TSTP Solution File: SEU820^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU820^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n032.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 : 600s
% DateTime : Tue Jul 19 12:15:09 EDT 2022
% Result : Theorem 7.94s 8.14s
% Output : CNFRefutation 18.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 352
% Syntax : Number of formulae : 3835 ( 32 unt; 343 typ; 8 def)
% Number of atoms : 61549 (22200 equ; 0 cnn)
% Maximal formula atoms : 6 ( 17 avg)
% Number of connectives : 83297 (14977 ~;22750 |; 6 &;45544 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 157 ( 157 >; 0 *; 0 +; 0 <<)
% Number of symbols : 346 ( 343 usr; 217 con; 0-2 aty)
% Number of variables : 6107 ( 5 ^6101 !; 1 ?;6107 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_emptyset,type,
emptyset: $i ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_nonempty,type,
nonempty: $i > $o ).
thf(tp_ordinal,type,
ordinal: $i > $o ).
thf(tp_powerset,type,
powerset: $i > $i ).
thf(tp_powersetE1,type,
powersetE1: $o ).
thf(tp_sK100_SX0,type,
sK100_SX0: $i ).
thf(tp_sK101_SX0,type,
sK101_SX0: $i ).
thf(tp_sK102_SX0,type,
sK102_SX0: $i ).
thf(tp_sK103_SX0,type,
sK103_SX0: $i ).
thf(tp_sK104_SX0,type,
sK104_SX0: $i ).
thf(tp_sK105_SX0,type,
sK105_SX0: $i ).
thf(tp_sK106_SX0,type,
sK106_SX0: $i ).
thf(tp_sK107_SX0,type,
sK107_SX0: $i ).
thf(tp_sK108_SX0,type,
sK108_SX0: $i ).
thf(tp_sK109_SX0,type,
sK109_SX0: $i ).
thf(tp_sK10_SY8,type,
sK10_SY8: $i ).
thf(tp_sK110_SX0,type,
sK110_SX0: $i ).
thf(tp_sK111_SX0,type,
sK111_SX0: $i ).
thf(tp_sK112_SX0,type,
sK112_SX0: $i ).
thf(tp_sK113_SX0,type,
sK113_SX0: $i ).
thf(tp_sK114_SX0,type,
sK114_SX0: $i ).
thf(tp_sK115_SX0,type,
sK115_SX0: $i ).
thf(tp_sK116_SX0,type,
sK116_SX0: $i ).
thf(tp_sK117_SX0,type,
sK117_SX0: $i ).
thf(tp_sK118_SX0,type,
sK118_SX0: $i ).
thf(tp_sK119_SX0,type,
sK119_SX0: $i ).
thf(tp_sK11_SX0,type,
sK11_SX0: $i ).
thf(tp_sK120_SX0,type,
sK120_SX0: $i ).
thf(tp_sK121_SX0,type,
sK121_SX0: $i ).
thf(tp_sK122_SX0,type,
sK122_SX0: $i ).
thf(tp_sK123_SX0,type,
sK123_SX0: $i ).
thf(tp_sK124_SX0,type,
sK124_SX0: $i ).
thf(tp_sK125_SX0,type,
sK125_SX0: $i ).
thf(tp_sK126_SX0,type,
sK126_SX0: $i ).
thf(tp_sK127_SX0,type,
sK127_SX0: $i ).
thf(tp_sK128_SX0,type,
sK128_SX0: $i ).
thf(tp_sK129_SX0,type,
sK129_SX0: $i ).
thf(tp_sK12_SY9,type,
sK12_SY9: $i ).
thf(tp_sK130_SX0,type,
sK130_SX0: $i ).
thf(tp_sK131_SX0,type,
sK131_SX0: $i ).
thf(tp_sK132_SX0,type,
sK132_SX0: $i ).
thf(tp_sK133_SX0,type,
sK133_SX0: $i ).
thf(tp_sK134_SX0,type,
sK134_SX0: $i ).
thf(tp_sK135_SX0,type,
sK135_SX0: $i ).
thf(tp_sK136_SX0,type,
sK136_SX0: $i ).
thf(tp_sK137_SX0,type,
sK137_SX0: $i ).
thf(tp_sK138_SX0,type,
sK138_SX0: $i ).
thf(tp_sK139_SX0,type,
sK139_SX0: $i ).
thf(tp_sK13_SX0,type,
sK13_SX0: $i ).
thf(tp_sK140_SX0,type,
sK140_SX0: $i ).
thf(tp_sK141_SX0,type,
sK141_SX0: $i ).
thf(tp_sK142_SX0,type,
sK142_SX0: $i ).
thf(tp_sK143_SX0,type,
sK143_SX0: $i ).
thf(tp_sK144_SX0,type,
sK144_SX0: $i ).
thf(tp_sK145_SX0,type,
sK145_SX0: $i ).
thf(tp_sK146_SX0,type,
sK146_SX0: $i ).
thf(tp_sK147_SX0,type,
sK147_SX0: $i ).
thf(tp_sK148_SX0,type,
sK148_SX0: $i ).
thf(tp_sK149_SX0,type,
sK149_SX0: $i ).
thf(tp_sK14_SX0,type,
sK14_SX0: $i ).
thf(tp_sK150_SX0,type,
sK150_SX0: $i ).
thf(tp_sK151_SX0,type,
sK151_SX0: $i ).
thf(tp_sK152_SX0,type,
sK152_SX0: $i ).
thf(tp_sK153_SX0,type,
sK153_SX0: $i ).
thf(tp_sK154_SX0,type,
sK154_SX0: $i ).
thf(tp_sK155_SX0,type,
sK155_SX0: $i ).
thf(tp_sK156_SX0,type,
sK156_SX0: $i ).
thf(tp_sK157_SX0,type,
sK157_SX0: $i ).
thf(tp_sK158_SX0,type,
sK158_SX0: $i ).
thf(tp_sK159_SX0,type,
sK159_SX0: $i ).
thf(tp_sK15_SY10,type,
sK15_SY10: $i ).
thf(tp_sK160_SX0,type,
sK160_SX0: $i ).
thf(tp_sK161_SX0,type,
sK161_SX0: $i ).
thf(tp_sK162_SX0,type,
sK162_SX0: $i ).
thf(tp_sK163_SX0,type,
sK163_SX0: $i ).
thf(tp_sK164_SX0,type,
sK164_SX0: $i ).
thf(tp_sK165_SX0,type,
sK165_SX0: $i ).
thf(tp_sK166_SX0,type,
sK166_SX0: $i ).
thf(tp_sK167_SX0,type,
sK167_SX0: $i ).
thf(tp_sK168_SX0,type,
sK168_SX0: $i ).
thf(tp_sK169_SX0,type,
sK169_SX0: $i ).
thf(tp_sK16_SX0,type,
sK16_SX0: $i ).
thf(tp_sK170_SX0,type,
sK170_SX0: $i ).
thf(tp_sK171_SX0,type,
sK171_SX0: $i ).
thf(tp_sK172_SX0,type,
sK172_SX0: $i ).
thf(tp_sK173_SX0,type,
sK173_SX0: $i ).
thf(tp_sK174_SX0,type,
sK174_SX0: $i ).
thf(tp_sK175_SX0,type,
sK175_SX0: $i ).
thf(tp_sK176_SX0,type,
sK176_SX0: $i ).
thf(tp_sK177_SX0,type,
sK177_SX0: $i ).
thf(tp_sK178_SX0,type,
sK178_SX0: $i ).
thf(tp_sK179_SX0,type,
sK179_SX0: $i ).
thf(tp_sK17_SX0,type,
sK17_SX0: $i ).
thf(tp_sK180_SY68,type,
sK180_SY68: $i > $i ).
thf(tp_sK181_SY69,type,
sK181_SY69: $i > $i ).
thf(tp_sK182_SX0,type,
sK182_SX0: $i ).
thf(tp_sK183_SX0,type,
sK183_SX0: $i ).
thf(tp_sK184_SX0,type,
sK184_SX0: $i ).
thf(tp_sK185_SX0,type,
sK185_SX0: $i ).
thf(tp_sK186_SX0,type,
sK186_SX0: $i ).
thf(tp_sK187_SX0,type,
sK187_SX0: $i ).
thf(tp_sK188_SX0,type,
sK188_SX0: $i ).
thf(tp_sK189_SX0,type,
sK189_SX0: $i ).
thf(tp_sK18_SX0,type,
sK18_SX0: $i ).
thf(tp_sK190_SY86,type,
sK190_SY86: $i > $i ).
thf(tp_sK191_SY87,type,
sK191_SY87: $i > $i ).
thf(tp_sK192_SX0,type,
sK192_SX0: $i ).
thf(tp_sK193_SX0,type,
sK193_SX0: $i ).
thf(tp_sK194_SX0,type,
sK194_SX0: $i ).
thf(tp_sK195_SX0,type,
sK195_SX0: $i ).
thf(tp_sK196_SX0,type,
sK196_SX0: $i ).
thf(tp_sK197_SX0,type,
sK197_SX0: $i ).
thf(tp_sK198_SX0,type,
sK198_SX0: $i ).
thf(tp_sK199_SX0,type,
sK199_SX0: $i ).
thf(tp_sK19_SY11,type,
sK19_SY11: $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK200_SX0,type,
sK200_SX0: $i ).
thf(tp_sK201_SX0,type,
sK201_SX0: $i ).
thf(tp_sK202_SX0,type,
sK202_SX0: $i ).
thf(tp_sK203_SX0,type,
sK203_SX0: $i ).
thf(tp_sK204_SX0,type,
sK204_SX0: $i ).
thf(tp_sK205_SX0,type,
sK205_SX0: $i ).
thf(tp_sK206_SX0,type,
sK206_SX0: $i ).
thf(tp_sK207_SX0,type,
sK207_SX0: $i ).
thf(tp_sK208_SX0,type,
sK208_SX0: $i ).
thf(tp_sK209_SX0,type,
sK209_SX0: $i ).
thf(tp_sK20_SX0,type,
sK20_SX0: $i ).
thf(tp_sK210_SX0,type,
sK210_SX0: $i ).
thf(tp_sK211_SX0,type,
sK211_SX0: $i ).
thf(tp_sK212_SX0,type,
sK212_SX0: $i ).
thf(tp_sK213_SX0,type,
sK213_SX0: $i ).
thf(tp_sK214_SX0,type,
sK214_SX0: $i ).
thf(tp_sK215_SX0,type,
sK215_SX0: $i ).
thf(tp_sK216_SY120,type,
sK216_SY120: $i > $i ).
thf(tp_sK217_SY121,type,
sK217_SY121: $i > $i ).
thf(tp_sK218_SY122,type,
sK218_SY122: $i > $i ).
thf(tp_sK219_SY123,type,
sK219_SY123: $i > $i ).
thf(tp_sK21_SX0,type,
sK21_SX0: $i ).
thf(tp_sK220_SY124,type,
sK220_SY124: $i > $i ).
thf(tp_sK221_SY125,type,
sK221_SY125: $i > $i ).
thf(tp_sK222_SY142,type,
sK222_SY142: $i > $i ).
thf(tp_sK223_SY143,type,
sK223_SY143: $i > $i ).
thf(tp_sK224_SY144,type,
sK224_SY144: $i > $i ).
thf(tp_sK225_SY145,type,
sK225_SY145: $i > $i ).
thf(tp_sK226_SY146,type,
sK226_SY146: $i > $i ).
thf(tp_sK227_SY147,type,
sK227_SY147: $i > $i ).
thf(tp_sK228_SY164,type,
sK228_SY164: $i > $i ).
thf(tp_sK229_SY165,type,
sK229_SY165: $i > $i ).
thf(tp_sK22_SX0,type,
sK22_SX0: $i ).
thf(tp_sK230_SY166,type,
sK230_SY166: $i > $i ).
thf(tp_sK231_SY167,type,
sK231_SY167: $i > $i ).
thf(tp_sK232_SY184,type,
sK232_SY184: $i > $i ).
thf(tp_sK233_SY185,type,
sK233_SY185: $i > $i ).
thf(tp_sK234_SY186,type,
sK234_SY186: $i > $i ).
thf(tp_sK235_SY187,type,
sK235_SY187: $i > $i ).
thf(tp_sK236_SY204,type,
sK236_SY204: $i > $i ).
thf(tp_sK237_SY205,type,
sK237_SY205: $i > $i ).
thf(tp_sK238_SY206,type,
sK238_SY206: $i > $i ).
thf(tp_sK239_SY207,type,
sK239_SY207: $i > $i ).
thf(tp_sK23_SX0,type,
sK23_SX0: $i ).
thf(tp_sK240_SY208,type,
sK240_SY208: $i > $i ).
thf(tp_sK241_SY209,type,
sK241_SY209: $i > $i ).
thf(tp_sK242_SY218,type,
sK242_SY218: $i > $i ).
thf(tp_sK243_SY219,type,
sK243_SY219: $i > $i ).
thf(tp_sK244_SY220,type,
sK244_SY220: $i > $i ).
thf(tp_sK245_SY221,type,
sK245_SY221: $i > $i ).
thf(tp_sK246_SY222,type,
sK246_SY222: $i > $i ).
thf(tp_sK247_SY223,type,
sK247_SY223: $i > $i ).
thf(tp_sK248_SY224,type,
sK248_SY224: $i > $i ).
thf(tp_sK249_SY225,type,
sK249_SY225: $i > $i ).
thf(tp_sK24_SX0,type,
sK24_SX0: $i ).
thf(tp_sK250_SY234,type,
sK250_SY234: $i > $i ).
thf(tp_sK251_SY235,type,
sK251_SY235: $i > $i ).
thf(tp_sK252_SY236,type,
sK252_SY236: $i > $i ).
thf(tp_sK253_SY237,type,
sK253_SY237: $i > $i ).
thf(tp_sK254_SY238,type,
sK254_SY238: $i > $i ).
thf(tp_sK255_SY239,type,
sK255_SY239: $i > $i ).
thf(tp_sK256_SY240,type,
sK256_SY240: $i > $i ).
thf(tp_sK257_SY241,type,
sK257_SY241: $i > $i ).
thf(tp_sK258_SY242,type,
sK258_SY242: $i > $i ).
thf(tp_sK259_SY243,type,
sK259_SY243: $i > $i ).
thf(tp_sK25_SY12,type,
sK25_SY12: $i ).
thf(tp_sK260_SY244,type,
sK260_SY244: $i > $i ).
thf(tp_sK261_SY245,type,
sK261_SY245: $i > $i ).
thf(tp_sK262_SY246,type,
sK262_SY246: $i > $i ).
thf(tp_sK263_SY247,type,
sK263_SY247: $i > $i ).
thf(tp_sK264_SY264,type,
sK264_SY264: $i > $i ).
thf(tp_sK265_SY265,type,
sK265_SY265: $i > $i ).
thf(tp_sK266_SY266,type,
sK266_SY266: $i > $i ).
thf(tp_sK267_SY267,type,
sK267_SY267: $i > $i ).
thf(tp_sK268_SY268,type,
sK268_SY268: $i > $i ).
thf(tp_sK269_SY269,type,
sK269_SY269: $i > $i ).
thf(tp_sK26_SY13,type,
sK26_SY13: $i ).
thf(tp_sK270_SY270,type,
sK270_SY270: $i > $i ).
thf(tp_sK271_SY271,type,
sK271_SY271: $i > $i ).
thf(tp_sK272_SY288,type,
sK272_SY288: $i > $i ).
thf(tp_sK273_SY289,type,
sK273_SY289: $i > $i ).
thf(tp_sK274_SY290,type,
sK274_SY290: $i > $i ).
thf(tp_sK275_SY291,type,
sK275_SY291: $i > $i ).
thf(tp_sK276_SY292,type,
sK276_SY292: $i > $i ).
thf(tp_sK277_SY293,type,
sK277_SY293: $i > $i ).
thf(tp_sK278_SY294,type,
sK278_SY294: $i > $i ).
thf(tp_sK279_SY295,type,
sK279_SY295: $i > $i ).
thf(tp_sK27_SX0,type,
sK27_SX0: $i ).
thf(tp_sK280_SY312,type,
sK280_SY312: $i > $i ).
thf(tp_sK281_SY313,type,
sK281_SY313: $i > $i ).
thf(tp_sK282_SY314,type,
sK282_SY314: $i > $i ).
thf(tp_sK283_SY315,type,
sK283_SY315: $i > $i ).
thf(tp_sK284_SY316,type,
sK284_SY316: $i > $i ).
thf(tp_sK285_SY317,type,
sK285_SY317: $i > $i ).
thf(tp_sK286_SY318,type,
sK286_SY318: $i > $i ).
thf(tp_sK287_SY319,type,
sK287_SY319: $i > $i ).
thf(tp_sK288_SY336,type,
sK288_SY336: $i > $i ).
thf(tp_sK289_SY337,type,
sK289_SY337: $i > $i ).
thf(tp_sK28_SX0,type,
sK28_SX0: $i ).
thf(tp_sK290_SY338,type,
sK290_SY338: $i > $i ).
thf(tp_sK291_SY339,type,
sK291_SY339: $i > $i ).
thf(tp_sK292_SY340,type,
sK292_SY340: $i > $i ).
thf(tp_sK293_SY341,type,
sK293_SY341: $i > $i ).
thf(tp_sK294_SY342,type,
sK294_SY342: $i > $i ).
thf(tp_sK295_SY343,type,
sK295_SY343: $i > $i ).
thf(tp_sK296_SY344,type,
sK296_SY344: $i > $i ).
thf(tp_sK297_SY345,type,
sK297_SY345: $i > $i ).
thf(tp_sK298_SY346,type,
sK298_SY346: $i > $i ).
thf(tp_sK299_SY347,type,
sK299_SY347: $i > $i ).
thf(tp_sK29_SX0,type,
sK29_SX0: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK300_SY348,type,
sK300_SY348: $i > $i ).
thf(tp_sK301_SY349,type,
sK301_SY349: $i > $i ).
thf(tp_sK302_SY350,type,
sK302_SY350: $i > $i ).
thf(tp_sK303_SY351,type,
sK303_SY351: $i > $i ).
thf(tp_sK304_SY352,type,
sK304_SY352: $i > $i ).
thf(tp_sK305_SY353,type,
sK305_SY353: $i > $i ).
thf(tp_sK306_SY354,type,
sK306_SY354: $i > $i ).
thf(tp_sK307_SY355,type,
sK307_SY355: $i > $i ).
thf(tp_sK308_SY356,type,
sK308_SY356: $i > $i ).
thf(tp_sK309_SY357,type,
sK309_SY357: $i > $i ).
thf(tp_sK30_SY14,type,
sK30_SY14: $i ).
thf(tp_sK310_SY358,type,
sK310_SY358: $i > $i ).
thf(tp_sK311_SY359,type,
sK311_SY359: $i > $i ).
thf(tp_sK312_SY360,type,
sK312_SY360: $i > $i ).
thf(tp_sK313_SY361,type,
sK313_SY361: $i > $i ).
thf(tp_sK314_SY362,type,
sK314_SY362: $i > $i ).
thf(tp_sK315_SY363,type,
sK315_SY363: $i > $i ).
thf(tp_sK316_SY364,type,
sK316_SY364: $i > $i ).
thf(tp_sK317_SY365,type,
sK317_SY365: $i > $i ).
thf(tp_sK318_SY366,type,
sK318_SY366: $i > $i ).
thf(tp_sK319_SY367,type,
sK319_SY367: $i > $i ).
thf(tp_sK31_SY15,type,
sK31_SY15: $i ).
thf(tp_sK320_SY368,type,
sK320_SY368: $i > $i ).
thf(tp_sK321_SY369,type,
sK321_SY369: $i > $i ).
thf(tp_sK322_SY370,type,
sK322_SY370: $i > $i ).
thf(tp_sK323_SY371,type,
sK323_SY371: $i > $i ).
thf(tp_sK324_SY372,type,
sK324_SY372: $i > $i ).
thf(tp_sK325_SY373,type,
sK325_SY373: $i > $i ).
thf(tp_sK326_SY374,type,
sK326_SY374: $i > $i ).
thf(tp_sK327_SY375,type,
sK327_SY375: $i > $i ).
thf(tp_sK328_SY376,type,
sK328_SY376: $i > $i ).
thf(tp_sK329_SY377,type,
sK329_SY377: $i > $i ).
thf(tp_sK32_SX0,type,
sK32_SX0: $i ).
thf(tp_sK330_SY378,type,
sK330_SY378: $i > $i ).
thf(tp_sK331_SY379,type,
sK331_SY379: $i > $i ).
thf(tp_sK33_SX0,type,
sK33_SX0: $i ).
thf(tp_sK34_SX0,type,
sK34_SX0: $i ).
thf(tp_sK35_SX0,type,
sK35_SX0: $i ).
thf(tp_sK36_SX0,type,
sK36_SX0: $i ).
thf(tp_sK37_SX0,type,
sK37_SX0: $i ).
thf(tp_sK38_SX0,type,
sK38_SX0: $i ).
thf(tp_sK39_SX0,type,
sK39_SX0: $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK40_SX0,type,
sK40_SX0: $i ).
thf(tp_sK41_SX0,type,
sK41_SX0: $i ).
thf(tp_sK42_SX0,type,
sK42_SX0: $i ).
thf(tp_sK43_SX0,type,
sK43_SX0: $i ).
thf(tp_sK44_SX0,type,
sK44_SX0: $i ).
thf(tp_sK45_SX0,type,
sK45_SX0: $i ).
thf(tp_sK46_SX0,type,
sK46_SX0: $i ).
thf(tp_sK47_SX0,type,
sK47_SX0: $i ).
thf(tp_sK48_SX0,type,
sK48_SX0: $i ).
thf(tp_sK49_SX0,type,
sK49_SX0: $i ).
thf(tp_sK4_SY2,type,
sK4_SY2: $i ).
thf(tp_sK50_SX0,type,
sK50_SX0: $i ).
thf(tp_sK51_SX0,type,
sK51_SX0: $i ).
thf(tp_sK52_SX0,type,
sK52_SX0: $i ).
thf(tp_sK53_SX0,type,
sK53_SX0: $i ).
thf(tp_sK54_SX0,type,
sK54_SX0: $i ).
thf(tp_sK55_SX0,type,
sK55_SX0: $i ).
thf(tp_sK56_SX0,type,
sK56_SX0: $i ).
thf(tp_sK57_SX0,type,
sK57_SX0: $i ).
thf(tp_sK58_SX0,type,
sK58_SX0: $i ).
thf(tp_sK59_SX0,type,
sK59_SX0: $i ).
thf(tp_sK5_SY4,type,
sK5_SY4: $i ).
thf(tp_sK60_SX0,type,
sK60_SX0: $i ).
thf(tp_sK61_SX0,type,
sK61_SX0: $i ).
thf(tp_sK62_SX0,type,
sK62_SX0: $i ).
thf(tp_sK63_SX0,type,
sK63_SX0: $i ).
thf(tp_sK64_SY20,type,
sK64_SY20: $i ).
thf(tp_sK65_SY21,type,
sK65_SY21: $i ).
thf(tp_sK66_SX0,type,
sK66_SX0: $i ).
thf(tp_sK67_SX0,type,
sK67_SX0: $i ).
thf(tp_sK68_SX0,type,
sK68_SX0: $i ).
thf(tp_sK69_SX0,type,
sK69_SX0: $i ).
thf(tp_sK6_SX0,type,
sK6_SX0: $i ).
thf(tp_sK70_SX0,type,
sK70_SX0: $i ).
thf(tp_sK71_SX0,type,
sK71_SX0: $i ).
thf(tp_sK72_SX0,type,
sK72_SX0: $i ).
thf(tp_sK73_SX0,type,
sK73_SX0: $i ).
thf(tp_sK74_SX0,type,
sK74_SX0: $i ).
thf(tp_sK75_SX0,type,
sK75_SX0: $i ).
thf(tp_sK76_SY26,type,
sK76_SY26: $i ).
thf(tp_sK77_SY27,type,
sK77_SY27: $i ).
thf(tp_sK78_SX0,type,
sK78_SX0: $i ).
thf(tp_sK79_SX0,type,
sK79_SX0: $i ).
thf(tp_sK7_SY6,type,
sK7_SY6: $i ).
thf(tp_sK80_SX0,type,
sK80_SX0: $i ).
thf(tp_sK81_SX0,type,
sK81_SX0: $i ).
thf(tp_sK82_SX0,type,
sK82_SX0: $i ).
thf(tp_sK83_SX0,type,
sK83_SX0: $i ).
thf(tp_sK84_SX0,type,
sK84_SX0: $i ).
thf(tp_sK85_SX0,type,
sK85_SX0: $i ).
thf(tp_sK86_SX0,type,
sK86_SX0: $i ).
thf(tp_sK87_SX0,type,
sK87_SX0: $i ).
thf(tp_sK88_SX0,type,
sK88_SX0: $i ).
thf(tp_sK89_SX0,type,
sK89_SX0: $i ).
thf(tp_sK8_SX0,type,
sK8_SX0: $i ).
thf(tp_sK90_SX0,type,
sK90_SX0: $i ).
thf(tp_sK91_SX0,type,
sK91_SX0: $i ).
thf(tp_sK92_SX0,type,
sK92_SX0: $i ).
thf(tp_sK93_SX0,type,
sK93_SX0: $i ).
thf(tp_sK94_SX0,type,
sK94_SX0: $i ).
thf(tp_sK95_SX0,type,
sK95_SX0: $i ).
thf(tp_sK96_SX0,type,
sK96_SX0: $i ).
thf(tp_sK97_SX0,type,
sK97_SX0: $i ).
thf(tp_sK98_SX0,type,
sK98_SX0: $i ).
thf(tp_sK99_SX0,type,
sK99_SX0: $i ).
thf(tp_sK9_SY7,type,
sK9_SY7: $i ).
thf(tp_stricttotalorderedByIn,type,
stricttotalorderedByIn: $i > $o ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(tp_subsetemptysetimpeq,type,
subsetemptysetimpeq: $o ).
thf(tp_transitiveset,type,
transitiveset: $i > $o ).
thf(tp_vacuousDall,type,
vacuousDall: $o ).
thf(tp_wellorderedByIn,type,
wellorderedByIn: $i > $o ).
thf(nonempty,definition,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonempty) ).
thf(ordinal,definition,
( ordinal
= ( ^ [Xx: $i] :
( ( transitiveset @ Xx )
& ( wellorderedByIn @ Xx ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinal) ).
thf(powersetE1,definition,
( powersetE1
= ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( subset @ B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetE1) ).
thf(stricttotalorderedByIn,definition,
( stricttotalorderedByIn
= ( ^ [A: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [X: $i] :
( ( in @ X @ A )
=> ! [Y: $i] :
( ( in @ Y @ A )
=> ( ( ( in @ Xx @ X )
& ( in @ X @ Y ) )
=> ( in @ Xx @ Y ) ) ) ) )
& ! [X: $i] :
( ( in @ X @ A )
=> ! [Y: $i] :
( ( in @ Y @ A )
=> ( ( X = Y )
| ( in @ X @ Y )
| ( in @ Y @ X ) ) ) )
& ! [X: $i] :
( ( in @ X @ A )
=> ~ ( in @ X @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stricttotalorderedByIn) ).
thf(subsetemptysetimpeq,definition,
( subsetemptysetimpeq
= ( ! [A: $i] :
( ( subset @ A @ emptyset )
=> ( A = emptyset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetemptysetimpeq) ).
thf(transitiveset,definition,
( transitiveset
= ( ^ [A: $i] :
! [X: $i] :
( ( in @ X @ A )
=> ( subset @ X @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitiveset) ).
thf(vacuousDall,definition,
( vacuousDall
= ( ! [Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ emptyset )
=> ( Xphi @ Xx ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',vacuousDall) ).
thf(wellorderedByIn,definition,
( wellorderedByIn
= ( ^ [A: $i] :
( ( stricttotalorderedByIn @ A )
& ! [X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( ( nonempty @ X )
=> ? [Xx: $i] :
( ( in @ Xx @ X )
& ! [Y: $i] :
( ( in @ Y @ X )
=> ( ( Xx = Y )
| ( in @ Xx @ Y ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellorderedByIn) ).
thf(1,conjecture,
( vacuousDall
=> ( subsetemptysetimpeq
=> ( powersetE1
=> ( ordinal @ emptyset ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetOrdinal) ).
thf(2,negated_conjecture,
( ( vacuousDall
=> ( subsetemptysetimpeq
=> ( powersetE1
=> ( ordinal @ emptyset ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
vacuousDall = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(4,plain,
subsetemptysetimpeq = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(5,plain,
powersetE1 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(6,plain,
( ( ordinal @ emptyset )
= $false ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(7,plain,
( ( ~ ( ordinal @ emptyset ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
powersetE1 = $true,
inference(copy,[status(thm)],[5]) ).
thf(9,plain,
subsetemptysetimpeq = $true,
inference(copy,[status(thm)],[4]) ).
thf(10,plain,
vacuousDall = $true,
inference(copy,[status(thm)],[3]) ).
thf(11,plain,
( ( ~ ( ordinal @ emptyset ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(12,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ( subset @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,nonempty,ordinal,powersetE1,stricttotalorderedByIn,subsetemptysetimpeq,transitiveset,vacuousDall,wellorderedByIn]) ).
thf(13,plain,
( ( ! [SX0: $i] :
( ~ ( subset @ SX0 @ emptyset )
| ( SX0 = emptyset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,nonempty,ordinal,powersetE1,stricttotalorderedByIn,subsetemptysetimpeq,transitiveset,vacuousDall,wellorderedByIn]) ).
thf(14,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ( subset @ SX0 @ emptyset ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,nonempty,ordinal,powersetE1,stricttotalorderedByIn,subsetemptysetimpeq,transitiveset,vacuousDall,wellorderedByIn]) ).
thf(15,plain,
( ( ! [SX0: $i > $o,SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,nonempty,ordinal,powersetE1,stricttotalorderedByIn,subsetemptysetimpeq,transitiveset,vacuousDall,wellorderedByIn]) ).
thf(16,plain,
! [SV1: $i] :
( ( ! [SY0: $i] :
( ~ ( in @ SY0 @ ( powerset @ SV1 ) )
| ( subset @ SY0 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(17,plain,
! [SV2: $i] :
( ( ~ ( subset @ SV2 @ emptyset )
| ( SV2 = emptyset ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(18,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ( subset @ SX0 @ emptyset ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(19,plain,
! [SV3: $i > $o] :
( ( ! [SY1: $i] :
( ~ ( in @ SY1 @ emptyset )
| ( SV3 @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(20,plain,
! [SV1: $i,SV4: $i] :
( ( ~ ( in @ SV4 @ ( powerset @ SV1 ) )
| ( subset @ SV4 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(21,plain,
! [SV2: $i] :
( ( ( ~ ( subset @ SV2 @ emptyset ) )
= $true )
| ( ( SV2 = emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ( subset @ SX0 @ emptyset ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(23,plain,
! [SV3: $i > $o,SV5: $i] :
( ( ~ ( in @ SV5 @ emptyset )
| ( SV3 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV1: $i,SV4: $i] :
( ( ( ~ ( in @ SV4 @ ( powerset @ SV1 ) ) )
= $true )
| ( ( subset @ SV4 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV2: $i] :
( ( ( subset @ SV2 @ emptyset )
= $false )
| ( ( SV2 = emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(26,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ( subset @ SX0 @ emptyset ) ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV3: $i > $o,SV5: $i] :
( ( ( ~ ( in @ SV5 @ emptyset ) )
= $true )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV1: $i,SV4: $i] :
( ( ( in @ SV4 @ ( powerset @ SV1 ) )
= $false )
| ( ( subset @ SV4 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(29,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ( subset @ SX0 @ emptyset ) ) )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV3: $i > $o,SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
( ( ( ~ ( in @ sK1_SX0 @ emptyset )
| ( subset @ sK1_SX0 @ emptyset ) )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[29]) ).
thf(32,plain,
( ( ( ~ ( in @ sK1_SX0 @ emptyset ) )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(33,plain,
( ( ( subset @ sK1_SX0 @ emptyset )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(34,plain,
( ( ( in @ sK1_SX0 @ emptyset )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(35,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(36,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(37,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(38,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(39,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(40,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(41,plain,
( ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
( ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(43,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(44,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(45,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(46,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(47,plain,
( ( ( ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(48,plain,
( ( ( ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(49,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(50,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(51,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(52,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(53,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(54,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ emptyset )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(55,plain,
( ( ( ~ ( in @ sK2_SX0 @ emptyset )
| ! [SY2: $i] :
( ~ ( in @ SY2 @ emptyset )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ emptyset )
| ~ ~ ( ~ ( in @ sK2_SX0 @ SY2 )
| ~ ( in @ SY2 @ SY3 ) )
| ( in @ sK2_SX0 @ SY3 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[53]) ).
thf(56,plain,
( ( ( ~ ( in @ sK3_SX0 @ emptyset )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ emptyset )
| ! [SY5: $i] :
( ~ ( in @ SY5 @ emptyset )
| ~ ~ ( ~ ( in @ sK3_SX0 @ SY4 )
| ~ ( in @ SY4 @ SY5 ) )
| ( in @ sK3_SX0 @ SY5 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[54]) ).
thf(57,plain,
( ( ( ~ ( in @ sK2_SX0 @ emptyset ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(58,plain,
( ( ( ! [SY2: $i] :
( ~ ( in @ SY2 @ emptyset )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ emptyset )
| ~ ~ ( ~ ( in @ sK2_SX0 @ SY2 )
| ~ ( in @ SY2 @ SY3 ) )
| ( in @ sK2_SX0 @ SY3 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(59,plain,
( ( ( ~ ( in @ sK3_SX0 @ emptyset ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(60,plain,
( ( ( ! [SY4: $i] :
( ~ ( in @ SY4 @ emptyset )
| ! [SY5: $i] :
( ~ ( in @ SY5 @ emptyset )
| ~ ~ ( ~ ( in @ sK3_SX0 @ SY4 )
| ~ ( in @ SY4 @ SY5 ) )
| ( in @ sK3_SX0 @ SY5 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(61,plain,
( ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(62,plain,
( ( ( ~ ( in @ sK4_SY2 @ emptyset )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ emptyset )
| ~ ~ ( ~ ( in @ sK2_SX0 @ sK4_SY2 )
| ~ ( in @ sK4_SY2 @ SY6 ) )
| ( in @ sK2_SX0 @ SY6 ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[58]) ).
thf(63,plain,
( ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(64,plain,
( ( ( ~ ( in @ sK5_SY4 @ emptyset )
| ! [SY7: $i] :
( ~ ( in @ SY7 @ emptyset )
| ~ ~ ( ~ ( in @ sK3_SX0 @ sK5_SY4 )
| ~ ( in @ sK5_SY4 @ SY7 ) )
| ( in @ sK3_SX0 @ SY7 ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[60]) ).
thf(65,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
( ( ( ~ ( in @ sK4_SY2 @ emptyset ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(67,plain,
( ( ( ! [SY6: $i] :
( ~ ( in @ SY6 @ emptyset )
| ~ ~ ( ~ ( in @ sK2_SX0 @ sK4_SY2 )
| ~ ( in @ sK4_SY2 @ SY6 ) )
| ( in @ sK2_SX0 @ SY6 ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(68,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(69,plain,
( ( ( ~ ( in @ sK5_SY4 @ emptyset ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(70,plain,
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ emptyset )
| ~ ~ ( ~ ( in @ sK3_SX0 @ sK5_SY4 )
| ~ ( in @ sK5_SY4 @ SY7 ) )
| ( in @ sK3_SX0 @ SY7 ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(71,plain,
( ( ( ~ ( in @ sK6_SX0 @ emptyset )
| ! [SY8: $i] :
( ~ ( in @ SY8 @ emptyset )
| ( sK6_SX0 = SY8 )
| ( in @ sK6_SX0 @ SY8 )
| ( in @ SY8 @ sK6_SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[65]) ).
thf(72,plain,
( ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(73,plain,
( ( ( ~ ( in @ sK7_SY6 @ emptyset )
| ~ ~ ( ~ ( in @ sK2_SX0 @ sK4_SY2 )
| ~ ( in @ sK4_SY2 @ sK7_SY6 ) )
| ( in @ sK2_SX0 @ sK7_SY6 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[67]) ).
thf(74,plain,
( ( ( ~ ( in @ sK8_SX0 @ emptyset )
| ! [SY9: $i] :
( ~ ( in @ SY9 @ emptyset )
| ( sK8_SX0 = SY9 )
| ( in @ sK8_SX0 @ SY9 )
| ( in @ SY9 @ sK8_SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[68]) ).
thf(75,plain,
( ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(76,plain,
( ( ( ~ ( in @ sK9_SY7 @ emptyset )
| ~ ~ ( ~ ( in @ sK3_SX0 @ sK5_SY4 )
| ~ ( in @ sK5_SY4 @ sK9_SY7 ) )
| ( in @ sK3_SX0 @ sK9_SY7 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[70]) ).
thf(77,plain,
( ( ( ~ ( in @ sK6_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(78,plain,
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ emptyset )
| ( sK6_SX0 = SY8 )
| ( in @ sK6_SX0 @ SY8 )
| ( in @ SY8 @ sK6_SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(79,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(80,plain,
( ( ( ~ ( in @ sK7_SY6 @ emptyset ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(81,plain,
( ( ( ~ ~ ( ~ ( in @ sK2_SX0 @ sK4_SY2 )
| ~ ( in @ sK4_SY2 @ sK7_SY6 ) )
| ( in @ sK2_SX0 @ sK7_SY6 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(82,plain,
( ( ( ~ ( in @ sK8_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(83,plain,
( ( ( ! [SY9: $i] :
( ~ ( in @ SY9 @ emptyset )
| ( sK8_SX0 = SY9 )
| ( in @ sK8_SX0 @ SY9 )
| ( in @ SY9 @ sK8_SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(84,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(85,plain,
( ( ( ~ ( in @ sK9_SY7 @ emptyset ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(86,plain,
( ( ( ~ ~ ( ~ ( in @ sK3_SX0 @ sK5_SY4 )
| ~ ( in @ sK5_SY4 @ sK9_SY7 ) )
| ( in @ sK3_SX0 @ sK9_SY7 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(87,plain,
( ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(88,plain,
( ( ( ~ ( in @ sK10_SY8 @ emptyset )
| ( sK6_SX0 = sK10_SY8 )
| ( in @ sK6_SX0 @ sK10_SY8 )
| ( in @ sK10_SY8 @ sK6_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[78]) ).
thf(89,plain,
( ( ( ~ ( in @ sK11_SX0 @ emptyset )
| ! [SY10: $i] :
( ~ ( in @ SY10 @ emptyset )
| ( sK11_SX0 = SY10 )
| ( in @ sK11_SX0 @ SY10 )
| ( in @ SY10 @ sK11_SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[79]) ).
thf(90,plain,
( ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(91,plain,
( ( ( ~ ~ ( ~ ( in @ sK2_SX0 @ sK4_SY2 )
| ~ ( in @ sK4_SY2 @ sK7_SY6 ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(92,plain,
( ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(93,plain,
( ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(94,plain,
( ( ( ~ ( in @ sK12_SY9 @ emptyset )
| ( sK8_SX0 = sK12_SY9 )
| ( in @ sK8_SX0 @ sK12_SY9 )
| ( in @ sK12_SY9 @ sK8_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[83]) ).
thf(95,plain,
( ( ( ~ ( in @ sK13_SX0 @ emptyset )
| ! [SY11: $i] :
( ~ ( in @ SY11 @ emptyset )
| ( sK13_SX0 = SY11 )
| ( in @ sK13_SX0 @ SY11 )
| ( in @ SY11 @ sK13_SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[84]) ).
thf(96,plain,
( ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(97,plain,
( ( ( ~ ~ ( ~ ( in @ sK3_SX0 @ sK5_SY4 )
| ~ ( in @ sK5_SY4 @ sK9_SY7 ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(98,plain,
( ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(99,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(100,plain,
( ( ( ~ ( in @ sK10_SY8 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(101,plain,
( ( ( ( sK6_SX0 = sK10_SY8 )
| ( in @ sK6_SX0 @ sK10_SY8 )
| ( in @ sK10_SY8 @ sK6_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(102,plain,
( ( ( ~ ( in @ sK11_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(103,plain,
( ( ( ! [SY10: $i] :
( ~ ( in @ SY10 @ emptyset )
| ( sK11_SX0 = SY10 )
| ( in @ sK11_SX0 @ SY10 )
| ( in @ SY10 @ sK11_SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(104,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(105,plain,
( ( ( ~ ( ~ ( in @ sK2_SX0 @ sK4_SY2 )
| ~ ( in @ sK4_SY2 @ sK7_SY6 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(106,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(107,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(108,plain,
( ( ( ~ ( in @ sK12_SY9 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(109,plain,
( ( ( ( sK8_SX0 = sK12_SY9 )
| ( in @ sK8_SX0 @ sK12_SY9 )
| ( in @ sK12_SY9 @ sK8_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(110,plain,
( ( ( ~ ( in @ sK13_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(111,plain,
( ( ( ! [SY11: $i] :
( ~ ( in @ SY11 @ emptyset )
| ( sK13_SX0 = SY11 )
| ( in @ sK13_SX0 @ SY11 )
| ( in @ SY11 @ sK13_SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(112,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(113,plain,
( ( ( ~ ( ~ ( in @ sK3_SX0 @ sK5_SY4 )
| ~ ( in @ sK5_SY4 @ sK9_SY7 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(114,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(115,plain,
( ( ( ~ ( in @ sK14_SX0 @ emptyset )
| ~ ( in @ sK14_SX0 @ sK14_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[99]) ).
thf(116,plain,
( ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(117,plain,
( ( ( ( sK6_SX0 = sK10_SY8 )
| ( in @ sK6_SX0 @ sK10_SY8 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(118,plain,
( ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(119,plain,
( ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(120,plain,
( ( ( ~ ( in @ sK15_SY10 @ emptyset )
| ( sK11_SX0 = sK15_SY10 )
| ( in @ sK11_SX0 @ sK15_SY10 )
| ( in @ sK15_SY10 @ sK11_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[103]) ).
thf(121,plain,
( ( ( ~ ( in @ sK16_SX0 @ emptyset )
| ! [SY12: $i] :
( ~ ( in @ SY12 @ emptyset )
| ( sK16_SX0 = SY12 )
| ( in @ sK16_SX0 @ SY12 )
| ( in @ SY12 @ sK16_SX0 ) ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[104]) ).
thf(122,plain,
( ( ( ~ ( in @ sK2_SX0 @ sK4_SY2 )
| ~ ( in @ sK4_SY2 @ sK7_SY6 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(123,plain,
( ( ( ~ ( in @ sK17_SX0 @ emptyset )
| ! [SY13: $i] :
( ~ ( in @ SY13 @ emptyset )
| ( sK17_SX0 = SY13 )
| ( in @ sK17_SX0 @ SY13 )
| ( in @ SY13 @ sK17_SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[106]) ).
thf(124,plain,
( ( ( ~ ( in @ sK18_SX0 @ emptyset )
| ~ ( in @ sK18_SX0 @ sK18_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[107]) ).
thf(125,plain,
( ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(126,plain,
( ( ( ( sK8_SX0 = sK12_SY9 )
| ( in @ sK8_SX0 @ sK12_SY9 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(127,plain,
( ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(128,plain,
( ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(129,plain,
( ( ( ~ ( in @ sK19_SY11 @ emptyset )
| ( sK13_SX0 = sK19_SY11 )
| ( in @ sK13_SX0 @ sK19_SY11 )
| ( in @ sK19_SY11 @ sK13_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[111]) ).
thf(130,plain,
( ( ( ~ ( in @ sK20_SX0 @ emptyset )
| ! [SY14: $i] :
( ~ ( in @ SY14 @ emptyset )
| ( sK20_SX0 = SY14 )
| ( in @ sK20_SX0 @ SY14 )
| ( in @ SY14 @ sK20_SX0 ) ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[112]) ).
thf(131,plain,
( ( ( ~ ( in @ sK3_SX0 @ sK5_SY4 )
| ~ ( in @ sK5_SY4 @ sK9_SY7 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(132,plain,
( ( ( ~ ( in @ sK21_SX0 @ emptyset )
| ! [SY15: $i] :
( ~ ( in @ SY15 @ emptyset )
| ( sK21_SX0 = SY15 )
| ( in @ sK21_SX0 @ SY15 )
| ( in @ SY15 @ sK21_SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[114]) ).
thf(133,plain,
( ( ( ~ ( in @ sK14_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(134,plain,
( ( ( ~ ( in @ sK14_SX0 @ sK14_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(135,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(136,plain,
( ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(137,plain,
( ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(138,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(139,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(140,plain,
( ( ( ~ ( in @ sK15_SY10 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(141,plain,
( ( ( ( sK11_SX0 = sK15_SY10 )
| ( in @ sK11_SX0 @ sK15_SY10 )
| ( in @ sK15_SY10 @ sK11_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(142,plain,
( ( ( ~ ( in @ sK16_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(143,plain,
( ( ( ! [SY12: $i] :
( ~ ( in @ SY12 @ emptyset )
| ( sK16_SX0 = SY12 )
| ( in @ sK16_SX0 @ SY12 )
| ( in @ SY12 @ sK16_SX0 ) ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(144,plain,
( ( ( ~ ( in @ sK2_SX0 @ sK4_SY2 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(145,plain,
( ( ( ~ ( in @ sK4_SY2 @ sK7_SY6 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(146,plain,
( ( ( ~ ( in @ sK17_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(147,plain,
( ( ( ! [SY13: $i] :
( ~ ( in @ SY13 @ emptyset )
| ( sK17_SX0 = SY13 )
| ( in @ sK17_SX0 @ SY13 )
| ( in @ SY13 @ sK17_SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(148,plain,
( ( ( ~ ( in @ sK18_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(149,plain,
( ( ( ~ ( in @ sK18_SX0 @ sK18_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(150,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(151,plain,
( ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(152,plain,
( ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(153,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(154,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(155,plain,
( ( ( ~ ( in @ sK19_SY11 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(156,plain,
( ( ( ( sK13_SX0 = sK19_SY11 )
| ( in @ sK13_SX0 @ sK19_SY11 )
| ( in @ sK19_SY11 @ sK13_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(157,plain,
( ( ( ~ ( in @ sK20_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(158,plain,
( ( ( ! [SY14: $i] :
( ~ ( in @ SY14 @ emptyset )
| ( sK20_SX0 = SY14 )
| ( in @ sK20_SX0 @ SY14 )
| ( in @ SY14 @ sK20_SX0 ) ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(159,plain,
( ( ( ~ ( in @ sK3_SX0 @ sK5_SY4 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(160,plain,
( ( ( ~ ( in @ sK5_SY4 @ sK9_SY7 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(161,plain,
( ( ( ~ ( in @ sK21_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(162,plain,
( ( ( ! [SY15: $i] :
( ~ ( in @ SY15 @ emptyset )
| ( sK21_SX0 = SY15 )
| ( in @ sK21_SX0 @ SY15 )
| ( in @ SY15 @ sK21_SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(163,plain,
( ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(164,plain,
( ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(165,plain,
( ( ( ~ ( in @ sK22_SX0 @ emptyset )
| ~ ( in @ sK22_SX0 @ sK22_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[135]) ).
thf(166,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(167,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(168,plain,
( ( ( ~ ( in @ sK23_SX0 @ emptyset )
| ~ ( in @ sK23_SX0 @ sK23_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[138]) ).
thf(169,plain,
( ( ( ~ ( in @ sK24_SX0 @ emptyset )
| ~ ( in @ sK24_SX0 @ sK24_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[139]) ).
thf(170,plain,
( ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(171,plain,
( ( ( ( sK11_SX0 = sK15_SY10 )
| ( in @ sK11_SX0 @ sK15_SY10 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(172,plain,
( ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(173,plain,
( ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(174,plain,
( ( ( ~ ( in @ sK25_SY12 @ emptyset )
| ( sK16_SX0 = sK25_SY12 )
| ( in @ sK16_SX0 @ sK25_SY12 )
| ( in @ sK25_SY12 @ sK16_SX0 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[143]) ).
thf(175,plain,
( ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(176,plain,
( ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(177,plain,
( ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(178,plain,
( ( ( ~ ( in @ sK26_SY13 @ emptyset )
| ( sK17_SX0 = sK26_SY13 )
| ( in @ sK17_SX0 @ sK26_SY13 )
| ( in @ sK26_SY13 @ sK17_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[147]) ).
thf(179,plain,
( ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(180,plain,
( ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(181,plain,
( ( ( ~ ( in @ sK27_SX0 @ emptyset )
| ~ ( in @ sK27_SX0 @ sK27_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[150]) ).
thf(182,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(183,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(184,plain,
( ( ( ~ ( in @ sK28_SX0 @ emptyset )
| ~ ( in @ sK28_SX0 @ sK28_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[153]) ).
thf(185,plain,
( ( ( ~ ( in @ sK29_SX0 @ emptyset )
| ~ ( in @ sK29_SX0 @ sK29_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[154]) ).
thf(186,plain,
( ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(187,plain,
( ( ( ( sK13_SX0 = sK19_SY11 )
| ( in @ sK13_SX0 @ sK19_SY11 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(188,plain,
( ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(189,plain,
( ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(190,plain,
( ( ( ~ ( in @ sK30_SY14 @ emptyset )
| ( sK20_SX0 = sK30_SY14 )
| ( in @ sK20_SX0 @ sK30_SY14 )
| ( in @ sK30_SY14 @ sK20_SX0 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[158]) ).
thf(191,plain,
( ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(192,plain,
( ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(193,plain,
( ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(194,plain,
( ( ( ~ ( in @ sK31_SY15 @ emptyset )
| ( sK21_SX0 = sK31_SY15 )
| ( in @ sK21_SX0 @ sK31_SY15 )
| ( in @ sK31_SY15 @ sK21_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[162]) ).
thf(195,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(196,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(197,plain,
( ( ( ~ ( in @ sK22_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(198,plain,
( ( ( ~ ( in @ sK22_SX0 @ sK22_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(199,plain,
( ( ( ~ ( in @ sK32_SX0 @ emptyset )
| ~ ( in @ sK32_SX0 @ sK32_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[166]) ).
thf(200,plain,
( ( ( ~ ( in @ sK33_SX0 @ emptyset )
| ~ ( in @ sK33_SX0 @ sK33_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[167]) ).
thf(201,plain,
( ( ( ~ ( in @ sK23_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(202,plain,
( ( ( ~ ( in @ sK23_SX0 @ sK23_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(203,plain,
( ( ( ~ ( in @ sK24_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(204,plain,
( ( ( ~ ( in @ sK24_SX0 @ sK24_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(205,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(206,plain,
( ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(207,plain,
( ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(208,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(209,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(210,plain,
( ( ( ~ ( in @ sK25_SY12 @ emptyset ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(211,plain,
( ( ( ( sK16_SX0 = sK25_SY12 )
| ( in @ sK16_SX0 @ sK25_SY12 )
| ( in @ sK25_SY12 @ sK16_SX0 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(212,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(213,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(214,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(215,plain,
( ( ( ~ ( in @ sK26_SY13 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(216,plain,
( ( ( ( sK17_SX0 = sK26_SY13 )
| ( in @ sK17_SX0 @ sK26_SY13 )
| ( in @ sK26_SY13 @ sK17_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(217,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(218,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(219,plain,
( ( ( ~ ( in @ sK27_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(220,plain,
( ( ( ~ ( in @ sK27_SX0 @ sK27_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(221,plain,
( ( ( ~ ( in @ sK34_SX0 @ emptyset )
| ~ ( in @ sK34_SX0 @ sK34_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[182]) ).
thf(222,plain,
( ( ( ~ ( in @ sK35_SX0 @ emptyset )
| ~ ( in @ sK35_SX0 @ sK35_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[183]) ).
thf(223,plain,
( ( ( ~ ( in @ sK28_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(224,plain,
( ( ( ~ ( in @ sK28_SX0 @ sK28_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(225,plain,
( ( ( ~ ( in @ sK29_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(226,plain,
( ( ( ~ ( in @ sK29_SX0 @ sK29_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(227,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(228,plain,
( ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(229,plain,
( ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(230,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(231,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(232,plain,
( ( ( ~ ( in @ sK30_SY14 @ emptyset ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(233,plain,
( ( ( ( sK20_SX0 = sK30_SY14 )
| ( in @ sK20_SX0 @ sK30_SY14 )
| ( in @ sK30_SY14 @ sK20_SX0 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(234,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(235,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ emptyset )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(236,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(237,plain,
( ( ( ~ ( in @ sK31_SY15 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(238,plain,
( ( ( ( sK21_SX0 = sK31_SY15 )
| ( in @ sK21_SX0 @ sK31_SY15 )
| ( in @ sK31_SY15 @ sK21_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(239,plain,
( ( ( ~ ( in @ sK36_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK36_SX0 != emptyset ) )
| ~ ! [SY16: $i] :
~ ~ ( ~ ( in @ SY16 @ sK36_SX0 )
| ~ ! [SY17: $i] :
( ~ ( in @ SY17 @ sK36_SX0 )
| ( SY16 = SY17 )
| ( in @ SY16 @ SY17 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[195]) ).
thf(240,plain,
( ( ( ~ ( in @ sK37_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK37_SX0 != emptyset ) )
| ~ ! [SY18: $i] :
~ ~ ( ~ ( in @ SY18 @ sK37_SX0 )
| ~ ! [SY19: $i] :
( ~ ( in @ SY19 @ sK37_SX0 )
| ( SY18 = SY19 )
| ( in @ SY18 @ SY19 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[196]) ).
thf(241,plain,
( ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(242,plain,
( ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(243,plain,
( ( ( ~ ( in @ sK32_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(244,plain,
( ( ( ~ ( in @ sK32_SX0 @ sK32_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(245,plain,
( ( ( ~ ( in @ sK33_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(246,plain,
( ( ( ~ ( in @ sK33_SX0 @ sK33_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(247,plain,
( ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(248,plain,
( ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(249,plain,
( ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(250,plain,
( ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(251,plain,
( ( ( ~ ( in @ sK38_SX0 @ emptyset )
| ~ ( in @ sK38_SX0 @ sK38_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[205]) ).
thf(252,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(253,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(254,plain,
( ( ( ~ ( in @ sK39_SX0 @ emptyset )
| ~ ( in @ sK39_SX0 @ sK39_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[208]) ).
thf(255,plain,
( ( ( ~ ( in @ sK40_SX0 @ emptyset )
| ~ ( in @ sK40_SX0 @ sK40_SX0 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[209]) ).
thf(256,plain,
( ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(257,plain,
( ( ( ( sK16_SX0 = sK25_SY12 )
| ( in @ sK16_SX0 @ sK25_SY12 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(258,plain,
( ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(259,plain,
( ( ( ~ ( in @ sK41_SX0 @ emptyset )
| ! [SY20: $i] :
( ~ ( in @ SY20 @ emptyset )
| ( sK41_SX0 = SY20 )
| ( in @ sK41_SX0 @ SY20 )
| ( in @ SY20 @ sK41_SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[212]) ).
thf(260,plain,
( ( ( ~ ( in @ sK42_SX0 @ emptyset )
| ! [SY21: $i] :
( ~ ( in @ SY21 @ emptyset )
| ( sK42_SX0 = SY21 )
| ( in @ sK42_SX0 @ SY21 )
| ( in @ SY21 @ sK42_SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(261,plain,
( ( ( ~ ( in @ sK43_SX0 @ emptyset )
| ~ ( in @ sK43_SX0 @ sK43_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[214]) ).
thf(262,plain,
( ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(263,plain,
( ( ( ( sK17_SX0 = sK26_SY13 )
| ( in @ sK17_SX0 @ sK26_SY13 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(264,plain,
( ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(265,plain,
( ( ( ~ ( in @ sK44_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK44_SX0 != emptyset ) )
| ~ ! [SY22: $i] :
~ ~ ( ~ ( in @ SY22 @ sK44_SX0 )
| ~ ! [SY23: $i] :
( ~ ( in @ SY23 @ sK44_SX0 )
| ( SY22 = SY23 )
| ( in @ SY22 @ SY23 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[217]) ).
thf(266,plain,
( ( ( ~ ( in @ sK45_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK45_SX0 != emptyset ) )
| ~ ! [SY24: $i] :
~ ~ ( ~ ( in @ SY24 @ sK45_SX0 )
| ~ ! [SY25: $i] :
( ~ ( in @ SY25 @ sK45_SX0 )
| ( SY24 = SY25 )
| ( in @ SY24 @ SY25 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[218]) ).
thf(267,plain,
( ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(268,plain,
( ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(269,plain,
( ( ( ~ ( in @ sK34_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(270,plain,
( ( ( ~ ( in @ sK34_SX0 @ sK34_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(271,plain,
( ( ( ~ ( in @ sK35_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(272,plain,
( ( ( ~ ( in @ sK35_SX0 @ sK35_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(273,plain,
( ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(274,plain,
( ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(275,plain,
( ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(276,plain,
( ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(277,plain,
( ( ( ~ ( in @ sK46_SX0 @ emptyset )
| ~ ( in @ sK46_SX0 @ sK46_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[227]) ).
thf(278,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(279,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(280,plain,
( ( ( ~ ( in @ sK47_SX0 @ emptyset )
| ~ ( in @ sK47_SX0 @ sK47_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[230]) ).
thf(281,plain,
( ( ( ~ ( in @ sK48_SX0 @ emptyset )
| ~ ( in @ sK48_SX0 @ sK48_SX0 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[231]) ).
thf(282,plain,
( ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(283,plain,
( ( ( ( sK20_SX0 = sK30_SY14 )
| ( in @ sK20_SX0 @ sK30_SY14 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(284,plain,
( ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(285,plain,
( ( ( ~ ( in @ sK49_SX0 @ emptyset )
| ! [SY26: $i] :
( ~ ( in @ SY26 @ emptyset )
| ( sK49_SX0 = SY26 )
| ( in @ sK49_SX0 @ SY26 )
| ( in @ SY26 @ sK49_SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[234]) ).
thf(286,plain,
( ( ( ~ ( in @ sK50_SX0 @ emptyset )
| ! [SY27: $i] :
( ~ ( in @ SY27 @ emptyset )
| ( sK50_SX0 = SY27 )
| ( in @ sK50_SX0 @ SY27 )
| ( in @ SY27 @ sK50_SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[235]) ).
thf(287,plain,
( ( ( ~ ( in @ sK51_SX0 @ emptyset )
| ~ ( in @ sK51_SX0 @ sK51_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[236]) ).
thf(288,plain,
( ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(289,plain,
( ( ( ( sK21_SX0 = sK31_SY15 )
| ( in @ sK21_SX0 @ sK31_SY15 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(290,plain,
( ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(291,plain,
( ( ( ~ ( in @ sK36_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(292,plain,
( ( ( ~ ( ( sK36_SX0 != emptyset ) )
| ~ ! [SY16: $i] :
~ ~ ( ~ ( in @ SY16 @ sK36_SX0 )
| ~ ! [SY17: $i] :
( ~ ( in @ SY17 @ sK36_SX0 )
| ( SY16 = SY17 )
| ( in @ SY16 @ SY17 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(293,plain,
( ( ( ~ ( in @ sK37_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(294,plain,
( ( ( ~ ( ( sK37_SX0 != emptyset ) )
| ~ ! [SY18: $i] :
~ ~ ( ~ ( in @ SY18 @ sK37_SX0 )
| ~ ! [SY19: $i] :
( ~ ( in @ SY19 @ sK37_SX0 )
| ( SY18 = SY19 )
| ( in @ SY18 @ SY19 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(295,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(296,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(297,plain,
( ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(298,plain,
( ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(299,plain,
( ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(300,plain,
( ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(301,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(302,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(303,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(304,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(305,plain,
( ( ( ~ ( in @ sK38_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(306,plain,
( ( ( ~ ( in @ sK38_SX0 @ sK38_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(307,plain,
( ( ( ~ ( in @ sK52_SX0 @ emptyset )
| ~ ( in @ sK52_SX0 @ sK52_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[252]) ).
thf(308,plain,
( ( ( ~ ( in @ sK53_SX0 @ emptyset )
| ~ ( in @ sK53_SX0 @ sK53_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[253]) ).
thf(309,plain,
( ( ( ~ ( in @ sK39_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(310,plain,
( ( ( ~ ( in @ sK39_SX0 @ sK39_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(311,plain,
( ( ( ~ ( in @ sK40_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(312,plain,
( ( ( ~ ( in @ sK40_SX0 @ sK40_SX0 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(313,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(314,plain,
( ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(315,plain,
( ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(316,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(317,plain,
( ( ( ~ ( in @ sK41_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(318,plain,
( ( ( ! [SY20: $i] :
( ~ ( in @ SY20 @ emptyset )
| ( sK41_SX0 = SY20 )
| ( in @ sK41_SX0 @ SY20 )
| ( in @ SY20 @ sK41_SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(319,plain,
( ( ( ~ ( in @ sK42_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(320,plain,
( ( ( ! [SY21: $i] :
( ~ ( in @ SY21 @ emptyset )
| ( sK42_SX0 = SY21 )
| ( in @ sK42_SX0 @ SY21 )
| ( in @ SY21 @ sK42_SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(321,plain,
( ( ( ~ ( in @ sK43_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(322,plain,
( ( ( ~ ( in @ sK43_SX0 @ sK43_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(323,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(324,plain,
( ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(325,plain,
( ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(326,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(327,plain,
( ( ( ~ ( in @ sK44_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(328,plain,
( ( ( ~ ( ( sK44_SX0 != emptyset ) )
| ~ ! [SY22: $i] :
~ ~ ( ~ ( in @ SY22 @ sK44_SX0 )
| ~ ! [SY23: $i] :
( ~ ( in @ SY23 @ sK44_SX0 )
| ( SY22 = SY23 )
| ( in @ SY22 @ SY23 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(329,plain,
( ( ( ~ ( in @ sK45_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(330,plain,
( ( ( ~ ( ( sK45_SX0 != emptyset ) )
| ~ ! [SY24: $i] :
~ ~ ( ~ ( in @ SY24 @ sK45_SX0 )
| ~ ! [SY25: $i] :
( ~ ( in @ SY25 @ sK45_SX0 )
| ( SY24 = SY25 )
| ( in @ SY24 @ SY25 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(331,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(332,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(333,plain,
( ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(334,plain,
( ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(335,plain,
( ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(336,plain,
( ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(337,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(338,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(339,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(340,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(341,plain,
( ( ( ~ ( in @ sK46_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(342,plain,
( ( ( ~ ( in @ sK46_SX0 @ sK46_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(343,plain,
( ( ( ~ ( in @ sK54_SX0 @ emptyset )
| ~ ( in @ sK54_SX0 @ sK54_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[278]) ).
thf(344,plain,
( ( ( ~ ( in @ sK55_SX0 @ emptyset )
| ~ ( in @ sK55_SX0 @ sK55_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[279]) ).
thf(345,plain,
( ( ( ~ ( in @ sK47_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(346,plain,
( ( ( ~ ( in @ sK47_SX0 @ sK47_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(347,plain,
( ( ( ~ ( in @ sK48_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(348,plain,
( ( ( ~ ( in @ sK48_SX0 @ sK48_SX0 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(349,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(350,plain,
( ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(351,plain,
( ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(352,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(353,plain,
( ( ( ~ ( in @ sK49_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(354,plain,
( ( ( ! [SY26: $i] :
( ~ ( in @ SY26 @ emptyset )
| ( sK49_SX0 = SY26 )
| ( in @ sK49_SX0 @ SY26 )
| ( in @ SY26 @ sK49_SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(355,plain,
( ( ( ~ ( in @ sK50_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(356,plain,
( ( ( ! [SY27: $i] :
( ~ ( in @ SY27 @ emptyset )
| ( sK50_SX0 = SY27 )
| ( in @ sK50_SX0 @ SY27 )
| ( in @ SY27 @ sK50_SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(357,plain,
( ( ( ~ ( in @ sK51_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(358,plain,
( ( ( ~ ( in @ sK51_SX0 @ sK51_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(359,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(360,plain,
( ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(361,plain,
( ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(362,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(363,plain,
( ( ( in @ sK36_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(364,plain,
( ( ( ~ ( ( sK36_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(365,plain,
( ( ( ~ ! [SY16: $i] :
~ ~ ( ~ ( in @ SY16 @ sK36_SX0 )
| ~ ! [SY17: $i] :
( ~ ( in @ SY17 @ sK36_SX0 )
| ( SY16 = SY17 )
| ( in @ SY16 @ SY17 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(366,plain,
( ( ( in @ sK37_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(367,plain,
( ( ( ~ ( ( sK37_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(368,plain,
( ( ( ~ ! [SY18: $i] :
~ ~ ( ~ ( in @ SY18 @ sK37_SX0 )
| ~ ! [SY19: $i] :
( ~ ( in @ SY19 @ sK37_SX0 )
| ( SY18 = SY19 )
| ( in @ SY18 @ SY19 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(369,plain,
( ( ( ~ ( in @ sK56_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK56_SX0 != emptyset ) )
| ~ ! [SY28: $i] :
~ ~ ( ~ ( in @ SY28 @ sK56_SX0 )
| ~ ! [SY29: $i] :
( ~ ( in @ SY29 @ sK56_SX0 )
| ( SY28 = SY29 )
| ( in @ SY28 @ SY29 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[295]) ).
thf(370,plain,
( ( ( ~ ( in @ sK57_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK57_SX0 != emptyset ) )
| ~ ! [SY30: $i] :
~ ~ ( ~ ( in @ SY30 @ sK57_SX0 )
| ~ ! [SY31: $i] :
( ~ ( in @ SY31 @ sK57_SX0 )
| ( SY30 = SY31 )
| ( in @ SY30 @ SY31 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[296]) ).
thf(371,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(372,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(373,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(374,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(375,plain,
( ( ( ~ ( in @ sK58_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK58_SX0 != emptyset ) )
| ~ ! [SY32: $i] :
~ ~ ( ~ ( in @ SY32 @ sK58_SX0 )
| ~ ! [SY33: $i] :
( ~ ( in @ SY33 @ sK58_SX0 )
| ( SY32 = SY33 )
| ( in @ SY32 @ SY33 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[301]) ).
thf(376,plain,
( ( ( ~ ( in @ sK59_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK59_SX0 != emptyset ) )
| ~ ! [SY34: $i] :
~ ~ ( ~ ( in @ SY34 @ sK59_SX0 )
| ~ ! [SY35: $i] :
( ~ ( in @ SY35 @ sK59_SX0 )
| ( SY34 = SY35 )
| ( in @ SY34 @ SY35 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[302]) ).
thf(377,plain,
( ( ( ~ ( in @ sK60_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK60_SX0 != emptyset ) )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( in @ SY36 @ sK60_SX0 )
| ~ ! [SY37: $i] :
( ~ ( in @ SY37 @ sK60_SX0 )
| ( SY36 = SY37 )
| ( in @ SY36 @ SY37 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[303]) ).
thf(378,plain,
( ( ( ~ ( in @ sK61_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK61_SX0 != emptyset ) )
| ~ ! [SY38: $i] :
~ ~ ( ~ ( in @ SY38 @ sK61_SX0 )
| ~ ! [SY39: $i] :
( ~ ( in @ SY39 @ sK61_SX0 )
| ( SY38 = SY39 )
| ( in @ SY38 @ SY39 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[304]) ).
thf(379,plain,
( ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(380,plain,
( ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(381,plain,
( ( ( ~ ( in @ sK52_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(382,plain,
( ( ( ~ ( in @ sK52_SX0 @ sK52_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(383,plain,
( ( ( ~ ( in @ sK53_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(384,plain,
( ( ( ~ ( in @ sK53_SX0 @ sK53_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(385,plain,
( ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(386,plain,
( ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(387,plain,
( ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(388,plain,
( ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(389,plain,
( ( ( ~ ( in @ sK62_SX0 @ emptyset )
| ~ ( in @ sK62_SX0 @ sK62_SX0 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[313]) ).
thf(390,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(391,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(392,plain,
( ( ( ~ ( in @ sK63_SX0 @ emptyset )
| ~ ( in @ sK63_SX0 @ sK63_SX0 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[316]) ).
thf(393,plain,
( ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(394,plain,
( ( ( ~ ( in @ sK64_SY20 @ emptyset )
| ( sK41_SX0 = sK64_SY20 )
| ( in @ sK41_SX0 @ sK64_SY20 )
| ( in @ sK64_SY20 @ sK41_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[318]) ).
thf(395,plain,
( ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(396,plain,
( ( ( ~ ( in @ sK65_SY21 @ emptyset )
| ( sK42_SX0 = sK65_SY21 )
| ( in @ sK42_SX0 @ sK65_SY21 )
| ( in @ sK65_SY21 @ sK42_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[320]) ).
thf(397,plain,
( ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(398,plain,
( ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(399,plain,
( ( ( ~ ( in @ sK66_SX0 @ emptyset )
| ~ ( in @ sK66_SX0 @ sK66_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[323]) ).
thf(400,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(401,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(402,plain,
( ( ( ~ ( in @ sK67_SX0 @ emptyset )
| ~ ( in @ sK67_SX0 @ sK67_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[326]) ).
thf(403,plain,
( ( ( in @ sK44_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(404,plain,
( ( ( ~ ( ( sK44_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(405,plain,
( ( ( ~ ! [SY22: $i] :
~ ~ ( ~ ( in @ SY22 @ sK44_SX0 )
| ~ ! [SY23: $i] :
( ~ ( in @ SY23 @ sK44_SX0 )
| ( SY22 = SY23 )
| ( in @ SY22 @ SY23 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(406,plain,
( ( ( in @ sK45_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(407,plain,
( ( ( ~ ( ( sK45_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(408,plain,
( ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( in @ SY24 @ sK45_SX0 )
| ~ ! [SY25: $i] :
( ~ ( in @ SY25 @ sK45_SX0 )
| ( SY24 = SY25 )
| ( in @ SY24 @ SY25 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(409,plain,
( ( ( ~ ( in @ sK68_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK68_SX0 != emptyset ) )
| ~ ! [SY40: $i] :
~ ~ ( ~ ( in @ SY40 @ sK68_SX0 )
| ~ ! [SY41: $i] :
( ~ ( in @ SY41 @ sK68_SX0 )
| ( SY40 = SY41 )
| ( in @ SY40 @ SY41 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[331]) ).
thf(410,plain,
( ( ( ~ ( in @ sK69_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK69_SX0 != emptyset ) )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( in @ SY42 @ sK69_SX0 )
| ~ ! [SY43: $i] :
( ~ ( in @ SY43 @ sK69_SX0 )
| ( SY42 = SY43 )
| ( in @ SY42 @ SY43 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[332]) ).
thf(411,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(412,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(413,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(414,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(415,plain,
( ( ( ~ ( in @ sK70_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK70_SX0 != emptyset ) )
| ~ ! [SY44: $i] :
~ ~ ( ~ ( in @ SY44 @ sK70_SX0 )
| ~ ! [SY45: $i] :
( ~ ( in @ SY45 @ sK70_SX0 )
| ( SY44 = SY45 )
| ( in @ SY44 @ SY45 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[337]) ).
thf(416,plain,
( ( ( ~ ( in @ sK71_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK71_SX0 != emptyset ) )
| ~ ! [SY46: $i] :
~ ~ ( ~ ( in @ SY46 @ sK71_SX0 )
| ~ ! [SY47: $i] :
( ~ ( in @ SY47 @ sK71_SX0 )
| ( SY46 = SY47 )
| ( in @ SY46 @ SY47 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[338]) ).
thf(417,plain,
( ( ( ~ ( in @ sK72_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK72_SX0 != emptyset ) )
| ~ ! [SY48: $i] :
~ ~ ( ~ ( in @ SY48 @ sK72_SX0 )
| ~ ! [SY49: $i] :
( ~ ( in @ SY49 @ sK72_SX0 )
| ( SY48 = SY49 )
| ( in @ SY48 @ SY49 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[339]) ).
thf(418,plain,
( ( ( ~ ( in @ sK73_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK73_SX0 != emptyset ) )
| ~ ! [SY50: $i] :
~ ~ ( ~ ( in @ SY50 @ sK73_SX0 )
| ~ ! [SY51: $i] :
( ~ ( in @ SY51 @ sK73_SX0 )
| ( SY50 = SY51 )
| ( in @ SY50 @ SY51 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[340]) ).
thf(419,plain,
( ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(420,plain,
( ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(421,plain,
( ( ( ~ ( in @ sK54_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(422,plain,
( ( ( ~ ( in @ sK54_SX0 @ sK54_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(423,plain,
( ( ( ~ ( in @ sK55_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(424,plain,
( ( ( ~ ( in @ sK55_SX0 @ sK55_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(425,plain,
( ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(426,plain,
( ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(427,plain,
( ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(428,plain,
( ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(429,plain,
( ( ( ~ ( in @ sK74_SX0 @ emptyset )
| ~ ( in @ sK74_SX0 @ sK74_SX0 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[349]) ).
thf(430,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(431,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(432,plain,
( ( ( ~ ( in @ sK75_SX0 @ emptyset )
| ~ ( in @ sK75_SX0 @ sK75_SX0 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[352]) ).
thf(433,plain,
( ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(434,plain,
( ( ( ~ ( in @ sK76_SY26 @ emptyset )
| ( sK49_SX0 = sK76_SY26 )
| ( in @ sK49_SX0 @ sK76_SY26 )
| ( in @ sK76_SY26 @ sK49_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[354]) ).
thf(435,plain,
( ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(436,plain,
( ( ( ~ ( in @ sK77_SY27 @ emptyset )
| ( sK50_SX0 = sK77_SY27 )
| ( in @ sK50_SX0 @ sK77_SY27 )
| ( in @ sK77_SY27 @ sK50_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[356]) ).
thf(437,plain,
( ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(438,plain,
( ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(439,plain,
( ( ( ~ ( in @ sK78_SX0 @ emptyset )
| ~ ( in @ sK78_SX0 @ sK78_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[359]) ).
thf(440,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(441,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(442,plain,
( ( ( ~ ( in @ sK79_SX0 @ emptyset )
| ~ ( in @ sK79_SX0 @ sK79_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[362]) ).
thf(443,plain,
( ( ( ( sK36_SX0 != emptyset ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(444,plain,
( ( ( ! [SY16: $i] :
~ ~ ( ~ ( in @ SY16 @ sK36_SX0 )
| ~ ! [SY17: $i] :
( ~ ( in @ SY17 @ sK36_SX0 )
| ( SY16 = SY17 )
| ( in @ SY16 @ SY17 ) ) ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(445,plain,
( ( ( ( sK37_SX0 != emptyset ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(446,plain,
( ( ( ! [SY18: $i] :
~ ~ ( ~ ( in @ SY18 @ sK37_SX0 )
| ~ ! [SY19: $i] :
( ~ ( in @ SY19 @ sK37_SX0 )
| ( SY18 = SY19 )
| ( in @ SY18 @ SY19 ) ) ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(447,plain,
( ( ( ~ ( in @ sK56_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(448,plain,
( ( ( ~ ( ( sK56_SX0 != emptyset ) )
| ~ ! [SY28: $i] :
~ ~ ( ~ ( in @ SY28 @ sK56_SX0 )
| ~ ! [SY29: $i] :
( ~ ( in @ SY29 @ sK56_SX0 )
| ( SY28 = SY29 )
| ( in @ SY28 @ SY29 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(449,plain,
( ( ( ~ ( in @ sK57_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(450,plain,
( ( ( ~ ( ( sK57_SX0 != emptyset ) )
| ~ ! [SY30: $i] :
~ ~ ( ~ ( in @ SY30 @ sK57_SX0 )
| ~ ! [SY31: $i] :
( ~ ( in @ SY31 @ sK57_SX0 )
| ( SY30 = SY31 )
| ( in @ SY30 @ SY31 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(451,plain,
( ( ( ~ ( in @ sK80_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK80_SX0 != emptyset ) )
| ~ ! [SY52: $i] :
~ ~ ( ~ ( in @ SY52 @ sK80_SX0 )
| ~ ! [SY53: $i] :
( ~ ( in @ SY53 @ sK80_SX0 )
| ( SY52 = SY53 )
| ( in @ SY52 @ SY53 ) ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[371]) ).
thf(452,plain,
( ( ( ~ ( in @ sK81_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK81_SX0 != emptyset ) )
| ~ ! [SY54: $i] :
~ ~ ( ~ ( in @ SY54 @ sK81_SX0 )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ sK81_SX0 )
| ( SY54 = SY55 )
| ( in @ SY54 @ SY55 ) ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[372]) ).
thf(453,plain,
( ( ( ~ ( in @ sK82_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK82_SX0 != emptyset ) )
| ~ ! [SY56: $i] :
~ ~ ( ~ ( in @ SY56 @ sK82_SX0 )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ sK82_SX0 )
| ( SY56 = SY57 )
| ( in @ SY56 @ SY57 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[373]) ).
thf(454,plain,
( ( ( ~ ( in @ sK83_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK83_SX0 != emptyset ) )
| ~ ! [SY58: $i] :
~ ~ ( ~ ( in @ SY58 @ sK83_SX0 )
| ~ ! [SY59: $i] :
( ~ ( in @ SY59 @ sK83_SX0 )
| ( SY58 = SY59 )
| ( in @ SY58 @ SY59 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[374]) ).
thf(455,plain,
( ( ( ~ ( in @ sK58_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(456,plain,
( ( ( ~ ( ( sK58_SX0 != emptyset ) )
| ~ ! [SY32: $i] :
~ ~ ( ~ ( in @ SY32 @ sK58_SX0 )
| ~ ! [SY33: $i] :
( ~ ( in @ SY33 @ sK58_SX0 )
| ( SY32 = SY33 )
| ( in @ SY32 @ SY33 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(457,plain,
( ( ( ~ ( in @ sK59_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(458,plain,
( ( ( ~ ( ( sK59_SX0 != emptyset ) )
| ~ ! [SY34: $i] :
~ ~ ( ~ ( in @ SY34 @ sK59_SX0 )
| ~ ! [SY35: $i] :
( ~ ( in @ SY35 @ sK59_SX0 )
| ( SY34 = SY35 )
| ( in @ SY34 @ SY35 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(459,plain,
( ( ( ~ ( in @ sK60_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(460,plain,
( ( ( ~ ( ( sK60_SX0 != emptyset ) )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( in @ SY36 @ sK60_SX0 )
| ~ ! [SY37: $i] :
( ~ ( in @ SY37 @ sK60_SX0 )
| ( SY36 = SY37 )
| ( in @ SY36 @ SY37 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(461,plain,
( ( ( ~ ( in @ sK61_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(462,plain,
( ( ( ~ ( ( sK61_SX0 != emptyset ) )
| ~ ! [SY38: $i] :
~ ~ ( ~ ( in @ SY38 @ sK61_SX0 )
| ~ ! [SY39: $i] :
( ~ ( in @ SY39 @ sK61_SX0 )
| ( SY38 = SY39 )
| ( in @ SY38 @ SY39 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(463,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(464,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(465,plain,
( ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(466,plain,
( ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(467,plain,
( ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(468,plain,
( ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(469,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(470,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(471,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(472,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(473,plain,
( ( ( ~ ( in @ sK62_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(474,plain,
( ( ( ~ ( in @ sK62_SX0 @ sK62_SX0 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(475,plain,
( ( ( ~ ( in @ sK84_SX0 @ emptyset )
| ~ ( in @ sK84_SX0 @ sK84_SX0 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[390]) ).
thf(476,plain,
( ( ( ~ ( in @ sK85_SX0 @ emptyset )
| ~ ( in @ sK85_SX0 @ sK85_SX0 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[391]) ).
thf(477,plain,
( ( ( ~ ( in @ sK63_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(478,plain,
( ( ( ~ ( in @ sK63_SX0 @ sK63_SX0 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(479,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(480,plain,
( ( ( ~ ( in @ sK64_SY20 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(481,plain,
( ( ( ( sK41_SX0 = sK64_SY20 )
| ( in @ sK41_SX0 @ sK64_SY20 )
| ( in @ sK64_SY20 @ sK41_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(482,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(483,plain,
( ( ( ~ ( in @ sK65_SY21 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(484,plain,
( ( ( ( sK42_SX0 = sK65_SY21 )
| ( in @ sK42_SX0 @ sK65_SY21 )
| ( in @ sK65_SY21 @ sK42_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(485,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(486,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(487,plain,
( ( ( ~ ( in @ sK66_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(488,plain,
( ( ( ~ ( in @ sK66_SX0 @ sK66_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(489,plain,
( ( ( ~ ( in @ sK86_SX0 @ emptyset )
| ~ ( in @ sK86_SX0 @ sK86_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[400]) ).
thf(490,plain,
( ( ( ~ ( in @ sK87_SX0 @ emptyset )
| ~ ( in @ sK87_SX0 @ sK87_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[401]) ).
thf(491,plain,
( ( ( ~ ( in @ sK67_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(492,plain,
( ( ( ~ ( in @ sK67_SX0 @ sK67_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(493,plain,
( ( ( ( sK44_SX0 != emptyset ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(494,plain,
( ( ( ! [SY22: $i] :
~ ~ ( ~ ( in @ SY22 @ sK44_SX0 )
| ~ ! [SY23: $i] :
( ~ ( in @ SY23 @ sK44_SX0 )
| ( SY22 = SY23 )
| ( in @ SY22 @ SY23 ) ) ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(495,plain,
( ( ( ( sK45_SX0 != emptyset ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(496,plain,
( ( ( ! [SY24: $i] :
~ ~ ( ~ ( in @ SY24 @ sK45_SX0 )
| ~ ! [SY25: $i] :
( ~ ( in @ SY25 @ sK45_SX0 )
| ( SY24 = SY25 )
| ( in @ SY24 @ SY25 ) ) ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(497,plain,
( ( ( ~ ( in @ sK68_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[409]) ).
thf(498,plain,
( ( ( ~ ( ( sK68_SX0 != emptyset ) )
| ~ ! [SY40: $i] :
~ ~ ( ~ ( in @ SY40 @ sK68_SX0 )
| ~ ! [SY41: $i] :
( ~ ( in @ SY41 @ sK68_SX0 )
| ( SY40 = SY41 )
| ( in @ SY40 @ SY41 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[409]) ).
thf(499,plain,
( ( ( ~ ( in @ sK69_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(500,plain,
( ( ( ~ ( ( sK69_SX0 != emptyset ) )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( in @ SY42 @ sK69_SX0 )
| ~ ! [SY43: $i] :
( ~ ( in @ SY43 @ sK69_SX0 )
| ( SY42 = SY43 )
| ( in @ SY42 @ SY43 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(501,plain,
( ( ( ~ ( in @ sK88_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK88_SX0 != emptyset ) )
| ~ ! [SY60: $i] :
~ ~ ( ~ ( in @ SY60 @ sK88_SX0 )
| ~ ! [SY61: $i] :
( ~ ( in @ SY61 @ sK88_SX0 )
| ( SY60 = SY61 )
| ( in @ SY60 @ SY61 ) ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[411]) ).
