzAzT0)) => (aElementOf0(W095_95, slbdtrb0(szszuzczcdt0(W196_96))) <=> (aElementOf0(W095_95, slbdtrb0(W196_96)) | =(W095_95, W196_96))))), ! [W097_97, W198_98] : (((aElementOf0(W097_97, szNzAzT0) & aElementOf0(W198_98, szNzAzT0)) => (sdtlseqdt0(W097_97, W198_98) <=> aSubsetOf0(slbdtrb0(W097_97), slbdtrb0(W198_98))))), ! [W099_99] : (((aSubsetOf0(W099_99, szNzAzT0) & isFinite0(W099_99)) => ? [W1100_100] : ((aElementOf0(W1100_100, szNzAzT0) & aSubsetOf0(W099_99, slbdtrb0(W1100_100)))))), ! [W0101_101] : ((aElementOf0(W0101_101, szNzAzT0) => =(sbrdtbr0(slbdtrb0(W0101_101)), W0101_101))), ! [W0102_102, W1103_103] : (((aSet0(W0102_102) & aElementOf0(W1103_103, szNzAzT0)) => ! [W2104_104] : ((=(W2104_104, slbdtsldtrb0(W0102_102, W1103_103)) <=> (aSet0(W2104_104) & ! [W3105_105] : ((aElementOf0(W3105_105, W2104_104) <=> (aSubsetOf0(W3105_105, W0102_102) & =(sbrdtbr0(W3105_105), W1103_103))))))))), ! [W0106_106] : (((aSet0(W0106_106) & isFinite0(W0106_106)) => ! [W1107_107] : ((aElementOf0(W1107_107, szNzAzT0) => isFinite0(slbdtsldtrb0(W0106_106, W1107_107)))))), ! [W0108_108] : (((aSet0(W0108_108) & ~isFinite0(W0108_108)) => ! [W1109_109] : ((aElementOf0(W1109_109, szNzAzT0) => ~=(slbdtsldtrb0(W0108_108, W1109_109), slcrc0))))), ! [W0110_110] : (((aSet0(W0110_110) & isCountable0(W0110_110)) => ! [W1111_111] : (((aElementOf0(W1111_111, szNzAzT0) & ~=(W1111_111, sz00)) => isCountable0(slbdtsldtrb0(W0110_110, W1111_111)))))), ! [W0112_112] : ((aElementOf0(W0112_112, szNzAzT0) => ! [W1113_113, W2114_114] : ((((aSet0(W1113_113) & aSet0(W2114_114)) & ~=(W0112_112, sz00)) => ((aSubsetOf0(slbdtsldtrb0(W1113_113, W0112_112), slbdtsldtrb0(W2114_114, W0112_112)) & ~=(slbdtsldtrb0(W1113_113, W0112_112), slcrc0)) => aSubsetOf0(W1113_113, W2114_114)))))), ! [W0115_115, W1116_116] : (((aSet0(W0115_115) & aElementOf0(W1116_116, szNzAzT0)) => ! [W2117_117] : (((aSubsetOf0(W2117_117, slbdtsldtrb0(W0115_115, W1116_116)) & isFinite0(W2117_117)) => ? [W3118_118] : (((aSubsetOf0(W3118_118, W0115_115) & isFinite0(W3118_118)) & aSubsetOf0(W2117_117, slbdtsldtrb0(W3118_118, W1116_116)))))))), ! [W0119_119] : ((aFunction0(W0119_119) => $true)), ! [W0120_120] : ((aFunction0(W0120_120) => aSet0(szDzozmdt0(W0120_120)))), ! [W0121_121] : ((aFunction0(W0121_121) => ! [W1122_122] : ((aElementOf0(W1122_122, szDzozmdt0(W0121_121)) => aElement0(sdtlpdtrp0(W0121_121, W1122_122)))))), ! [W0123_123, W1124_124] : (((aFunction0(W0123_123) & aElement0(W1124_124)) => ! [W2125_125] : ((=(W2125_125, sdtlbdtrb0(W0123_123, W1124_124)) <=> (aSet0(W2125_125) & ! [W3126_126] : ((aElementOf0(W3126_126, W2125_125) <=> (aElementOf0(W3126_126, szDzozmdt0(W0123_123)) & =(sdtlpdtrp0(W0123_123, W3126_126), W1124_124))))))))), ! [W0127_127, W1128_128] : (((aFunction0(W0127_127) & aElement0(W1128_128)) => aSubsetOf0(sdtlbdtrb0(W0127_127, W1128_128), szDzozmdt0(W0127_127)))), ! [W0129_129] : ((aFunction0(W0129_129) => ! [W1130_130] : ((aSubsetOf0(W1130_130, szDzozmdt0(W0129_129)) => ! [W2131_131] : ((=(W2131_131, sdtlcdtrc0(W0129_129, W1130_130)) <=> (aSet0(W2131_131) & ! [W3132_132] : ((aElementOf0(W3132_132, W2131_131) <=> ? [W4133_133] : ((aElementOf0(W4133_133, W1130_130) & =(sdtlpdtrp0(W0129_129, W4133_133), W3132_132)))))))))))), ! [W0134_134] : ((aFunction0(W0134_134) => ! [W1135_135] : ((aElementOf0(W1135_135, szDzozmdt0(W0134_134)) => aElementOf0(sdtlpdtrp0(W0134_134, W1135_135), sdtlcdtrc0(W0134_134, szDzozmdt0(W0134_134))))))), ! [W0136_136] : ((aFunction0(W0136_136) => ! [W1137_137] : ((aSubsetOf0(W1137_137, szDzozmdt0(W0136_136)) => ! [W2138_138] : ((=(W2138_138, sdtexdt0(W0136_136, W1137_137)) <=> ((aFunction0(W2138_138) & =(szDzozmdt0(W2138_138), W1137_137)) & ! [W3139_139] : ((aElementOf0(W3139_139, W1137_137) => =(sdtlpdtrp0(W2138_138, W3139_139), sdtlpdtrp0(W0136_136, W3139_139))))))))))), ! [W0140_140] : ((aFunction0(W0140_140) => ! [W1141_141] : (((aSubsetOf0(W1141_141, szDzozmdt0(W0140_140)) & isCountable0(W1141_141)) => (! [W2142_142, W3143_143] : ((((aElementOf0(W2142_142, szDzozmdt0(W0140_140)) & aElementOf0(W3143_143, szDzozmdt0(W0140_140))) & ~=(W2142_142, W3143_143)) => ~=(sdtlpdtrp0(W0140_140, W2142_142), sdtlpdtrp0(W0140_140, W3143_143)))) => isCountable0(sdtlcdtrc0(W0140_140, W1141_141))))))), ! [W0144_144] : ((aFunction0(W0144_144) => ((isCountable0(szDzozmdt0(W0144_144)) & isFinite0(sdtlcdtrc0(W0144_144, szDzozmdt0(W0144_144)))) => (aElement0(szDzizrdt0(W0144_144)) & isCountable0(sdtlbdtrb0(W0144_144, szDzizrdt0(W0144_144))))))), (aSet0(xT) & isFinite0(xT)), aElementOf0(xK, szNzAzT0), (aSubsetOf0(xS, szNzAzT0) & isCountable0(xS)), ((aFunction0(xc) & =(szDzozmdt0(xc), slbdtsldtrb0(xS, xK))) & aSubsetOf0(sdtlcdtrc0(xc, szDzozmdt0(xc)), xT)), ! [W0145_145] : ((aElementOf0(W0145_145, szNzAzT0) => ! [W1146_146] : (((aSubsetOf0(W1146_146, szNzAzT0) & isCountable0(W1146_146)) => ! [W2147_147] : ((((aFunction0(W2147_147) & =(szDzozmdt0(W2147_147), slbdtsldtrb0(W1146_146, W0145_145))) & aSubsetOf0(sdtlcdtrc0(W2147_147, szDzozmdt0(W2147_147)), xT)) => (iLess0(W0145_145, xK) => ? [W3148_148] : ((aElementOf0(W3148_148, xT) & ? [W4149_149] : (((aSubsetOf0(W4149_149, W1146_146) & isCountable0(W4149_149)) & ! [W5150_150] : ((aElementOf0(W5150_150, slbdtsldtrb0(W4149_149, W0145_145)) => =(sdtlpdtrp0(W2147_147, W5150_150), W3148_148)))))))))))))), ~=(xK, sz00), (aElementOf0(xk, szNzAzT0) & =(szszuzczcdt0(xk), xK)), (((aFunction0(xN) & =(szDzozmdt0(xN), szNzAzT0)) & =(sdtlpdtrp0(xN, sz00), xS)) & ! [W0151_151] : ((aElementOf0(W0151_151, szNzAzT0) => ((aSubsetOf0(sdtlpdtrp0(xN, W0151_151), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0151_151))) => (aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(W0151_151)), sdtmndt0(sdtlpdtrp0(xN, W0151_151), szmzizndt0(sdtlpdtrp0(xN, W0151_151)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(W0151_151)))))))), ! [W0152_152] : ((aElementOf0(W0152_152, szNzAzT0) => (aSubsetOf0(sdtlpdtrp0(xN, W0152_152), szNzAzT0) & isCountable0(sdtlpdtrp0(xN, W0152_152))))), ! [W0153_153, W1154_154] : (((aElementOf0(W0153_153, szNzAzT0) & aElementOf0(W1154_154, szNzAzT0)) => (sdtlseqdt0(W1154_154, W0153_153) => aSubsetOf0(sdtlpdtrp0(xN, W0153_153), sdtlpdtrp0(xN, W1154_154))))), ! [W0155_155, W1156_156] : ((((aElementOf0(W0155_155, szNzAzT0) & aElementOf0(W1156_156, szNzAzT0)) & ~=(W0155_155, W1156_156)) => ~=(szmzizndt0(sdtlpdtrp0(xN, W0155_155)), szmzizndt0(sdtlpdtrp0(xN, W1156_156))))), ! [W0157_157] : ((aElementOf0(W0157_157, szNzAzT0) => ! [W1158_158] : (((aSet0(W1158_158) & aElementOf0(W1158_158, slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, W0157_157), szmzizndt0(sdtlpdtrp0(xN, W0157_157))), xk))) => aElementOf0(sdtpldt0(W1158_158, szmzizndt0(sdtlpdtrp0(xN, W0157_157))), slbdtsldtrb0(xS, xK)))))), ((aFunction0(xC) & =(szDzozmdt0(xC), szNzAzT0)) & ! [W0159_159] : ((aElementOf0(W0159_159, szNzAzT0) => ((aFunction0(sdtlpdtrp0(xC, W0159_159)) & =(szDzozmdt0(sdtlpdtrp0(xC, W0159_159)), slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, W0159_159), szmzizndt0(sdtlpdtrp0(xN, W0159_159))), xk))) & ! [W1160_160] : (((aSet0(W1160_160) & aElementOf0(W1160_160, slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, W0159_159), szmzizndt0(sdtlpdtrp0(xN, W0159_159))), xk))) => =(sdtlpdtrp0(sdtlpdtrp0(xC, W0159_159), W1160_160), sdtlpdtrp0(xc, sdtpldt0(W1160_160, szmzizndt0(sdtlpdtrp0(xN, W0159_159))))))))))), ! [W0161_161] : ((aElementOf0(W0161_161, szNzAzT0) => aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC, W0161_161), szDzozmdt0(sdtlpdtrp0(xC, W0161_161))), xT))), ! [W0162_162] : ((aElementOf0(W0162_162, szNzAzT0) => ! [W1163_163] : (((aSubsetOf0(W1163_163, sdtmndt0(sdtlpdtrp0(xN, W0162_162), szmzizndt0(sdtlpdtrp0(xN, W0162_162)))) & isCountable0(W1163_163)) => ! [W2164_164] : (((aSet0(W2164_164) & aElementOf0(W2164_164, slbdtsldtrb0(W1163_163, xk))) => aElementOf0(W2164_164, slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN, W0162_162), szmzizndt0(sdtlpdtrp0(xN, W0162_162))), xk)))))))), ! [W0165_165] : ((aElementOf0(W0165_165, szNzAzT0) => ? [W1166_166] : ((aElementOf0(W1166_166, xT) & ? [W2167_167] : (((aSubsetOf0(W2167_167, sdtmndt0(sdtlpdtrp0(xN, W0165_165), szmzizndt0(sdtlpdtrp0(xN, W0165_165)))) & isCountable0(W2167_167)) & ! [W3168_168] : (((aSet0(W3168_168) & aElementOf0(W3168_168, slbdtsldtrb0(W2167_167, xk))) => =(sdtlpdtrp0(sdtlpdtrp0(xC, W0165_165), W3168_168), W1166_166))))))))), ! [W0169_169] : ((aElementOf0(W0169_169, szNzAzT0) => ? [W1170_170] : ((aElementOf0(W1170_170, xT) & ! [W2171_171] : (((aSet0(W2171_171) & aElementOf0(W2171_171, slbdtsldtrb0(sdtlpdtrp0(xN, szszuzczcdt0(W0169_169)), xk))) => =(sdtlpdtrp0(sdtlpdtrp0(xC, W0169_169), W2171_171), W1170_170))))))), ((aFunction0(xe) & =(szDzozmdt0(xe), szNzAzT0)) & ! [W0172_172] : ((aElementOf0(W0172_172, szNzAzT0) => =(sdtlpdtrp0(xe, W0172_172), szmzizndt0(sdtlpdtrp0(xN, W0172_172)))))), ((aFunction0(xd) & =(szDzozmdt0(xd), szNzAzT0)) & ! [W0173_173] : ((aElementOf0(W0173_173, szNzAzT0) => ! [W1174_174] : (((aSet0(W1174_174) & aElementOf0(W1174_174, slbdtsldtrb0(sdtlpdtrp0(xN, szszuzczcdt0(W0173_173)), xk))) => =(sdtlpdtrp0(xd, W0173_173), sdtlpdtrp0(sdtlpdtrp0(xC, W0173_173), W1174_174))))))), aSubsetOf0(sdtlcdtrc0(xd, szDzozmdt0(xd)), xT), (aElementOf0(szDzizrdt0(xd), xT) & isCountable0(sdtlbdtrb0(xd, szDzizrdt0(xd)))), (aSet0(xO) & =(xO, sdtlcdtrc0(xe, sdtlbdtrb0(xd, szDzizrdt0(xd))))), (aSet0(xO) & isCountable0(xO)), ! [W0175_175] : ((aElementOf0(W0175_175, xO) => ? [W1176_176] : (((aElementOf0(W1176_176, szNzAzT0) & aElementOf0(W1176_176, sdtlbdtrb0(xd, szDzizrdt0(xd)))) & =(sdtlpdtrp0(xe, W1176_176), W0175_175))))), aSubsetOf0(xO, xS), aElementOf0(xQ, slbdtsldtrb0(xO, xK)), (aSubsetOf0(xQ, xO) & ~=(xQ, slcrc0)), aSubsetOf0(xQ, szNzAzT0), aElementOf0(xQ, szDzozmdt0(xc)), =(xp, szmzizndt0(xQ)), (aSet0(xP) & =(xP, sdtmndt0(xQ, szmzizndt0(xQ)))), aElementOf0(xp, xQ), aElementOf0(xp, xO), aSubsetOf0(xP, xQ), aSubsetOf0(xP, xO), =(sbrdtbr0(xP), xk), aElementOf0(xP, slbdtsldtrb0(xO, xk)), ((aElementOf0(xn, sdtlbdtrb0(xd, szDzizrdt0(xd))) & aElementOf0(xn, szNzAzT0)) & =(sdtlpdtrp0(xe, xn), xp)), =(sdtlpdtrp0(xd, xn), szDzizrdt0(xd)), aSubsetOf0(xP, sdtlpdtrp0(xN, szszuzczcdt0(xn))), =(sdtlpdtrp0(xc, xQ), sdtlpdtrp0(xd, xn)), ~=(sdtlpdtrp0(xc, xQ), szDzizrdt0(xd))
% 0.73/0.79
% 0.73/0.79 [1] CLOSURE : =
% 0.73/0.79
% 0.73/0.79 % SZS output end Proof for theBenchmark.p
% 0.73/0.79 [0.424020s][1][Res] 325 goroutines created
% 0.73/0.79 ==== Result ====
% 0.73/0.79 [0.424065s][1][Res] VALID
% 0.73/0.79 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------