thf(502,plain,
( ( ( ~ ( in @ sK89_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK89_SX0 != emptyset ) )
| ~ ! [SY62: $i] :
~ ~ ( ~ ( in @ SY62 @ sK89_SX0 )
| ~ ! [SY63: $i] :
( ~ ( in @ SY63 @ sK89_SX0 )
| ( SY62 = SY63 )
| ( in @ SY62 @ SY63 ) ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[412]) ).
thf(503,plain,
( ( ( ~ ( in @ sK90_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK90_SX0 != emptyset ) )
| ~ ! [SY64: $i] :
~ ~ ( ~ ( in @ SY64 @ sK90_SX0 )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK90_SX0 )
| ( SY64 = SY65 )
| ( in @ SY64 @ SY65 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[413]) ).
thf(504,plain,
( ( ( ~ ( in @ sK91_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK91_SX0 != emptyset ) )
| ~ ! [SY66: $i] :
~ ~ ( ~ ( in @ SY66 @ sK91_SX0 )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK91_SX0 )
| ( SY66 = SY67 )
| ( in @ SY66 @ SY67 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[414]) ).
thf(505,plain,
( ( ( ~ ( in @ sK70_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(506,plain,
( ( ( ~ ( ( sK70_SX0 != emptyset ) )
| ~ ! [SY44: $i] :
~ ~ ( ~ ( in @ SY44 @ sK70_SX0 )
| ~ ! [SY45: $i] :
( ~ ( in @ SY45 @ sK70_SX0 )
| ( SY44 = SY45 )
| ( in @ SY44 @ SY45 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(507,plain,
( ( ( ~ ( in @ sK71_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(508,plain,
( ( ( ~ ( ( sK71_SX0 != emptyset ) )
| ~ ! [SY46: $i] :
~ ~ ( ~ ( in @ SY46 @ sK71_SX0 )
| ~ ! [SY47: $i] :
( ~ ( in @ SY47 @ sK71_SX0 )
| ( SY46 = SY47 )
| ( in @ SY46 @ SY47 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(509,plain,
( ( ( ~ ( in @ sK72_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(510,plain,
( ( ( ~ ( ( sK72_SX0 != emptyset ) )
| ~ ! [SY48: $i] :
~ ~ ( ~ ( in @ SY48 @ sK72_SX0 )
| ~ ! [SY49: $i] :
( ~ ( in @ SY49 @ sK72_SX0 )
| ( SY48 = SY49 )
| ( in @ SY48 @ SY49 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(511,plain,
( ( ( ~ ( in @ sK73_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(512,plain,
( ( ( ~ ( ( sK73_SX0 != emptyset ) )
| ~ ! [SY50: $i] :
~ ~ ( ~ ( in @ SY50 @ sK73_SX0 )
| ~ ! [SY51: $i] :
( ~ ( in @ SY51 @ sK73_SX0 )
| ( SY50 = SY51 )
| ( in @ SY50 @ SY51 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(513,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(514,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(515,plain,
( ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(516,plain,
( ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(517,plain,
( ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(518,plain,
( ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(519,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(520,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(521,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(522,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(523,plain,
( ( ( ~ ( in @ sK74_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(524,plain,
( ( ( ~ ( in @ sK74_SX0 @ sK74_SX0 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(525,plain,
( ( ( ~ ( in @ sK92_SX0 @ emptyset )
| ~ ( in @ sK92_SX0 @ sK92_SX0 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[430]) ).
thf(526,plain,
( ( ( ~ ( in @ sK93_SX0 @ emptyset )
| ~ ( in @ sK93_SX0 @ sK93_SX0 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[431]) ).
thf(527,plain,
( ( ( ~ ( in @ sK75_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(528,plain,
( ( ( ~ ( in @ sK75_SX0 @ sK75_SX0 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(529,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(530,plain,
( ( ( ~ ( in @ sK76_SY26 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(531,plain,
( ( ( ( sK49_SX0 = sK76_SY26 )
| ( in @ sK49_SX0 @ sK76_SY26 )
| ( in @ sK76_SY26 @ sK49_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(532,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(533,plain,
( ( ( ~ ( in @ sK77_SY27 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[436]) ).
thf(534,plain,
( ( ( ( sK50_SX0 = sK77_SY27 )
| ( in @ sK50_SX0 @ sK77_SY27 )
| ( in @ sK77_SY27 @ sK50_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[436]) ).
thf(535,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(536,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(537,plain,
( ( ( ~ ( in @ sK78_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[439]) ).
thf(538,plain,
( ( ( ~ ( in @ sK78_SX0 @ sK78_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[439]) ).
thf(539,plain,
( ( ( ~ ( in @ sK94_SX0 @ emptyset )
| ~ ( in @ sK94_SX0 @ sK94_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[440]) ).
thf(540,plain,
( ( ( ~ ( in @ sK95_SX0 @ emptyset )
| ~ ( in @ sK95_SX0 @ sK95_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[441]) ).
thf(541,plain,
( ( ( ~ ( in @ sK79_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(542,plain,
( ( ( ~ ( in @ sK79_SX0 @ sK79_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(543,plain,
( ( ( sK36_SX0 = emptyset )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(544,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ( in @ SV6 @ sK36_SX0 )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ sK36_SX0 )
| ( SV6 = SY68 )
| ( in @ SV6 @ SY68 ) ) ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(545,plain,
( ( ( sK37_SX0 = emptyset )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(546,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ( in @ SV7 @ sK37_SX0 )
| ~ ! [SY69: $i] :
( ~ ( in @ SY69 @ sK37_SX0 )
| ( SV7 = SY69 )
| ( in @ SV7 @ SY69 ) ) ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(547,plain,
( ( ( in @ sK56_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(548,plain,
( ( ( ~ ( ( sK56_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(549,plain,
( ( ( ~ ! [SY28: $i] :
~ ~ ( ~ ( in @ SY28 @ sK56_SX0 )
| ~ ! [SY29: $i] :
( ~ ( in @ SY29 @ sK56_SX0 )
| ( SY28 = SY29 )
| ( in @ SY28 @ SY29 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(550,plain,
( ( ( in @ sK57_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(551,plain,
( ( ( ~ ( ( sK57_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(552,plain,
( ( ( ~ ! [SY30: $i] :
~ ~ ( ~ ( in @ SY30 @ sK57_SX0 )
| ~ ! [SY31: $i] :
( ~ ( in @ SY31 @ sK57_SX0 )
| ( SY30 = SY31 )
| ( in @ SY30 @ SY31 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(553,plain,
( ( ( ~ ( in @ sK80_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(554,plain,
( ( ( ~ ( ( sK80_SX0 != emptyset ) )
| ~ ! [SY52: $i] :
~ ~ ( ~ ( in @ SY52 @ sK80_SX0 )
| ~ ! [SY53: $i] :
( ~ ( in @ SY53 @ sK80_SX0 )
| ( SY52 = SY53 )
| ( in @ SY52 @ SY53 ) ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(555,plain,
( ( ( ~ ( in @ sK81_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(556,plain,
( ( ( ~ ( ( sK81_SX0 != emptyset ) )
| ~ ! [SY54: $i] :
~ ~ ( ~ ( in @ SY54 @ sK81_SX0 )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ sK81_SX0 )
| ( SY54 = SY55 )
| ( in @ SY54 @ SY55 ) ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(557,plain,
( ( ( ~ ( in @ sK82_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(558,plain,
( ( ( ~ ( ( sK82_SX0 != emptyset ) )
| ~ ! [SY56: $i] :
~ ~ ( ~ ( in @ SY56 @ sK82_SX0 )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ sK82_SX0 )
| ( SY56 = SY57 )
| ( in @ SY56 @ SY57 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(559,plain,
( ( ( ~ ( in @ sK83_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(560,plain,
( ( ( ~ ( ( sK83_SX0 != emptyset ) )
| ~ ! [SY58: $i] :
~ ~ ( ~ ( in @ SY58 @ sK83_SX0 )
| ~ ! [SY59: $i] :
( ~ ( in @ SY59 @ sK83_SX0 )
| ( SY58 = SY59 )
| ( in @ SY58 @ SY59 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(561,plain,
( ( ( in @ sK58_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(562,plain,
( ( ( ~ ( ( sK58_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(563,plain,
( ( ( ~ ! [SY32: $i] :
~ ~ ( ~ ( in @ SY32 @ sK58_SX0 )
| ~ ! [SY33: $i] :
( ~ ( in @ SY33 @ sK58_SX0 )
| ( SY32 = SY33 )
| ( in @ SY32 @ SY33 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(564,plain,
( ( ( in @ sK59_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(565,plain,
( ( ( ~ ( ( sK59_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(566,plain,
( ( ( ~ ! [SY34: $i] :
~ ~ ( ~ ( in @ SY34 @ sK59_SX0 )
| ~ ! [SY35: $i] :
( ~ ( in @ SY35 @ sK59_SX0 )
| ( SY34 = SY35 )
| ( in @ SY34 @ SY35 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(567,plain,
( ( ( in @ sK60_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(568,plain,
( ( ( ~ ( ( sK60_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(569,plain,
( ( ( ~ ! [SY36: $i] :
~ ~ ( ~ ( in @ SY36 @ sK60_SX0 )
| ~ ! [SY37: $i] :
( ~ ( in @ SY37 @ sK60_SX0 )
| ( SY36 = SY37 )
| ( in @ SY36 @ SY37 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(570,plain,
( ( ( in @ sK61_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(571,plain,
( ( ( ~ ( ( sK61_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(572,plain,
( ( ( ~ ! [SY38: $i] :
~ ~ ( ~ ( in @ SY38 @ sK61_SX0 )
| ~ ! [SY39: $i] :
( ~ ( in @ SY39 @ sK61_SX0 )
| ( SY38 = SY39 )
| ( in @ SY38 @ SY39 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(573,plain,
( ( ( ~ ( in @ sK96_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK96_SX0 != emptyset ) )
| ~ ! [SY70: $i] :
~ ~ ( ~ ( in @ SY70 @ sK96_SX0 )
| ~ ! [SY71: $i] :
( ~ ( in @ SY71 @ sK96_SX0 )
| ( SY70 = SY71 )
| ( in @ SY70 @ SY71 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[463]) ).
thf(574,plain,
( ( ( ~ ( in @ sK97_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK97_SX0 != emptyset ) )
| ~ ! [SY72: $i] :
~ ~ ( ~ ( in @ SY72 @ sK97_SX0 )
| ~ ! [SY73: $i] :
( ~ ( in @ SY73 @ sK97_SX0 )
| ( SY72 = SY73 )
| ( in @ SY72 @ SY73 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[464]) ).
thf(575,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(576,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(577,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(578,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(579,plain,
( ( ( ~ ( in @ sK98_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK98_SX0 != emptyset ) )
| ~ ! [SY74: $i] :
~ ~ ( ~ ( in @ SY74 @ sK98_SX0 )
| ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ sK98_SX0 )
| ( SY74 = SY75 )
| ( in @ SY74 @ SY75 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[469]) ).
thf(580,plain,
( ( ( ~ ( in @ sK99_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK99_SX0 != emptyset ) )
| ~ ! [SY76: $i] :
~ ~ ( ~ ( in @ SY76 @ sK99_SX0 )
| ~ ! [SY77: $i] :
( ~ ( in @ SY77 @ sK99_SX0 )
| ( SY76 = SY77 )
| ( in @ SY76 @ SY77 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[470]) ).
thf(581,plain,
( ( ( ~ ( in @ sK100_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK100_SX0 != emptyset ) )
| ~ ! [SY78: $i] :
~ ~ ( ~ ( in @ SY78 @ sK100_SX0 )
| ~ ! [SY79: $i] :
( ~ ( in @ SY79 @ sK100_SX0 )
| ( SY78 = SY79 )
| ( in @ SY78 @ SY79 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[471]) ).
thf(582,plain,
( ( ( ~ ( in @ sK101_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK101_SX0 != emptyset ) )
| ~ ! [SY80: $i] :
~ ~ ( ~ ( in @ SY80 @ sK101_SX0 )
| ~ ! [SY81: $i] :
( ~ ( in @ SY81 @ sK101_SX0 )
| ( SY80 = SY81 )
| ( in @ SY80 @ SY81 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[472]) ).
thf(583,plain,
( ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(584,plain,
( ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(585,plain,
( ( ( ~ ( in @ sK84_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(586,plain,
( ( ( ~ ( in @ sK84_SX0 @ sK84_SX0 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(587,plain,
( ( ( ~ ( in @ sK85_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(588,plain,
( ( ( ~ ( in @ sK85_SX0 @ sK85_SX0 ) )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(589,plain,
( ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(590,plain,
( ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(591,plain,
( ( ( ~ ( in @ sK102_SX0 @ emptyset )
| ~ ( in @ sK102_SX0 @ sK102_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[479]) ).
thf(592,plain,
( ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(593,plain,
( ( ( ( sK41_SX0 = sK64_SY20 )
| ( in @ sK41_SX0 @ sK64_SY20 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(594,plain,
( ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(595,plain,
( ( ( ~ ( in @ sK103_SX0 @ emptyset )
| ~ ( in @ sK103_SX0 @ sK103_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[482]) ).
thf(596,plain,
( ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(597,plain,
( ( ( ( sK42_SX0 = sK65_SY21 )
| ( in @ sK42_SX0 @ sK65_SY21 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(598,plain,
( ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(599,plain,
( ( ( ~ ( in @ sK104_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK104_SX0 != emptyset ) )
| ~ ! [SY82: $i] :
~ ~ ( ~ ( in @ SY82 @ sK104_SX0 )
| ~ ! [SY83: $i] :
( ~ ( in @ SY83 @ sK104_SX0 )
| ( SY82 = SY83 )
| ( in @ SY82 @ SY83 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[485]) ).
thf(600,plain,
( ( ( ~ ( in @ sK105_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK105_SX0 != emptyset ) )
| ~ ! [SY84: $i] :
~ ~ ( ~ ( in @ SY84 @ sK105_SX0 )
| ~ ! [SY85: $i] :
( ~ ( in @ SY85 @ sK105_SX0 )
| ( SY84 = SY85 )
| ( in @ SY84 @ SY85 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[486]) ).
thf(601,plain,
( ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(602,plain,
( ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(603,plain,
( ( ( ~ ( in @ sK86_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(604,plain,
( ( ( ~ ( in @ sK86_SX0 @ sK86_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(605,plain,
( ( ( ~ ( in @ sK87_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(606,plain,
( ( ( ~ ( in @ sK87_SX0 @ sK87_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(607,plain,
( ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(608,plain,
( ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(609,plain,
( ( ( sK44_SX0 = emptyset )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(610,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( in @ SV8 @ sK44_SX0 )
| ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ sK44_SX0 )
| ( SV8 = SY86 )
| ( in @ SV8 @ SY86 ) ) ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(611,plain,
( ( ( sK45_SX0 = emptyset )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(612,plain,
! [SV9: $i] :
( ( ( ~ ~ ( ~ ( in @ SV9 @ sK45_SX0 )
| ~ ! [SY87: $i] :
( ~ ( in @ SY87 @ sK45_SX0 )
| ( SV9 = SY87 )
| ( in @ SV9 @ SY87 ) ) ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(613,plain,
( ( ( in @ sK68_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(614,plain,
( ( ( ~ ( ( sK68_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(615,plain,
( ( ( ~ ! [SY40: $i] :
~ ~ ( ~ ( in @ SY40 @ sK68_SX0 )
| ~ ! [SY41: $i] :
( ~ ( in @ SY41 @ sK68_SX0 )
| ( SY40 = SY41 )
| ( in @ SY40 @ SY41 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(616,plain,
( ( ( in @ sK69_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(617,plain,
( ( ( ~ ( ( sK69_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(618,plain,
( ( ( ~ ! [SY42: $i] :
~ ~ ( ~ ( in @ SY42 @ sK69_SX0 )
| ~ ! [SY43: $i] :
( ~ ( in @ SY43 @ sK69_SX0 )
| ( SY42 = SY43 )
| ( in @ SY42 @ SY43 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(619,plain,
( ( ( ~ ( in @ sK88_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(620,plain,
( ( ( ~ ( ( sK88_SX0 != emptyset ) )
| ~ ! [SY60: $i] :
~ ~ ( ~ ( in @ SY60 @ sK88_SX0 )
| ~ ! [SY61: $i] :
( ~ ( in @ SY61 @ sK88_SX0 )
| ( SY60 = SY61 )
| ( in @ SY60 @ SY61 ) ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(621,plain,
( ( ( ~ ( in @ sK89_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(622,plain,
( ( ( ~ ( ( sK89_SX0 != emptyset ) )
| ~ ! [SY62: $i] :
~ ~ ( ~ ( in @ SY62 @ sK89_SX0 )
| ~ ! [SY63: $i] :
( ~ ( in @ SY63 @ sK89_SX0 )
| ( SY62 = SY63 )
| ( in @ SY62 @ SY63 ) ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(623,plain,
( ( ( ~ ( in @ sK90_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(624,plain,
( ( ( ~ ( ( sK90_SX0 != emptyset ) )
| ~ ! [SY64: $i] :
~ ~ ( ~ ( in @ SY64 @ sK90_SX0 )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK90_SX0 )
| ( SY64 = SY65 )
| ( in @ SY64 @ SY65 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(625,plain,
( ( ( ~ ( in @ sK91_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(626,plain,
( ( ( ~ ( ( sK91_SX0 != emptyset ) )
| ~ ! [SY66: $i] :
~ ~ ( ~ ( in @ SY66 @ sK91_SX0 )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK91_SX0 )
| ( SY66 = SY67 )
| ( in @ SY66 @ SY67 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(627,plain,
( ( ( in @ sK70_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(628,plain,
( ( ( ~ ( ( sK70_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(629,plain,
( ( ( ~ ! [SY44: $i] :
~ ~ ( ~ ( in @ SY44 @ sK70_SX0 )
| ~ ! [SY45: $i] :
( ~ ( in @ SY45 @ sK70_SX0 )
| ( SY44 = SY45 )
| ( in @ SY44 @ SY45 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(630,plain,
( ( ( in @ sK71_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(631,plain,
( ( ( ~ ( ( sK71_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(632,plain,
( ( ( ~ ! [SY46: $i] :
~ ~ ( ~ ( in @ SY46 @ sK71_SX0 )
| ~ ! [SY47: $i] :
( ~ ( in @ SY47 @ sK71_SX0 )
| ( SY46 = SY47 )
| ( in @ SY46 @ SY47 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(633,plain,
( ( ( in @ sK72_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(634,plain,
( ( ( ~ ( ( sK72_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(635,plain,
( ( ( ~ ! [SY48: $i] :
~ ~ ( ~ ( in @ SY48 @ sK72_SX0 )
| ~ ! [SY49: $i] :
( ~ ( in @ SY49 @ sK72_SX0 )
| ( SY48 = SY49 )
| ( in @ SY48 @ SY49 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(636,plain,
( ( ( in @ sK73_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(637,plain,
( ( ( ~ ( ( sK73_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(638,plain,
( ( ( ~ ! [SY50: $i] :
~ ~ ( ~ ( in @ SY50 @ sK73_SX0 )
| ~ ! [SY51: $i] :
( ~ ( in @ SY51 @ sK73_SX0 )
| ( SY50 = SY51 )
| ( in @ SY50 @ SY51 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(639,plain,
( ( ( ~ ( in @ sK106_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK106_SX0 != emptyset ) )
| ~ ! [SY88: $i] :
~ ~ ( ~ ( in @ SY88 @ sK106_SX0 )
| ~ ! [SY89: $i] :
( ~ ( in @ SY89 @ sK106_SX0 )
| ( SY88 = SY89 )
| ( in @ SY88 @ SY89 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[513]) ).
thf(640,plain,
( ( ( ~ ( in @ sK107_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK107_SX0 != emptyset ) )
| ~ ! [SY90: $i] :
~ ~ ( ~ ( in @ SY90 @ sK107_SX0 )
| ~ ! [SY91: $i] :
( ~ ( in @ SY91 @ sK107_SX0 )
| ( SY90 = SY91 )
| ( in @ SY90 @ SY91 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[514]) ).
thf(641,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(642,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(643,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(644,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(645,plain,
( ( ( ~ ( in @ sK108_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK108_SX0 != emptyset ) )
| ~ ! [SY92: $i] :
~ ~ ( ~ ( in @ SY92 @ sK108_SX0 )
| ~ ! [SY93: $i] :
( ~ ( in @ SY93 @ sK108_SX0 )
| ( SY92 = SY93 )
| ( in @ SY92 @ SY93 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[519]) ).
thf(646,plain,
( ( ( ~ ( in @ sK109_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK109_SX0 != emptyset ) )
| ~ ! [SY94: $i] :
~ ~ ( ~ ( in @ SY94 @ sK109_SX0 )
| ~ ! [SY95: $i] :
( ~ ( in @ SY95 @ sK109_SX0 )
| ( SY94 = SY95 )
| ( in @ SY94 @ SY95 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[520]) ).
thf(647,plain,
( ( ( ~ ( in @ sK110_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK110_SX0 != emptyset ) )
| ~ ! [SY96: $i] :
~ ~ ( ~ ( in @ SY96 @ sK110_SX0 )
| ~ ! [SY97: $i] :
( ~ ( in @ SY97 @ sK110_SX0 )
| ( SY96 = SY97 )
| ( in @ SY96 @ SY97 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[521]) ).
thf(648,plain,
( ( ( ~ ( in @ sK111_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK111_SX0 != emptyset ) )
| ~ ! [SY98: $i] :
~ ~ ( ~ ( in @ SY98 @ sK111_SX0 )
| ~ ! [SY99: $i] :
( ~ ( in @ SY99 @ sK111_SX0 )
| ( SY98 = SY99 )
| ( in @ SY98 @ SY99 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[522]) ).
thf(649,plain,
( ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(650,plain,
( ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(651,plain,
( ( ( ~ ( in @ sK92_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(652,plain,
( ( ( ~ ( in @ sK92_SX0 @ sK92_SX0 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(653,plain,
( ( ( ~ ( in @ sK93_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(654,plain,
( ( ( ~ ( in @ sK93_SX0 @ sK93_SX0 ) )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(655,plain,
( ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(656,plain,
( ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(657,plain,
( ( ( ~ ( in @ sK112_SX0 @ emptyset )
| ~ ( in @ sK112_SX0 @ sK112_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[529]) ).
thf(658,plain,
( ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(659,plain,
( ( ( ( sK49_SX0 = sK76_SY26 )
| ( in @ sK49_SX0 @ sK76_SY26 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(660,plain,
( ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(661,plain,
( ( ( ~ ( in @ sK113_SX0 @ emptyset )
| ~ ( in @ sK113_SX0 @ sK113_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[532]) ).
thf(662,plain,
( ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(663,plain,
( ( ( ( sK50_SX0 = sK77_SY27 )
| ( in @ sK50_SX0 @ sK77_SY27 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(664,plain,
( ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(665,plain,
( ( ( ~ ( in @ sK114_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK114_SX0 != emptyset ) )
| ~ ! [SY100: $i] :
~ ~ ( ~ ( in @ SY100 @ sK114_SX0 )
| ~ ! [SY101: $i] :
( ~ ( in @ SY101 @ sK114_SX0 )
| ( SY100 = SY101 )
| ( in @ SY100 @ SY101 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[535]) ).
thf(666,plain,
( ( ( ~ ( in @ sK115_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK115_SX0 != emptyset ) )
| ~ ! [SY102: $i] :
~ ~ ( ~ ( in @ SY102 @ sK115_SX0 )
| ~ ! [SY103: $i] :
( ~ ( in @ SY103 @ sK115_SX0 )
| ( SY102 = SY103 )
| ( in @ SY102 @ SY103 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[536]) ).
thf(667,plain,
( ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(668,plain,
( ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(669,plain,
( ( ( ~ ( in @ sK94_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(670,plain,
( ( ( ~ ( in @ sK94_SX0 @ sK94_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(671,plain,
( ( ( ~ ( in @ sK95_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(672,plain,
( ( ( ~ ( in @ sK95_SX0 @ sK95_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(673,plain,
( ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(674,plain,
( ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(675,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( in @ SV6 @ sK36_SX0 )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ sK36_SX0 )
| ( SV6 = SY68 )
| ( in @ SV6 @ SY68 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(676,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ( in @ SV7 @ sK37_SX0 )
| ~ ! [SY69: $i] :
( ~ ( in @ SY69 @ sK37_SX0 )
| ( SV7 = SY69 )
| ( in @ SV7 @ SY69 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(677,plain,
( ( ( ( sK56_SX0 != emptyset ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(678,plain,
( ( ( ! [SY28: $i] :
~ ~ ( ~ ( in @ SY28 @ sK56_SX0 )
| ~ ! [SY29: $i] :
( ~ ( in @ SY29 @ sK56_SX0 )
| ( SY28 = SY29 )
| ( in @ SY28 @ SY29 ) ) ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(679,plain,
( ( ( ( sK57_SX0 != emptyset ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(680,plain,
( ( ( ! [SY30: $i] :
~ ~ ( ~ ( in @ SY30 @ sK57_SX0 )
| ~ ! [SY31: $i] :
( ~ ( in @ SY31 @ sK57_SX0 )
| ( SY30 = SY31 )
| ( in @ SY30 @ SY31 ) ) ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(681,plain,
( ( ( in @ sK80_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(682,plain,
( ( ( ~ ( ( sK80_SX0 != emptyset ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(683,plain,
( ( ( ~ ! [SY52: $i] :
~ ~ ( ~ ( in @ SY52 @ sK80_SX0 )
| ~ ! [SY53: $i] :
( ~ ( in @ SY53 @ sK80_SX0 )
| ( SY52 = SY53 )
| ( in @ SY52 @ SY53 ) ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(684,plain,
( ( ( in @ sK81_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(685,plain,
( ( ( ~ ( ( sK81_SX0 != emptyset ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(686,plain,
( ( ( ~ ! [SY54: $i] :
~ ~ ( ~ ( in @ SY54 @ sK81_SX0 )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ sK81_SX0 )
| ( SY54 = SY55 )
| ( in @ SY54 @ SY55 ) ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(687,plain,
( ( ( in @ sK82_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(688,plain,
( ( ( ~ ( ( sK82_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(689,plain,
( ( ( ~ ! [SY56: $i] :
~ ~ ( ~ ( in @ SY56 @ sK82_SX0 )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ sK82_SX0 )
| ( SY56 = SY57 )
| ( in @ SY56 @ SY57 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(690,plain,
( ( ( in @ sK83_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(691,plain,
( ( ( ~ ( ( sK83_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(692,plain,
( ( ( ~ ! [SY58: $i] :
~ ~ ( ~ ( in @ SY58 @ sK83_SX0 )
| ~ ! [SY59: $i] :
( ~ ( in @ SY59 @ sK83_SX0 )
| ( SY58 = SY59 )
| ( in @ SY58 @ SY59 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(693,plain,
( ( ( ( sK58_SX0 != emptyset ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(694,plain,
( ( ( ! [SY32: $i] :
~ ~ ( ~ ( in @ SY32 @ sK58_SX0 )
| ~ ! [SY33: $i] :
( ~ ( in @ SY33 @ sK58_SX0 )
| ( SY32 = SY33 )
| ( in @ SY32 @ SY33 ) ) ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(695,plain,
( ( ( ( sK59_SX0 != emptyset ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(696,plain,
( ( ( ! [SY34: $i] :
~ ~ ( ~ ( in @ SY34 @ sK59_SX0 )
| ~ ! [SY35: $i] :
( ~ ( in @ SY35 @ sK59_SX0 )
| ( SY34 = SY35 )
| ( in @ SY34 @ SY35 ) ) ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(697,plain,
( ( ( ( sK60_SX0 != emptyset ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(698,plain,
( ( ( ! [SY36: $i] :
~ ~ ( ~ ( in @ SY36 @ sK60_SX0 )
| ~ ! [SY37: $i] :
( ~ ( in @ SY37 @ sK60_SX0 )
| ( SY36 = SY37 )
| ( in @ SY36 @ SY37 ) ) ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(699,plain,
( ( ( ( sK61_SX0 != emptyset ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(700,plain,
( ( ( ! [SY38: $i] :
~ ~ ( ~ ( in @ SY38 @ sK61_SX0 )
| ~ ! [SY39: $i] :
( ~ ( in @ SY39 @ sK61_SX0 )
| ( SY38 = SY39 )
| ( in @ SY38 @ SY39 ) ) ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(701,plain,
( ( ( ~ ( in @ sK96_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(702,plain,
( ( ( ~ ( ( sK96_SX0 != emptyset ) )
| ~ ! [SY70: $i] :
~ ~ ( ~ ( in @ SY70 @ sK96_SX0 )
| ~ ! [SY71: $i] :
( ~ ( in @ SY71 @ sK96_SX0 )
| ( SY70 = SY71 )
| ( in @ SY70 @ SY71 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(703,plain,
( ( ( ~ ( in @ sK97_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(704,plain,
( ( ( ~ ( ( sK97_SX0 != emptyset ) )
| ~ ! [SY72: $i] :
~ ~ ( ~ ( in @ SY72 @ sK97_SX0 )
| ~ ! [SY73: $i] :
( ~ ( in @ SY73 @ sK97_SX0 )
| ( SY72 = SY73 )
| ( in @ SY72 @ SY73 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(705,plain,
( ( ( ~ ( in @ sK116_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK116_SX0 != emptyset ) )
| ~ ! [SY104: $i] :
~ ~ ( ~ ( in @ SY104 @ sK116_SX0 )
| ~ ! [SY105: $i] :
( ~ ( in @ SY105 @ sK116_SX0 )
| ( SY104 = SY105 )
| ( in @ SY104 @ SY105 ) ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[575]) ).
thf(706,plain,
( ( ( ~ ( in @ sK117_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK117_SX0 != emptyset ) )
| ~ ! [SY106: $i] :
~ ~ ( ~ ( in @ SY106 @ sK117_SX0 )
| ~ ! [SY107: $i] :
( ~ ( in @ SY107 @ sK117_SX0 )
| ( SY106 = SY107 )
| ( in @ SY106 @ SY107 ) ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[576]) ).
thf(707,plain,
( ( ( ~ ( in @ sK118_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK118_SX0 != emptyset ) )
| ~ ! [SY108: $i] :
~ ~ ( ~ ( in @ SY108 @ sK118_SX0 )
| ~ ! [SY109: $i] :
( ~ ( in @ SY109 @ sK118_SX0 )
| ( SY108 = SY109 )
| ( in @ SY108 @ SY109 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[577]) ).
thf(708,plain,
( ( ( ~ ( in @ sK119_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK119_SX0 != emptyset ) )
| ~ ! [SY110: $i] :
~ ~ ( ~ ( in @ SY110 @ sK119_SX0 )
| ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ sK119_SX0 )
| ( SY110 = SY111 )
| ( in @ SY110 @ SY111 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[578]) ).
thf(709,plain,
( ( ( ~ ( in @ sK98_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(710,plain,
( ( ( ~ ( ( sK98_SX0 != emptyset ) )
| ~ ! [SY74: $i] :
~ ~ ( ~ ( in @ SY74 @ sK98_SX0 )
| ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ sK98_SX0 )
| ( SY74 = SY75 )
| ( in @ SY74 @ SY75 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(711,plain,
( ( ( ~ ( in @ sK99_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(712,plain,
( ( ( ~ ( ( sK99_SX0 != emptyset ) )
| ~ ! [SY76: $i] :
~ ~ ( ~ ( in @ SY76 @ sK99_SX0 )
| ~ ! [SY77: $i] :
( ~ ( in @ SY77 @ sK99_SX0 )
| ( SY76 = SY77 )
| ( in @ SY76 @ SY77 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(713,plain,
( ( ( ~ ( in @ sK100_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(714,plain,
( ( ( ~ ( ( sK100_SX0 != emptyset ) )
| ~ ! [SY78: $i] :
~ ~ ( ~ ( in @ SY78 @ sK100_SX0 )
| ~ ! [SY79: $i] :
( ~ ( in @ SY79 @ sK100_SX0 )
| ( SY78 = SY79 )
| ( in @ SY78 @ SY79 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(715,plain,
( ( ( ~ ( in @ sK101_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(716,plain,
( ( ( ~ ( ( sK101_SX0 != emptyset ) )
| ~ ! [SY80: $i] :
~ ~ ( ~ ( in @ SY80 @ sK101_SX0 )
| ~ ! [SY81: $i] :
( ~ ( in @ SY81 @ sK101_SX0 )
| ( SY80 = SY81 )
| ( in @ SY80 @ SY81 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(717,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(718,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(719,plain,
( ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(720,plain,
( ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(721,plain,
( ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(722,plain,
( ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(723,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(724,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(725,plain,
( ( ( ~ ( in @ sK102_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(726,plain,
( ( ( ~ ( in @ sK102_SX0 @ sK102_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(727,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(728,plain,
( ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(729,plain,
( ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(730,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(731,plain,
( ( ( ~ ( in @ sK103_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[595]) ).
thf(732,plain,
( ( ( ~ ( in @ sK103_SX0 @ sK103_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[595]) ).
thf(733,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(734,plain,
( ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(735,plain,
( ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(736,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(737,plain,
( ( ( ~ ( in @ sK104_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[599]) ).
thf(738,plain,
( ( ( ~ ( ( sK104_SX0 != emptyset ) )
| ~ ! [SY82: $i] :
~ ~ ( ~ ( in @ SY82 @ sK104_SX0 )
| ~ ! [SY83: $i] :
( ~ ( in @ SY83 @ sK104_SX0 )
| ( SY82 = SY83 )
| ( in @ SY82 @ SY83 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[599]) ).
thf(739,plain,
( ( ( ~ ( in @ sK105_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[600]) ).
thf(740,plain,
( ( ( ~ ( ( sK105_SX0 != emptyset ) )
| ~ ! [SY84: $i] :
~ ~ ( ~ ( in @ SY84 @ sK105_SX0 )
| ~ ! [SY85: $i] :
( ~ ( in @ SY85 @ sK105_SX0 )
| ( SY84 = SY85 )
| ( in @ SY84 @ SY85 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[600]) ).
thf(741,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(742,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(743,plain,
( ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(744,plain,
( ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(745,plain,
( ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(746,plain,
( ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(747,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(748,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(749,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( in @ SV8 @ sK44_SX0 )
| ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ sK44_SX0 )
| ( SV8 = SY86 )
| ( in @ SV8 @ SY86 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(750,plain,
! [SV9: $i] :
( ( ( ~ ( ~ ( in @ SV9 @ sK45_SX0 )
| ~ ! [SY87: $i] :
( ~ ( in @ SY87 @ sK45_SX0 )
| ( SV9 = SY87 )
| ( in @ SV9 @ SY87 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(751,plain,
( ( ( ( sK68_SX0 != emptyset ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(752,plain,
( ( ( ! [SY40: $i] :
~ ~ ( ~ ( in @ SY40 @ sK68_SX0 )
| ~ ! [SY41: $i] :
( ~ ( in @ SY41 @ sK68_SX0 )
| ( SY40 = SY41 )
| ( in @ SY40 @ SY41 ) ) ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(753,plain,
( ( ( ( sK69_SX0 != emptyset ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(754,plain,
( ( ( ! [SY42: $i] :
~ ~ ( ~ ( in @ SY42 @ sK69_SX0 )
| ~ ! [SY43: $i] :
( ~ ( in @ SY43 @ sK69_SX0 )
| ( SY42 = SY43 )
| ( in @ SY42 @ SY43 ) ) ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(755,plain,
( ( ( in @ sK88_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(756,plain,
( ( ( ~ ( ( sK88_SX0 != emptyset ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(757,plain,
( ( ( ~ ! [SY60: $i] :
~ ~ ( ~ ( in @ SY60 @ sK88_SX0 )
| ~ ! [SY61: $i] :
( ~ ( in @ SY61 @ sK88_SX0 )
| ( SY60 = SY61 )
| ( in @ SY60 @ SY61 ) ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(758,plain,
( ( ( in @ sK89_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(759,plain,
( ( ( ~ ( ( sK89_SX0 != emptyset ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(760,plain,
( ( ( ~ ! [SY62: $i] :
~ ~ ( ~ ( in @ SY62 @ sK89_SX0 )
| ~ ! [SY63: $i] :
( ~ ( in @ SY63 @ sK89_SX0 )
| ( SY62 = SY63 )
| ( in @ SY62 @ SY63 ) ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(761,plain,
( ( ( in @ sK90_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[623]) ).
thf(762,plain,
( ( ( ~ ( ( sK90_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(763,plain,
( ( ( ~ ! [SY64: $i] :
~ ~ ( ~ ( in @ SY64 @ sK90_SX0 )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK90_SX0 )
| ( SY64 = SY65 )
| ( in @ SY64 @ SY65 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(764,plain,
( ( ( in @ sK91_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(765,plain,
( ( ( ~ ( ( sK91_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(766,plain,
( ( ( ~ ! [SY66: $i] :
~ ~ ( ~ ( in @ SY66 @ sK91_SX0 )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK91_SX0 )
| ( SY66 = SY67 )
| ( in @ SY66 @ SY67 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(767,plain,
( ( ( ( sK70_SX0 != emptyset ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(768,plain,
( ( ( ! [SY44: $i] :
~ ~ ( ~ ( in @ SY44 @ sK70_SX0 )
| ~ ! [SY45: $i] :
( ~ ( in @ SY45 @ sK70_SX0 )
| ( SY44 = SY45 )
| ( in @ SY44 @ SY45 ) ) ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(769,plain,
( ( ( ( sK71_SX0 != emptyset ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(770,plain,
( ( ( ! [SY46: $i] :
~ ~ ( ~ ( in @ SY46 @ sK71_SX0 )
| ~ ! [SY47: $i] :
( ~ ( in @ SY47 @ sK71_SX0 )
| ( SY46 = SY47 )
| ( in @ SY46 @ SY47 ) ) ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(771,plain,
( ( ( ( sK72_SX0 != emptyset ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(772,plain,
( ( ( ! [SY48: $i] :
~ ~ ( ~ ( in @ SY48 @ sK72_SX0 )
| ~ ! [SY49: $i] :
( ~ ( in @ SY49 @ sK72_SX0 )
| ( SY48 = SY49 )
| ( in @ SY48 @ SY49 ) ) ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(773,plain,
( ( ( ( sK73_SX0 != emptyset ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(774,plain,
( ( ( ! [SY50: $i] :
~ ~ ( ~ ( in @ SY50 @ sK73_SX0 )
| ~ ! [SY51: $i] :
( ~ ( in @ SY51 @ sK73_SX0 )
| ( SY50 = SY51 )
| ( in @ SY50 @ SY51 ) ) ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(775,plain,
( ( ( ~ ( in @ sK106_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[639]) ).
thf(776,plain,
( ( ( ~ ( ( sK106_SX0 != emptyset ) )
| ~ ! [SY88: $i] :
~ ~ ( ~ ( in @ SY88 @ sK106_SX0 )
| ~ ! [SY89: $i] :
( ~ ( in @ SY89 @ sK106_SX0 )
| ( SY88 = SY89 )
| ( in @ SY88 @ SY89 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[639]) ).
thf(777,plain,
( ( ( ~ ( in @ sK107_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(778,plain,
( ( ( ~ ( ( sK107_SX0 != emptyset ) )
| ~ ! [SY90: $i] :
~ ~ ( ~ ( in @ SY90 @ sK107_SX0 )
| ~ ! [SY91: $i] :
( ~ ( in @ SY91 @ sK107_SX0 )
| ( SY90 = SY91 )
| ( in @ SY90 @ SY91 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(779,plain,
( ( ( ~ ( in @ sK120_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK120_SX0 != emptyset ) )
| ~ ! [SY112: $i] :
~ ~ ( ~ ( in @ SY112 @ sK120_SX0 )
| ~ ! [SY113: $i] :
( ~ ( in @ SY113 @ sK120_SX0 )
| ( SY112 = SY113 )
| ( in @ SY112 @ SY113 ) ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[641]) ).
thf(780,plain,
( ( ( ~ ( in @ sK121_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK121_SX0 != emptyset ) )
| ~ ! [SY114: $i] :
~ ~ ( ~ ( in @ SY114 @ sK121_SX0 )
| ~ ! [SY115: $i] :
( ~ ( in @ SY115 @ sK121_SX0 )
| ( SY114 = SY115 )
| ( in @ SY114 @ SY115 ) ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[642]) ).
thf(781,plain,
( ( ( ~ ( in @ sK122_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK122_SX0 != emptyset ) )
| ~ ! [SY116: $i] :
~ ~ ( ~ ( in @ SY116 @ sK122_SX0 )
| ~ ! [SY117: $i] :
( ~ ( in @ SY117 @ sK122_SX0 )
| ( SY116 = SY117 )
| ( in @ SY116 @ SY117 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[643]) ).
thf(782,plain,
( ( ( ~ ( in @ sK123_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK123_SX0 != emptyset ) )
| ~ ! [SY118: $i] :
~ ~ ( ~ ( in @ SY118 @ sK123_SX0 )
| ~ ! [SY119: $i] :
( ~ ( in @ SY119 @ sK123_SX0 )
| ( SY118 = SY119 )
| ( in @ SY118 @ SY119 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[644]) ).
thf(783,plain,
( ( ( ~ ( in @ sK108_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(784,plain,
( ( ( ~ ( ( sK108_SX0 != emptyset ) )
| ~ ! [SY92: $i] :
~ ~ ( ~ ( in @ SY92 @ sK108_SX0 )
| ~ ! [SY93: $i] :
( ~ ( in @ SY93 @ sK108_SX0 )
| ( SY92 = SY93 )
| ( in @ SY92 @ SY93 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(785,plain,
( ( ( ~ ( in @ sK109_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(786,plain,
( ( ( ~ ( ( sK109_SX0 != emptyset ) )
| ~ ! [SY94: $i] :
~ ~ ( ~ ( in @ SY94 @ sK109_SX0 )
| ~ ! [SY95: $i] :
( ~ ( in @ SY95 @ sK109_SX0 )
| ( SY94 = SY95 )
| ( in @ SY94 @ SY95 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(787,plain,
( ( ( ~ ( in @ sK110_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[647]) ).
thf(788,plain,
( ( ( ~ ( ( sK110_SX0 != emptyset ) )
| ~ ! [SY96: $i] :
~ ~ ( ~ ( in @ SY96 @ sK110_SX0 )
| ~ ! [SY97: $i] :
( ~ ( in @ SY97 @ sK110_SX0 )
| ( SY96 = SY97 )
| ( in @ SY96 @ SY97 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[647]) ).
thf(789,plain,
( ( ( ~ ( in @ sK111_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[648]) ).
thf(790,plain,
( ( ( ~ ( ( sK111_SX0 != emptyset ) )
| ~ ! [SY98: $i] :
~ ~ ( ~ ( in @ SY98 @ sK111_SX0 )
| ~ ! [SY99: $i] :
( ~ ( in @ SY99 @ sK111_SX0 )
| ( SY98 = SY99 )
| ( in @ SY98 @ SY99 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[648]) ).
thf(791,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(792,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(793,plain,
( ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(794,plain,
( ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(795,plain,
( ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(796,plain,
( ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[654]) ).
thf(797,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(798,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(799,plain,
( ( ( ~ ( in @ sK112_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(800,plain,
( ( ( ~ ( in @ sK112_SX0 @ sK112_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(801,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(802,plain,
( ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(803,plain,
( ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[659]) ).
thf(804,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(805,plain,
( ( ( ~ ( in @ sK113_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(806,plain,
( ( ( ~ ( in @ sK113_SX0 @ sK113_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(807,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(808,plain,
( ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(809,plain,
( ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(810,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(811,plain,
( ( ( ~ ( in @ sK114_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(812,plain,
( ( ( ~ ( ( sK114_SX0 != emptyset ) )
| ~ ! [SY100: $i] :
~ ~ ( ~ ( in @ SY100 @ sK114_SX0 )
| ~ ! [SY101: $i] :
( ~ ( in @ SY101 @ sK114_SX0 )
| ( SY100 = SY101 )
| ( in @ SY100 @ SY101 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(813,plain,
( ( ( ~ ( in @ sK115_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(814,plain,
( ( ( ~ ( ( sK115_SX0 != emptyset ) )
| ~ ! [SY102: $i] :
~ ~ ( ~ ( in @ SY102 @ sK115_SX0 )
| ~ ! [SY103: $i] :
( ~ ( in @ SY103 @ sK115_SX0 )
| ( SY102 = SY103 )
| ( in @ SY102 @ SY103 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(815,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(816,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(817,plain,
( ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(818,plain,
( ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(819,plain,
( ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[671]) ).
thf(820,plain,
( ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(821,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(822,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(823,plain,
! [SV6: $i] :
( ( ( ~ ( in @ SV6 @ sK36_SX0 )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ sK36_SX0 )
| ( SV6 = SY68 )
| ( in @ SV6 @ SY68 ) ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(824,plain,
! [SV7: $i] :
( ( ( ~ ( in @ SV7 @ sK37_SX0 )
| ~ ! [SY69: $i] :
( ~ ( in @ SY69 @ sK37_SX0 )
| ( SV7 = SY69 )
| ( in @ SV7 @ SY69 ) ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(825,plain,
( ( ( sK56_SX0 = emptyset )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(826,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ( in @ SV10 @ sK56_SX0 )
| ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ sK56_SX0 )
| ( SV10 = SY120 )
| ( in @ SV10 @ SY120 ) ) ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(827,plain,
( ( ( sK57_SX0 = emptyset )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(828,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ( in @ SV11 @ sK57_SX0 )
| ~ ! [SY121: $i] :
( ~ ( in @ SY121 @ sK57_SX0 )
| ( SV11 = SY121 )
| ( in @ SV11 @ SY121 ) ) ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(829,plain,
( ( ( ( sK80_SX0 != emptyset ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[682]) ).
thf(830,plain,
( ( ( ! [SY52: $i] :
~ ~ ( ~ ( in @ SY52 @ sK80_SX0 )
| ~ ! [SY53: $i] :
( ~ ( in @ SY53 @ sK80_SX0 )
| ( SY52 = SY53 )
| ( in @ SY52 @ SY53 ) ) ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[683]) ).
thf(831,plain,
( ( ( ( sK81_SX0 != emptyset ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(832,plain,
( ( ( ! [SY54: $i] :
~ ~ ( ~ ( in @ SY54 @ sK81_SX0 )
| ~ ! [SY55: $i] :
( ~ ( in @ SY55 @ sK81_SX0 )
| ( SY54 = SY55 )
| ( in @ SY54 @ SY55 ) ) ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(833,plain,
( ( ( ( sK82_SX0 != emptyset ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(834,plain,
( ( ( ! [SY56: $i] :
~ ~ ( ~ ( in @ SY56 @ sK82_SX0 )
| ~ ! [SY57: $i] :
( ~ ( in @ SY57 @ sK82_SX0 )
| ( SY56 = SY57 )
| ( in @ SY56 @ SY57 ) ) ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(835,plain,
( ( ( ( sK83_SX0 != emptyset ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[691]) ).
thf(836,plain,
( ( ( ! [SY58: $i] :
~ ~ ( ~ ( in @ SY58 @ sK83_SX0 )
| ~ ! [SY59: $i] :
( ~ ( in @ SY59 @ sK83_SX0 )
| ( SY58 = SY59 )
| ( in @ SY58 @ SY59 ) ) ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(837,plain,
( ( ( sK58_SX0 = emptyset )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(838,plain,
! [SV12: $i] :
( ( ( ~ ~ ( ~ ( in @ SV12 @ sK58_SX0 )
| ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ sK58_SX0 )
| ( SV12 = SY122 )
| ( in @ SV12 @ SY122 ) ) ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(839,plain,
( ( ( sK59_SX0 = emptyset )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(840,plain,
! [SV13: $i] :
( ( ( ~ ~ ( ~ ( in @ SV13 @ sK59_SX0 )
| ~ ! [SY123: $i] :
( ~ ( in @ SY123 @ sK59_SX0 )
| ( SV13 = SY123 )
| ( in @ SV13 @ SY123 ) ) ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(841,plain,
( ( ( sK60_SX0 = emptyset )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(842,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ( in @ SV14 @ sK60_SX0 )
| ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ sK60_SX0 )
| ( SV14 = SY124 )
| ( in @ SV14 @ SY124 ) ) ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(843,plain,
( ( ( sK61_SX0 = emptyset )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(844,plain,
! [SV15: $i] :
( ( ( ~ ~ ( ~ ( in @ SV15 @ sK61_SX0 )
| ~ ! [SY125: $i] :
( ~ ( in @ SY125 @ sK61_SX0 )
| ( SV15 = SY125 )
| ( in @ SV15 @ SY125 ) ) ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(845,plain,
( ( ( in @ sK96_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(846,plain,
( ( ( ~ ( ( sK96_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(847,plain,
( ( ( ~ ! [SY70: $i] :
~ ~ ( ~ ( in @ SY70 @ sK96_SX0 )
| ~ ! [SY71: $i] :
( ~ ( in @ SY71 @ sK96_SX0 )
| ( SY70 = SY71 )
| ( in @ SY70 @ SY71 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(848,plain,
( ( ( in @ sK97_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(849,plain,
( ( ( ~ ( ( sK97_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(850,plain,
( ( ( ~ ! [SY72: $i] :
~ ~ ( ~ ( in @ SY72 @ sK97_SX0 )
| ~ ! [SY73: $i] :
( ~ ( in @ SY73 @ sK97_SX0 )
| ( SY72 = SY73 )
| ( in @ SY72 @ SY73 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(851,plain,
( ( ( ~ ( in @ sK116_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(852,plain,
( ( ( ~ ( ( sK116_SX0 != emptyset ) )
| ~ ! [SY104: $i] :
~ ~ ( ~ ( in @ SY104 @ sK116_SX0 )
| ~ ! [SY105: $i] :
( ~ ( in @ SY105 @ sK116_SX0 )
| ( SY104 = SY105 )
| ( in @ SY104 @ SY105 ) ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(853,plain,
( ( ( ~ ( in @ sK117_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(854,plain,
( ( ( ~ ( ( sK117_SX0 != emptyset ) )
| ~ ! [SY106: $i] :
~ ~ ( ~ ( in @ SY106 @ sK117_SX0 )
| ~ ! [SY107: $i] :
( ~ ( in @ SY107 @ sK117_SX0 )
| ( SY106 = SY107 )
| ( in @ SY106 @ SY107 ) ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(855,plain,
( ( ( ~ ( in @ sK118_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(856,plain,
( ( ( ~ ( ( sK118_SX0 != emptyset ) )
| ~ ! [SY108: $i] :
~ ~ ( ~ ( in @ SY108 @ sK118_SX0 )
| ~ ! [SY109: $i] :
( ~ ( in @ SY109 @ sK118_SX0 )
| ( SY108 = SY109 )
| ( in @ SY108 @ SY109 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(857,plain,
( ( ( ~ ( in @ sK119_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(858,plain,
( ( ( ~ ( ( sK119_SX0 != emptyset ) )
| ~ ! [SY110: $i] :
~ ~ ( ~ ( in @ SY110 @ sK119_SX0 )
| ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ sK119_SX0 )
| ( SY110 = SY111 )
| ( in @ SY110 @ SY111 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(859,plain,
( ( ( in @ sK98_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[709]) ).
thf(860,plain,
( ( ( ~ ( ( sK98_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(861,plain,
( ( ( ~ ! [SY74: $i] :
~ ~ ( ~ ( in @ SY74 @ sK98_SX0 )
| ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ sK98_SX0 )
| ( SY74 = SY75 )
| ( in @ SY74 @ SY75 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(862,plain,
( ( ( in @ sK99_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[711]) ).
thf(863,plain,
( ( ( ~ ( ( sK99_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(864,plain,
( ( ( ~ ! [SY76: $i] :
~ ~ ( ~ ( in @ SY76 @ sK99_SX0 )
| ~ ! [SY77: $i] :
( ~ ( in @ SY77 @ sK99_SX0 )
| ( SY76 = SY77 )
| ( in @ SY76 @ SY77 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(865,plain,
( ( ( in @ sK100_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[713]) ).
thf(866,plain,
( ( ( ~ ( ( sK100_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(867,plain,
( ( ( ~ ! [SY78: $i] :
~ ~ ( ~ ( in @ SY78 @ sK100_SX0 )
| ~ ! [SY79: $i] :
( ~ ( in @ SY79 @ sK100_SX0 )
| ( SY78 = SY79 )
| ( in @ SY78 @ SY79 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(868,plain,
( ( ( in @ sK101_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(869,plain,
( ( ( ~ ( ( sK101_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(870,plain,
( ( ( ~ ! [SY80: $i] :
~ ~ ( ~ ( in @ SY80 @ sK101_SX0 )
| ~ ! [SY81: $i] :
( ~ ( in @ SY81 @ sK101_SX0 )
| ( SY80 = SY81 )
| ( in @ SY80 @ SY81 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(871,plain,
( ( ( ~ ( in @ sK124_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK124_SX0 != emptyset ) )
| ~ ! [SY126: $i] :
~ ~ ( ~ ( in @ SY126 @ sK124_SX0 )
| ~ ! [SY127: $i] :
( ~ ( in @ SY127 @ sK124_SX0 )
| ( SY126 = SY127 )
| ( in @ SY126 @ SY127 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[717]) ).
thf(872,plain,
( ( ( ~ ( in @ sK125_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK125_SX0 != emptyset ) )
| ~ ! [SY128: $i] :
~ ~ ( ~ ( in @ SY128 @ sK125_SX0 )
| ~ ! [SY129: $i] :
( ~ ( in @ SY129 @ sK125_SX0 )
| ( SY128 = SY129 )
| ( in @ SY128 @ SY129 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[718]) ).
thf(873,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(874,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(875,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(876,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(877,plain,
( ( ( ~ ( in @ sK126_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK126_SX0 != emptyset ) )
| ~ ! [SY130: $i] :
~ ~ ( ~ ( in @ SY130 @ sK126_SX0 )
| ~ ! [SY131: $i] :
( ~ ( in @ SY131 @ sK126_SX0 )
| ( SY130 = SY131 )
| ( in @ SY130 @ SY131 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[723]) ).
thf(878,plain,
( ( ( ~ ( in @ sK127_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK127_SX0 != emptyset ) )
| ~ ! [SY132: $i] :
~ ~ ( ~ ( in @ SY132 @ sK127_SX0 )
| ~ ! [SY133: $i] :
( ~ ( in @ SY133 @ sK127_SX0 )
| ( SY132 = SY133 )
| ( in @ SY132 @ SY133 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[724]) ).
thf(879,plain,
( ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[725]) ).
thf(880,plain,
( ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(881,plain,
( ( ( ~ ( in @ sK128_SX0 @ emptyset )
| ~ ( in @ sK128_SX0 @ sK128_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[727]) ).
thf(882,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(883,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(884,plain,
( ( ( ~ ( in @ sK129_SX0 @ emptyset )
| ~ ( in @ sK129_SX0 @ sK129_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[730]) ).
thf(885,plain,
( ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[731]) ).
thf(886,plain,
( ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(887,plain,
( ( ( ~ ( in @ sK130_SX0 @ emptyset )
| ~ ( in @ sK130_SX0 @ sK130_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[733]) ).
thf(888,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(889,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(890,plain,
( ( ( ~ ( in @ sK131_SX0 @ emptyset )
| ~ ( in @ sK131_SX0 @ sK131_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[736]) ).
thf(891,plain,
( ( ( in @ sK104_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(892,plain,
( ( ( ~ ( ( sK104_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(893,plain,
( ( ( ~ ! [SY82: $i] :
~ ~ ( ~ ( in @ SY82 @ sK104_SX0 )
| ~ ! [SY83: $i] :
( ~ ( in @ SY83 @ sK104_SX0 )
| ( SY82 = SY83 )
| ( in @ SY82 @ SY83 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(894,plain,
( ( ( in @ sK105_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(895,plain,
( ( ( ~ ( ( sK105_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(896,plain,
( ( ( ~ ! [SY84: $i] :
~ ~ ( ~ ( in @ SY84 @ sK105_SX0 )
| ~ ! [SY85: $i] :
( ~ ( in @ SY85 @ sK105_SX0 )
| ( SY84 = SY85 )
| ( in @ SY84 @ SY85 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(897,plain,
( ( ( ~ ( in @ sK132_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK132_SX0 != emptyset ) )
| ~ ! [SY134: $i] :
~ ~ ( ~ ( in @ SY134 @ sK132_SX0 )
| ~ ! [SY135: $i] :
( ~ ( in @ SY135 @ sK132_SX0 )
| ( SY134 = SY135 )
| ( in @ SY134 @ SY135 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[741]) ).
thf(898,plain,
( ( ( ~ ( in @ sK133_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK133_SX0 != emptyset ) )
| ~ ! [SY136: $i] :
~ ~ ( ~ ( in @ SY136 @ sK133_SX0 )
| ~ ! [SY137: $i] :
( ~ ( in @ SY137 @ sK133_SX0 )
| ( SY136 = SY137 )
| ( in @ SY136 @ SY137 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[742]) ).
thf(899,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(900,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(901,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(902,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(903,plain,
( ( ( ~ ( in @ sK134_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK134_SX0 != emptyset ) )
| ~ ! [SY138: $i] :
~ ~ ( ~ ( in @ SY138 @ sK134_SX0 )
| ~ ! [SY139: $i] :
( ~ ( in @ SY139 @ sK134_SX0 )
| ( SY138 = SY139 )
| ( in @ SY138 @ SY139 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[747]) ).
thf(904,plain,
( ( ( ~ ( in @ sK135_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK135_SX0 != emptyset ) )
| ~ ! [SY140: $i] :
~ ~ ( ~ ( in @ SY140 @ sK135_SX0 )
| ~ ! [SY141: $i] :
( ~ ( in @ SY141 @ sK135_SX0 )
| ( SY140 = SY141 )
| ( in @ SY140 @ SY141 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[748]) ).
thf(905,plain,
! [SV8: $i] :
( ( ( ~ ( in @ SV8 @ sK44_SX0 )
| ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ sK44_SX0 )
| ( SV8 = SY86 )
| ( in @ SV8 @ SY86 ) ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(906,plain,
! [SV9: $i] :
( ( ( ~ ( in @ SV9 @ sK45_SX0 )
| ~ ! [SY87: $i] :
( ~ ( in @ SY87 @ sK45_SX0 )
| ( SV9 = SY87 )
| ( in @ SV9 @ SY87 ) ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(907,plain,
( ( ( sK68_SX0 = emptyset )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(908,plain,
! [SV16: $i] :
( ( ( ~ ~ ( ~ ( in @ SV16 @ sK68_SX0 )
| ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ sK68_SX0 )
| ( SV16 = SY142 )
| ( in @ SV16 @ SY142 ) ) ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(909,plain,
( ( ( sK69_SX0 = emptyset )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(910,plain,
! [SV17: $i] :
( ( ( ~ ~ ( ~ ( in @ SV17 @ sK69_SX0 )
| ~ ! [SY143: $i] :
( ~ ( in @ SY143 @ sK69_SX0 )
| ( SV17 = SY143 )
| ( in @ SV17 @ SY143 ) ) ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(911,plain,
( ( ( ( sK88_SX0 != emptyset ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(912,plain,
( ( ( ! [SY60: $i] :
~ ~ ( ~ ( in @ SY60 @ sK88_SX0 )
| ~ ! [SY61: $i] :
( ~ ( in @ SY61 @ sK88_SX0 )
| ( SY60 = SY61 )
| ( in @ SY60 @ SY61 ) ) ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(913,plain,
( ( ( ( sK89_SX0 != emptyset ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(914,plain,
( ( ( ! [SY62: $i] :
~ ~ ( ~ ( in @ SY62 @ sK89_SX0 )
| ~ ! [SY63: $i] :
( ~ ( in @ SY63 @ sK89_SX0 )
| ( SY62 = SY63 )
| ( in @ SY62 @ SY63 ) ) ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(915,plain,
( ( ( ( sK90_SX0 != emptyset ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(916,plain,
( ( ( ! [SY64: $i] :
~ ~ ( ~ ( in @ SY64 @ sK90_SX0 )
| ~ ! [SY65: $i] :
( ~ ( in @ SY65 @ sK90_SX0 )
| ( SY64 = SY65 )
| ( in @ SY64 @ SY65 ) ) ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[763]) ).
thf(917,plain,
( ( ( ( sK91_SX0 != emptyset ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(918,plain,
( ( ( ! [SY66: $i] :
~ ~ ( ~ ( in @ SY66 @ sK91_SX0 )
| ~ ! [SY67: $i] :
( ~ ( in @ SY67 @ sK91_SX0 )
| ( SY66 = SY67 )
| ( in @ SY66 @ SY67 ) ) ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(919,plain,
( ( ( sK70_SX0 = emptyset )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(920,plain,
! [SV18: $i] :
( ( ( ~ ~ ( ~ ( in @ SV18 @ sK70_SX0 )
| ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ sK70_SX0 )
| ( SV18 = SY144 )
| ( in @ SV18 @ SY144 ) ) ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(921,plain,
( ( ( sK71_SX0 = emptyset )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(922,plain,
! [SV19: $i] :
( ( ( ~ ~ ( ~ ( in @ SV19 @ sK71_SX0 )
| ~ ! [SY145: $i] :
( ~ ( in @ SY145 @ sK71_SX0 )
| ( SV19 = SY145 )
| ( in @ SV19 @ SY145 ) ) ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(923,plain,
( ( ( sK72_SX0 = emptyset )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(924,plain,
! [SV20: $i] :
( ( ( ~ ~ ( ~ ( in @ SV20 @ sK72_SX0 )
| ~ ! [SY146: $i] :
( ~ ( in @ SY146 @ sK72_SX0 )
| ( SV20 = SY146 )
| ( in @ SV20 @ SY146 ) ) ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(925,plain,
( ( ( sK73_SX0 = emptyset )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(926,plain,
! [SV21: $i] :
( ( ( ~ ~ ( ~ ( in @ SV21 @ sK73_SX0 )
| ~ ! [SY147: $i] :
( ~ ( in @ SY147 @ sK73_SX0 )
| ( SV21 = SY147 )
| ( in @ SV21 @ SY147 ) ) ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(927,plain,
( ( ( in @ sK106_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(928,plain,
( ( ( ~ ( ( sK106_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(929,plain,
( ( ( ~ ! [SY88: $i] :
~ ~ ( ~ ( in @ SY88 @ sK106_SX0 )
| ~ ! [SY89: $i] :
( ~ ( in @ SY89 @ sK106_SX0 )
| ( SY88 = SY89 )
| ( in @ SY88 @ SY89 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(930,plain,
( ( ( in @ sK107_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[777]) ).
thf(931,plain,
( ( ( ~ ( ( sK107_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(932,plain,
( ( ( ~ ! [SY90: $i] :
~ ~ ( ~ ( in @ SY90 @ sK107_SX0 )
| ~ ! [SY91: $i] :
( ~ ( in @ SY91 @ sK107_SX0 )
| ( SY90 = SY91 )
| ( in @ SY90 @ SY91 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(933,plain,
( ( ( ~ ( in @ sK120_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(934,plain,
( ( ( ~ ( ( sK120_SX0 != emptyset ) )
| ~ ! [SY112: $i] :
~ ~ ( ~ ( in @ SY112 @ sK120_SX0 )
| ~ ! [SY113: $i] :
( ~ ( in @ SY113 @ sK120_SX0 )
| ( SY112 = SY113 )
| ( in @ SY112 @ SY113 ) ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(935,plain,
( ( ( ~ ( in @ sK121_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(936,plain,
( ( ( ~ ( ( sK121_SX0 != emptyset ) )
| ~ ! [SY114: $i] :
~ ~ ( ~ ( in @ SY114 @ sK121_SX0 )
| ~ ! [SY115: $i] :
( ~ ( in @ SY115 @ sK121_SX0 )
| ( SY114 = SY115 )
| ( in @ SY114 @ SY115 ) ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(937,plain,
( ( ( ~ ( in @ sK122_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(938,plain,
( ( ( ~ ( ( sK122_SX0 != emptyset ) )
| ~ ! [SY116: $i] :
~ ~ ( ~ ( in @ SY116 @ sK122_SX0 )
| ~ ! [SY117: $i] :
( ~ ( in @ SY117 @ sK122_SX0 )
| ( SY116 = SY117 )
| ( in @ SY116 @ SY117 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(939,plain,
( ( ( ~ ( in @ sK123_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(940,plain,
( ( ( ~ ( ( sK123_SX0 != emptyset ) )
| ~ ! [SY118: $i] :
~ ~ ( ~ ( in @ SY118 @ sK123_SX0 )
| ~ ! [SY119: $i] :
( ~ ( in @ SY119 @ sK123_SX0 )
| ( SY118 = SY119 )
| ( in @ SY118 @ SY119 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(941,plain,
( ( ( in @ sK108_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(942,plain,
( ( ( ~ ( ( sK108_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(943,plain,
( ( ( ~ ! [SY92: $i] :
~ ~ ( ~ ( in @ SY92 @ sK108_SX0 )
| ~ ! [SY93: $i] :
( ~ ( in @ SY93 @ sK108_SX0 )
| ( SY92 = SY93 )
| ( in @ SY92 @ SY93 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(944,plain,
( ( ( in @ sK109_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(945,plain,
( ( ( ~ ( ( sK109_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[786]) ).
thf(946,plain,
( ( ( ~ ! [SY94: $i] :
~ ~ ( ~ ( in @ SY94 @ sK109_SX0 )
| ~ ! [SY95: $i] :
( ~ ( in @ SY95 @ sK109_SX0 )
| ( SY94 = SY95 )
| ( in @ SY94 @ SY95 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[786]) ).
thf(947,plain,
( ( ( in @ sK110_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(948,plain,
( ( ( ~ ( ( sK110_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[788]) ).
thf(949,plain,
( ( ( ~ ! [SY96: $i] :
~ ~ ( ~ ( in @ SY96 @ sK110_SX0 )
| ~ ! [SY97: $i] :
( ~ ( in @ SY97 @ sK110_SX0 )
| ( SY96 = SY97 )
| ( in @ SY96 @ SY97 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[788]) ).
thf(950,plain,
( ( ( in @ sK111_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(951,plain,
( ( ( ~ ( ( sK111_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[790]) ).
thf(952,plain,
( ( ( ~ ! [SY98: $i] :
~ ~ ( ~ ( in @ SY98 @ sK111_SX0 )
| ~ ! [SY99: $i] :
( ~ ( in @ SY99 @ sK111_SX0 )
| ( SY98 = SY99 )
| ( in @ SY98 @ SY99 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[790]) ).
thf(953,plain,
( ( ( ~ ( in @ sK136_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK136_SX0 != emptyset ) )
| ~ ! [SY148: $i] :
~ ~ ( ~ ( in @ SY148 @ sK136_SX0 )
| ~ ! [SY149: $i] :
( ~ ( in @ SY149 @ sK136_SX0 )
| ( SY148 = SY149 )
| ( in @ SY148 @ SY149 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[791]) ).
thf(954,plain,
( ( ( ~ ( in @ sK137_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK137_SX0 != emptyset ) )
| ~ ! [SY150: $i] :
~ ~ ( ~ ( in @ SY150 @ sK137_SX0 )
| ~ ! [SY151: $i] :
( ~ ( in @ SY151 @ sK137_SX0 )
| ( SY150 = SY151 )
| ( in @ SY150 @ SY151 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[792]) ).
thf(955,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(956,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(957,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(958,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(959,plain,
( ( ( ~ ( in @ sK138_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK138_SX0 != emptyset ) )
| ~ ! [SY152: $i] :
~ ~ ( ~ ( in @ SY152 @ sK138_SX0 )
| ~ ! [SY153: $i] :
( ~ ( in @ SY153 @ sK138_SX0 )
| ( SY152 = SY153 )
| ( in @ SY152 @ SY153 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[797]) ).
thf(960,plain,
( ( ( ~ ( in @ sK139_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK139_SX0 != emptyset ) )
| ~ ! [SY154: $i] :
~ ~ ( ~ ( in @ SY154 @ sK139_SX0 )
| ~ ! [SY155: $i] :
( ~ ( in @ SY155 @ sK139_SX0 )
| ( SY154 = SY155 )
| ( in @ SY154 @ SY155 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[798]) ).
thf(961,plain,
( ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(962,plain,
( ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(963,plain,
( ( ( ~ ( in @ sK140_SX0 @ emptyset )
| ~ ( in @ sK140_SX0 @ sK140_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[801]) ).
thf(964,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(965,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(966,plain,
( ( ( ~ ( in @ sK141_SX0 @ emptyset )
| ~ ( in @ sK141_SX0 @ sK141_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[804]) ).
thf(967,plain,
( ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(968,plain,
( ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(969,plain,
( ( ( ~ ( in @ sK142_SX0 @ emptyset )
| ~ ( in @ sK142_SX0 @ sK142_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[807]) ).
thf(970,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(971,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ emptyset )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(972,plain,
( ( ( ~ ( in @ sK143_SX0 @ emptyset )
| ~ ( in @ sK143_SX0 @ sK143_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[810]) ).
thf(973,plain,
( ( ( in @ sK114_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(974,plain,
( ( ( ~ ( ( sK114_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[812]) ).
thf(975,plain,
( ( ( ~ ! [SY100: $i] :
~ ~ ( ~ ( in @ SY100 @ sK114_SX0 )
| ~ ! [SY101: $i] :
( ~ ( in @ SY101 @ sK114_SX0 )
| ( SY100 = SY101 )
| ( in @ SY100 @ SY101 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[812]) ).
thf(976,plain,
( ( ( in @ sK115_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(977,plain,
( ( ( ~ ( ( sK115_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[814]) ).
thf(978,plain,
( ( ( ~ ! [SY102: $i] :
~ ~ ( ~ ( in @ SY102 @ sK115_SX0 )
| ~ ! [SY103: $i] :
( ~ ( in @ SY103 @ sK115_SX0 )
| ( SY102 = SY103 )
| ( in @ SY102 @ SY103 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[814]) ).
thf(979,plain,
( ( ( ~ ( in @ sK144_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK144_SX0 != emptyset ) )
| ~ ! [SY156: $i] :
~ ~ ( ~ ( in @ SY156 @ sK144_SX0 )
| ~ ! [SY157: $i] :
( ~ ( in @ SY157 @ sK144_SX0 )
| ( SY156 = SY157 )
| ( in @ SY156 @ SY157 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[815]) ).
thf(980,plain,
( ( ( ~ ( in @ sK145_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK145_SX0 != emptyset ) )
| ~ ! [SY158: $i] :
~ ~ ( ~ ( in @ SY158 @ sK145_SX0 )
| ~ ! [SY159: $i] :
( ~ ( in @ SY159 @ sK145_SX0 )
| ( SY158 = SY159 )
| ( in @ SY158 @ SY159 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[816]) ).
thf(981,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(982,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(983,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(984,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(985,plain,
( ( ( ~ ( in @ sK146_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK146_SX0 != emptyset ) )
| ~ ! [SY160: $i] :
~ ~ ( ~ ( in @ SY160 @ sK146_SX0 )
| ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ sK146_SX0 )
| ( SY160 = SY161 )
| ( in @ SY160 @ SY161 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[821]) ).
thf(986,plain,
( ( ( ~ ( in @ sK147_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK147_SX0 != emptyset ) )
| ~ ! [SY162: $i] :
~ ~ ( ~ ( in @ SY162 @ sK147_SX0 )
| ~ ! [SY163: $i] :
( ~ ( in @ SY163 @ sK147_SX0 )
| ( SY162 = SY163 )
| ( in @ SY162 @ SY163 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[822]) ).
thf(987,plain,
! [SV6: $i] :
( ( ( ~ ( in @ SV6 @ sK36_SX0 ) )
= $true )
| ( ( ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ sK36_SX0 )
| ( SV6 = SY68 )
| ( in @ SV6 @ SY68 ) ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(988,plain,
! [SV7: $i] :
( ( ( ~ ( in @ SV7 @ sK37_SX0 ) )
= $true )
| ( ( ~ ! [SY69: $i] :
( ~ ( in @ SY69 @ sK37_SX0 )
| ( SV7 = SY69 )
| ( in @ SV7 @ SY69 ) ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(989,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ( in @ SV10 @ sK56_SX0 )
| ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ sK56_SX0 )
| ( SV10 = SY120 )
| ( in @ SV10 @ SY120 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(990,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ( in @ SV11 @ sK57_SX0 )
| ~ ! [SY121: $i] :
( ~ ( in @ SY121 @ sK57_SX0 )
| ( SV11 = SY121 )
| ( in @ SV11 @ SY121 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(991,plain,
( ( ( sK80_SX0 = emptyset )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(992,plain,
! [SV22: $i] :
( ( ( ~ ~ ( ~ ( in @ SV22 @ sK80_SX0 )
| ~ ! [SY164: $i] :
( ~ ( in @ SY164 @ sK80_SX0 )
| ( SV22 = SY164 )
| ( in @ SV22 @ SY164 ) ) ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(993,plain,
( ( ( sK81_SX0 = emptyset )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(994,plain,
! [SV23: $i] :
( ( ( ~ ~ ( ~ ( in @ SV23 @ sK81_SX0 )
| ~ ! [SY165: $i] :
( ~ ( in @ SY165 @ sK81_SX0 )
| ( SV23 = SY165 )
| ( in @ SV23 @ SY165 ) ) ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(995,plain,
( ( ( sK82_SX0 = emptyset )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(996,plain,
! [SV24: $i] :
( ( ( ~ ~ ( ~ ( in @ SV24 @ sK82_SX0 )
| ~ ! [SY166: $i] :
( ~ ( in @ SY166 @ sK82_SX0 )
| ( SV24 = SY166 )
| ( in @ SV24 @ SY166 ) ) ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(997,plain,
( ( ( sK83_SX0 = emptyset )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(998,plain,
! [SV25: $i] :
( ( ( ~ ~ ( ~ ( in @ SV25 @ sK83_SX0 )
| ~ ! [SY167: $i] :
( ~ ( in @ SY167 @ sK83_SX0 )
| ( SV25 = SY167 )
| ( in @ SV25 @ SY167 ) ) ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(999,plain,
! [SV12: $i] :
( ( ( ~ ( ~ ( in @ SV12 @ sK58_SX0 )
| ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ sK58_SX0 )
| ( SV12 = SY122 )
| ( in @ SV12 @ SY122 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(1000,plain,
! [SV13: $i] :
( ( ( ~ ( ~ ( in @ SV13 @ sK59_SX0 )
| ~ ! [SY123: $i] :
( ~ ( in @ SY123 @ sK59_SX0 )
| ( SV13 = SY123 )
| ( in @ SV13 @ SY123 ) ) ) )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(1001,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ( in @ SV14 @ sK60_SX0 )
| ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ sK60_SX0 )
| ( SV14 = SY124 )
| ( in @ SV14 @ SY124 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(1002,plain,
! [SV15: $i] :
( ( ( ~ ( ~ ( in @ SV15 @ sK61_SX0 )
| ~ ! [SY125: $i] :
( ~ ( in @ SY125 @ sK61_SX0 )
| ( SV15 = SY125 )
| ( in @ SV15 @ SY125 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(1003,plain,
( ( ( ( sK96_SX0 != emptyset ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[846]) ).
thf(1004,plain,
( ( ( ! [SY70: $i] :
~ ~ ( ~ ( in @ SY70 @ sK96_SX0 )
| ~ ! [SY71: $i] :
( ~ ( in @ SY71 @ sK96_SX0 )
| ( SY70 = SY71 )
| ( in @ SY70 @ SY71 ) ) ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[847]) ).
thf(1005,plain,
( ( ( ( sK97_SX0 != emptyset ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[849]) ).
thf(1006,plain,
( ( ( ! [SY72: $i] :
~ ~ ( ~ ( in @ SY72 @ sK97_SX0 )
| ~ ! [SY73: $i] :
( ~ ( in @ SY73 @ sK97_SX0 )
| ( SY72 = SY73 )
| ( in @ SY72 @ SY73 ) ) ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[850]) ).
thf(1007,plain,
( ( ( in @ sK116_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(1008,plain,
( ( ( ~ ( ( sK116_SX0 != emptyset ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[852]) ).
thf(1009,plain,
( ( ( ~ ! [SY104: $i] :
~ ~ ( ~ ( in @ SY104 @ sK116_SX0 )
| ~ ! [SY105: $i] :
( ~ ( in @ SY105 @ sK116_SX0 )
| ( SY104 = SY105 )
| ( in @ SY104 @ SY105 ) ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[852]) ).
thf(1010,plain,
( ( ( in @ sK117_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[853]) ).
thf(1011,plain,
( ( ( ~ ( ( sK117_SX0 != emptyset ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[854]) ).
thf(1012,plain,
( ( ( ~ ! [SY106: $i] :
~ ~ ( ~ ( in @ SY106 @ sK117_SX0 )
| ~ ! [SY107: $i] :
( ~ ( in @ SY107 @ sK117_SX0 )
| ( SY106 = SY107 )
| ( in @ SY106 @ SY107 ) ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[854]) ).
thf(1013,plain,
( ( ( in @ sK118_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[855]) ).
thf(1014,plain,
( ( ( ~ ( ( sK118_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[856]) ).
thf(1015,plain,
( ( ( ~ ! [SY108: $i] :
~ ~ ( ~ ( in @ SY108 @ sK118_SX0 )
| ~ ! [SY109: $i] :
( ~ ( in @ SY109 @ sK118_SX0 )
| ( SY108 = SY109 )
| ( in @ SY108 @ SY109 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[856]) ).
thf(1016,plain,
( ( ( in @ sK119_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(1017,plain,
( ( ( ~ ( ( sK119_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(1018,plain,
( ( ( ~ ! [SY110: $i] :
~ ~ ( ~ ( in @ SY110 @ sK119_SX0 )
| ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ sK119_SX0 )
| ( SY110 = SY111 )
| ( in @ SY110 @ SY111 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(1019,plain,
( ( ( ( sK98_SX0 != emptyset ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(1020,plain,
( ( ( ! [SY74: $i] :
~ ~ ( ~ ( in @ SY74 @ sK98_SX0 )
| ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ sK98_SX0 )
| ( SY74 = SY75 )
| ( in @ SY74 @ SY75 ) ) ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(1021,plain,
( ( ( ( sK99_SX0 != emptyset ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(1022,plain,
( ( ( ! [SY76: $i] :
~ ~ ( ~ ( in @ SY76 @ sK99_SX0 )
| ~ ! [SY77: $i] :
( ~ ( in @ SY77 @ sK99_SX0 )
| ( SY76 = SY77 )
| ( in @ SY76 @ SY77 ) ) ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(1023,plain,
( ( ( ( sK100_SX0 != emptyset ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(1024,plain,
( ( ( ! [SY78: $i] :
~ ~ ( ~ ( in @ SY78 @ sK100_SX0 )
| ~ ! [SY79: $i] :
( ~ ( in @ SY79 @ sK100_SX0 )
| ( SY78 = SY79 )
| ( in @ SY78 @ SY79 ) ) ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[867]) ).
thf(1025,plain,
( ( ( ( sK101_SX0 != emptyset ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[869]) ).
thf(1026,plain,
( ( ( ! [SY80: $i] :
~ ~ ( ~ ( in @ SY80 @ sK101_SX0 )
| ~ ! [SY81: $i] :
( ~ ( in @ SY81 @ sK101_SX0 )
| ( SY80 = SY81 )
| ( in @ SY80 @ SY81 ) ) ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[870]) ).
thf(1027,plain,
( ( ( ~ ( in @ sK124_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(1028,plain,
( ( ( ~ ( ( sK124_SX0 != emptyset ) )
| ~ ! [SY126: $i] :
~ ~ ( ~ ( in @ SY126 @ sK124_SX0 )
| ~ ! [SY127: $i] :
( ~ ( in @ SY127 @ sK124_SX0 )
| ( SY126 = SY127 )
| ( in @ SY126 @ SY127 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(1029,plain,
( ( ( ~ ( in @ sK125_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[872]) ).
thf(1030,plain,
( ( ( ~ ( ( sK125_SX0 != emptyset ) )
| ~ ! [SY128: $i] :
~ ~ ( ~ ( in @ SY128 @ sK125_SX0 )
| ~ ! [SY129: $i] :
( ~ ( in @ SY129 @ sK125_SX0 )
| ( SY128 = SY129 )
| ( in @ SY128 @ SY129 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[872]) ).
thf(1031,plain,
( ( ( ~ ( in @ sK148_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK148_SX0 != emptyset ) )
| ~ ! [SY168: $i] :
~ ~ ( ~ ( in @ SY168 @ sK148_SX0 )
| ~ ! [SY169: $i] :
( ~ ( in @ SY169 @ sK148_SX0 )
| ( SY168 = SY169 )
| ( in @ SY168 @ SY169 ) ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[873]) ).
thf(1032,plain,
( ( ( ~ ( in @ sK149_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK149_SX0 != emptyset ) )
| ~ ! [SY170: $i] :
~ ~ ( ~ ( in @ SY170 @ sK149_SX0 )
| ~ ! [SY171: $i] :
( ~ ( in @ SY171 @ sK149_SX0 )
| ( SY170 = SY171 )
| ( in @ SY170 @ SY171 ) ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[874]) ).
thf(1033,plain,
( ( ( ~ ( in @ sK150_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK150_SX0 != emptyset ) )
| ~ ! [SY172: $i] :
~ ~ ( ~ ( in @ SY172 @ sK150_SX0 )
| ~ ! [SY173: $i] :
( ~ ( in @ SY173 @ sK150_SX0 )
| ( SY172 = SY173 )
| ( in @ SY172 @ SY173 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[875]) ).
thf(1034,plain,
( ( ( ~ ( in @ sK151_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK151_SX0 != emptyset ) )
| ~ ! [SY174: $i] :
~ ~ ( ~ ( in @ SY174 @ sK151_SX0 )
| ~ ! [SY175: $i] :
( ~ ( in @ SY175 @ sK151_SX0 )
| ( SY174 = SY175 )
| ( in @ SY174 @ SY175 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[876]) ).
thf(1035,plain,
( ( ( ~ ( in @ sK126_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(1036,plain,
( ( ( ~ ( ( sK126_SX0 != emptyset ) )
| ~ ! [SY130: $i] :
~ ~ ( ~ ( in @ SY130 @ sK126_SX0 )
| ~ ! [SY131: $i] :
( ~ ( in @ SY131 @ sK126_SX0 )
| ( SY130 = SY131 )
| ( in @ SY130 @ SY131 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(1037,plain,
( ( ( ~ ( in @ sK127_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(1038,plain,
( ( ( ~ ( ( sK127_SX0 != emptyset ) )
| ~ ! [SY132: $i] :
~ ~ ( ~ ( in @ SY132 @ sK127_SX0 )
| ~ ! [SY133: $i] :
( ~ ( in @ SY133 @ sK127_SX0 )
| ( SY132 = SY133 )
| ( in @ SY132 @ SY133 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(1039,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(1040,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(1041,plain,
( ( ( ~ ( in @ sK128_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(1042,plain,
( ( ( ~ ( in @ sK128_SX0 @ sK128_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(1043,plain,
( ( ( ~ ( in @ sK152_SX0 @ emptyset )
| ~ ( in @ sK152_SX0 @ sK152_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[882]) ).
thf(1044,plain,
( ( ( ~ ( in @ sK153_SX0 @ emptyset )
| ~ ( in @ sK153_SX0 @ sK153_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[883]) ).
thf(1045,plain,
( ( ( ~ ( in @ sK129_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(1046,plain,
( ( ( ~ ( in @ sK129_SX0 @ sK129_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(1047,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(1048,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(1049,plain,
( ( ( ~ ( in @ sK130_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(1050,plain,
( ( ( ~ ( in @ sK130_SX0 @ sK130_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(1051,plain,
( ( ( ~ ( in @ sK154_SX0 @ emptyset )
| ~ ( in @ sK154_SX0 @ sK154_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[888]) ).
thf(1052,plain,
( ( ( ~ ( in @ sK155_SX0 @ emptyset )
| ~ ( in @ sK155_SX0 @ sK155_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[889]) ).
thf(1053,plain,
( ( ( ~ ( in @ sK131_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(1054,plain,
( ( ( ~ ( in @ sK131_SX0 @ sK131_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(1055,plain,
( ( ( ( sK104_SX0 != emptyset ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[892]) ).
thf(1056,plain,
( ( ( ! [SY82: $i] :
~ ~ ( ~ ( in @ SY82 @ sK104_SX0 )
| ~ ! [SY83: $i] :
( ~ ( in @ SY83 @ sK104_SX0 )
| ( SY82 = SY83 )
| ( in @ SY82 @ SY83 ) ) ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(1057,plain,
( ( ( ( sK105_SX0 != emptyset ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(1058,plain,
( ( ( ! [SY84: $i] :
~ ~ ( ~ ( in @ SY84 @ sK105_SX0 )
| ~ ! [SY85: $i] :
( ~ ( in @ SY85 @ sK105_SX0 )
| ( SY84 = SY85 )
| ( in @ SY84 @ SY85 ) ) ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(1059,plain,
( ( ( ~ ( in @ sK132_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(1060,plain,
( ( ( ~ ( ( sK132_SX0 != emptyset ) )
| ~ ! [SY134: $i] :
~ ~ ( ~ ( in @ SY134 @ sK132_SX0 )
| ~ ! [SY135: $i] :
( ~ ( in @ SY135 @ sK132_SX0 )
| ( SY134 = SY135 )
| ( in @ SY134 @ SY135 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(1061,plain,
( ( ( ~ ( in @ sK133_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(1062,plain,
( ( ( ~ ( ( sK133_SX0 != emptyset ) )
| ~ ! [SY136: $i] :
~ ~ ( ~ ( in @ SY136 @ sK133_SX0 )
| ~ ! [SY137: $i] :
( ~ ( in @ SY137 @ sK133_SX0 )
| ( SY136 = SY137 )
| ( in @ SY136 @ SY137 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(1063,plain,
( ( ( ~ ( in @ sK156_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK156_SX0 != emptyset ) )
| ~ ! [SY176: $i] :
~ ~ ( ~ ( in @ SY176 @ sK156_SX0 )
| ~ ! [SY177: $i] :
( ~ ( in @ SY177 @ sK156_SX0 )
| ( SY176 = SY177 )
| ( in @ SY176 @ SY177 ) ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[899]) ).
thf(1064,plain,
( ( ( ~ ( in @ sK157_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK157_SX0 != emptyset ) )
| ~ ! [SY178: $i] :
~ ~ ( ~ ( in @ SY178 @ sK157_SX0 )
| ~ ! [SY179: $i] :
( ~ ( in @ SY179 @ sK157_SX0 )
| ( SY178 = SY179 )
| ( in @ SY178 @ SY179 ) ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[900]) ).
thf(1065,plain,
( ( ( ~ ( in @ sK158_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK158_SX0 != emptyset ) )
| ~ ! [SY180: $i] :
~ ~ ( ~ ( in @ SY180 @ sK158_SX0 )
| ~ ! [SY181: $i] :
( ~ ( in @ SY181 @ sK158_SX0 )
| ( SY180 = SY181 )
| ( in @ SY180 @ SY181 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[901]) ).
thf(1066,plain,
( ( ( ~ ( in @ sK159_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK159_SX0 != emptyset ) )
| ~ ! [SY182: $i] :
~ ~ ( ~ ( in @ SY182 @ sK159_SX0 )
| ~ ! [SY183: $i] :
( ~ ( in @ SY183 @ sK159_SX0 )
| ( SY182 = SY183 )
| ( in @ SY182 @ SY183 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[902]) ).
thf(1067,plain,
( ( ( ~ ( in @ sK134_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(1068,plain,
( ( ( ~ ( ( sK134_SX0 != emptyset ) )
| ~ ! [SY138: $i] :
~ ~ ( ~ ( in @ SY138 @ sK134_SX0 )
| ~ ! [SY139: $i] :
( ~ ( in @ SY139 @ sK134_SX0 )
| ( SY138 = SY139 )
| ( in @ SY138 @ SY139 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(1069,plain,
( ( ( ~ ( in @ sK135_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(1070,plain,
( ( ( ~ ( ( sK135_SX0 != emptyset ) )
| ~ ! [SY140: $i] :
~ ~ ( ~ ( in @ SY140 @ sK135_SX0 )
| ~ ! [SY141: $i] :
( ~ ( in @ SY141 @ sK135_SX0 )
| ( SY140 = SY141 )
| ( in @ SY140 @ SY141 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(1071,plain,
! [SV8: $i] :
( ( ( ~ ( in @ SV8 @ sK44_SX0 ) )
= $true )
| ( ( ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ sK44_SX0 )
| ( SV8 = SY86 )
| ( in @ SV8 @ SY86 ) ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[905]) ).
thf(1072,plain,
! [SV9: $i] :
( ( ( ~ ( in @ SV9 @ sK45_SX0 ) )
= $true )
| ( ( ~ ! [SY87: $i] :
( ~ ( in @ SY87 @ sK45_SX0 )
| ( SV9 = SY87 )
| ( in @ SV9 @ SY87 ) ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(1073,plain,
! [SV16: $i] :
( ( ( ~ ( ~ ( in @ SV16 @ sK68_SX0 )
| ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ sK68_SX0 )
| ( SV16 = SY142 )
| ( in @ SV16 @ SY142 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(1074,plain,
! [SV17: $i] :
( ( ( ~ ( ~ ( in @ SV17 @ sK69_SX0 )
| ~ ! [SY143: $i] :
( ~ ( in @ SY143 @ sK69_SX0 )
| ( SV17 = SY143 )
| ( in @ SV17 @ SY143 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(1075,plain,
( ( ( sK88_SX0 = emptyset )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(1076,plain,
! [SV26: $i] :
( ( ( ~ ~ ( ~ ( in @ SV26 @ sK88_SX0 )
| ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ sK88_SX0 )
| ( SV26 = SY184 )
| ( in @ SV26 @ SY184 ) ) ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(1077,plain,
( ( ( sK89_SX0 = emptyset )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(1078,plain,
! [SV27: $i] :
( ( ( ~ ~ ( ~ ( in @ SV27 @ sK89_SX0 )
| ~ ! [SY185: $i] :
( ~ ( in @ SY185 @ sK89_SX0 )
| ( SV27 = SY185 )
| ( in @ SV27 @ SY185 ) ) ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(1079,plain,
( ( ( sK90_SX0 = emptyset )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(1080,plain,
! [SV28: $i] :
( ( ( ~ ~ ( ~ ( in @ SV28 @ sK90_SX0 )
| ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ sK90_SX0 )
| ( SV28 = SY186 )
| ( in @ SV28 @ SY186 ) ) ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(1081,plain,
( ( ( sK91_SX0 = emptyset )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(1082,plain,
! [SV29: $i] :
( ( ( ~ ~ ( ~ ( in @ SV29 @ sK91_SX0 )
| ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ sK91_SX0 )
| ( SV29 = SY187 )
| ( in @ SV29 @ SY187 ) ) ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(1083,plain,
! [SV18: $i] :
( ( ( ~ ( ~ ( in @ SV18 @ sK70_SX0 )
| ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ sK70_SX0 )
| ( SV18 = SY144 )
| ( in @ SV18 @ SY144 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(1084,plain,
! [SV19: $i] :
( ( ( ~ ( ~ ( in @ SV19 @ sK71_SX0 )
| ~ ! [SY145: $i] :
( ~ ( in @ SY145 @ sK71_SX0 )
| ( SV19 = SY145 )
| ( in @ SV19 @ SY145 ) ) ) )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(1085,plain,
! [SV20: $i] :
( ( ( ~ ( ~ ( in @ SV20 @ sK72_SX0 )
| ~ ! [SY146: $i] :
( ~ ( in @ SY146 @ sK72_SX0 )
| ( SV20 = SY146 )
| ( in @ SV20 @ SY146 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(1086,plain,
! [SV21: $i] :
( ( ( ~ ( ~ ( in @ SV21 @ sK73_SX0 )
| ~ ! [SY147: $i] :
( ~ ( in @ SY147 @ sK73_SX0 )
| ( SV21 = SY147 )
| ( in @ SV21 @ SY147 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(1087,plain,
( ( ( ( sK106_SX0 != emptyset ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[928]) ).
thf(1088,plain,
( ( ( ! [SY88: $i] :
~ ~ ( ~ ( in @ SY88 @ sK106_SX0 )
| ~ ! [SY89: $i] :
( ~ ( in @ SY89 @ sK106_SX0 )
| ( SY88 = SY89 )
| ( in @ SY88 @ SY89 ) ) ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(1089,plain,
( ( ( ( sK107_SX0 != emptyset ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(1090,plain,
( ( ( ! [SY90: $i] :
~ ~ ( ~ ( in @ SY90 @ sK107_SX0 )
| ~ ! [SY91: $i] :
( ~ ( in @ SY91 @ sK107_SX0 )
| ( SY90 = SY91 )
| ( in @ SY90 @ SY91 ) ) ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(1091,plain,
( ( ( in @ sK120_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(1092,plain,
( ( ( ~ ( ( sK120_SX0 != emptyset ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[934]) ).
thf(1093,plain,
( ( ( ~ ! [SY112: $i] :
~ ~ ( ~ ( in @ SY112 @ sK120_SX0 )
| ~ ! [SY113: $i] :
( ~ ( in @ SY113 @ sK120_SX0 )
| ( SY112 = SY113 )
| ( in @ SY112 @ SY113 ) ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[934]) ).
thf(1094,plain,
( ( ( in @ sK121_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(1095,plain,
( ( ( ~ ( ( sK121_SX0 != emptyset ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[936]) ).
thf(1096,plain,
( ( ( ~ ! [SY114: $i] :
~ ~ ( ~ ( in @ SY114 @ sK121_SX0 )
| ~ ! [SY115: $i] :
( ~ ( in @ SY115 @ sK121_SX0 )
| ( SY114 = SY115 )
| ( in @ SY114 @ SY115 ) ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[936]) ).
thf(1097,plain,
( ( ( in @ sK122_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[937]) ).
thf(1098,plain,
( ( ( ~ ( ( sK122_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(1099,plain,
( ( ( ~ ! [SY116: $i] :
~ ~ ( ~ ( in @ SY116 @ sK122_SX0 )
| ~ ! [SY117: $i] :
( ~ ( in @ SY117 @ sK122_SX0 )
| ( SY116 = SY117 )
| ( in @ SY116 @ SY117 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(1100,plain,
( ( ( in @ sK123_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[939]) ).
thf(1101,plain,
( ( ( ~ ( ( sK123_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(1102,plain,
( ( ( ~ ! [SY118: $i] :
~ ~ ( ~ ( in @ SY118 @ sK123_SX0 )
| ~ ! [SY119: $i] :
( ~ ( in @ SY119 @ sK123_SX0 )
| ( SY118 = SY119 )
| ( in @ SY118 @ SY119 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(1103,plain,
( ( ( ( sK108_SX0 != emptyset ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[942]) ).
thf(1104,plain,
( ( ( ! [SY92: $i] :
~ ~ ( ~ ( in @ SY92 @ sK108_SX0 )
| ~ ! [SY93: $i] :
( ~ ( in @ SY93 @ sK108_SX0 )
| ( SY92 = SY93 )
| ( in @ SY92 @ SY93 ) ) ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[943]) ).
thf(1105,plain,
( ( ( ( sK109_SX0 != emptyset ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[945]) ).
thf(1106,plain,
( ( ( ! [SY94: $i] :
~ ~ ( ~ ( in @ SY94 @ sK109_SX0 )
| ~ ! [SY95: $i] :
( ~ ( in @ SY95 @ sK109_SX0 )
| ( SY94 = SY95 )
| ( in @ SY94 @ SY95 ) ) ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[946]) ).
thf(1107,plain,
( ( ( ( sK110_SX0 != emptyset ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[948]) ).
thf(1108,plain,
( ( ( ! [SY96: $i] :
~ ~ ( ~ ( in @ SY96 @ sK110_SX0 )
| ~ ! [SY97: $i] :
( ~ ( in @ SY97 @ sK110_SX0 )
| ( SY96 = SY97 )
| ( in @ SY96 @ SY97 ) ) ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(1109,plain,
( ( ( ( sK111_SX0 != emptyset ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(1110,plain,
( ( ( ! [SY98: $i] :
~ ~ ( ~ ( in @ SY98 @ sK111_SX0 )
| ~ ! [SY99: $i] :
( ~ ( in @ SY99 @ sK111_SX0 )
| ( SY98 = SY99 )
| ( in @ SY98 @ SY99 ) ) ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(1111,plain,
( ( ( ~ ( in @ sK136_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1112,plain,
( ( ( ~ ( ( sK136_SX0 != emptyset ) )
| ~ ! [SY148: $i] :
~ ~ ( ~ ( in @ SY148 @ sK136_SX0 )
| ~ ! [SY149: $i] :
( ~ ( in @ SY149 @ sK136_SX0 )
| ( SY148 = SY149 )
| ( in @ SY148 @ SY149 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1113,plain,
( ( ( ~ ( in @ sK137_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1114,plain,
( ( ( ~ ( ( sK137_SX0 != emptyset ) )
| ~ ! [SY150: $i] :
~ ~ ( ~ ( in @ SY150 @ sK137_SX0 )
| ~ ! [SY151: $i] :
( ~ ( in @ SY151 @ sK137_SX0 )
| ( SY150 = SY151 )
| ( in @ SY150 @ SY151 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1115,plain,
( ( ( ~ ( in @ sK160_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK160_SX0 != emptyset ) )
| ~ ! [SY188: $i] :
~ ~ ( ~ ( in @ SY188 @ sK160_SX0 )
| ~ ! [SY189: $i] :
( ~ ( in @ SY189 @ sK160_SX0 )
| ( SY188 = SY189 )
| ( in @ SY188 @ SY189 ) ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[955]) ).
thf(1116,plain,
( ( ( ~ ( in @ sK161_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK161_SX0 != emptyset ) )
| ~ ! [SY190: $i] :
~ ~ ( ~ ( in @ SY190 @ sK161_SX0 )
| ~ ! [SY191: $i] :
( ~ ( in @ SY191 @ sK161_SX0 )
| ( SY190 = SY191 )
| ( in @ SY190 @ SY191 ) ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[956]) ).
thf(1117,plain,
( ( ( ~ ( in @ sK162_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK162_SX0 != emptyset ) )
| ~ ! [SY192: $i] :
~ ~ ( ~ ( in @ SY192 @ sK162_SX0 )
| ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ sK162_SX0 )
| ( SY192 = SY193 )
| ( in @ SY192 @ SY193 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[957]) ).
thf(1118,plain,
( ( ( ~ ( in @ sK163_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK163_SX0 != emptyset ) )
| ~ ! [SY194: $i] :
~ ~ ( ~ ( in @ SY194 @ sK163_SX0 )
| ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ sK163_SX0 )
| ( SY194 = SY195 )
| ( in @ SY194 @ SY195 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[958]) ).
thf(1119,plain,
( ( ( ~ ( in @ sK138_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(1120,plain,
( ( ( ~ ( ( sK138_SX0 != emptyset ) )
| ~ ! [SY152: $i] :
~ ~ ( ~ ( in @ SY152 @ sK138_SX0 )
| ~ ! [SY153: $i] :
( ~ ( in @ SY153 @ sK138_SX0 )
| ( SY152 = SY153 )
| ( in @ SY152 @ SY153 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(1121,plain,
( ( ( ~ ( in @ sK139_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1122,plain,
( ( ( ~ ( ( sK139_SX0 != emptyset ) )
| ~ ! [SY154: $i] :
~ ~ ( ~ ( in @ SY154 @ sK139_SX0 )
| ~ ! [SY155: $i] :
( ~ ( in @ SY155 @ sK139_SX0 )
| ( SY154 = SY155 )
| ( in @ SY154 @ SY155 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1123,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1124,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(1125,plain,
( ( ( ~ ( in @ sK140_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1126,plain,
( ( ( ~ ( in @ sK140_SX0 @ sK140_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1127,plain,
( ( ( ~ ( in @ sK164_SX0 @ emptyset )
| ~ ( in @ sK164_SX0 @ sK164_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[964]) ).
thf(1128,plain,
( ( ( ~ ( in @ sK165_SX0 @ emptyset )
| ~ ( in @ sK165_SX0 @ sK165_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[965]) ).
thf(1129,plain,
( ( ( ~ ( in @ sK141_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[966]) ).
thf(1130,plain,
( ( ( ~ ( in @ sK141_SX0 @ sK141_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[966]) ).
thf(1131,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(1132,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(1133,plain,
( ( ( ~ ( in @ sK142_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1134,plain,
( ( ( ~ ( in @ sK142_SX0 @ sK142_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1135,plain,
( ( ( ~ ( in @ sK166_SX0 @ emptyset )
| ~ ( in @ sK166_SX0 @ sK166_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[970]) ).
thf(1136,plain,
( ( ( ~ ( in @ sK167_SX0 @ emptyset )
| ~ ( in @ sK167_SX0 @ sK167_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[971]) ).
thf(1137,plain,
( ( ( ~ ( in @ sK143_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[972]) ).
thf(1138,plain,
( ( ( ~ ( in @ sK143_SX0 @ sK143_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[972]) ).
thf(1139,plain,
( ( ( ( sK114_SX0 != emptyset ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[974]) ).
thf(1140,plain,
( ( ( ! [SY100: $i] :
~ ~ ( ~ ( in @ SY100 @ sK114_SX0 )
| ~ ! [SY101: $i] :
( ~ ( in @ SY101 @ sK114_SX0 )
| ( SY100 = SY101 )
| ( in @ SY100 @ SY101 ) ) ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(1141,plain,
( ( ( ( sK115_SX0 != emptyset ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[977]) ).
thf(1142,plain,
( ( ( ! [SY102: $i] :
~ ~ ( ~ ( in @ SY102 @ sK115_SX0 )
| ~ ! [SY103: $i] :
( ~ ( in @ SY103 @ sK115_SX0 )
| ( SY102 = SY103 )
| ( in @ SY102 @ SY103 ) ) ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1143,plain,
( ( ( ~ ( in @ sK144_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[979]) ).
thf(1144,plain,
( ( ( ~ ( ( sK144_SX0 != emptyset ) )
| ~ ! [SY156: $i] :
~ ~ ( ~ ( in @ SY156 @ sK144_SX0 )
| ~ ! [SY157: $i] :
( ~ ( in @ SY157 @ sK144_SX0 )
| ( SY156 = SY157 )
| ( in @ SY156 @ SY157 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[979]) ).
thf(1145,plain,
( ( ( ~ ( in @ sK145_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1146,plain,
( ( ( ~ ( ( sK145_SX0 != emptyset ) )
| ~ ! [SY158: $i] :
~ ~ ( ~ ( in @ SY158 @ sK145_SX0 )
| ~ ! [SY159: $i] :
( ~ ( in @ SY159 @ sK145_SX0 )
| ( SY158 = SY159 )
| ( in @ SY158 @ SY159 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[980]) ).
thf(1147,plain,
( ( ( ~ ( in @ sK168_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK168_SX0 != emptyset ) )
| ~ ! [SY196: $i] :
~ ~ ( ~ ( in @ SY196 @ sK168_SX0 )
| ~ ! [SY197: $i] :
( ~ ( in @ SY197 @ sK168_SX0 )
| ( SY196 = SY197 )
| ( in @ SY196 @ SY197 ) ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[981]) ).
thf(1148,plain,
( ( ( ~ ( in @ sK169_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK169_SX0 != emptyset ) )
| ~ ! [SY198: $i] :
~ ~ ( ~ ( in @ SY198 @ sK169_SX0 )
| ~ ! [SY199: $i] :
( ~ ( in @ SY199 @ sK169_SX0 )
| ( SY198 = SY199 )
| ( in @ SY198 @ SY199 ) ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[982]) ).
thf(1149,plain,
( ( ( ~ ( in @ sK170_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK170_SX0 != emptyset ) )
| ~ ! [SY200: $i] :
~ ~ ( ~ ( in @ SY200 @ sK170_SX0 )
| ~ ! [SY201: $i] :
( ~ ( in @ SY201 @ sK170_SX0 )
| ( SY200 = SY201 )
| ( in @ SY200 @ SY201 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[983]) ).
thf(1150,plain,
( ( ( ~ ( in @ sK171_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK171_SX0 != emptyset ) )
| ~ ! [SY202: $i] :
~ ~ ( ~ ( in @ SY202 @ sK171_SX0 )
| ~ ! [SY203: $i] :
( ~ ( in @ SY203 @ sK171_SX0 )
| ( SY202 = SY203 )
| ( in @ SY202 @ SY203 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[984]) ).
thf(1151,plain,
( ( ( ~ ( in @ sK146_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1152,plain,
( ( ( ~ ( ( sK146_SX0 != emptyset ) )
| ~ ! [SY160: $i] :
~ ~ ( ~ ( in @ SY160 @ sK146_SX0 )
| ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ sK146_SX0 )
| ( SY160 = SY161 )
| ( in @ SY160 @ SY161 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1153,plain,
( ( ( ~ ( in @ sK147_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1154,plain,
( ( ( ~ ( ( sK147_SX0 != emptyset ) )
| ~ ! [SY162: $i] :
~ ~ ( ~ ( in @ SY162 @ sK147_SX0 )
| ~ ! [SY163: $i] :
( ~ ( in @ SY163 @ sK147_SX0 )
| ( SY162 = SY163 )
| ( in @ SY162 @ SY163 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1155,plain,
! [SV6: $i] :
( ( ( in @ SV6 @ sK36_SX0 )
= $false )
| ( ( ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ sK36_SX0 )
| ( SV6 = SY68 )
| ( in @ SV6 @ SY68 ) ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1156,plain,
! [SV7: $i] :
( ( ( in @ SV7 @ sK37_SX0 )
= $false )
| ( ( ~ ! [SY69: $i] :
( ~ ( in @ SY69 @ sK37_SX0 )
| ( SV7 = SY69 )
| ( in @ SV7 @ SY69 ) ) )
= $true )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1157,plain,
! [SV10: $i] :
( ( ( ~ ( in @ SV10 @ sK56_SX0 )
| ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ sK56_SX0 )
| ( SV10 = SY120 )
| ( in @ SV10 @ SY120 ) ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[989]) ).
thf(1158,plain,
! [SV11: $i] :
( ( ( ~ ( in @ SV11 @ sK57_SX0 )
| ~ ! [SY121: $i] :
( ~ ( in @ SY121 @ sK57_SX0 )
| ( SV11 = SY121 )
| ( in @ SV11 @ SY121 ) ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1159,plain,
! [SV22: $i] :
( ( ( ~ ( ~ ( in @ SV22 @ sK80_SX0 )
| ~ ! [SY164: $i] :
( ~ ( in @ SY164 @ sK80_SX0 )
| ( SV22 = SY164 )
| ( in @ SV22 @ SY164 ) ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1160,plain,
! [SV23: $i] :
( ( ( ~ ( ~ ( in @ SV23 @ sK81_SX0 )
| ~ ! [SY165: $i] :
( ~ ( in @ SY165 @ sK81_SX0 )
| ( SV23 = SY165 )
| ( in @ SV23 @ SY165 ) ) ) )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1161,plain,
! [SV24: $i] :
( ( ( ~ ( ~ ( in @ SV24 @ sK82_SX0 )
| ~ ! [SY166: $i] :
( ~ ( in @ SY166 @ sK82_SX0 )
| ( SV24 = SY166 )
| ( in @ SV24 @ SY166 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1162,plain,
! [SV25: $i] :
( ( ( ~ ( ~ ( in @ SV25 @ sK83_SX0 )
| ~ ! [SY167: $i] :
( ~ ( in @ SY167 @ sK83_SX0 )
| ( SV25 = SY167 )
| ( in @ SV25 @ SY167 ) ) ) )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1163,plain,
! [SV12: $i] :
( ( ( ~ ( in @ SV12 @ sK58_SX0 )
| ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ sK58_SX0 )
| ( SV12 = SY122 )
| ( in @ SV12 @ SY122 ) ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[999]) ).
thf(1164,plain,
! [SV13: $i] :
( ( ( ~ ( in @ SV13 @ sK59_SX0 )
| ~ ! [SY123: $i] :
( ~ ( in @ SY123 @ sK59_SX0 )
| ( SV13 = SY123 )
| ( in @ SV13 @ SY123 ) ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1000]) ).
thf(1165,plain,
! [SV14: $i] :
( ( ( ~ ( in @ SV14 @ sK60_SX0 )
| ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ sK60_SX0 )
| ( SV14 = SY124 )
| ( in @ SV14 @ SY124 ) ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1166,plain,
! [SV15: $i] :
( ( ( ~ ( in @ SV15 @ sK61_SX0 )
| ~ ! [SY125: $i] :
( ~ ( in @ SY125 @ sK61_SX0 )
| ( SV15 = SY125 )
| ( in @ SV15 @ SY125 ) ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1002]) ).
thf(1167,plain,
( ( ( sK96_SX0 = emptyset )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1168,plain,
! [SV30: $i] :
( ( ( ~ ~ ( ~ ( in @ SV30 @ sK96_SX0 )
| ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ sK96_SX0 )
| ( SV30 = SY204 )
| ( in @ SV30 @ SY204 ) ) ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1169,plain,
( ( ( sK97_SX0 = emptyset )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1170,plain,
! [SV31: $i] :
( ( ( ~ ~ ( ~ ( in @ SV31 @ sK97_SX0 )
| ~ ! [SY205: $i] :
( ~ ( in @ SY205 @ sK97_SX0 )
| ( SV31 = SY205 )
| ( in @ SV31 @ SY205 ) ) ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1171,plain,
( ( ( ( sK116_SX0 != emptyset ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1008]) ).
thf(1172,plain,
( ( ( ! [SY104: $i] :
~ ~ ( ~ ( in @ SY104 @ sK116_SX0 )
| ~ ! [SY105: $i] :
( ~ ( in @ SY105 @ sK116_SX0 )
| ( SY104 = SY105 )
| ( in @ SY104 @ SY105 ) ) ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1173,plain,
( ( ( ( sK117_SX0 != emptyset ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1011]) ).
thf(1174,plain,
( ( ( ! [SY106: $i] :
~ ~ ( ~ ( in @ SY106 @ sK117_SX0 )
| ~ ! [SY107: $i] :
( ~ ( in @ SY107 @ sK117_SX0 )
| ( SY106 = SY107 )
| ( in @ SY106 @ SY107 ) ) ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1012]) ).
thf(1175,plain,
( ( ( ( sK118_SX0 != emptyset ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1176,plain,
( ( ( ! [SY108: $i] :
~ ~ ( ~ ( in @ SY108 @ sK118_SX0 )
| ~ ! [SY109: $i] :
( ~ ( in @ SY109 @ sK118_SX0 )
| ( SY108 = SY109 )
| ( in @ SY108 @ SY109 ) ) ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1015]) ).
thf(1177,plain,
( ( ( ( sK119_SX0 != emptyset ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1017]) ).
thf(1178,plain,
( ( ( ! [SY110: $i] :
~ ~ ( ~ ( in @ SY110 @ sK119_SX0 )
| ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ sK119_SX0 )
| ( SY110 = SY111 )
| ( in @ SY110 @ SY111 ) ) ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1179,plain,
( ( ( sK98_SX0 = emptyset )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1180,plain,
! [SV32: $i] :
( ( ( ~ ~ ( ~ ( in @ SV32 @ sK98_SX0 )
| ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ sK98_SX0 )
| ( SV32 = SY206 )
| ( in @ SV32 @ SY206 ) ) ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1181,plain,
( ( ( sK99_SX0 = emptyset )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1182,plain,
! [SV33: $i] :
( ( ( ~ ~ ( ~ ( in @ SV33 @ sK99_SX0 )
| ~ ! [SY207: $i] :
( ~ ( in @ SY207 @ sK99_SX0 )
| ( SV33 = SY207 )
| ( in @ SV33 @ SY207 ) ) ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1022]) ).
thf(1183,plain,
( ( ( sK100_SX0 = emptyset )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1184,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ( in @ SV34 @ sK100_SX0 )
| ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ sK100_SX0 )
| ( SV34 = SY208 )
| ( in @ SV34 @ SY208 ) ) ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1185,plain,
( ( ( sK101_SX0 = emptyset )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1186,plain,
! [SV35: $i] :
( ( ( ~ ~ ( ~ ( in @ SV35 @ sK101_SX0 )
| ~ ! [SY209: $i] :
( ~ ( in @ SY209 @ sK101_SX0 )
| ( SV35 = SY209 )
| ( in @ SV35 @ SY209 ) ) ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1026]) ).
thf(1187,plain,
( ( ( in @ sK124_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1188,plain,
( ( ( ~ ( ( sK124_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1028]) ).
thf(1189,plain,
( ( ( ~ ! [SY126: $i] :
~ ~ ( ~ ( in @ SY126 @ sK124_SX0 )
| ~ ! [SY127: $i] :
( ~ ( in @ SY127 @ sK124_SX0 )
| ( SY126 = SY127 )
| ( in @ SY126 @ SY127 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1028]) ).
thf(1190,plain,
( ( ( in @ sK125_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1029]) ).
thf(1191,plain,
( ( ( ~ ( ( sK125_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1030]) ).
thf(1192,plain,
( ( ( ~ ! [SY128: $i] :
~ ~ ( ~ ( in @ SY128 @ sK125_SX0 )
| ~ ! [SY129: $i] :
( ~ ( in @ SY129 @ sK125_SX0 )
| ( SY128 = SY129 )
| ( in @ SY128 @ SY129 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1030]) ).
thf(1193,plain,
( ( ( ~ ( in @ sK148_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1194,plain,
( ( ( ~ ( ( sK148_SX0 != emptyset ) )
| ~ ! [SY168: $i] :
~ ~ ( ~ ( in @ SY168 @ sK148_SX0 )
| ~ ! [SY169: $i] :
( ~ ( in @ SY169 @ sK148_SX0 )
| ( SY168 = SY169 )
| ( in @ SY168 @ SY169 ) ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1195,plain,
( ( ( ~ ( in @ sK149_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1032]) ).
thf(1196,plain,
( ( ( ~ ( ( sK149_SX0 != emptyset ) )
| ~ ! [SY170: $i] :
~ ~ ( ~ ( in @ SY170 @ sK149_SX0 )
| ~ ! [SY171: $i] :
( ~ ( in @ SY171 @ sK149_SX0 )
| ( SY170 = SY171 )
| ( in @ SY170 @ SY171 ) ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1032]) ).
thf(1197,plain,
( ( ( ~ ( in @ sK150_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1033]) ).
thf(1198,plain,
( ( ( ~ ( ( sK150_SX0 != emptyset ) )
| ~ ! [SY172: $i] :
~ ~ ( ~ ( in @ SY172 @ sK150_SX0 )
| ~ ! [SY173: $i] :
( ~ ( in @ SY173 @ sK150_SX0 )
| ( SY172 = SY173 )
| ( in @ SY172 @ SY173 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1033]) ).
thf(1199,plain,
( ( ( ~ ( in @ sK151_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1034]) ).
thf(1200,plain,
( ( ( ~ ( ( sK151_SX0 != emptyset ) )
| ~ ! [SY174: $i] :
~ ~ ( ~ ( in @ SY174 @ sK151_SX0 )
| ~ ! [SY175: $i] :
( ~ ( in @ SY175 @ sK151_SX0 )
| ( SY174 = SY175 )
| ( in @ SY174 @ SY175 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1034]) ).
thf(1201,plain,
( ( ( in @ sK126_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1202,plain,
( ( ( ~ ( ( sK126_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1036]) ).
thf(1203,plain,
( ( ( ~ ! [SY130: $i] :
~ ~ ( ~ ( in @ SY130 @ sK126_SX0 )
| ~ ! [SY131: $i] :
( ~ ( in @ SY131 @ sK126_SX0 )
| ( SY130 = SY131 )
| ( in @ SY130 @ SY131 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1036]) ).
thf(1204,plain,
( ( ( in @ sK127_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1037]) ).
thf(1205,plain,
( ( ( ~ ( ( sK127_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1038]) ).
thf(1206,plain,
( ( ( ~ ! [SY132: $i] :
~ ~ ( ~ ( in @ SY132 @ sK127_SX0 )
| ~ ! [SY133: $i] :
( ~ ( in @ SY133 @ sK127_SX0 )
| ( SY132 = SY133 )
| ( in @ SY132 @ SY133 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1038]) ).
thf(1207,plain,
( ( ( ~ ( in @ sK172_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK172_SX0 != emptyset ) )
| ~ ! [SY210: $i] :
~ ~ ( ~ ( in @ SY210 @ sK172_SX0 )
| ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ sK172_SX0 )
| ( SY210 = SY211 )
| ( in @ SY210 @ SY211 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1039]) ).
thf(1208,plain,
( ( ( ~ ( in @ sK173_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK173_SX0 != emptyset ) )
| ~ ! [SY212: $i] :
~ ~ ( ~ ( in @ SY212 @ sK173_SX0 )
| ~ ! [SY213: $i] :
( ~ ( in @ SY213 @ sK173_SX0 )
| ( SY212 = SY213 )
| ( in @ SY212 @ SY213 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1040]) ).
thf(1209,plain,
( ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1041]) ).
thf(1210,plain,
( ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1042]) ).
thf(1211,plain,
( ( ( ~ ( in @ sK152_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1043]) ).
thf(1212,plain,
( ( ( ~ ( in @ sK152_SX0 @ sK152_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1043]) ).
thf(1213,plain,
( ( ( ~ ( in @ sK153_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1214,plain,
( ( ( ~ ( in @ sK153_SX0 @ sK153_SX0 ) )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1215,plain,
( ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1045]) ).
thf(1216,plain,
( ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1217,plain,
( ( ( ~ ( in @ sK174_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK174_SX0 != emptyset ) )
| ~ ! [SY214: $i] :
~ ~ ( ~ ( in @ SY214 @ sK174_SX0 )
| ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ sK174_SX0 )
| ( SY214 = SY215 )
| ( in @ SY214 @ SY215 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1047]) ).
thf(1218,plain,
( ( ( ~ ( in @ sK175_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK175_SX0 != emptyset ) )
| ~ ! [SY216: $i] :
~ ~ ( ~ ( in @ SY216 @ sK175_SX0 )
| ~ ! [SY217: $i] :
( ~ ( in @ SY217 @ sK175_SX0 )
| ( SY216 = SY217 )
| ( in @ SY216 @ SY217 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1048]) ).
thf(1219,plain,
( ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1220,plain,
( ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1050]) ).
thf(1221,plain,
( ( ( ~ ( in @ sK154_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1222,plain,
( ( ( ~ ( in @ sK154_SX0 @ sK154_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1223,plain,
( ( ( ~ ( in @ sK155_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1052]) ).
thf(1224,plain,
( ( ( ~ ( in @ sK155_SX0 @ sK155_SX0 ) )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1052]) ).
thf(1225,plain,
( ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1053]) ).
thf(1226,plain,
( ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1054]) ).
thf(1227,plain,
( ( ( sK104_SX0 = emptyset )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1228,plain,
! [SV36: $i] :
( ( ( ~ ~ ( ~ ( in @ SV36 @ sK104_SX0 )
| ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ sK104_SX0 )
| ( SV36 = SY218 )
| ( in @ SV36 @ SY218 ) ) ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1056]) ).
thf(1229,plain,
( ( ( sK105_SX0 = emptyset )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1230,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ( in @ SV37 @ sK105_SX0 )
| ~ ! [SY219: $i] :
( ~ ( in @ SY219 @ sK105_SX0 )
| ( SV37 = SY219 )
| ( in @ SV37 @ SY219 ) ) ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1058]) ).
thf(1231,plain,
( ( ( in @ sK132_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1232,plain,
( ( ( ~ ( ( sK132_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1233,plain,
( ( ( ~ ! [SY134: $i] :
~ ~ ( ~ ( in @ SY134 @ sK132_SX0 )
| ~ ! [SY135: $i] :
( ~ ( in @ SY135 @ sK132_SX0 )
| ( SY134 = SY135 )
| ( in @ SY134 @ SY135 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1060]) ).
thf(1234,plain,
( ( ( in @ sK133_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1061]) ).
thf(1235,plain,
( ( ( ~ ( ( sK133_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1062]) ).
thf(1236,plain,
( ( ( ~ ! [SY136: $i] :
~ ~ ( ~ ( in @ SY136 @ sK133_SX0 )
| ~ ! [SY137: $i] :
( ~ ( in @ SY137 @ sK133_SX0 )
| ( SY136 = SY137 )
| ( in @ SY136 @ SY137 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1062]) ).
thf(1237,plain,
( ( ( ~ ( in @ sK156_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1238,plain,
( ( ( ~ ( ( sK156_SX0 != emptyset ) )
| ~ ! [SY176: $i] :
~ ~ ( ~ ( in @ SY176 @ sK156_SX0 )
| ~ ! [SY177: $i] :
( ~ ( in @ SY177 @ sK156_SX0 )
| ( SY176 = SY177 )
| ( in @ SY176 @ SY177 ) ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1239,plain,
( ( ( ~ ( in @ sK157_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1240,plain,
( ( ( ~ ( ( sK157_SX0 != emptyset ) )
| ~ ! [SY178: $i] :
~ ~ ( ~ ( in @ SY178 @ sK157_SX0 )
| ~ ! [SY179: $i] :
( ~ ( in @ SY179 @ sK157_SX0 )
| ( SY178 = SY179 )
| ( in @ SY178 @ SY179 ) ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1241,plain,
( ( ( ~ ( in @ sK158_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1242,plain,
( ( ( ~ ( ( sK158_SX0 != emptyset ) )
| ~ ! [SY180: $i] :
~ ~ ( ~ ( in @ SY180 @ sK158_SX0 )
| ~ ! [SY181: $i] :
( ~ ( in @ SY181 @ sK158_SX0 )
| ( SY180 = SY181 )
| ( in @ SY180 @ SY181 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1243,plain,
( ( ( ~ ( in @ sK159_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1244,plain,
( ( ( ~ ( ( sK159_SX0 != emptyset ) )
| ~ ! [SY182: $i] :
~ ~ ( ~ ( in @ SY182 @ sK159_SX0 )
| ~ ! [SY183: $i] :
( ~ ( in @ SY183 @ sK159_SX0 )
| ( SY182 = SY183 )
| ( in @ SY182 @ SY183 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1245,plain,
( ( ( in @ sK134_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1246,plain,
( ( ( ~ ( ( sK134_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1068]) ).
thf(1247,plain,
( ( ( ~ ! [SY138: $i] :
~ ~ ( ~ ( in @ SY138 @ sK134_SX0 )
| ~ ! [SY139: $i] :
( ~ ( in @ SY139 @ sK134_SX0 )
| ( SY138 = SY139 )
| ( in @ SY138 @ SY139 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1068]) ).
thf(1248,plain,
( ( ( in @ sK135_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1249,plain,
( ( ( ~ ( ( sK135_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1250,plain,
( ( ( ~ ! [SY140: $i] :
~ ~ ( ~ ( in @ SY140 @ sK135_SX0 )
| ~ ! [SY141: $i] :
( ~ ( in @ SY141 @ sK135_SX0 )
| ( SY140 = SY141 )
| ( in @ SY140 @ SY141 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1251,plain,
! [SV8: $i] :
( ( ( in @ SV8 @ sK44_SX0 )
= $false )
| ( ( ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ sK44_SX0 )
| ( SV8 = SY86 )
| ( in @ SV8 @ SY86 ) ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1252,plain,
! [SV9: $i] :
( ( ( in @ SV9 @ sK45_SX0 )
= $false )
| ( ( ~ ! [SY87: $i] :
( ~ ( in @ SY87 @ sK45_SX0 )
| ( SV9 = SY87 )
| ( in @ SV9 @ SY87 ) ) )
= $true )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1253,plain,
! [SV16: $i] :
( ( ( ~ ( in @ SV16 @ sK68_SX0 )
| ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ sK68_SX0 )
| ( SV16 = SY142 )
| ( in @ SV16 @ SY142 ) ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1073]) ).
thf(1254,plain,
! [SV17: $i] :
( ( ( ~ ( in @ SV17 @ sK69_SX0 )
| ~ ! [SY143: $i] :
( ~ ( in @ SY143 @ sK69_SX0 )
| ( SV17 = SY143 )
| ( in @ SV17 @ SY143 ) ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1255,plain,
! [SV26: $i] :
( ( ( ~ ( ~ ( in @ SV26 @ sK88_SX0 )
| ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ sK88_SX0 )
| ( SV26 = SY184 )
| ( in @ SV26 @ SY184 ) ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1256,plain,
! [SV27: $i] :
( ( ( ~ ( ~ ( in @ SV27 @ sK89_SX0 )
| ~ ! [SY185: $i] :
( ~ ( in @ SY185 @ sK89_SX0 )
| ( SV27 = SY185 )
| ( in @ SV27 @ SY185 ) ) ) )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1257,plain,
! [SV28: $i] :
( ( ( ~ ( ~ ( in @ SV28 @ sK90_SX0 )
| ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ sK90_SX0 )
| ( SV28 = SY186 )
| ( in @ SV28 @ SY186 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1258,plain,
! [SV29: $i] :
( ( ( ~ ( ~ ( in @ SV29 @ sK91_SX0 )
| ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ sK91_SX0 )
| ( SV29 = SY187 )
| ( in @ SV29 @ SY187 ) ) ) )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1259,plain,
! [SV18: $i] :
( ( ( ~ ( in @ SV18 @ sK70_SX0 )
| ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ sK70_SX0 )
| ( SV18 = SY144 )
| ( in @ SV18 @ SY144 ) ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1083]) ).
thf(1260,plain,
! [SV19: $i] :
( ( ( ~ ( in @ SV19 @ sK71_SX0 )
| ~ ! [SY145: $i] :
( ~ ( in @ SY145 @ sK71_SX0 )
| ( SV19 = SY145 )
| ( in @ SV19 @ SY145 ) ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1084]) ).
thf(1261,plain,
! [SV20: $i] :
( ( ( ~ ( in @ SV20 @ sK72_SX0 )
| ~ ! [SY146: $i] :
( ~ ( in @ SY146 @ sK72_SX0 )
| ( SV20 = SY146 )
| ( in @ SV20 @ SY146 ) ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1085]) ).
thf(1262,plain,
! [SV21: $i] :
( ( ( ~ ( in @ SV21 @ sK73_SX0 )
| ~ ! [SY147: $i] :
( ~ ( in @ SY147 @ sK73_SX0 )
| ( SV21 = SY147 )
| ( in @ SV21 @ SY147 ) ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1086]) ).
thf(1263,plain,
( ( ( sK106_SX0 = emptyset )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1264,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ ( in @ SV38 @ sK106_SX0 )
| ~ ! [SY220: $i] :
( ~ ( in @ SY220 @ sK106_SX0 )
| ( SV38 = SY220 )
| ( in @ SV38 @ SY220 ) ) ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1088]) ).
thf(1265,plain,
( ( ( sK107_SX0 = emptyset )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1266,plain,
! [SV39: $i] :
( ( ( ~ ~ ( ~ ( in @ SV39 @ sK107_SX0 )
| ~ ! [SY221: $i] :
( ~ ( in @ SY221 @ sK107_SX0 )
| ( SV39 = SY221 )
| ( in @ SV39 @ SY221 ) ) ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1090]) ).
thf(1267,plain,
( ( ( ( sK120_SX0 != emptyset ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1268,plain,
( ( ( ! [SY112: $i] :
~ ~ ( ~ ( in @ SY112 @ sK120_SX0 )
| ~ ! [SY113: $i] :
( ~ ( in @ SY113 @ sK120_SX0 )
| ( SY112 = SY113 )
| ( in @ SY112 @ SY113 ) ) ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1269,plain,
( ( ( ( sK121_SX0 != emptyset ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1095]) ).
thf(1270,plain,
( ( ( ! [SY114: $i] :
~ ~ ( ~ ( in @ SY114 @ sK121_SX0 )
| ~ ! [SY115: $i] :
( ~ ( in @ SY115 @ sK121_SX0 )
| ( SY114 = SY115 )
| ( in @ SY114 @ SY115 ) ) ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1096]) ).
thf(1271,plain,
( ( ( ( sK122_SX0 != emptyset ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1098]) ).
thf(1272,plain,
( ( ( ! [SY116: $i] :
~ ~ ( ~ ( in @ SY116 @ sK122_SX0 )
| ~ ! [SY117: $i] :
( ~ ( in @ SY117 @ sK122_SX0 )
| ( SY116 = SY117 )
| ( in @ SY116 @ SY117 ) ) ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1099]) ).
thf(1273,plain,
( ( ( ( sK123_SX0 != emptyset ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1101]) ).
thf(1274,plain,
( ( ( ! [SY118: $i] :
~ ~ ( ~ ( in @ SY118 @ sK123_SX0 )
| ~ ! [SY119: $i] :
( ~ ( in @ SY119 @ sK123_SX0 )
| ( SY118 = SY119 )
| ( in @ SY118 @ SY119 ) ) ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1102]) ).
thf(1275,plain,
( ( ( sK108_SX0 = emptyset )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1276,plain,
! [SV40: $i] :
( ( ( ~ ~ ( ~ ( in @ SV40 @ sK108_SX0 )
| ~ ! [SY222: $i] :
( ~ ( in @ SY222 @ sK108_SX0 )
| ( SV40 = SY222 )
| ( in @ SV40 @ SY222 ) ) ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1104]) ).
thf(1277,plain,
( ( ( sK109_SX0 = emptyset )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1278,plain,
! [SV41: $i] :
( ( ( ~ ~ ( ~ ( in @ SV41 @ sK109_SX0 )
| ~ ! [SY223: $i] :
( ~ ( in @ SY223 @ sK109_SX0 )
| ( SV41 = SY223 )
| ( in @ SV41 @ SY223 ) ) ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1279,plain,
( ( ( sK110_SX0 = emptyset )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1280,plain,
! [SV42: $i] :
( ( ( ~ ~ ( ~ ( in @ SV42 @ sK110_SX0 )
| ~ ! [SY224: $i] :
( ~ ( in @ SY224 @ sK110_SX0 )
| ( SV42 = SY224 )
| ( in @ SV42 @ SY224 ) ) ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1281,plain,
( ( ( sK111_SX0 = emptyset )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1282,plain,
! [SV43: $i] :
( ( ( ~ ~ ( ~ ( in @ SV43 @ sK111_SX0 )
| ~ ! [SY225: $i] :
( ~ ( in @ SY225 @ sK111_SX0 )
| ( SV43 = SY225 )
| ( in @ SV43 @ SY225 ) ) ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1110]) ).
thf(1283,plain,
( ( ( in @ sK136_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1111]) ).
thf(1284,plain,
( ( ( ~ ( ( sK136_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1112]) ).
thf(1285,plain,
( ( ( ~ ! [SY148: $i] :
~ ~ ( ~ ( in @ SY148 @ sK136_SX0 )
| ~ ! [SY149: $i] :
( ~ ( in @ SY149 @ sK136_SX0 )
| ( SY148 = SY149 )
| ( in @ SY148 @ SY149 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1112]) ).
thf(1286,plain,
( ( ( in @ sK137_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1113]) ).
thf(1287,plain,
( ( ( ~ ( ( sK137_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1288,plain,
( ( ( ~ ! [SY150: $i] :
~ ~ ( ~ ( in @ SY150 @ sK137_SX0 )
| ~ ! [SY151: $i] :
( ~ ( in @ SY151 @ sK137_SX0 )
| ( SY150 = SY151 )
| ( in @ SY150 @ SY151 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1289,plain,
( ( ( ~ ( in @ sK160_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1290,plain,
( ( ( ~ ( ( sK160_SX0 != emptyset ) )
| ~ ! [SY188: $i] :
~ ~ ( ~ ( in @ SY188 @ sK160_SX0 )
| ~ ! [SY189: $i] :
( ~ ( in @ SY189 @ sK160_SX0 )
| ( SY188 = SY189 )
| ( in @ SY188 @ SY189 ) ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1291,plain,
( ( ( ~ ( in @ sK161_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1116]) ).
thf(1292,plain,
( ( ( ~ ( ( sK161_SX0 != emptyset ) )
| ~ ! [SY190: $i] :
~ ~ ( ~ ( in @ SY190 @ sK161_SX0 )
| ~ ! [SY191: $i] :
( ~ ( in @ SY191 @ sK161_SX0 )
| ( SY190 = SY191 )
| ( in @ SY190 @ SY191 ) ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1116]) ).
thf(1293,plain,
( ( ( ~ ( in @ sK162_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1294,plain,
( ( ( ~ ( ( sK162_SX0 != emptyset ) )
| ~ ! [SY192: $i] :
~ ~ ( ~ ( in @ SY192 @ sK162_SX0 )
| ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ sK162_SX0 )
| ( SY192 = SY193 )
| ( in @ SY192 @ SY193 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1295,plain,
( ( ( ~ ( in @ sK163_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1296,plain,
( ( ( ~ ( ( sK163_SX0 != emptyset ) )
| ~ ! [SY194: $i] :
~ ~ ( ~ ( in @ SY194 @ sK163_SX0 )
| ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ sK163_SX0 )
| ( SY194 = SY195 )
| ( in @ SY194 @ SY195 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1297,plain,
( ( ( in @ sK138_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1298,plain,
( ( ( ~ ( ( sK138_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1299,plain,
( ( ( ~ ! [SY152: $i] :
~ ~ ( ~ ( in @ SY152 @ sK138_SX0 )
| ~ ! [SY153: $i] :
( ~ ( in @ SY153 @ sK138_SX0 )
| ( SY152 = SY153 )
| ( in @ SY152 @ SY153 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1300,plain,
( ( ( in @ sK139_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1121]) ).
thf(1301,plain,
( ( ( ~ ( ( sK139_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1302,plain,
( ( ( ~ ! [SY154: $i] :
~ ~ ( ~ ( in @ SY154 @ sK139_SX0 )
| ~ ! [SY155: $i] :
( ~ ( in @ SY155 @ sK139_SX0 )
| ( SY154 = SY155 )
| ( in @ SY154 @ SY155 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1303,plain,
( ( ( ~ ( in @ sK176_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK176_SX0 != emptyset ) )
| ~ ! [SY226: $i] :
~ ~ ( ~ ( in @ SY226 @ sK176_SX0 )
| ~ ! [SY227: $i] :
( ~ ( in @ SY227 @ sK176_SX0 )
| ( SY226 = SY227 )
| ( in @ SY226 @ SY227 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1123]) ).
thf(1304,plain,
( ( ( ~ ( in @ sK177_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK177_SX0 != emptyset ) )
| ~ ! [SY228: $i] :
~ ~ ( ~ ( in @ SY228 @ sK177_SX0 )
| ~ ! [SY229: $i] :
( ~ ( in @ SY229 @ sK177_SX0 )
| ( SY228 = SY229 )
| ( in @ SY228 @ SY229 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1124]) ).
thf(1305,plain,
( ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1125]) ).
thf(1306,plain,
( ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1126]) ).
thf(1307,plain,
( ( ( ~ ( in @ sK164_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1127]) ).
thf(1308,plain,
( ( ( ~ ( in @ sK164_SX0 @ sK164_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1127]) ).
thf(1309,plain,
( ( ( ~ ( in @ sK165_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1128]) ).
thf(1310,plain,
( ( ( ~ ( in @ sK165_SX0 @ sK165_SX0 ) )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1128]) ).
thf(1311,plain,
( ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1129]) ).
thf(1312,plain,
( ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1130]) ).
thf(1313,plain,
( ( ( ~ ( in @ sK178_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK178_SX0 != emptyset ) )
| ~ ! [SY230: $i] :
~ ~ ( ~ ( in @ SY230 @ sK178_SX0 )
| ~ ! [SY231: $i] :
( ~ ( in @ SY231 @ sK178_SX0 )
| ( SY230 = SY231 )
| ( in @ SY230 @ SY231 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1131]) ).
thf(1314,plain,
( ( ( ~ ( in @ sK179_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK179_SX0 != emptyset ) )
| ~ ! [SY232: $i] :
~ ~ ( ~ ( in @ SY232 @ sK179_SX0 )
| ~ ! [SY233: $i] :
( ~ ( in @ SY233 @ sK179_SX0 )
| ( SY232 = SY233 )
| ( in @ SY232 @ SY233 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1132]) ).
thf(1315,plain,
( ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1316,plain,
( ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1134]) ).
thf(1317,plain,
( ( ( ~ ( in @ sK166_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1135]) ).
thf(1318,plain,
( ( ( ~ ( in @ sK166_SX0 @ sK166_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1135]) ).
thf(1319,plain,
( ( ( ~ ( in @ sK167_SX0 @ emptyset ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1136]) ).
thf(1320,plain,
( ( ( ~ ( in @ sK167_SX0 @ sK167_SX0 ) )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1136]) ).
thf(1321,plain,
( ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1137]) ).
thf(1322,plain,
( ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1323,plain,
( ( ( sK114_SX0 = emptyset )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1324,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ( in @ SV44 @ sK114_SX0 )
| ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ sK114_SX0 )
| ( SV44 = SY234 )
| ( in @ SV44 @ SY234 ) ) ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1325,plain,
( ( ( sK115_SX0 = emptyset )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1326,plain,
! [SV45: $i] :
( ( ( ~ ~ ( ~ ( in @ SV45 @ sK115_SX0 )
| ~ ! [SY235: $i] :
( ~ ( in @ SY235 @ sK115_SX0 )
| ( SV45 = SY235 )
| ( in @ SV45 @ SY235 ) ) ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1327,plain,
( ( ( in @ sK144_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1143]) ).
thf(1328,plain,
( ( ( ~ ( ( sK144_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1329,plain,
( ( ( ~ ! [SY156: $i] :
~ ~ ( ~ ( in @ SY156 @ sK144_SX0 )
| ~ ! [SY157: $i] :
( ~ ( in @ SY157 @ sK144_SX0 )
| ( SY156 = SY157 )
| ( in @ SY156 @ SY157 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1330,plain,
( ( ( in @ sK145_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1331,plain,
( ( ( ~ ( ( sK145_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1332,plain,
( ( ( ~ ! [SY158: $i] :
~ ~ ( ~ ( in @ SY158 @ sK145_SX0 )
| ~ ! [SY159: $i] :
( ~ ( in @ SY159 @ sK145_SX0 )
| ( SY158 = SY159 )
| ( in @ SY158 @ SY159 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1333,plain,
( ( ( ~ ( in @ sK168_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1334,plain,
( ( ( ~ ( ( sK168_SX0 != emptyset ) )
| ~ ! [SY196: $i] :
~ ~ ( ~ ( in @ SY196 @ sK168_SX0 )
| ~ ! [SY197: $i] :
( ~ ( in @ SY197 @ sK168_SX0 )
| ( SY196 = SY197 )
| ( in @ SY196 @ SY197 ) ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1335,plain,
( ( ( ~ ( in @ sK169_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1336,plain,
( ( ( ~ ( ( sK169_SX0 != emptyset ) )
| ~ ! [SY198: $i] :
~ ~ ( ~ ( in @ SY198 @ sK169_SX0 )
| ~ ! [SY199: $i] :
( ~ ( in @ SY199 @ sK169_SX0 )
| ( SY198 = SY199 )
| ( in @ SY198 @ SY199 ) ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1337,plain,
( ( ( ~ ( in @ sK170_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1149]) ).
thf(1338,plain,
( ( ( ~ ( ( sK170_SX0 != emptyset ) )
| ~ ! [SY200: $i] :
~ ~ ( ~ ( in @ SY200 @ sK170_SX0 )
| ~ ! [SY201: $i] :
( ~ ( in @ SY201 @ sK170_SX0 )
| ( SY200 = SY201 )
| ( in @ SY200 @ SY201 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1149]) ).
thf(1339,plain,
( ( ( ~ ( in @ sK171_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1150]) ).
thf(1340,plain,
( ( ( ~ ( ( sK171_SX0 != emptyset ) )
| ~ ! [SY202: $i] :
~ ~ ( ~ ( in @ SY202 @ sK171_SX0 )
| ~ ! [SY203: $i] :
( ~ ( in @ SY203 @ sK171_SX0 )
| ( SY202 = SY203 )
| ( in @ SY202 @ SY203 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1150]) ).
thf(1341,plain,
( ( ( in @ sK146_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1151]) ).
thf(1342,plain,
( ( ( ~ ( ( sK146_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1152]) ).
thf(1343,plain,
( ( ( ~ ! [SY160: $i] :
~ ~ ( ~ ( in @ SY160 @ sK146_SX0 )
| ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ sK146_SX0 )
| ( SY160 = SY161 )
| ( in @ SY160 @ SY161 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1152]) ).
thf(1344,plain,
( ( ( in @ sK147_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1153]) ).
thf(1345,plain,
( ( ( ~ ( ( sK147_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1346,plain,
( ( ( ~ ! [SY162: $i] :
~ ~ ( ~ ( in @ SY162 @ sK147_SX0 )
| ~ ! [SY163: $i] :
( ~ ( in @ SY163 @ sK147_SX0 )
| ( SY162 = SY163 )
| ( in @ SY162 @ SY163 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1347,plain,
! [SV6: $i] :
( ( ( ! [SY68: $i] :
( ~ ( in @ SY68 @ sK36_SX0 )
| ( SV6 = SY68 )
| ( in @ SV6 @ SY68 ) ) )
= $false )
| ( ( in @ SV6 @ sK36_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1348,plain,
! [SV7: $i] :
( ( ( ! [SY69: $i] :
( ~ ( in @ SY69 @ sK37_SX0 )
| ( SV7 = SY69 )
| ( in @ SV7 @ SY69 ) ) )
= $false )
| ( ( in @ SV7 @ sK37_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1156]) ).
thf(1349,plain,
! [SV10: $i] :
( ( ( ~ ( in @ SV10 @ sK56_SX0 ) )
= $true )
| ( ( ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ sK56_SX0 )
| ( SV10 = SY120 )
| ( in @ SV10 @ SY120 ) ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1350,plain,
! [SV11: $i] :
( ( ( ~ ( in @ SV11 @ sK57_SX0 ) )
= $true )
| ( ( ~ ! [SY121: $i] :
( ~ ( in @ SY121 @ sK57_SX0 )
| ( SV11 = SY121 )
| ( in @ SV11 @ SY121 ) ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1351,plain,
! [SV22: $i] :
( ( ( ~ ( in @ SV22 @ sK80_SX0 )
| ~ ! [SY164: $i] :
( ~ ( in @ SY164 @ sK80_SX0 )
| ( SV22 = SY164 )
| ( in @ SV22 @ SY164 ) ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1159]) ).
thf(1352,plain,
! [SV23: $i] :
( ( ( ~ ( in @ SV23 @ sK81_SX0 )
| ~ ! [SY165: $i] :
( ~ ( in @ SY165 @ sK81_SX0 )
| ( SV23 = SY165 )
| ( in @ SV23 @ SY165 ) ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1353,plain,
! [SV24: $i] :
( ( ( ~ ( in @ SV24 @ sK82_SX0 )
| ~ ! [SY166: $i] :
( ~ ( in @ SY166 @ sK82_SX0 )
| ( SV24 = SY166 )
| ( in @ SV24 @ SY166 ) ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1161]) ).
thf(1354,plain,
! [SV25: $i] :
( ( ( ~ ( in @ SV25 @ sK83_SX0 )
| ~ ! [SY167: $i] :
( ~ ( in @ SY167 @ sK83_SX0 )
| ( SV25 = SY167 )
| ( in @ SV25 @ SY167 ) ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1162]) ).
thf(1355,plain,
! [SV12: $i] :
( ( ( ~ ( in @ SV12 @ sK58_SX0 ) )
= $true )
| ( ( ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ sK58_SX0 )
| ( SV12 = SY122 )
| ( in @ SV12 @ SY122 ) ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1163]) ).
thf(1356,plain,
! [SV13: $i] :
( ( ( ~ ( in @ SV13 @ sK59_SX0 ) )
= $true )
| ( ( ~ ! [SY123: $i] :
( ~ ( in @ SY123 @ sK59_SX0 )
| ( SV13 = SY123 )
| ( in @ SV13 @ SY123 ) ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1164]) ).
thf(1357,plain,
! [SV14: $i] :
( ( ( ~ ( in @ SV14 @ sK60_SX0 ) )
= $true )
| ( ( ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ sK60_SX0 )
| ( SV14 = SY124 )
| ( in @ SV14 @ SY124 ) ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1165]) ).
thf(1358,plain,
! [SV15: $i] :
( ( ( ~ ( in @ SV15 @ sK61_SX0 ) )
= $true )
| ( ( ~ ! [SY125: $i] :
( ~ ( in @ SY125 @ sK61_SX0 )
| ( SV15 = SY125 )
| ( in @ SV15 @ SY125 ) ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1166]) ).
thf(1359,plain,
! [SV30: $i] :
( ( ( ~ ( ~ ( in @ SV30 @ sK96_SX0 )
| ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ sK96_SX0 )
| ( SV30 = SY204 )
| ( in @ SV30 @ SY204 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1360,plain,
! [SV31: $i] :
( ( ( ~ ( ~ ( in @ SV31 @ sK97_SX0 )
| ~ ! [SY205: $i] :
( ~ ( in @ SY205 @ sK97_SX0 )
| ( SV31 = SY205 )
| ( in @ SV31 @ SY205 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1361,plain,
( ( ( sK116_SX0 = emptyset )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1362,plain,
! [SV46: $i] :
( ( ( ~ ~ ( ~ ( in @ SV46 @ sK116_SX0 )
| ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ sK116_SX0 )
| ( SV46 = SY236 )
| ( in @ SV46 @ SY236 ) ) ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1172]) ).
thf(1363,plain,
( ( ( sK117_SX0 = emptyset )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1364,plain,
! [SV47: $i] :
( ( ( ~ ~ ( ~ ( in @ SV47 @ sK117_SX0 )
| ~ ! [SY237: $i] :
( ~ ( in @ SY237 @ sK117_SX0 )
| ( SV47 = SY237 )
| ( in @ SV47 @ SY237 ) ) ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1174]) ).
thf(1365,plain,
( ( ( sK118_SX0 = emptyset )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1366,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ( in @ SV48 @ sK118_SX0 )
| ~ ! [SY238: $i] :
( ~ ( in @ SY238 @ sK118_SX0 )
| ( SV48 = SY238 )
| ( in @ SV48 @ SY238 ) ) ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1367,plain,
( ( ( sK119_SX0 = emptyset )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1177]) ).
thf(1368,plain,
! [SV49: $i] :
( ( ( ~ ~ ( ~ ( in @ SV49 @ sK119_SX0 )
| ~ ! [SY239: $i] :
( ~ ( in @ SY239 @ sK119_SX0 )
| ( SV49 = SY239 )
| ( in @ SV49 @ SY239 ) ) ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1369,plain,
! [SV32: $i] :
( ( ( ~ ( ~ ( in @ SV32 @ sK98_SX0 )
| ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ sK98_SX0 )
| ( SV32 = SY206 )
| ( in @ SV32 @ SY206 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1370,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ( in @ SV33 @ sK99_SX0 )
| ~ ! [SY207: $i] :
( ~ ( in @ SY207 @ sK99_SX0 )
| ( SV33 = SY207 )
| ( in @ SV33 @ SY207 ) ) ) )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1371,plain,
! [SV34: $i] :
( ( ( ~ ( ~ ( in @ SV34 @ sK100_SX0 )
| ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ sK100_SX0 )
| ( SV34 = SY208 )
| ( in @ SV34 @ SY208 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1372,plain,
! [SV35: $i] :
( ( ( ~ ( ~ ( in @ SV35 @ sK101_SX0 )
| ~ ! [SY209: $i] :
( ~ ( in @ SY209 @ sK101_SX0 )
| ( SV35 = SY209 )
| ( in @ SV35 @ SY209 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1373,plain,
( ( ( ( sK124_SX0 != emptyset ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1188]) ).
thf(1374,plain,
( ( ( ! [SY126: $i] :
~ ~ ( ~ ( in @ SY126 @ sK124_SX0 )
| ~ ! [SY127: $i] :
( ~ ( in @ SY127 @ sK124_SX0 )
| ( SY126 = SY127 )
| ( in @ SY126 @ SY127 ) ) ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1189]) ).
thf(1375,plain,
( ( ( ( sK125_SX0 != emptyset ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1191]) ).
thf(1376,plain,
( ( ( ! [SY128: $i] :
~ ~ ( ~ ( in @ SY128 @ sK125_SX0 )
| ~ ! [SY129: $i] :
( ~ ( in @ SY129 @ sK125_SX0 )
| ( SY128 = SY129 )
| ( in @ SY128 @ SY129 ) ) ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1192]) ).
thf(1377,plain,
( ( ( in @ sK148_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1378,plain,
( ( ( ~ ( ( sK148_SX0 != emptyset ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1194]) ).
thf(1379,plain,
( ( ( ~ ! [SY168: $i] :
~ ~ ( ~ ( in @ SY168 @ sK148_SX0 )
| ~ ! [SY169: $i] :
( ~ ( in @ SY169 @ sK148_SX0 )
| ( SY168 = SY169 )
| ( in @ SY168 @ SY169 ) ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1194]) ).
thf(1380,plain,
( ( ( in @ sK149_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1195]) ).
thf(1381,plain,
( ( ( ~ ( ( sK149_SX0 != emptyset ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1196]) ).
thf(1382,plain,
( ( ( ~ ! [SY170: $i] :
~ ~ ( ~ ( in @ SY170 @ sK149_SX0 )
| ~ ! [SY171: $i] :
( ~ ( in @ SY171 @ sK149_SX0 )
| ( SY170 = SY171 )
| ( in @ SY170 @ SY171 ) ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1196]) ).
thf(1383,plain,
( ( ( in @ sK150_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1197]) ).
thf(1384,plain,
( ( ( ~ ( ( sK150_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1385,plain,
( ( ( ~ ! [SY172: $i] :
~ ~ ( ~ ( in @ SY172 @ sK150_SX0 )
| ~ ! [SY173: $i] :
( ~ ( in @ SY173 @ sK150_SX0 )
| ( SY172 = SY173 )
| ( in @ SY172 @ SY173 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1386,plain,
( ( ( in @ sK151_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1387,plain,
( ( ( ~ ( ( sK151_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1200]) ).
thf(1388,plain,
( ( ( ~ ! [SY174: $i] :
~ ~ ( ~ ( in @ SY174 @ sK151_SX0 )
| ~ ! [SY175: $i] :
( ~ ( in @ SY175 @ sK151_SX0 )
| ( SY174 = SY175 )
| ( in @ SY174 @ SY175 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1200]) ).
thf(1389,plain,
( ( ( ( sK126_SX0 != emptyset ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1390,plain,
( ( ( ! [SY130: $i] :
~ ~ ( ~ ( in @ SY130 @ sK126_SX0 )
| ~ ! [SY131: $i] :
( ~ ( in @ SY131 @ sK126_SX0 )
| ( SY130 = SY131 )
| ( in @ SY130 @ SY131 ) ) ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1391,plain,
( ( ( ( sK127_SX0 != emptyset ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1392,plain,
( ( ( ! [SY132: $i] :
~ ~ ( ~ ( in @ SY132 @ sK127_SX0 )
| ~ ! [SY133: $i] :
( ~ ( in @ SY133 @ sK127_SX0 )
| ( SY132 = SY133 )
| ( in @ SY132 @ SY133 ) ) ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1206]) ).
thf(1393,plain,
( ( ( ~ ( in @ sK172_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1207]) ).
thf(1394,plain,
( ( ( ~ ( ( sK172_SX0 != emptyset ) )
| ~ ! [SY210: $i] :
~ ~ ( ~ ( in @ SY210 @ sK172_SX0 )
| ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ sK172_SX0 )
| ( SY210 = SY211 )
| ( in @ SY210 @ SY211 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1207]) ).
thf(1395,plain,
( ( ( ~ ( in @ sK173_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1208]) ).
thf(1396,plain,
( ( ( ~ ( ( sK173_SX0 != emptyset ) )
| ~ ! [SY212: $i] :
~ ~ ( ~ ( in @ SY212 @ sK173_SX0 )
| ~ ! [SY213: $i] :
( ~ ( in @ SY213 @ sK173_SX0 )
| ( SY212 = SY213 )
| ( in @ SY212 @ SY213 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1208]) ).
thf(1397,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1398,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1399,plain,
( ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1400,plain,
( ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1212]) ).
thf(1401,plain,
( ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1213]) ).
thf(1402,plain,
( ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1214]) ).
thf(1403,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1404,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1405,plain,
( ( ( ~ ( in @ sK174_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1406,plain,
( ( ( ~ ( ( sK174_SX0 != emptyset ) )
| ~ ! [SY214: $i] :
~ ~ ( ~ ( in @ SY214 @ sK174_SX0 )
| ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ sK174_SX0 )
| ( SY214 = SY215 )
| ( in @ SY214 @ SY215 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1407,plain,
( ( ( ~ ( in @ sK175_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1408,plain,
( ( ( ~ ( ( sK175_SX0 != emptyset ) )
| ~ ! [SY216: $i] :
~ ~ ( ~ ( in @ SY216 @ sK175_SX0 )
| ~ ! [SY217: $i] :
( ~ ( in @ SY217 @ sK175_SX0 )
| ( SY216 = SY217 )
| ( in @ SY216 @ SY217 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1409,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1219]) ).
thf(1410,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1220]) ).
thf(1411,plain,
( ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1221]) ).
thf(1412,plain,
( ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1222]) ).
thf(1413,plain,
( ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1414,plain,
( ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1224]) ).
thf(1415,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1416,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1417,plain,
! [SV36: $i] :
( ( ( ~ ( ~ ( in @ SV36 @ sK104_SX0 )
| ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ sK104_SX0 )
| ( SV36 = SY218 )
| ( in @ SV36 @ SY218 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1418,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ( in @ SV37 @ sK105_SX0 )
| ~ ! [SY219: $i] :
( ~ ( in @ SY219 @ sK105_SX0 )
| ( SV37 = SY219 )
| ( in @ SV37 @ SY219 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1419,plain,
( ( ( ( sK132_SX0 != emptyset ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1232]) ).
thf(1420,plain,
( ( ( ! [SY134: $i] :
~ ~ ( ~ ( in @ SY134 @ sK132_SX0 )
| ~ ! [SY135: $i] :
( ~ ( in @ SY135 @ sK132_SX0 )
| ( SY134 = SY135 )
| ( in @ SY134 @ SY135 ) ) ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1233]) ).
thf(1421,plain,
( ( ( ( sK133_SX0 != emptyset ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1235]) ).
thf(1422,plain,
( ( ( ! [SY136: $i] :
~ ~ ( ~ ( in @ SY136 @ sK133_SX0 )
| ~ ! [SY137: $i] :
( ~ ( in @ SY137 @ sK133_SX0 )
| ( SY136 = SY137 )
| ( in @ SY136 @ SY137 ) ) ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1236]) ).
thf(1423,plain,
( ( ( in @ sK156_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1424,plain,
( ( ( ~ ( ( sK156_SX0 != emptyset ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1425,plain,
( ( ( ~ ! [SY176: $i] :
~ ~ ( ~ ( in @ SY176 @ sK156_SX0 )
| ~ ! [SY177: $i] :
( ~ ( in @ SY177 @ sK156_SX0 )
| ( SY176 = SY177 )
| ( in @ SY176 @ SY177 ) ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1426,plain,
( ( ( in @ sK157_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1239]) ).
thf(1427,plain,
( ( ( ~ ( ( sK157_SX0 != emptyset ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1428,plain,
( ( ( ~ ! [SY178: $i] :
~ ~ ( ~ ( in @ SY178 @ sK157_SX0 )
| ~ ! [SY179: $i] :
( ~ ( in @ SY179 @ sK157_SX0 )
| ( SY178 = SY179 )
| ( in @ SY178 @ SY179 ) ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1429,plain,
( ( ( in @ sK158_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1241]) ).
thf(1430,plain,
( ( ( ~ ( ( sK158_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1431,plain,
( ( ( ~ ! [SY180: $i] :
~ ~ ( ~ ( in @ SY180 @ sK158_SX0 )
| ~ ! [SY181: $i] :
( ~ ( in @ SY181 @ sK158_SX0 )
| ( SY180 = SY181 )
| ( in @ SY180 @ SY181 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1432,plain,
( ( ( in @ sK159_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1433,plain,
( ( ( ~ ( ( sK159_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1244]) ).
thf(1434,plain,
( ( ( ~ ! [SY182: $i] :
~ ~ ( ~ ( in @ SY182 @ sK159_SX0 )
| ~ ! [SY183: $i] :
( ~ ( in @ SY183 @ sK159_SX0 )
| ( SY182 = SY183 )
| ( in @ SY182 @ SY183 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1244]) ).
thf(1435,plain,
( ( ( ( sK134_SX0 != emptyset ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1436,plain,
( ( ( ! [SY138: $i] :
~ ~ ( ~ ( in @ SY138 @ sK134_SX0 )
| ~ ! [SY139: $i] :
( ~ ( in @ SY139 @ sK134_SX0 )
| ( SY138 = SY139 )
| ( in @ SY138 @ SY139 ) ) ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1437,plain,
( ( ( ( sK135_SX0 != emptyset ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1249]) ).
thf(1438,plain,
( ( ( ! [SY140: $i] :
~ ~ ( ~ ( in @ SY140 @ sK135_SX0 )
| ~ ! [SY141: $i] :
( ~ ( in @ SY141 @ sK135_SX0 )
| ( SY140 = SY141 )
| ( in @ SY140 @ SY141 ) ) ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1439,plain,
! [SV8: $i] :
( ( ( ! [SY86: $i] :
( ~ ( in @ SY86 @ sK44_SX0 )
| ( SV8 = SY86 )
| ( in @ SV8 @ SY86 ) ) )
= $false )
| ( ( in @ SV8 @ sK44_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1440,plain,
! [SV9: $i] :
( ( ( ! [SY87: $i] :
( ~ ( in @ SY87 @ sK45_SX0 )
| ( SV9 = SY87 )
| ( in @ SV9 @ SY87 ) ) )
= $false )
| ( ( in @ SV9 @ sK45_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1441,plain,
! [SV16: $i] :
( ( ( ~ ( in @ SV16 @ sK68_SX0 ) )
= $true )
| ( ( ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ sK68_SX0 )
| ( SV16 = SY142 )
| ( in @ SV16 @ SY142 ) ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1253]) ).
thf(1442,plain,
! [SV17: $i] :
( ( ( ~ ( in @ SV17 @ sK69_SX0 ) )
= $true )
| ( ( ~ ! [SY143: $i] :
( ~ ( in @ SY143 @ sK69_SX0 )
| ( SV17 = SY143 )
| ( in @ SV17 @ SY143 ) ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1254]) ).
thf(1443,plain,
! [SV26: $i] :
( ( ( ~ ( in @ SV26 @ sK88_SX0 )
| ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ sK88_SX0 )
| ( SV26 = SY184 )
| ( in @ SV26 @ SY184 ) ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1255]) ).
thf(1444,plain,
! [SV27: $i] :
( ( ( ~ ( in @ SV27 @ sK89_SX0 )
| ~ ! [SY185: $i] :
( ~ ( in @ SY185 @ sK89_SX0 )
| ( SV27 = SY185 )
| ( in @ SV27 @ SY185 ) ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1256]) ).
thf(1445,plain,
! [SV28: $i] :
( ( ( ~ ( in @ SV28 @ sK90_SX0 )
| ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ sK90_SX0 )
| ( SV28 = SY186 )
| ( in @ SV28 @ SY186 ) ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1257]) ).
thf(1446,plain,
! [SV29: $i] :
( ( ( ~ ( in @ SV29 @ sK91_SX0 )
| ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ sK91_SX0 )
| ( SV29 = SY187 )
| ( in @ SV29 @ SY187 ) ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1258]) ).
thf(1447,plain,
! [SV18: $i] :
( ( ( ~ ( in @ SV18 @ sK70_SX0 ) )
= $true )
| ( ( ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ sK70_SX0 )
| ( SV18 = SY144 )
| ( in @ SV18 @ SY144 ) ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1259]) ).
thf(1448,plain,
! [SV19: $i] :
( ( ( ~ ( in @ SV19 @ sK71_SX0 ) )
= $true )
| ( ( ~ ! [SY145: $i] :
( ~ ( in @ SY145 @ sK71_SX0 )
| ( SV19 = SY145 )
| ( in @ SV19 @ SY145 ) ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1260]) ).
thf(1449,plain,
! [SV20: $i] :
( ( ( ~ ( in @ SV20 @ sK72_SX0 ) )
= $true )
| ( ( ~ ! [SY146: $i] :
( ~ ( in @ SY146 @ sK72_SX0 )
| ( SV20 = SY146 )
| ( in @ SV20 @ SY146 ) ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1261]) ).
thf(1450,plain,
! [SV21: $i] :
( ( ( ~ ( in @ SV21 @ sK73_SX0 ) )
= $true )
| ( ( ~ ! [SY147: $i] :
( ~ ( in @ SY147 @ sK73_SX0 )
| ( SV21 = SY147 )
| ( in @ SV21 @ SY147 ) ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1262]) ).
thf(1451,plain,
! [SV38: $i] :
( ( ( ~ ( ~ ( in @ SV38 @ sK106_SX0 )
| ~ ! [SY220: $i] :
( ~ ( in @ SY220 @ sK106_SX0 )
| ( SV38 = SY220 )
| ( in @ SV38 @ SY220 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1452,plain,
! [SV39: $i] :
( ( ( ~ ( ~ ( in @ SV39 @ sK107_SX0 )
| ~ ! [SY221: $i] :
( ~ ( in @ SY221 @ sK107_SX0 )
| ( SV39 = SY221 )
| ( in @ SV39 @ SY221 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1266]) ).
thf(1453,plain,
( ( ( sK120_SX0 = emptyset )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1454,plain,
! [SV50: $i] :
( ( ( ~ ~ ( ~ ( in @ SV50 @ sK120_SX0 )
| ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ sK120_SX0 )
| ( SV50 = SY240 )
| ( in @ SV50 @ SY240 ) ) ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1455,plain,
( ( ( sK121_SX0 = emptyset )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1456,plain,
! [SV51: $i] :
( ( ( ~ ~ ( ~ ( in @ SV51 @ sK121_SX0 )
| ~ ! [SY241: $i] :
( ~ ( in @ SY241 @ sK121_SX0 )
| ( SV51 = SY241 )
| ( in @ SV51 @ SY241 ) ) ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1457,plain,
( ( ( sK122_SX0 = emptyset )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1458,plain,
! [SV52: $i] :
( ( ( ~ ~ ( ~ ( in @ SV52 @ sK122_SX0 )
| ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ sK122_SX0 )
| ( SV52 = SY242 )
| ( in @ SV52 @ SY242 ) ) ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1459,plain,
( ( ( sK123_SX0 = emptyset )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1460,plain,
! [SV53: $i] :
( ( ( ~ ~ ( ~ ( in @ SV53 @ sK123_SX0 )
| ~ ! [SY243: $i] :
( ~ ( in @ SY243 @ sK123_SX0 )
| ( SV53 = SY243 )
| ( in @ SV53 @ SY243 ) ) ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1274]) ).
thf(1461,plain,
! [SV40: $i] :
( ( ( ~ ( ~ ( in @ SV40 @ sK108_SX0 )
| ~ ! [SY222: $i] :
( ~ ( in @ SY222 @ sK108_SX0 )
| ( SV40 = SY222 )
| ( in @ SV40 @ SY222 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1462,plain,
! [SV41: $i] :
( ( ( ~ ( ~ ( in @ SV41 @ sK109_SX0 )
| ~ ! [SY223: $i] :
( ~ ( in @ SY223 @ sK109_SX0 )
| ( SV41 = SY223 )
| ( in @ SV41 @ SY223 ) ) ) )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1463,plain,
! [SV42: $i] :
( ( ( ~ ( ~ ( in @ SV42 @ sK110_SX0 )
| ~ ! [SY224: $i] :
( ~ ( in @ SY224 @ sK110_SX0 )
| ( SV42 = SY224 )
| ( in @ SV42 @ SY224 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1280]) ).
thf(1464,plain,
! [SV43: $i] :
( ( ( ~ ( ~ ( in @ SV43 @ sK111_SX0 )
| ~ ! [SY225: $i] :
( ~ ( in @ SY225 @ sK111_SX0 )
| ( SV43 = SY225 )
| ( in @ SV43 @ SY225 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1465,plain,
( ( ( ( sK136_SX0 != emptyset ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1284]) ).
thf(1466,plain,
( ( ( ! [SY148: $i] :
~ ~ ( ~ ( in @ SY148 @ sK136_SX0 )
| ~ ! [SY149: $i] :
( ~ ( in @ SY149 @ sK136_SX0 )
| ( SY148 = SY149 )
| ( in @ SY148 @ SY149 ) ) ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1285]) ).
thf(1467,plain,
( ( ( ( sK137_SX0 != emptyset ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1468,plain,
( ( ( ! [SY150: $i] :
~ ~ ( ~ ( in @ SY150 @ sK137_SX0 )
| ~ ! [SY151: $i] :
( ~ ( in @ SY151 @ sK137_SX0 )
| ( SY150 = SY151 )
| ( in @ SY150 @ SY151 ) ) ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1288]) ).
thf(1469,plain,
( ( ( in @ sK160_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1289]) ).
thf(1470,plain,
( ( ( ~ ( ( sK160_SX0 != emptyset ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1290]) ).
thf(1471,plain,
( ( ( ~ ! [SY188: $i] :
~ ~ ( ~ ( in @ SY188 @ sK160_SX0 )
| ~ ! [SY189: $i] :
( ~ ( in @ SY189 @ sK160_SX0 )
| ( SY188 = SY189 )
| ( in @ SY188 @ SY189 ) ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1290]) ).
thf(1472,plain,
( ( ( in @ sK161_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1291]) ).
thf(1473,plain,
( ( ( ~ ( ( sK161_SX0 != emptyset ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1292]) ).
thf(1474,plain,
( ( ( ~ ! [SY190: $i] :
~ ~ ( ~ ( in @ SY190 @ sK161_SX0 )
| ~ ! [SY191: $i] :
( ~ ( in @ SY191 @ sK161_SX0 )
| ( SY190 = SY191 )
| ( in @ SY190 @ SY191 ) ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1292]) ).
thf(1475,plain,
( ( ( in @ sK162_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1476,plain,
( ( ( ~ ( ( sK162_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1294]) ).
thf(1477,plain,
( ( ( ~ ! [SY192: $i] :
~ ~ ( ~ ( in @ SY192 @ sK162_SX0 )
| ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ sK162_SX0 )
| ( SY192 = SY193 )
| ( in @ SY192 @ SY193 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1294]) ).
thf(1478,plain,
( ( ( in @ sK163_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1479,plain,
( ( ( ~ ( ( sK163_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1296]) ).
thf(1480,plain,
( ( ( ~ ! [SY194: $i] :
~ ~ ( ~ ( in @ SY194 @ sK163_SX0 )
| ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ sK163_SX0 )
| ( SY194 = SY195 )
| ( in @ SY194 @ SY195 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1296]) ).
thf(1481,plain,
( ( ( ( sK138_SX0 != emptyset ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1298]) ).
thf(1482,plain,
( ( ( ! [SY152: $i] :
~ ~ ( ~ ( in @ SY152 @ sK138_SX0 )
| ~ ! [SY153: $i] :
( ~ ( in @ SY153 @ sK138_SX0 )
| ( SY152 = SY153 )
| ( in @ SY152 @ SY153 ) ) ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1299]) ).
thf(1483,plain,
( ( ( ( sK139_SX0 != emptyset ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1301]) ).
thf(1484,plain,
( ( ( ! [SY154: $i] :
~ ~ ( ~ ( in @ SY154 @ sK139_SX0 )
| ~ ! [SY155: $i] :
( ~ ( in @ SY155 @ sK139_SX0 )
| ( SY154 = SY155 )
| ( in @ SY154 @ SY155 ) ) ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1302]) ).
thf(1485,plain,
( ( ( ~ ( in @ sK176_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1486,plain,
( ( ( ~ ( ( sK176_SX0 != emptyset ) )
| ~ ! [SY226: $i] :
~ ~ ( ~ ( in @ SY226 @ sK176_SX0 )
| ~ ! [SY227: $i] :
( ~ ( in @ SY227 @ sK176_SX0 )
| ( SY226 = SY227 )
| ( in @ SY226 @ SY227 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1487,plain,
( ( ( ~ ( in @ sK177_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1488,plain,
( ( ( ~ ( ( sK177_SX0 != emptyset ) )
| ~ ! [SY228: $i] :
~ ~ ( ~ ( in @ SY228 @ sK177_SX0 )
| ~ ! [SY229: $i] :
( ~ ( in @ SY229 @ sK177_SX0 )
| ( SY228 = SY229 )
| ( in @ SY228 @ SY229 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1489,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1490,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1306]) ).
thf(1491,plain,
( ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1307]) ).
thf(1492,plain,
( ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1308]) ).
thf(1493,plain,
( ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1309]) ).
thf(1494,plain,
( ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1310]) ).
thf(1495,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1496,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1497,plain,
( ( ( ~ ( in @ sK178_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1498,plain,
( ( ( ~ ( ( sK178_SX0 != emptyset ) )
| ~ ! [SY230: $i] :
~ ~ ( ~ ( in @ SY230 @ sK178_SX0 )
| ~ ! [SY231: $i] :
( ~ ( in @ SY231 @ sK178_SX0 )
| ( SY230 = SY231 )
| ( in @ SY230 @ SY231 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1499,plain,
( ( ( ~ ( in @ sK179_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1500,plain,
( ( ( ~ ( ( sK179_SX0 != emptyset ) )
| ~ ! [SY232: $i] :
~ ~ ( ~ ( in @ SY232 @ sK179_SX0 )
| ~ ! [SY233: $i] :
( ~ ( in @ SY233 @ sK179_SX0 )
| ( SY232 = SY233 )
| ( in @ SY232 @ SY233 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1501,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1315]) ).
thf(1502,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1316]) ).
thf(1503,plain,
( ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1317]) ).
thf(1504,plain,
( ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1318]) ).
thf(1505,plain,
( ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1319]) ).
thf(1506,plain,
( ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1320]) ).
thf(1507,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1321]) ).
thf(1508,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1322]) ).
thf(1509,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ( in @ SV44 @ sK114_SX0 )
| ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ sK114_SX0 )
| ( SV44 = SY234 )
| ( in @ SV44 @ SY234 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1510,plain,
! [SV45: $i] :
( ( ( ~ ( ~ ( in @ SV45 @ sK115_SX0 )
| ~ ! [SY235: $i] :
( ~ ( in @ SY235 @ sK115_SX0 )
| ( SV45 = SY235 )
| ( in @ SV45 @ SY235 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1326]) ).
thf(1511,plain,
( ( ( ( sK144_SX0 != emptyset ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1328]) ).
thf(1512,plain,
( ( ( ! [SY156: $i] :
~ ~ ( ~ ( in @ SY156 @ sK144_SX0 )
| ~ ! [SY157: $i] :
( ~ ( in @ SY157 @ sK144_SX0 )
| ( SY156 = SY157 )
| ( in @ SY156 @ SY157 ) ) ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1329]) ).
thf(1513,plain,
( ( ( ( sK145_SX0 != emptyset ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1331]) ).
thf(1514,plain,
( ( ( ! [SY158: $i] :
~ ~ ( ~ ( in @ SY158 @ sK145_SX0 )
| ~ ! [SY159: $i] :
( ~ ( in @ SY159 @ sK145_SX0 )
| ( SY158 = SY159 )
| ( in @ SY158 @ SY159 ) ) ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1332]) ).
thf(1515,plain,
( ( ( in @ sK168_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1333]) ).
thf(1516,plain,
( ( ( ~ ( ( sK168_SX0 != emptyset ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1334]) ).
thf(1517,plain,
( ( ( ~ ! [SY196: $i] :
~ ~ ( ~ ( in @ SY196 @ sK168_SX0 )
| ~ ! [SY197: $i] :
( ~ ( in @ SY197 @ sK168_SX0 )
| ( SY196 = SY197 )
| ( in @ SY196 @ SY197 ) ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1334]) ).
thf(1518,plain,
( ( ( in @ sK169_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1335]) ).
thf(1519,plain,
( ( ( ~ ( ( sK169_SX0 != emptyset ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1520,plain,
( ( ( ~ ! [SY198: $i] :
~ ~ ( ~ ( in @ SY198 @ sK169_SX0 )
| ~ ! [SY199: $i] :
( ~ ( in @ SY199 @ sK169_SX0 )
| ( SY198 = SY199 )
| ( in @ SY198 @ SY199 ) ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1521,plain,
( ( ( in @ sK170_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1337]) ).
thf(1522,plain,
( ( ( ~ ( ( sK170_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1338]) ).
thf(1523,plain,
( ( ( ~ ! [SY200: $i] :
~ ~ ( ~ ( in @ SY200 @ sK170_SX0 )
| ~ ! [SY201: $i] :
( ~ ( in @ SY201 @ sK170_SX0 )
| ( SY200 = SY201 )
| ( in @ SY200 @ SY201 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1338]) ).
thf(1524,plain,
( ( ( in @ sK171_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1339]) ).
thf(1525,plain,
( ( ( ~ ( ( sK171_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1526,plain,
( ( ( ~ ! [SY202: $i] :
~ ~ ( ~ ( in @ SY202 @ sK171_SX0 )
| ~ ! [SY203: $i] :
( ~ ( in @ SY203 @ sK171_SX0 )
| ( SY202 = SY203 )
| ( in @ SY202 @ SY203 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1527,plain,
( ( ( ( sK146_SX0 != emptyset ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1342]) ).
thf(1528,plain,
( ( ( ! [SY160: $i] :
~ ~ ( ~ ( in @ SY160 @ sK146_SX0 )
| ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ sK146_SX0 )
| ( SY160 = SY161 )
| ( in @ SY160 @ SY161 ) ) ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1343]) ).
thf(1529,plain,
( ( ( ( sK147_SX0 != emptyset ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1345]) ).
thf(1530,plain,
( ( ( ! [SY162: $i] :
~ ~ ( ~ ( in @ SY162 @ sK147_SX0 )
| ~ ! [SY163: $i] :
( ~ ( in @ SY163 @ sK147_SX0 )
| ( SY162 = SY163 )
| ( in @ SY162 @ SY163 ) ) ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1346]) ).
thf(1531,plain,
! [SV6: $i] :
( ( ( ~ ( in @ ( sK180_SY68 @ SV6 ) @ sK36_SX0 )
| ( SV6
= ( sK180_SY68 @ SV6 ) )
| ( in @ SV6 @ ( sK180_SY68 @ SV6 ) ) )
= $false )
| ( ( in @ SV6 @ sK36_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1347]) ).
thf(1532,plain,
! [SV7: $i] :
( ( ( ~ ( in @ ( sK181_SY69 @ SV7 ) @ sK37_SX0 )
| ( SV7
= ( sK181_SY69 @ SV7 ) )
| ( in @ SV7 @ ( sK181_SY69 @ SV7 ) ) )
= $false )
| ( ( in @ SV7 @ sK37_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1348]) ).
thf(1533,plain,
! [SV10: $i] :
( ( ( in @ SV10 @ sK56_SX0 )
= $false )
| ( ( ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ sK56_SX0 )
| ( SV10 = SY120 )
| ( in @ SV10 @ SY120 ) ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1349]) ).
thf(1534,plain,
! [SV11: $i] :
( ( ( in @ SV11 @ sK57_SX0 )
= $false )
| ( ( ~ ! [SY121: $i] :
( ~ ( in @ SY121 @ sK57_SX0 )
| ( SV11 = SY121 )
| ( in @ SV11 @ SY121 ) ) )
= $true )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1535,plain,
! [SV22: $i] :
( ( ( ~ ( in @ SV22 @ sK80_SX0 ) )
= $true )
| ( ( ~ ! [SY164: $i] :
( ~ ( in @ SY164 @ sK80_SX0 )
| ( SV22 = SY164 )
| ( in @ SV22 @ SY164 ) ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1351]) ).
thf(1536,plain,
! [SV23: $i] :
( ( ( ~ ( in @ SV23 @ sK81_SX0 ) )
= $true )
| ( ( ~ ! [SY165: $i] :
( ~ ( in @ SY165 @ sK81_SX0 )
| ( SV23 = SY165 )
| ( in @ SV23 @ SY165 ) ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1352]) ).
thf(1537,plain,
! [SV24: $i] :
( ( ( ~ ( in @ SV24 @ sK82_SX0 ) )
= $true )
| ( ( ~ ! [SY166: $i] :
( ~ ( in @ SY166 @ sK82_SX0 )
| ( SV24 = SY166 )
| ( in @ SV24 @ SY166 ) ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1353]) ).
thf(1538,plain,
! [SV25: $i] :
( ( ( ~ ( in @ SV25 @ sK83_SX0 ) )
= $true )
| ( ( ~ ! [SY167: $i] :
( ~ ( in @ SY167 @ sK83_SX0 )
| ( SV25 = SY167 )
| ( in @ SV25 @ SY167 ) ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1354]) ).
thf(1539,plain,
! [SV12: $i] :
( ( ( in @ SV12 @ sK58_SX0 )
= $false )
| ( ( ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ sK58_SX0 )
| ( SV12 = SY122 )
| ( in @ SV12 @ SY122 ) ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1355]) ).
thf(1540,plain,
! [SV13: $i] :
( ( ( in @ SV13 @ sK59_SX0 )
= $false )
| ( ( ~ ! [SY123: $i] :
( ~ ( in @ SY123 @ sK59_SX0 )
| ( SV13 = SY123 )
| ( in @ SV13 @ SY123 ) ) )
= $true )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1541,plain,
! [SV14: $i] :
( ( ( in @ SV14 @ sK60_SX0 )
= $false )
| ( ( ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ sK60_SX0 )
| ( SV14 = SY124 )
| ( in @ SV14 @ SY124 ) ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1542,plain,
! [SV15: $i] :
( ( ( in @ SV15 @ sK61_SX0 )
= $false )
| ( ( ~ ! [SY125: $i] :
( ~ ( in @ SY125 @ sK61_SX0 )
| ( SV15 = SY125 )
| ( in @ SV15 @ SY125 ) ) )
= $true )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1543,plain,
! [SV30: $i] :
( ( ( ~ ( in @ SV30 @ sK96_SX0 )
| ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ sK96_SX0 )
| ( SV30 = SY204 )
| ( in @ SV30 @ SY204 ) ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1359]) ).
thf(1544,plain,
! [SV31: $i] :
( ( ( ~ ( in @ SV31 @ sK97_SX0 )
| ~ ! [SY205: $i] :
( ~ ( in @ SY205 @ sK97_SX0 )
| ( SV31 = SY205 )
| ( in @ SV31 @ SY205 ) ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1360]) ).
thf(1545,plain,
! [SV46: $i] :
( ( ( ~ ( ~ ( in @ SV46 @ sK116_SX0 )
| ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ sK116_SX0 )
| ( SV46 = SY236 )
| ( in @ SV46 @ SY236 ) ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1362]) ).
thf(1546,plain,
! [SV47: $i] :
( ( ( ~ ( ~ ( in @ SV47 @ sK117_SX0 )
| ~ ! [SY237: $i] :
( ~ ( in @ SY237 @ sK117_SX0 )
| ( SV47 = SY237 )
| ( in @ SV47 @ SY237 ) ) ) )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1364]) ).
thf(1547,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ( in @ SV48 @ sK118_SX0 )
| ~ ! [SY238: $i] :
( ~ ( in @ SY238 @ sK118_SX0 )
| ( SV48 = SY238 )
| ( in @ SV48 @ SY238 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1366]) ).
thf(1548,plain,
! [SV49: $i] :
( ( ( ~ ( ~ ( in @ SV49 @ sK119_SX0 )
| ~ ! [SY239: $i] :
( ~ ( in @ SY239 @ sK119_SX0 )
| ( SV49 = SY239 )
| ( in @ SV49 @ SY239 ) ) ) )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1549,plain,
! [SV32: $i] :
( ( ( ~ ( in @ SV32 @ sK98_SX0 )
| ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ sK98_SX0 )
| ( SV32 = SY206 )
| ( in @ SV32 @ SY206 ) ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1369]) ).
thf(1550,plain,
! [SV33: $i] :
( ( ( ~ ( in @ SV33 @ sK99_SX0 )
| ~ ! [SY207: $i] :
( ~ ( in @ SY207 @ sK99_SX0 )
| ( SV33 = SY207 )
| ( in @ SV33 @ SY207 ) ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1370]) ).
thf(1551,plain,
! [SV34: $i] :
( ( ( ~ ( in @ SV34 @ sK100_SX0 )
| ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ sK100_SX0 )
| ( SV34 = SY208 )
| ( in @ SV34 @ SY208 ) ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1371]) ).
thf(1552,plain,
! [SV35: $i] :
( ( ( ~ ( in @ SV35 @ sK101_SX0 )
| ~ ! [SY209: $i] :
( ~ ( in @ SY209 @ sK101_SX0 )
| ( SV35 = SY209 )
| ( in @ SV35 @ SY209 ) ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1372]) ).
thf(1553,plain,
( ( ( sK124_SX0 = emptyset )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1554,plain,
! [SV54: $i] :
( ( ( ~ ~ ( ~ ( in @ SV54 @ sK124_SX0 )
| ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ sK124_SX0 )
| ( SV54 = SY244 )
| ( in @ SV54 @ SY244 ) ) ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1555,plain,
( ( ( sK125_SX0 = emptyset )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1556,plain,
! [SV55: $i] :
( ( ( ~ ~ ( ~ ( in @ SV55 @ sK125_SX0 )
| ~ ! [SY245: $i] :
( ~ ( in @ SY245 @ sK125_SX0 )
| ( SV55 = SY245 )
| ( in @ SV55 @ SY245 ) ) ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1376]) ).
thf(1557,plain,
( ( ( ( sK148_SX0 != emptyset ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1378]) ).
thf(1558,plain,
( ( ( ! [SY168: $i] :
~ ~ ( ~ ( in @ SY168 @ sK148_SX0 )
| ~ ! [SY169: $i] :
( ~ ( in @ SY169 @ sK148_SX0 )
| ( SY168 = SY169 )
| ( in @ SY168 @ SY169 ) ) ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1379]) ).
thf(1559,plain,
( ( ( ( sK149_SX0 != emptyset ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1381]) ).
thf(1560,plain,
( ( ( ! [SY170: $i] :
~ ~ ( ~ ( in @ SY170 @ sK149_SX0 )
| ~ ! [SY171: $i] :
( ~ ( in @ SY171 @ sK149_SX0 )
| ( SY170 = SY171 )
| ( in @ SY170 @ SY171 ) ) ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1382]) ).
thf(1561,plain,
( ( ( ( sK150_SX0 != emptyset ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1384]) ).
thf(1562,plain,
( ( ( ! [SY172: $i] :
~ ~ ( ~ ( in @ SY172 @ sK150_SX0 )
| ~ ! [SY173: $i] :
( ~ ( in @ SY173 @ sK150_SX0 )
| ( SY172 = SY173 )
| ( in @ SY172 @ SY173 ) ) ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1385]) ).
thf(1563,plain,
( ( ( ( sK151_SX0 != emptyset ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1387]) ).
thf(1564,plain,
( ( ( ! [SY174: $i] :
~ ~ ( ~ ( in @ SY174 @ sK151_SX0 )
| ~ ! [SY175: $i] :
( ~ ( in @ SY175 @ sK151_SX0 )
| ( SY174 = SY175 )
| ( in @ SY174 @ SY175 ) ) ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1388]) ).
thf(1565,plain,
( ( ( sK126_SX0 = emptyset )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1566,plain,
! [SV56: $i] :
( ( ( ~ ~ ( ~ ( in @ SV56 @ sK126_SX0 )
| ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ sK126_SX0 )
| ( SV56 = SY246 )
| ( in @ SV56 @ SY246 ) ) ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1567,plain,
( ( ( sK127_SX0 = emptyset )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1568,plain,
! [SV57: $i] :
( ( ( ~ ~ ( ~ ( in @ SV57 @ sK127_SX0 )
| ~ ! [SY247: $i] :
( ~ ( in @ SY247 @ sK127_SX0 )
| ( SV57 = SY247 )
| ( in @ SV57 @ SY247 ) ) ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1392]) ).
thf(1569,plain,
( ( ( in @ sK172_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1393]) ).
thf(1570,plain,
( ( ( ~ ( ( sK172_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1571,plain,
( ( ( ~ ! [SY210: $i] :
~ ~ ( ~ ( in @ SY210 @ sK172_SX0 )
| ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ sK172_SX0 )
| ( SY210 = SY211 )
| ( in @ SY210 @ SY211 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1572,plain,
( ( ( in @ sK173_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1395]) ).
thf(1573,plain,
( ( ( ~ ( ( sK173_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1396]) ).
thf(1574,plain,
( ( ( ~ ! [SY212: $i] :
~ ~ ( ~ ( in @ SY212 @ sK173_SX0 )
| ~ ! [SY213: $i] :
( ~ ( in @ SY213 @ sK173_SX0 )
| ( SY212 = SY213 )
| ( in @ SY212 @ SY213 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1396]) ).
thf(1575,plain,
( ( ( ~ ( in @ sK182_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK182_SX0 != emptyset ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( in @ SY248 @ sK182_SX0 )
| ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ sK182_SX0 )
| ( SY248 = SY249 )
| ( in @ SY248 @ SY249 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1397]) ).
thf(1576,plain,
( ( ( ~ ( in @ sK183_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK183_SX0 != emptyset ) )
| ~ ! [SY250: $i] :
~ ~ ( ~ ( in @ SY250 @ sK183_SX0 )
| ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ sK183_SX0 )
| ( SY250 = SY251 )
| ( in @ SY250 @ SY251 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1398]) ).
thf(1577,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1578,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1400]) ).
thf(1579,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1580,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1581,plain,
( ( ( ~ ( in @ sK184_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK184_SX0 != emptyset ) )
| ~ ! [SY252: $i] :
~ ~ ( ~ ( in @ SY252 @ sK184_SX0 )
| ~ ! [SY253: $i] :
( ~ ( in @ SY253 @ sK184_SX0 )
| ( SY252 = SY253 )
| ( in @ SY252 @ SY253 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1403]) ).
thf(1582,plain,
( ( ( ~ ( in @ sK185_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK185_SX0 != emptyset ) )
| ~ ! [SY254: $i] :
~ ~ ( ~ ( in @ SY254 @ sK185_SX0 )
| ~ ! [SY255: $i] :
( ~ ( in @ SY255 @ sK185_SX0 )
| ( SY254 = SY255 )
| ( in @ SY254 @ SY255 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1404]) ).
thf(1583,plain,
( ( ( in @ sK174_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1405]) ).
thf(1584,plain,
( ( ( ~ ( ( sK174_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1585,plain,
( ( ( ~ ! [SY214: $i] :
~ ~ ( ~ ( in @ SY214 @ sK174_SX0 )
| ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ sK174_SX0 )
| ( SY214 = SY215 )
| ( in @ SY214 @ SY215 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1586,plain,
( ( ( in @ sK175_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1407]) ).
thf(1587,plain,
( ( ( ~ ( ( sK175_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1408]) ).
thf(1588,plain,
( ( ( ~ ! [SY216: $i] :
~ ~ ( ~ ( in @ SY216 @ sK175_SX0 )
| ~ ! [SY217: $i] :
( ~ ( in @ SY217 @ sK175_SX0 )
| ( SY216 = SY217 )
| ( in @ SY216 @ SY217 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1408]) ).
thf(1589,plain,
( ( ( ~ ( in @ sK186_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK186_SX0 != emptyset ) )
| ~ ! [SY256: $i] :
~ ~ ( ~ ( in @ SY256 @ sK186_SX0 )
| ~ ! [SY257: $i] :
( ~ ( in @ SY257 @ sK186_SX0 )
| ( SY256 = SY257 )
| ( in @ SY256 @ SY257 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1409]) ).
thf(1590,plain,
( ( ( ~ ( in @ sK187_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK187_SX0 != emptyset ) )
| ~ ! [SY258: $i] :
~ ~ ( ~ ( in @ SY258 @ sK187_SX0 )
| ~ ! [SY259: $i] :
( ~ ( in @ SY259 @ sK187_SX0 )
| ( SY258 = SY259 )
| ( in @ SY258 @ SY259 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1410]) ).
thf(1591,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1592,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1593,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1413]) ).
thf(1594,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1414]) ).
thf(1595,plain,
( ( ( ~ ( in @ sK188_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK188_SX0 != emptyset ) )
| ~ ! [SY260: $i] :
~ ~ ( ~ ( in @ SY260 @ sK188_SX0 )
| ~ ! [SY261: $i] :
( ~ ( in @ SY261 @ sK188_SX0 )
| ( SY260 = SY261 )
| ( in @ SY260 @ SY261 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1415]) ).
thf(1596,plain,
( ( ( ~ ( in @ sK189_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK189_SX0 != emptyset ) )
| ~ ! [SY262: $i] :
~ ~ ( ~ ( in @ SY262 @ sK189_SX0 )
| ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ sK189_SX0 )
| ( SY262 = SY263 )
| ( in @ SY262 @ SY263 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1416]) ).
thf(1597,plain,
! [SV36: $i] :
( ( ( ~ ( in @ SV36 @ sK104_SX0 )
| ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ sK104_SX0 )
| ( SV36 = SY218 )
| ( in @ SV36 @ SY218 ) ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1417]) ).
thf(1598,plain,
! [SV37: $i] :
( ( ( ~ ( in @ SV37 @ sK105_SX0 )
| ~ ! [SY219: $i] :
( ~ ( in @ SY219 @ sK105_SX0 )
| ( SV37 = SY219 )
| ( in @ SV37 @ SY219 ) ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1599,plain,
( ( ( sK132_SX0 = emptyset )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1419]) ).
thf(1600,plain,
! [SV58: $i] :
( ( ( ~ ~ ( ~ ( in @ SV58 @ sK132_SX0 )
| ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ sK132_SX0 )
| ( SV58 = SY264 )
| ( in @ SV58 @ SY264 ) ) ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1420]) ).
thf(1601,plain,
( ( ( sK133_SX0 = emptyset )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1602,plain,
! [SV59: $i] :
( ( ( ~ ~ ( ~ ( in @ SV59 @ sK133_SX0 )
| ~ ! [SY265: $i] :
( ~ ( in @ SY265 @ sK133_SX0 )
| ( SV59 = SY265 )
| ( in @ SV59 @ SY265 ) ) ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1422]) ).
thf(1603,plain,
( ( ( ( sK156_SX0 != emptyset ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1604,plain,
( ( ( ! [SY176: $i] :
~ ~ ( ~ ( in @ SY176 @ sK156_SX0 )
| ~ ! [SY177: $i] :
( ~ ( in @ SY177 @ sK156_SX0 )
| ( SY176 = SY177 )
| ( in @ SY176 @ SY177 ) ) ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1605,plain,
( ( ( ( sK157_SX0 != emptyset ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1427]) ).
thf(1606,plain,
( ( ( ! [SY178: $i] :
~ ~ ( ~ ( in @ SY178 @ sK157_SX0 )
| ~ ! [SY179: $i] :
( ~ ( in @ SY179 @ sK157_SX0 )
| ( SY178 = SY179 )
| ( in @ SY178 @ SY179 ) ) ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1607,plain,
( ( ( ( sK158_SX0 != emptyset ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1430]) ).
thf(1608,plain,
( ( ( ! [SY180: $i] :
~ ~ ( ~ ( in @ SY180 @ sK158_SX0 )
| ~ ! [SY181: $i] :
( ~ ( in @ SY181 @ sK158_SX0 )
| ( SY180 = SY181 )
| ( in @ SY180 @ SY181 ) ) ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1431]) ).
thf(1609,plain,
( ( ( ( sK159_SX0 != emptyset ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1610,plain,
( ( ( ! [SY182: $i] :
~ ~ ( ~ ( in @ SY182 @ sK159_SX0 )
| ~ ! [SY183: $i] :
( ~ ( in @ SY183 @ sK159_SX0 )
| ( SY182 = SY183 )
| ( in @ SY182 @ SY183 ) ) ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1611,plain,
( ( ( sK134_SX0 = emptyset )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1612,plain,
! [SV60: $i] :
( ( ( ~ ~ ( ~ ( in @ SV60 @ sK134_SX0 )
| ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ sK134_SX0 )
| ( SV60 = SY266 )
| ( in @ SV60 @ SY266 ) ) ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1436]) ).
thf(1613,plain,
( ( ( sK135_SX0 = emptyset )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1614,plain,
! [SV61: $i] :
( ( ( ~ ~ ( ~ ( in @ SV61 @ sK135_SX0 )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ sK135_SX0 )
| ( SV61 = SY267 )
| ( in @ SV61 @ SY267 ) ) ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1438]) ).
thf(1615,plain,
! [SV8: $i] :
( ( ( ~ ( in @ ( sK190_SY86 @ SV8 ) @ sK44_SX0 )
| ( SV8
= ( sK190_SY86 @ SV8 ) )
| ( in @ SV8 @ ( sK190_SY86 @ SV8 ) ) )
= $false )
| ( ( in @ SV8 @ sK44_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1439]) ).
thf(1616,plain,
! [SV9: $i] :
( ( ( ~ ( in @ ( sK191_SY87 @ SV9 ) @ sK45_SX0 )
| ( SV9
= ( sK191_SY87 @ SV9 ) )
| ( in @ SV9 @ ( sK191_SY87 @ SV9 ) ) )
= $false )
| ( ( in @ SV9 @ sK45_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1440]) ).
thf(1617,plain,
! [SV16: $i] :
( ( ( in @ SV16 @ sK68_SX0 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ sK68_SX0 )
| ( SV16 = SY142 )
| ( in @ SV16 @ SY142 ) ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1618,plain,
! [SV17: $i] :
( ( ( in @ SV17 @ sK69_SX0 )
= $false )
| ( ( ~ ! [SY143: $i] :
( ~ ( in @ SY143 @ sK69_SX0 )
| ( SV17 = SY143 )
| ( in @ SV17 @ SY143 ) ) )
= $true )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1619,plain,
! [SV26: $i] :
( ( ( ~ ( in @ SV26 @ sK88_SX0 ) )
= $true )
| ( ( ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ sK88_SX0 )
| ( SV26 = SY184 )
| ( in @ SV26 @ SY184 ) ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1443]) ).
thf(1620,plain,
! [SV27: $i] :
( ( ( ~ ( in @ SV27 @ sK89_SX0 ) )
= $true )
| ( ( ~ ! [SY185: $i] :
( ~ ( in @ SY185 @ sK89_SX0 )
| ( SV27 = SY185 )
| ( in @ SV27 @ SY185 ) ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1444]) ).
thf(1621,plain,
! [SV28: $i] :
( ( ( ~ ( in @ SV28 @ sK90_SX0 ) )
= $true )
| ( ( ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ sK90_SX0 )
| ( SV28 = SY186 )
| ( in @ SV28 @ SY186 ) ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1445]) ).
thf(1622,plain,
! [SV29: $i] :
( ( ( ~ ( in @ SV29 @ sK91_SX0 ) )
= $true )
| ( ( ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ sK91_SX0 )
| ( SV29 = SY187 )
| ( in @ SV29 @ SY187 ) ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1446]) ).
thf(1623,plain,
! [SV18: $i] :
( ( ( in @ SV18 @ sK70_SX0 )
= $false )
| ( ( ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ sK70_SX0 )
| ( SV18 = SY144 )
| ( in @ SV18 @ SY144 ) ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1624,plain,
! [SV19: $i] :
( ( ( in @ SV19 @ sK71_SX0 )
= $false )
| ( ( ~ ! [SY145: $i] :
( ~ ( in @ SY145 @ sK71_SX0 )
| ( SV19 = SY145 )
| ( in @ SV19 @ SY145 ) ) )
= $true )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1625,plain,
! [SV20: $i] :
( ( ( in @ SV20 @ sK72_SX0 )
= $false )
| ( ( ~ ! [SY146: $i] :
( ~ ( in @ SY146 @ sK72_SX0 )
| ( SV20 = SY146 )
| ( in @ SV20 @ SY146 ) ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1626,plain,
! [SV21: $i] :
( ( ( in @ SV21 @ sK73_SX0 )
= $false )
| ( ( ~ ! [SY147: $i] :
( ~ ( in @ SY147 @ sK73_SX0 )
| ( SV21 = SY147 )
| ( in @ SV21 @ SY147 ) ) )
= $true )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1627,plain,
! [SV38: $i] :
( ( ( ~ ( in @ SV38 @ sK106_SX0 )
| ~ ! [SY220: $i] :
( ~ ( in @ SY220 @ sK106_SX0 )
| ( SV38 = SY220 )
| ( in @ SV38 @ SY220 ) ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1451]) ).
thf(1628,plain,
! [SV39: $i] :
( ( ( ~ ( in @ SV39 @ sK107_SX0 )
| ~ ! [SY221: $i] :
( ~ ( in @ SY221 @ sK107_SX0 )
| ( SV39 = SY221 )
| ( in @ SV39 @ SY221 ) ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1452]) ).
thf(1629,plain,
! [SV50: $i] :
( ( ( ~ ( ~ ( in @ SV50 @ sK120_SX0 )
| ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ sK120_SX0 )
| ( SV50 = SY240 )
| ( in @ SV50 @ SY240 ) ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1630,plain,
! [SV51: $i] :
( ( ( ~ ( ~ ( in @ SV51 @ sK121_SX0 )
| ~ ! [SY241: $i] :
( ~ ( in @ SY241 @ sK121_SX0 )
| ( SV51 = SY241 )
| ( in @ SV51 @ SY241 ) ) ) )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1631,plain,
! [SV52: $i] :
( ( ( ~ ( ~ ( in @ SV52 @ sK122_SX0 )
| ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ sK122_SX0 )
| ( SV52 = SY242 )
| ( in @ SV52 @ SY242 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1632,plain,
! [SV53: $i] :
( ( ( ~ ( ~ ( in @ SV53 @ sK123_SX0 )
| ~ ! [SY243: $i] :
( ~ ( in @ SY243 @ sK123_SX0 )
| ( SV53 = SY243 )
| ( in @ SV53 @ SY243 ) ) ) )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1633,plain,
! [SV40: $i] :
( ( ( ~ ( in @ SV40 @ sK108_SX0 )
| ~ ! [SY222: $i] :
( ~ ( in @ SY222 @ sK108_SX0 )
| ( SV40 = SY222 )
| ( in @ SV40 @ SY222 ) ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1634,plain,
! [SV41: $i] :
( ( ( ~ ( in @ SV41 @ sK109_SX0 )
| ~ ! [SY223: $i] :
( ~ ( in @ SY223 @ sK109_SX0 )
| ( SV41 = SY223 )
| ( in @ SV41 @ SY223 ) ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1462]) ).
thf(1635,plain,
! [SV42: $i] :
( ( ( ~ ( in @ SV42 @ sK110_SX0 )
| ~ ! [SY224: $i] :
( ~ ( in @ SY224 @ sK110_SX0 )
| ( SV42 = SY224 )
| ( in @ SV42 @ SY224 ) ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1636,plain,
! [SV43: $i] :
( ( ( ~ ( in @ SV43 @ sK111_SX0 )
| ~ ! [SY225: $i] :
( ~ ( in @ SY225 @ sK111_SX0 )
| ( SV43 = SY225 )
| ( in @ SV43 @ SY225 ) ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1637,plain,
( ( ( sK136_SX0 = emptyset )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1638,plain,
! [SV62: $i] :
( ( ( ~ ~ ( ~ ( in @ SV62 @ sK136_SX0 )
| ~ ! [SY268: $i] :
( ~ ( in @ SY268 @ sK136_SX0 )
| ( SV62 = SY268 )
| ( in @ SV62 @ SY268 ) ) ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1466]) ).
thf(1639,plain,
( ( ( sK137_SX0 = emptyset )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1467]) ).
thf(1640,plain,
! [SV63: $i] :
( ( ( ~ ~ ( ~ ( in @ SV63 @ sK137_SX0 )
| ~ ! [SY269: $i] :
( ~ ( in @ SY269 @ sK137_SX0 )
| ( SV63 = SY269 )
| ( in @ SV63 @ SY269 ) ) ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1468]) ).
thf(1641,plain,
( ( ( ( sK160_SX0 != emptyset ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1642,plain,
( ( ( ! [SY188: $i] :
~ ~ ( ~ ( in @ SY188 @ sK160_SX0 )
| ~ ! [SY189: $i] :
( ~ ( in @ SY189 @ sK160_SX0 )
| ( SY188 = SY189 )
| ( in @ SY188 @ SY189 ) ) ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1471]) ).
thf(1643,plain,
( ( ( ( sK161_SX0 != emptyset ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1644,plain,
( ( ( ! [SY190: $i] :
~ ~ ( ~ ( in @ SY190 @ sK161_SX0 )
| ~ ! [SY191: $i] :
( ~ ( in @ SY191 @ sK161_SX0 )
| ( SY190 = SY191 )
| ( in @ SY190 @ SY191 ) ) ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1474]) ).
thf(1645,plain,
( ( ( ( sK162_SX0 != emptyset ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1476]) ).
thf(1646,plain,
( ( ( ! [SY192: $i] :
~ ~ ( ~ ( in @ SY192 @ sK162_SX0 )
| ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ sK162_SX0 )
| ( SY192 = SY193 )
| ( in @ SY192 @ SY193 ) ) ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1477]) ).
thf(1647,plain,
( ( ( ( sK163_SX0 != emptyset ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1479]) ).
thf(1648,plain,
( ( ( ! [SY194: $i] :
~ ~ ( ~ ( in @ SY194 @ sK163_SX0 )
| ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ sK163_SX0 )
| ( SY194 = SY195 )
| ( in @ SY194 @ SY195 ) ) ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1480]) ).
thf(1649,plain,
( ( ( sK138_SX0 = emptyset )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1481]) ).
thf(1650,plain,
! [SV64: $i] :
( ( ( ~ ~ ( ~ ( in @ SV64 @ sK138_SX0 )
| ~ ! [SY270: $i] :
( ~ ( in @ SY270 @ sK138_SX0 )
| ( SV64 = SY270 )
| ( in @ SV64 @ SY270 ) ) ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1651,plain,
( ( ( sK139_SX0 = emptyset )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1652,plain,
! [SV65: $i] :
( ( ( ~ ~ ( ~ ( in @ SV65 @ sK139_SX0 )
| ~ ! [SY271: $i] :
( ~ ( in @ SY271 @ sK139_SX0 )
| ( SV65 = SY271 )
| ( in @ SV65 @ SY271 ) ) ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(1653,plain,
( ( ( in @ sK176_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1485]) ).
thf(1654,plain,
( ( ( ~ ( ( sK176_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1655,plain,
( ( ( ~ ! [SY226: $i] :
~ ~ ( ~ ( in @ SY226 @ sK176_SX0 )
| ~ ! [SY227: $i] :
( ~ ( in @ SY227 @ sK176_SX0 )
| ( SY226 = SY227 )
| ( in @ SY226 @ SY227 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1656,plain,
( ( ( in @ sK177_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1487]) ).
thf(1657,plain,
( ( ( ~ ( ( sK177_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1658,plain,
( ( ( ~ ! [SY228: $i] :
~ ~ ( ~ ( in @ SY228 @ sK177_SX0 )
| ~ ! [SY229: $i] :
( ~ ( in @ SY229 @ sK177_SX0 )
| ( SY228 = SY229 )
| ( in @ SY228 @ SY229 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1488]) ).
thf(1659,plain,
( ( ( ~ ( in @ sK192_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK192_SX0 != emptyset ) )
| ~ ! [SY272: $i] :
~ ~ ( ~ ( in @ SY272 @ sK192_SX0 )
| ~ ! [SY273: $i] :
( ~ ( in @ SY273 @ sK192_SX0 )
| ( SY272 = SY273 )
| ( in @ SY272 @ SY273 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1489]) ).
thf(1660,plain,
( ( ( ~ ( in @ sK193_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK193_SX0 != emptyset ) )
| ~ ! [SY274: $i] :
~ ~ ( ~ ( in @ SY274 @ sK193_SX0 )
| ~ ! [SY275: $i] :
( ~ ( in @ SY275 @ sK193_SX0 )
| ( SY274 = SY275 )
| ( in @ SY274 @ SY275 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1490]) ).
thf(1661,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1491]) ).
thf(1662,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1663,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1664,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1494]) ).
thf(1665,plain,
( ( ( ~ ( in @ sK194_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK194_SX0 != emptyset ) )
| ~ ! [SY276: $i] :
~ ~ ( ~ ( in @ SY276 @ sK194_SX0 )
| ~ ! [SY277: $i] :
( ~ ( in @ SY277 @ sK194_SX0 )
| ( SY276 = SY277 )
| ( in @ SY276 @ SY277 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1495]) ).
thf(1666,plain,
( ( ( ~ ( in @ sK195_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK195_SX0 != emptyset ) )
| ~ ! [SY278: $i] :
~ ~ ( ~ ( in @ SY278 @ sK195_SX0 )
| ~ ! [SY279: $i] :
( ~ ( in @ SY279 @ sK195_SX0 )
| ( SY278 = SY279 )
| ( in @ SY278 @ SY279 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1496]) ).
thf(1667,plain,
( ( ( in @ sK178_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1497]) ).
thf(1668,plain,
( ( ( ~ ( ( sK178_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1669,plain,
( ( ( ~ ! [SY230: $i] :
~ ~ ( ~ ( in @ SY230 @ sK178_SX0 )
| ~ ! [SY231: $i] :
( ~ ( in @ SY231 @ sK178_SX0 )
| ( SY230 = SY231 )
| ( in @ SY230 @ SY231 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1670,plain,
( ( ( in @ sK179_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1499]) ).
thf(1671,plain,
( ( ( ~ ( ( sK179_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1672,plain,
( ( ( ~ ! [SY232: $i] :
~ ~ ( ~ ( in @ SY232 @ sK179_SX0 )
| ~ ! [SY233: $i] :
( ~ ( in @ SY233 @ sK179_SX0 )
| ( SY232 = SY233 )
| ( in @ SY232 @ SY233 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1673,plain,
( ( ( ~ ( in @ sK196_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK196_SX0 != emptyset ) )
| ~ ! [SY280: $i] :
~ ~ ( ~ ( in @ SY280 @ sK196_SX0 )
| ~ ! [SY281: $i] :
( ~ ( in @ SY281 @ sK196_SX0 )
| ( SY280 = SY281 )
| ( in @ SY280 @ SY281 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1501]) ).
thf(1674,plain,
( ( ( ~ ( in @ sK197_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK197_SX0 != emptyset ) )
| ~ ! [SY282: $i] :
~ ~ ( ~ ( in @ SY282 @ sK197_SX0 )
| ~ ! [SY283: $i] :
( ~ ( in @ SY283 @ sK197_SX0 )
| ( SY282 = SY283 )
| ( in @ SY282 @ SY283 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1502]) ).
thf(1675,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1503]) ).
thf(1676,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1677,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1505]) ).
thf(1678,plain,
( ( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ emptyset ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1679,plain,
( ( ( ~ ( in @ sK198_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK198_SX0 != emptyset ) )
| ~ ! [SY284: $i] :
~ ~ ( ~ ( in @ SY284 @ sK198_SX0 )
| ~ ! [SY285: $i] :
( ~ ( in @ SY285 @ sK198_SX0 )
| ( SY284 = SY285 )
| ( in @ SY284 @ SY285 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1507]) ).
thf(1680,plain,
( ( ( ~ ( in @ sK199_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK199_SX0 != emptyset ) )
| ~ ! [SY286: $i] :
~ ~ ( ~ ( in @ SY286 @ sK199_SX0 )
| ~ ! [SY287: $i] :
( ~ ( in @ SY287 @ sK199_SX0 )
| ( SY286 = SY287 )
| ( in @ SY286 @ SY287 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1508]) ).
thf(1681,plain,
! [SV44: $i] :
( ( ( ~ ( in @ SV44 @ sK114_SX0 )
| ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ sK114_SX0 )
| ( SV44 = SY234 )
| ( in @ SV44 @ SY234 ) ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1509]) ).
thf(1682,plain,
! [SV45: $i] :
( ( ( ~ ( in @ SV45 @ sK115_SX0 )
| ~ ! [SY235: $i] :
( ~ ( in @ SY235 @ sK115_SX0 )
| ( SV45 = SY235 )
| ( in @ SV45 @ SY235 ) ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1510]) ).
thf(1683,plain,
( ( ( sK144_SX0 = emptyset )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1684,plain,
! [SV66: $i] :
( ( ( ~ ~ ( ~ ( in @ SV66 @ sK144_SX0 )
| ~ ! [SY288: $i] :
( ~ ( in @ SY288 @ sK144_SX0 )
| ( SV66 = SY288 )
| ( in @ SV66 @ SY288 ) ) ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1512]) ).
thf(1685,plain,
( ( ( sK145_SX0 = emptyset )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1686,plain,
! [SV67: $i] :
( ( ( ~ ~ ( ~ ( in @ SV67 @ sK145_SX0 )
| ~ ! [SY289: $i] :
( ~ ( in @ SY289 @ sK145_SX0 )
| ( SV67 = SY289 )
| ( in @ SV67 @ SY289 ) ) ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1687,plain,
( ( ( ( sK168_SX0 != emptyset ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1516]) ).
thf(1688,plain,
( ( ( ! [SY196: $i] :
~ ~ ( ~ ( in @ SY196 @ sK168_SX0 )
| ~ ! [SY197: $i] :
( ~ ( in @ SY197 @ sK168_SX0 )
| ( SY196 = SY197 )
| ( in @ SY196 @ SY197 ) ) ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1517]) ).
thf(1689,plain,
( ( ( ( sK169_SX0 != emptyset ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1519]) ).
thf(1690,plain,
( ( ( ! [SY198: $i] :
~ ~ ( ~ ( in @ SY198 @ sK169_SX0 )
| ~ ! [SY199: $i] :
( ~ ( in @ SY199 @ sK169_SX0 )
| ( SY198 = SY199 )
| ( in @ SY198 @ SY199 ) ) ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1520]) ).
thf(1691,plain,
( ( ( ( sK170_SX0 != emptyset ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1522]) ).
thf(1692,plain,
( ( ( ! [SY200: $i] :
~ ~ ( ~ ( in @ SY200 @ sK170_SX0 )
| ~ ! [SY201: $i] :
( ~ ( in @ SY201 @ sK170_SX0 )
| ( SY200 = SY201 )
| ( in @ SY200 @ SY201 ) ) ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1523]) ).
thf(1693,plain,
( ( ( ( sK171_SX0 != emptyset ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1525]) ).
thf(1694,plain,
( ( ( ! [SY202: $i] :
~ ~ ( ~ ( in @ SY202 @ sK171_SX0 )
| ~ ! [SY203: $i] :
( ~ ( in @ SY203 @ sK171_SX0 )
| ( SY202 = SY203 )
| ( in @ SY202 @ SY203 ) ) ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1526]) ).
thf(1695,plain,
( ( ( sK146_SX0 = emptyset )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1696,plain,
! [SV68: $i] :
( ( ( ~ ~ ( ~ ( in @ SV68 @ sK146_SX0 )
| ~ ! [SY290: $i] :
( ~ ( in @ SY290 @ sK146_SX0 )
| ( SV68 = SY290 )
| ( in @ SV68 @ SY290 ) ) ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1528]) ).
thf(1697,plain,
( ( ( sK147_SX0 = emptyset )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1529]) ).
thf(1698,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ( in @ SV69 @ sK147_SX0 )
| ~ ! [SY291: $i] :
( ~ ( in @ SY291 @ sK147_SX0 )
| ( SV69 = SY291 )
| ( in @ SV69 @ SY291 ) ) ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1530]) ).
thf(1699,plain,
! [SV6: $i] :
( ( ( ~ ( in @ ( sK180_SY68 @ SV6 ) @ sK36_SX0 ) )
= $false )
| ( ( in @ SV6 @ sK36_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1700,plain,
! [SV6: $i] :
( ( ( ( SV6
= ( sK180_SY68 @ SV6 ) )
| ( in @ SV6 @ ( sK180_SY68 @ SV6 ) ) )
= $false )
| ( ( in @ SV6 @ sK36_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1701,plain,
! [SV7: $i] :
( ( ( ~ ( in @ ( sK181_SY69 @ SV7 ) @ sK37_SX0 ) )
= $false )
| ( ( in @ SV7 @ sK37_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1702,plain,
! [SV7: $i] :
( ( ( ( SV7
= ( sK181_SY69 @ SV7 ) )
| ( in @ SV7 @ ( sK181_SY69 @ SV7 ) ) )
= $false )
| ( ( in @ SV7 @ sK37_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1703,plain,
! [SV10: $i] :
( ( ( ! [SY120: $i] :
( ~ ( in @ SY120 @ sK56_SX0 )
| ( SV10 = SY120 )
| ( in @ SV10 @ SY120 ) ) )
= $false )
| ( ( in @ SV10 @ sK56_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1704,plain,
! [SV11: $i] :
( ( ( ! [SY121: $i] :
( ~ ( in @ SY121 @ sK57_SX0 )
| ( SV11 = SY121 )
| ( in @ SV11 @ SY121 ) ) )
= $false )
| ( ( in @ SV11 @ sK57_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1705,plain,
! [SV22: $i] :
( ( ( in @ SV22 @ sK80_SX0 )
= $false )
| ( ( ~ ! [SY164: $i] :
( ~ ( in @ SY164 @ sK80_SX0 )
| ( SV22 = SY164 )
| ( in @ SV22 @ SY164 ) ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1535]) ).
thf(1706,plain,
! [SV23: $i] :
( ( ( in @ SV23 @ sK81_SX0 )
= $false )
| ( ( ~ ! [SY165: $i] :
( ~ ( in @ SY165 @ sK81_SX0 )
| ( SV23 = SY165 )
| ( in @ SV23 @ SY165 ) ) )
= $true )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1536]) ).
thf(1707,plain,
! [SV24: $i] :
( ( ( in @ SV24 @ sK82_SX0 )
= $false )
| ( ( ~ ! [SY166: $i] :
( ~ ( in @ SY166 @ sK82_SX0 )
| ( SV24 = SY166 )
| ( in @ SV24 @ SY166 ) ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1708,plain,
! [SV25: $i] :
( ( ( in @ SV25 @ sK83_SX0 )
= $false )
| ( ( ~ ! [SY167: $i] :
( ~ ( in @ SY167 @ sK83_SX0 )
| ( SV25 = SY167 )
| ( in @ SV25 @ SY167 ) ) )
= $true )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1538]) ).
thf(1709,plain,
! [SV12: $i] :
( ( ( ! [SY122: $i] :
( ~ ( in @ SY122 @ sK58_SX0 )
| ( SV12 = SY122 )
| ( in @ SV12 @ SY122 ) ) )
= $false )
| ( ( in @ SV12 @ sK58_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1710,plain,
! [SV13: $i] :
( ( ( ! [SY123: $i] :
( ~ ( in @ SY123 @ sK59_SX0 )
| ( SV13 = SY123 )
| ( in @ SV13 @ SY123 ) ) )
= $false )
| ( ( in @ SV13 @ sK59_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1711,plain,
! [SV14: $i] :
( ( ( ! [SY124: $i] :
( ~ ( in @ SY124 @ sK60_SX0 )
| ( SV14 = SY124 )
| ( in @ SV14 @ SY124 ) ) )
= $false )
| ( ( in @ SV14 @ sK60_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1712,plain,
! [SV15: $i] :
( ( ( ! [SY125: $i] :
( ~ ( in @ SY125 @ sK61_SX0 )
| ( SV15 = SY125 )
| ( in @ SV15 @ SY125 ) ) )
= $false )
| ( ( in @ SV15 @ sK61_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1713,plain,
! [SV30: $i] :
( ( ( ~ ( in @ SV30 @ sK96_SX0 ) )
= $true )
| ( ( ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ sK96_SX0 )
| ( SV30 = SY204 )
| ( in @ SV30 @ SY204 ) ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1543]) ).
thf(1714,plain,
! [SV31: $i] :
( ( ( ~ ( in @ SV31 @ sK97_SX0 ) )
= $true )
| ( ( ~ ! [SY205: $i] :
( ~ ( in @ SY205 @ sK97_SX0 )
| ( SV31 = SY205 )
| ( in @ SV31 @ SY205 ) ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1544]) ).
thf(1715,plain,
! [SV46: $i] :
( ( ( ~ ( in @ SV46 @ sK116_SX0 )
| ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ sK116_SX0 )
| ( SV46 = SY236 )
| ( in @ SV46 @ SY236 ) ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1545]) ).
thf(1716,plain,
! [SV47: $i] :
( ( ( ~ ( in @ SV47 @ sK117_SX0 )
| ~ ! [SY237: $i] :
( ~ ( in @ SY237 @ sK117_SX0 )
| ( SV47 = SY237 )
| ( in @ SV47 @ SY237 ) ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1546]) ).
thf(1717,plain,
! [SV48: $i] :
( ( ( ~ ( in @ SV48 @ sK118_SX0 )
| ~ ! [SY238: $i] :
( ~ ( in @ SY238 @ sK118_SX0 )
| ( SV48 = SY238 )
| ( in @ SV48 @ SY238 ) ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1547]) ).
thf(1718,plain,
! [SV49: $i] :
( ( ( ~ ( in @ SV49 @ sK119_SX0 )
| ~ ! [SY239: $i] :
( ~ ( in @ SY239 @ sK119_SX0 )
| ( SV49 = SY239 )
| ( in @ SV49 @ SY239 ) ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1548]) ).
thf(1719,plain,
! [SV32: $i] :
( ( ( ~ ( in @ SV32 @ sK98_SX0 ) )
= $true )
| ( ( ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ sK98_SX0 )
| ( SV32 = SY206 )
| ( in @ SV32 @ SY206 ) ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1549]) ).
thf(1720,plain,
! [SV33: $i] :
( ( ( ~ ( in @ SV33 @ sK99_SX0 ) )
= $true )
| ( ( ~ ! [SY207: $i] :
( ~ ( in @ SY207 @ sK99_SX0 )
| ( SV33 = SY207 )
| ( in @ SV33 @ SY207 ) ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1550]) ).
thf(1721,plain,
! [SV34: $i] :
( ( ( ~ ( in @ SV34 @ sK100_SX0 ) )
= $true )
| ( ( ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ sK100_SX0 )
| ( SV34 = SY208 )
| ( in @ SV34 @ SY208 ) ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1551]) ).
thf(1722,plain,
! [SV35: $i] :
( ( ( ~ ( in @ SV35 @ sK101_SX0 ) )
= $true )
| ( ( ~ ! [SY209: $i] :
( ~ ( in @ SY209 @ sK101_SX0 )
| ( SV35 = SY209 )
| ( in @ SV35 @ SY209 ) ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1552]) ).
thf(1723,plain,
! [SV54: $i] :
( ( ( ~ ( ~ ( in @ SV54 @ sK124_SX0 )
| ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ sK124_SX0 )
| ( SV54 = SY244 )
| ( in @ SV54 @ SY244 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1554]) ).
thf(1724,plain,
! [SV55: $i] :
( ( ( ~ ( ~ ( in @ SV55 @ sK125_SX0 )
| ~ ! [SY245: $i] :
( ~ ( in @ SY245 @ sK125_SX0 )
| ( SV55 = SY245 )
| ( in @ SV55 @ SY245 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1725,plain,
( ( ( sK148_SX0 = emptyset )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1726,plain,
! [SV70: $i] :
( ( ( ~ ~ ( ~ ( in @ SV70 @ sK148_SX0 )
| ~ ! [SY292: $i] :
( ~ ( in @ SY292 @ sK148_SX0 )
| ( SV70 = SY292 )
| ( in @ SV70 @ SY292 ) ) ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1558]) ).
thf(1727,plain,
( ( ( sK149_SX0 = emptyset )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1728,plain,
! [SV71: $i] :
( ( ( ~ ~ ( ~ ( in @ SV71 @ sK149_SX0 )
| ~ ! [SY293: $i] :
( ~ ( in @ SY293 @ sK149_SX0 )
| ( SV71 = SY293 )
| ( in @ SV71 @ SY293 ) ) ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1560]) ).
thf(1729,plain,
( ( ( sK150_SX0 = emptyset )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1561]) ).
thf(1730,plain,
! [SV72: $i] :
( ( ( ~ ~ ( ~ ( in @ SV72 @ sK150_SX0 )
| ~ ! [SY294: $i] :
( ~ ( in @ SY294 @ sK150_SX0 )
| ( SV72 = SY294 )
| ( in @ SV72 @ SY294 ) ) ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1562]) ).
thf(1731,plain,
( ( ( sK151_SX0 = emptyset )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1732,plain,
! [SV73: $i] :
( ( ( ~ ~ ( ~ ( in @ SV73 @ sK151_SX0 )
| ~ ! [SY295: $i] :
( ~ ( in @ SY295 @ sK151_SX0 )
| ( SV73 = SY295 )
| ( in @ SV73 @ SY295 ) ) ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1564]) ).
thf(1733,plain,
! [SV56: $i] :
( ( ( ~ ( ~ ( in @ SV56 @ sK126_SX0 )
| ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ sK126_SX0 )
| ( SV56 = SY246 )
| ( in @ SV56 @ SY246 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1734,plain,
! [SV57: $i] :
( ( ( ~ ( ~ ( in @ SV57 @ sK127_SX0 )
| ~ ! [SY247: $i] :
( ~ ( in @ SY247 @ sK127_SX0 )
| ( SV57 = SY247 )
| ( in @ SV57 @ SY247 ) ) ) )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1735,plain,
( ( ( ( sK172_SX0 != emptyset ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1570]) ).
thf(1736,plain,
( ( ( ! [SY210: $i] :
~ ~ ( ~ ( in @ SY210 @ sK172_SX0 )
| ~ ! [SY211: $i] :
( ~ ( in @ SY211 @ sK172_SX0 )
| ( SY210 = SY211 )
| ( in @ SY210 @ SY211 ) ) ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1737,plain,
( ( ( ( sK173_SX0 != emptyset ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1573]) ).
thf(1738,plain,
( ( ( ! [SY212: $i] :
~ ~ ( ~ ( in @ SY212 @ sK173_SX0 )
| ~ ! [SY213: $i] :
( ~ ( in @ SY213 @ sK173_SX0 )
| ( SY212 = SY213 )
| ( in @ SY212 @ SY213 ) ) ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1574]) ).
thf(1739,plain,
( ( ( ~ ( in @ sK182_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1575]) ).
thf(1740,plain,
( ( ( ~ ( ( sK182_SX0 != emptyset ) )
| ~ ! [SY248: $i] :
~ ~ ( ~ ( in @ SY248 @ sK182_SX0 )
| ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ sK182_SX0 )
| ( SY248 = SY249 )
| ( in @ SY248 @ SY249 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1575]) ).
thf(1741,plain,
( ( ( ~ ( in @ sK183_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1576]) ).
thf(1742,plain,
( ( ( ~ ( ( sK183_SX0 != emptyset ) )
| ~ ! [SY250: $i] :
~ ~ ( ~ ( in @ SY250 @ sK183_SX0 )
| ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ sK183_SX0 )
| ( SY250 = SY251 )
| ( in @ SY250 @ SY251 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1576]) ).
thf(1743,plain,
( ( ( ~ ( in @ sK200_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK200_SX0 != emptyset ) )
| ~ ! [SY296: $i] :
~ ~ ( ~ ( in @ SY296 @ sK200_SX0 )
| ~ ! [SY297: $i] :
( ~ ( in @ SY297 @ sK200_SX0 )
| ( SY296 = SY297 )
| ( in @ SY296 @ SY297 ) ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1577]) ).
thf(1744,plain,
( ( ( ~ ( in @ sK201_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK201_SX0 != emptyset ) )
| ~ ! [SY298: $i] :
~ ~ ( ~ ( in @ SY298 @ sK201_SX0 )
| ~ ! [SY299: $i] :
( ~ ( in @ SY299 @ sK201_SX0 )
| ( SY298 = SY299 )
| ( in @ SY298 @ SY299 ) ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1578]) ).
thf(1745,plain,
( ( ( ~ ( in @ sK202_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK202_SX0 != emptyset ) )
| ~ ! [SY300: $i] :
~ ~ ( ~ ( in @ SY300 @ sK202_SX0 )
| ~ ! [SY301: $i] :
( ~ ( in @ SY301 @ sK202_SX0 )
| ( SY300 = SY301 )
| ( in @ SY300 @ SY301 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1579]) ).
thf(1746,plain,
( ( ( ~ ( in @ sK203_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK203_SX0 != emptyset ) )
| ~ ! [SY302: $i] :
~ ~ ( ~ ( in @ SY302 @ sK203_SX0 )
| ~ ! [SY303: $i] :
( ~ ( in @ SY303 @ sK203_SX0 )
| ( SY302 = SY303 )
| ( in @ SY302 @ SY303 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1580]) ).
thf(1747,plain,
( ( ( ~ ( in @ sK184_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1748,plain,
( ( ( ~ ( ( sK184_SX0 != emptyset ) )
| ~ ! [SY252: $i] :
~ ~ ( ~ ( in @ SY252 @ sK184_SX0 )
| ~ ! [SY253: $i] :
( ~ ( in @ SY253 @ sK184_SX0 )
| ( SY252 = SY253 )
| ( in @ SY252 @ SY253 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1749,plain,
( ( ( ~ ( in @ sK185_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1582]) ).
thf(1750,plain,
( ( ( ~ ( ( sK185_SX0 != emptyset ) )
| ~ ! [SY254: $i] :
~ ~ ( ~ ( in @ SY254 @ sK185_SX0 )
| ~ ! [SY255: $i] :
( ~ ( in @ SY255 @ sK185_SX0 )
| ( SY254 = SY255 )
| ( in @ SY254 @ SY255 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1582]) ).
thf(1751,plain,
( ( ( ( sK174_SX0 != emptyset ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1584]) ).
thf(1752,plain,
( ( ( ! [SY214: $i] :
~ ~ ( ~ ( in @ SY214 @ sK174_SX0 )
| ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ sK174_SX0 )
| ( SY214 = SY215 )
| ( in @ SY214 @ SY215 ) ) ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1585]) ).
thf(1753,plain,
( ( ( ( sK175_SX0 != emptyset ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1587]) ).
thf(1754,plain,
( ( ( ! [SY216: $i] :
~ ~ ( ~ ( in @ SY216 @ sK175_SX0 )
| ~ ! [SY217: $i] :
( ~ ( in @ SY217 @ sK175_SX0 )
| ( SY216 = SY217 )
| ( in @ SY216 @ SY217 ) ) ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1588]) ).
thf(1755,plain,
( ( ( ~ ( in @ sK186_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1589]) ).
thf(1756,plain,
( ( ( ~ ( ( sK186_SX0 != emptyset ) )
| ~ ! [SY256: $i] :
~ ~ ( ~ ( in @ SY256 @ sK186_SX0 )
| ~ ! [SY257: $i] :
( ~ ( in @ SY257 @ sK186_SX0 )
| ( SY256 = SY257 )
| ( in @ SY256 @ SY257 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1589]) ).
thf(1757,plain,
( ( ( ~ ( in @ sK187_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1590]) ).
thf(1758,plain,
( ( ( ~ ( ( sK187_SX0 != emptyset ) )
| ~ ! [SY258: $i] :
~ ~ ( ~ ( in @ SY258 @ sK187_SX0 )
| ~ ! [SY259: $i] :
( ~ ( in @ SY259 @ sK187_SX0 )
| ( SY258 = SY259 )
| ( in @ SY258 @ SY259 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1590]) ).
thf(1759,plain,
( ( ( ~ ( in @ sK204_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK204_SX0 != emptyset ) )
| ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ sK204_SX0 )
| ~ ! [SY305: $i] :
( ~ ( in @ SY305 @ sK204_SX0 )
| ( SY304 = SY305 )
| ( in @ SY304 @ SY305 ) ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1591]) ).
thf(1760,plain,
( ( ( ~ ( in @ sK205_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK205_SX0 != emptyset ) )
| ~ ! [SY306: $i] :
~ ~ ( ~ ( in @ SY306 @ sK205_SX0 )
| ~ ! [SY307: $i] :
( ~ ( in @ SY307 @ sK205_SX0 )
| ( SY306 = SY307 )
| ( in @ SY306 @ SY307 ) ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1592]) ).
thf(1761,plain,
( ( ( ~ ( in @ sK206_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK206_SX0 != emptyset ) )
| ~ ! [SY308: $i] :
~ ~ ( ~ ( in @ SY308 @ sK206_SX0 )
| ~ ! [SY309: $i] :
( ~ ( in @ SY309 @ sK206_SX0 )
| ( SY308 = SY309 )
| ( in @ SY308 @ SY309 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1593]) ).
thf(1762,plain,
( ( ( ~ ( in @ sK207_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK207_SX0 != emptyset ) )
| ~ ! [SY310: $i] :
~ ~ ( ~ ( in @ SY310 @ sK207_SX0 )
| ~ ! [SY311: $i] :
( ~ ( in @ SY311 @ sK207_SX0 )
| ( SY310 = SY311 )
| ( in @ SY310 @ SY311 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1594]) ).
thf(1763,plain,
( ( ( ~ ( in @ sK188_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1595]) ).
thf(1764,plain,
( ( ( ~ ( ( sK188_SX0 != emptyset ) )
| ~ ! [SY260: $i] :
~ ~ ( ~ ( in @ SY260 @ sK188_SX0 )
| ~ ! [SY261: $i] :
( ~ ( in @ SY261 @ sK188_SX0 )
| ( SY260 = SY261 )
| ( in @ SY260 @ SY261 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1595]) ).
thf(1765,plain,
( ( ( ~ ( in @ sK189_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1596]) ).
thf(1766,plain,
( ( ( ~ ( ( sK189_SX0 != emptyset ) )
| ~ ! [SY262: $i] :
~ ~ ( ~ ( in @ SY262 @ sK189_SX0 )
| ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ sK189_SX0 )
| ( SY262 = SY263 )
| ( in @ SY262 @ SY263 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1596]) ).
thf(1767,plain,
! [SV36: $i] :
( ( ( ~ ( in @ SV36 @ sK104_SX0 ) )
= $true )
| ( ( ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ sK104_SX0 )
| ( SV36 = SY218 )
| ( in @ SV36 @ SY218 ) ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1597]) ).
thf(1768,plain,
! [SV37: $i] :
( ( ( ~ ( in @ SV37 @ sK105_SX0 ) )
= $true )
| ( ( ~ ! [SY219: $i] :
( ~ ( in @ SY219 @ sK105_SX0 )
| ( SV37 = SY219 )
| ( in @ SV37 @ SY219 ) ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1598]) ).
thf(1769,plain,
! [SV58: $i] :
( ( ( ~ ( ~ ( in @ SV58 @ sK132_SX0 )
| ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ sK132_SX0 )
| ( SV58 = SY264 )
| ( in @ SV58 @ SY264 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1770,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ( in @ SV59 @ sK133_SX0 )
| ~ ! [SY265: $i] :
( ~ ( in @ SY265 @ sK133_SX0 )
| ( SV59 = SY265 )
| ( in @ SV59 @ SY265 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1602]) ).
thf(1771,plain,
( ( ( sK156_SX0 = emptyset )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1603]) ).
thf(1772,plain,
! [SV74: $i] :
( ( ( ~ ~ ( ~ ( in @ SV74 @ sK156_SX0 )
| ~ ! [SY312: $i] :
( ~ ( in @ SY312 @ sK156_SX0 )
| ( SV74 = SY312 )
| ( in @ SV74 @ SY312 ) ) ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(1773,plain,
( ( ( sK157_SX0 = emptyset )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1605]) ).
thf(1774,plain,
! [SV75: $i] :
( ( ( ~ ~ ( ~ ( in @ SV75 @ sK157_SX0 )
| ~ ! [SY313: $i] :
( ~ ( in @ SY313 @ sK157_SX0 )
| ( SV75 = SY313 )
| ( in @ SV75 @ SY313 ) ) ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1606]) ).
thf(1775,plain,
( ( ( sK158_SX0 = emptyset )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1607]) ).
thf(1776,plain,
! [SV76: $i] :
( ( ( ~ ~ ( ~ ( in @ SV76 @ sK158_SX0 )
| ~ ! [SY314: $i] :
( ~ ( in @ SY314 @ sK158_SX0 )
| ( SV76 = SY314 )
| ( in @ SV76 @ SY314 ) ) ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(1777,plain,
( ( ( sK159_SX0 = emptyset )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1778,plain,
! [SV77: $i] :
( ( ( ~ ~ ( ~ ( in @ SV77 @ sK159_SX0 )
| ~ ! [SY315: $i] :
( ~ ( in @ SY315 @ sK159_SX0 )
| ( SV77 = SY315 )
| ( in @ SV77 @ SY315 ) ) ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1610]) ).
thf(1779,plain,
! [SV60: $i] :
( ( ( ~ ( ~ ( in @ SV60 @ sK134_SX0 )
| ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ sK134_SX0 )
| ( SV60 = SY266 )
| ( in @ SV60 @ SY266 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1780,plain,
! [SV61: $i] :
( ( ( ~ ( ~ ( in @ SV61 @ sK135_SX0 )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ sK135_SX0 )
| ( SV61 = SY267 )
| ( in @ SV61 @ SY267 ) ) ) )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1781,plain,
! [SV8: $i] :
( ( ( ~ ( in @ ( sK190_SY86 @ SV8 ) @ sK44_SX0 ) )
= $false )
| ( ( in @ SV8 @ sK44_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1615]) ).
thf(1782,plain,
! [SV8: $i] :
( ( ( ( SV8
= ( sK190_SY86 @ SV8 ) )
| ( in @ SV8 @ ( sK190_SY86 @ SV8 ) ) )
= $false )
| ( ( in @ SV8 @ sK44_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1615]) ).
thf(1783,plain,
! [SV9: $i] :
( ( ( ~ ( in @ ( sK191_SY87 @ SV9 ) @ sK45_SX0 ) )
= $false )
| ( ( in @ SV9 @ sK45_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1784,plain,
! [SV9: $i] :
( ( ( ( SV9
= ( sK191_SY87 @ SV9 ) )
| ( in @ SV9 @ ( sK191_SY87 @ SV9 ) ) )
= $false )
| ( ( in @ SV9 @ sK45_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1785,plain,
! [SV16: $i] :
( ( ( ! [SY142: $i] :
( ~ ( in @ SY142 @ sK68_SX0 )
| ( SV16 = SY142 )
| ( in @ SV16 @ SY142 ) ) )
= $false )
| ( ( in @ SV16 @ sK68_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1617]) ).
thf(1786,plain,
! [SV17: $i] :
( ( ( ! [SY143: $i] :
( ~ ( in @ SY143 @ sK69_SX0 )
| ( SV17 = SY143 )
| ( in @ SV17 @ SY143 ) ) )
= $false )
| ( ( in @ SV17 @ sK69_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1787,plain,
! [SV26: $i] :
( ( ( in @ SV26 @ sK88_SX0 )
= $false )
| ( ( ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ sK88_SX0 )
| ( SV26 = SY184 )
| ( in @ SV26 @ SY184 ) ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1619]) ).
thf(1788,plain,
! [SV27: $i] :
( ( ( in @ SV27 @ sK89_SX0 )
= $false )
| ( ( ~ ! [SY185: $i] :
( ~ ( in @ SY185 @ sK89_SX0 )
| ( SV27 = SY185 )
| ( in @ SV27 @ SY185 ) ) )
= $true )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1620]) ).
thf(1789,plain,
! [SV28: $i] :
( ( ( in @ SV28 @ sK90_SX0 )
= $false )
| ( ( ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ sK90_SX0 )
| ( SV28 = SY186 )
| ( in @ SV28 @ SY186 ) ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1621]) ).
thf(1790,plain,
! [SV29: $i] :
( ( ( in @ SV29 @ sK91_SX0 )
= $false )
| ( ( ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ sK91_SX0 )
| ( SV29 = SY187 )
| ( in @ SV29 @ SY187 ) ) )
= $true )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1791,plain,
! [SV18: $i] :
( ( ( ! [SY144: $i] :
( ~ ( in @ SY144 @ sK70_SX0 )
| ( SV18 = SY144 )
| ( in @ SV18 @ SY144 ) ) )
= $false )
| ( ( in @ SV18 @ sK70_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1623]) ).
thf(1792,plain,
! [SV19: $i] :
( ( ( ! [SY145: $i] :
( ~ ( in @ SY145 @ sK71_SX0 )
| ( SV19 = SY145 )
| ( in @ SV19 @ SY145 ) ) )
= $false )
| ( ( in @ SV19 @ sK71_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1624]) ).
thf(1793,plain,
! [SV20: $i] :
( ( ( ! [SY146: $i] :
( ~ ( in @ SY146 @ sK72_SX0 )
| ( SV20 = SY146 )
| ( in @ SV20 @ SY146 ) ) )
= $false )
| ( ( in @ SV20 @ sK72_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1625]) ).
thf(1794,plain,
! [SV21: $i] :
( ( ( ! [SY147: $i] :
( ~ ( in @ SY147 @ sK73_SX0 )
| ( SV21 = SY147 )
| ( in @ SV21 @ SY147 ) ) )
= $false )
| ( ( in @ SV21 @ sK73_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1626]) ).
thf(1795,plain,
! [SV38: $i] :
( ( ( ~ ( in @ SV38 @ sK106_SX0 ) )
= $true )
| ( ( ~ ! [SY220: $i] :
( ~ ( in @ SY220 @ sK106_SX0 )
| ( SV38 = SY220 )
| ( in @ SV38 @ SY220 ) ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1627]) ).
thf(1796,plain,
! [SV39: $i] :
( ( ( ~ ( in @ SV39 @ sK107_SX0 ) )
= $true )
| ( ( ~ ! [SY221: $i] :
( ~ ( in @ SY221 @ sK107_SX0 )
| ( SV39 = SY221 )
| ( in @ SV39 @ SY221 ) ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1628]) ).
thf(1797,plain,
! [SV50: $i] :
( ( ( ~ ( in @ SV50 @ sK120_SX0 )
| ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ sK120_SX0 )
| ( SV50 = SY240 )
| ( in @ SV50 @ SY240 ) ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1629]) ).
thf(1798,plain,
! [SV51: $i] :
( ( ( ~ ( in @ SV51 @ sK121_SX0 )
| ~ ! [SY241: $i] :
( ~ ( in @ SY241 @ sK121_SX0 )
| ( SV51 = SY241 )
| ( in @ SV51 @ SY241 ) ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1630]) ).
thf(1799,plain,
! [SV52: $i] :
( ( ( ~ ( in @ SV52 @ sK122_SX0 )
| ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ sK122_SX0 )
| ( SV52 = SY242 )
| ( in @ SV52 @ SY242 ) ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1631]) ).
thf(1800,plain,
! [SV53: $i] :
( ( ( ~ ( in @ SV53 @ sK123_SX0 )
| ~ ! [SY243: $i] :
( ~ ( in @ SY243 @ sK123_SX0 )
| ( SV53 = SY243 )
| ( in @ SV53 @ SY243 ) ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1632]) ).
thf(1801,plain,
! [SV40: $i] :
( ( ( ~ ( in @ SV40 @ sK108_SX0 ) )
= $true )
| ( ( ~ ! [SY222: $i] :
( ~ ( in @ SY222 @ sK108_SX0 )
| ( SV40 = SY222 )
| ( in @ SV40 @ SY222 ) ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1633]) ).
thf(1802,plain,
! [SV41: $i] :
( ( ( ~ ( in @ SV41 @ sK109_SX0 ) )
= $true )
| ( ( ~ ! [SY223: $i] :
( ~ ( in @ SY223 @ sK109_SX0 )
| ( SV41 = SY223 )
| ( in @ SV41 @ SY223 ) ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1634]) ).
thf(1803,plain,
! [SV42: $i] :
( ( ( ~ ( in @ SV42 @ sK110_SX0 ) )
= $true )
| ( ( ~ ! [SY224: $i] :
( ~ ( in @ SY224 @ sK110_SX0 )
| ( SV42 = SY224 )
| ( in @ SV42 @ SY224 ) ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1635]) ).
thf(1804,plain,
! [SV43: $i] :
( ( ( ~ ( in @ SV43 @ sK111_SX0 ) )
= $true )
| ( ( ~ ! [SY225: $i] :
( ~ ( in @ SY225 @ sK111_SX0 )
| ( SV43 = SY225 )
| ( in @ SV43 @ SY225 ) ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1636]) ).
thf(1805,plain,
! [SV62: $i] :
( ( ( ~ ( ~ ( in @ SV62 @ sK136_SX0 )
| ~ ! [SY268: $i] :
( ~ ( in @ SY268 @ sK136_SX0 )
| ( SV62 = SY268 )
| ( in @ SV62 @ SY268 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1638]) ).
thf(1806,plain,
! [SV63: $i] :
( ( ( ~ ( ~ ( in @ SV63 @ sK137_SX0 )
| ~ ! [SY269: $i] :
( ~ ( in @ SY269 @ sK137_SX0 )
| ( SV63 = SY269 )
| ( in @ SV63 @ SY269 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1640]) ).
thf(1807,plain,
( ( ( sK160_SX0 = emptyset )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1641]) ).
thf(1808,plain,
! [SV78: $i] :
( ( ( ~ ~ ( ~ ( in @ SV78 @ sK160_SX0 )
| ~ ! [SY316: $i] :
( ~ ( in @ SY316 @ sK160_SX0 )
| ( SV78 = SY316 )
| ( in @ SV78 @ SY316 ) ) ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1642]) ).
thf(1809,plain,
( ( ( sK161_SX0 = emptyset )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1643]) ).
thf(1810,plain,
! [SV79: $i] :
( ( ( ~ ~ ( ~ ( in @ SV79 @ sK161_SX0 )
| ~ ! [SY317: $i] :
( ~ ( in @ SY317 @ sK161_SX0 )
| ( SV79 = SY317 )
| ( in @ SV79 @ SY317 ) ) ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(1811,plain,
( ( ( sK162_SX0 = emptyset )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1812,plain,
! [SV80: $i] :
( ( ( ~ ~ ( ~ ( in @ SV80 @ sK162_SX0 )
| ~ ! [SY318: $i] :
( ~ ( in @ SY318 @ sK162_SX0 )
| ( SV80 = SY318 )
| ( in @ SV80 @ SY318 ) ) ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1646]) ).
thf(1813,plain,
( ( ( sK163_SX0 = emptyset )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1647]) ).
thf(1814,plain,
! [SV81: $i] :
( ( ( ~ ~ ( ~ ( in @ SV81 @ sK163_SX0 )
| ~ ! [SY319: $i] :
( ~ ( in @ SY319 @ sK163_SX0 )
| ( SV81 = SY319 )
| ( in @ SV81 @ SY319 ) ) ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1648]) ).
thf(1815,plain,
! [SV64: $i] :
( ( ( ~ ( ~ ( in @ SV64 @ sK138_SX0 )
| ~ ! [SY270: $i] :
( ~ ( in @ SY270 @ sK138_SX0 )
| ( SV64 = SY270 )
| ( in @ SV64 @ SY270 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1650]) ).
thf(1816,plain,
! [SV65: $i] :
( ( ( ~ ( ~ ( in @ SV65 @ sK139_SX0 )
| ~ ! [SY271: $i] :
( ~ ( in @ SY271 @ sK139_SX0 )
| ( SV65 = SY271 )
| ( in @ SV65 @ SY271 ) ) ) )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1817,plain,
( ( ( ( sK176_SX0 != emptyset ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1654]) ).
thf(1818,plain,
( ( ( ! [SY226: $i] :
~ ~ ( ~ ( in @ SY226 @ sK176_SX0 )
| ~ ! [SY227: $i] :
( ~ ( in @ SY227 @ sK176_SX0 )
| ( SY226 = SY227 )
| ( in @ SY226 @ SY227 ) ) ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1655]) ).
thf(1819,plain,
( ( ( ( sK177_SX0 != emptyset ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1657]) ).
thf(1820,plain,
( ( ( ! [SY228: $i] :
~ ~ ( ~ ( in @ SY228 @ sK177_SX0 )
| ~ ! [SY229: $i] :
( ~ ( in @ SY229 @ sK177_SX0 )
| ( SY228 = SY229 )
| ( in @ SY228 @ SY229 ) ) ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1658]) ).
thf(1821,plain,
( ( ( ~ ( in @ sK192_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1659]) ).
thf(1822,plain,
( ( ( ~ ( ( sK192_SX0 != emptyset ) )
| ~ ! [SY272: $i] :
~ ~ ( ~ ( in @ SY272 @ sK192_SX0 )
| ~ ! [SY273: $i] :
( ~ ( in @ SY273 @ sK192_SX0 )
| ( SY272 = SY273 )
| ( in @ SY272 @ SY273 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1659]) ).
thf(1823,plain,
( ( ( ~ ( in @ sK193_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1660]) ).
thf(1824,plain,
( ( ( ~ ( ( sK193_SX0 != emptyset ) )
| ~ ! [SY274: $i] :
~ ~ ( ~ ( in @ SY274 @ sK193_SX0 )
| ~ ! [SY275: $i] :
( ~ ( in @ SY275 @ sK193_SX0 )
| ( SY274 = SY275 )
| ( in @ SY274 @ SY275 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1660]) ).
thf(1825,plain,
( ( ( ~ ( in @ sK208_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK208_SX0 != emptyset ) )
| ~ ! [SY320: $i] :
~ ~ ( ~ ( in @ SY320 @ sK208_SX0 )
| ~ ! [SY321: $i] :
( ~ ( in @ SY321 @ sK208_SX0 )
| ( SY320 = SY321 )
| ( in @ SY320 @ SY321 ) ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1661]) ).
thf(1826,plain,
( ( ( ~ ( in @ sK209_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK209_SX0 != emptyset ) )
| ~ ! [SY322: $i] :
~ ~ ( ~ ( in @ SY322 @ sK209_SX0 )
| ~ ! [SY323: $i] :
( ~ ( in @ SY323 @ sK209_SX0 )
| ( SY322 = SY323 )
| ( in @ SY322 @ SY323 ) ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1662]) ).
thf(1827,plain,
( ( ( ~ ( in @ sK210_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK210_SX0 != emptyset ) )
| ~ ! [SY324: $i] :
~ ~ ( ~ ( in @ SY324 @ sK210_SX0 )
| ~ ! [SY325: $i] :
( ~ ( in @ SY325 @ sK210_SX0 )
| ( SY324 = SY325 )
| ( in @ SY324 @ SY325 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1663]) ).
thf(1828,plain,
( ( ( ~ ( in @ sK211_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK211_SX0 != emptyset ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( in @ SY326 @ sK211_SX0 )
| ~ ! [SY327: $i] :
( ~ ( in @ SY327 @ sK211_SX0 )
| ( SY326 = SY327 )
| ( in @ SY326 @ SY327 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1664]) ).
thf(1829,plain,
( ( ( ~ ( in @ sK194_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1665]) ).
thf(1830,plain,
( ( ( ~ ( ( sK194_SX0 != emptyset ) )
| ~ ! [SY276: $i] :
~ ~ ( ~ ( in @ SY276 @ sK194_SX0 )
| ~ ! [SY277: $i] :
( ~ ( in @ SY277 @ sK194_SX0 )
| ( SY276 = SY277 )
| ( in @ SY276 @ SY277 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1665]) ).
thf(1831,plain,
( ( ( ~ ( in @ sK195_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1666]) ).
thf(1832,plain,
( ( ( ~ ( ( sK195_SX0 != emptyset ) )
| ~ ! [SY278: $i] :
~ ~ ( ~ ( in @ SY278 @ sK195_SX0 )
| ~ ! [SY279: $i] :
( ~ ( in @ SY279 @ sK195_SX0 )
| ( SY278 = SY279 )
| ( in @ SY278 @ SY279 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1666]) ).
thf(1833,plain,
( ( ( ( sK178_SX0 != emptyset ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1668]) ).
thf(1834,plain,
( ( ( ! [SY230: $i] :
~ ~ ( ~ ( in @ SY230 @ sK178_SX0 )
| ~ ! [SY231: $i] :
( ~ ( in @ SY231 @ sK178_SX0 )
| ( SY230 = SY231 )
| ( in @ SY230 @ SY231 ) ) ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1669]) ).
thf(1835,plain,
( ( ( ( sK179_SX0 != emptyset ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1671]) ).
thf(1836,plain,
( ( ( ! [SY232: $i] :
~ ~ ( ~ ( in @ SY232 @ sK179_SX0 )
| ~ ! [SY233: $i] :
( ~ ( in @ SY233 @ sK179_SX0 )
| ( SY232 = SY233 )
| ( in @ SY232 @ SY233 ) ) ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1672]) ).
thf(1837,plain,
( ( ( ~ ( in @ sK196_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1838,plain,
( ( ( ~ ( ( sK196_SX0 != emptyset ) )
| ~ ! [SY280: $i] :
~ ~ ( ~ ( in @ SY280 @ sK196_SX0 )
| ~ ! [SY281: $i] :
( ~ ( in @ SY281 @ sK196_SX0 )
| ( SY280 = SY281 )
| ( in @ SY280 @ SY281 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1839,plain,
( ( ( ~ ( in @ sK197_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1674]) ).
thf(1840,plain,
( ( ( ~ ( ( sK197_SX0 != emptyset ) )
| ~ ! [SY282: $i] :
~ ~ ( ~ ( in @ SY282 @ sK197_SX0 )
| ~ ! [SY283: $i] :
( ~ ( in @ SY283 @ sK197_SX0 )
| ( SY282 = SY283 )
| ( in @ SY282 @ SY283 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1674]) ).
thf(1841,plain,
( ( ( ~ ( in @ sK212_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK212_SX0 != emptyset ) )
| ~ ! [SY328: $i] :
~ ~ ( ~ ( in @ SY328 @ sK212_SX0 )
| ~ ! [SY329: $i] :
( ~ ( in @ SY329 @ sK212_SX0 )
| ( SY328 = SY329 )
| ( in @ SY328 @ SY329 ) ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1675]) ).
thf(1842,plain,
( ( ( ~ ( in @ sK213_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK213_SX0 != emptyset ) )
| ~ ! [SY330: $i] :
~ ~ ( ~ ( in @ SY330 @ sK213_SX0 )
| ~ ! [SY331: $i] :
( ~ ( in @ SY331 @ sK213_SX0 )
| ( SY330 = SY331 )
| ( in @ SY330 @ SY331 ) ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1676]) ).
thf(1843,plain,
( ( ( ~ ( in @ sK214_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK214_SX0 != emptyset ) )
| ~ ! [SY332: $i] :
~ ~ ( ~ ( in @ SY332 @ sK214_SX0 )
| ~ ! [SY333: $i] :
( ~ ( in @ SY333 @ sK214_SX0 )
| ( SY332 = SY333 )
| ( in @ SY332 @ SY333 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1677]) ).
thf(1844,plain,
( ( ( ~ ( in @ sK215_SX0 @ ( powerset @ emptyset ) )
| ~ ( ( sK215_SX0 != emptyset ) )
| ~ ! [SY334: $i] :
~ ~ ( ~ ( in @ SY334 @ sK215_SX0 )
| ~ ! [SY335: $i] :
( ~ ( in @ SY335 @ sK215_SX0 )
| ( SY334 = SY335 )
| ( in @ SY334 @ SY335 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1678]) ).
thf(1845,plain,
( ( ( ~ ( in @ sK198_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1846,plain,
( ( ( ~ ( ( sK198_SX0 != emptyset ) )
| ~ ! [SY284: $i] :
~ ~ ( ~ ( in @ SY284 @ sK198_SX0 )
| ~ ! [SY285: $i] :
( ~ ( in @ SY285 @ sK198_SX0 )
| ( SY284 = SY285 )
| ( in @ SY284 @ SY285 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1847,plain,
( ( ( ~ ( in @ sK199_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1680]) ).
thf(1848,plain,
( ( ( ~ ( ( sK199_SX0 != emptyset ) )
| ~ ! [SY286: $i] :
~ ~ ( ~ ( in @ SY286 @ sK199_SX0 )
| ~ ! [SY287: $i] :
( ~ ( in @ SY287 @ sK199_SX0 )
| ( SY286 = SY287 )
| ( in @ SY286 @ SY287 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1680]) ).
thf(1849,plain,
! [SV44: $i] :
( ( ( ~ ( in @ SV44 @ sK114_SX0 ) )
= $true )
| ( ( ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ sK114_SX0 )
| ( SV44 = SY234 )
| ( in @ SV44 @ SY234 ) ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1681]) ).
thf(1850,plain,
! [SV45: $i] :
( ( ( ~ ( in @ SV45 @ sK115_SX0 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
( ~ ( in @ SY235 @ sK115_SX0 )
| ( SV45 = SY235 )
| ( in @ SV45 @ SY235 ) ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1682]) ).
thf(1851,plain,
! [SV66: $i] :
( ( ( ~ ( ~ ( in @ SV66 @ sK144_SX0 )
| ~ ! [SY288: $i] :
( ~ ( in @ SY288 @ sK144_SX0 )
| ( SV66 = SY288 )
| ( in @ SV66 @ SY288 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1852,plain,
! [SV67: $i] :
( ( ( ~ ( ~ ( in @ SV67 @ sK145_SX0 )
| ~ ! [SY289: $i] :
( ~ ( in @ SY289 @ sK145_SX0 )
| ( SV67 = SY289 )
| ( in @ SV67 @ SY289 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1686]) ).
thf(1853,plain,
( ( ( sK168_SX0 = emptyset )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1687]) ).
thf(1854,plain,
! [SV82: $i] :
( ( ( ~ ~ ( ~ ( in @ SV82 @ sK168_SX0 )
| ~ ! [SY336: $i] :
( ~ ( in @ SY336 @ sK168_SX0 )
| ( SV82 = SY336 )
| ( in @ SV82 @ SY336 ) ) ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1688]) ).
thf(1855,plain,
( ( ( sK169_SX0 = emptyset )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1689]) ).
thf(1856,plain,
! [SV83: $i] :
( ( ( ~ ~ ( ~ ( in @ SV83 @ sK169_SX0 )
| ~ ! [SY337: $i] :
( ~ ( in @ SY337 @ sK169_SX0 )
| ( SV83 = SY337 )
| ( in @ SV83 @ SY337 ) ) ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1690]) ).
thf(1857,plain,
( ( ( sK170_SX0 = emptyset )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1691]) ).
thf(1858,plain,
! [SV84: $i] :
( ( ( ~ ~ ( ~ ( in @ SV84 @ sK170_SX0 )
| ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ sK170_SX0 )
| ( SV84 = SY338 )
| ( in @ SV84 @ SY338 ) ) ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(1859,plain,
( ( ( sK171_SX0 = emptyset )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1860,plain,
! [SV85: $i] :
( ( ( ~ ~ ( ~ ( in @ SV85 @ sK171_SX0 )
| ~ ! [SY339: $i] :
( ~ ( in @ SY339 @ sK171_SX0 )
| ( SV85 = SY339 )
| ( in @ SV85 @ SY339 ) ) ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1694]) ).
thf(1861,plain,
! [SV68: $i] :
( ( ( ~ ( ~ ( in @ SV68 @ sK146_SX0 )
| ~ ! [SY290: $i] :
( ~ ( in @ SY290 @ sK146_SX0 )
| ( SV68 = SY290 )
| ( in @ SV68 @ SY290 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1696]) ).
thf(1862,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ( in @ SV69 @ sK147_SX0 )
| ~ ! [SY291: $i] :
( ~ ( in @ SY291 @ sK147_SX0 )
| ( SV69 = SY291 )
| ( in @ SV69 @ SY291 ) ) ) )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1698]) ).
thf(1863,plain,
! [SV6: $i] :
( ( ( in @ ( sK180_SY68 @ SV6 ) @ sK36_SX0 )
= $true )
| ( ( in @ SV6 @ sK36_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1699]) ).
thf(1864,plain,
! [SV6: $i] :
( ( ( SV6
= ( sK180_SY68 @ SV6 ) )
= $false )
| ( ( in @ SV6 @ sK36_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1700]) ).
thf(1865,plain,
! [SV6: $i] :
( ( ( in @ SV6 @ ( sK180_SY68 @ SV6 ) )
= $false )
| ( ( in @ SV6 @ sK36_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1700]) ).
thf(1866,plain,
! [SV7: $i] :
( ( ( in @ ( sK181_SY69 @ SV7 ) @ sK37_SX0 )
= $true )
| ( ( in @ SV7 @ sK37_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1701]) ).
thf(1867,plain,
! [SV7: $i] :
( ( ( SV7
= ( sK181_SY69 @ SV7 ) )
= $false )
| ( ( in @ SV7 @ sK37_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1702]) ).
thf(1868,plain,
! [SV7: $i] :
( ( ( in @ SV7 @ ( sK181_SY69 @ SV7 ) )
= $false )
| ( ( in @ SV7 @ sK37_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK14_SX0 @ sK14_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1702]) ).
thf(1869,plain,
! [SV10: $i] :
( ( ( ~ ( in @ ( sK216_SY120 @ SV10 ) @ sK56_SX0 )
| ( SV10
= ( sK216_SY120 @ SV10 ) )
| ( in @ SV10 @ ( sK216_SY120 @ SV10 ) ) )
= $false )
| ( ( in @ SV10 @ sK56_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1703]) ).
thf(1870,plain,
! [SV11: $i] :
( ( ( ~ ( in @ ( sK217_SY121 @ SV11 ) @ sK57_SX0 )
| ( SV11
= ( sK217_SY121 @ SV11 ) )
| ( in @ SV11 @ ( sK217_SY121 @ SV11 ) ) )
= $false )
| ( ( in @ SV11 @ sK57_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1704]) ).
thf(1871,plain,
! [SV22: $i] :
( ( ( ! [SY164: $i] :
( ~ ( in @ SY164 @ sK80_SX0 )
| ( SV22 = SY164 )
| ( in @ SV22 @ SY164 ) ) )
= $false )
| ( ( in @ SV22 @ sK80_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1705]) ).
thf(1872,plain,
! [SV23: $i] :
( ( ( ! [SY165: $i] :
( ~ ( in @ SY165 @ sK81_SX0 )
| ( SV23 = SY165 )
| ( in @ SV23 @ SY165 ) ) )
= $false )
| ( ( in @ SV23 @ sK81_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1706]) ).
thf(1873,plain,
! [SV24: $i] :
( ( ( ! [SY166: $i] :
( ~ ( in @ SY166 @ sK82_SX0 )
| ( SV24 = SY166 )
| ( in @ SV24 @ SY166 ) ) )
= $false )
| ( ( in @ SV24 @ sK82_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1707]) ).
thf(1874,plain,
! [SV25: $i] :
( ( ( ! [SY167: $i] :
( ~ ( in @ SY167 @ sK83_SX0 )
| ( SV25 = SY167 )
| ( in @ SV25 @ SY167 ) ) )
= $false )
| ( ( in @ SV25 @ sK83_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1708]) ).
thf(1875,plain,
! [SV12: $i] :
( ( ( ~ ( in @ ( sK218_SY122 @ SV12 ) @ sK58_SX0 )
| ( SV12
= ( sK218_SY122 @ SV12 ) )
| ( in @ SV12 @ ( sK218_SY122 @ SV12 ) ) )
= $false )
| ( ( in @ SV12 @ sK58_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1709]) ).
thf(1876,plain,
! [SV13: $i] :
( ( ( ~ ( in @ ( sK219_SY123 @ SV13 ) @ sK59_SX0 )
| ( SV13
= ( sK219_SY123 @ SV13 ) )
| ( in @ SV13 @ ( sK219_SY123 @ SV13 ) ) )
= $false )
| ( ( in @ SV13 @ sK59_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1710]) ).
thf(1877,plain,
! [SV14: $i] :
( ( ( ~ ( in @ ( sK220_SY124 @ SV14 ) @ sK60_SX0 )
| ( SV14
= ( sK220_SY124 @ SV14 ) )
| ( in @ SV14 @ ( sK220_SY124 @ SV14 ) ) )
= $false )
| ( ( in @ SV14 @ sK60_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1711]) ).
thf(1878,plain,
! [SV15: $i] :
( ( ( ~ ( in @ ( sK221_SY125 @ SV15 ) @ sK61_SX0 )
| ( SV15
= ( sK221_SY125 @ SV15 ) )
| ( in @ SV15 @ ( sK221_SY125 @ SV15 ) ) )
= $false )
| ( ( in @ SV15 @ sK61_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1712]) ).
thf(1879,plain,
! [SV30: $i] :
( ( ( in @ SV30 @ sK96_SX0 )
= $false )
| ( ( ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ sK96_SX0 )
| ( SV30 = SY204 )
| ( in @ SV30 @ SY204 ) ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(1880,plain,
! [SV31: $i] :
( ( ( in @ SV31 @ sK97_SX0 )
= $false )
| ( ( ~ ! [SY205: $i] :
( ~ ( in @ SY205 @ sK97_SX0 )
| ( SV31 = SY205 )
| ( in @ SV31 @ SY205 ) ) )
= $true )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(1881,plain,
! [SV46: $i] :
( ( ( ~ ( in @ SV46 @ sK116_SX0 ) )
= $true )
| ( ( ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ sK116_SX0 )
| ( SV46 = SY236 )
| ( in @ SV46 @ SY236 ) ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1715]) ).
thf(1882,plain,
! [SV47: $i] :
( ( ( ~ ( in @ SV47 @ sK117_SX0 ) )
= $true )
| ( ( ~ ! [SY237: $i] :
( ~ ( in @ SY237 @ sK117_SX0 )
| ( SV47 = SY237 )
| ( in @ SV47 @ SY237 ) ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1883,plain,
! [SV48: $i] :
( ( ( ~ ( in @ SV48 @ sK118_SX0 ) )
= $true )
| ( ( ~ ! [SY238: $i] :
( ~ ( in @ SY238 @ sK118_SX0 )
| ( SV48 = SY238 )
| ( in @ SV48 @ SY238 ) ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1717]) ).
thf(1884,plain,
! [SV49: $i] :
( ( ( ~ ( in @ SV49 @ sK119_SX0 ) )
= $true )
| ( ( ~ ! [SY239: $i] :
( ~ ( in @ SY239 @ sK119_SX0 )
| ( SV49 = SY239 )
| ( in @ SV49 @ SY239 ) ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1718]) ).
thf(1885,plain,
! [SV32: $i] :
( ( ( in @ SV32 @ sK98_SX0 )
= $false )
| ( ( ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ sK98_SX0 )
| ( SV32 = SY206 )
| ( in @ SV32 @ SY206 ) ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(1886,plain,
! [SV33: $i] :
( ( ( in @ SV33 @ sK99_SX0 )
= $false )
| ( ( ~ ! [SY207: $i] :
( ~ ( in @ SY207 @ sK99_SX0 )
| ( SV33 = SY207 )
| ( in @ SV33 @ SY207 ) ) )
= $true )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1887,plain,
! [SV34: $i] :
( ( ( in @ SV34 @ sK100_SX0 )
= $false )
| ( ( ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ sK100_SX0 )
| ( SV34 = SY208 )
| ( in @ SV34 @ SY208 ) ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1721]) ).
thf(1888,plain,
! [SV35: $i] :
( ( ( in @ SV35 @ sK101_SX0 )
= $false )
| ( ( ~ ! [SY209: $i] :
( ~ ( in @ SY209 @ sK101_SX0 )
| ( SV35 = SY209 )
| ( in @ SV35 @ SY209 ) ) )
= $true )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1889,plain,
! [SV54: $i] :
( ( ( ~ ( in @ SV54 @ sK124_SX0 )
| ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ sK124_SX0 )
| ( SV54 = SY244 )
| ( in @ SV54 @ SY244 ) ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1723]) ).
thf(1890,plain,
! [SV55: $i] :
( ( ( ~ ( in @ SV55 @ sK125_SX0 )
| ~ ! [SY245: $i] :
( ~ ( in @ SY245 @ sK125_SX0 )
| ( SV55 = SY245 )
| ( in @ SV55 @ SY245 ) ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1724]) ).
thf(1891,plain,
! [SV70: $i] :
( ( ( ~ ( ~ ( in @ SV70 @ sK148_SX0 )
| ~ ! [SY292: $i] :
( ~ ( in @ SY292 @ sK148_SX0 )
| ( SV70 = SY292 )
| ( in @ SV70 @ SY292 ) ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1726]) ).
thf(1892,plain,
! [SV71: $i] :
( ( ( ~ ( ~ ( in @ SV71 @ sK149_SX0 )
| ~ ! [SY293: $i] :
( ~ ( in @ SY293 @ sK149_SX0 )
| ( SV71 = SY293 )
| ( in @ SV71 @ SY293 ) ) ) )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1728]) ).
thf(1893,plain,
! [SV72: $i] :
( ( ( ~ ( ~ ( in @ SV72 @ sK150_SX0 )
| ~ ! [SY294: $i] :
( ~ ( in @ SY294 @ sK150_SX0 )
| ( SV72 = SY294 )
| ( in @ SV72 @ SY294 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1730]) ).
thf(1894,plain,
! [SV73: $i] :
( ( ( ~ ( ~ ( in @ SV73 @ sK151_SX0 )
| ~ ! [SY295: $i] :
( ~ ( in @ SY295 @ sK151_SX0 )
| ( SV73 = SY295 )
| ( in @ SV73 @ SY295 ) ) ) )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1895,plain,
! [SV56: $i] :
( ( ( ~ ( in @ SV56 @ sK126_SX0 )
| ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ sK126_SX0 )
| ( SV56 = SY246 )
| ( in @ SV56 @ SY246 ) ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1733]) ).
thf(1896,plain,
! [SV57: $i] :
( ( ( ~ ( in @ SV57 @ sK127_SX0 )
| ~ ! [SY247: $i] :
( ~ ( in @ SY247 @ sK127_SX0 )
| ( SV57 = SY247 )
| ( in @ SV57 @ SY247 ) ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1734]) ).
thf(1897,plain,
( ( ( sK172_SX0 = emptyset )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1735]) ).
thf(1898,plain,
! [SV86: $i] :
( ( ( ~ ~ ( ~ ( in @ SV86 @ sK172_SX0 )
| ~ ! [SY340: $i] :
( ~ ( in @ SY340 @ sK172_SX0 )
| ( SV86 = SY340 )
| ( in @ SV86 @ SY340 ) ) ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1736]) ).
thf(1899,plain,
( ( ( sK173_SX0 = emptyset )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1737]) ).
thf(1900,plain,
! [SV87: $i] :
( ( ( ~ ~ ( ~ ( in @ SV87 @ sK173_SX0 )
| ~ ! [SY341: $i] :
( ~ ( in @ SY341 @ sK173_SX0 )
| ( SV87 = SY341 )
| ( in @ SV87 @ SY341 ) ) ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1738]) ).
thf(1901,plain,
( ( ( in @ sK182_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1739]) ).
thf(1902,plain,
( ( ( ~ ( ( sK182_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1740]) ).
thf(1903,plain,
( ( ( ~ ! [SY248: $i] :
~ ~ ( ~ ( in @ SY248 @ sK182_SX0 )
| ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ sK182_SX0 )
| ( SY248 = SY249 )
| ( in @ SY248 @ SY249 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1740]) ).
thf(1904,plain,
( ( ( in @ sK183_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1741]) ).
thf(1905,plain,
( ( ( ~ ( ( sK183_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1742]) ).
thf(1906,plain,
( ( ( ~ ! [SY250: $i] :
~ ~ ( ~ ( in @ SY250 @ sK183_SX0 )
| ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ sK183_SX0 )
| ( SY250 = SY251 )
| ( in @ SY250 @ SY251 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1742]) ).
thf(1907,plain,
( ( ( ~ ( in @ sK200_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1743]) ).
thf(1908,plain,
( ( ( ~ ( ( sK200_SX0 != emptyset ) )
| ~ ! [SY296: $i] :
~ ~ ( ~ ( in @ SY296 @ sK200_SX0 )
| ~ ! [SY297: $i] :
( ~ ( in @ SY297 @ sK200_SX0 )
| ( SY296 = SY297 )
| ( in @ SY296 @ SY297 ) ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1743]) ).
thf(1909,plain,
( ( ( ~ ( in @ sK201_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1744]) ).
thf(1910,plain,
( ( ( ~ ( ( sK201_SX0 != emptyset ) )
| ~ ! [SY298: $i] :
~ ~ ( ~ ( in @ SY298 @ sK201_SX0 )
| ~ ! [SY299: $i] :
( ~ ( in @ SY299 @ sK201_SX0 )
| ( SY298 = SY299 )
| ( in @ SY298 @ SY299 ) ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1744]) ).
thf(1911,plain,
( ( ( ~ ( in @ sK202_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1745]) ).
thf(1912,plain,
( ( ( ~ ( ( sK202_SX0 != emptyset ) )
| ~ ! [SY300: $i] :
~ ~ ( ~ ( in @ SY300 @ sK202_SX0 )
| ~ ! [SY301: $i] :
( ~ ( in @ SY301 @ sK202_SX0 )
| ( SY300 = SY301 )
| ( in @ SY300 @ SY301 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1745]) ).
thf(1913,plain,
( ( ( ~ ( in @ sK203_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1746]) ).
thf(1914,plain,
( ( ( ~ ( ( sK203_SX0 != emptyset ) )
| ~ ! [SY302: $i] :
~ ~ ( ~ ( in @ SY302 @ sK203_SX0 )
| ~ ! [SY303: $i] :
( ~ ( in @ SY303 @ sK203_SX0 )
| ( SY302 = SY303 )
| ( in @ SY302 @ SY303 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1746]) ).
thf(1915,plain,
( ( ( in @ sK184_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1747]) ).
thf(1916,plain,
( ( ( ~ ( ( sK184_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1748]) ).
thf(1917,plain,
( ( ( ~ ! [SY252: $i] :
~ ~ ( ~ ( in @ SY252 @ sK184_SX0 )
| ~ ! [SY253: $i] :
( ~ ( in @ SY253 @ sK184_SX0 )
| ( SY252 = SY253 )
| ( in @ SY252 @ SY253 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1748]) ).
thf(1918,plain,
( ( ( in @ sK185_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1749]) ).
thf(1919,plain,
( ( ( ~ ( ( sK185_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1750]) ).
thf(1920,plain,
( ( ( ~ ! [SY254: $i] :
~ ~ ( ~ ( in @ SY254 @ sK185_SX0 )
| ~ ! [SY255: $i] :
( ~ ( in @ SY255 @ sK185_SX0 )
| ( SY254 = SY255 )
| ( in @ SY254 @ SY255 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1750]) ).
thf(1921,plain,
( ( ( sK174_SX0 = emptyset )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1751]) ).
thf(1922,plain,
! [SV88: $i] :
( ( ( ~ ~ ( ~ ( in @ SV88 @ sK174_SX0 )
| ~ ! [SY342: $i] :
( ~ ( in @ SY342 @ sK174_SX0 )
| ( SV88 = SY342 )
| ( in @ SV88 @ SY342 ) ) ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1752]) ).
thf(1923,plain,
( ( ( sK175_SX0 = emptyset )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1753]) ).
thf(1924,plain,
! [SV89: $i] :
( ( ( ~ ~ ( ~ ( in @ SV89 @ sK175_SX0 )
| ~ ! [SY343: $i] :
( ~ ( in @ SY343 @ sK175_SX0 )
| ( SV89 = SY343 )
| ( in @ SV89 @ SY343 ) ) ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1754]) ).
thf(1925,plain,
( ( ( in @ sK186_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1755]) ).
thf(1926,plain,
( ( ( ~ ( ( sK186_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1756]) ).
thf(1927,plain,
( ( ( ~ ! [SY256: $i] :
~ ~ ( ~ ( in @ SY256 @ sK186_SX0 )
| ~ ! [SY257: $i] :
( ~ ( in @ SY257 @ sK186_SX0 )
| ( SY256 = SY257 )
| ( in @ SY256 @ SY257 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1756]) ).
thf(1928,plain,
( ( ( in @ sK187_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1757]) ).
thf(1929,plain,
( ( ( ~ ( ( sK187_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1758]) ).
thf(1930,plain,
( ( ( ~ ! [SY258: $i] :
~ ~ ( ~ ( in @ SY258 @ sK187_SX0 )
| ~ ! [SY259: $i] :
( ~ ( in @ SY259 @ sK187_SX0 )
| ( SY258 = SY259 )
| ( in @ SY258 @ SY259 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1758]) ).
thf(1931,plain,
( ( ( ~ ( in @ sK204_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1759]) ).
thf(1932,plain,
( ( ( ~ ( ( sK204_SX0 != emptyset ) )
| ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ sK204_SX0 )
| ~ ! [SY305: $i] :
( ~ ( in @ SY305 @ sK204_SX0 )
| ( SY304 = SY305 )
| ( in @ SY304 @ SY305 ) ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1759]) ).
thf(1933,plain,
( ( ( ~ ( in @ sK205_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1934,plain,
( ( ( ~ ( ( sK205_SX0 != emptyset ) )
| ~ ! [SY306: $i] :
~ ~ ( ~ ( in @ SY306 @ sK205_SX0 )
| ~ ! [SY307: $i] :
( ~ ( in @ SY307 @ sK205_SX0 )
| ( SY306 = SY307 )
| ( in @ SY306 @ SY307 ) ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1935,plain,
( ( ( ~ ( in @ sK206_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1936,plain,
( ( ( ~ ( ( sK206_SX0 != emptyset ) )
| ~ ! [SY308: $i] :
~ ~ ( ~ ( in @ SY308 @ sK206_SX0 )
| ~ ! [SY309: $i] :
( ~ ( in @ SY309 @ sK206_SX0 )
| ( SY308 = SY309 )
| ( in @ SY308 @ SY309 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1937,plain,
( ( ( ~ ( in @ sK207_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1762]) ).
thf(1938,plain,
( ( ( ~ ( ( sK207_SX0 != emptyset ) )
| ~ ! [SY310: $i] :
~ ~ ( ~ ( in @ SY310 @ sK207_SX0 )
| ~ ! [SY311: $i] :
( ~ ( in @ SY311 @ sK207_SX0 )
| ( SY310 = SY311 )
| ( in @ SY310 @ SY311 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1762]) ).
thf(1939,plain,
( ( ( in @ sK188_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1763]) ).
thf(1940,plain,
( ( ( ~ ( ( sK188_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1764]) ).
thf(1941,plain,
( ( ( ~ ! [SY260: $i] :
~ ~ ( ~ ( in @ SY260 @ sK188_SX0 )
| ~ ! [SY261: $i] :
( ~ ( in @ SY261 @ sK188_SX0 )
| ( SY260 = SY261 )
| ( in @ SY260 @ SY261 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1764]) ).
thf(1942,plain,
( ( ( in @ sK189_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1943,plain,
( ( ( ~ ( ( sK189_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1944,plain,
( ( ( ~ ! [SY262: $i] :
~ ~ ( ~ ( in @ SY262 @ sK189_SX0 )
| ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ sK189_SX0 )
| ( SY262 = SY263 )
| ( in @ SY262 @ SY263 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1945,plain,
! [SV36: $i] :
( ( ( in @ SV36 @ sK104_SX0 )
= $false )
| ( ( ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ sK104_SX0 )
| ( SV36 = SY218 )
| ( in @ SV36 @ SY218 ) ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1767]) ).
thf(1946,plain,
! [SV37: $i] :
( ( ( in @ SV37 @ sK105_SX0 )
= $false )
| ( ( ~ ! [SY219: $i] :
( ~ ( in @ SY219 @ sK105_SX0 )
| ( SV37 = SY219 )
| ( in @ SV37 @ SY219 ) ) )
= $true )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1768]) ).
thf(1947,plain,
! [SV58: $i] :
( ( ( ~ ( in @ SV58 @ sK132_SX0 )
| ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ sK132_SX0 )
| ( SV58 = SY264 )
| ( in @ SV58 @ SY264 ) ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1769]) ).
thf(1948,plain,
! [SV59: $i] :
( ( ( ~ ( in @ SV59 @ sK133_SX0 )
| ~ ! [SY265: $i] :
( ~ ( in @ SY265 @ sK133_SX0 )
| ( SV59 = SY265 )
| ( in @ SV59 @ SY265 ) ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(1949,plain,
! [SV74: $i] :
( ( ( ~ ( ~ ( in @ SV74 @ sK156_SX0 )
| ~ ! [SY312: $i] :
( ~ ( in @ SY312 @ sK156_SX0 )
| ( SV74 = SY312 )
| ( in @ SV74 @ SY312 ) ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1772]) ).
thf(1950,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( in @ SV75 @ sK157_SX0 )
| ~ ! [SY313: $i] :
( ~ ( in @ SY313 @ sK157_SX0 )
| ( SV75 = SY313 )
| ( in @ SV75 @ SY313 ) ) ) )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1774]) ).
thf(1951,plain,
! [SV76: $i] :
( ( ( ~ ( ~ ( in @ SV76 @ sK158_SX0 )
| ~ ! [SY314: $i] :
( ~ ( in @ SY314 @ sK158_SX0 )
| ( SV76 = SY314 )
| ( in @ SV76 @ SY314 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1776]) ).
thf(1952,plain,
! [SV77: $i] :
( ( ( ~ ( ~ ( in @ SV77 @ sK159_SX0 )
| ~ ! [SY315: $i] :
( ~ ( in @ SY315 @ sK159_SX0 )
| ( SV77 = SY315 )
| ( in @ SV77 @ SY315 ) ) ) )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1778]) ).
thf(1953,plain,
! [SV60: $i] :
( ( ( ~ ( in @ SV60 @ sK134_SX0 )
| ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ sK134_SX0 )
| ( SV60 = SY266 )
| ( in @ SV60 @ SY266 ) ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1779]) ).
thf(1954,plain,
! [SV61: $i] :
( ( ( ~ ( in @ SV61 @ sK135_SX0 )
| ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ sK135_SX0 )
| ( SV61 = SY267 )
| ( in @ SV61 @ SY267 ) ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1780]) ).
thf(1955,plain,
! [SV8: $i] :
( ( ( in @ ( sK190_SY86 @ SV8 ) @ sK44_SX0 )
= $true )
| ( ( in @ SV8 @ sK44_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1781]) ).
thf(1956,plain,
! [SV8: $i] :
( ( ( SV8
= ( sK190_SY86 @ SV8 ) )
= $false )
| ( ( in @ SV8 @ sK44_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1782]) ).
thf(1957,plain,
! [SV8: $i] :
( ( ( in @ SV8 @ ( sK190_SY86 @ SV8 ) )
= $false )
| ( ( in @ SV8 @ sK44_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1782]) ).
thf(1958,plain,
! [SV9: $i] :
( ( ( in @ ( sK191_SY87 @ SV9 ) @ sK45_SX0 )
= $true )
| ( ( in @ SV9 @ sK45_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(1959,plain,
! [SV9: $i] :
( ( ( SV9
= ( sK191_SY87 @ SV9 ) )
= $false )
| ( ( in @ SV9 @ sK45_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1960,plain,
! [SV9: $i] :
( ( ( in @ SV9 @ ( sK191_SY87 @ SV9 ) )
= $false )
| ( ( in @ SV9 @ sK45_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK18_SX0 @ sK18_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1961,plain,
! [SV16: $i] :
( ( ( ~ ( in @ ( sK222_SY142 @ SV16 ) @ sK68_SX0 )
| ( SV16
= ( sK222_SY142 @ SV16 ) )
| ( in @ SV16 @ ( sK222_SY142 @ SV16 ) ) )
= $false )
| ( ( in @ SV16 @ sK68_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1785]) ).
thf(1962,plain,
! [SV17: $i] :
( ( ( ~ ( in @ ( sK223_SY143 @ SV17 ) @ sK69_SX0 )
| ( SV17
= ( sK223_SY143 @ SV17 ) )
| ( in @ SV17 @ ( sK223_SY143 @ SV17 ) ) )
= $false )
| ( ( in @ SV17 @ sK69_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1786]) ).
thf(1963,plain,
! [SV26: $i] :
( ( ( ! [SY184: $i] :
( ~ ( in @ SY184 @ sK88_SX0 )
| ( SV26 = SY184 )
| ( in @ SV26 @ SY184 ) ) )
= $false )
| ( ( in @ SV26 @ sK88_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1787]) ).
thf(1964,plain,
! [SV27: $i] :
( ( ( ! [SY185: $i] :
( ~ ( in @ SY185 @ sK89_SX0 )
| ( SV27 = SY185 )
| ( in @ SV27 @ SY185 ) ) )
= $false )
| ( ( in @ SV27 @ sK89_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1788]) ).
thf(1965,plain,
! [SV28: $i] :
( ( ( ! [SY186: $i] :
( ~ ( in @ SY186 @ sK90_SX0 )
| ( SV28 = SY186 )
| ( in @ SV28 @ SY186 ) ) )
= $false )
| ( ( in @ SV28 @ sK90_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1789]) ).
thf(1966,plain,
! [SV29: $i] :
( ( ( ! [SY187: $i] :
( ~ ( in @ SY187 @ sK91_SX0 )
| ( SV29 = SY187 )
| ( in @ SV29 @ SY187 ) ) )
= $false )
| ( ( in @ SV29 @ sK91_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1790]) ).
thf(1967,plain,
! [SV18: $i] :
( ( ( ~ ( in @ ( sK224_SY144 @ SV18 ) @ sK70_SX0 )
| ( SV18
= ( sK224_SY144 @ SV18 ) )
| ( in @ SV18 @ ( sK224_SY144 @ SV18 ) ) )
= $false )
| ( ( in @ SV18 @ sK70_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1791]) ).
thf(1968,plain,
! [SV19: $i] :
( ( ( ~ ( in @ ( sK225_SY145 @ SV19 ) @ sK71_SX0 )
| ( SV19
= ( sK225_SY145 @ SV19 ) )
| ( in @ SV19 @ ( sK225_SY145 @ SV19 ) ) )
= $false )
| ( ( in @ SV19 @ sK71_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1792]) ).
thf(1969,plain,
! [SV20: $i] :
( ( ( ~ ( in @ ( sK226_SY146 @ SV20 ) @ sK72_SX0 )
| ( SV20
= ( sK226_SY146 @ SV20 ) )
| ( in @ SV20 @ ( sK226_SY146 @ SV20 ) ) )
= $false )
| ( ( in @ SV20 @ sK72_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1793]) ).
thf(1970,plain,
! [SV21: $i] :
( ( ( ~ ( in @ ( sK227_SY147 @ SV21 ) @ sK73_SX0 )
| ( SV21
= ( sK227_SY147 @ SV21 ) )
| ( in @ SV21 @ ( sK227_SY147 @ SV21 ) ) )
= $false )
| ( ( in @ SV21 @ sK73_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1794]) ).
thf(1971,plain,
! [SV38: $i] :
( ( ( in @ SV38 @ sK106_SX0 )
= $false )
| ( ( ~ ! [SY220: $i] :
( ~ ( in @ SY220 @ sK106_SX0 )
| ( SV38 = SY220 )
| ( in @ SV38 @ SY220 ) ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1795]) ).
thf(1972,plain,
! [SV39: $i] :
( ( ( in @ SV39 @ sK107_SX0 )
= $false )
| ( ( ~ ! [SY221: $i] :
( ~ ( in @ SY221 @ sK107_SX0 )
| ( SV39 = SY221 )
| ( in @ SV39 @ SY221 ) ) )
= $true )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1796]) ).
thf(1973,plain,
! [SV50: $i] :
( ( ( ~ ( in @ SV50 @ sK120_SX0 ) )
= $true )
| ( ( ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ sK120_SX0 )
| ( SV50 = SY240 )
| ( in @ SV50 @ SY240 ) ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1797]) ).
thf(1974,plain,
! [SV51: $i] :
( ( ( ~ ( in @ SV51 @ sK121_SX0 ) )
= $true )
| ( ( ~ ! [SY241: $i] :
( ~ ( in @ SY241 @ sK121_SX0 )
| ( SV51 = SY241 )
| ( in @ SV51 @ SY241 ) ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1798]) ).
thf(1975,plain,
! [SV52: $i] :
( ( ( ~ ( in @ SV52 @ sK122_SX0 ) )
= $true )
| ( ( ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ sK122_SX0 )
| ( SV52 = SY242 )
| ( in @ SV52 @ SY242 ) ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1799]) ).
thf(1976,plain,
! [SV53: $i] :
( ( ( ~ ( in @ SV53 @ sK123_SX0 ) )
= $true )
| ( ( ~ ! [SY243: $i] :
( ~ ( in @ SY243 @ sK123_SX0 )
| ( SV53 = SY243 )
| ( in @ SV53 @ SY243 ) ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1800]) ).
thf(1977,plain,
! [SV40: $i] :
( ( ( in @ SV40 @ sK108_SX0 )
= $false )
| ( ( ~ ! [SY222: $i] :
( ~ ( in @ SY222 @ sK108_SX0 )
| ( SV40 = SY222 )
| ( in @ SV40 @ SY222 ) ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1801]) ).
thf(1978,plain,
! [SV41: $i] :
( ( ( in @ SV41 @ sK109_SX0 )
= $false )
| ( ( ~ ! [SY223: $i] :
( ~ ( in @ SY223 @ sK109_SX0 )
| ( SV41 = SY223 )
| ( in @ SV41 @ SY223 ) ) )
= $true )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1802]) ).
thf(1979,plain,
! [SV42: $i] :
( ( ( in @ SV42 @ sK110_SX0 )
= $false )
| ( ( ~ ! [SY224: $i] :
( ~ ( in @ SY224 @ sK110_SX0 )
| ( SV42 = SY224 )
| ( in @ SV42 @ SY224 ) ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1803]) ).
thf(1980,plain,
! [SV43: $i] :
( ( ( in @ SV43 @ sK111_SX0 )
= $false )
| ( ( ~ ! [SY225: $i] :
( ~ ( in @ SY225 @ sK111_SX0 )
| ( SV43 = SY225 )
| ( in @ SV43 @ SY225 ) ) )
= $true )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1804]) ).
thf(1981,plain,
! [SV62: $i] :
( ( ( ~ ( in @ SV62 @ sK136_SX0 )
| ~ ! [SY268: $i] :
( ~ ( in @ SY268 @ sK136_SX0 )
| ( SV62 = SY268 )
| ( in @ SV62 @ SY268 ) ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1805]) ).
thf(1982,plain,
! [SV63: $i] :
( ( ( ~ ( in @ SV63 @ sK137_SX0 )
| ~ ! [SY269: $i] :
( ~ ( in @ SY269 @ sK137_SX0 )
| ( SV63 = SY269 )
| ( in @ SV63 @ SY269 ) ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1806]) ).
thf(1983,plain,
! [SV78: $i] :
( ( ( ~ ( ~ ( in @ SV78 @ sK160_SX0 )
| ~ ! [SY316: $i] :
( ~ ( in @ SY316 @ sK160_SX0 )
| ( SV78 = SY316 )
| ( in @ SV78 @ SY316 ) ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1808]) ).
thf(1984,plain,
! [SV79: $i] :
( ( ( ~ ( ~ ( in @ SV79 @ sK161_SX0 )
| ~ ! [SY317: $i] :
( ~ ( in @ SY317 @ sK161_SX0 )
| ( SV79 = SY317 )
| ( in @ SV79 @ SY317 ) ) ) )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(1985,plain,
! [SV80: $i] :
( ( ( ~ ( ~ ( in @ SV80 @ sK162_SX0 )
| ~ ! [SY318: $i] :
( ~ ( in @ SY318 @ sK162_SX0 )
| ( SV80 = SY318 )
| ( in @ SV80 @ SY318 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1812]) ).
thf(1986,plain,
! [SV81: $i] :
( ( ( ~ ( ~ ( in @ SV81 @ sK163_SX0 )
| ~ ! [SY319: $i] :
( ~ ( in @ SY319 @ sK163_SX0 )
| ( SV81 = SY319 )
| ( in @ SV81 @ SY319 ) ) ) )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1814]) ).
thf(1987,plain,
! [SV64: $i] :
( ( ( ~ ( in @ SV64 @ sK138_SX0 )
| ~ ! [SY270: $i] :
( ~ ( in @ SY270 @ sK138_SX0 )
| ( SV64 = SY270 )
| ( in @ SV64 @ SY270 ) ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1815]) ).
thf(1988,plain,
! [SV65: $i] :
( ( ( ~ ( in @ SV65 @ sK139_SX0 )
| ~ ! [SY271: $i] :
( ~ ( in @ SY271 @ sK139_SX0 )
| ( SV65 = SY271 )
| ( in @ SV65 @ SY271 ) ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1816]) ).
thf(1989,plain,
( ( ( sK176_SX0 = emptyset )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1817]) ).
thf(1990,plain,
! [SV90: $i] :
( ( ( ~ ~ ( ~ ( in @ SV90 @ sK176_SX0 )
| ~ ! [SY344: $i] :
( ~ ( in @ SY344 @ sK176_SX0 )
| ( SV90 = SY344 )
| ( in @ SV90 @ SY344 ) ) ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(1991,plain,
( ( ( sK177_SX0 = emptyset )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1819]) ).
thf(1992,plain,
! [SV91: $i] :
( ( ( ~ ~ ( ~ ( in @ SV91 @ sK177_SX0 )
| ~ ! [SY345: $i] :
( ~ ( in @ SY345 @ sK177_SX0 )
| ( SV91 = SY345 )
| ( in @ SV91 @ SY345 ) ) ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1820]) ).
thf(1993,plain,
( ( ( in @ sK192_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1821]) ).
thf(1994,plain,
( ( ( ~ ( ( sK192_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1822]) ).
thf(1995,plain,
( ( ( ~ ! [SY272: $i] :
~ ~ ( ~ ( in @ SY272 @ sK192_SX0 )
| ~ ! [SY273: $i] :
( ~ ( in @ SY273 @ sK192_SX0 )
| ( SY272 = SY273 )
| ( in @ SY272 @ SY273 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1822]) ).
thf(1996,plain,
( ( ( in @ sK193_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1823]) ).
thf(1997,plain,
( ( ( ~ ( ( sK193_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1824]) ).
thf(1998,plain,
( ( ( ~ ! [SY274: $i] :
~ ~ ( ~ ( in @ SY274 @ sK193_SX0 )
| ~ ! [SY275: $i] :
( ~ ( in @ SY275 @ sK193_SX0 )
| ( SY274 = SY275 )
| ( in @ SY274 @ SY275 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1824]) ).
thf(1999,plain,
( ( ( ~ ( in @ sK208_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1825]) ).
thf(2000,plain,
( ( ( ~ ( ( sK208_SX0 != emptyset ) )
| ~ ! [SY320: $i] :
~ ~ ( ~ ( in @ SY320 @ sK208_SX0 )
| ~ ! [SY321: $i] :
( ~ ( in @ SY321 @ sK208_SX0 )
| ( SY320 = SY321 )
| ( in @ SY320 @ SY321 ) ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1825]) ).
thf(2001,plain,
( ( ( ~ ( in @ sK209_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1826]) ).
thf(2002,plain,
( ( ( ~ ( ( sK209_SX0 != emptyset ) )
| ~ ! [SY322: $i] :
~ ~ ( ~ ( in @ SY322 @ sK209_SX0 )
| ~ ! [SY323: $i] :
( ~ ( in @ SY323 @ sK209_SX0 )
| ( SY322 = SY323 )
| ( in @ SY322 @ SY323 ) ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1826]) ).
thf(2003,plain,
( ( ( ~ ( in @ sK210_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1827]) ).
thf(2004,plain,
( ( ( ~ ( ( sK210_SX0 != emptyset ) )
| ~ ! [SY324: $i] :
~ ~ ( ~ ( in @ SY324 @ sK210_SX0 )
| ~ ! [SY325: $i] :
( ~ ( in @ SY325 @ sK210_SX0 )
| ( SY324 = SY325 )
| ( in @ SY324 @ SY325 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1827]) ).
thf(2005,plain,
( ( ( ~ ( in @ sK211_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1828]) ).
thf(2006,plain,
( ( ( ~ ( ( sK211_SX0 != emptyset ) )
| ~ ! [SY326: $i] :
~ ~ ( ~ ( in @ SY326 @ sK211_SX0 )
| ~ ! [SY327: $i] :
( ~ ( in @ SY327 @ sK211_SX0 )
| ( SY326 = SY327 )
| ( in @ SY326 @ SY327 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1828]) ).
thf(2007,plain,
( ( ( in @ sK194_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1829]) ).
thf(2008,plain,
( ( ( ~ ( ( sK194_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1830]) ).
thf(2009,plain,
( ( ( ~ ! [SY276: $i] :
~ ~ ( ~ ( in @ SY276 @ sK194_SX0 )
| ~ ! [SY277: $i] :
( ~ ( in @ SY277 @ sK194_SX0 )
| ( SY276 = SY277 )
| ( in @ SY276 @ SY277 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1830]) ).
thf(2010,plain,
( ( ( in @ sK195_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(2011,plain,
( ( ( ~ ( ( sK195_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1832]) ).
thf(2012,plain,
( ( ( ~ ! [SY278: $i] :
~ ~ ( ~ ( in @ SY278 @ sK195_SX0 )
| ~ ! [SY279: $i] :
( ~ ( in @ SY279 @ sK195_SX0 )
| ( SY278 = SY279 )
| ( in @ SY278 @ SY279 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1832]) ).
thf(2013,plain,
( ( ( sK178_SX0 = emptyset )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1833]) ).
thf(2014,plain,
! [SV92: $i] :
( ( ( ~ ~ ( ~ ( in @ SV92 @ sK178_SX0 )
| ~ ! [SY346: $i] :
( ~ ( in @ SY346 @ sK178_SX0 )
| ( SV92 = SY346 )
| ( in @ SV92 @ SY346 ) ) ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1834]) ).
thf(2015,plain,
( ( ( sK179_SX0 = emptyset )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1835]) ).
thf(2016,plain,
! [SV93: $i] :
( ( ( ~ ~ ( ~ ( in @ SV93 @ sK179_SX0 )
| ~ ! [SY347: $i] :
( ~ ( in @ SY347 @ sK179_SX0 )
| ( SV93 = SY347 )
| ( in @ SV93 @ SY347 ) ) ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1836]) ).
thf(2017,plain,
( ( ( in @ sK196_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1837]) ).
thf(2018,plain,
( ( ( ~ ( ( sK196_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1838]) ).
thf(2019,plain,
( ( ( ~ ! [SY280: $i] :
~ ~ ( ~ ( in @ SY280 @ sK196_SX0 )
| ~ ! [SY281: $i] :
( ~ ( in @ SY281 @ sK196_SX0 )
| ( SY280 = SY281 )
| ( in @ SY280 @ SY281 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1838]) ).
thf(2020,plain,
( ( ( in @ sK197_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1839]) ).
thf(2021,plain,
( ( ( ~ ( ( sK197_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1840]) ).
thf(2022,plain,
( ( ( ~ ! [SY282: $i] :
~ ~ ( ~ ( in @ SY282 @ sK197_SX0 )
| ~ ! [SY283: $i] :
( ~ ( in @ SY283 @ sK197_SX0 )
| ( SY282 = SY283 )
| ( in @ SY282 @ SY283 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1840]) ).
thf(2023,plain,
( ( ( ~ ( in @ sK212_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1841]) ).
thf(2024,plain,
( ( ( ~ ( ( sK212_SX0 != emptyset ) )
| ~ ! [SY328: $i] :
~ ~ ( ~ ( in @ SY328 @ sK212_SX0 )
| ~ ! [SY329: $i] :
( ~ ( in @ SY329 @ sK212_SX0 )
| ( SY328 = SY329 )
| ( in @ SY328 @ SY329 ) ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1841]) ).
thf(2025,plain,
( ( ( ~ ( in @ sK213_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1842]) ).
thf(2026,plain,
( ( ( ~ ( ( sK213_SX0 != emptyset ) )
| ~ ! [SY330: $i] :
~ ~ ( ~ ( in @ SY330 @ sK213_SX0 )
| ~ ! [SY331: $i] :
( ~ ( in @ SY331 @ sK213_SX0 )
| ( SY330 = SY331 )
| ( in @ SY330 @ SY331 ) ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1842]) ).
thf(2027,plain,
( ( ( ~ ( in @ sK214_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1843]) ).
thf(2028,plain,
( ( ( ~ ( ( sK214_SX0 != emptyset ) )
| ~ ! [SY332: $i] :
~ ~ ( ~ ( in @ SY332 @ sK214_SX0 )
| ~ ! [SY333: $i] :
( ~ ( in @ SY333 @ sK214_SX0 )
| ( SY332 = SY333 )
| ( in @ SY332 @ SY333 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1843]) ).
thf(2029,plain,
( ( ( ~ ( in @ sK215_SX0 @ ( powerset @ emptyset ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(2030,plain,
( ( ( ~ ( ( sK215_SX0 != emptyset ) )
| ~ ! [SY334: $i] :
~ ~ ( ~ ( in @ SY334 @ sK215_SX0 )
| ~ ! [SY335: $i] :
( ~ ( in @ SY335 @ sK215_SX0 )
| ( SY334 = SY335 )
| ( in @ SY334 @ SY335 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(2031,plain,
( ( ( in @ sK198_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1845]) ).
thf(2032,plain,
( ( ( ~ ( ( sK198_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1846]) ).
thf(2033,plain,
( ( ( ~ ! [SY284: $i] :
~ ~ ( ~ ( in @ SY284 @ sK198_SX0 )
| ~ ! [SY285: $i] :
( ~ ( in @ SY285 @ sK198_SX0 )
| ( SY284 = SY285 )
| ( in @ SY284 @ SY285 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1846]) ).
thf(2034,plain,
( ( ( in @ sK199_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1847]) ).
thf(2035,plain,
( ( ( ~ ( ( sK199_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1848]) ).
thf(2036,plain,
( ( ( ~ ! [SY286: $i] :
~ ~ ( ~ ( in @ SY286 @ sK199_SX0 )
| ~ ! [SY287: $i] :
( ~ ( in @ SY287 @ sK199_SX0 )
| ( SY286 = SY287 )
| ( in @ SY286 @ SY287 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1848]) ).
thf(2037,plain,
! [SV44: $i] :
( ( ( in @ SV44 @ sK114_SX0 )
= $false )
| ( ( ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ sK114_SX0 )
| ( SV44 = SY234 )
| ( in @ SV44 @ SY234 ) ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(2038,plain,
! [SV45: $i] :
( ( ( in @ SV45 @ sK115_SX0 )
= $false )
| ( ( ~ ! [SY235: $i] :
( ~ ( in @ SY235 @ sK115_SX0 )
| ( SV45 = SY235 )
| ( in @ SV45 @ SY235 ) ) )
= $true )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1850]) ).
thf(2039,plain,
! [SV66: $i] :
( ( ( ~ ( in @ SV66 @ sK144_SX0 )
| ~ ! [SY288: $i] :
( ~ ( in @ SY288 @ sK144_SX0 )
| ( SV66 = SY288 )
| ( in @ SV66 @ SY288 ) ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1851]) ).
thf(2040,plain,
! [SV67: $i] :
( ( ( ~ ( in @ SV67 @ sK145_SX0 )
| ~ ! [SY289: $i] :
( ~ ( in @ SY289 @ sK145_SX0 )
| ( SV67 = SY289 )
| ( in @ SV67 @ SY289 ) ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1852]) ).
thf(2041,plain,
! [SV82: $i] :
( ( ( ~ ( ~ ( in @ SV82 @ sK168_SX0 )
| ~ ! [SY336: $i] :
( ~ ( in @ SY336 @ sK168_SX0 )
| ( SV82 = SY336 )
| ( in @ SV82 @ SY336 ) ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1854]) ).
thf(2042,plain,
! [SV83: $i] :
( ( ( ~ ( ~ ( in @ SV83 @ sK169_SX0 )
| ~ ! [SY337: $i] :
( ~ ( in @ SY337 @ sK169_SX0 )
| ( SV83 = SY337 )
| ( in @ SV83 @ SY337 ) ) ) )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1856]) ).
thf(2043,plain,
! [SV84: $i] :
( ( ( ~ ( ~ ( in @ SV84 @ sK170_SX0 )
| ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ sK170_SX0 )
| ( SV84 = SY338 )
| ( in @ SV84 @ SY338 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1858]) ).
thf(2044,plain,
! [SV85: $i] :
( ( ( ~ ( ~ ( in @ SV85 @ sK171_SX0 )
| ~ ! [SY339: $i] :
( ~ ( in @ SY339 @ sK171_SX0 )
| ( SV85 = SY339 )
| ( in @ SV85 @ SY339 ) ) ) )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1860]) ).
thf(2045,plain,
! [SV68: $i] :
( ( ( ~ ( in @ SV68 @ sK146_SX0 )
| ~ ! [SY290: $i] :
( ~ ( in @ SY290 @ sK146_SX0 )
| ( SV68 = SY290 )
| ( in @ SV68 @ SY290 ) ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1861]) ).
thf(2046,plain,
! [SV69: $i] :
( ( ( ~ ( in @ SV69 @ sK147_SX0 )
| ~ ! [SY291: $i] :
( ~ ( in @ SY291 @ sK147_SX0 )
| ( SV69 = SY291 )
| ( in @ SV69 @ SY291 ) ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1862]) ).
thf(2047,plain,
! [SV10: $i] :
( ( ( ~ ( in @ ( sK216_SY120 @ SV10 ) @ sK56_SX0 ) )
= $false )
| ( ( in @ SV10 @ sK56_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(2048,plain,
! [SV10: $i] :
( ( ( ( SV10
= ( sK216_SY120 @ SV10 ) )
| ( in @ SV10 @ ( sK216_SY120 @ SV10 ) ) )
= $false )
| ( ( in @ SV10 @ sK56_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(2049,plain,
! [SV11: $i] :
( ( ( ~ ( in @ ( sK217_SY121 @ SV11 ) @ sK57_SX0 ) )
= $false )
| ( ( in @ SV11 @ sK57_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(2050,plain,
! [SV11: $i] :
( ( ( ( SV11
= ( sK217_SY121 @ SV11 ) )
| ( in @ SV11 @ ( sK217_SY121 @ SV11 ) ) )
= $false )
| ( ( in @ SV11 @ sK57_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(2051,plain,
! [SV22: $i] :
( ( ( ~ ( in @ ( sK228_SY164 @ SV22 ) @ sK80_SX0 )
| ( SV22
= ( sK228_SY164 @ SV22 ) )
| ( in @ SV22 @ ( sK228_SY164 @ SV22 ) ) )
= $false )
| ( ( in @ SV22 @ sK80_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1871]) ).
thf(2052,plain,
! [SV23: $i] :
( ( ( ~ ( in @ ( sK229_SY165 @ SV23 ) @ sK81_SX0 )
| ( SV23
= ( sK229_SY165 @ SV23 ) )
| ( in @ SV23 @ ( sK229_SY165 @ SV23 ) ) )
= $false )
| ( ( in @ SV23 @ sK81_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1872]) ).
thf(2053,plain,
! [SV24: $i] :
( ( ( ~ ( in @ ( sK230_SY166 @ SV24 ) @ sK82_SX0 )
| ( SV24
= ( sK230_SY166 @ SV24 ) )
| ( in @ SV24 @ ( sK230_SY166 @ SV24 ) ) )
= $false )
| ( ( in @ SV24 @ sK82_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1873]) ).
thf(2054,plain,
! [SV25: $i] :
( ( ( ~ ( in @ ( sK231_SY167 @ SV25 ) @ sK83_SX0 )
| ( SV25
= ( sK231_SY167 @ SV25 ) )
| ( in @ SV25 @ ( sK231_SY167 @ SV25 ) ) )
= $false )
| ( ( in @ SV25 @ sK83_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1874]) ).
thf(2055,plain,
! [SV12: $i] :
( ( ( ~ ( in @ ( sK218_SY122 @ SV12 ) @ sK58_SX0 ) )
= $false )
| ( ( in @ SV12 @ sK58_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1875]) ).
thf(2056,plain,
! [SV12: $i] :
( ( ( ( SV12
= ( sK218_SY122 @ SV12 ) )
| ( in @ SV12 @ ( sK218_SY122 @ SV12 ) ) )
= $false )
| ( ( in @ SV12 @ sK58_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1875]) ).
thf(2057,plain,
! [SV13: $i] :
( ( ( ~ ( in @ ( sK219_SY123 @ SV13 ) @ sK59_SX0 ) )
= $false )
| ( ( in @ SV13 @ sK59_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1876]) ).
thf(2058,plain,
! [SV13: $i] :
( ( ( ( SV13
= ( sK219_SY123 @ SV13 ) )
| ( in @ SV13 @ ( sK219_SY123 @ SV13 ) ) )
= $false )
| ( ( in @ SV13 @ sK59_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1876]) ).
thf(2059,plain,
! [SV14: $i] :
( ( ( ~ ( in @ ( sK220_SY124 @ SV14 ) @ sK60_SX0 ) )
= $false )
| ( ( in @ SV14 @ sK60_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1877]) ).
thf(2060,plain,
! [SV14: $i] :
( ( ( ( SV14
= ( sK220_SY124 @ SV14 ) )
| ( in @ SV14 @ ( sK220_SY124 @ SV14 ) ) )
= $false )
| ( ( in @ SV14 @ sK60_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1877]) ).
thf(2061,plain,
! [SV15: $i] :
( ( ( ~ ( in @ ( sK221_SY125 @ SV15 ) @ sK61_SX0 ) )
= $false )
| ( ( in @ SV15 @ sK61_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(2062,plain,
! [SV15: $i] :
( ( ( ( SV15
= ( sK221_SY125 @ SV15 ) )
| ( in @ SV15 @ ( sK221_SY125 @ SV15 ) ) )
= $false )
| ( ( in @ SV15 @ sK61_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(2063,plain,
! [SV30: $i] :
( ( ( ! [SY204: $i] :
( ~ ( in @ SY204 @ sK96_SX0 )
| ( SV30 = SY204 )
| ( in @ SV30 @ SY204 ) ) )
= $false )
| ( ( in @ SV30 @ sK96_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(2064,plain,
! [SV31: $i] :
( ( ( ! [SY205: $i] :
( ~ ( in @ SY205 @ sK97_SX0 )
| ( SV31 = SY205 )
| ( in @ SV31 @ SY205 ) ) )
= $false )
| ( ( in @ SV31 @ sK97_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1880]) ).
thf(2065,plain,
! [SV46: $i] :
( ( ( in @ SV46 @ sK116_SX0 )
= $false )
| ( ( ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ sK116_SX0 )
| ( SV46 = SY236 )
| ( in @ SV46 @ SY236 ) ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1881]) ).
thf(2066,plain,
! [SV47: $i] :
( ( ( in @ SV47 @ sK117_SX0 )
= $false )
| ( ( ~ ! [SY237: $i] :
( ~ ( in @ SY237 @ sK117_SX0 )
| ( SV47 = SY237 )
| ( in @ SV47 @ SY237 ) ) )
= $true )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1882]) ).
thf(2067,plain,
! [SV48: $i] :
( ( ( in @ SV48 @ sK118_SX0 )
= $false )
| ( ( ~ ! [SY238: $i] :
( ~ ( in @ SY238 @ sK118_SX0 )
| ( SV48 = SY238 )
| ( in @ SV48 @ SY238 ) ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(2068,plain,
! [SV49: $i] :
( ( ( in @ SV49 @ sK119_SX0 )
= $false )
| ( ( ~ ! [SY239: $i] :
( ~ ( in @ SY239 @ sK119_SX0 )
| ( SV49 = SY239 )
| ( in @ SV49 @ SY239 ) ) )
= $true )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1884]) ).
thf(2069,plain,
! [SV32: $i] :
( ( ( ! [SY206: $i] :
( ~ ( in @ SY206 @ sK98_SX0 )
| ( SV32 = SY206 )
| ( in @ SV32 @ SY206 ) ) )
= $false )
| ( ( in @ SV32 @ sK98_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1885]) ).
thf(2070,plain,
! [SV33: $i] :
( ( ( ! [SY207: $i] :
( ~ ( in @ SY207 @ sK99_SX0 )
| ( SV33 = SY207 )
| ( in @ SV33 @ SY207 ) ) )
= $false )
| ( ( in @ SV33 @ sK99_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1886]) ).
thf(2071,plain,
! [SV34: $i] :
( ( ( ! [SY208: $i] :
( ~ ( in @ SY208 @ sK100_SX0 )
| ( SV34 = SY208 )
| ( in @ SV34 @ SY208 ) ) )
= $false )
| ( ( in @ SV34 @ sK100_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1887]) ).
thf(2072,plain,
! [SV35: $i] :
( ( ( ! [SY209: $i] :
( ~ ( in @ SY209 @ sK101_SX0 )
| ( SV35 = SY209 )
| ( in @ SV35 @ SY209 ) ) )
= $false )
| ( ( in @ SV35 @ sK101_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1888]) ).
thf(2073,plain,
! [SV54: $i] :
( ( ( ~ ( in @ SV54 @ sK124_SX0 ) )
= $true )
| ( ( ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ sK124_SX0 )
| ( SV54 = SY244 )
| ( in @ SV54 @ SY244 ) ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1889]) ).
thf(2074,plain,
! [SV55: $i] :
( ( ( ~ ( in @ SV55 @ sK125_SX0 ) )
= $true )
| ( ( ~ ! [SY245: $i] :
( ~ ( in @ SY245 @ sK125_SX0 )
| ( SV55 = SY245 )
| ( in @ SV55 @ SY245 ) ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1890]) ).
thf(2075,plain,
! [SV70: $i] :
( ( ( ~ ( in @ SV70 @ sK148_SX0 )
| ~ ! [SY292: $i] :
( ~ ( in @ SY292 @ sK148_SX0 )
| ( SV70 = SY292 )
| ( in @ SV70 @ SY292 ) ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1891]) ).
thf(2076,plain,
! [SV71: $i] :
( ( ( ~ ( in @ SV71 @ sK149_SX0 )
| ~ ! [SY293: $i] :
( ~ ( in @ SY293 @ sK149_SX0 )
| ( SV71 = SY293 )
| ( in @ SV71 @ SY293 ) ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1892]) ).
thf(2077,plain,
! [SV72: $i] :
( ( ( ~ ( in @ SV72 @ sK150_SX0 )
| ~ ! [SY294: $i] :
( ~ ( in @ SY294 @ sK150_SX0 )
| ( SV72 = SY294 )
| ( in @ SV72 @ SY294 ) ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1893]) ).
thf(2078,plain,
! [SV73: $i] :
( ( ( ~ ( in @ SV73 @ sK151_SX0 )
| ~ ! [SY295: $i] :
( ~ ( in @ SY295 @ sK151_SX0 )
| ( SV73 = SY295 )
| ( in @ SV73 @ SY295 ) ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1894]) ).
thf(2079,plain,
! [SV56: $i] :
( ( ( ~ ( in @ SV56 @ sK126_SX0 ) )
= $true )
| ( ( ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ sK126_SX0 )
| ( SV56 = SY246 )
| ( in @ SV56 @ SY246 ) ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1895]) ).
thf(2080,plain,
! [SV57: $i] :
( ( ( ~ ( in @ SV57 @ sK127_SX0 ) )
= $true )
| ( ( ~ ! [SY247: $i] :
( ~ ( in @ SY247 @ sK127_SX0 )
| ( SV57 = SY247 )
| ( in @ SV57 @ SY247 ) ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1896]) ).
thf(2081,plain,
! [SV86: $i] :
( ( ( ~ ( ~ ( in @ SV86 @ sK172_SX0 )
| ~ ! [SY340: $i] :
( ~ ( in @ SY340 @ sK172_SX0 )
| ( SV86 = SY340 )
| ( in @ SV86 @ SY340 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1898]) ).
thf(2082,plain,
! [SV87: $i] :
( ( ( ~ ( ~ ( in @ SV87 @ sK173_SX0 )
| ~ ! [SY341: $i] :
( ~ ( in @ SY341 @ sK173_SX0 )
| ( SV87 = SY341 )
| ( in @ SV87 @ SY341 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1900]) ).
thf(2083,plain,
( ( ( ( sK182_SX0 != emptyset ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1902]) ).
thf(2084,plain,
( ( ( ! [SY248: $i] :
~ ~ ( ~ ( in @ SY248 @ sK182_SX0 )
| ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ sK182_SX0 )
| ( SY248 = SY249 )
| ( in @ SY248 @ SY249 ) ) ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1903]) ).
thf(2085,plain,
( ( ( ( sK183_SX0 != emptyset ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1905]) ).
thf(2086,plain,
( ( ( ! [SY250: $i] :
~ ~ ( ~ ( in @ SY250 @ sK183_SX0 )
| ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ sK183_SX0 )
| ( SY250 = SY251 )
| ( in @ SY250 @ SY251 ) ) ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1906]) ).
thf(2087,plain,
( ( ( in @ sK200_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1907]) ).
thf(2088,plain,
( ( ( ~ ( ( sK200_SX0 != emptyset ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1908]) ).
thf(2089,plain,
( ( ( ~ ! [SY296: $i] :
~ ~ ( ~ ( in @ SY296 @ sK200_SX0 )
| ~ ! [SY297: $i] :
( ~ ( in @ SY297 @ sK200_SX0 )
| ( SY296 = SY297 )
| ( in @ SY296 @ SY297 ) ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1908]) ).
thf(2090,plain,
( ( ( in @ sK201_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1909]) ).
thf(2091,plain,
( ( ( ~ ( ( sK201_SX0 != emptyset ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1910]) ).
thf(2092,plain,
( ( ( ~ ! [SY298: $i] :
~ ~ ( ~ ( in @ SY298 @ sK201_SX0 )
| ~ ! [SY299: $i] :
( ~ ( in @ SY299 @ sK201_SX0 )
| ( SY298 = SY299 )
| ( in @ SY298 @ SY299 ) ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1910]) ).
thf(2093,plain,
( ( ( in @ sK202_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1911]) ).
thf(2094,plain,
( ( ( ~ ( ( sK202_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1912]) ).
thf(2095,plain,
( ( ( ~ ! [SY300: $i] :
~ ~ ( ~ ( in @ SY300 @ sK202_SX0 )
| ~ ! [SY301: $i] :
( ~ ( in @ SY301 @ sK202_SX0 )
| ( SY300 = SY301 )
| ( in @ SY300 @ SY301 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1912]) ).
thf(2096,plain,
( ( ( in @ sK203_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1913]) ).
thf(2097,plain,
( ( ( ~ ( ( sK203_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(2098,plain,
( ( ( ~ ! [SY302: $i] :
~ ~ ( ~ ( in @ SY302 @ sK203_SX0 )
| ~ ! [SY303: $i] :
( ~ ( in @ SY303 @ sK203_SX0 )
| ( SY302 = SY303 )
| ( in @ SY302 @ SY303 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(2099,plain,
( ( ( ( sK184_SX0 != emptyset ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1916]) ).
thf(2100,plain,
( ( ( ! [SY252: $i] :
~ ~ ( ~ ( in @ SY252 @ sK184_SX0 )
| ~ ! [SY253: $i] :
( ~ ( in @ SY253 @ sK184_SX0 )
| ( SY252 = SY253 )
| ( in @ SY252 @ SY253 ) ) ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1917]) ).
thf(2101,plain,
( ( ( ( sK185_SX0 != emptyset ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1919]) ).
thf(2102,plain,
( ( ( ! [SY254: $i] :
~ ~ ( ~ ( in @ SY254 @ sK185_SX0 )
| ~ ! [SY255: $i] :
( ~ ( in @ SY255 @ sK185_SX0 )
| ( SY254 = SY255 )
| ( in @ SY254 @ SY255 ) ) ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1920]) ).
thf(2103,plain,
! [SV88: $i] :
( ( ( ~ ( ~ ( in @ SV88 @ sK174_SX0 )
| ~ ! [SY342: $i] :
( ~ ( in @ SY342 @ sK174_SX0 )
| ( SV88 = SY342 )
| ( in @ SV88 @ SY342 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1922]) ).
thf(2104,plain,
! [SV89: $i] :
( ( ( ~ ( ~ ( in @ SV89 @ sK175_SX0 )
| ~ ! [SY343: $i] :
( ~ ( in @ SY343 @ sK175_SX0 )
| ( SV89 = SY343 )
| ( in @ SV89 @ SY343 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1924]) ).
thf(2105,plain,
( ( ( ( sK186_SX0 != emptyset ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1926]) ).
thf(2106,plain,
( ( ( ! [SY256: $i] :
~ ~ ( ~ ( in @ SY256 @ sK186_SX0 )
| ~ ! [SY257: $i] :
( ~ ( in @ SY257 @ sK186_SX0 )
| ( SY256 = SY257 )
| ( in @ SY256 @ SY257 ) ) ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1927]) ).
thf(2107,plain,
( ( ( ( sK187_SX0 != emptyset ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1929]) ).
thf(2108,plain,
( ( ( ! [SY258: $i] :
~ ~ ( ~ ( in @ SY258 @ sK187_SX0 )
| ~ ! [SY259: $i] :
( ~ ( in @ SY259 @ sK187_SX0 )
| ( SY258 = SY259 )
| ( in @ SY258 @ SY259 ) ) ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1930]) ).
thf(2109,plain,
( ( ( in @ sK204_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1931]) ).
thf(2110,plain,
( ( ( ~ ( ( sK204_SX0 != emptyset ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1932]) ).
thf(2111,plain,
( ( ( ~ ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ sK204_SX0 )
| ~ ! [SY305: $i] :
( ~ ( in @ SY305 @ sK204_SX0 )
| ( SY304 = SY305 )
| ( in @ SY304 @ SY305 ) ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1932]) ).
thf(2112,plain,
( ( ( in @ sK205_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1933]) ).
thf(2113,plain,
( ( ( ~ ( ( sK205_SX0 != emptyset ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1934]) ).
thf(2114,plain,
( ( ( ~ ! [SY306: $i] :
~ ~ ( ~ ( in @ SY306 @ sK205_SX0 )
| ~ ! [SY307: $i] :
( ~ ( in @ SY307 @ sK205_SX0 )
| ( SY306 = SY307 )
| ( in @ SY306 @ SY307 ) ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1934]) ).
thf(2115,plain,
( ( ( in @ sK206_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1935]) ).
thf(2116,plain,
( ( ( ~ ( ( sK206_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1936]) ).
thf(2117,plain,
( ( ( ~ ! [SY308: $i] :
~ ~ ( ~ ( in @ SY308 @ sK206_SX0 )
| ~ ! [SY309: $i] :
( ~ ( in @ SY309 @ sK206_SX0 )
| ( SY308 = SY309 )
| ( in @ SY308 @ SY309 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1936]) ).
thf(2118,plain,
( ( ( in @ sK207_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1937]) ).
thf(2119,plain,
( ( ( ~ ( ( sK207_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(2120,plain,
( ( ( ~ ! [SY310: $i] :
~ ~ ( ~ ( in @ SY310 @ sK207_SX0 )
| ~ ! [SY311: $i] :
( ~ ( in @ SY311 @ sK207_SX0 )
| ( SY310 = SY311 )
| ( in @ SY310 @ SY311 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(2121,plain,
( ( ( ( sK188_SX0 != emptyset ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1940]) ).
thf(2122,plain,
( ( ( ! [SY260: $i] :
~ ~ ( ~ ( in @ SY260 @ sK188_SX0 )
| ~ ! [SY261: $i] :
( ~ ( in @ SY261 @ sK188_SX0 )
| ( SY260 = SY261 )
| ( in @ SY260 @ SY261 ) ) ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1941]) ).
thf(2123,plain,
( ( ( ( sK189_SX0 != emptyset ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1943]) ).
thf(2124,plain,
( ( ( ! [SY262: $i] :
~ ~ ( ~ ( in @ SY262 @ sK189_SX0 )
| ~ ! [SY263: $i] :
( ~ ( in @ SY263 @ sK189_SX0 )
| ( SY262 = SY263 )
| ( in @ SY262 @ SY263 ) ) ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1944]) ).
thf(2125,plain,
! [SV36: $i] :
( ( ( ! [SY218: $i] :
( ~ ( in @ SY218 @ sK104_SX0 )
| ( SV36 = SY218 )
| ( in @ SV36 @ SY218 ) ) )
= $false )
| ( ( in @ SV36 @ sK104_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1945]) ).
thf(2126,plain,
! [SV37: $i] :
( ( ( ! [SY219: $i] :
( ~ ( in @ SY219 @ sK105_SX0 )
| ( SV37 = SY219 )
| ( in @ SV37 @ SY219 ) ) )
= $false )
| ( ( in @ SV37 @ sK105_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1946]) ).
thf(2127,plain,
! [SV58: $i] :
( ( ( ~ ( in @ SV58 @ sK132_SX0 ) )
= $true )
| ( ( ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ sK132_SX0 )
| ( SV58 = SY264 )
| ( in @ SV58 @ SY264 ) ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1947]) ).
thf(2128,plain,
! [SV59: $i] :
( ( ( ~ ( in @ SV59 @ sK133_SX0 ) )
= $true )
| ( ( ~ ! [SY265: $i] :
( ~ ( in @ SY265 @ sK133_SX0 )
| ( SV59 = SY265 )
| ( in @ SV59 @ SY265 ) ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1948]) ).
thf(2129,plain,
! [SV74: $i] :
( ( ( ~ ( in @ SV74 @ sK156_SX0 )
| ~ ! [SY312: $i] :
( ~ ( in @ SY312 @ sK156_SX0 )
| ( SV74 = SY312 )
| ( in @ SV74 @ SY312 ) ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1949]) ).
thf(2130,plain,
! [SV75: $i] :
( ( ( ~ ( in @ SV75 @ sK157_SX0 )
| ~ ! [SY313: $i] :
( ~ ( in @ SY313 @ sK157_SX0 )
| ( SV75 = SY313 )
| ( in @ SV75 @ SY313 ) ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1950]) ).
thf(2131,plain,
! [SV76: $i] :
( ( ( ~ ( in @ SV76 @ sK158_SX0 )
| ~ ! [SY314: $i] :
( ~ ( in @ SY314 @ sK158_SX0 )
| ( SV76 = SY314 )
| ( in @ SV76 @ SY314 ) ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1951]) ).
thf(2132,plain,
! [SV77: $i] :
( ( ( ~ ( in @ SV77 @ sK159_SX0 )
| ~ ! [SY315: $i] :
( ~ ( in @ SY315 @ sK159_SX0 )
| ( SV77 = SY315 )
| ( in @ SV77 @ SY315 ) ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1952]) ).
thf(2133,plain,
! [SV60: $i] :
( ( ( ~ ( in @ SV60 @ sK134_SX0 ) )
= $true )
| ( ( ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ sK134_SX0 )
| ( SV60 = SY266 )
| ( in @ SV60 @ SY266 ) ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1953]) ).
thf(2134,plain,
! [SV61: $i] :
( ( ( ~ ( in @ SV61 @ sK135_SX0 ) )
= $true )
| ( ( ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ sK135_SX0 )
| ( SV61 = SY267 )
| ( in @ SV61 @ SY267 ) ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1954]) ).
thf(2135,plain,
! [SV16: $i] :
( ( ( ~ ( in @ ( sK222_SY142 @ SV16 ) @ sK68_SX0 ) )
= $false )
| ( ( in @ SV16 @ sK68_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(2136,plain,
! [SV16: $i] :
( ( ( ( SV16
= ( sK222_SY142 @ SV16 ) )
| ( in @ SV16 @ ( sK222_SY142 @ SV16 ) ) )
= $false )
| ( ( in @ SV16 @ sK68_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(2137,plain,
! [SV17: $i] :
( ( ( ~ ( in @ ( sK223_SY143 @ SV17 ) @ sK69_SX0 ) )
= $false )
| ( ( in @ SV17 @ sK69_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1962]) ).
thf(2138,plain,
! [SV17: $i] :
( ( ( ( SV17
= ( sK223_SY143 @ SV17 ) )
| ( in @ SV17 @ ( sK223_SY143 @ SV17 ) ) )
= $false )
| ( ( in @ SV17 @ sK69_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1962]) ).
thf(2139,plain,
! [SV26: $i] :
( ( ( ~ ( in @ ( sK232_SY184 @ SV26 ) @ sK88_SX0 )
| ( SV26
= ( sK232_SY184 @ SV26 ) )
| ( in @ SV26 @ ( sK232_SY184 @ SV26 ) ) )
= $false )
| ( ( in @ SV26 @ sK88_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1963]) ).
thf(2140,plain,
! [SV27: $i] :
( ( ( ~ ( in @ ( sK233_SY185 @ SV27 ) @ sK89_SX0 )
| ( SV27
= ( sK233_SY185 @ SV27 ) )
| ( in @ SV27 @ ( sK233_SY185 @ SV27 ) ) )
= $false )
| ( ( in @ SV27 @ sK89_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1964]) ).
thf(2141,plain,
! [SV28: $i] :
( ( ( ~ ( in @ ( sK234_SY186 @ SV28 ) @ sK90_SX0 )
| ( SV28
= ( sK234_SY186 @ SV28 ) )
| ( in @ SV28 @ ( sK234_SY186 @ SV28 ) ) )
= $false )
| ( ( in @ SV28 @ sK90_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1965]) ).
thf(2142,plain,
! [SV29: $i] :
( ( ( ~ ( in @ ( sK235_SY187 @ SV29 ) @ sK91_SX0 )
| ( SV29
= ( sK235_SY187 @ SV29 ) )
| ( in @ SV29 @ ( sK235_SY187 @ SV29 ) ) )
= $false )
| ( ( in @ SV29 @ sK91_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1966]) ).
thf(2143,plain,
! [SV18: $i] :
( ( ( ~ ( in @ ( sK224_SY144 @ SV18 ) @ sK70_SX0 ) )
= $false )
| ( ( in @ SV18 @ sK70_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1967]) ).
thf(2144,plain,
! [SV18: $i] :
( ( ( ( SV18
= ( sK224_SY144 @ SV18 ) )
| ( in @ SV18 @ ( sK224_SY144 @ SV18 ) ) )
= $false )
| ( ( in @ SV18 @ sK70_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1967]) ).
thf(2145,plain,
! [SV19: $i] :
( ( ( ~ ( in @ ( sK225_SY145 @ SV19 ) @ sK71_SX0 ) )
= $false )
| ( ( in @ SV19 @ sK71_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1968]) ).
thf(2146,plain,
! [SV19: $i] :
( ( ( ( SV19
= ( sK225_SY145 @ SV19 ) )
| ( in @ SV19 @ ( sK225_SY145 @ SV19 ) ) )
= $false )
| ( ( in @ SV19 @ sK71_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1968]) ).
thf(2147,plain,
! [SV20: $i] :
( ( ( ~ ( in @ ( sK226_SY146 @ SV20 ) @ sK72_SX0 ) )
= $false )
| ( ( in @ SV20 @ sK72_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1969]) ).
thf(2148,plain,
! [SV20: $i] :
( ( ( ( SV20
= ( sK226_SY146 @ SV20 ) )
| ( in @ SV20 @ ( sK226_SY146 @ SV20 ) ) )
= $false )
| ( ( in @ SV20 @ sK72_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1969]) ).
thf(2149,plain,
! [SV21: $i] :
( ( ( ~ ( in @ ( sK227_SY147 @ SV21 ) @ sK73_SX0 ) )
= $false )
| ( ( in @ SV21 @ sK73_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1970]) ).
thf(2150,plain,
! [SV21: $i] :
( ( ( ( SV21
= ( sK227_SY147 @ SV21 ) )
| ( in @ SV21 @ ( sK227_SY147 @ SV21 ) ) )
= $false )
| ( ( in @ SV21 @ sK73_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1970]) ).
thf(2151,plain,
! [SV38: $i] :
( ( ( ! [SY220: $i] :
( ~ ( in @ SY220 @ sK106_SX0 )
| ( SV38 = SY220 )
| ( in @ SV38 @ SY220 ) ) )
= $false )
| ( ( in @ SV38 @ sK106_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1971]) ).
thf(2152,plain,
! [SV39: $i] :
( ( ( ! [SY221: $i] :
( ~ ( in @ SY221 @ sK107_SX0 )
| ( SV39 = SY221 )
| ( in @ SV39 @ SY221 ) ) )
= $false )
| ( ( in @ SV39 @ sK107_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1972]) ).
thf(2153,plain,
! [SV50: $i] :
( ( ( in @ SV50 @ sK120_SX0 )
= $false )
| ( ( ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ sK120_SX0 )
| ( SV50 = SY240 )
| ( in @ SV50 @ SY240 ) ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1973]) ).
thf(2154,plain,
! [SV51: $i] :
( ( ( in @ SV51 @ sK121_SX0 )
= $false )
| ( ( ~ ! [SY241: $i] :
( ~ ( in @ SY241 @ sK121_SX0 )
| ( SV51 = SY241 )
| ( in @ SV51 @ SY241 ) ) )
= $true )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1974]) ).
thf(2155,plain,
! [SV52: $i] :
( ( ( in @ SV52 @ sK122_SX0 )
= $false )
| ( ( ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ sK122_SX0 )
| ( SV52 = SY242 )
| ( in @ SV52 @ SY242 ) ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1975]) ).
thf(2156,plain,
! [SV53: $i] :
( ( ( in @ SV53 @ sK123_SX0 )
= $false )
| ( ( ~ ! [SY243: $i] :
( ~ ( in @ SY243 @ sK123_SX0 )
| ( SV53 = SY243 )
| ( in @ SV53 @ SY243 ) ) )
= $true )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1976]) ).
thf(2157,plain,
! [SV40: $i] :
( ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ sK108_SX0 )
| ( SV40 = SY222 )
| ( in @ SV40 @ SY222 ) ) )
= $false )
| ( ( in @ SV40 @ sK108_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1977]) ).
thf(2158,plain,
! [SV41: $i] :
( ( ( ! [SY223: $i] :
( ~ ( in @ SY223 @ sK109_SX0 )
| ( SV41 = SY223 )
| ( in @ SV41 @ SY223 ) ) )
= $false )
| ( ( in @ SV41 @ sK109_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1978]) ).
thf(2159,plain,
! [SV42: $i] :
( ( ( ! [SY224: $i] :
( ~ ( in @ SY224 @ sK110_SX0 )
| ( SV42 = SY224 )
| ( in @ SV42 @ SY224 ) ) )
= $false )
| ( ( in @ SV42 @ sK110_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1979]) ).
thf(2160,plain,
! [SV43: $i] :
( ( ( ! [SY225: $i] :
( ~ ( in @ SY225 @ sK111_SX0 )
| ( SV43 = SY225 )
| ( in @ SV43 @ SY225 ) ) )
= $false )
| ( ( in @ SV43 @ sK111_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1980]) ).
thf(2161,plain,
! [SV62: $i] :
( ( ( ~ ( in @ SV62 @ sK136_SX0 ) )
= $true )
| ( ( ~ ! [SY268: $i] :
( ~ ( in @ SY268 @ sK136_SX0 )
| ( SV62 = SY268 )
| ( in @ SV62 @ SY268 ) ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1981]) ).
thf(2162,plain,
! [SV63: $i] :
( ( ( ~ ( in @ SV63 @ sK137_SX0 ) )
= $true )
| ( ( ~ ! [SY269: $i] :
( ~ ( in @ SY269 @ sK137_SX0 )
| ( SV63 = SY269 )
| ( in @ SV63 @ SY269 ) ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1982]) ).
thf(2163,plain,
! [SV78: $i] :
( ( ( ~ ( in @ SV78 @ sK160_SX0 )
| ~ ! [SY316: $i] :
( ~ ( in @ SY316 @ sK160_SX0 )
| ( SV78 = SY316 )
| ( in @ SV78 @ SY316 ) ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1983]) ).
thf(2164,plain,
! [SV79: $i] :
( ( ( ~ ( in @ SV79 @ sK161_SX0 )
| ~ ! [SY317: $i] :
( ~ ( in @ SY317 @ sK161_SX0 )
| ( SV79 = SY317 )
| ( in @ SV79 @ SY317 ) ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1984]) ).
thf(2165,plain,
! [SV80: $i] :
( ( ( ~ ( in @ SV80 @ sK162_SX0 )
| ~ ! [SY318: $i] :
( ~ ( in @ SY318 @ sK162_SX0 )
| ( SV80 = SY318 )
| ( in @ SV80 @ SY318 ) ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1985]) ).
thf(2166,plain,
! [SV81: $i] :
( ( ( ~ ( in @ SV81 @ sK163_SX0 )
| ~ ! [SY319: $i] :
( ~ ( in @ SY319 @ sK163_SX0 )
| ( SV81 = SY319 )
| ( in @ SV81 @ SY319 ) ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1986]) ).
thf(2167,plain,
! [SV64: $i] :
( ( ( ~ ( in @ SV64 @ sK138_SX0 ) )
= $true )
| ( ( ~ ! [SY270: $i] :
( ~ ( in @ SY270 @ sK138_SX0 )
| ( SV64 = SY270 )
| ( in @ SV64 @ SY270 ) ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1987]) ).
thf(2168,plain,
! [SV65: $i] :
( ( ( ~ ( in @ SV65 @ sK139_SX0 ) )
= $true )
| ( ( ~ ! [SY271: $i] :
( ~ ( in @ SY271 @ sK139_SX0 )
| ( SV65 = SY271 )
| ( in @ SV65 @ SY271 ) ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1988]) ).
thf(2169,plain,
! [SV90: $i] :
( ( ( ~ ( ~ ( in @ SV90 @ sK176_SX0 )
| ~ ! [SY344: $i] :
( ~ ( in @ SY344 @ sK176_SX0 )
| ( SV90 = SY344 )
| ( in @ SV90 @ SY344 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1990]) ).
thf(2170,plain,
! [SV91: $i] :
( ( ( ~ ( ~ ( in @ SV91 @ sK177_SX0 )
| ~ ! [SY345: $i] :
( ~ ( in @ SY345 @ sK177_SX0 )
| ( SV91 = SY345 )
| ( in @ SV91 @ SY345 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1992]) ).
thf(2171,plain,
( ( ( ( sK192_SX0 != emptyset ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1994]) ).
thf(2172,plain,
( ( ( ! [SY272: $i] :
~ ~ ( ~ ( in @ SY272 @ sK192_SX0 )
| ~ ! [SY273: $i] :
( ~ ( in @ SY273 @ sK192_SX0 )
| ( SY272 = SY273 )
| ( in @ SY272 @ SY273 ) ) ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1995]) ).
thf(2173,plain,
( ( ( ( sK193_SX0 != emptyset ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1997]) ).
thf(2174,plain,
( ( ( ! [SY274: $i] :
~ ~ ( ~ ( in @ SY274 @ sK193_SX0 )
| ~ ! [SY275: $i] :
( ~ ( in @ SY275 @ sK193_SX0 )
| ( SY274 = SY275 )
| ( in @ SY274 @ SY275 ) ) ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1998]) ).
thf(2175,plain,
( ( ( in @ sK208_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1999]) ).
thf(2176,plain,
( ( ( ~ ( ( sK208_SX0 != emptyset ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2177,plain,
( ( ( ~ ! [SY320: $i] :
~ ~ ( ~ ( in @ SY320 @ sK208_SX0 )
| ~ ! [SY321: $i] :
( ~ ( in @ SY321 @ sK208_SX0 )
| ( SY320 = SY321 )
| ( in @ SY320 @ SY321 ) ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2178,plain,
( ( ( in @ sK209_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2001]) ).
thf(2179,plain,
( ( ( ~ ( ( sK209_SX0 != emptyset ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2180,plain,
( ( ( ~ ! [SY322: $i] :
~ ~ ( ~ ( in @ SY322 @ sK209_SX0 )
| ~ ! [SY323: $i] :
( ~ ( in @ SY323 @ sK209_SX0 )
| ( SY322 = SY323 )
| ( in @ SY322 @ SY323 ) ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2181,plain,
( ( ( in @ sK210_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2003]) ).
thf(2182,plain,
( ( ( ~ ( ( sK210_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2004]) ).
thf(2183,plain,
( ( ( ~ ! [SY324: $i] :
~ ~ ( ~ ( in @ SY324 @ sK210_SX0 )
| ~ ! [SY325: $i] :
( ~ ( in @ SY325 @ sK210_SX0 )
| ( SY324 = SY325 )
| ( in @ SY324 @ SY325 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2004]) ).
thf(2184,plain,
( ( ( in @ sK211_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2005]) ).
thf(2185,plain,
( ( ( ~ ( ( sK211_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2006]) ).
thf(2186,plain,
( ( ( ~ ! [SY326: $i] :
~ ~ ( ~ ( in @ SY326 @ sK211_SX0 )
| ~ ! [SY327: $i] :
( ~ ( in @ SY327 @ sK211_SX0 )
| ( SY326 = SY327 )
| ( in @ SY326 @ SY327 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2006]) ).
thf(2187,plain,
( ( ( ( sK194_SX0 != emptyset ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2008]) ).
thf(2188,plain,
( ( ( ! [SY276: $i] :
~ ~ ( ~ ( in @ SY276 @ sK194_SX0 )
| ~ ! [SY277: $i] :
( ~ ( in @ SY277 @ sK194_SX0 )
| ( SY276 = SY277 )
| ( in @ SY276 @ SY277 ) ) ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2009]) ).
thf(2189,plain,
( ( ( ( sK195_SX0 != emptyset ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2011]) ).
thf(2190,plain,
( ( ( ! [SY278: $i] :
~ ~ ( ~ ( in @ SY278 @ sK195_SX0 )
| ~ ! [SY279: $i] :
( ~ ( in @ SY279 @ sK195_SX0 )
| ( SY278 = SY279 )
| ( in @ SY278 @ SY279 ) ) ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2012]) ).
thf(2191,plain,
! [SV92: $i] :
( ( ( ~ ( ~ ( in @ SV92 @ sK178_SX0 )
| ~ ! [SY346: $i] :
( ~ ( in @ SY346 @ sK178_SX0 )
| ( SV92 = SY346 )
| ( in @ SV92 @ SY346 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2014]) ).
thf(2192,plain,
! [SV93: $i] :
( ( ( ~ ( ~ ( in @ SV93 @ sK179_SX0 )
| ~ ! [SY347: $i] :
( ~ ( in @ SY347 @ sK179_SX0 )
| ( SV93 = SY347 )
| ( in @ SV93 @ SY347 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2016]) ).
thf(2193,plain,
( ( ( ( sK196_SX0 != emptyset ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2018]) ).
thf(2194,plain,
( ( ( ! [SY280: $i] :
~ ~ ( ~ ( in @ SY280 @ sK196_SX0 )
| ~ ! [SY281: $i] :
( ~ ( in @ SY281 @ sK196_SX0 )
| ( SY280 = SY281 )
| ( in @ SY280 @ SY281 ) ) ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2019]) ).
thf(2195,plain,
( ( ( ( sK197_SX0 != emptyset ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2021]) ).
thf(2196,plain,
( ( ( ! [SY282: $i] :
~ ~ ( ~ ( in @ SY282 @ sK197_SX0 )
| ~ ! [SY283: $i] :
( ~ ( in @ SY283 @ sK197_SX0 )
| ( SY282 = SY283 )
| ( in @ SY282 @ SY283 ) ) ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2022]) ).
thf(2197,plain,
( ( ( in @ sK212_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2023]) ).
thf(2198,plain,
( ( ( ~ ( ( sK212_SX0 != emptyset ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2024]) ).
thf(2199,plain,
( ( ( ~ ! [SY328: $i] :
~ ~ ( ~ ( in @ SY328 @ sK212_SX0 )
| ~ ! [SY329: $i] :
( ~ ( in @ SY329 @ sK212_SX0 )
| ( SY328 = SY329 )
| ( in @ SY328 @ SY329 ) ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2024]) ).
thf(2200,plain,
( ( ( in @ sK213_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2025]) ).
thf(2201,plain,
( ( ( ~ ( ( sK213_SX0 != emptyset ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2026]) ).
thf(2202,plain,
( ( ( ~ ! [SY330: $i] :
~ ~ ( ~ ( in @ SY330 @ sK213_SX0 )
| ~ ! [SY331: $i] :
( ~ ( in @ SY331 @ sK213_SX0 )
| ( SY330 = SY331 )
| ( in @ SY330 @ SY331 ) ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2026]) ).
thf(2203,plain,
( ( ( in @ sK214_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2027]) ).
thf(2204,plain,
( ( ( ~ ( ( sK214_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2028]) ).
thf(2205,plain,
( ( ( ~ ! [SY332: $i] :
~ ~ ( ~ ( in @ SY332 @ sK214_SX0 )
| ~ ! [SY333: $i] :
( ~ ( in @ SY333 @ sK214_SX0 )
| ( SY332 = SY333 )
| ( in @ SY332 @ SY333 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2028]) ).
thf(2206,plain,
( ( ( in @ sK215_SX0 @ ( powerset @ emptyset ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2029]) ).
thf(2207,plain,
( ( ( ~ ( ( sK215_SX0 != emptyset ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2030]) ).
thf(2208,plain,
( ( ( ~ ! [SY334: $i] :
~ ~ ( ~ ( in @ SY334 @ sK215_SX0 )
| ~ ! [SY335: $i] :
( ~ ( in @ SY335 @ sK215_SX0 )
| ( SY334 = SY335 )
| ( in @ SY334 @ SY335 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2030]) ).
thf(2209,plain,
( ( ( ( sK198_SX0 != emptyset ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2032]) ).
thf(2210,plain,
( ( ( ! [SY284: $i] :
~ ~ ( ~ ( in @ SY284 @ sK198_SX0 )
| ~ ! [SY285: $i] :
( ~ ( in @ SY285 @ sK198_SX0 )
| ( SY284 = SY285 )
| ( in @ SY284 @ SY285 ) ) ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2033]) ).
thf(2211,plain,
( ( ( ( sK199_SX0 != emptyset ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2035]) ).
thf(2212,plain,
( ( ( ! [SY286: $i] :
~ ~ ( ~ ( in @ SY286 @ sK199_SX0 )
| ~ ! [SY287: $i] :
( ~ ( in @ SY287 @ sK199_SX0 )
| ( SY286 = SY287 )
| ( in @ SY286 @ SY287 ) ) ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2036]) ).
thf(2213,plain,
! [SV44: $i] :
( ( ( ! [SY234: $i] :
( ~ ( in @ SY234 @ sK114_SX0 )
| ( SV44 = SY234 )
| ( in @ SV44 @ SY234 ) ) )
= $false )
| ( ( in @ SV44 @ sK114_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2037]) ).
thf(2214,plain,
! [SV45: $i] :
( ( ( ! [SY235: $i] :
( ~ ( in @ SY235 @ sK115_SX0 )
| ( SV45 = SY235 )
| ( in @ SV45 @ SY235 ) ) )
= $false )
| ( ( in @ SV45 @ sK115_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2038]) ).
thf(2215,plain,
! [SV66: $i] :
( ( ( ~ ( in @ SV66 @ sK144_SX0 ) )
= $true )
| ( ( ~ ! [SY288: $i] :
( ~ ( in @ SY288 @ sK144_SX0 )
| ( SV66 = SY288 )
| ( in @ SV66 @ SY288 ) ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2039]) ).
thf(2216,plain,
! [SV67: $i] :
( ( ( ~ ( in @ SV67 @ sK145_SX0 ) )
= $true )
| ( ( ~ ! [SY289: $i] :
( ~ ( in @ SY289 @ sK145_SX0 )
| ( SV67 = SY289 )
| ( in @ SV67 @ SY289 ) ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2040]) ).
thf(2217,plain,
! [SV82: $i] :
( ( ( ~ ( in @ SV82 @ sK168_SX0 )
| ~ ! [SY336: $i] :
( ~ ( in @ SY336 @ sK168_SX0 )
| ( SV82 = SY336 )
| ( in @ SV82 @ SY336 ) ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2041]) ).
thf(2218,plain,
! [SV83: $i] :
( ( ( ~ ( in @ SV83 @ sK169_SX0 )
| ~ ! [SY337: $i] :
( ~ ( in @ SY337 @ sK169_SX0 )
| ( SV83 = SY337 )
| ( in @ SV83 @ SY337 ) ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2042]) ).
thf(2219,plain,
! [SV84: $i] :
( ( ( ~ ( in @ SV84 @ sK170_SX0 )
| ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ sK170_SX0 )
| ( SV84 = SY338 )
| ( in @ SV84 @ SY338 ) ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2043]) ).
thf(2220,plain,
! [SV85: $i] :
( ( ( ~ ( in @ SV85 @ sK171_SX0 )
| ~ ! [SY339: $i] :
( ~ ( in @ SY339 @ sK171_SX0 )
| ( SV85 = SY339 )
| ( in @ SV85 @ SY339 ) ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2044]) ).
thf(2221,plain,
! [SV68: $i] :
( ( ( ~ ( in @ SV68 @ sK146_SX0 ) )
= $true )
| ( ( ~ ! [SY290: $i] :
( ~ ( in @ SY290 @ sK146_SX0 )
| ( SV68 = SY290 )
| ( in @ SV68 @ SY290 ) ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2045]) ).
thf(2222,plain,
! [SV69: $i] :
( ( ( ~ ( in @ SV69 @ sK147_SX0 ) )
= $true )
| ( ( ~ ! [SY291: $i] :
( ~ ( in @ SY291 @ sK147_SX0 )
| ( SV69 = SY291 )
| ( in @ SV69 @ SY291 ) ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2046]) ).
thf(2223,plain,
! [SV10: $i] :
( ( ( in @ ( sK216_SY120 @ SV10 ) @ sK56_SX0 )
= $true )
| ( ( in @ SV10 @ sK56_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2047]) ).
thf(2224,plain,
! [SV10: $i] :
( ( ( SV10
= ( sK216_SY120 @ SV10 ) )
= $false )
| ( ( in @ SV10 @ sK56_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2048]) ).
thf(2225,plain,
! [SV10: $i] :
( ( ( in @ SV10 @ ( sK216_SY120 @ SV10 ) )
= $false )
| ( ( in @ SV10 @ sK56_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2048]) ).
thf(2226,plain,
! [SV11: $i] :
( ( ( in @ ( sK217_SY121 @ SV11 ) @ sK57_SX0 )
= $true )
| ( ( in @ SV11 @ sK57_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2049]) ).
thf(2227,plain,
! [SV11: $i] :
( ( ( SV11
= ( sK217_SY121 @ SV11 ) )
= $false )
| ( ( in @ SV11 @ sK57_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2050]) ).
thf(2228,plain,
! [SV11: $i] :
( ( ( in @ SV11 @ ( sK217_SY121 @ SV11 ) )
= $false )
| ( ( in @ SV11 @ sK57_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK22_SX0 @ sK22_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2050]) ).
thf(2229,plain,
! [SV22: $i] :
( ( ( ~ ( in @ ( sK228_SY164 @ SV22 ) @ sK80_SX0 ) )
= $false )
| ( ( in @ SV22 @ sK80_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2051]) ).
thf(2230,plain,
! [SV22: $i] :
( ( ( ( SV22
= ( sK228_SY164 @ SV22 ) )
| ( in @ SV22 @ ( sK228_SY164 @ SV22 ) ) )
= $false )
| ( ( in @ SV22 @ sK80_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2051]) ).
thf(2231,plain,
! [SV23: $i] :
( ( ( ~ ( in @ ( sK229_SY165 @ SV23 ) @ sK81_SX0 ) )
= $false )
| ( ( in @ SV23 @ sK81_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2052]) ).
thf(2232,plain,
! [SV23: $i] :
( ( ( ( SV23
= ( sK229_SY165 @ SV23 ) )
| ( in @ SV23 @ ( sK229_SY165 @ SV23 ) ) )
= $false )
| ( ( in @ SV23 @ sK81_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2052]) ).
thf(2233,plain,
! [SV24: $i] :
( ( ( ~ ( in @ ( sK230_SY166 @ SV24 ) @ sK82_SX0 ) )
= $false )
| ( ( in @ SV24 @ sK82_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2053]) ).
thf(2234,plain,
! [SV24: $i] :
( ( ( ( SV24
= ( sK230_SY166 @ SV24 ) )
| ( in @ SV24 @ ( sK230_SY166 @ SV24 ) ) )
= $false )
| ( ( in @ SV24 @ sK82_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2053]) ).
thf(2235,plain,
! [SV25: $i] :
( ( ( ~ ( in @ ( sK231_SY167 @ SV25 ) @ sK83_SX0 ) )
= $false )
| ( ( in @ SV25 @ sK83_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2054]) ).
thf(2236,plain,
! [SV25: $i] :
( ( ( ( SV25
= ( sK231_SY167 @ SV25 ) )
| ( in @ SV25 @ ( sK231_SY167 @ SV25 ) ) )
= $false )
| ( ( in @ SV25 @ sK83_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2054]) ).
thf(2237,plain,
! [SV12: $i] :
( ( ( in @ ( sK218_SY122 @ SV12 ) @ sK58_SX0 )
= $true )
| ( ( in @ SV12 @ sK58_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2055]) ).
thf(2238,plain,
! [SV12: $i] :
( ( ( SV12
= ( sK218_SY122 @ SV12 ) )
= $false )
| ( ( in @ SV12 @ sK58_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2056]) ).
thf(2239,plain,
! [SV12: $i] :
( ( ( in @ SV12 @ ( sK218_SY122 @ SV12 ) )
= $false )
| ( ( in @ SV12 @ sK58_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2056]) ).
thf(2240,plain,
! [SV13: $i] :
( ( ( in @ ( sK219_SY123 @ SV13 ) @ sK59_SX0 )
= $true )
| ( ( in @ SV13 @ sK59_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2057]) ).
thf(2241,plain,
! [SV13: $i] :
( ( ( SV13
= ( sK219_SY123 @ SV13 ) )
= $false )
| ( ( in @ SV13 @ sK59_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2058]) ).
thf(2242,plain,
! [SV13: $i] :
( ( ( in @ SV13 @ ( sK219_SY123 @ SV13 ) )
= $false )
| ( ( in @ SV13 @ sK59_SX0 )
= $false )
| ( ( in @ sK10_SY8 @ sK6_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK23_SX0 @ sK23_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2058]) ).
thf(2243,plain,
! [SV14: $i] :
( ( ( in @ ( sK220_SY124 @ SV14 ) @ sK60_SX0 )
= $true )
| ( ( in @ SV14 @ sK60_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2059]) ).
thf(2244,plain,
! [SV14: $i] :
( ( ( SV14
= ( sK220_SY124 @ SV14 ) )
= $false )
| ( ( in @ SV14 @ sK60_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2060]) ).
thf(2245,plain,
! [SV14: $i] :
( ( ( in @ SV14 @ ( sK220_SY124 @ SV14 ) )
= $false )
| ( ( in @ SV14 @ sK60_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2060]) ).
thf(2246,plain,
! [SV15: $i] :
( ( ( in @ ( sK221_SY125 @ SV15 ) @ sK61_SX0 )
= $true )
| ( ( in @ SV15 @ sK61_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2061]) ).
thf(2247,plain,
! [SV15: $i] :
( ( ( SV15
= ( sK221_SY125 @ SV15 ) )
= $false )
| ( ( in @ SV15 @ sK61_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2062]) ).
thf(2248,plain,
! [SV15: $i] :
( ( ( in @ SV15 @ ( sK221_SY125 @ SV15 ) )
= $false )
| ( ( in @ SV15 @ sK61_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK24_SX0 @ sK24_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2062]) ).
thf(2249,plain,
! [SV30: $i] :
( ( ( ~ ( in @ ( sK236_SY204 @ SV30 ) @ sK96_SX0 )
| ( SV30
= ( sK236_SY204 @ SV30 ) )
| ( in @ SV30 @ ( sK236_SY204 @ SV30 ) ) )
= $false )
| ( ( in @ SV30 @ sK96_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2063]) ).
thf(2250,plain,
! [SV31: $i] :
( ( ( ~ ( in @ ( sK237_SY205 @ SV31 ) @ sK97_SX0 )
| ( SV31
= ( sK237_SY205 @ SV31 ) )
| ( in @ SV31 @ ( sK237_SY205 @ SV31 ) ) )
= $false )
| ( ( in @ SV31 @ sK97_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2064]) ).
thf(2251,plain,
! [SV46: $i] :
( ( ( ! [SY236: $i] :
( ~ ( in @ SY236 @ sK116_SX0 )
| ( SV46 = SY236 )
| ( in @ SV46 @ SY236 ) ) )
= $false )
| ( ( in @ SV46 @ sK116_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2065]) ).
thf(2252,plain,
! [SV47: $i] :
( ( ( ! [SY237: $i] :
( ~ ( in @ SY237 @ sK117_SX0 )
| ( SV47 = SY237 )
| ( in @ SV47 @ SY237 ) ) )
= $false )
| ( ( in @ SV47 @ sK117_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2066]) ).
thf(2253,plain,
! [SV48: $i] :
( ( ( ! [SY238: $i] :
( ~ ( in @ SY238 @ sK118_SX0 )
| ( SV48 = SY238 )
| ( in @ SV48 @ SY238 ) ) )
= $false )
| ( ( in @ SV48 @ sK118_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2067]) ).
thf(2254,plain,
! [SV49: $i] :
( ( ( ! [SY239: $i] :
( ~ ( in @ SY239 @ sK119_SX0 )
| ( SV49 = SY239 )
| ( in @ SV49 @ SY239 ) ) )
= $false )
| ( ( in @ SV49 @ sK119_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2068]) ).
thf(2255,plain,
! [SV32: $i] :
( ( ( ~ ( in @ ( sK238_SY206 @ SV32 ) @ sK98_SX0 )
| ( SV32
= ( sK238_SY206 @ SV32 ) )
| ( in @ SV32 @ ( sK238_SY206 @ SV32 ) ) )
= $false )
| ( ( in @ SV32 @ sK98_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2069]) ).
thf(2256,plain,
! [SV33: $i] :
( ( ( ~ ( in @ ( sK239_SY207 @ SV33 ) @ sK99_SX0 )
| ( SV33
= ( sK239_SY207 @ SV33 ) )
| ( in @ SV33 @ ( sK239_SY207 @ SV33 ) ) )
= $false )
| ( ( in @ SV33 @ sK99_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2070]) ).
thf(2257,plain,
! [SV34: $i] :
( ( ( ~ ( in @ ( sK240_SY208 @ SV34 ) @ sK100_SX0 )
| ( SV34
= ( sK240_SY208 @ SV34 ) )
| ( in @ SV34 @ ( sK240_SY208 @ SV34 ) ) )
= $false )
| ( ( in @ SV34 @ sK100_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2071]) ).
thf(2258,plain,
! [SV35: $i] :
( ( ( ~ ( in @ ( sK241_SY209 @ SV35 ) @ sK101_SX0 )
| ( SV35
= ( sK241_SY209 @ SV35 ) )
| ( in @ SV35 @ ( sK241_SY209 @ SV35 ) ) )
= $false )
| ( ( in @ SV35 @ sK101_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2072]) ).
thf(2259,plain,
! [SV54: $i] :
( ( ( in @ SV54 @ sK124_SX0 )
= $false )
| ( ( ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ sK124_SX0 )
| ( SV54 = SY244 )
| ( in @ SV54 @ SY244 ) ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2073]) ).
thf(2260,plain,
! [SV55: $i] :
( ( ( in @ SV55 @ sK125_SX0 )
= $false )
| ( ( ~ ! [SY245: $i] :
( ~ ( in @ SY245 @ sK125_SX0 )
| ( SV55 = SY245 )
| ( in @ SV55 @ SY245 ) ) )
= $true )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2074]) ).
thf(2261,plain,
! [SV70: $i] :
( ( ( ~ ( in @ SV70 @ sK148_SX0 ) )
= $true )
| ( ( ~ ! [SY292: $i] :
( ~ ( in @ SY292 @ sK148_SX0 )
| ( SV70 = SY292 )
| ( in @ SV70 @ SY292 ) ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2075]) ).
thf(2262,plain,
! [SV71: $i] :
( ( ( ~ ( in @ SV71 @ sK149_SX0 ) )
= $true )
| ( ( ~ ! [SY293: $i] :
( ~ ( in @ SY293 @ sK149_SX0 )
| ( SV71 = SY293 )
| ( in @ SV71 @ SY293 ) ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2076]) ).
thf(2263,plain,
! [SV72: $i] :
( ( ( ~ ( in @ SV72 @ sK150_SX0 ) )
= $true )
| ( ( ~ ! [SY294: $i] :
( ~ ( in @ SY294 @ sK150_SX0 )
| ( SV72 = SY294 )
| ( in @ SV72 @ SY294 ) ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2077]) ).
thf(2264,plain,
! [SV73: $i] :
( ( ( ~ ( in @ SV73 @ sK151_SX0 ) )
= $true )
| ( ( ~ ! [SY295: $i] :
( ~ ( in @ SY295 @ sK151_SX0 )
| ( SV73 = SY295 )
| ( in @ SV73 @ SY295 ) ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2078]) ).
thf(2265,plain,
! [SV56: $i] :
( ( ( in @ SV56 @ sK126_SX0 )
= $false )
| ( ( ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ sK126_SX0 )
| ( SV56 = SY246 )
| ( in @ SV56 @ SY246 ) ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2079]) ).
thf(2266,plain,
! [SV57: $i] :
( ( ( in @ SV57 @ sK127_SX0 )
= $false )
| ( ( ~ ! [SY247: $i] :
( ~ ( in @ SY247 @ sK127_SX0 )
| ( SV57 = SY247 )
| ( in @ SV57 @ SY247 ) ) )
= $true )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2080]) ).
thf(2267,plain,
! [SV86: $i] :
( ( ( ~ ( in @ SV86 @ sK172_SX0 )
| ~ ! [SY340: $i] :
( ~ ( in @ SY340 @ sK172_SX0 )
| ( SV86 = SY340 )
| ( in @ SV86 @ SY340 ) ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2081]) ).
thf(2268,plain,
! [SV87: $i] :
( ( ( ~ ( in @ SV87 @ sK173_SX0 )
| ~ ! [SY341: $i] :
( ~ ( in @ SY341 @ sK173_SX0 )
| ( SV87 = SY341 )
| ( in @ SV87 @ SY341 ) ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2082]) ).
thf(2269,plain,
( ( ( sK182_SX0 = emptyset )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2083]) ).
thf(2270,plain,
! [SV94: $i] :
( ( ( ~ ~ ( ~ ( in @ SV94 @ sK182_SX0 )
| ~ ! [SY348: $i] :
( ~ ( in @ SY348 @ sK182_SX0 )
| ( SV94 = SY348 )
| ( in @ SV94 @ SY348 ) ) ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2271,plain,
( ( ( sK183_SX0 = emptyset )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2085]) ).
thf(2272,plain,
! [SV95: $i] :
( ( ( ~ ~ ( ~ ( in @ SV95 @ sK183_SX0 )
| ~ ! [SY349: $i] :
( ~ ( in @ SY349 @ sK183_SX0 )
| ( SV95 = SY349 )
| ( in @ SV95 @ SY349 ) ) ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2086]) ).
thf(2273,plain,
( ( ( ( sK200_SX0 != emptyset ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2088]) ).
thf(2274,plain,
( ( ( ! [SY296: $i] :
~ ~ ( ~ ( in @ SY296 @ sK200_SX0 )
| ~ ! [SY297: $i] :
( ~ ( in @ SY297 @ sK200_SX0 )
| ( SY296 = SY297 )
| ( in @ SY296 @ SY297 ) ) ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2089]) ).
thf(2275,plain,
( ( ( ( sK201_SX0 != emptyset ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2091]) ).
thf(2276,plain,
( ( ( ! [SY298: $i] :
~ ~ ( ~ ( in @ SY298 @ sK201_SX0 )
| ~ ! [SY299: $i] :
( ~ ( in @ SY299 @ sK201_SX0 )
| ( SY298 = SY299 )
| ( in @ SY298 @ SY299 ) ) ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2092]) ).
thf(2277,plain,
( ( ( ( sK202_SX0 != emptyset ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2094]) ).
thf(2278,plain,
( ( ( ! [SY300: $i] :
~ ~ ( ~ ( in @ SY300 @ sK202_SX0 )
| ~ ! [SY301: $i] :
( ~ ( in @ SY301 @ sK202_SX0 )
| ( SY300 = SY301 )
| ( in @ SY300 @ SY301 ) ) ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2095]) ).
thf(2279,plain,
( ( ( ( sK203_SX0 != emptyset ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2097]) ).
thf(2280,plain,
( ( ( ! [SY302: $i] :
~ ~ ( ~ ( in @ SY302 @ sK203_SX0 )
| ~ ! [SY303: $i] :
( ~ ( in @ SY303 @ sK203_SX0 )
| ( SY302 = SY303 )
| ( in @ SY302 @ SY303 ) ) ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2098]) ).
thf(2281,plain,
( ( ( sK184_SX0 = emptyset )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2099]) ).
thf(2282,plain,
! [SV96: $i] :
( ( ( ~ ~ ( ~ ( in @ SV96 @ sK184_SX0 )
| ~ ! [SY350: $i] :
( ~ ( in @ SY350 @ sK184_SX0 )
| ( SV96 = SY350 )
| ( in @ SV96 @ SY350 ) ) ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2100]) ).
thf(2283,plain,
( ( ( sK185_SX0 = emptyset )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2101]) ).
thf(2284,plain,
! [SV97: $i] :
( ( ( ~ ~ ( ~ ( in @ SV97 @ sK185_SX0 )
| ~ ! [SY351: $i] :
( ~ ( in @ SY351 @ sK185_SX0 )
| ( SV97 = SY351 )
| ( in @ SV97 @ SY351 ) ) ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2102]) ).
thf(2285,plain,
! [SV88: $i] :
( ( ( ~ ( in @ SV88 @ sK174_SX0 )
| ~ ! [SY342: $i] :
( ~ ( in @ SY342 @ sK174_SX0 )
| ( SV88 = SY342 )
| ( in @ SV88 @ SY342 ) ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2103]) ).
thf(2286,plain,
! [SV89: $i] :
( ( ( ~ ( in @ SV89 @ sK175_SX0 )
| ~ ! [SY343: $i] :
( ~ ( in @ SY343 @ sK175_SX0 )
| ( SV89 = SY343 )
| ( in @ SV89 @ SY343 ) ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2104]) ).
thf(2287,plain,
( ( ( sK186_SX0 = emptyset )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2105]) ).
thf(2288,plain,
! [SV98: $i] :
( ( ( ~ ~ ( ~ ( in @ SV98 @ sK186_SX0 )
| ~ ! [SY352: $i] :
( ~ ( in @ SY352 @ sK186_SX0 )
| ( SV98 = SY352 )
| ( in @ SV98 @ SY352 ) ) ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2106]) ).
thf(2289,plain,
( ( ( sK187_SX0 = emptyset )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2107]) ).
thf(2290,plain,
! [SV99: $i] :
( ( ( ~ ~ ( ~ ( in @ SV99 @ sK187_SX0 )
| ~ ! [SY353: $i] :
( ~ ( in @ SY353 @ sK187_SX0 )
| ( SV99 = SY353 )
| ( in @ SV99 @ SY353 ) ) ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2108]) ).
thf(2291,plain,
( ( ( ( sK204_SX0 != emptyset ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2110]) ).
thf(2292,plain,
( ( ( ! [SY304: $i] :
~ ~ ( ~ ( in @ SY304 @ sK204_SX0 )
| ~ ! [SY305: $i] :
( ~ ( in @ SY305 @ sK204_SX0 )
| ( SY304 = SY305 )
| ( in @ SY304 @ SY305 ) ) ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2111]) ).
thf(2293,plain,
( ( ( ( sK205_SX0 != emptyset ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2113]) ).
thf(2294,plain,
( ( ( ! [SY306: $i] :
~ ~ ( ~ ( in @ SY306 @ sK205_SX0 )
| ~ ! [SY307: $i] :
( ~ ( in @ SY307 @ sK205_SX0 )
| ( SY306 = SY307 )
| ( in @ SY306 @ SY307 ) ) ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2114]) ).
thf(2295,plain,
( ( ( ( sK206_SX0 != emptyset ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2116]) ).
thf(2296,plain,
( ( ( ! [SY308: $i] :
~ ~ ( ~ ( in @ SY308 @ sK206_SX0 )
| ~ ! [SY309: $i] :
( ~ ( in @ SY309 @ sK206_SX0 )
| ( SY308 = SY309 )
| ( in @ SY308 @ SY309 ) ) ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2117]) ).
thf(2297,plain,
( ( ( ( sK207_SX0 != emptyset ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2119]) ).
thf(2298,plain,
( ( ( ! [SY310: $i] :
~ ~ ( ~ ( in @ SY310 @ sK207_SX0 )
| ~ ! [SY311: $i] :
( ~ ( in @ SY311 @ sK207_SX0 )
| ( SY310 = SY311 )
| ( in @ SY310 @ SY311 ) ) ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2120]) ).
thf(2299,plain,
( ( ( sK188_SX0 = emptyset )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2121]) ).
thf(2300,plain,
! [SV100: $i] :
( ( ( ~ ~ ( ~ ( in @ SV100 @ sK188_SX0 )
| ~ ! [SY354: $i] :
( ~ ( in @ SY354 @ sK188_SX0 )
| ( SV100 = SY354 )
| ( in @ SV100 @ SY354 ) ) ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2122]) ).
thf(2301,plain,
( ( ( sK189_SX0 = emptyset )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2123]) ).
thf(2302,plain,
! [SV101: $i] :
( ( ( ~ ~ ( ~ ( in @ SV101 @ sK189_SX0 )
| ~ ! [SY355: $i] :
( ~ ( in @ SY355 @ sK189_SX0 )
| ( SV101 = SY355 )
| ( in @ SV101 @ SY355 ) ) ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2124]) ).
thf(2303,plain,
! [SV36: $i] :
( ( ( ~ ( in @ ( sK242_SY218 @ SV36 ) @ sK104_SX0 )
| ( SV36
= ( sK242_SY218 @ SV36 ) )
| ( in @ SV36 @ ( sK242_SY218 @ SV36 ) ) )
= $false )
| ( ( in @ SV36 @ sK104_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2125]) ).
thf(2304,plain,
! [SV37: $i] :
( ( ( ~ ( in @ ( sK243_SY219 @ SV37 ) @ sK105_SX0 )
| ( SV37
= ( sK243_SY219 @ SV37 ) )
| ( in @ SV37 @ ( sK243_SY219 @ SV37 ) ) )
= $false )
| ( ( in @ SV37 @ sK105_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2126]) ).
thf(2305,plain,
! [SV58: $i] :
( ( ( in @ SV58 @ sK132_SX0 )
= $false )
| ( ( ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ sK132_SX0 )
| ( SV58 = SY264 )
| ( in @ SV58 @ SY264 ) ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2127]) ).
thf(2306,plain,
! [SV59: $i] :
( ( ( in @ SV59 @ sK133_SX0 )
= $false )
| ( ( ~ ! [SY265: $i] :
( ~ ( in @ SY265 @ sK133_SX0 )
| ( SV59 = SY265 )
| ( in @ SV59 @ SY265 ) ) )
= $true )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2128]) ).
thf(2307,plain,
! [SV74: $i] :
( ( ( ~ ( in @ SV74 @ sK156_SX0 ) )
= $true )
| ( ( ~ ! [SY312: $i] :
( ~ ( in @ SY312 @ sK156_SX0 )
| ( SV74 = SY312 )
| ( in @ SV74 @ SY312 ) ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2129]) ).
thf(2308,plain,
! [SV75: $i] :
( ( ( ~ ( in @ SV75 @ sK157_SX0 ) )
= $true )
| ( ( ~ ! [SY313: $i] :
( ~ ( in @ SY313 @ sK157_SX0 )
| ( SV75 = SY313 )
| ( in @ SV75 @ SY313 ) ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2130]) ).
thf(2309,plain,
! [SV76: $i] :
( ( ( ~ ( in @ SV76 @ sK158_SX0 ) )
= $true )
| ( ( ~ ! [SY314: $i] :
( ~ ( in @ SY314 @ sK158_SX0 )
| ( SV76 = SY314 )
| ( in @ SV76 @ SY314 ) ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2131]) ).
thf(2310,plain,
! [SV77: $i] :
( ( ( ~ ( in @ SV77 @ sK159_SX0 ) )
= $true )
| ( ( ~ ! [SY315: $i] :
( ~ ( in @ SY315 @ sK159_SX0 )
| ( SV77 = SY315 )
| ( in @ SV77 @ SY315 ) ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2132]) ).
thf(2311,plain,
! [SV60: $i] :
( ( ( in @ SV60 @ sK134_SX0 )
= $false )
| ( ( ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ sK134_SX0 )
| ( SV60 = SY266 )
| ( in @ SV60 @ SY266 ) ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2133]) ).
thf(2312,plain,
! [SV61: $i] :
( ( ( in @ SV61 @ sK135_SX0 )
= $false )
| ( ( ~ ! [SY267: $i] :
( ~ ( in @ SY267 @ sK135_SX0 )
| ( SV61 = SY267 )
| ( in @ SV61 @ SY267 ) ) )
= $true )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2134]) ).
thf(2313,plain,
! [SV16: $i] :
( ( ( in @ ( sK222_SY142 @ SV16 ) @ sK68_SX0 )
= $true )
| ( ( in @ SV16 @ sK68_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2135]) ).
thf(2314,plain,
! [SV16: $i] :
( ( ( SV16
= ( sK222_SY142 @ SV16 ) )
= $false )
| ( ( in @ SV16 @ sK68_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2136]) ).
thf(2315,plain,
! [SV16: $i] :
( ( ( in @ SV16 @ ( sK222_SY142 @ SV16 ) )
= $false )
| ( ( in @ SV16 @ sK68_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2136]) ).
thf(2316,plain,
! [SV17: $i] :
( ( ( in @ ( sK223_SY143 @ SV17 ) @ sK69_SX0 )
= $true )
| ( ( in @ SV17 @ sK69_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2137]) ).
thf(2317,plain,
! [SV17: $i] :
( ( ( SV17
= ( sK223_SY143 @ SV17 ) )
= $false )
| ( ( in @ SV17 @ sK69_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2138]) ).
thf(2318,plain,
! [SV17: $i] :
( ( ( in @ SV17 @ ( sK223_SY143 @ SV17 ) )
= $false )
| ( ( in @ SV17 @ sK69_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK27_SX0 @ sK27_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2138]) ).
thf(2319,plain,
! [SV26: $i] :
( ( ( ~ ( in @ ( sK232_SY184 @ SV26 ) @ sK88_SX0 ) )
= $false )
| ( ( in @ SV26 @ sK88_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2139]) ).
thf(2320,plain,
! [SV26: $i] :
( ( ( ( SV26
= ( sK232_SY184 @ SV26 ) )
| ( in @ SV26 @ ( sK232_SY184 @ SV26 ) ) )
= $false )
| ( ( in @ SV26 @ sK88_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2139]) ).
thf(2321,plain,
! [SV27: $i] :
( ( ( ~ ( in @ ( sK233_SY185 @ SV27 ) @ sK89_SX0 ) )
= $false )
| ( ( in @ SV27 @ sK89_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2140]) ).
thf(2322,plain,
! [SV27: $i] :
( ( ( ( SV27
= ( sK233_SY185 @ SV27 ) )
| ( in @ SV27 @ ( sK233_SY185 @ SV27 ) ) )
= $false )
| ( ( in @ SV27 @ sK89_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2140]) ).
thf(2323,plain,
! [SV28: $i] :
( ( ( ~ ( in @ ( sK234_SY186 @ SV28 ) @ sK90_SX0 ) )
= $false )
| ( ( in @ SV28 @ sK90_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2141]) ).
thf(2324,plain,
! [SV28: $i] :
( ( ( ( SV28
= ( sK234_SY186 @ SV28 ) )
| ( in @ SV28 @ ( sK234_SY186 @ SV28 ) ) )
= $false )
| ( ( in @ SV28 @ sK90_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2141]) ).
thf(2325,plain,
! [SV29: $i] :
( ( ( ~ ( in @ ( sK235_SY187 @ SV29 ) @ sK91_SX0 ) )
= $false )
| ( ( in @ SV29 @ sK91_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2142]) ).
thf(2326,plain,
! [SV29: $i] :
( ( ( ( SV29
= ( sK235_SY187 @ SV29 ) )
| ( in @ SV29 @ ( sK235_SY187 @ SV29 ) ) )
= $false )
| ( ( in @ SV29 @ sK91_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2142]) ).
thf(2327,plain,
! [SV18: $i] :
( ( ( in @ ( sK224_SY144 @ SV18 ) @ sK70_SX0 )
= $true )
| ( ( in @ SV18 @ sK70_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2143]) ).
thf(2328,plain,
! [SV18: $i] :
( ( ( SV18
= ( sK224_SY144 @ SV18 ) )
= $false )
| ( ( in @ SV18 @ sK70_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2144]) ).
thf(2329,plain,
! [SV18: $i] :
( ( ( in @ SV18 @ ( sK224_SY144 @ SV18 ) )
= $false )
| ( ( in @ SV18 @ sK70_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2144]) ).
thf(2330,plain,
! [SV19: $i] :
( ( ( in @ ( sK225_SY145 @ SV19 ) @ sK71_SX0 )
= $true )
| ( ( in @ SV19 @ sK71_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2145]) ).
thf(2331,plain,
! [SV19: $i] :
( ( ( SV19
= ( sK225_SY145 @ SV19 ) )
= $false )
| ( ( in @ SV19 @ sK71_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2146]) ).
thf(2332,plain,
! [SV19: $i] :
( ( ( in @ SV19 @ ( sK225_SY145 @ SV19 ) )
= $false )
| ( ( in @ SV19 @ sK71_SX0 )
= $false )
| ( ( in @ sK12_SY9 @ sK8_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK28_SX0 @ sK28_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2146]) ).
thf(2333,plain,
! [SV20: $i] :
( ( ( in @ ( sK226_SY146 @ SV20 ) @ sK72_SX0 )
= $true )
| ( ( in @ SV20 @ sK72_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2147]) ).
thf(2334,plain,
! [SV20: $i] :
( ( ( SV20
= ( sK226_SY146 @ SV20 ) )
= $false )
| ( ( in @ SV20 @ sK72_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2148]) ).
thf(2335,plain,
! [SV20: $i] :
( ( ( in @ SV20 @ ( sK226_SY146 @ SV20 ) )
= $false )
| ( ( in @ SV20 @ sK72_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2148]) ).
thf(2336,plain,
! [SV21: $i] :
( ( ( in @ ( sK227_SY147 @ SV21 ) @ sK73_SX0 )
= $true )
| ( ( in @ SV21 @ sK73_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2149]) ).
thf(2337,plain,
! [SV21: $i] :
( ( ( SV21
= ( sK227_SY147 @ SV21 ) )
= $false )
| ( ( in @ SV21 @ sK73_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2150]) ).
thf(2338,plain,
! [SV21: $i] :
( ( ( in @ SV21 @ ( sK227_SY147 @ SV21 ) )
= $false )
| ( ( in @ SV21 @ sK73_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK29_SX0 @ sK29_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2150]) ).
thf(2339,plain,
! [SV38: $i] :
( ( ( ~ ( in @ ( sK244_SY220 @ SV38 ) @ sK106_SX0 )
| ( SV38
= ( sK244_SY220 @ SV38 ) )
| ( in @ SV38 @ ( sK244_SY220 @ SV38 ) ) )
= $false )
| ( ( in @ SV38 @ sK106_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2151]) ).
thf(2340,plain,
! [SV39: $i] :
( ( ( ~ ( in @ ( sK245_SY221 @ SV39 ) @ sK107_SX0 )
| ( SV39
= ( sK245_SY221 @ SV39 ) )
| ( in @ SV39 @ ( sK245_SY221 @ SV39 ) ) )
= $false )
| ( ( in @ SV39 @ sK107_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2152]) ).
thf(2341,plain,
! [SV50: $i] :
( ( ( ! [SY240: $i] :
( ~ ( in @ SY240 @ sK120_SX0 )
| ( SV50 = SY240 )
| ( in @ SV50 @ SY240 ) ) )
= $false )
| ( ( in @ SV50 @ sK120_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2153]) ).
thf(2342,plain,
! [SV51: $i] :
( ( ( ! [SY241: $i] :
( ~ ( in @ SY241 @ sK121_SX0 )
| ( SV51 = SY241 )
| ( in @ SV51 @ SY241 ) ) )
= $false )
| ( ( in @ SV51 @ sK121_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2154]) ).
thf(2343,plain,
! [SV52: $i] :
( ( ( ! [SY242: $i] :
( ~ ( in @ SY242 @ sK122_SX0 )
| ( SV52 = SY242 )
| ( in @ SV52 @ SY242 ) ) )
= $false )
| ( ( in @ SV52 @ sK122_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2155]) ).
thf(2344,plain,
! [SV53: $i] :
( ( ( ! [SY243: $i] :
( ~ ( in @ SY243 @ sK123_SX0 )
| ( SV53 = SY243 )
| ( in @ SV53 @ SY243 ) ) )
= $false )
| ( ( in @ SV53 @ sK123_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2156]) ).
thf(2345,plain,
! [SV40: $i] :
( ( ( ~ ( in @ ( sK246_SY222 @ SV40 ) @ sK108_SX0 )
| ( SV40
= ( sK246_SY222 @ SV40 ) )
| ( in @ SV40 @ ( sK246_SY222 @ SV40 ) ) )
= $false )
| ( ( in @ SV40 @ sK108_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2157]) ).
thf(2346,plain,
! [SV41: $i] :
( ( ( ~ ( in @ ( sK247_SY223 @ SV41 ) @ sK109_SX0 )
| ( SV41
= ( sK247_SY223 @ SV41 ) )
| ( in @ SV41 @ ( sK247_SY223 @ SV41 ) ) )
= $false )
| ( ( in @ SV41 @ sK109_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2158]) ).
thf(2347,plain,
! [SV42: $i] :
( ( ( ~ ( in @ ( sK248_SY224 @ SV42 ) @ sK110_SX0 )
| ( SV42
= ( sK248_SY224 @ SV42 ) )
| ( in @ SV42 @ ( sK248_SY224 @ SV42 ) ) )
= $false )
| ( ( in @ SV42 @ sK110_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2159]) ).
thf(2348,plain,
! [SV43: $i] :
( ( ( ~ ( in @ ( sK249_SY225 @ SV43 ) @ sK111_SX0 )
| ( SV43
= ( sK249_SY225 @ SV43 ) )
| ( in @ SV43 @ ( sK249_SY225 @ SV43 ) ) )
= $false )
| ( ( in @ SV43 @ sK111_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2160]) ).
thf(2349,plain,
! [SV62: $i] :
( ( ( in @ SV62 @ sK136_SX0 )
= $false )
| ( ( ~ ! [SY268: $i] :
( ~ ( in @ SY268 @ sK136_SX0 )
| ( SV62 = SY268 )
| ( in @ SV62 @ SY268 ) ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2161]) ).
thf(2350,plain,
! [SV63: $i] :
( ( ( in @ SV63 @ sK137_SX0 )
= $false )
| ( ( ~ ! [SY269: $i] :
( ~ ( in @ SY269 @ sK137_SX0 )
| ( SV63 = SY269 )
| ( in @ SV63 @ SY269 ) ) )
= $true )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2162]) ).
thf(2351,plain,
! [SV78: $i] :
( ( ( ~ ( in @ SV78 @ sK160_SX0 ) )
= $true )
| ( ( ~ ! [SY316: $i] :
( ~ ( in @ SY316 @ sK160_SX0 )
| ( SV78 = SY316 )
| ( in @ SV78 @ SY316 ) ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2163]) ).
thf(2352,plain,
! [SV79: $i] :
( ( ( ~ ( in @ SV79 @ sK161_SX0 ) )
= $true )
| ( ( ~ ! [SY317: $i] :
( ~ ( in @ SY317 @ sK161_SX0 )
| ( SV79 = SY317 )
| ( in @ SV79 @ SY317 ) ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2164]) ).
thf(2353,plain,
! [SV80: $i] :
( ( ( ~ ( in @ SV80 @ sK162_SX0 ) )
= $true )
| ( ( ~ ! [SY318: $i] :
( ~ ( in @ SY318 @ sK162_SX0 )
| ( SV80 = SY318 )
| ( in @ SV80 @ SY318 ) ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2165]) ).
thf(2354,plain,
! [SV81: $i] :
( ( ( ~ ( in @ SV81 @ sK163_SX0 ) )
= $true )
| ( ( ~ ! [SY319: $i] :
( ~ ( in @ SY319 @ sK163_SX0 )
| ( SV81 = SY319 )
| ( in @ SV81 @ SY319 ) ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2166]) ).
thf(2355,plain,
! [SV64: $i] :
( ( ( in @ SV64 @ sK138_SX0 )
= $false )
| ( ( ~ ! [SY270: $i] :
( ~ ( in @ SY270 @ sK138_SX0 )
| ( SV64 = SY270 )
| ( in @ SV64 @ SY270 ) ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2167]) ).
thf(2356,plain,
! [SV65: $i] :
( ( ( in @ SV65 @ sK139_SX0 )
= $false )
| ( ( ~ ! [SY271: $i] :
( ~ ( in @ SY271 @ sK139_SX0 )
| ( SV65 = SY271 )
| ( in @ SV65 @ SY271 ) ) )
= $true )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2168]) ).
thf(2357,plain,
! [SV90: $i] :
( ( ( ~ ( in @ SV90 @ sK176_SX0 )
| ~ ! [SY344: $i] :
( ~ ( in @ SY344 @ sK176_SX0 )
| ( SV90 = SY344 )
| ( in @ SV90 @ SY344 ) ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2169]) ).
thf(2358,plain,
! [SV91: $i] :
( ( ( ~ ( in @ SV91 @ sK177_SX0 )
| ~ ! [SY345: $i] :
( ~ ( in @ SY345 @ sK177_SX0 )
| ( SV91 = SY345 )
| ( in @ SV91 @ SY345 ) ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2170]) ).
thf(2359,plain,
( ( ( sK192_SX0 = emptyset )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2171]) ).
thf(2360,plain,
! [SV102: $i] :
( ( ( ~ ~ ( ~ ( in @ SV102 @ sK192_SX0 )
| ~ ! [SY356: $i] :
( ~ ( in @ SY356 @ sK192_SX0 )
| ( SV102 = SY356 )
| ( in @ SV102 @ SY356 ) ) ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2172]) ).
thf(2361,plain,
( ( ( sK193_SX0 = emptyset )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2173]) ).
thf(2362,plain,
! [SV103: $i] :
( ( ( ~ ~ ( ~ ( in @ SV103 @ sK193_SX0 )
| ~ ! [SY357: $i] :
( ~ ( in @ SY357 @ sK193_SX0 )
| ( SV103 = SY357 )
| ( in @ SV103 @ SY357 ) ) ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2174]) ).
thf(2363,plain,
( ( ( ( sK208_SX0 != emptyset ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2176]) ).
thf(2364,plain,
( ( ( ! [SY320: $i] :
~ ~ ( ~ ( in @ SY320 @ sK208_SX0 )
| ~ ! [SY321: $i] :
( ~ ( in @ SY321 @ sK208_SX0 )
| ( SY320 = SY321 )
| ( in @ SY320 @ SY321 ) ) ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2177]) ).
thf(2365,plain,
( ( ( ( sK209_SX0 != emptyset ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2179]) ).
thf(2366,plain,
( ( ( ! [SY322: $i] :
~ ~ ( ~ ( in @ SY322 @ sK209_SX0 )
| ~ ! [SY323: $i] :
( ~ ( in @ SY323 @ sK209_SX0 )
| ( SY322 = SY323 )
| ( in @ SY322 @ SY323 ) ) ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2180]) ).
thf(2367,plain,
( ( ( ( sK210_SX0 != emptyset ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2182]) ).
thf(2368,plain,
( ( ( ! [SY324: $i] :
~ ~ ( ~ ( in @ SY324 @ sK210_SX0 )
| ~ ! [SY325: $i] :
( ~ ( in @ SY325 @ sK210_SX0 )
| ( SY324 = SY325 )
| ( in @ SY324 @ SY325 ) ) ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2183]) ).
thf(2369,plain,
( ( ( ( sK211_SX0 != emptyset ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2185]) ).
thf(2370,plain,
( ( ( ! [SY326: $i] :
~ ~ ( ~ ( in @ SY326 @ sK211_SX0 )
| ~ ! [SY327: $i] :
( ~ ( in @ SY327 @ sK211_SX0 )
| ( SY326 = SY327 )
| ( in @ SY326 @ SY327 ) ) ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2186]) ).
thf(2371,plain,
( ( ( sK194_SX0 = emptyset )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2187]) ).
thf(2372,plain,
! [SV104: $i] :
( ( ( ~ ~ ( ~ ( in @ SV104 @ sK194_SX0 )
| ~ ! [SY358: $i] :
( ~ ( in @ SY358 @ sK194_SX0 )
| ( SV104 = SY358 )
| ( in @ SV104 @ SY358 ) ) ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2188]) ).
thf(2373,plain,
( ( ( sK195_SX0 = emptyset )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2189]) ).
thf(2374,plain,
! [SV105: $i] :
( ( ( ~ ~ ( ~ ( in @ SV105 @ sK195_SX0 )
| ~ ! [SY359: $i] :
( ~ ( in @ SY359 @ sK195_SX0 )
| ( SV105 = SY359 )
| ( in @ SV105 @ SY359 ) ) ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2190]) ).
thf(2375,plain,
! [SV92: $i] :
( ( ( ~ ( in @ SV92 @ sK178_SX0 )
| ~ ! [SY346: $i] :
( ~ ( in @ SY346 @ sK178_SX0 )
| ( SV92 = SY346 )
| ( in @ SV92 @ SY346 ) ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2191]) ).
thf(2376,plain,
! [SV93: $i] :
( ( ( ~ ( in @ SV93 @ sK179_SX0 )
| ~ ! [SY347: $i] :
( ~ ( in @ SY347 @ sK179_SX0 )
| ( SV93 = SY347 )
| ( in @ SV93 @ SY347 ) ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2192]) ).
thf(2377,plain,
( ( ( sK196_SX0 = emptyset )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2193]) ).
thf(2378,plain,
! [SV106: $i] :
( ( ( ~ ~ ( ~ ( in @ SV106 @ sK196_SX0 )
| ~ ! [SY360: $i] :
( ~ ( in @ SY360 @ sK196_SX0 )
| ( SV106 = SY360 )
| ( in @ SV106 @ SY360 ) ) ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2194]) ).
thf(2379,plain,
( ( ( sK197_SX0 = emptyset )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2195]) ).
thf(2380,plain,
! [SV107: $i] :
( ( ( ~ ~ ( ~ ( in @ SV107 @ sK197_SX0 )
| ~ ! [SY361: $i] :
( ~ ( in @ SY361 @ sK197_SX0 )
| ( SV107 = SY361 )
| ( in @ SV107 @ SY361 ) ) ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2196]) ).
thf(2381,plain,
( ( ( ( sK212_SX0 != emptyset ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2198]) ).
thf(2382,plain,
( ( ( ! [SY328: $i] :
~ ~ ( ~ ( in @ SY328 @ sK212_SX0 )
| ~ ! [SY329: $i] :
( ~ ( in @ SY329 @ sK212_SX0 )
| ( SY328 = SY329 )
| ( in @ SY328 @ SY329 ) ) ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2199]) ).
thf(2383,plain,
( ( ( ( sK213_SX0 != emptyset ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2201]) ).
thf(2384,plain,
( ( ( ! [SY330: $i] :
~ ~ ( ~ ( in @ SY330 @ sK213_SX0 )
| ~ ! [SY331: $i] :
( ~ ( in @ SY331 @ sK213_SX0 )
| ( SY330 = SY331 )
| ( in @ SY330 @ SY331 ) ) ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2202]) ).
thf(2385,plain,
( ( ( ( sK214_SX0 != emptyset ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2204]) ).
thf(2386,plain,
( ( ( ! [SY332: $i] :
~ ~ ( ~ ( in @ SY332 @ sK214_SX0 )
| ~ ! [SY333: $i] :
( ~ ( in @ SY333 @ sK214_SX0 )
| ( SY332 = SY333 )
| ( in @ SY332 @ SY333 ) ) ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2205]) ).
thf(2387,plain,
( ( ( ( sK215_SX0 != emptyset ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2207]) ).
thf(2388,plain,
( ( ( ! [SY334: $i] :
~ ~ ( ~ ( in @ SY334 @ sK215_SX0 )
| ~ ! [SY335: $i] :
( ~ ( in @ SY335 @ sK215_SX0 )
| ( SY334 = SY335 )
| ( in @ SY334 @ SY335 ) ) ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2208]) ).
thf(2389,plain,
( ( ( sK198_SX0 = emptyset )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2209]) ).
thf(2390,plain,
! [SV108: $i] :
( ( ( ~ ~ ( ~ ( in @ SV108 @ sK198_SX0 )
| ~ ! [SY362: $i] :
( ~ ( in @ SY362 @ sK198_SX0 )
| ( SV108 = SY362 )
| ( in @ SV108 @ SY362 ) ) ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2210]) ).
thf(2391,plain,
( ( ( sK199_SX0 = emptyset )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2211]) ).
thf(2392,plain,
! [SV109: $i] :
( ( ( ~ ~ ( ~ ( in @ SV109 @ sK199_SX0 )
| ~ ! [SY363: $i] :
( ~ ( in @ SY363 @ sK199_SX0 )
| ( SV109 = SY363 )
| ( in @ SV109 @ SY363 ) ) ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2212]) ).
thf(2393,plain,
! [SV44: $i] :
( ( ( ~ ( in @ ( sK250_SY234 @ SV44 ) @ sK114_SX0 )
| ( SV44
= ( sK250_SY234 @ SV44 ) )
| ( in @ SV44 @ ( sK250_SY234 @ SV44 ) ) )
= $false )
| ( ( in @ SV44 @ sK114_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2213]) ).
thf(2394,plain,
! [SV45: $i] :
( ( ( ~ ( in @ ( sK251_SY235 @ SV45 ) @ sK115_SX0 )
| ( SV45
= ( sK251_SY235 @ SV45 ) )
| ( in @ SV45 @ ( sK251_SY235 @ SV45 ) ) )
= $false )
| ( ( in @ SV45 @ sK115_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2214]) ).
thf(2395,plain,
! [SV66: $i] :
( ( ( in @ SV66 @ sK144_SX0 )
= $false )
| ( ( ~ ! [SY288: $i] :
( ~ ( in @ SY288 @ sK144_SX0 )
| ( SV66 = SY288 )
| ( in @ SV66 @ SY288 ) ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2215]) ).
thf(2396,plain,
! [SV67: $i] :
( ( ( in @ SV67 @ sK145_SX0 )
= $false )
| ( ( ~ ! [SY289: $i] :
( ~ ( in @ SY289 @ sK145_SX0 )
| ( SV67 = SY289 )
| ( in @ SV67 @ SY289 ) ) )
= $true )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2216]) ).
thf(2397,plain,
! [SV82: $i] :
( ( ( ~ ( in @ SV82 @ sK168_SX0 ) )
= $true )
| ( ( ~ ! [SY336: $i] :
( ~ ( in @ SY336 @ sK168_SX0 )
| ( SV82 = SY336 )
| ( in @ SV82 @ SY336 ) ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2217]) ).
thf(2398,plain,
! [SV83: $i] :
( ( ( ~ ( in @ SV83 @ sK169_SX0 ) )
= $true )
| ( ( ~ ! [SY337: $i] :
( ~ ( in @ SY337 @ sK169_SX0 )
| ( SV83 = SY337 )
| ( in @ SV83 @ SY337 ) ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2218]) ).
thf(2399,plain,
! [SV84: $i] :
( ( ( ~ ( in @ SV84 @ sK170_SX0 ) )
= $true )
| ( ( ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ sK170_SX0 )
| ( SV84 = SY338 )
| ( in @ SV84 @ SY338 ) ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2219]) ).
thf(2400,plain,
! [SV85: $i] :
( ( ( ~ ( in @ SV85 @ sK171_SX0 ) )
= $true )
| ( ( ~ ! [SY339: $i] :
( ~ ( in @ SY339 @ sK171_SX0 )
| ( SV85 = SY339 )
| ( in @ SV85 @ SY339 ) ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2220]) ).
thf(2401,plain,
! [SV68: $i] :
( ( ( in @ SV68 @ sK146_SX0 )
= $false )
| ( ( ~ ! [SY290: $i] :
( ~ ( in @ SY290 @ sK146_SX0 )
| ( SV68 = SY290 )
| ( in @ SV68 @ SY290 ) ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2221]) ).
thf(2402,plain,
! [SV69: $i] :
( ( ( in @ SV69 @ sK147_SX0 )
= $false )
| ( ( ~ ! [SY291: $i] :
( ~ ( in @ SY291 @ sK147_SX0 )
| ( SV69 = SY291 )
| ( in @ SV69 @ SY291 ) ) )
= $true )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2222]) ).
thf(2403,plain,
! [SV22: $i] :
( ( ( in @ ( sK228_SY164 @ SV22 ) @ sK80_SX0 )
= $true )
| ( ( in @ SV22 @ sK80_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2229]) ).
thf(2404,plain,
! [SV22: $i] :
( ( ( SV22
= ( sK228_SY164 @ SV22 ) )
= $false )
| ( ( in @ SV22 @ sK80_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2230]) ).
thf(2405,plain,
! [SV22: $i] :
( ( ( in @ SV22 @ ( sK228_SY164 @ SV22 ) )
= $false )
| ( ( in @ SV22 @ sK80_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2230]) ).
thf(2406,plain,
! [SV23: $i] :
( ( ( in @ ( sK229_SY165 @ SV23 ) @ sK81_SX0 )
= $true )
| ( ( in @ SV23 @ sK81_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2231]) ).
thf(2407,plain,
! [SV23: $i] :
( ( ( SV23
= ( sK229_SY165 @ SV23 ) )
= $false )
| ( ( in @ SV23 @ sK81_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2232]) ).
thf(2408,plain,
! [SV23: $i] :
( ( ( in @ SV23 @ ( sK229_SY165 @ SV23 ) )
= $false )
| ( ( in @ SV23 @ sK81_SX0 )
= $false )
| ( ( sK6_SX0 = sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK32_SX0 @ sK32_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2232]) ).
thf(2409,plain,
! [SV24: $i] :
( ( ( in @ ( sK230_SY166 @ SV24 ) @ sK82_SX0 )
= $true )
| ( ( in @ SV24 @ sK82_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2233]) ).
thf(2410,plain,
! [SV24: $i] :
( ( ( SV24
= ( sK230_SY166 @ SV24 ) )
= $false )
| ( ( in @ SV24 @ sK82_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2234]) ).
thf(2411,plain,
! [SV24: $i] :
( ( ( in @ SV24 @ ( sK230_SY166 @ SV24 ) )
= $false )
| ( ( in @ SV24 @ sK82_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2234]) ).
thf(2412,plain,
! [SV25: $i] :
( ( ( in @ ( sK231_SY167 @ SV25 ) @ sK83_SX0 )
= $true )
| ( ( in @ SV25 @ sK83_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2235]) ).
thf(2413,plain,
! [SV25: $i] :
( ( ( SV25
= ( sK231_SY167 @ SV25 ) )
= $false )
| ( ( in @ SV25 @ sK83_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2236]) ).
thf(2414,plain,
! [SV25: $i] :
( ( ( in @ SV25 @ ( sK231_SY167 @ SV25 ) )
= $false )
| ( ( in @ SV25 @ sK83_SX0 )
= $false )
| ( ( in @ sK6_SX0 @ sK10_SY8 )
= $false )
| ( ( in @ sK2_SX0 @ emptyset )
= $true )
| ( ( in @ sK33_SX0 @ sK33_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2236]) ).
thf(2415,plain,
! [SV30: $i] :
( ( ( ~ ( in @ ( sK236_SY204 @ SV30 ) @ sK96_SX0 ) )
= $false )
| ( ( in @ SV30 @ sK96_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2416,plain,
! [SV30: $i] :
( ( ( ( SV30
= ( sK236_SY204 @ SV30 ) )
| ( in @ SV30 @ ( sK236_SY204 @ SV30 ) ) )
= $false )
| ( ( in @ SV30 @ sK96_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2417,plain,
! [SV31: $i] :
( ( ( ~ ( in @ ( sK237_SY205 @ SV31 ) @ sK97_SX0 ) )
= $false )
| ( ( in @ SV31 @ sK97_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2250]) ).
thf(2418,plain,
! [SV31: $i] :
( ( ( ( SV31
= ( sK237_SY205 @ SV31 ) )
| ( in @ SV31 @ ( sK237_SY205 @ SV31 ) ) )
= $false )
| ( ( in @ SV31 @ sK97_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2250]) ).
thf(2419,plain,
! [SV46: $i] :
( ( ( ~ ( in @ ( sK252_SY236 @ SV46 ) @ sK116_SX0 )
| ( SV46
= ( sK252_SY236 @ SV46 ) )
| ( in @ SV46 @ ( sK252_SY236 @ SV46 ) ) )
= $false )
| ( ( in @ SV46 @ sK116_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2251]) ).
thf(2420,plain,
! [SV47: $i] :
( ( ( ~ ( in @ ( sK253_SY237 @ SV47 ) @ sK117_SX0 )
| ( SV47
= ( sK253_SY237 @ SV47 ) )
| ( in @ SV47 @ ( sK253_SY237 @ SV47 ) ) )
= $false )
| ( ( in @ SV47 @ sK117_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2252]) ).
thf(2421,plain,
! [SV48: $i] :
( ( ( ~ ( in @ ( sK254_SY238 @ SV48 ) @ sK118_SX0 )
| ( SV48
= ( sK254_SY238 @ SV48 ) )
| ( in @ SV48 @ ( sK254_SY238 @ SV48 ) ) )
= $false )
| ( ( in @ SV48 @ sK118_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2253]) ).
thf(2422,plain,
! [SV49: $i] :
( ( ( ~ ( in @ ( sK255_SY239 @ SV49 ) @ sK119_SX0 )
| ( SV49
= ( sK255_SY239 @ SV49 ) )
| ( in @ SV49 @ ( sK255_SY239 @ SV49 ) ) )
= $false )
| ( ( in @ SV49 @ sK119_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2254]) ).
thf(2423,plain,
! [SV32: $i] :
( ( ( ~ ( in @ ( sK238_SY206 @ SV32 ) @ sK98_SX0 ) )
= $false )
| ( ( in @ SV32 @ sK98_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2255]) ).
thf(2424,plain,
! [SV32: $i] :
( ( ( ( SV32
= ( sK238_SY206 @ SV32 ) )
| ( in @ SV32 @ ( sK238_SY206 @ SV32 ) ) )
= $false )
| ( ( in @ SV32 @ sK98_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2255]) ).
thf(2425,plain,
! [SV33: $i] :
( ( ( ~ ( in @ ( sK239_SY207 @ SV33 ) @ sK99_SX0 ) )
= $false )
| ( ( in @ SV33 @ sK99_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2256]) ).
thf(2426,plain,
! [SV33: $i] :
( ( ( ( SV33
= ( sK239_SY207 @ SV33 ) )
| ( in @ SV33 @ ( sK239_SY207 @ SV33 ) ) )
= $false )
| ( ( in @ SV33 @ sK99_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2256]) ).
thf(2427,plain,
! [SV34: $i] :
( ( ( ~ ( in @ ( sK240_SY208 @ SV34 ) @ sK100_SX0 ) )
= $false )
| ( ( in @ SV34 @ sK100_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2257]) ).
thf(2428,plain,
! [SV34: $i] :
( ( ( ( SV34
= ( sK240_SY208 @ SV34 ) )
| ( in @ SV34 @ ( sK240_SY208 @ SV34 ) ) )
= $false )
| ( ( in @ SV34 @ sK100_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2257]) ).
thf(2429,plain,
! [SV35: $i] :
( ( ( ~ ( in @ ( sK241_SY209 @ SV35 ) @ sK101_SX0 ) )
= $false )
| ( ( in @ SV35 @ sK101_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2258]) ).
thf(2430,plain,
! [SV35: $i] :
( ( ( ( SV35
= ( sK241_SY209 @ SV35 ) )
| ( in @ SV35 @ ( sK241_SY209 @ SV35 ) ) )
= $false )
| ( ( in @ SV35 @ sK101_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2258]) ).
thf(2431,plain,
! [SV54: $i] :
( ( ( ! [SY244: $i] :
( ~ ( in @ SY244 @ sK124_SX0 )
| ( SV54 = SY244 )
| ( in @ SV54 @ SY244 ) ) )
= $false )
| ( ( in @ SV54 @ sK124_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2259]) ).
thf(2432,plain,
! [SV55: $i] :
( ( ( ! [SY245: $i] :
( ~ ( in @ SY245 @ sK125_SX0 )
| ( SV55 = SY245 )
| ( in @ SV55 @ SY245 ) ) )
= $false )
| ( ( in @ SV55 @ sK125_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2260]) ).
thf(2433,plain,
! [SV70: $i] :
( ( ( in @ SV70 @ sK148_SX0 )
= $false )
| ( ( ~ ! [SY292: $i] :
( ~ ( in @ SY292 @ sK148_SX0 )
| ( SV70 = SY292 )
| ( in @ SV70 @ SY292 ) ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2261]) ).
thf(2434,plain,
! [SV71: $i] :
( ( ( in @ SV71 @ sK149_SX0 )
= $false )
| ( ( ~ ! [SY293: $i] :
( ~ ( in @ SY293 @ sK149_SX0 )
| ( SV71 = SY293 )
| ( in @ SV71 @ SY293 ) ) )
= $true )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2262]) ).
thf(2435,plain,
! [SV72: $i] :
( ( ( in @ SV72 @ sK150_SX0 )
= $false )
| ( ( ~ ! [SY294: $i] :
( ~ ( in @ SY294 @ sK150_SX0 )
| ( SV72 = SY294 )
| ( in @ SV72 @ SY294 ) ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2263]) ).
thf(2436,plain,
! [SV73: $i] :
( ( ( in @ SV73 @ sK151_SX0 )
= $false )
| ( ( ~ ! [SY295: $i] :
( ~ ( in @ SY295 @ sK151_SX0 )
| ( SV73 = SY295 )
| ( in @ SV73 @ SY295 ) ) )
= $true )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2264]) ).
thf(2437,plain,
! [SV56: $i] :
( ( ( ! [SY246: $i] :
( ~ ( in @ SY246 @ sK126_SX0 )
| ( SV56 = SY246 )
| ( in @ SV56 @ SY246 ) ) )
= $false )
| ( ( in @ SV56 @ sK126_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2265]) ).
thf(2438,plain,
! [SV57: $i] :
( ( ( ! [SY247: $i] :
( ~ ( in @ SY247 @ sK127_SX0 )
| ( SV57 = SY247 )
| ( in @ SV57 @ SY247 ) ) )
= $false )
| ( ( in @ SV57 @ sK127_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2266]) ).
thf(2439,plain,
! [SV86: $i] :
( ( ( ~ ( in @ SV86 @ sK172_SX0 ) )
= $true )
| ( ( ~ ! [SY340: $i] :
( ~ ( in @ SY340 @ sK172_SX0 )
| ( SV86 = SY340 )
| ( in @ SV86 @ SY340 ) ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2267]) ).
thf(2440,plain,
! [SV87: $i] :
( ( ( ~ ( in @ SV87 @ sK173_SX0 ) )
= $true )
| ( ( ~ ! [SY341: $i] :
( ~ ( in @ SY341 @ sK173_SX0 )
| ( SV87 = SY341 )
| ( in @ SV87 @ SY341 ) ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2268]) ).
thf(2441,plain,
! [SV94: $i] :
( ( ( ~ ( ~ ( in @ SV94 @ sK182_SX0 )
| ~ ! [SY348: $i] :
( ~ ( in @ SY348 @ sK182_SX0 )
| ( SV94 = SY348 )
| ( in @ SV94 @ SY348 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2270]) ).
thf(2442,plain,
! [SV95: $i] :
( ( ( ~ ( ~ ( in @ SV95 @ sK183_SX0 )
| ~ ! [SY349: $i] :
( ~ ( in @ SY349 @ sK183_SX0 )
| ( SV95 = SY349 )
| ( in @ SV95 @ SY349 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2272]) ).
thf(2443,plain,
( ( ( sK200_SX0 = emptyset )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2273]) ).
thf(2444,plain,
! [SV110: $i] :
( ( ( ~ ~ ( ~ ( in @ SV110 @ sK200_SX0 )
| ~ ! [SY364: $i] :
( ~ ( in @ SY364 @ sK200_SX0 )
| ( SV110 = SY364 )
| ( in @ SV110 @ SY364 ) ) ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2274]) ).
thf(2445,plain,
( ( ( sK201_SX0 = emptyset )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2275]) ).
thf(2446,plain,
! [SV111: $i] :
( ( ( ~ ~ ( ~ ( in @ SV111 @ sK201_SX0 )
| ~ ! [SY365: $i] :
( ~ ( in @ SY365 @ sK201_SX0 )
| ( SV111 = SY365 )
| ( in @ SV111 @ SY365 ) ) ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2276]) ).
thf(2447,plain,
( ( ( sK202_SX0 = emptyset )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2277]) ).
thf(2448,plain,
! [SV112: $i] :
( ( ( ~ ~ ( ~ ( in @ SV112 @ sK202_SX0 )
| ~ ! [SY366: $i] :
( ~ ( in @ SY366 @ sK202_SX0 )
| ( SV112 = SY366 )
| ( in @ SV112 @ SY366 ) ) ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2278]) ).
thf(2449,plain,
( ( ( sK203_SX0 = emptyset )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2279]) ).
thf(2450,plain,
! [SV113: $i] :
( ( ( ~ ~ ( ~ ( in @ SV113 @ sK203_SX0 )
| ~ ! [SY367: $i] :
( ~ ( in @ SY367 @ sK203_SX0 )
| ( SV113 = SY367 )
| ( in @ SV113 @ SY367 ) ) ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2280]) ).
thf(2451,plain,
! [SV96: $i] :
( ( ( ~ ( ~ ( in @ SV96 @ sK184_SX0 )
| ~ ! [SY350: $i] :
( ~ ( in @ SY350 @ sK184_SX0 )
| ( SV96 = SY350 )
| ( in @ SV96 @ SY350 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2282]) ).
thf(2452,plain,
! [SV97: $i] :
( ( ( ~ ( ~ ( in @ SV97 @ sK185_SX0 )
| ~ ! [SY351: $i] :
( ~ ( in @ SY351 @ sK185_SX0 )
| ( SV97 = SY351 )
| ( in @ SV97 @ SY351 ) ) ) )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2453,plain,
! [SV88: $i] :
( ( ( ~ ( in @ SV88 @ sK174_SX0 ) )
= $true )
| ( ( ~ ! [SY342: $i] :
( ~ ( in @ SY342 @ sK174_SX0 )
| ( SV88 = SY342 )
| ( in @ SV88 @ SY342 ) ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2285]) ).
thf(2454,plain,
! [SV89: $i] :
( ( ( ~ ( in @ SV89 @ sK175_SX0 ) )
= $true )
| ( ( ~ ! [SY343: $i] :
( ~ ( in @ SY343 @ sK175_SX0 )
| ( SV89 = SY343 )
| ( in @ SV89 @ SY343 ) ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2286]) ).
thf(2455,plain,
! [SV98: $i] :
( ( ( ~ ( ~ ( in @ SV98 @ sK186_SX0 )
| ~ ! [SY352: $i] :
( ~ ( in @ SY352 @ sK186_SX0 )
| ( SV98 = SY352 )
| ( in @ SV98 @ SY352 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2456,plain,
! [SV99: $i] :
( ( ( ~ ( ~ ( in @ SV99 @ sK187_SX0 )
| ~ ! [SY353: $i] :
( ~ ( in @ SY353 @ sK187_SX0 )
| ( SV99 = SY353 )
| ( in @ SV99 @ SY353 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2290]) ).
thf(2457,plain,
( ( ( sK204_SX0 = emptyset )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2291]) ).
thf(2458,plain,
! [SV114: $i] :
( ( ( ~ ~ ( ~ ( in @ SV114 @ sK204_SX0 )
| ~ ! [SY368: $i] :
( ~ ( in @ SY368 @ sK204_SX0 )
| ( SV114 = SY368 )
| ( in @ SV114 @ SY368 ) ) ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2292]) ).
thf(2459,plain,
( ( ( sK205_SX0 = emptyset )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2293]) ).
thf(2460,plain,
! [SV115: $i] :
( ( ( ~ ~ ( ~ ( in @ SV115 @ sK205_SX0 )
| ~ ! [SY369: $i] :
( ~ ( in @ SY369 @ sK205_SX0 )
| ( SV115 = SY369 )
| ( in @ SV115 @ SY369 ) ) ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2294]) ).
thf(2461,plain,
( ( ( sK206_SX0 = emptyset )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2462,plain,
! [SV116: $i] :
( ( ( ~ ~ ( ~ ( in @ SV116 @ sK206_SX0 )
| ~ ! [SY370: $i] :
( ~ ( in @ SY370 @ sK206_SX0 )
| ( SV116 = SY370 )
| ( in @ SV116 @ SY370 ) ) ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2296]) ).
thf(2463,plain,
( ( ( sK207_SX0 = emptyset )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2297]) ).
thf(2464,plain,
! [SV117: $i] :
( ( ( ~ ~ ( ~ ( in @ SV117 @ sK207_SX0 )
| ~ ! [SY371: $i] :
( ~ ( in @ SY371 @ sK207_SX0 )
| ( SV117 = SY371 )
| ( in @ SV117 @ SY371 ) ) ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2298]) ).
thf(2465,plain,
! [SV100: $i] :
( ( ( ~ ( ~ ( in @ SV100 @ sK188_SX0 )
| ~ ! [SY354: $i] :
( ~ ( in @ SY354 @ sK188_SX0 )
| ( SV100 = SY354 )
| ( in @ SV100 @ SY354 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2300]) ).
thf(2466,plain,
! [SV101: $i] :
( ( ( ~ ( ~ ( in @ SV101 @ sK189_SX0 )
| ~ ! [SY355: $i] :
( ~ ( in @ SY355 @ sK189_SX0 )
| ( SV101 = SY355 )
| ( in @ SV101 @ SY355 ) ) ) )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2467,plain,
! [SV36: $i] :
( ( ( ~ ( in @ ( sK242_SY218 @ SV36 ) @ sK104_SX0 ) )
= $false )
| ( ( in @ SV36 @ sK104_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2303]) ).
thf(2468,plain,
! [SV36: $i] :
( ( ( ( SV36
= ( sK242_SY218 @ SV36 ) )
| ( in @ SV36 @ ( sK242_SY218 @ SV36 ) ) )
= $false )
| ( ( in @ SV36 @ sK104_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2303]) ).
thf(2469,plain,
! [SV37: $i] :
( ( ( ~ ( in @ ( sK243_SY219 @ SV37 ) @ sK105_SX0 ) )
= $false )
| ( ( in @ SV37 @ sK105_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2304]) ).
thf(2470,plain,
! [SV37: $i] :
( ( ( ( SV37
= ( sK243_SY219 @ SV37 ) )
| ( in @ SV37 @ ( sK243_SY219 @ SV37 ) ) )
= $false )
| ( ( in @ SV37 @ sK105_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2304]) ).
thf(2471,plain,
! [SV58: $i] :
( ( ( ! [SY264: $i] :
( ~ ( in @ SY264 @ sK132_SX0 )
| ( SV58 = SY264 )
| ( in @ SV58 @ SY264 ) ) )
= $false )
| ( ( in @ SV58 @ sK132_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2305]) ).
thf(2472,plain,
! [SV59: $i] :
( ( ( ! [SY265: $i] :
( ~ ( in @ SY265 @ sK133_SX0 )
| ( SV59 = SY265 )
| ( in @ SV59 @ SY265 ) ) )
= $false )
| ( ( in @ SV59 @ sK133_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2306]) ).
thf(2473,plain,
! [SV74: $i] :
( ( ( in @ SV74 @ sK156_SX0 )
= $false )
| ( ( ~ ! [SY312: $i] :
( ~ ( in @ SY312 @ sK156_SX0 )
| ( SV74 = SY312 )
| ( in @ SV74 @ SY312 ) ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2307]) ).
thf(2474,plain,
! [SV75: $i] :
( ( ( in @ SV75 @ sK157_SX0 )
= $false )
| ( ( ~ ! [SY313: $i] :
( ~ ( in @ SY313 @ sK157_SX0 )
| ( SV75 = SY313 )
| ( in @ SV75 @ SY313 ) ) )
= $true )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2308]) ).
thf(2475,plain,
! [SV76: $i] :
( ( ( in @ SV76 @ sK158_SX0 )
= $false )
| ( ( ~ ! [SY314: $i] :
( ~ ( in @ SY314 @ sK158_SX0 )
| ( SV76 = SY314 )
| ( in @ SV76 @ SY314 ) ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2309]) ).
thf(2476,plain,
! [SV77: $i] :
( ( ( in @ SV77 @ sK159_SX0 )
= $false )
| ( ( ~ ! [SY315: $i] :
( ~ ( in @ SY315 @ sK159_SX0 )
| ( SV77 = SY315 )
| ( in @ SV77 @ SY315 ) ) )
= $true )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2310]) ).
thf(2477,plain,
! [SV60: $i] :
( ( ( ! [SY266: $i] :
( ~ ( in @ SY266 @ sK134_SX0 )
| ( SV60 = SY266 )
| ( in @ SV60 @ SY266 ) ) )
= $false )
| ( ( in @ SV60 @ sK134_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2311]) ).
thf(2478,plain,
! [SV61: $i] :
( ( ( ! [SY267: $i] :
( ~ ( in @ SY267 @ sK135_SX0 )
| ( SV61 = SY267 )
| ( in @ SV61 @ SY267 ) ) )
= $false )
| ( ( in @ SV61 @ sK135_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2312]) ).
thf(2479,plain,
! [SV26: $i] :
( ( ( in @ ( sK232_SY184 @ SV26 ) @ sK88_SX0 )
= $true )
| ( ( in @ SV26 @ sK88_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2319]) ).
thf(2480,plain,
! [SV26: $i] :
( ( ( SV26
= ( sK232_SY184 @ SV26 ) )
= $false )
| ( ( in @ SV26 @ sK88_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2320]) ).
thf(2481,plain,
! [SV26: $i] :
( ( ( in @ SV26 @ ( sK232_SY184 @ SV26 ) )
= $false )
| ( ( in @ SV26 @ sK88_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2320]) ).
thf(2482,plain,
! [SV27: $i] :
( ( ( in @ ( sK233_SY185 @ SV27 ) @ sK89_SX0 )
= $true )
| ( ( in @ SV27 @ sK89_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2321]) ).
thf(2483,plain,
! [SV27: $i] :
( ( ( SV27
= ( sK233_SY185 @ SV27 ) )
= $false )
| ( ( in @ SV27 @ sK89_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2322]) ).
thf(2484,plain,
! [SV27: $i] :
( ( ( in @ SV27 @ ( sK233_SY185 @ SV27 ) )
= $false )
| ( ( in @ SV27 @ sK89_SX0 )
= $false )
| ( ( sK8_SX0 = sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK34_SX0 @ sK34_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2322]) ).
thf(2485,plain,
! [SV28: $i] :
( ( ( in @ ( sK234_SY186 @ SV28 ) @ sK90_SX0 )
= $true )
| ( ( in @ SV28 @ sK90_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2323]) ).
thf(2486,plain,
! [SV28: $i] :
( ( ( SV28
= ( sK234_SY186 @ SV28 ) )
= $false )
| ( ( in @ SV28 @ sK90_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2324]) ).
thf(2487,plain,
! [SV28: $i] :
( ( ( in @ SV28 @ ( sK234_SY186 @ SV28 ) )
= $false )
| ( ( in @ SV28 @ sK90_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2324]) ).
thf(2488,plain,
! [SV29: $i] :
( ( ( in @ ( sK235_SY187 @ SV29 ) @ sK91_SX0 )
= $true )
| ( ( in @ SV29 @ sK91_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2325]) ).
thf(2489,plain,
! [SV29: $i] :
( ( ( SV29
= ( sK235_SY187 @ SV29 ) )
= $false )
| ( ( in @ SV29 @ sK91_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2326]) ).
thf(2490,plain,
! [SV29: $i] :
( ( ( in @ SV29 @ ( sK235_SY187 @ SV29 ) )
= $false )
| ( ( in @ SV29 @ sK91_SX0 )
= $false )
| ( ( in @ sK8_SX0 @ sK12_SY9 )
= $false )
| ( ( in @ sK3_SX0 @ emptyset )
= $true )
| ( ( in @ sK35_SX0 @ sK35_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2326]) ).
thf(2491,plain,
! [SV38: $i] :
( ( ( ~ ( in @ ( sK244_SY220 @ SV38 ) @ sK106_SX0 ) )
= $false )
| ( ( in @ SV38 @ sK106_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2339]) ).
thf(2492,plain,
! [SV38: $i] :
( ( ( ( SV38
= ( sK244_SY220 @ SV38 ) )
| ( in @ SV38 @ ( sK244_SY220 @ SV38 ) ) )
= $false )
| ( ( in @ SV38 @ sK106_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2339]) ).
thf(2493,plain,
! [SV39: $i] :
( ( ( ~ ( in @ ( sK245_SY221 @ SV39 ) @ sK107_SX0 ) )
= $false )
| ( ( in @ SV39 @ sK107_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2340]) ).
thf(2494,plain,
! [SV39: $i] :
( ( ( ( SV39
= ( sK245_SY221 @ SV39 ) )
| ( in @ SV39 @ ( sK245_SY221 @ SV39 ) ) )
= $false )
| ( ( in @ SV39 @ sK107_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2340]) ).
thf(2495,plain,
! [SV50: $i] :
( ( ( ~ ( in @ ( sK256_SY240 @ SV50 ) @ sK120_SX0 )
| ( SV50
= ( sK256_SY240 @ SV50 ) )
| ( in @ SV50 @ ( sK256_SY240 @ SV50 ) ) )
= $false )
| ( ( in @ SV50 @ sK120_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2341]) ).
thf(2496,plain,
! [SV51: $i] :
( ( ( ~ ( in @ ( sK257_SY241 @ SV51 ) @ sK121_SX0 )
| ( SV51
= ( sK257_SY241 @ SV51 ) )
| ( in @ SV51 @ ( sK257_SY241 @ SV51 ) ) )
= $false )
| ( ( in @ SV51 @ sK121_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2342]) ).
thf(2497,plain,
! [SV52: $i] :
( ( ( ~ ( in @ ( sK258_SY242 @ SV52 ) @ sK122_SX0 )
| ( SV52
= ( sK258_SY242 @ SV52 ) )
| ( in @ SV52 @ ( sK258_SY242 @ SV52 ) ) )
= $false )
| ( ( in @ SV52 @ sK122_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2343]) ).
thf(2498,plain,
! [SV53: $i] :
( ( ( ~ ( in @ ( sK259_SY243 @ SV53 ) @ sK123_SX0 )
| ( SV53
= ( sK259_SY243 @ SV53 ) )
| ( in @ SV53 @ ( sK259_SY243 @ SV53 ) ) )
= $false )
| ( ( in @ SV53 @ sK123_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2344]) ).
thf(2499,plain,
! [SV40: $i] :
( ( ( ~ ( in @ ( sK246_SY222 @ SV40 ) @ sK108_SX0 ) )
= $false )
| ( ( in @ SV40 @ sK108_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2345]) ).
thf(2500,plain,
! [SV40: $i] :
( ( ( ( SV40
= ( sK246_SY222 @ SV40 ) )
| ( in @ SV40 @ ( sK246_SY222 @ SV40 ) ) )
= $false )
| ( ( in @ SV40 @ sK108_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2345]) ).
thf(2501,plain,
! [SV41: $i] :
( ( ( ~ ( in @ ( sK247_SY223 @ SV41 ) @ sK109_SX0 ) )
= $false )
| ( ( in @ SV41 @ sK109_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2346]) ).
thf(2502,plain,
! [SV41: $i] :
( ( ( ( SV41
= ( sK247_SY223 @ SV41 ) )
| ( in @ SV41 @ ( sK247_SY223 @ SV41 ) ) )
= $false )
| ( ( in @ SV41 @ sK109_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2346]) ).
thf(2503,plain,
! [SV42: $i] :
( ( ( ~ ( in @ ( sK248_SY224 @ SV42 ) @ sK110_SX0 ) )
= $false )
| ( ( in @ SV42 @ sK110_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2347]) ).
thf(2504,plain,
! [SV42: $i] :
( ( ( ( SV42
= ( sK248_SY224 @ SV42 ) )
| ( in @ SV42 @ ( sK248_SY224 @ SV42 ) ) )
= $false )
| ( ( in @ SV42 @ sK110_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2347]) ).
thf(2505,plain,
! [SV43: $i] :
( ( ( ~ ( in @ ( sK249_SY225 @ SV43 ) @ sK111_SX0 ) )
= $false )
| ( ( in @ SV43 @ sK111_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2348]) ).
thf(2506,plain,
! [SV43: $i] :
( ( ( ( SV43
= ( sK249_SY225 @ SV43 ) )
| ( in @ SV43 @ ( sK249_SY225 @ SV43 ) ) )
= $false )
| ( ( in @ SV43 @ sK111_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2348]) ).
thf(2507,plain,
! [SV62: $i] :
( ( ( ! [SY268: $i] :
( ~ ( in @ SY268 @ sK136_SX0 )
| ( SV62 = SY268 )
| ( in @ SV62 @ SY268 ) ) )
= $false )
| ( ( in @ SV62 @ sK136_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2349]) ).
thf(2508,plain,
! [SV63: $i] :
( ( ( ! [SY269: $i] :
( ~ ( in @ SY269 @ sK137_SX0 )
| ( SV63 = SY269 )
| ( in @ SV63 @ SY269 ) ) )
= $false )
| ( ( in @ SV63 @ sK137_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2350]) ).
thf(2509,plain,
! [SV78: $i] :
( ( ( in @ SV78 @ sK160_SX0 )
= $false )
| ( ( ~ ! [SY316: $i] :
( ~ ( in @ SY316 @ sK160_SX0 )
| ( SV78 = SY316 )
| ( in @ SV78 @ SY316 ) ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2351]) ).
thf(2510,plain,
! [SV79: $i] :
( ( ( in @ SV79 @ sK161_SX0 )
= $false )
| ( ( ~ ! [SY317: $i] :
( ~ ( in @ SY317 @ sK161_SX0 )
| ( SV79 = SY317 )
| ( in @ SV79 @ SY317 ) ) )
= $true )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2352]) ).
thf(2511,plain,
! [SV80: $i] :
( ( ( in @ SV80 @ sK162_SX0 )
= $false )
| ( ( ~ ! [SY318: $i] :
( ~ ( in @ SY318 @ sK162_SX0 )
| ( SV80 = SY318 )
| ( in @ SV80 @ SY318 ) ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2353]) ).
thf(2512,plain,
! [SV81: $i] :
( ( ( in @ SV81 @ sK163_SX0 )
= $false )
| ( ( ~ ! [SY319: $i] :
( ~ ( in @ SY319 @ sK163_SX0 )
| ( SV81 = SY319 )
| ( in @ SV81 @ SY319 ) ) )
= $true )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2354]) ).
thf(2513,plain,
! [SV64: $i] :
( ( ( ! [SY270: $i] :
( ~ ( in @ SY270 @ sK138_SX0 )
| ( SV64 = SY270 )
| ( in @ SV64 @ SY270 ) ) )
= $false )
| ( ( in @ SV64 @ sK138_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2355]) ).
thf(2514,plain,
! [SV65: $i] :
( ( ( ! [SY271: $i] :
( ~ ( in @ SY271 @ sK139_SX0 )
| ( SV65 = SY271 )
| ( in @ SV65 @ SY271 ) ) )
= $false )
| ( ( in @ SV65 @ sK139_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2356]) ).
thf(2515,plain,
! [SV90: $i] :
( ( ( ~ ( in @ SV90 @ sK176_SX0 ) )
= $true )
| ( ( ~ ! [SY344: $i] :
( ~ ( in @ SY344 @ sK176_SX0 )
| ( SV90 = SY344 )
| ( in @ SV90 @ SY344 ) ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2357]) ).
thf(2516,plain,
! [SV91: $i] :
( ( ( ~ ( in @ SV91 @ sK177_SX0 ) )
= $true )
| ( ( ~ ! [SY345: $i] :
( ~ ( in @ SY345 @ sK177_SX0 )
| ( SV91 = SY345 )
| ( in @ SV91 @ SY345 ) ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2358]) ).
thf(2517,plain,
! [SV102: $i] :
( ( ( ~ ( ~ ( in @ SV102 @ sK192_SX0 )
| ~ ! [SY356: $i] :
( ~ ( in @ SY356 @ sK192_SX0 )
| ( SV102 = SY356 )
| ( in @ SV102 @ SY356 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2360]) ).
thf(2518,plain,
! [SV103: $i] :
( ( ( ~ ( ~ ( in @ SV103 @ sK193_SX0 )
| ~ ! [SY357: $i] :
( ~ ( in @ SY357 @ sK193_SX0 )
| ( SV103 = SY357 )
| ( in @ SV103 @ SY357 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2362]) ).
thf(2519,plain,
( ( ( sK208_SX0 = emptyset )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2363]) ).
thf(2520,plain,
! [SV118: $i] :
( ( ( ~ ~ ( ~ ( in @ SV118 @ sK208_SX0 )
| ~ ! [SY372: $i] :
( ~ ( in @ SY372 @ sK208_SX0 )
| ( SV118 = SY372 )
| ( in @ SV118 @ SY372 ) ) ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2364]) ).
thf(2521,plain,
( ( ( sK209_SX0 = emptyset )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2365]) ).
thf(2522,plain,
! [SV119: $i] :
( ( ( ~ ~ ( ~ ( in @ SV119 @ sK209_SX0 )
| ~ ! [SY373: $i] :
( ~ ( in @ SY373 @ sK209_SX0 )
| ( SV119 = SY373 )
| ( in @ SV119 @ SY373 ) ) ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2366]) ).
thf(2523,plain,
( ( ( sK210_SX0 = emptyset )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2367]) ).
thf(2524,plain,
! [SV120: $i] :
( ( ( ~ ~ ( ~ ( in @ SV120 @ sK210_SX0 )
| ~ ! [SY374: $i] :
( ~ ( in @ SY374 @ sK210_SX0 )
| ( SV120 = SY374 )
| ( in @ SV120 @ SY374 ) ) ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2368]) ).
thf(2525,plain,
( ( ( sK211_SX0 = emptyset )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2369]) ).
thf(2526,plain,
! [SV121: $i] :
( ( ( ~ ~ ( ~ ( in @ SV121 @ sK211_SX0 )
| ~ ! [SY375: $i] :
( ~ ( in @ SY375 @ sK211_SX0 )
| ( SV121 = SY375 )
| ( in @ SV121 @ SY375 ) ) ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2370]) ).
thf(2527,plain,
! [SV104: $i] :
( ( ( ~ ( ~ ( in @ SV104 @ sK194_SX0 )
| ~ ! [SY358: $i] :
( ~ ( in @ SY358 @ sK194_SX0 )
| ( SV104 = SY358 )
| ( in @ SV104 @ SY358 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2372]) ).
thf(2528,plain,
! [SV105: $i] :
( ( ( ~ ( ~ ( in @ SV105 @ sK195_SX0 )
| ~ ! [SY359: $i] :
( ~ ( in @ SY359 @ sK195_SX0 )
| ( SV105 = SY359 )
| ( in @ SV105 @ SY359 ) ) ) )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2374]) ).
thf(2529,plain,
! [SV92: $i] :
( ( ( ~ ( in @ SV92 @ sK178_SX0 ) )
= $true )
| ( ( ~ ! [SY346: $i] :
( ~ ( in @ SY346 @ sK178_SX0 )
| ( SV92 = SY346 )
| ( in @ SV92 @ SY346 ) ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2375]) ).
thf(2530,plain,
! [SV93: $i] :
( ( ( ~ ( in @ SV93 @ sK179_SX0 ) )
= $true )
| ( ( ~ ! [SY347: $i] :
( ~ ( in @ SY347 @ sK179_SX0 )
| ( SV93 = SY347 )
| ( in @ SV93 @ SY347 ) ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2376]) ).
thf(2531,plain,
! [SV106: $i] :
( ( ( ~ ( ~ ( in @ SV106 @ sK196_SX0 )
| ~ ! [SY360: $i] :
( ~ ( in @ SY360 @ sK196_SX0 )
| ( SV106 = SY360 )
| ( in @ SV106 @ SY360 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2378]) ).
thf(2532,plain,
! [SV107: $i] :
( ( ( ~ ( ~ ( in @ SV107 @ sK197_SX0 )
| ~ ! [SY361: $i] :
( ~ ( in @ SY361 @ sK197_SX0 )
| ( SV107 = SY361 )
| ( in @ SV107 @ SY361 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2380]) ).
thf(2533,plain,
( ( ( sK212_SX0 = emptyset )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2381]) ).
thf(2534,plain,
! [SV122: $i] :
( ( ( ~ ~ ( ~ ( in @ SV122 @ sK212_SX0 )
| ~ ! [SY376: $i] :
( ~ ( in @ SY376 @ sK212_SX0 )
| ( SV122 = SY376 )
| ( in @ SV122 @ SY376 ) ) ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2382]) ).
thf(2535,plain,
( ( ( sK213_SX0 = emptyset )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2383]) ).
thf(2536,plain,
! [SV123: $i] :
( ( ( ~ ~ ( ~ ( in @ SV123 @ sK213_SX0 )
| ~ ! [SY377: $i] :
( ~ ( in @ SY377 @ sK213_SX0 )
| ( SV123 = SY377 )
| ( in @ SV123 @ SY377 ) ) ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2384]) ).
thf(2537,plain,
( ( ( sK214_SX0 = emptyset )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2385]) ).
thf(2538,plain,
! [SV124: $i] :
( ( ( ~ ~ ( ~ ( in @ SV124 @ sK214_SX0 )
| ~ ! [SY378: $i] :
( ~ ( in @ SY378 @ sK214_SX0 )
| ( SV124 = SY378 )
| ( in @ SV124 @ SY378 ) ) ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2386]) ).
thf(2539,plain,
( ( ( sK215_SX0 = emptyset )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2387]) ).
thf(2540,plain,
! [SV125: $i] :
( ( ( ~ ~ ( ~ ( in @ SV125 @ sK215_SX0 )
| ~ ! [SY379: $i] :
( ~ ( in @ SY379 @ sK215_SX0 )
| ( SV125 = SY379 )
| ( in @ SV125 @ SY379 ) ) ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2388]) ).
thf(2541,plain,
! [SV108: $i] :
( ( ( ~ ( ~ ( in @ SV108 @ sK198_SX0 )
| ~ ! [SY362: $i] :
( ~ ( in @ SY362 @ sK198_SX0 )
| ( SV108 = SY362 )
| ( in @ SV108 @ SY362 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2390]) ).
thf(2542,plain,
! [SV109: $i] :
( ( ( ~ ( ~ ( in @ SV109 @ sK199_SX0 )
| ~ ! [SY363: $i] :
( ~ ( in @ SY363 @ sK199_SX0 )
| ( SV109 = SY363 )
| ( in @ SV109 @ SY363 ) ) ) )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2392]) ).
thf(2543,plain,
! [SV44: $i] :
( ( ( ~ ( in @ ( sK250_SY234 @ SV44 ) @ sK114_SX0 ) )
= $false )
| ( ( in @ SV44 @ sK114_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2393]) ).
thf(2544,plain,
! [SV44: $i] :
( ( ( ( SV44
= ( sK250_SY234 @ SV44 ) )
| ( in @ SV44 @ ( sK250_SY234 @ SV44 ) ) )
= $false )
| ( ( in @ SV44 @ sK114_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2393]) ).
thf(2545,plain,
! [SV45: $i] :
( ( ( ~ ( in @ ( sK251_SY235 @ SV45 ) @ sK115_SX0 ) )
= $false )
| ( ( in @ SV45 @ sK115_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2394]) ).
thf(2546,plain,
! [SV45: $i] :
( ( ( ( SV45
= ( sK251_SY235 @ SV45 ) )
| ( in @ SV45 @ ( sK251_SY235 @ SV45 ) ) )
= $false )
| ( ( in @ SV45 @ sK115_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2394]) ).
thf(2547,plain,
! [SV66: $i] :
( ( ( ! [SY288: $i] :
( ~ ( in @ SY288 @ sK144_SX0 )
| ( SV66 = SY288 )
| ( in @ SV66 @ SY288 ) ) )
= $false )
| ( ( in @ SV66 @ sK144_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2395]) ).
thf(2548,plain,
! [SV67: $i] :
( ( ( ! [SY289: $i] :
( ~ ( in @ SY289 @ sK145_SX0 )
| ( SV67 = SY289 )
| ( in @ SV67 @ SY289 ) ) )
= $false )
| ( ( in @ SV67 @ sK145_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2396]) ).
thf(2549,plain,
! [SV82: $i] :
( ( ( in @ SV82 @ sK168_SX0 )
= $false )
| ( ( ~ ! [SY336: $i] :
( ~ ( in @ SY336 @ sK168_SX0 )
| ( SV82 = SY336 )
| ( in @ SV82 @ SY336 ) ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2397]) ).
thf(2550,plain,
! [SV83: $i] :
( ( ( in @ SV83 @ sK169_SX0 )
= $false )
| ( ( ~ ! [SY337: $i] :
( ~ ( in @ SY337 @ sK169_SX0 )
| ( SV83 = SY337 )
| ( in @ SV83 @ SY337 ) ) )
= $true )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2398]) ).
thf(2551,plain,
! [SV84: $i] :
( ( ( in @ SV84 @ sK170_SX0 )
= $false )
| ( ( ~ ! [SY338: $i] :
( ~ ( in @ SY338 @ sK170_SX0 )
| ( SV84 = SY338 )
| ( in @ SV84 @ SY338 ) ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2399]) ).
thf(2552,plain,
! [SV85: $i] :
( ( ( in @ SV85 @ sK171_SX0 )
= $false )
| ( ( ~ ! [SY339: $i] :
( ~ ( in @ SY339 @ sK171_SX0 )
| ( SV85 = SY339 )
| ( in @ SV85 @ SY339 ) ) )
= $true )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2400]) ).
thf(2553,plain,
! [SV68: $i] :
( ( ( ! [SY290: $i] :
( ~ ( in @ SY290 @ sK146_SX0 )
| ( SV68 = SY290 )
| ( in @ SV68 @ SY290 ) ) )
= $false )
| ( ( in @ SV68 @ sK146_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2401]) ).
thf(2554,plain,
! [SV69: $i] :
( ( ( ! [SY291: $i] :
( ~ ( in @ SY291 @ sK147_SX0 )
| ( SV69 = SY291 )
| ( in @ SV69 @ SY291 ) ) )
= $false )
| ( ( in @ SV69 @ sK147_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2402]) ).
thf(2555,plain,
! [SV30: $i] :
( ( ( in @ ( sK236_SY204 @ SV30 ) @ sK96_SX0 )
= $true )
| ( ( in @ SV30 @ sK96_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2415]) ).
thf(2556,plain,
! [SV30: $i] :
( ( ( SV30
= ( sK236_SY204 @ SV30 ) )
= $false )
| ( ( in @ SV30 @ sK96_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2416]) ).
thf(2557,plain,
! [SV30: $i] :
( ( ( in @ SV30 @ ( sK236_SY204 @ SV30 ) )
= $false )
| ( ( in @ SV30 @ sK96_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2416]) ).
thf(2558,plain,
! [SV31: $i] :
( ( ( in @ ( sK237_SY205 @ SV31 ) @ sK97_SX0 )
= $true )
| ( ( in @ SV31 @ sK97_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2417]) ).
thf(2559,plain,
! [SV31: $i] :
( ( ( SV31
= ( sK237_SY205 @ SV31 ) )
= $false )
| ( ( in @ SV31 @ sK97_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2560,plain,
! [SV31: $i] :
( ( ( in @ SV31 @ ( sK237_SY205 @ SV31 ) )
= $false )
| ( ( in @ SV31 @ sK97_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK38_SX0 @ sK38_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2561,plain,
! [SV46: $i] :
( ( ( ~ ( in @ ( sK252_SY236 @ SV46 ) @ sK116_SX0 ) )
= $false )
| ( ( in @ SV46 @ sK116_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2419]) ).
thf(2562,plain,
! [SV46: $i] :
( ( ( ( SV46
= ( sK252_SY236 @ SV46 ) )
| ( in @ SV46 @ ( sK252_SY236 @ SV46 ) ) )
= $false )
| ( ( in @ SV46 @ sK116_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2419]) ).
thf(2563,plain,
! [SV47: $i] :
( ( ( ~ ( in @ ( sK253_SY237 @ SV47 ) @ sK117_SX0 ) )
= $false )
| ( ( in @ SV47 @ sK117_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2564,plain,
! [SV47: $i] :
( ( ( ( SV47
= ( sK253_SY237 @ SV47 ) )
| ( in @ SV47 @ ( sK253_SY237 @ SV47 ) ) )
= $false )
| ( ( in @ SV47 @ sK117_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2565,plain,
! [SV48: $i] :
( ( ( ~ ( in @ ( sK254_SY238 @ SV48 ) @ sK118_SX0 ) )
= $false )
| ( ( in @ SV48 @ sK118_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2421]) ).
thf(2566,plain,
! [SV48: $i] :
( ( ( ( SV48
= ( sK254_SY238 @ SV48 ) )
| ( in @ SV48 @ ( sK254_SY238 @ SV48 ) ) )
= $false )
| ( ( in @ SV48 @ sK118_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2421]) ).
thf(2567,plain,
! [SV49: $i] :
( ( ( ~ ( in @ ( sK255_SY239 @ SV49 ) @ sK119_SX0 ) )
= $false )
| ( ( in @ SV49 @ sK119_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2422]) ).
thf(2568,plain,
! [SV49: $i] :
( ( ( ( SV49
= ( sK255_SY239 @ SV49 ) )
| ( in @ SV49 @ ( sK255_SY239 @ SV49 ) ) )
= $false )
| ( ( in @ SV49 @ sK119_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2422]) ).
thf(2569,plain,
! [SV32: $i] :
( ( ( in @ ( sK238_SY206 @ SV32 ) @ sK98_SX0 )
= $true )
| ( ( in @ SV32 @ sK98_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2423]) ).
thf(2570,plain,
! [SV32: $i] :
( ( ( SV32
= ( sK238_SY206 @ SV32 ) )
= $false )
| ( ( in @ SV32 @ sK98_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2424]) ).
thf(2571,plain,
! [SV32: $i] :
( ( ( in @ SV32 @ ( sK238_SY206 @ SV32 ) )
= $false )
| ( ( in @ SV32 @ sK98_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2424]) ).
thf(2572,plain,
! [SV33: $i] :
( ( ( in @ ( sK239_SY207 @ SV33 ) @ sK99_SX0 )
= $true )
| ( ( in @ SV33 @ sK99_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2425]) ).
thf(2573,plain,
! [SV33: $i] :
( ( ( SV33
= ( sK239_SY207 @ SV33 ) )
= $false )
| ( ( in @ SV33 @ sK99_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2574,plain,
! [SV33: $i] :
( ( ( in @ SV33 @ ( sK239_SY207 @ SV33 ) )
= $false )
| ( ( in @ SV33 @ sK99_SX0 )
= $false )
| ( ( in @ sK15_SY10 @ sK11_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK39_SX0 @ sK39_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2575,plain,
! [SV34: $i] :
( ( ( in @ ( sK240_SY208 @ SV34 ) @ sK100_SX0 )
= $true )
| ( ( in @ SV34 @ sK100_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2427]) ).
thf(2576,plain,
! [SV34: $i] :
( ( ( SV34
= ( sK240_SY208 @ SV34 ) )
= $false )
| ( ( in @ SV34 @ sK100_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2428]) ).
thf(2577,plain,
! [SV34: $i] :
( ( ( in @ SV34 @ ( sK240_SY208 @ SV34 ) )
= $false )
| ( ( in @ SV34 @ sK100_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2428]) ).
thf(2578,plain,
! [SV35: $i] :
( ( ( in @ ( sK241_SY209 @ SV35 ) @ sK101_SX0 )
= $true )
| ( ( in @ SV35 @ sK101_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2429]) ).
thf(2579,plain,
! [SV35: $i] :
( ( ( SV35
= ( sK241_SY209 @ SV35 ) )
= $false )
| ( ( in @ SV35 @ sK101_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2430]) ).
thf(2580,plain,
! [SV35: $i] :
( ( ( in @ SV35 @ ( sK241_SY209 @ SV35 ) )
= $false )
| ( ( in @ SV35 @ sK101_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK40_SX0 @ sK40_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2430]) ).
thf(2581,plain,
! [SV54: $i] :
( ( ( ~ ( in @ ( sK260_SY244 @ SV54 ) @ sK124_SX0 )
| ( SV54
= ( sK260_SY244 @ SV54 ) )
| ( in @ SV54 @ ( sK260_SY244 @ SV54 ) ) )
= $false )
| ( ( in @ SV54 @ sK124_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2431]) ).
thf(2582,plain,
! [SV55: $i] :
( ( ( ~ ( in @ ( sK261_SY245 @ SV55 ) @ sK125_SX0 )
| ( SV55
= ( sK261_SY245 @ SV55 ) )
| ( in @ SV55 @ ( sK261_SY245 @ SV55 ) ) )
= $false )
| ( ( in @ SV55 @ sK125_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2432]) ).
thf(2583,plain,
! [SV70: $i] :
( ( ( ! [SY292: $i] :
( ~ ( in @ SY292 @ sK148_SX0 )
| ( SV70 = SY292 )
| ( in @ SV70 @ SY292 ) ) )
= $false )
| ( ( in @ SV70 @ sK148_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2433]) ).
thf(2584,plain,
! [SV71: $i] :
( ( ( ! [SY293: $i] :
( ~ ( in @ SY293 @ sK149_SX0 )
| ( SV71 = SY293 )
| ( in @ SV71 @ SY293 ) ) )
= $false )
| ( ( in @ SV71 @ sK149_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2434]) ).
thf(2585,plain,
! [SV72: $i] :
( ( ( ! [SY294: $i] :
( ~ ( in @ SY294 @ sK150_SX0 )
| ( SV72 = SY294 )
| ( in @ SV72 @ SY294 ) ) )
= $false )
| ( ( in @ SV72 @ sK150_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2435]) ).
thf(2586,plain,
! [SV73: $i] :
( ( ( ! [SY295: $i] :
( ~ ( in @ SY295 @ sK151_SX0 )
| ( SV73 = SY295 )
| ( in @ SV73 @ SY295 ) ) )
= $false )
| ( ( in @ SV73 @ sK151_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2436]) ).
thf(2587,plain,
! [SV56: $i] :
( ( ( ~ ( in @ ( sK262_SY246 @ SV56 ) @ sK126_SX0 )
| ( SV56
= ( sK262_SY246 @ SV56 ) )
| ( in @ SV56 @ ( sK262_SY246 @ SV56 ) ) )
= $false )
| ( ( in @ SV56 @ sK126_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2437]) ).
thf(2588,plain,
! [SV57: $i] :
( ( ( ~ ( in @ ( sK263_SY247 @ SV57 ) @ sK127_SX0 )
| ( SV57
= ( sK263_SY247 @ SV57 ) )
| ( in @ SV57 @ ( sK263_SY247 @ SV57 ) ) )
= $false )
| ( ( in @ SV57 @ sK127_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2438]) ).
thf(2589,plain,
! [SV86: $i] :
( ( ( in @ SV86 @ sK172_SX0 )
= $false )
| ( ( ~ ! [SY340: $i] :
( ~ ( in @ SY340 @ sK172_SX0 )
| ( SV86 = SY340 )
| ( in @ SV86 @ SY340 ) ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2439]) ).
thf(2590,plain,
! [SV87: $i] :
( ( ( in @ SV87 @ sK173_SX0 )
= $false )
| ( ( ~ ! [SY341: $i] :
( ~ ( in @ SY341 @ sK173_SX0 )
| ( SV87 = SY341 )
| ( in @ SV87 @ SY341 ) ) )
= $true )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2440]) ).
thf(2591,plain,
! [SV94: $i] :
( ( ( ~ ( in @ SV94 @ sK182_SX0 )
| ~ ! [SY348: $i] :
( ~ ( in @ SY348 @ sK182_SX0 )
| ( SV94 = SY348 )
| ( in @ SV94 @ SY348 ) ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2441]) ).
thf(2592,plain,
! [SV95: $i] :
( ( ( ~ ( in @ SV95 @ sK183_SX0 )
| ~ ! [SY349: $i] :
( ~ ( in @ SY349 @ sK183_SX0 )
| ( SV95 = SY349 )
| ( in @ SV95 @ SY349 ) ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2442]) ).
thf(2593,plain,
! [SV110: $i] :
( ( ( ~ ( ~ ( in @ SV110 @ sK200_SX0 )
| ~ ! [SY364: $i] :
( ~ ( in @ SY364 @ sK200_SX0 )
| ( SV110 = SY364 )
| ( in @ SV110 @ SY364 ) ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2444]) ).
thf(2594,plain,
! [SV111: $i] :
( ( ( ~ ( ~ ( in @ SV111 @ sK201_SX0 )
| ~ ! [SY365: $i] :
( ~ ( in @ SY365 @ sK201_SX0 )
| ( SV111 = SY365 )
| ( in @ SV111 @ SY365 ) ) ) )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2446]) ).
thf(2595,plain,
! [SV112: $i] :
( ( ( ~ ( ~ ( in @ SV112 @ sK202_SX0 )
| ~ ! [SY366: $i] :
( ~ ( in @ SY366 @ sK202_SX0 )
| ( SV112 = SY366 )
| ( in @ SV112 @ SY366 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2448]) ).
thf(2596,plain,
! [SV113: $i] :
( ( ( ~ ( ~ ( in @ SV113 @ sK203_SX0 )
| ~ ! [SY367: $i] :
( ~ ( in @ SY367 @ sK203_SX0 )
| ( SV113 = SY367 )
| ( in @ SV113 @ SY367 ) ) ) )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2450]) ).
thf(2597,plain,
! [SV96: $i] :
( ( ( ~ ( in @ SV96 @ sK184_SX0 )
| ~ ! [SY350: $i] :
( ~ ( in @ SY350 @ sK184_SX0 )
| ( SV96 = SY350 )
| ( in @ SV96 @ SY350 ) ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2451]) ).
thf(2598,plain,
! [SV97: $i] :
( ( ( ~ ( in @ SV97 @ sK185_SX0 )
| ~ ! [SY351: $i] :
( ~ ( in @ SY351 @ sK185_SX0 )
| ( SV97 = SY351 )
| ( in @ SV97 @ SY351 ) ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2452]) ).
thf(2599,plain,
! [SV88: $i] :
( ( ( in @ SV88 @ sK174_SX0 )
= $false )
| ( ( ~ ! [SY342: $i] :
( ~ ( in @ SY342 @ sK174_SX0 )
| ( SV88 = SY342 )
| ( in @ SV88 @ SY342 ) ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2453]) ).
thf(2600,plain,
! [SV89: $i] :
( ( ( in @ SV89 @ sK175_SX0 )
= $false )
| ( ( ~ ! [SY343: $i] :
( ~ ( in @ SY343 @ sK175_SX0 )
| ( SV89 = SY343 )
| ( in @ SV89 @ SY343 ) ) )
= $true )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2454]) ).
thf(2601,plain,
! [SV98: $i] :
( ( ( ~ ( in @ SV98 @ sK186_SX0 )
| ~ ! [SY352: $i] :
( ~ ( in @ SY352 @ sK186_SX0 )
| ( SV98 = SY352 )
| ( in @ SV98 @ SY352 ) ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2455]) ).
thf(2602,plain,
! [SV99: $i] :
( ( ( ~ ( in @ SV99 @ sK187_SX0 )
| ~ ! [SY353: $i] :
( ~ ( in @ SY353 @ sK187_SX0 )
| ( SV99 = SY353 )
| ( in @ SV99 @ SY353 ) ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2456]) ).
thf(2603,plain,
! [SV114: $i] :
( ( ( ~ ( ~ ( in @ SV114 @ sK204_SX0 )
| ~ ! [SY368: $i] :
( ~ ( in @ SY368 @ sK204_SX0 )
| ( SV114 = SY368 )
| ( in @ SV114 @ SY368 ) ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2458]) ).
thf(2604,plain,
! [SV115: $i] :
( ( ( ~ ( ~ ( in @ SV115 @ sK205_SX0 )
| ~ ! [SY369: $i] :
( ~ ( in @ SY369 @ sK205_SX0 )
| ( SV115 = SY369 )
| ( in @ SV115 @ SY369 ) ) ) )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2460]) ).
thf(2605,plain,
! [SV116: $i] :
( ( ( ~ ( ~ ( in @ SV116 @ sK206_SX0 )
| ~ ! [SY370: $i] :
( ~ ( in @ SY370 @ sK206_SX0 )
| ( SV116 = SY370 )
| ( in @ SV116 @ SY370 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2606,plain,
! [SV117: $i] :
( ( ( ~ ( ~ ( in @ SV117 @ sK207_SX0 )
| ~ ! [SY371: $i] :
( ~ ( in @ SY371 @ sK207_SX0 )
| ( SV117 = SY371 )
| ( in @ SV117 @ SY371 ) ) ) )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2464]) ).
thf(2607,plain,
! [SV100: $i] :
( ( ( ~ ( in @ SV100 @ sK188_SX0 )
| ~ ! [SY354: $i] :
( ~ ( in @ SY354 @ sK188_SX0 )
| ( SV100 = SY354 )
| ( in @ SV100 @ SY354 ) ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2465]) ).
thf(2608,plain,
! [SV101: $i] :
( ( ( ~ ( in @ SV101 @ sK189_SX0 )
| ~ ! [SY355: $i] :
( ~ ( in @ SY355 @ sK189_SX0 )
| ( SV101 = SY355 )
| ( in @ SV101 @ SY355 ) ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2466]) ).
thf(2609,plain,
! [SV36: $i] :
( ( ( in @ ( sK242_SY218 @ SV36 ) @ sK104_SX0 )
= $true )
| ( ( in @ SV36 @ sK104_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2467]) ).
thf(2610,plain,
! [SV36: $i] :
( ( ( SV36
= ( sK242_SY218 @ SV36 ) )
= $false )
| ( ( in @ SV36 @ sK104_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2468]) ).
thf(2611,plain,
! [SV36: $i] :
( ( ( in @ SV36 @ ( sK242_SY218 @ SV36 ) )
= $false )
| ( ( in @ SV36 @ sK104_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2468]) ).
thf(2612,plain,
! [SV37: $i] :
( ( ( in @ ( sK243_SY219 @ SV37 ) @ sK105_SX0 )
= $true )
| ( ( in @ SV37 @ sK105_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2469]) ).
thf(2613,plain,
! [SV37: $i] :
( ( ( SV37
= ( sK243_SY219 @ SV37 ) )
= $false )
| ( ( in @ SV37 @ sK105_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2470]) ).
thf(2614,plain,
! [SV37: $i] :
( ( ( in @ SV37 @ ( sK243_SY219 @ SV37 ) )
= $false )
| ( ( in @ SV37 @ sK105_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK43_SX0 @ sK43_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2470]) ).
thf(2615,plain,
! [SV58: $i] :
( ( ( ~ ( in @ ( sK264_SY264 @ SV58 ) @ sK132_SX0 )
| ( SV58
= ( sK264_SY264 @ SV58 ) )
| ( in @ SV58 @ ( sK264_SY264 @ SV58 ) ) )
= $false )
| ( ( in @ SV58 @ sK132_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2471]) ).
thf(2616,plain,
! [SV59: $i] :
( ( ( ~ ( in @ ( sK265_SY265 @ SV59 ) @ sK133_SX0 )
| ( SV59
= ( sK265_SY265 @ SV59 ) )
| ( in @ SV59 @ ( sK265_SY265 @ SV59 ) ) )
= $false )
| ( ( in @ SV59 @ sK133_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2472]) ).
thf(2617,plain,
! [SV74: $i] :
( ( ( ! [SY312: $i] :
( ~ ( in @ SY312 @ sK156_SX0 )
| ( SV74 = SY312 )
| ( in @ SV74 @ SY312 ) ) )
= $false )
| ( ( in @ SV74 @ sK156_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2473]) ).
thf(2618,plain,
! [SV75: $i] :
( ( ( ! [SY313: $i] :
( ~ ( in @ SY313 @ sK157_SX0 )
| ( SV75 = SY313 )
| ( in @ SV75 @ SY313 ) ) )
= $false )
| ( ( in @ SV75 @ sK157_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2474]) ).
thf(2619,plain,
! [SV76: $i] :
( ( ( ! [SY314: $i] :
( ~ ( in @ SY314 @ sK158_SX0 )
| ( SV76 = SY314 )
| ( in @ SV76 @ SY314 ) ) )
= $false )
| ( ( in @ SV76 @ sK158_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2475]) ).
thf(2620,plain,
! [SV77: $i] :
( ( ( ! [SY315: $i] :
( ~ ( in @ SY315 @ sK159_SX0 )
| ( SV77 = SY315 )
| ( in @ SV77 @ SY315 ) ) )
= $false )
| ( ( in @ SV77 @ sK159_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2476]) ).
thf(2621,plain,
! [SV60: $i] :
( ( ( ~ ( in @ ( sK266_SY266 @ SV60 ) @ sK134_SX0 )
| ( SV60
= ( sK266_SY266 @ SV60 ) )
| ( in @ SV60 @ ( sK266_SY266 @ SV60 ) ) )
= $false )
| ( ( in @ SV60 @ sK134_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2477]) ).
thf(2622,plain,
! [SV61: $i] :
( ( ( ~ ( in @ ( sK267_SY267 @ SV61 ) @ sK135_SX0 )
| ( SV61
= ( sK267_SY267 @ SV61 ) )
| ( in @ SV61 @ ( sK267_SY267 @ SV61 ) ) )
= $false )
| ( ( in @ SV61 @ sK135_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2478]) ).
thf(2623,plain,
! [SV38: $i] :
( ( ( in @ ( sK244_SY220 @ SV38 ) @ sK106_SX0 )
= $true )
| ( ( in @ SV38 @ sK106_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2491]) ).
thf(2624,plain,
! [SV38: $i] :
( ( ( SV38
= ( sK244_SY220 @ SV38 ) )
= $false )
| ( ( in @ SV38 @ sK106_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2492]) ).
thf(2625,plain,
! [SV38: $i] :
( ( ( in @ SV38 @ ( sK244_SY220 @ SV38 ) )
= $false )
| ( ( in @ SV38 @ sK106_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2492]) ).
thf(2626,plain,
! [SV39: $i] :
( ( ( in @ ( sK245_SY221 @ SV39 ) @ sK107_SX0 )
= $true )
| ( ( in @ SV39 @ sK107_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2493]) ).
thf(2627,plain,
! [SV39: $i] :
( ( ( SV39
= ( sK245_SY221 @ SV39 ) )
= $false )
| ( ( in @ SV39 @ sK107_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2494]) ).
thf(2628,plain,
! [SV39: $i] :
( ( ( in @ SV39 @ ( sK245_SY221 @ SV39 ) )
= $false )
| ( ( in @ SV39 @ sK107_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK46_SX0 @ sK46_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2494]) ).
thf(2629,plain,
! [SV50: $i] :
( ( ( ~ ( in @ ( sK256_SY240 @ SV50 ) @ sK120_SX0 ) )
= $false )
| ( ( in @ SV50 @ sK120_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2495]) ).
thf(2630,plain,
! [SV50: $i] :
( ( ( ( SV50
= ( sK256_SY240 @ SV50 ) )
| ( in @ SV50 @ ( sK256_SY240 @ SV50 ) ) )
= $false )
| ( ( in @ SV50 @ sK120_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2495]) ).
thf(2631,plain,
! [SV51: $i] :
( ( ( ~ ( in @ ( sK257_SY241 @ SV51 ) @ sK121_SX0 ) )
= $false )
| ( ( in @ SV51 @ sK121_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2496]) ).
thf(2632,plain,
! [SV51: $i] :
( ( ( ( SV51
= ( sK257_SY241 @ SV51 ) )
| ( in @ SV51 @ ( sK257_SY241 @ SV51 ) ) )
= $false )
| ( ( in @ SV51 @ sK121_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2496]) ).
thf(2633,plain,
! [SV52: $i] :
( ( ( ~ ( in @ ( sK258_SY242 @ SV52 ) @ sK122_SX0 ) )
= $false )
| ( ( in @ SV52 @ sK122_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2497]) ).
thf(2634,plain,
! [SV52: $i] :
( ( ( ( SV52
= ( sK258_SY242 @ SV52 ) )
| ( in @ SV52 @ ( sK258_SY242 @ SV52 ) ) )
= $false )
| ( ( in @ SV52 @ sK122_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2497]) ).
thf(2635,plain,
! [SV53: $i] :
( ( ( ~ ( in @ ( sK259_SY243 @ SV53 ) @ sK123_SX0 ) )
= $false )
| ( ( in @ SV53 @ sK123_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2498]) ).
thf(2636,plain,
! [SV53: $i] :
( ( ( ( SV53
= ( sK259_SY243 @ SV53 ) )
| ( in @ SV53 @ ( sK259_SY243 @ SV53 ) ) )
= $false )
| ( ( in @ SV53 @ sK123_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2498]) ).
thf(2637,plain,
! [SV40: $i] :
( ( ( in @ ( sK246_SY222 @ SV40 ) @ sK108_SX0 )
= $true )
| ( ( in @ SV40 @ sK108_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2499]) ).
thf(2638,plain,
! [SV40: $i] :
( ( ( SV40
= ( sK246_SY222 @ SV40 ) )
= $false )
| ( ( in @ SV40 @ sK108_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2500]) ).
thf(2639,plain,
! [SV40: $i] :
( ( ( in @ SV40 @ ( sK246_SY222 @ SV40 ) )
= $false )
| ( ( in @ SV40 @ sK108_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2500]) ).
thf(2640,plain,
! [SV41: $i] :
( ( ( in @ ( sK247_SY223 @ SV41 ) @ sK109_SX0 )
= $true )
| ( ( in @ SV41 @ sK109_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2501]) ).
thf(2641,plain,
! [SV41: $i] :
( ( ( SV41
= ( sK247_SY223 @ SV41 ) )
= $false )
| ( ( in @ SV41 @ sK109_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2502]) ).
thf(2642,plain,
! [SV41: $i] :
( ( ( in @ SV41 @ ( sK247_SY223 @ SV41 ) )
= $false )
| ( ( in @ SV41 @ sK109_SX0 )
= $false )
| ( ( in @ sK19_SY11 @ sK13_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK47_SX0 @ sK47_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2502]) ).
thf(2643,plain,
! [SV42: $i] :
( ( ( in @ ( sK248_SY224 @ SV42 ) @ sK110_SX0 )
= $true )
| ( ( in @ SV42 @ sK110_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2503]) ).
thf(2644,plain,
! [SV42: $i] :
( ( ( SV42
= ( sK248_SY224 @ SV42 ) )
= $false )
| ( ( in @ SV42 @ sK110_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2504]) ).
thf(2645,plain,
! [SV42: $i] :
( ( ( in @ SV42 @ ( sK248_SY224 @ SV42 ) )
= $false )
| ( ( in @ SV42 @ sK110_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2504]) ).
thf(2646,plain,
! [SV43: $i] :
( ( ( in @ ( sK249_SY225 @ SV43 ) @ sK111_SX0 )
= $true )
| ( ( in @ SV43 @ sK111_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2505]) ).
thf(2647,plain,
! [SV43: $i] :
( ( ( SV43
= ( sK249_SY225 @ SV43 ) )
= $false )
| ( ( in @ SV43 @ sK111_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2506]) ).
thf(2648,plain,
! [SV43: $i] :
( ( ( in @ SV43 @ ( sK249_SY225 @ SV43 ) )
= $false )
| ( ( in @ SV43 @ sK111_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK48_SX0 @ sK48_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2506]) ).
thf(2649,plain,
! [SV62: $i] :
( ( ( ~ ( in @ ( sK268_SY268 @ SV62 ) @ sK136_SX0 )
| ( SV62
= ( sK268_SY268 @ SV62 ) )
| ( in @ SV62 @ ( sK268_SY268 @ SV62 ) ) )
= $false )
| ( ( in @ SV62 @ sK136_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2507]) ).
thf(2650,plain,
! [SV63: $i] :
( ( ( ~ ( in @ ( sK269_SY269 @ SV63 ) @ sK137_SX0 )
| ( SV63
= ( sK269_SY269 @ SV63 ) )
| ( in @ SV63 @ ( sK269_SY269 @ SV63 ) ) )
= $false )
| ( ( in @ SV63 @ sK137_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2508]) ).
thf(2651,plain,
! [SV78: $i] :
( ( ( ! [SY316: $i] :
( ~ ( in @ SY316 @ sK160_SX0 )
| ( SV78 = SY316 )
| ( in @ SV78 @ SY316 ) ) )
= $false )
| ( ( in @ SV78 @ sK160_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2509]) ).
thf(2652,plain,
! [SV79: $i] :
( ( ( ! [SY317: $i] :
( ~ ( in @ SY317 @ sK161_SX0 )
| ( SV79 = SY317 )
| ( in @ SV79 @ SY317 ) ) )
= $false )
| ( ( in @ SV79 @ sK161_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2510]) ).
thf(2653,plain,
! [SV80: $i] :
( ( ( ! [SY318: $i] :
( ~ ( in @ SY318 @ sK162_SX0 )
| ( SV80 = SY318 )
| ( in @ SV80 @ SY318 ) ) )
= $false )
| ( ( in @ SV80 @ sK162_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2511]) ).
thf(2654,plain,
! [SV81: $i] :
( ( ( ! [SY319: $i] :
( ~ ( in @ SY319 @ sK163_SX0 )
| ( SV81 = SY319 )
| ( in @ SV81 @ SY319 ) ) )
= $false )
| ( ( in @ SV81 @ sK163_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2512]) ).
thf(2655,plain,
! [SV64: $i] :
( ( ( ~ ( in @ ( sK270_SY270 @ SV64 ) @ sK138_SX0 )
| ( SV64
= ( sK270_SY270 @ SV64 ) )
| ( in @ SV64 @ ( sK270_SY270 @ SV64 ) ) )
= $false )
| ( ( in @ SV64 @ sK138_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2513]) ).
thf(2656,plain,
! [SV65: $i] :
( ( ( ~ ( in @ ( sK271_SY271 @ SV65 ) @ sK139_SX0 )
| ( SV65
= ( sK271_SY271 @ SV65 ) )
| ( in @ SV65 @ ( sK271_SY271 @ SV65 ) ) )
= $false )
| ( ( in @ SV65 @ sK139_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2514]) ).
thf(2657,plain,
! [SV90: $i] :
( ( ( in @ SV90 @ sK176_SX0 )
= $false )
| ( ( ~ ! [SY344: $i] :
( ~ ( in @ SY344 @ sK176_SX0 )
| ( SV90 = SY344 )
| ( in @ SV90 @ SY344 ) ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2515]) ).
thf(2658,plain,
! [SV91: $i] :
( ( ( in @ SV91 @ sK177_SX0 )
= $false )
| ( ( ~ ! [SY345: $i] :
( ~ ( in @ SY345 @ sK177_SX0 )
| ( SV91 = SY345 )
| ( in @ SV91 @ SY345 ) ) )
= $true )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2516]) ).
thf(2659,plain,
! [SV102: $i] :
( ( ( ~ ( in @ SV102 @ sK192_SX0 )
| ~ ! [SY356: $i] :
( ~ ( in @ SY356 @ sK192_SX0 )
| ( SV102 = SY356 )
| ( in @ SV102 @ SY356 ) ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2517]) ).
thf(2660,plain,
! [SV103: $i] :
( ( ( ~ ( in @ SV103 @ sK193_SX0 )
| ~ ! [SY357: $i] :
( ~ ( in @ SY357 @ sK193_SX0 )
| ( SV103 = SY357 )
| ( in @ SV103 @ SY357 ) ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2518]) ).
thf(2661,plain,
! [SV118: $i] :
( ( ( ~ ( ~ ( in @ SV118 @ sK208_SX0 )
| ~ ! [SY372: $i] :
( ~ ( in @ SY372 @ sK208_SX0 )
| ( SV118 = SY372 )
| ( in @ SV118 @ SY372 ) ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2520]) ).
thf(2662,plain,
! [SV119: $i] :
( ( ( ~ ( ~ ( in @ SV119 @ sK209_SX0 )
| ~ ! [SY373: $i] :
( ~ ( in @ SY373 @ sK209_SX0 )
| ( SV119 = SY373 )
| ( in @ SV119 @ SY373 ) ) ) )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2522]) ).
thf(2663,plain,
! [SV120: $i] :
( ( ( ~ ( ~ ( in @ SV120 @ sK210_SX0 )
| ~ ! [SY374: $i] :
( ~ ( in @ SY374 @ sK210_SX0 )
| ( SV120 = SY374 )
| ( in @ SV120 @ SY374 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2524]) ).
thf(2664,plain,
! [SV121: $i] :
( ( ( ~ ( ~ ( in @ SV121 @ sK211_SX0 )
| ~ ! [SY375: $i] :
( ~ ( in @ SY375 @ sK211_SX0 )
| ( SV121 = SY375 )
| ( in @ SV121 @ SY375 ) ) ) )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2526]) ).
thf(2665,plain,
! [SV104: $i] :
( ( ( ~ ( in @ SV104 @ sK194_SX0 )
| ~ ! [SY358: $i] :
( ~ ( in @ SY358 @ sK194_SX0 )
| ( SV104 = SY358 )
| ( in @ SV104 @ SY358 ) ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2527]) ).
thf(2666,plain,
! [SV105: $i] :
( ( ( ~ ( in @ SV105 @ sK195_SX0 )
| ~ ! [SY359: $i] :
( ~ ( in @ SY359 @ sK195_SX0 )
| ( SV105 = SY359 )
| ( in @ SV105 @ SY359 ) ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2528]) ).
thf(2667,plain,
! [SV92: $i] :
( ( ( in @ SV92 @ sK178_SX0 )
= $false )
| ( ( ~ ! [SY346: $i] :
( ~ ( in @ SY346 @ sK178_SX0 )
| ( SV92 = SY346 )
| ( in @ SV92 @ SY346 ) ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2529]) ).
thf(2668,plain,
! [SV93: $i] :
( ( ( in @ SV93 @ sK179_SX0 )
= $false )
| ( ( ~ ! [SY347: $i] :
( ~ ( in @ SY347 @ sK179_SX0 )
| ( SV93 = SY347 )
| ( in @ SV93 @ SY347 ) ) )
= $true )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2530]) ).
thf(2669,plain,
! [SV106: $i] :
( ( ( ~ ( in @ SV106 @ sK196_SX0 )
| ~ ! [SY360: $i] :
( ~ ( in @ SY360 @ sK196_SX0 )
| ( SV106 = SY360 )
| ( in @ SV106 @ SY360 ) ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2531]) ).
thf(2670,plain,
! [SV107: $i] :
( ( ( ~ ( in @ SV107 @ sK197_SX0 )
| ~ ! [SY361: $i] :
( ~ ( in @ SY361 @ sK197_SX0 )
| ( SV107 = SY361 )
| ( in @ SV107 @ SY361 ) ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2532]) ).
thf(2671,plain,
! [SV122: $i] :
( ( ( ~ ( ~ ( in @ SV122 @ sK212_SX0 )
| ~ ! [SY376: $i] :
( ~ ( in @ SY376 @ sK212_SX0 )
| ( SV122 = SY376 )
| ( in @ SV122 @ SY376 ) ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2534]) ).
thf(2672,plain,
! [SV123: $i] :
( ( ( ~ ( ~ ( in @ SV123 @ sK213_SX0 )
| ~ ! [SY377: $i] :
( ~ ( in @ SY377 @ sK213_SX0 )
| ( SV123 = SY377 )
| ( in @ SV123 @ SY377 ) ) ) )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2536]) ).
thf(2673,plain,
! [SV124: $i] :
( ( ( ~ ( ~ ( in @ SV124 @ sK214_SX0 )
| ~ ! [SY378: $i] :
( ~ ( in @ SY378 @ sK214_SX0 )
| ( SV124 = SY378 )
| ( in @ SV124 @ SY378 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2538]) ).
thf(2674,plain,
! [SV125: $i] :
( ( ( ~ ( ~ ( in @ SV125 @ sK215_SX0 )
| ~ ! [SY379: $i] :
( ~ ( in @ SY379 @ sK215_SX0 )
| ( SV125 = SY379 )
| ( in @ SV125 @ SY379 ) ) ) )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2540]) ).
thf(2675,plain,
! [SV108: $i] :
( ( ( ~ ( in @ SV108 @ sK198_SX0 )
| ~ ! [SY362: $i] :
( ~ ( in @ SY362 @ sK198_SX0 )
| ( SV108 = SY362 )
| ( in @ SV108 @ SY362 ) ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2541]) ).
thf(2676,plain,
! [SV109: $i] :
( ( ( ~ ( in @ SV109 @ sK199_SX0 )
| ~ ! [SY363: $i] :
( ~ ( in @ SY363 @ sK199_SX0 )
| ( SV109 = SY363 )
| ( in @ SV109 @ SY363 ) ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2542]) ).
thf(2677,plain,
! [SV44: $i] :
( ( ( in @ ( sK250_SY234 @ SV44 ) @ sK114_SX0 )
= $true )
| ( ( in @ SV44 @ sK114_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2543]) ).
thf(2678,plain,
! [SV44: $i] :
( ( ( SV44
= ( sK250_SY234 @ SV44 ) )
= $false )
| ( ( in @ SV44 @ sK114_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2544]) ).
thf(2679,plain,
! [SV44: $i] :
( ( ( in @ SV44 @ ( sK250_SY234 @ SV44 ) )
= $false )
| ( ( in @ SV44 @ sK114_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2544]) ).
thf(2680,plain,
! [SV45: $i] :
( ( ( in @ ( sK251_SY235 @ SV45 ) @ sK115_SX0 )
= $true )
| ( ( in @ SV45 @ sK115_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2545]) ).
thf(2681,plain,
! [SV45: $i] :
( ( ( SV45
= ( sK251_SY235 @ SV45 ) )
= $false )
| ( ( in @ SV45 @ sK115_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2546]) ).
thf(2682,plain,
! [SV45: $i] :
( ( ( in @ SV45 @ ( sK251_SY235 @ SV45 ) )
= $false )
| ( ( in @ SV45 @ sK115_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK51_SX0 @ sK51_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2546]) ).
thf(2683,plain,
! [SV66: $i] :
( ( ( ~ ( in @ ( sK272_SY288 @ SV66 ) @ sK144_SX0 )
| ( SV66
= ( sK272_SY288 @ SV66 ) )
| ( in @ SV66 @ ( sK272_SY288 @ SV66 ) ) )
= $false )
| ( ( in @ SV66 @ sK144_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2547]) ).
thf(2684,plain,
! [SV67: $i] :
( ( ( ~ ( in @ ( sK273_SY289 @ SV67 ) @ sK145_SX0 )
| ( SV67
= ( sK273_SY289 @ SV67 ) )
| ( in @ SV67 @ ( sK273_SY289 @ SV67 ) ) )
= $false )
| ( ( in @ SV67 @ sK145_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2548]) ).
thf(2685,plain,
! [SV82: $i] :
( ( ( ! [SY336: $i] :
( ~ ( in @ SY336 @ sK168_SX0 )
| ( SV82 = SY336 )
| ( in @ SV82 @ SY336 ) ) )
= $false )
| ( ( in @ SV82 @ sK168_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2549]) ).
thf(2686,plain,
! [SV83: $i] :
( ( ( ! [SY337: $i] :
( ~ ( in @ SY337 @ sK169_SX0 )
| ( SV83 = SY337 )
| ( in @ SV83 @ SY337 ) ) )
= $false )
| ( ( in @ SV83 @ sK169_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2550]) ).
thf(2687,plain,
! [SV84: $i] :
( ( ( ! [SY338: $i] :
( ~ ( in @ SY338 @ sK170_SX0 )
| ( SV84 = SY338 )
| ( in @ SV84 @ SY338 ) ) )
= $false )
| ( ( in @ SV84 @ sK170_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2551]) ).
thf(2688,plain,
! [SV85: $i] :
( ( ( ! [SY339: $i] :
( ~ ( in @ SY339 @ sK171_SX0 )
| ( SV85 = SY339 )
| ( in @ SV85 @ SY339 ) ) )
= $false )
| ( ( in @ SV85 @ sK171_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2552]) ).
thf(2689,plain,
! [SV68: $i] :
( ( ( ~ ( in @ ( sK274_SY290 @ SV68 ) @ sK146_SX0 )
| ( SV68
= ( sK274_SY290 @ SV68 ) )
| ( in @ SV68 @ ( sK274_SY290 @ SV68 ) ) )
= $false )
| ( ( in @ SV68 @ sK146_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2553]) ).
thf(2690,plain,
! [SV69: $i] :
( ( ( ~ ( in @ ( sK275_SY291 @ SV69 ) @ sK147_SX0 )
| ( SV69
= ( sK275_SY291 @ SV69 ) )
| ( in @ SV69 @ ( sK275_SY291 @ SV69 ) ) )
= $false )
| ( ( in @ SV69 @ sK147_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2554]) ).
thf(2691,plain,
! [SV46: $i] :
( ( ( in @ ( sK252_SY236 @ SV46 ) @ sK116_SX0 )
= $true )
| ( ( in @ SV46 @ sK116_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2561]) ).
thf(2692,plain,
! [SV46: $i] :
( ( ( SV46
= ( sK252_SY236 @ SV46 ) )
= $false )
| ( ( in @ SV46 @ sK116_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2562]) ).
thf(2693,plain,
! [SV46: $i] :
( ( ( in @ SV46 @ ( sK252_SY236 @ SV46 ) )
= $false )
| ( ( in @ SV46 @ sK116_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2562]) ).
thf(2694,plain,
! [SV47: $i] :
( ( ( in @ ( sK253_SY237 @ SV47 ) @ sK117_SX0 )
= $true )
| ( ( in @ SV47 @ sK117_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2563]) ).
thf(2695,plain,
! [SV47: $i] :
( ( ( SV47
= ( sK253_SY237 @ SV47 ) )
= $false )
| ( ( in @ SV47 @ sK117_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2564]) ).
thf(2696,plain,
! [SV47: $i] :
( ( ( in @ SV47 @ ( sK253_SY237 @ SV47 ) )
= $false )
| ( ( in @ SV47 @ sK117_SX0 )
= $false )
| ( ( sK11_SX0 = sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK52_SX0 @ sK52_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2564]) ).
thf(2697,plain,
! [SV48: $i] :
( ( ( in @ ( sK254_SY238 @ SV48 ) @ sK118_SX0 )
= $true )
| ( ( in @ SV48 @ sK118_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2565]) ).
thf(2698,plain,
! [SV48: $i] :
( ( ( SV48
= ( sK254_SY238 @ SV48 ) )
= $false )
| ( ( in @ SV48 @ sK118_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2566]) ).
thf(2699,plain,
! [SV48: $i] :
( ( ( in @ SV48 @ ( sK254_SY238 @ SV48 ) )
= $false )
| ( ( in @ SV48 @ sK118_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2566]) ).
thf(2700,plain,
! [SV49: $i] :
( ( ( in @ ( sK255_SY239 @ SV49 ) @ sK119_SX0 )
= $true )
| ( ( in @ SV49 @ sK119_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2567]) ).
thf(2701,plain,
! [SV49: $i] :
( ( ( SV49
= ( sK255_SY239 @ SV49 ) )
= $false )
| ( ( in @ SV49 @ sK119_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2568]) ).
thf(2702,plain,
! [SV49: $i] :
( ( ( in @ SV49 @ ( sK255_SY239 @ SV49 ) )
= $false )
| ( ( in @ SV49 @ sK119_SX0 )
= $false )
| ( ( in @ sK11_SX0 @ sK15_SY10 )
= $false )
| ( ( in @ sK4_SY2 @ emptyset )
= $true )
| ( ( in @ sK53_SX0 @ sK53_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2568]) ).
thf(2703,plain,
! [SV54: $i] :
( ( ( ~ ( in @ ( sK260_SY244 @ SV54 ) @ sK124_SX0 ) )
= $false )
| ( ( in @ SV54 @ sK124_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2581]) ).
thf(2704,plain,
! [SV54: $i] :
( ( ( ( SV54
= ( sK260_SY244 @ SV54 ) )
| ( in @ SV54 @ ( sK260_SY244 @ SV54 ) ) )
= $false )
| ( ( in @ SV54 @ sK124_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2581]) ).
thf(2705,plain,
! [SV55: $i] :
( ( ( ~ ( in @ ( sK261_SY245 @ SV55 ) @ sK125_SX0 ) )
= $false )
| ( ( in @ SV55 @ sK125_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2582]) ).
thf(2706,plain,
! [SV55: $i] :
( ( ( ( SV55
= ( sK261_SY245 @ SV55 ) )
| ( in @ SV55 @ ( sK261_SY245 @ SV55 ) ) )
= $false )
| ( ( in @ SV55 @ sK125_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2582]) ).
thf(2707,plain,
! [SV70: $i] :
( ( ( ~ ( in @ ( sK276_SY292 @ SV70 ) @ sK148_SX0 )
| ( SV70
= ( sK276_SY292 @ SV70 ) )
| ( in @ SV70 @ ( sK276_SY292 @ SV70 ) ) )
= $false )
| ( ( in @ SV70 @ sK148_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2583]) ).
thf(2708,plain,
! [SV71: $i] :
( ( ( ~ ( in @ ( sK277_SY293 @ SV71 ) @ sK149_SX0 )
| ( SV71
= ( sK277_SY293 @ SV71 ) )
| ( in @ SV71 @ ( sK277_SY293 @ SV71 ) ) )
= $false )
| ( ( in @ SV71 @ sK149_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2584]) ).
thf(2709,plain,
! [SV72: $i] :
( ( ( ~ ( in @ ( sK278_SY294 @ SV72 ) @ sK150_SX0 )
| ( SV72
= ( sK278_SY294 @ SV72 ) )
| ( in @ SV72 @ ( sK278_SY294 @ SV72 ) ) )
= $false )
| ( ( in @ SV72 @ sK150_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2585]) ).
thf(2710,plain,
! [SV73: $i] :
( ( ( ~ ( in @ ( sK279_SY295 @ SV73 ) @ sK151_SX0 )
| ( SV73
= ( sK279_SY295 @ SV73 ) )
| ( in @ SV73 @ ( sK279_SY295 @ SV73 ) ) )
= $false )
| ( ( in @ SV73 @ sK151_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2586]) ).
thf(2711,plain,
! [SV56: $i] :
( ( ( ~ ( in @ ( sK262_SY246 @ SV56 ) @ sK126_SX0 ) )
= $false )
| ( ( in @ SV56 @ sK126_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2587]) ).
thf(2712,plain,
! [SV56: $i] :
( ( ( ( SV56
= ( sK262_SY246 @ SV56 ) )
| ( in @ SV56 @ ( sK262_SY246 @ SV56 ) ) )
= $false )
| ( ( in @ SV56 @ sK126_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2587]) ).
thf(2713,plain,
! [SV57: $i] :
( ( ( ~ ( in @ ( sK263_SY247 @ SV57 ) @ sK127_SX0 ) )
= $false )
| ( ( in @ SV57 @ sK127_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2588]) ).
thf(2714,plain,
! [SV57: $i] :
( ( ( ( SV57
= ( sK263_SY247 @ SV57 ) )
| ( in @ SV57 @ ( sK263_SY247 @ SV57 ) ) )
= $false )
| ( ( in @ SV57 @ sK127_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2588]) ).
thf(2715,plain,
! [SV86: $i] :
( ( ( ! [SY340: $i] :
( ~ ( in @ SY340 @ sK172_SX0 )
| ( SV86 = SY340 )
| ( in @ SV86 @ SY340 ) ) )
= $false )
| ( ( in @ SV86 @ sK172_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2589]) ).
thf(2716,plain,
! [SV87: $i] :
( ( ( ! [SY341: $i] :
( ~ ( in @ SY341 @ sK173_SX0 )
| ( SV87 = SY341 )
| ( in @ SV87 @ SY341 ) ) )
= $false )
| ( ( in @ SV87 @ sK173_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2590]) ).
thf(2717,plain,
! [SV94: $i] :
( ( ( ~ ( in @ SV94 @ sK182_SX0 ) )
= $true )
| ( ( ~ ! [SY348: $i] :
( ~ ( in @ SY348 @ sK182_SX0 )
| ( SV94 = SY348 )
| ( in @ SV94 @ SY348 ) ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2591]) ).
thf(2718,plain,
! [SV95: $i] :
( ( ( ~ ( in @ SV95 @ sK183_SX0 ) )
= $true )
| ( ( ~ ! [SY349: $i] :
( ~ ( in @ SY349 @ sK183_SX0 )
| ( SV95 = SY349 )
| ( in @ SV95 @ SY349 ) ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2592]) ).
thf(2719,plain,
! [SV110: $i] :
( ( ( ~ ( in @ SV110 @ sK200_SX0 )
| ~ ! [SY364: $i] :
( ~ ( in @ SY364 @ sK200_SX0 )
| ( SV110 = SY364 )
| ( in @ SV110 @ SY364 ) ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2593]) ).
thf(2720,plain,
! [SV111: $i] :
( ( ( ~ ( in @ SV111 @ sK201_SX0 )
| ~ ! [SY365: $i] :
( ~ ( in @ SY365 @ sK201_SX0 )
| ( SV111 = SY365 )
| ( in @ SV111 @ SY365 ) ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2594]) ).
thf(2721,plain,
! [SV112: $i] :
( ( ( ~ ( in @ SV112 @ sK202_SX0 )
| ~ ! [SY366: $i] :
( ~ ( in @ SY366 @ sK202_SX0 )
| ( SV112 = SY366 )
| ( in @ SV112 @ SY366 ) ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2595]) ).
thf(2722,plain,
! [SV113: $i] :
( ( ( ~ ( in @ SV113 @ sK203_SX0 )
| ~ ! [SY367: $i] :
( ~ ( in @ SY367 @ sK203_SX0 )
| ( SV113 = SY367 )
| ( in @ SV113 @ SY367 ) ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2596]) ).
thf(2723,plain,
! [SV96: $i] :
( ( ( ~ ( in @ SV96 @ sK184_SX0 ) )
= $true )
| ( ( ~ ! [SY350: $i] :
( ~ ( in @ SY350 @ sK184_SX0 )
| ( SV96 = SY350 )
| ( in @ SV96 @ SY350 ) ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2597]) ).
thf(2724,plain,
! [SV97: $i] :
( ( ( ~ ( in @ SV97 @ sK185_SX0 ) )
= $true )
| ( ( ~ ! [SY351: $i] :
( ~ ( in @ SY351 @ sK185_SX0 )
| ( SV97 = SY351 )
| ( in @ SV97 @ SY351 ) ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2598]) ).
thf(2725,plain,
! [SV88: $i] :
( ( ( ! [SY342: $i] :
( ~ ( in @ SY342 @ sK174_SX0 )
| ( SV88 = SY342 )
| ( in @ SV88 @ SY342 ) ) )
= $false )
| ( ( in @ SV88 @ sK174_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2599]) ).
thf(2726,plain,
! [SV89: $i] :
( ( ( ! [SY343: $i] :
( ~ ( in @ SY343 @ sK175_SX0 )
| ( SV89 = SY343 )
| ( in @ SV89 @ SY343 ) ) )
= $false )
| ( ( in @ SV89 @ sK175_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2600]) ).
thf(2727,plain,
! [SV98: $i] :
( ( ( ~ ( in @ SV98 @ sK186_SX0 ) )
= $true )
| ( ( ~ ! [SY352: $i] :
( ~ ( in @ SY352 @ sK186_SX0 )
| ( SV98 = SY352 )
| ( in @ SV98 @ SY352 ) ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2601]) ).
thf(2728,plain,
! [SV99: $i] :
( ( ( ~ ( in @ SV99 @ sK187_SX0 ) )
= $true )
| ( ( ~ ! [SY353: $i] :
( ~ ( in @ SY353 @ sK187_SX0 )
| ( SV99 = SY353 )
| ( in @ SV99 @ SY353 ) ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2602]) ).
thf(2729,plain,
! [SV114: $i] :
( ( ( ~ ( in @ SV114 @ sK204_SX0 )
| ~ ! [SY368: $i] :
( ~ ( in @ SY368 @ sK204_SX0 )
| ( SV114 = SY368 )
| ( in @ SV114 @ SY368 ) ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2603]) ).
thf(2730,plain,
! [SV115: $i] :
( ( ( ~ ( in @ SV115 @ sK205_SX0 )
| ~ ! [SY369: $i] :
( ~ ( in @ SY369 @ sK205_SX0 )
| ( SV115 = SY369 )
| ( in @ SV115 @ SY369 ) ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2604]) ).
thf(2731,plain,
! [SV116: $i] :
( ( ( ~ ( in @ SV116 @ sK206_SX0 )
| ~ ! [SY370: $i] :
( ~ ( in @ SY370 @ sK206_SX0 )
| ( SV116 = SY370 )
| ( in @ SV116 @ SY370 ) ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2605]) ).
thf(2732,plain,
! [SV117: $i] :
( ( ( ~ ( in @ SV117 @ sK207_SX0 )
| ~ ! [SY371: $i] :
( ~ ( in @ SY371 @ sK207_SX0 )
| ( SV117 = SY371 )
| ( in @ SV117 @ SY371 ) ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2606]) ).
thf(2733,plain,
! [SV100: $i] :
( ( ( ~ ( in @ SV100 @ sK188_SX0 ) )
= $true )
| ( ( ~ ! [SY354: $i] :
( ~ ( in @ SY354 @ sK188_SX0 )
| ( SV100 = SY354 )
| ( in @ SV100 @ SY354 ) ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2607]) ).
thf(2734,plain,
! [SV101: $i] :
( ( ( ~ ( in @ SV101 @ sK189_SX0 ) )
= $true )
| ( ( ~ ! [SY355: $i] :
( ~ ( in @ SY355 @ sK189_SX0 )
| ( SV101 = SY355 )
| ( in @ SV101 @ SY355 ) ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2608]) ).
thf(2735,plain,
! [SV58: $i] :
( ( ( ~ ( in @ ( sK264_SY264 @ SV58 ) @ sK132_SX0 ) )
= $false )
| ( ( in @ SV58 @ sK132_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2615]) ).
thf(2736,plain,
! [SV58: $i] :
( ( ( ( SV58
= ( sK264_SY264 @ SV58 ) )
| ( in @ SV58 @ ( sK264_SY264 @ SV58 ) ) )
= $false )
| ( ( in @ SV58 @ sK132_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2615]) ).
thf(2737,plain,
! [SV59: $i] :
( ( ( ~ ( in @ ( sK265_SY265 @ SV59 ) @ sK133_SX0 ) )
= $false )
| ( ( in @ SV59 @ sK133_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2616]) ).
thf(2738,plain,
! [SV59: $i] :
( ( ( ( SV59
= ( sK265_SY265 @ SV59 ) )
| ( in @ SV59 @ ( sK265_SY265 @ SV59 ) ) )
= $false )
| ( ( in @ SV59 @ sK133_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2616]) ).
thf(2739,plain,
! [SV74: $i] :
( ( ( ~ ( in @ ( sK280_SY312 @ SV74 ) @ sK156_SX0 )
| ( SV74
= ( sK280_SY312 @ SV74 ) )
| ( in @ SV74 @ ( sK280_SY312 @ SV74 ) ) )
= $false )
| ( ( in @ SV74 @ sK156_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2617]) ).
thf(2740,plain,
! [SV75: $i] :
( ( ( ~ ( in @ ( sK281_SY313 @ SV75 ) @ sK157_SX0 )
| ( SV75
= ( sK281_SY313 @ SV75 ) )
| ( in @ SV75 @ ( sK281_SY313 @ SV75 ) ) )
= $false )
| ( ( in @ SV75 @ sK157_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2618]) ).
thf(2741,plain,
! [SV76: $i] :
( ( ( ~ ( in @ ( sK282_SY314 @ SV76 ) @ sK158_SX0 )
| ( SV76
= ( sK282_SY314 @ SV76 ) )
| ( in @ SV76 @ ( sK282_SY314 @ SV76 ) ) )
= $false )
| ( ( in @ SV76 @ sK158_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2619]) ).
thf(2742,plain,
! [SV77: $i] :
( ( ( ~ ( in @ ( sK283_SY315 @ SV77 ) @ sK159_SX0 )
| ( SV77
= ( sK283_SY315 @ SV77 ) )
| ( in @ SV77 @ ( sK283_SY315 @ SV77 ) ) )
= $false )
| ( ( in @ SV77 @ sK159_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2620]) ).
thf(2743,plain,
! [SV60: $i] :
( ( ( ~ ( in @ ( sK266_SY266 @ SV60 ) @ sK134_SX0 ) )
= $false )
| ( ( in @ SV60 @ sK134_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2621]) ).
thf(2744,plain,
! [SV60: $i] :
( ( ( ( SV60
= ( sK266_SY266 @ SV60 ) )
| ( in @ SV60 @ ( sK266_SY266 @ SV60 ) ) )
= $false )
| ( ( in @ SV60 @ sK134_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2621]) ).
thf(2745,plain,
! [SV61: $i] :
( ( ( ~ ( in @ ( sK267_SY267 @ SV61 ) @ sK135_SX0 ) )
= $false )
| ( ( in @ SV61 @ sK135_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2622]) ).
thf(2746,plain,
! [SV61: $i] :
( ( ( ( SV61
= ( sK267_SY267 @ SV61 ) )
| ( in @ SV61 @ ( sK267_SY267 @ SV61 ) ) )
= $false )
| ( ( in @ SV61 @ sK135_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2622]) ).
thf(2747,plain,
! [SV50: $i] :
( ( ( in @ ( sK256_SY240 @ SV50 ) @ sK120_SX0 )
= $true )
| ( ( in @ SV50 @ sK120_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2629]) ).
thf(2748,plain,
! [SV50: $i] :
( ( ( SV50
= ( sK256_SY240 @ SV50 ) )
= $false )
| ( ( in @ SV50 @ sK120_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2630]) ).
thf(2749,plain,
! [SV50: $i] :
( ( ( in @ SV50 @ ( sK256_SY240 @ SV50 ) )
= $false )
| ( ( in @ SV50 @ sK120_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2630]) ).
thf(2750,plain,
! [SV51: $i] :
( ( ( in @ ( sK257_SY241 @ SV51 ) @ sK121_SX0 )
= $true )
| ( ( in @ SV51 @ sK121_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2631]) ).
thf(2751,plain,
! [SV51: $i] :
( ( ( SV51
= ( sK257_SY241 @ SV51 ) )
= $false )
| ( ( in @ SV51 @ sK121_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2632]) ).
thf(2752,plain,
! [SV51: $i] :
( ( ( in @ SV51 @ ( sK257_SY241 @ SV51 ) )
= $false )
| ( ( in @ SV51 @ sK121_SX0 )
= $false )
| ( ( sK13_SX0 = sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK54_SX0 @ sK54_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2632]) ).
thf(2753,plain,
! [SV52: $i] :
( ( ( in @ ( sK258_SY242 @ SV52 ) @ sK122_SX0 )
= $true )
| ( ( in @ SV52 @ sK122_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2633]) ).
thf(2754,plain,
! [SV52: $i] :
( ( ( SV52
= ( sK258_SY242 @ SV52 ) )
= $false )
| ( ( in @ SV52 @ sK122_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2634]) ).
thf(2755,plain,
! [SV52: $i] :
( ( ( in @ SV52 @ ( sK258_SY242 @ SV52 ) )
= $false )
| ( ( in @ SV52 @ sK122_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2634]) ).
thf(2756,plain,
! [SV53: $i] :
( ( ( in @ ( sK259_SY243 @ SV53 ) @ sK123_SX0 )
= $true )
| ( ( in @ SV53 @ sK123_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2635]) ).
thf(2757,plain,
! [SV53: $i] :
( ( ( SV53
= ( sK259_SY243 @ SV53 ) )
= $false )
| ( ( in @ SV53 @ sK123_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2636]) ).
thf(2758,plain,
! [SV53: $i] :
( ( ( in @ SV53 @ ( sK259_SY243 @ SV53 ) )
= $false )
| ( ( in @ SV53 @ sK123_SX0 )
= $false )
| ( ( in @ sK13_SX0 @ sK19_SY11 )
= $false )
| ( ( in @ sK5_SY4 @ emptyset )
= $true )
| ( ( in @ sK55_SX0 @ sK55_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2636]) ).
thf(2759,plain,
! [SV62: $i] :
( ( ( ~ ( in @ ( sK268_SY268 @ SV62 ) @ sK136_SX0 ) )
= $false )
| ( ( in @ SV62 @ sK136_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2649]) ).
thf(2760,plain,
! [SV62: $i] :
( ( ( ( SV62
= ( sK268_SY268 @ SV62 ) )
| ( in @ SV62 @ ( sK268_SY268 @ SV62 ) ) )
= $false )
| ( ( in @ SV62 @ sK136_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2649]) ).
thf(2761,plain,
! [SV63: $i] :
( ( ( ~ ( in @ ( sK269_SY269 @ SV63 ) @ sK137_SX0 ) )
= $false )
| ( ( in @ SV63 @ sK137_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2650]) ).
thf(2762,plain,
! [SV63: $i] :
( ( ( ( SV63
= ( sK269_SY269 @ SV63 ) )
| ( in @ SV63 @ ( sK269_SY269 @ SV63 ) ) )
= $false )
| ( ( in @ SV63 @ sK137_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2650]) ).
thf(2763,plain,
! [SV78: $i] :
( ( ( ~ ( in @ ( sK284_SY316 @ SV78 ) @ sK160_SX0 )
| ( SV78
= ( sK284_SY316 @ SV78 ) )
| ( in @ SV78 @ ( sK284_SY316 @ SV78 ) ) )
= $false )
| ( ( in @ SV78 @ sK160_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2651]) ).
thf(2764,plain,
! [SV79: $i] :
( ( ( ~ ( in @ ( sK285_SY317 @ SV79 ) @ sK161_SX0 )
| ( SV79
= ( sK285_SY317 @ SV79 ) )
| ( in @ SV79 @ ( sK285_SY317 @ SV79 ) ) )
= $false )
| ( ( in @ SV79 @ sK161_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2652]) ).
thf(2765,plain,
! [SV80: $i] :
( ( ( ~ ( in @ ( sK286_SY318 @ SV80 ) @ sK162_SX0 )
| ( SV80
= ( sK286_SY318 @ SV80 ) )
| ( in @ SV80 @ ( sK286_SY318 @ SV80 ) ) )
= $false )
| ( ( in @ SV80 @ sK162_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2653]) ).
thf(2766,plain,
! [SV81: $i] :
( ( ( ~ ( in @ ( sK287_SY319 @ SV81 ) @ sK163_SX0 )
| ( SV81
= ( sK287_SY319 @ SV81 ) )
| ( in @ SV81 @ ( sK287_SY319 @ SV81 ) ) )
= $false )
| ( ( in @ SV81 @ sK163_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2654]) ).
thf(2767,plain,
! [SV64: $i] :
( ( ( ~ ( in @ ( sK270_SY270 @ SV64 ) @ sK138_SX0 ) )
= $false )
| ( ( in @ SV64 @ sK138_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2655]) ).
thf(2768,plain,
! [SV64: $i] :
( ( ( ( SV64
= ( sK270_SY270 @ SV64 ) )
| ( in @ SV64 @ ( sK270_SY270 @ SV64 ) ) )
= $false )
| ( ( in @ SV64 @ sK138_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2655]) ).
thf(2769,plain,
! [SV65: $i] :
( ( ( ~ ( in @ ( sK271_SY271 @ SV65 ) @ sK139_SX0 ) )
= $false )
| ( ( in @ SV65 @ sK139_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2656]) ).
thf(2770,plain,
! [SV65: $i] :
( ( ( ( SV65
= ( sK271_SY271 @ SV65 ) )
| ( in @ SV65 @ ( sK271_SY271 @ SV65 ) ) )
= $false )
| ( ( in @ SV65 @ sK139_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2656]) ).
thf(2771,plain,
! [SV90: $i] :
( ( ( ! [SY344: $i] :
( ~ ( in @ SY344 @ sK176_SX0 )
| ( SV90 = SY344 )
| ( in @ SV90 @ SY344 ) ) )
= $false )
| ( ( in @ SV90 @ sK176_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2657]) ).
thf(2772,plain,
! [SV91: $i] :
( ( ( ! [SY345: $i] :
( ~ ( in @ SY345 @ sK177_SX0 )
| ( SV91 = SY345 )
| ( in @ SV91 @ SY345 ) ) )
= $false )
| ( ( in @ SV91 @ sK177_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2658]) ).
thf(2773,plain,
! [SV102: $i] :
( ( ( ~ ( in @ SV102 @ sK192_SX0 ) )
= $true )
| ( ( ~ ! [SY356: $i] :
( ~ ( in @ SY356 @ sK192_SX0 )
| ( SV102 = SY356 )
| ( in @ SV102 @ SY356 ) ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2659]) ).
thf(2774,plain,
! [SV103: $i] :
( ( ( ~ ( in @ SV103 @ sK193_SX0 ) )
= $true )
| ( ( ~ ! [SY357: $i] :
( ~ ( in @ SY357 @ sK193_SX0 )
| ( SV103 = SY357 )
| ( in @ SV103 @ SY357 ) ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2660]) ).
thf(2775,plain,
! [SV118: $i] :
( ( ( ~ ( in @ SV118 @ sK208_SX0 )
| ~ ! [SY372: $i] :
( ~ ( in @ SY372 @ sK208_SX0 )
| ( SV118 = SY372 )
| ( in @ SV118 @ SY372 ) ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2661]) ).
thf(2776,plain,
! [SV119: $i] :
( ( ( ~ ( in @ SV119 @ sK209_SX0 )
| ~ ! [SY373: $i] :
( ~ ( in @ SY373 @ sK209_SX0 )
| ( SV119 = SY373 )
| ( in @ SV119 @ SY373 ) ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2662]) ).
thf(2777,plain,
! [SV120: $i] :
( ( ( ~ ( in @ SV120 @ sK210_SX0 )
| ~ ! [SY374: $i] :
( ~ ( in @ SY374 @ sK210_SX0 )
| ( SV120 = SY374 )
| ( in @ SV120 @ SY374 ) ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2663]) ).
thf(2778,plain,
! [SV121: $i] :
( ( ( ~ ( in @ SV121 @ sK211_SX0 )
| ~ ! [SY375: $i] :
( ~ ( in @ SY375 @ sK211_SX0 )
| ( SV121 = SY375 )
| ( in @ SV121 @ SY375 ) ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2664]) ).
thf(2779,plain,
! [SV104: $i] :
( ( ( ~ ( in @ SV104 @ sK194_SX0 ) )
= $true )
| ( ( ~ ! [SY358: $i] :
( ~ ( in @ SY358 @ sK194_SX0 )
| ( SV104 = SY358 )
| ( in @ SV104 @ SY358 ) ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2665]) ).
thf(2780,plain,
! [SV105: $i] :
( ( ( ~ ( in @ SV105 @ sK195_SX0 ) )
= $true )
| ( ( ~ ! [SY359: $i] :
( ~ ( in @ SY359 @ sK195_SX0 )
| ( SV105 = SY359 )
| ( in @ SV105 @ SY359 ) ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2666]) ).
thf(2781,plain,
! [SV92: $i] :
( ( ( ! [SY346: $i] :
( ~ ( in @ SY346 @ sK178_SX0 )
| ( SV92 = SY346 )
| ( in @ SV92 @ SY346 ) ) )
= $false )
| ( ( in @ SV92 @ sK178_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2667]) ).
thf(2782,plain,
! [SV93: $i] :
( ( ( ! [SY347: $i] :
( ~ ( in @ SY347 @ sK179_SX0 )
| ( SV93 = SY347 )
| ( in @ SV93 @ SY347 ) ) )
= $false )
| ( ( in @ SV93 @ sK179_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2668]) ).
thf(2783,plain,
! [SV106: $i] :
( ( ( ~ ( in @ SV106 @ sK196_SX0 ) )
= $true )
| ( ( ~ ! [SY360: $i] :
( ~ ( in @ SY360 @ sK196_SX0 )
| ( SV106 = SY360 )
| ( in @ SV106 @ SY360 ) ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2669]) ).
thf(2784,plain,
! [SV107: $i] :
( ( ( ~ ( in @ SV107 @ sK197_SX0 ) )
= $true )
| ( ( ~ ! [SY361: $i] :
( ~ ( in @ SY361 @ sK197_SX0 )
| ( SV107 = SY361 )
| ( in @ SV107 @ SY361 ) ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2670]) ).
thf(2785,plain,
! [SV122: $i] :
( ( ( ~ ( in @ SV122 @ sK212_SX0 )
| ~ ! [SY376: $i] :
( ~ ( in @ SY376 @ sK212_SX0 )
| ( SV122 = SY376 )
| ( in @ SV122 @ SY376 ) ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2671]) ).
thf(2786,plain,
! [SV123: $i] :
( ( ( ~ ( in @ SV123 @ sK213_SX0 )
| ~ ! [SY377: $i] :
( ~ ( in @ SY377 @ sK213_SX0 )
| ( SV123 = SY377 )
| ( in @ SV123 @ SY377 ) ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2672]) ).
thf(2787,plain,
! [SV124: $i] :
( ( ( ~ ( in @ SV124 @ sK214_SX0 )
| ~ ! [SY378: $i] :
( ~ ( in @ SY378 @ sK214_SX0 )
| ( SV124 = SY378 )
| ( in @ SV124 @ SY378 ) ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2673]) ).
thf(2788,plain,
! [SV125: $i] :
( ( ( ~ ( in @ SV125 @ sK215_SX0 )
| ~ ! [SY379: $i] :
( ~ ( in @ SY379 @ sK215_SX0 )
| ( SV125 = SY379 )
| ( in @ SV125 @ SY379 ) ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2674]) ).
thf(2789,plain,
! [SV108: $i] :
( ( ( ~ ( in @ SV108 @ sK198_SX0 ) )
= $true )
| ( ( ~ ! [SY362: $i] :
( ~ ( in @ SY362 @ sK198_SX0 )
| ( SV108 = SY362 )
| ( in @ SV108 @ SY362 ) ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2675]) ).
thf(2790,plain,
! [SV109: $i] :
( ( ( ~ ( in @ SV109 @ sK199_SX0 ) )
= $true )
| ( ( ~ ! [SY363: $i] :
( ~ ( in @ SY363 @ sK199_SX0 )
| ( SV109 = SY363 )
| ( in @ SV109 @ SY363 ) ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2676]) ).
thf(2791,plain,
! [SV66: $i] :
( ( ( ~ ( in @ ( sK272_SY288 @ SV66 ) @ sK144_SX0 ) )
= $false )
| ( ( in @ SV66 @ sK144_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2683]) ).
thf(2792,plain,
! [SV66: $i] :
( ( ( ( SV66
= ( sK272_SY288 @ SV66 ) )
| ( in @ SV66 @ ( sK272_SY288 @ SV66 ) ) )
= $false )
| ( ( in @ SV66 @ sK144_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2683]) ).
thf(2793,plain,
! [SV67: $i] :
( ( ( ~ ( in @ ( sK273_SY289 @ SV67 ) @ sK145_SX0 ) )
= $false )
| ( ( in @ SV67 @ sK145_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2684]) ).
thf(2794,plain,
! [SV67: $i] :
( ( ( ( SV67
= ( sK273_SY289 @ SV67 ) )
| ( in @ SV67 @ ( sK273_SY289 @ SV67 ) ) )
= $false )
| ( ( in @ SV67 @ sK145_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2684]) ).
thf(2795,plain,
! [SV82: $i] :
( ( ( ~ ( in @ ( sK288_SY336 @ SV82 ) @ sK168_SX0 )
| ( SV82
= ( sK288_SY336 @ SV82 ) )
| ( in @ SV82 @ ( sK288_SY336 @ SV82 ) ) )
= $false )
| ( ( in @ SV82 @ sK168_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2685]) ).
thf(2796,plain,
! [SV83: $i] :
( ( ( ~ ( in @ ( sK289_SY337 @ SV83 ) @ sK169_SX0 )
| ( SV83
= ( sK289_SY337 @ SV83 ) )
| ( in @ SV83 @ ( sK289_SY337 @ SV83 ) ) )
= $false )
| ( ( in @ SV83 @ sK169_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2686]) ).
thf(2797,plain,
! [SV84: $i] :
( ( ( ~ ( in @ ( sK290_SY338 @ SV84 ) @ sK170_SX0 )
| ( SV84
= ( sK290_SY338 @ SV84 ) )
| ( in @ SV84 @ ( sK290_SY338 @ SV84 ) ) )
= $false )
| ( ( in @ SV84 @ sK170_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2687]) ).
thf(2798,plain,
! [SV85: $i] :
( ( ( ~ ( in @ ( sK291_SY339 @ SV85 ) @ sK171_SX0 )
| ( SV85
= ( sK291_SY339 @ SV85 ) )
| ( in @ SV85 @ ( sK291_SY339 @ SV85 ) ) )
= $false )
| ( ( in @ SV85 @ sK171_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2688]) ).
thf(2799,plain,
! [SV68: $i] :
( ( ( ~ ( in @ ( sK274_SY290 @ SV68 ) @ sK146_SX0 ) )
= $false )
| ( ( in @ SV68 @ sK146_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2689]) ).
thf(2800,plain,
! [SV68: $i] :
( ( ( ( SV68
= ( sK274_SY290 @ SV68 ) )
| ( in @ SV68 @ ( sK274_SY290 @ SV68 ) ) )
= $false )
| ( ( in @ SV68 @ sK146_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2689]) ).
thf(2801,plain,
! [SV69: $i] :
( ( ( ~ ( in @ ( sK275_SY291 @ SV69 ) @ sK147_SX0 ) )
= $false )
| ( ( in @ SV69 @ sK147_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2690]) ).
thf(2802,plain,
! [SV69: $i] :
( ( ( ( SV69
= ( sK275_SY291 @ SV69 ) )
| ( in @ SV69 @ ( sK275_SY291 @ SV69 ) ) )
= $false )
| ( ( in @ SV69 @ sK147_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2690]) ).
thf(2803,plain,
! [SV54: $i] :
( ( ( in @ ( sK260_SY244 @ SV54 ) @ sK124_SX0 )
= $true )
| ( ( in @ SV54 @ sK124_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2703]) ).
thf(2804,plain,
! [SV54: $i] :
( ( ( SV54
= ( sK260_SY244 @ SV54 ) )
= $false )
| ( ( in @ SV54 @ sK124_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2704]) ).
thf(2805,plain,
! [SV54: $i] :
( ( ( in @ SV54 @ ( sK260_SY244 @ SV54 ) )
= $false )
| ( ( in @ SV54 @ sK124_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2704]) ).
thf(2806,plain,
! [SV55: $i] :
( ( ( in @ ( sK261_SY245 @ SV55 ) @ sK125_SX0 )
= $true )
| ( ( in @ SV55 @ sK125_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2705]) ).
thf(2807,plain,
! [SV55: $i] :
( ( ( SV55
= ( sK261_SY245 @ SV55 ) )
= $false )
| ( ( in @ SV55 @ sK125_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2706]) ).
thf(2808,plain,
! [SV55: $i] :
( ( ( in @ SV55 @ ( sK261_SY245 @ SV55 ) )
= $false )
| ( ( in @ SV55 @ sK125_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ emptyset )
= $true )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK62_SX0 @ sK62_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2706]) ).
thf(2809,plain,
! [SV70: $i] :
( ( ( ~ ( in @ ( sK276_SY292 @ SV70 ) @ sK148_SX0 ) )
= $false )
| ( ( in @ SV70 @ sK148_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2707]) ).
thf(2810,plain,
! [SV70: $i] :
( ( ( ( SV70
= ( sK276_SY292 @ SV70 ) )
| ( in @ SV70 @ ( sK276_SY292 @ SV70 ) ) )
= $false )
| ( ( in @ SV70 @ sK148_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2707]) ).
thf(2811,plain,
! [SV71: $i] :
( ( ( ~ ( in @ ( sK277_SY293 @ SV71 ) @ sK149_SX0 ) )
= $false )
| ( ( in @ SV71 @ sK149_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2708]) ).
thf(2812,plain,
! [SV71: $i] :
( ( ( ( SV71
= ( sK277_SY293 @ SV71 ) )
| ( in @ SV71 @ ( sK277_SY293 @ SV71 ) ) )
= $false )
| ( ( in @ SV71 @ sK149_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2708]) ).
thf(2813,plain,
! [SV72: $i] :
( ( ( ~ ( in @ ( sK278_SY294 @ SV72 ) @ sK150_SX0 ) )
= $false )
| ( ( in @ SV72 @ sK150_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2709]) ).
thf(2814,plain,
! [SV72: $i] :
( ( ( ( SV72
= ( sK278_SY294 @ SV72 ) )
| ( in @ SV72 @ ( sK278_SY294 @ SV72 ) ) )
= $false )
| ( ( in @ SV72 @ sK150_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2709]) ).
thf(2815,plain,
! [SV73: $i] :
( ( ( ~ ( in @ ( sK279_SY295 @ SV73 ) @ sK151_SX0 ) )
= $false )
| ( ( in @ SV73 @ sK151_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2710]) ).
thf(2816,plain,
! [SV73: $i] :
( ( ( ( SV73
= ( sK279_SY295 @ SV73 ) )
| ( in @ SV73 @ ( sK279_SY295 @ SV73 ) ) )
= $false )
| ( ( in @ SV73 @ sK151_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2710]) ).
thf(2817,plain,
! [SV56: $i] :
( ( ( in @ ( sK262_SY246 @ SV56 ) @ sK126_SX0 )
= $true )
| ( ( in @ SV56 @ sK126_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2711]) ).
thf(2818,plain,
! [SV56: $i] :
( ( ( SV56
= ( sK262_SY246 @ SV56 ) )
= $false )
| ( ( in @ SV56 @ sK126_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2712]) ).
thf(2819,plain,
! [SV56: $i] :
( ( ( in @ SV56 @ ( sK262_SY246 @ SV56 ) )
= $false )
| ( ( in @ SV56 @ sK126_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2712]) ).
thf(2820,plain,
! [SV57: $i] :
( ( ( in @ ( sK263_SY247 @ SV57 ) @ sK127_SX0 )
= $true )
| ( ( in @ SV57 @ sK127_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2713]) ).
thf(2821,plain,
! [SV57: $i] :
( ( ( SV57
= ( sK263_SY247 @ SV57 ) )
= $false )
| ( ( in @ SV57 @ sK127_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2714]) ).
thf(2822,plain,
! [SV57: $i] :
( ( ( in @ SV57 @ ( sK263_SY247 @ SV57 ) )
= $false )
| ( ( in @ SV57 @ sK127_SX0 )
= $false )
| ( ( in @ sK25_SY12 @ sK16_SX0 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK63_SX0 @ sK63_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2714]) ).
thf(2823,plain,
! [SV86: $i] :
( ( ( ~ ( in @ ( sK292_SY340 @ SV86 ) @ sK172_SX0 )
| ( SV86
= ( sK292_SY340 @ SV86 ) )
| ( in @ SV86 @ ( sK292_SY340 @ SV86 ) ) )
= $false )
| ( ( in @ SV86 @ sK172_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2715]) ).
thf(2824,plain,
! [SV87: $i] :
( ( ( ~ ( in @ ( sK293_SY341 @ SV87 ) @ sK173_SX0 )
| ( SV87
= ( sK293_SY341 @ SV87 ) )
| ( in @ SV87 @ ( sK293_SY341 @ SV87 ) ) )
= $false )
| ( ( in @ SV87 @ sK173_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2716]) ).
thf(2825,plain,
! [SV94: $i] :
( ( ( in @ SV94 @ sK182_SX0 )
= $false )
| ( ( ~ ! [SY348: $i] :
( ~ ( in @ SY348 @ sK182_SX0 )
| ( SV94 = SY348 )
| ( in @ SV94 @ SY348 ) ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2717]) ).
thf(2826,plain,
! [SV95: $i] :
( ( ( in @ SV95 @ sK183_SX0 )
= $false )
| ( ( ~ ! [SY349: $i] :
( ~ ( in @ SY349 @ sK183_SX0 )
| ( SV95 = SY349 )
| ( in @ SV95 @ SY349 ) ) )
= $true )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2718]) ).
thf(2827,plain,
! [SV110: $i] :
( ( ( ~ ( in @ SV110 @ sK200_SX0 ) )
= $true )
| ( ( ~ ! [SY364: $i] :
( ~ ( in @ SY364 @ sK200_SX0 )
| ( SV110 = SY364 )
| ( in @ SV110 @ SY364 ) ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2719]) ).
thf(2828,plain,
! [SV111: $i] :
( ( ( ~ ( in @ SV111 @ sK201_SX0 ) )
= $true )
| ( ( ~ ! [SY365: $i] :
( ~ ( in @ SY365 @ sK201_SX0 )
| ( SV111 = SY365 )
| ( in @ SV111 @ SY365 ) ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2720]) ).
thf(2829,plain,
! [SV112: $i] :
( ( ( ~ ( in @ SV112 @ sK202_SX0 ) )
= $true )
| ( ( ~ ! [SY366: $i] :
( ~ ( in @ SY366 @ sK202_SX0 )
| ( SV112 = SY366 )
| ( in @ SV112 @ SY366 ) ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2721]) ).
thf(2830,plain,
! [SV113: $i] :
( ( ( ~ ( in @ SV113 @ sK203_SX0 ) )
= $true )
| ( ( ~ ! [SY367: $i] :
( ~ ( in @ SY367 @ sK203_SX0 )
| ( SV113 = SY367 )
| ( in @ SV113 @ SY367 ) ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2722]) ).
thf(2831,plain,
! [SV96: $i] :
( ( ( in @ SV96 @ sK184_SX0 )
= $false )
| ( ( ~ ! [SY350: $i] :
( ~ ( in @ SY350 @ sK184_SX0 )
| ( SV96 = SY350 )
| ( in @ SV96 @ SY350 ) ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2723]) ).
thf(2832,plain,
! [SV97: $i] :
( ( ( in @ SV97 @ sK185_SX0 )
= $false )
| ( ( ~ ! [SY351: $i] :
( ~ ( in @ SY351 @ sK185_SX0 )
| ( SV97 = SY351 )
| ( in @ SV97 @ SY351 ) ) )
= $true )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2724]) ).
thf(2833,plain,
! [SV88: $i] :
( ( ( ~ ( in @ ( sK294_SY342 @ SV88 ) @ sK174_SX0 )
| ( SV88
= ( sK294_SY342 @ SV88 ) )
| ( in @ SV88 @ ( sK294_SY342 @ SV88 ) ) )
= $false )
| ( ( in @ SV88 @ sK174_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2725]) ).
thf(2834,plain,
! [SV89: $i] :
( ( ( ~ ( in @ ( sK295_SY343 @ SV89 ) @ sK175_SX0 )
| ( SV89
= ( sK295_SY343 @ SV89 ) )
| ( in @ SV89 @ ( sK295_SY343 @ SV89 ) ) )
= $false )
| ( ( in @ SV89 @ sK175_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2726]) ).
thf(2835,plain,
! [SV98: $i] :
( ( ( in @ SV98 @ sK186_SX0 )
= $false )
| ( ( ~ ! [SY352: $i] :
( ~ ( in @ SY352 @ sK186_SX0 )
| ( SV98 = SY352 )
| ( in @ SV98 @ SY352 ) ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2727]) ).
thf(2836,plain,
! [SV99: $i] :
( ( ( in @ SV99 @ sK187_SX0 )
= $false )
| ( ( ~ ! [SY353: $i] :
( ~ ( in @ SY353 @ sK187_SX0 )
| ( SV99 = SY353 )
| ( in @ SV99 @ SY353 ) ) )
= $true )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2728]) ).
thf(2837,plain,
! [SV114: $i] :
( ( ( ~ ( in @ SV114 @ sK204_SX0 ) )
= $true )
| ( ( ~ ! [SY368: $i] :
( ~ ( in @ SY368 @ sK204_SX0 )
| ( SV114 = SY368 )
| ( in @ SV114 @ SY368 ) ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2729]) ).
thf(2838,plain,
! [SV115: $i] :
( ( ( ~ ( in @ SV115 @ sK205_SX0 ) )
= $true )
| ( ( ~ ! [SY369: $i] :
( ~ ( in @ SY369 @ sK205_SX0 )
| ( SV115 = SY369 )
| ( in @ SV115 @ SY369 ) ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2730]) ).
thf(2839,plain,
! [SV116: $i] :
( ( ( ~ ( in @ SV116 @ sK206_SX0 ) )
= $true )
| ( ( ~ ! [SY370: $i] :
( ~ ( in @ SY370 @ sK206_SX0 )
| ( SV116 = SY370 )
| ( in @ SV116 @ SY370 ) ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2731]) ).
thf(2840,plain,
! [SV117: $i] :
( ( ( ~ ( in @ SV117 @ sK207_SX0 ) )
= $true )
| ( ( ~ ! [SY371: $i] :
( ~ ( in @ SY371 @ sK207_SX0 )
| ( SV117 = SY371 )
| ( in @ SV117 @ SY371 ) ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2732]) ).
thf(2841,plain,
! [SV100: $i] :
( ( ( in @ SV100 @ sK188_SX0 )
= $false )
| ( ( ~ ! [SY354: $i] :
( ~ ( in @ SY354 @ sK188_SX0 )
| ( SV100 = SY354 )
| ( in @ SV100 @ SY354 ) ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2733]) ).
thf(2842,plain,
! [SV101: $i] :
( ( ( in @ SV101 @ sK189_SX0 )
= $false )
| ( ( ~ ! [SY355: $i] :
( ~ ( in @ SY355 @ sK189_SX0 )
| ( SV101 = SY355 )
| ( in @ SV101 @ SY355 ) ) )
= $true )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2734]) ).
thf(2843,plain,
! [SV58: $i] :
( ( ( in @ ( sK264_SY264 @ SV58 ) @ sK132_SX0 )
= $true )
| ( ( in @ SV58 @ sK132_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2735]) ).
thf(2844,plain,
! [SV58: $i] :
( ( ( SV58
= ( sK264_SY264 @ SV58 ) )
= $false )
| ( ( in @ SV58 @ sK132_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2736]) ).
thf(2845,plain,
! [SV58: $i] :
( ( ( in @ SV58 @ ( sK264_SY264 @ SV58 ) )
= $false )
| ( ( in @ SV58 @ sK132_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2736]) ).
thf(2846,plain,
! [SV59: $i] :
( ( ( in @ ( sK265_SY265 @ SV59 ) @ sK133_SX0 )
= $true )
| ( ( in @ SV59 @ sK133_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2737]) ).
thf(2847,plain,
! [SV59: $i] :
( ( ( SV59
= ( sK265_SY265 @ SV59 ) )
= $false )
| ( ( in @ SV59 @ sK133_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2738]) ).
thf(2848,plain,
! [SV59: $i] :
( ( ( in @ SV59 @ ( sK265_SY265 @ SV59 ) )
= $false )
| ( ( in @ SV59 @ sK133_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK66_SX0 @ sK66_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2738]) ).
thf(2849,plain,
! [SV74: $i] :
( ( ( ~ ( in @ ( sK280_SY312 @ SV74 ) @ sK156_SX0 ) )
= $false )
| ( ( in @ SV74 @ sK156_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2739]) ).
thf(2850,plain,
! [SV74: $i] :
( ( ( ( SV74
= ( sK280_SY312 @ SV74 ) )
| ( in @ SV74 @ ( sK280_SY312 @ SV74 ) ) )
= $false )
| ( ( in @ SV74 @ sK156_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2739]) ).
thf(2851,plain,
! [SV75: $i] :
( ( ( ~ ( in @ ( sK281_SY313 @ SV75 ) @ sK157_SX0 ) )
= $false )
| ( ( in @ SV75 @ sK157_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2740]) ).
thf(2852,plain,
! [SV75: $i] :
( ( ( ( SV75
= ( sK281_SY313 @ SV75 ) )
| ( in @ SV75 @ ( sK281_SY313 @ SV75 ) ) )
= $false )
| ( ( in @ SV75 @ sK157_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2740]) ).
thf(2853,plain,
! [SV76: $i] :
( ( ( ~ ( in @ ( sK282_SY314 @ SV76 ) @ sK158_SX0 ) )
= $false )
| ( ( in @ SV76 @ sK158_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2741]) ).
thf(2854,plain,
! [SV76: $i] :
( ( ( ( SV76
= ( sK282_SY314 @ SV76 ) )
| ( in @ SV76 @ ( sK282_SY314 @ SV76 ) ) )
= $false )
| ( ( in @ SV76 @ sK158_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2741]) ).
thf(2855,plain,
! [SV77: $i] :
( ( ( ~ ( in @ ( sK283_SY315 @ SV77 ) @ sK159_SX0 ) )
= $false )
| ( ( in @ SV77 @ sK159_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2742]) ).
thf(2856,plain,
! [SV77: $i] :
( ( ( ( SV77
= ( sK283_SY315 @ SV77 ) )
| ( in @ SV77 @ ( sK283_SY315 @ SV77 ) ) )
= $false )
| ( ( in @ SV77 @ sK159_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2742]) ).
thf(2857,plain,
! [SV60: $i] :
( ( ( in @ ( sK266_SY266 @ SV60 ) @ sK134_SX0 )
= $true )
| ( ( in @ SV60 @ sK134_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2743]) ).
thf(2858,plain,
! [SV60: $i] :
( ( ( SV60
= ( sK266_SY266 @ SV60 ) )
= $false )
| ( ( in @ SV60 @ sK134_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2744]) ).
thf(2859,plain,
! [SV60: $i] :
( ( ( in @ SV60 @ ( sK266_SY266 @ SV60 ) )
= $false )
| ( ( in @ SV60 @ sK134_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2744]) ).
thf(2860,plain,
! [SV61: $i] :
( ( ( in @ ( sK267_SY267 @ SV61 ) @ sK135_SX0 )
= $true )
| ( ( in @ SV61 @ sK135_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2745]) ).
thf(2861,plain,
! [SV61: $i] :
( ( ( SV61
= ( sK267_SY267 @ SV61 ) )
= $false )
| ( ( in @ SV61 @ sK135_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2746]) ).
thf(2862,plain,
! [SV61: $i] :
( ( ( in @ SV61 @ ( sK267_SY267 @ SV61 ) )
= $false )
| ( ( in @ SV61 @ sK135_SX0 )
= $false )
| ( ( in @ sK26_SY13 @ sK17_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK67_SX0 @ sK67_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2746]) ).
thf(2863,plain,
! [SV62: $i] :
( ( ( in @ ( sK268_SY268 @ SV62 ) @ sK136_SX0 )
= $true )
| ( ( in @ SV62 @ sK136_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2759]) ).
thf(2864,plain,
! [SV62: $i] :
( ( ( SV62
= ( sK268_SY268 @ SV62 ) )
= $false )
| ( ( in @ SV62 @ sK136_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2760]) ).
thf(2865,plain,
! [SV62: $i] :
( ( ( in @ SV62 @ ( sK268_SY268 @ SV62 ) )
= $false )
| ( ( in @ SV62 @ sK136_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2760]) ).
thf(2866,plain,
! [SV63: $i] :
( ( ( in @ ( sK269_SY269 @ SV63 ) @ sK137_SX0 )
= $true )
| ( ( in @ SV63 @ sK137_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2761]) ).
thf(2867,plain,
! [SV63: $i] :
( ( ( SV63
= ( sK269_SY269 @ SV63 ) )
= $false )
| ( ( in @ SV63 @ sK137_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2762]) ).
thf(2868,plain,
! [SV63: $i] :
( ( ( in @ SV63 @ ( sK269_SY269 @ SV63 ) )
= $false )
| ( ( in @ SV63 @ sK137_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ emptyset )
= $true )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK74_SX0 @ sK74_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2762]) ).
thf(2869,plain,
! [SV78: $i] :
( ( ( ~ ( in @ ( sK284_SY316 @ SV78 ) @ sK160_SX0 ) )
= $false )
| ( ( in @ SV78 @ sK160_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2763]) ).
thf(2870,plain,
! [SV78: $i] :
( ( ( ( SV78
= ( sK284_SY316 @ SV78 ) )
| ( in @ SV78 @ ( sK284_SY316 @ SV78 ) ) )
= $false )
| ( ( in @ SV78 @ sK160_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2763]) ).
thf(2871,plain,
! [SV79: $i] :
( ( ( ~ ( in @ ( sK285_SY317 @ SV79 ) @ sK161_SX0 ) )
= $false )
| ( ( in @ SV79 @ sK161_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2764]) ).
thf(2872,plain,
! [SV79: $i] :
( ( ( ( SV79
= ( sK285_SY317 @ SV79 ) )
| ( in @ SV79 @ ( sK285_SY317 @ SV79 ) ) )
= $false )
| ( ( in @ SV79 @ sK161_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2764]) ).
thf(2873,plain,
! [SV80: $i] :
( ( ( ~ ( in @ ( sK286_SY318 @ SV80 ) @ sK162_SX0 ) )
= $false )
| ( ( in @ SV80 @ sK162_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2765]) ).
thf(2874,plain,
! [SV80: $i] :
( ( ( ( SV80
= ( sK286_SY318 @ SV80 ) )
| ( in @ SV80 @ ( sK286_SY318 @ SV80 ) ) )
= $false )
| ( ( in @ SV80 @ sK162_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2765]) ).
thf(2875,plain,
! [SV81: $i] :
( ( ( ~ ( in @ ( sK287_SY319 @ SV81 ) @ sK163_SX0 ) )
= $false )
| ( ( in @ SV81 @ sK163_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2766]) ).
thf(2876,plain,
! [SV81: $i] :
( ( ( ( SV81
= ( sK287_SY319 @ SV81 ) )
| ( in @ SV81 @ ( sK287_SY319 @ SV81 ) ) )
= $false )
| ( ( in @ SV81 @ sK163_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2766]) ).
thf(2877,plain,
! [SV64: $i] :
( ( ( in @ ( sK270_SY270 @ SV64 ) @ sK138_SX0 )
= $true )
| ( ( in @ SV64 @ sK138_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2767]) ).
thf(2878,plain,
! [SV64: $i] :
( ( ( SV64
= ( sK270_SY270 @ SV64 ) )
= $false )
| ( ( in @ SV64 @ sK138_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2768]) ).
thf(2879,plain,
! [SV64: $i] :
( ( ( in @ SV64 @ ( sK270_SY270 @ SV64 ) )
= $false )
| ( ( in @ SV64 @ sK138_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2768]) ).
thf(2880,plain,
! [SV65: $i] :
( ( ( in @ ( sK271_SY271 @ SV65 ) @ sK139_SX0 )
= $true )
| ( ( in @ SV65 @ sK139_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2769]) ).
thf(2881,plain,
! [SV65: $i] :
( ( ( SV65
= ( sK271_SY271 @ SV65 ) )
= $false )
| ( ( in @ SV65 @ sK139_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2770]) ).
thf(2882,plain,
! [SV65: $i] :
( ( ( in @ SV65 @ ( sK271_SY271 @ SV65 ) )
= $false )
| ( ( in @ SV65 @ sK139_SX0 )
= $false )
| ( ( in @ sK30_SY14 @ sK20_SX0 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK75_SX0 @ sK75_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2770]) ).
thf(2883,plain,
! [SV90: $i] :
( ( ( ~ ( in @ ( sK296_SY344 @ SV90 ) @ sK176_SX0 )
| ( SV90
= ( sK296_SY344 @ SV90 ) )
| ( in @ SV90 @ ( sK296_SY344 @ SV90 ) ) )
= $false )
| ( ( in @ SV90 @ sK176_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2771]) ).
thf(2884,plain,
! [SV91: $i] :
( ( ( ~ ( in @ ( sK297_SY345 @ SV91 ) @ sK177_SX0 )
| ( SV91
= ( sK297_SY345 @ SV91 ) )
| ( in @ SV91 @ ( sK297_SY345 @ SV91 ) ) )
= $false )
| ( ( in @ SV91 @ sK177_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2772]) ).
thf(2885,plain,
! [SV102: $i] :
( ( ( in @ SV102 @ sK192_SX0 )
= $false )
| ( ( ~ ! [SY356: $i] :
( ~ ( in @ SY356 @ sK192_SX0 )
| ( SV102 = SY356 )
| ( in @ SV102 @ SY356 ) ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2773]) ).
thf(2886,plain,
! [SV103: $i] :
( ( ( in @ SV103 @ sK193_SX0 )
= $false )
| ( ( ~ ! [SY357: $i] :
( ~ ( in @ SY357 @ sK193_SX0 )
| ( SV103 = SY357 )
| ( in @ SV103 @ SY357 ) ) )
= $true )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2774]) ).
thf(2887,plain,
! [SV118: $i] :
( ( ( ~ ( in @ SV118 @ sK208_SX0 ) )
= $true )
| ( ( ~ ! [SY372: $i] :
( ~ ( in @ SY372 @ sK208_SX0 )
| ( SV118 = SY372 )
| ( in @ SV118 @ SY372 ) ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2775]) ).
thf(2888,plain,
! [SV119: $i] :
( ( ( ~ ( in @ SV119 @ sK209_SX0 ) )
= $true )
| ( ( ~ ! [SY373: $i] :
( ~ ( in @ SY373 @ sK209_SX0 )
| ( SV119 = SY373 )
| ( in @ SV119 @ SY373 ) ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2776]) ).
thf(2889,plain,
! [SV120: $i] :
( ( ( ~ ( in @ SV120 @ sK210_SX0 ) )
= $true )
| ( ( ~ ! [SY374: $i] :
( ~ ( in @ SY374 @ sK210_SX0 )
| ( SV120 = SY374 )
| ( in @ SV120 @ SY374 ) ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2777]) ).
thf(2890,plain,
! [SV121: $i] :
( ( ( ~ ( in @ SV121 @ sK211_SX0 ) )
= $true )
| ( ( ~ ! [SY375: $i] :
( ~ ( in @ SY375 @ sK211_SX0 )
| ( SV121 = SY375 )
| ( in @ SV121 @ SY375 ) ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2778]) ).
thf(2891,plain,
! [SV104: $i] :
( ( ( in @ SV104 @ sK194_SX0 )
= $false )
| ( ( ~ ! [SY358: $i] :
( ~ ( in @ SY358 @ sK194_SX0 )
| ( SV104 = SY358 )
| ( in @ SV104 @ SY358 ) ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2779]) ).
thf(2892,plain,
! [SV105: $i] :
( ( ( in @ SV105 @ sK195_SX0 )
= $false )
| ( ( ~ ! [SY359: $i] :
( ~ ( in @ SY359 @ sK195_SX0 )
| ( SV105 = SY359 )
| ( in @ SV105 @ SY359 ) ) )
= $true )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2780]) ).
thf(2893,plain,
! [SV92: $i] :
( ( ( ~ ( in @ ( sK298_SY346 @ SV92 ) @ sK178_SX0 )
| ( SV92
= ( sK298_SY346 @ SV92 ) )
| ( in @ SV92 @ ( sK298_SY346 @ SV92 ) ) )
= $false )
| ( ( in @ SV92 @ sK178_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2781]) ).
thf(2894,plain,
! [SV93: $i] :
( ( ( ~ ( in @ ( sK299_SY347 @ SV93 ) @ sK179_SX0 )
| ( SV93
= ( sK299_SY347 @ SV93 ) )
| ( in @ SV93 @ ( sK299_SY347 @ SV93 ) ) )
= $false )
| ( ( in @ SV93 @ sK179_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2782]) ).
thf(2895,plain,
! [SV106: $i] :
( ( ( in @ SV106 @ sK196_SX0 )
= $false )
| ( ( ~ ! [SY360: $i] :
( ~ ( in @ SY360 @ sK196_SX0 )
| ( SV106 = SY360 )
| ( in @ SV106 @ SY360 ) ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2783]) ).
thf(2896,plain,
! [SV107: $i] :
( ( ( in @ SV107 @ sK197_SX0 )
= $false )
| ( ( ~ ! [SY361: $i] :
( ~ ( in @ SY361 @ sK197_SX0 )
| ( SV107 = SY361 )
| ( in @ SV107 @ SY361 ) ) )
= $true )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2784]) ).
thf(2897,plain,
! [SV122: $i] :
( ( ( ~ ( in @ SV122 @ sK212_SX0 ) )
= $true )
| ( ( ~ ! [SY376: $i] :
( ~ ( in @ SY376 @ sK212_SX0 )
| ( SV122 = SY376 )
| ( in @ SV122 @ SY376 ) ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2785]) ).
thf(2898,plain,
! [SV123: $i] :
( ( ( ~ ( in @ SV123 @ sK213_SX0 ) )
= $true )
| ( ( ~ ! [SY377: $i] :
( ~ ( in @ SY377 @ sK213_SX0 )
| ( SV123 = SY377 )
| ( in @ SV123 @ SY377 ) ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2786]) ).
thf(2899,plain,
! [SV124: $i] :
( ( ( ~ ( in @ SV124 @ sK214_SX0 ) )
= $true )
| ( ( ~ ! [SY378: $i] :
( ~ ( in @ SY378 @ sK214_SX0 )
| ( SV124 = SY378 )
| ( in @ SV124 @ SY378 ) ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2787]) ).
thf(2900,plain,
! [SV125: $i] :
( ( ( ~ ( in @ SV125 @ sK215_SX0 ) )
= $true )
| ( ( ~ ! [SY379: $i] :
( ~ ( in @ SY379 @ sK215_SX0 )
| ( SV125 = SY379 )
| ( in @ SV125 @ SY379 ) ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2788]) ).
thf(2901,plain,
! [SV108: $i] :
( ( ( in @ SV108 @ sK198_SX0 )
= $false )
| ( ( ~ ! [SY362: $i] :
( ~ ( in @ SY362 @ sK198_SX0 )
| ( SV108 = SY362 )
| ( in @ SV108 @ SY362 ) ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2789]) ).
thf(2902,plain,
! [SV109: $i] :
( ( ( in @ SV109 @ sK199_SX0 )
= $false )
| ( ( ~ ! [SY363: $i] :
( ~ ( in @ SY363 @ sK199_SX0 )
| ( SV109 = SY363 )
| ( in @ SV109 @ SY363 ) ) )
= $true )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2790]) ).
thf(2903,plain,
! [SV66: $i] :
( ( ( in @ ( sK272_SY288 @ SV66 ) @ sK144_SX0 )
= $true )
| ( ( in @ SV66 @ sK144_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2791]) ).
thf(2904,plain,
! [SV66: $i] :
( ( ( SV66
= ( sK272_SY288 @ SV66 ) )
= $false )
| ( ( in @ SV66 @ sK144_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2792]) ).
thf(2905,plain,
! [SV66: $i] :
( ( ( in @ SV66 @ ( sK272_SY288 @ SV66 ) )
= $false )
| ( ( in @ SV66 @ sK144_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2792]) ).
thf(2906,plain,
! [SV67: $i] :
( ( ( in @ ( sK273_SY289 @ SV67 ) @ sK145_SX0 )
= $true )
| ( ( in @ SV67 @ sK145_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2793]) ).
thf(2907,plain,
! [SV67: $i] :
( ( ( SV67
= ( sK273_SY289 @ SV67 ) )
= $false )
| ( ( in @ SV67 @ sK145_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2794]) ).
thf(2908,plain,
! [SV67: $i] :
( ( ( in @ SV67 @ ( sK273_SY289 @ SV67 ) )
= $false )
| ( ( in @ SV67 @ sK145_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK78_SX0 @ sK78_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2794]) ).
thf(2909,plain,
! [SV82: $i] :
( ( ( ~ ( in @ ( sK288_SY336 @ SV82 ) @ sK168_SX0 ) )
= $false )
| ( ( in @ SV82 @ sK168_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2795]) ).
thf(2910,plain,
! [SV82: $i] :
( ( ( ( SV82
= ( sK288_SY336 @ SV82 ) )
| ( in @ SV82 @ ( sK288_SY336 @ SV82 ) ) )
= $false )
| ( ( in @ SV82 @ sK168_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2795]) ).
thf(2911,plain,
! [SV83: $i] :
( ( ( ~ ( in @ ( sK289_SY337 @ SV83 ) @ sK169_SX0 ) )
= $false )
| ( ( in @ SV83 @ sK169_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2796]) ).
thf(2912,plain,
! [SV83: $i] :
( ( ( ( SV83
= ( sK289_SY337 @ SV83 ) )
| ( in @ SV83 @ ( sK289_SY337 @ SV83 ) ) )
= $false )
| ( ( in @ SV83 @ sK169_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2796]) ).
thf(2913,plain,
! [SV84: $i] :
( ( ( ~ ( in @ ( sK290_SY338 @ SV84 ) @ sK170_SX0 ) )
= $false )
| ( ( in @ SV84 @ sK170_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2797]) ).
thf(2914,plain,
! [SV84: $i] :
( ( ( ( SV84
= ( sK290_SY338 @ SV84 ) )
| ( in @ SV84 @ ( sK290_SY338 @ SV84 ) ) )
= $false )
| ( ( in @ SV84 @ sK170_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2797]) ).
thf(2915,plain,
! [SV85: $i] :
( ( ( ~ ( in @ ( sK291_SY339 @ SV85 ) @ sK171_SX0 ) )
= $false )
| ( ( in @ SV85 @ sK171_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2798]) ).
thf(2916,plain,
! [SV85: $i] :
( ( ( ( SV85
= ( sK291_SY339 @ SV85 ) )
| ( in @ SV85 @ ( sK291_SY339 @ SV85 ) ) )
= $false )
| ( ( in @ SV85 @ sK171_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2798]) ).
thf(2917,plain,
! [SV68: $i] :
( ( ( in @ ( sK274_SY290 @ SV68 ) @ sK146_SX0 )
= $true )
| ( ( in @ SV68 @ sK146_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2799]) ).
thf(2918,plain,
! [SV68: $i] :
( ( ( SV68
= ( sK274_SY290 @ SV68 ) )
= $false )
| ( ( in @ SV68 @ sK146_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2800]) ).
thf(2919,plain,
! [SV68: $i] :
( ( ( in @ SV68 @ ( sK274_SY290 @ SV68 ) )
= $false )
| ( ( in @ SV68 @ sK146_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2800]) ).
thf(2920,plain,
! [SV69: $i] :
( ( ( in @ ( sK275_SY291 @ SV69 ) @ sK147_SX0 )
= $true )
| ( ( in @ SV69 @ sK147_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2801]) ).
thf(2921,plain,
! [SV69: $i] :
( ( ( SV69
= ( sK275_SY291 @ SV69 ) )
= $false )
| ( ( in @ SV69 @ sK147_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2802]) ).
thf(2922,plain,
! [SV69: $i] :
( ( ( in @ SV69 @ ( sK275_SY291 @ SV69 ) )
= $false )
| ( ( in @ SV69 @ sK147_SX0 )
= $false )
| ( ( in @ sK31_SY15 @ sK21_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK79_SX0 @ sK79_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2802]) ).
thf(2923,plain,
! [SV70: $i] :
( ( ( in @ ( sK276_SY292 @ SV70 ) @ sK148_SX0 )
= $true )
| ( ( in @ SV70 @ sK148_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2809]) ).
thf(2924,plain,
! [SV70: $i] :
( ( ( SV70
= ( sK276_SY292 @ SV70 ) )
= $false )
| ( ( in @ SV70 @ sK148_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2810]) ).
thf(2925,plain,
! [SV70: $i] :
( ( ( in @ SV70 @ ( sK276_SY292 @ SV70 ) )
= $false )
| ( ( in @ SV70 @ sK148_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2810]) ).
thf(2926,plain,
! [SV71: $i] :
( ( ( in @ ( sK277_SY293 @ SV71 ) @ sK149_SX0 )
= $true )
| ( ( in @ SV71 @ sK149_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2811]) ).
thf(2927,plain,
! [SV71: $i] :
( ( ( SV71
= ( sK277_SY293 @ SV71 ) )
= $false )
| ( ( in @ SV71 @ sK149_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2812]) ).
thf(2928,plain,
! [SV71: $i] :
( ( ( in @ SV71 @ ( sK277_SY293 @ SV71 ) )
= $false )
| ( ( in @ SV71 @ sK149_SX0 )
= $false )
| ( ( sK16_SX0 = sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK84_SX0 @ sK84_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2812]) ).
thf(2929,plain,
! [SV72: $i] :
( ( ( in @ ( sK278_SY294 @ SV72 ) @ sK150_SX0 )
= $true )
| ( ( in @ SV72 @ sK150_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2813]) ).
thf(2930,plain,
! [SV72: $i] :
( ( ( SV72
= ( sK278_SY294 @ SV72 ) )
= $false )
| ( ( in @ SV72 @ sK150_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2814]) ).
thf(2931,plain,
! [SV72: $i] :
( ( ( in @ SV72 @ ( sK278_SY294 @ SV72 ) )
= $false )
| ( ( in @ SV72 @ sK150_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2814]) ).
thf(2932,plain,
! [SV73: $i] :
( ( ( in @ ( sK279_SY295 @ SV73 ) @ sK151_SX0 )
= $true )
| ( ( in @ SV73 @ sK151_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2815]) ).
thf(2933,plain,
! [SV73: $i] :
( ( ( SV73
= ( sK279_SY295 @ SV73 ) )
= $false )
| ( ( in @ SV73 @ sK151_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2816]) ).
thf(2934,plain,
! [SV73: $i] :
( ( ( in @ SV73 @ ( sK279_SY295 @ SV73 ) )
= $false )
| ( ( in @ SV73 @ sK151_SX0 )
= $false )
| ( ( in @ sK16_SX0 @ sK25_SY12 )
= $false )
| ( ( in @ sK7_SY6 @ emptyset )
= $true )
| ( ( in @ sK85_SX0 @ sK85_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2816]) ).
thf(2935,plain,
! [SV86: $i] :
( ( ( ~ ( in @ ( sK292_SY340 @ SV86 ) @ sK172_SX0 ) )
= $false )
| ( ( in @ SV86 @ sK172_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2823]) ).
thf(2936,plain,
! [SV86: $i] :
( ( ( ( SV86
= ( sK292_SY340 @ SV86 ) )
| ( in @ SV86 @ ( sK292_SY340 @ SV86 ) ) )
= $false )
| ( ( in @ SV86 @ sK172_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2823]) ).
thf(2937,plain,
! [SV87: $i] :
( ( ( ~ ( in @ ( sK293_SY341 @ SV87 ) @ sK173_SX0 ) )
= $false )
| ( ( in @ SV87 @ sK173_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2824]) ).
thf(2938,plain,
! [SV87: $i] :
( ( ( ( SV87
= ( sK293_SY341 @ SV87 ) )
| ( in @ SV87 @ ( sK293_SY341 @ SV87 ) ) )
= $false )
| ( ( in @ SV87 @ sK173_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2824]) ).
thf(2939,plain,
! [SV94: $i] :
( ( ( ! [SY348: $i] :
( ~ ( in @ SY348 @ sK182_SX0 )
| ( SV94 = SY348 )
| ( in @ SV94 @ SY348 ) ) )
= $false )
| ( ( in @ SV94 @ sK182_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2825]) ).
thf(2940,plain,
! [SV95: $i] :
( ( ( ! [SY349: $i] :
( ~ ( in @ SY349 @ sK183_SX0 )
| ( SV95 = SY349 )
| ( in @ SV95 @ SY349 ) ) )
= $false )
| ( ( in @ SV95 @ sK183_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2826]) ).
thf(2941,plain,
! [SV110: $i] :
( ( ( in @ SV110 @ sK200_SX0 )
= $false )
| ( ( ~ ! [SY364: $i] :
( ~ ( in @ SY364 @ sK200_SX0 )
| ( SV110 = SY364 )
| ( in @ SV110 @ SY364 ) ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2827]) ).
thf(2942,plain,
! [SV111: $i] :
( ( ( in @ SV111 @ sK201_SX0 )
= $false )
| ( ( ~ ! [SY365: $i] :
( ~ ( in @ SY365 @ sK201_SX0 )
| ( SV111 = SY365 )
| ( in @ SV111 @ SY365 ) ) )
= $true )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2828]) ).
thf(2943,plain,
! [SV112: $i] :
( ( ( in @ SV112 @ sK202_SX0 )
= $false )
| ( ( ~ ! [SY366: $i] :
( ~ ( in @ SY366 @ sK202_SX0 )
| ( SV112 = SY366 )
| ( in @ SV112 @ SY366 ) ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2829]) ).
thf(2944,plain,
! [SV113: $i] :
( ( ( in @ SV113 @ sK203_SX0 )
= $false )
| ( ( ~ ! [SY367: $i] :
( ~ ( in @ SY367 @ sK203_SX0 )
| ( SV113 = SY367 )
| ( in @ SV113 @ SY367 ) ) )
= $true )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2830]) ).
thf(2945,plain,
! [SV96: $i] :
( ( ( ! [SY350: $i] :
( ~ ( in @ SY350 @ sK184_SX0 )
| ( SV96 = SY350 )
| ( in @ SV96 @ SY350 ) ) )
= $false )
| ( ( in @ SV96 @ sK184_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2831]) ).
thf(2946,plain,
! [SV97: $i] :
( ( ( ! [SY351: $i] :
( ~ ( in @ SY351 @ sK185_SX0 )
| ( SV97 = SY351 )
| ( in @ SV97 @ SY351 ) ) )
= $false )
| ( ( in @ SV97 @ sK185_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2832]) ).
thf(2947,plain,
! [SV88: $i] :
( ( ( ~ ( in @ ( sK294_SY342 @ SV88 ) @ sK174_SX0 ) )
= $false )
| ( ( in @ SV88 @ sK174_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2833]) ).
thf(2948,plain,
! [SV88: $i] :
( ( ( ( SV88
= ( sK294_SY342 @ SV88 ) )
| ( in @ SV88 @ ( sK294_SY342 @ SV88 ) ) )
= $false )
| ( ( in @ SV88 @ sK174_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2833]) ).
thf(2949,plain,
! [SV89: $i] :
( ( ( ~ ( in @ ( sK295_SY343 @ SV89 ) @ sK175_SX0 ) )
= $false )
| ( ( in @ SV89 @ sK175_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2834]) ).
thf(2950,plain,
! [SV89: $i] :
( ( ( ( SV89
= ( sK295_SY343 @ SV89 ) )
| ( in @ SV89 @ ( sK295_SY343 @ SV89 ) ) )
= $false )
| ( ( in @ SV89 @ sK175_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2834]) ).
thf(2951,plain,
! [SV98: $i] :
( ( ( ! [SY352: $i] :
( ~ ( in @ SY352 @ sK186_SX0 )
| ( SV98 = SY352 )
| ( in @ SV98 @ SY352 ) ) )
= $false )
| ( ( in @ SV98 @ sK186_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2835]) ).
thf(2952,plain,
! [SV99: $i] :
( ( ( ! [SY353: $i] :
( ~ ( in @ SY353 @ sK187_SX0 )
| ( SV99 = SY353 )
| ( in @ SV99 @ SY353 ) ) )
= $false )
| ( ( in @ SV99 @ sK187_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2836]) ).
thf(2953,plain,
! [SV114: $i] :
( ( ( in @ SV114 @ sK204_SX0 )
= $false )
| ( ( ~ ! [SY368: $i] :
( ~ ( in @ SY368 @ sK204_SX0 )
| ( SV114 = SY368 )
| ( in @ SV114 @ SY368 ) ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2837]) ).
thf(2954,plain,
! [SV115: $i] :
( ( ( in @ SV115 @ sK205_SX0 )
= $false )
| ( ( ~ ! [SY369: $i] :
( ~ ( in @ SY369 @ sK205_SX0 )
| ( SV115 = SY369 )
| ( in @ SV115 @ SY369 ) ) )
= $true )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2838]) ).
thf(2955,plain,
! [SV116: $i] :
( ( ( in @ SV116 @ sK206_SX0 )
= $false )
| ( ( ~ ! [SY370: $i] :
( ~ ( in @ SY370 @ sK206_SX0 )
| ( SV116 = SY370 )
| ( in @ SV116 @ SY370 ) ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2839]) ).
thf(2956,plain,
! [SV117: $i] :
( ( ( in @ SV117 @ sK207_SX0 )
= $false )
| ( ( ~ ! [SY371: $i] :
( ~ ( in @ SY371 @ sK207_SX0 )
| ( SV117 = SY371 )
| ( in @ SV117 @ SY371 ) ) )
= $true )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2840]) ).
thf(2957,plain,
! [SV100: $i] :
( ( ( ! [SY354: $i] :
( ~ ( in @ SY354 @ sK188_SX0 )
| ( SV100 = SY354 )
| ( in @ SV100 @ SY354 ) ) )
= $false )
| ( ( in @ SV100 @ sK188_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2841]) ).
thf(2958,plain,
! [SV101: $i] :
( ( ( ! [SY355: $i] :
( ~ ( in @ SY355 @ sK189_SX0 )
| ( SV101 = SY355 )
| ( in @ SV101 @ SY355 ) ) )
= $false )
| ( ( in @ SV101 @ sK189_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2842]) ).
thf(2959,plain,
! [SV74: $i] :
( ( ( in @ ( sK280_SY312 @ SV74 ) @ sK156_SX0 )
= $true )
| ( ( in @ SV74 @ sK156_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2849]) ).
thf(2960,plain,
! [SV74: $i] :
( ( ( SV74
= ( sK280_SY312 @ SV74 ) )
= $false )
| ( ( in @ SV74 @ sK156_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2850]) ).
thf(2961,plain,
! [SV74: $i] :
( ( ( in @ SV74 @ ( sK280_SY312 @ SV74 ) )
= $false )
| ( ( in @ SV74 @ sK156_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2850]) ).
thf(2962,plain,
! [SV75: $i] :
( ( ( in @ ( sK281_SY313 @ SV75 ) @ sK157_SX0 )
= $true )
| ( ( in @ SV75 @ sK157_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2851]) ).
thf(2963,plain,
! [SV75: $i] :
( ( ( SV75
= ( sK281_SY313 @ SV75 ) )
= $false )
| ( ( in @ SV75 @ sK157_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2852]) ).
thf(2964,plain,
! [SV75: $i] :
( ( ( in @ SV75 @ ( sK281_SY313 @ SV75 ) )
= $false )
| ( ( in @ SV75 @ sK157_SX0 )
= $false )
| ( ( sK17_SX0 = sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK86_SX0 @ sK86_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2852]) ).
thf(2965,plain,
! [SV76: $i] :
( ( ( in @ ( sK282_SY314 @ SV76 ) @ sK158_SX0 )
= $true )
| ( ( in @ SV76 @ sK158_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2853]) ).
thf(2966,plain,
! [SV76: $i] :
( ( ( SV76
= ( sK282_SY314 @ SV76 ) )
= $false )
| ( ( in @ SV76 @ sK158_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2854]) ).
thf(2967,plain,
! [SV76: $i] :
( ( ( in @ SV76 @ ( sK282_SY314 @ SV76 ) )
= $false )
| ( ( in @ SV76 @ sK158_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2854]) ).
thf(2968,plain,
! [SV77: $i] :
( ( ( in @ ( sK283_SY315 @ SV77 ) @ sK159_SX0 )
= $true )
| ( ( in @ SV77 @ sK159_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2855]) ).
thf(2969,plain,
! [SV77: $i] :
( ( ( SV77
= ( sK283_SY315 @ SV77 ) )
= $false )
| ( ( in @ SV77 @ sK159_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2856]) ).
thf(2970,plain,
! [SV77: $i] :
( ( ( in @ SV77 @ ( sK283_SY315 @ SV77 ) )
= $false )
| ( ( in @ SV77 @ sK159_SX0 )
= $false )
| ( ( in @ sK17_SX0 @ sK26_SY13 )
= $false )
| ( ( in @ sK2_SX0 @ sK7_SY6 )
= $false )
| ( ( in @ sK87_SX0 @ sK87_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2856]) ).
thf(2971,plain,
! [SV78: $i] :
( ( ( in @ ( sK284_SY316 @ SV78 ) @ sK160_SX0 )
= $true )
| ( ( in @ SV78 @ sK160_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2869]) ).
thf(2972,plain,
! [SV78: $i] :
( ( ( SV78
= ( sK284_SY316 @ SV78 ) )
= $false )
| ( ( in @ SV78 @ sK160_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2870]) ).
thf(2973,plain,
! [SV78: $i] :
( ( ( in @ SV78 @ ( sK284_SY316 @ SV78 ) )
= $false )
| ( ( in @ SV78 @ sK160_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2870]) ).
thf(2974,plain,
! [SV79: $i] :
( ( ( in @ ( sK285_SY317 @ SV79 ) @ sK161_SX0 )
= $true )
| ( ( in @ SV79 @ sK161_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2871]) ).
thf(2975,plain,
! [SV79: $i] :
( ( ( SV79
= ( sK285_SY317 @ SV79 ) )
= $false )
| ( ( in @ SV79 @ sK161_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2872]) ).
thf(2976,plain,
! [SV79: $i] :
( ( ( in @ SV79 @ ( sK285_SY317 @ SV79 ) )
= $false )
| ( ( in @ SV79 @ sK161_SX0 )
= $false )
| ( ( sK20_SX0 = sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK92_SX0 @ sK92_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2872]) ).
thf(2977,plain,
! [SV80: $i] :
( ( ( in @ ( sK286_SY318 @ SV80 ) @ sK162_SX0 )
= $true )
| ( ( in @ SV80 @ sK162_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2873]) ).
thf(2978,plain,
! [SV80: $i] :
( ( ( SV80
= ( sK286_SY318 @ SV80 ) )
= $false )
| ( ( in @ SV80 @ sK162_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2874]) ).
thf(2979,plain,
! [SV80: $i] :
( ( ( in @ SV80 @ ( sK286_SY318 @ SV80 ) )
= $false )
| ( ( in @ SV80 @ sK162_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2874]) ).
thf(2980,plain,
! [SV81: $i] :
( ( ( in @ ( sK287_SY319 @ SV81 ) @ sK163_SX0 )
= $true )
| ( ( in @ SV81 @ sK163_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2875]) ).
thf(2981,plain,
! [SV81: $i] :
( ( ( SV81
= ( sK287_SY319 @ SV81 ) )
= $false )
| ( ( in @ SV81 @ sK163_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2876]) ).
thf(2982,plain,
! [SV81: $i] :
( ( ( in @ SV81 @ ( sK287_SY319 @ SV81 ) )
= $false )
| ( ( in @ SV81 @ sK163_SX0 )
= $false )
| ( ( in @ sK20_SX0 @ sK30_SY14 )
= $false )
| ( ( in @ sK9_SY7 @ emptyset )
= $true )
| ( ( in @ sK93_SX0 @ sK93_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2876]) ).
thf(2983,plain,
! [SV90: $i] :
( ( ( ~ ( in @ ( sK296_SY344 @ SV90 ) @ sK176_SX0 ) )
= $false )
| ( ( in @ SV90 @ sK176_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2883]) ).
thf(2984,plain,
! [SV90: $i] :
( ( ( ( SV90
= ( sK296_SY344 @ SV90 ) )
| ( in @ SV90 @ ( sK296_SY344 @ SV90 ) ) )
= $false )
| ( ( in @ SV90 @ sK176_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2883]) ).
thf(2985,plain,
! [SV91: $i] :
( ( ( ~ ( in @ ( sK297_SY345 @ SV91 ) @ sK177_SX0 ) )
= $false )
| ( ( in @ SV91 @ sK177_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2884]) ).
thf(2986,plain,
! [SV91: $i] :
( ( ( ( SV91
= ( sK297_SY345 @ SV91 ) )
| ( in @ SV91 @ ( sK297_SY345 @ SV91 ) ) )
= $false )
| ( ( in @ SV91 @ sK177_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2884]) ).
thf(2987,plain,
! [SV102: $i] :
( ( ( ! [SY356: $i] :
( ~ ( in @ SY356 @ sK192_SX0 )
| ( SV102 = SY356 )
| ( in @ SV102 @ SY356 ) ) )
= $false )
| ( ( in @ SV102 @ sK192_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2885]) ).
thf(2988,plain,
! [SV103: $i] :
( ( ( ! [SY357: $i] :
( ~ ( in @ SY357 @ sK193_SX0 )
| ( SV103 = SY357 )
| ( in @ SV103 @ SY357 ) ) )
= $false )
| ( ( in @ SV103 @ sK193_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2886]) ).
thf(2989,plain,
! [SV118: $i] :
( ( ( in @ SV118 @ sK208_SX0 )
= $false )
| ( ( ~ ! [SY372: $i] :
( ~ ( in @ SY372 @ sK208_SX0 )
| ( SV118 = SY372 )
| ( in @ SV118 @ SY372 ) ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2887]) ).
thf(2990,plain,
! [SV119: $i] :
( ( ( in @ SV119 @ sK209_SX0 )
= $false )
| ( ( ~ ! [SY373: $i] :
( ~ ( in @ SY373 @ sK209_SX0 )
| ( SV119 = SY373 )
| ( in @ SV119 @ SY373 ) ) )
= $true )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2888]) ).
thf(2991,plain,
! [SV120: $i] :
( ( ( in @ SV120 @ sK210_SX0 )
= $false )
| ( ( ~ ! [SY374: $i] :
( ~ ( in @ SY374 @ sK210_SX0 )
| ( SV120 = SY374 )
| ( in @ SV120 @ SY374 ) ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2889]) ).
thf(2992,plain,
! [SV121: $i] :
( ( ( in @ SV121 @ sK211_SX0 )
= $false )
| ( ( ~ ! [SY375: $i] :
( ~ ( in @ SY375 @ sK211_SX0 )
| ( SV121 = SY375 )
| ( in @ SV121 @ SY375 ) ) )
= $true )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2890]) ).
thf(2993,plain,
! [SV104: $i] :
( ( ( ! [SY358: $i] :
( ~ ( in @ SY358 @ sK194_SX0 )
| ( SV104 = SY358 )
| ( in @ SV104 @ SY358 ) ) )
= $false )
| ( ( in @ SV104 @ sK194_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2891]) ).
thf(2994,plain,
! [SV105: $i] :
( ( ( ! [SY359: $i] :
( ~ ( in @ SY359 @ sK195_SX0 )
| ( SV105 = SY359 )
| ( in @ SV105 @ SY359 ) ) )
= $false )
| ( ( in @ SV105 @ sK195_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2892]) ).
thf(2995,plain,
! [SV92: $i] :
( ( ( ~ ( in @ ( sK298_SY346 @ SV92 ) @ sK178_SX0 ) )
= $false )
| ( ( in @ SV92 @ sK178_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2893]) ).
thf(2996,plain,
! [SV92: $i] :
( ( ( ( SV92
= ( sK298_SY346 @ SV92 ) )
| ( in @ SV92 @ ( sK298_SY346 @ SV92 ) ) )
= $false )
| ( ( in @ SV92 @ sK178_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2893]) ).
thf(2997,plain,
! [SV93: $i] :
( ( ( ~ ( in @ ( sK299_SY347 @ SV93 ) @ sK179_SX0 ) )
= $false )
| ( ( in @ SV93 @ sK179_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2894]) ).
thf(2998,plain,
! [SV93: $i] :
( ( ( ( SV93
= ( sK299_SY347 @ SV93 ) )
| ( in @ SV93 @ ( sK299_SY347 @ SV93 ) ) )
= $false )
| ( ( in @ SV93 @ sK179_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2894]) ).
thf(2999,plain,
! [SV106: $i] :
( ( ( ! [SY360: $i] :
( ~ ( in @ SY360 @ sK196_SX0 )
| ( SV106 = SY360 )
| ( in @ SV106 @ SY360 ) ) )
= $false )
| ( ( in @ SV106 @ sK196_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2895]) ).
thf(3000,plain,
! [SV107: $i] :
( ( ( ! [SY361: $i] :
( ~ ( in @ SY361 @ sK197_SX0 )
| ( SV107 = SY361 )
| ( in @ SV107 @ SY361 ) ) )
= $false )
| ( ( in @ SV107 @ sK197_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2896]) ).
thf(3001,plain,
! [SV122: $i] :
( ( ( in @ SV122 @ sK212_SX0 )
= $false )
| ( ( ~ ! [SY376: $i] :
( ~ ( in @ SY376 @ sK212_SX0 )
| ( SV122 = SY376 )
| ( in @ SV122 @ SY376 ) ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2897]) ).
thf(3002,plain,
! [SV123: $i] :
( ( ( in @ SV123 @ sK213_SX0 )
= $false )
| ( ( ~ ! [SY377: $i] :
( ~ ( in @ SY377 @ sK213_SX0 )
| ( SV123 = SY377 )
| ( in @ SV123 @ SY377 ) ) )
= $true )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2898]) ).
thf(3003,plain,
! [SV124: $i] :
( ( ( in @ SV124 @ sK214_SX0 )
= $false )
| ( ( ~ ! [SY378: $i] :
( ~ ( in @ SY378 @ sK214_SX0 )
| ( SV124 = SY378 )
| ( in @ SV124 @ SY378 ) ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2899]) ).
thf(3004,plain,
! [SV125: $i] :
( ( ( in @ SV125 @ sK215_SX0 )
= $false )
| ( ( ~ ! [SY379: $i] :
( ~ ( in @ SY379 @ sK215_SX0 )
| ( SV125 = SY379 )
| ( in @ SV125 @ SY379 ) ) )
= $true )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2900]) ).
thf(3005,plain,
! [SV108: $i] :
( ( ( ! [SY362: $i] :
( ~ ( in @ SY362 @ sK198_SX0 )
| ( SV108 = SY362 )
| ( in @ SV108 @ SY362 ) ) )
= $false )
| ( ( in @ SV108 @ sK198_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2901]) ).
thf(3006,plain,
! [SV109: $i] :
( ( ( ! [SY363: $i] :
( ~ ( in @ SY363 @ sK199_SX0 )
| ( SV109 = SY363 )
| ( in @ SV109 @ SY363 ) ) )
= $false )
| ( ( in @ SV109 @ sK199_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2902]) ).
thf(3007,plain,
! [SV82: $i] :
( ( ( in @ ( sK288_SY336 @ SV82 ) @ sK168_SX0 )
= $true )
| ( ( in @ SV82 @ sK168_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2909]) ).
thf(3008,plain,
! [SV82: $i] :
( ( ( SV82
= ( sK288_SY336 @ SV82 ) )
= $false )
| ( ( in @ SV82 @ sK168_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2910]) ).
thf(3009,plain,
! [SV82: $i] :
( ( ( in @ SV82 @ ( sK288_SY336 @ SV82 ) )
= $false )
| ( ( in @ SV82 @ sK168_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2910]) ).
thf(3010,plain,
! [SV83: $i] :
( ( ( in @ ( sK289_SY337 @ SV83 ) @ sK169_SX0 )
= $true )
| ( ( in @ SV83 @ sK169_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2911]) ).
thf(3011,plain,
! [SV83: $i] :
( ( ( SV83
= ( sK289_SY337 @ SV83 ) )
= $false )
| ( ( in @ SV83 @ sK169_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2912]) ).
thf(3012,plain,
! [SV83: $i] :
( ( ( in @ SV83 @ ( sK289_SY337 @ SV83 ) )
= $false )
| ( ( in @ SV83 @ sK169_SX0 )
= $false )
| ( ( sK21_SX0 = sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK94_SX0 @ sK94_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2912]) ).
thf(3013,plain,
! [SV84: $i] :
( ( ( in @ ( sK290_SY338 @ SV84 ) @ sK170_SX0 )
= $true )
| ( ( in @ SV84 @ sK170_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2913]) ).
thf(3014,plain,
! [SV84: $i] :
( ( ( SV84
= ( sK290_SY338 @ SV84 ) )
= $false )
| ( ( in @ SV84 @ sK170_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2914]) ).
thf(3015,plain,
! [SV84: $i] :
( ( ( in @ SV84 @ ( sK290_SY338 @ SV84 ) )
= $false )
| ( ( in @ SV84 @ sK170_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2914]) ).
thf(3016,plain,
! [SV85: $i] :
( ( ( in @ ( sK291_SY339 @ SV85 ) @ sK171_SX0 )
= $true )
| ( ( in @ SV85 @ sK171_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2915]) ).
thf(3017,plain,
! [SV85: $i] :
( ( ( SV85
= ( sK291_SY339 @ SV85 ) )
= $false )
| ( ( in @ SV85 @ sK171_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2916]) ).
thf(3018,plain,
! [SV85: $i] :
( ( ( in @ SV85 @ ( sK291_SY339 @ SV85 ) )
= $false )
| ( ( in @ SV85 @ sK171_SX0 )
= $false )
| ( ( in @ sK21_SX0 @ sK31_SY15 )
= $false )
| ( ( in @ sK3_SX0 @ sK9_SY7 )
= $false )
| ( ( in @ sK95_SX0 @ sK95_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2916]) ).
thf(3019,plain,
! [SV86: $i] :
( ( ( in @ ( sK292_SY340 @ SV86 ) @ sK172_SX0 )
= $true )
| ( ( in @ SV86 @ sK172_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2935]) ).
thf(3020,plain,
! [SV86: $i] :
( ( ( SV86
= ( sK292_SY340 @ SV86 ) )
= $false )
| ( ( in @ SV86 @ sK172_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2936]) ).
thf(3021,plain,
! [SV86: $i] :
( ( ( in @ SV86 @ ( sK292_SY340 @ SV86 ) )
= $false )
| ( ( in @ SV86 @ sK172_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2936]) ).
thf(3022,plain,
! [SV87: $i] :
( ( ( in @ ( sK293_SY341 @ SV87 ) @ sK173_SX0 )
= $true )
| ( ( in @ SV87 @ sK173_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2937]) ).
thf(3023,plain,
! [SV87: $i] :
( ( ( SV87
= ( sK293_SY341 @ SV87 ) )
= $false )
| ( ( in @ SV87 @ sK173_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2938]) ).
thf(3024,plain,
! [SV87: $i] :
( ( ( in @ SV87 @ ( sK293_SY341 @ SV87 ) )
= $false )
| ( ( in @ SV87 @ sK173_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK102_SX0 @ sK102_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2938]) ).
thf(3025,plain,
! [SV94: $i] :
( ( ( ~ ( in @ ( sK300_SY348 @ SV94 ) @ sK182_SX0 )
| ( SV94
= ( sK300_SY348 @ SV94 ) )
| ( in @ SV94 @ ( sK300_SY348 @ SV94 ) ) )
= $false )
| ( ( in @ SV94 @ sK182_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2939]) ).
thf(3026,plain,
! [SV95: $i] :
( ( ( ~ ( in @ ( sK301_SY349 @ SV95 ) @ sK183_SX0 )
| ( SV95
= ( sK301_SY349 @ SV95 ) )
| ( in @ SV95 @ ( sK301_SY349 @ SV95 ) ) )
= $false )
| ( ( in @ SV95 @ sK183_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2940]) ).
thf(3027,plain,
! [SV110: $i] :
( ( ( ! [SY364: $i] :
( ~ ( in @ SY364 @ sK200_SX0 )
| ( SV110 = SY364 )
| ( in @ SV110 @ SY364 ) ) )
= $false )
| ( ( in @ SV110 @ sK200_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2941]) ).
thf(3028,plain,
! [SV111: $i] :
( ( ( ! [SY365: $i] :
( ~ ( in @ SY365 @ sK201_SX0 )
| ( SV111 = SY365 )
| ( in @ SV111 @ SY365 ) ) )
= $false )
| ( ( in @ SV111 @ sK201_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2942]) ).
thf(3029,plain,
! [SV112: $i] :
( ( ( ! [SY366: $i] :
( ~ ( in @ SY366 @ sK202_SX0 )
| ( SV112 = SY366 )
| ( in @ SV112 @ SY366 ) ) )
= $false )
| ( ( in @ SV112 @ sK202_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2943]) ).
thf(3030,plain,
! [SV113: $i] :
( ( ( ! [SY367: $i] :
( ~ ( in @ SY367 @ sK203_SX0 )
| ( SV113 = SY367 )
| ( in @ SV113 @ SY367 ) ) )
= $false )
| ( ( in @ SV113 @ sK203_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2944]) ).
thf(3031,plain,
! [SV96: $i] :
( ( ( ~ ( in @ ( sK302_SY350 @ SV96 ) @ sK184_SX0 )
| ( SV96
= ( sK302_SY350 @ SV96 ) )
| ( in @ SV96 @ ( sK302_SY350 @ SV96 ) ) )
= $false )
| ( ( in @ SV96 @ sK184_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2945]) ).
thf(3032,plain,
! [SV97: $i] :
( ( ( ~ ( in @ ( sK303_SY351 @ SV97 ) @ sK185_SX0 )
| ( SV97
= ( sK303_SY351 @ SV97 ) )
| ( in @ SV97 @ ( sK303_SY351 @ SV97 ) ) )
= $false )
| ( ( in @ SV97 @ sK185_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2946]) ).
thf(3033,plain,
! [SV88: $i] :
( ( ( in @ ( sK294_SY342 @ SV88 ) @ sK174_SX0 )
= $true )
| ( ( in @ SV88 @ sK174_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2947]) ).
thf(3034,plain,
! [SV88: $i] :
( ( ( SV88
= ( sK294_SY342 @ SV88 ) )
= $false )
| ( ( in @ SV88 @ sK174_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2948]) ).
thf(3035,plain,
! [SV88: $i] :
( ( ( in @ SV88 @ ( sK294_SY342 @ SV88 ) )
= $false )
| ( ( in @ SV88 @ sK174_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2948]) ).
thf(3036,plain,
! [SV89: $i] :
( ( ( in @ ( sK295_SY343 @ SV89 ) @ sK175_SX0 )
= $true )
| ( ( in @ SV89 @ sK175_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2949]) ).
thf(3037,plain,
! [SV89: $i] :
( ( ( SV89
= ( sK295_SY343 @ SV89 ) )
= $false )
| ( ( in @ SV89 @ sK175_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2950]) ).
thf(3038,plain,
! [SV89: $i] :
( ( ( in @ SV89 @ ( sK295_SY343 @ SV89 ) )
= $false )
| ( ( in @ SV89 @ sK175_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK103_SX0 @ sK103_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2950]) ).
thf(3039,plain,
! [SV98: $i] :
( ( ( ~ ( in @ ( sK304_SY352 @ SV98 ) @ sK186_SX0 )
| ( SV98
= ( sK304_SY352 @ SV98 ) )
| ( in @ SV98 @ ( sK304_SY352 @ SV98 ) ) )
= $false )
| ( ( in @ SV98 @ sK186_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2951]) ).
thf(3040,plain,
! [SV99: $i] :
( ( ( ~ ( in @ ( sK305_SY353 @ SV99 ) @ sK187_SX0 )
| ( SV99
= ( sK305_SY353 @ SV99 ) )
| ( in @ SV99 @ ( sK305_SY353 @ SV99 ) ) )
= $false )
| ( ( in @ SV99 @ sK187_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2952]) ).
thf(3041,plain,
! [SV114: $i] :
( ( ( ! [SY368: $i] :
( ~ ( in @ SY368 @ sK204_SX0 )
| ( SV114 = SY368 )
| ( in @ SV114 @ SY368 ) ) )
= $false )
| ( ( in @ SV114 @ sK204_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2953]) ).
thf(3042,plain,
! [SV115: $i] :
( ( ( ! [SY369: $i] :
( ~ ( in @ SY369 @ sK205_SX0 )
| ( SV115 = SY369 )
| ( in @ SV115 @ SY369 ) ) )
= $false )
| ( ( in @ SV115 @ sK205_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2954]) ).
thf(3043,plain,
! [SV116: $i] :
( ( ( ! [SY370: $i] :
( ~ ( in @ SY370 @ sK206_SX0 )
| ( SV116 = SY370 )
| ( in @ SV116 @ SY370 ) ) )
= $false )
| ( ( in @ SV116 @ sK206_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2955]) ).
thf(3044,plain,
! [SV117: $i] :
( ( ( ! [SY371: $i] :
( ~ ( in @ SY371 @ sK207_SX0 )
| ( SV117 = SY371 )
| ( in @ SV117 @ SY371 ) ) )
= $false )
| ( ( in @ SV117 @ sK207_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2956]) ).
thf(3045,plain,
! [SV100: $i] :
( ( ( ~ ( in @ ( sK306_SY354 @ SV100 ) @ sK188_SX0 )
| ( SV100
= ( sK306_SY354 @ SV100 ) )
| ( in @ SV100 @ ( sK306_SY354 @ SV100 ) ) )
= $false )
| ( ( in @ SV100 @ sK188_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2957]) ).
thf(3046,plain,
! [SV101: $i] :
( ( ( ~ ( in @ ( sK307_SY355 @ SV101 ) @ sK189_SX0 )
| ( SV101
= ( sK307_SY355 @ SV101 ) )
| ( in @ SV101 @ ( sK307_SY355 @ SV101 ) ) )
= $false )
| ( ( in @ SV101 @ sK189_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2958]) ).
thf(3047,plain,
! [SV90: $i] :
( ( ( in @ ( sK296_SY344 @ SV90 ) @ sK176_SX0 )
= $true )
| ( ( in @ SV90 @ sK176_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2983]) ).
thf(3048,plain,
! [SV90: $i] :
( ( ( SV90
= ( sK296_SY344 @ SV90 ) )
= $false )
| ( ( in @ SV90 @ sK176_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2984]) ).
thf(3049,plain,
! [SV90: $i] :
( ( ( in @ SV90 @ ( sK296_SY344 @ SV90 ) )
= $false )
| ( ( in @ SV90 @ sK176_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2984]) ).
thf(3050,plain,
! [SV91: $i] :
( ( ( in @ ( sK297_SY345 @ SV91 ) @ sK177_SX0 )
= $true )
| ( ( in @ SV91 @ sK177_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2985]) ).
thf(3051,plain,
! [SV91: $i] :
( ( ( SV91
= ( sK297_SY345 @ SV91 ) )
= $false )
| ( ( in @ SV91 @ sK177_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2986]) ).
thf(3052,plain,
! [SV91: $i] :
( ( ( in @ SV91 @ ( sK297_SY345 @ SV91 ) )
= $false )
| ( ( in @ SV91 @ sK177_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK112_SX0 @ sK112_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2986]) ).
thf(3053,plain,
! [SV102: $i] :
( ( ( ~ ( in @ ( sK308_SY356 @ SV102 ) @ sK192_SX0 )
| ( SV102
= ( sK308_SY356 @ SV102 ) )
| ( in @ SV102 @ ( sK308_SY356 @ SV102 ) ) )
= $false )
| ( ( in @ SV102 @ sK192_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2987]) ).
thf(3054,plain,
! [SV103: $i] :
( ( ( ~ ( in @ ( sK309_SY357 @ SV103 ) @ sK193_SX0 )
| ( SV103
= ( sK309_SY357 @ SV103 ) )
| ( in @ SV103 @ ( sK309_SY357 @ SV103 ) ) )
= $false )
| ( ( in @ SV103 @ sK193_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2988]) ).
thf(3055,plain,
! [SV118: $i] :
( ( ( ! [SY372: $i] :
( ~ ( in @ SY372 @ sK208_SX0 )
| ( SV118 = SY372 )
| ( in @ SV118 @ SY372 ) ) )
= $false )
| ( ( in @ SV118 @ sK208_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2989]) ).
thf(3056,plain,
! [SV119: $i] :
( ( ( ! [SY373: $i] :
( ~ ( in @ SY373 @ sK209_SX0 )
| ( SV119 = SY373 )
| ( in @ SV119 @ SY373 ) ) )
= $false )
| ( ( in @ SV119 @ sK209_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2990]) ).
thf(3057,plain,
! [SV120: $i] :
( ( ( ! [SY374: $i] :
( ~ ( in @ SY374 @ sK210_SX0 )
| ( SV120 = SY374 )
| ( in @ SV120 @ SY374 ) ) )
= $false )
| ( ( in @ SV120 @ sK210_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2991]) ).
thf(3058,plain,
! [SV121: $i] :
( ( ( ! [SY375: $i] :
( ~ ( in @ SY375 @ sK211_SX0 )
| ( SV121 = SY375 )
| ( in @ SV121 @ SY375 ) ) )
= $false )
| ( ( in @ SV121 @ sK211_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2992]) ).
thf(3059,plain,
! [SV104: $i] :
( ( ( ~ ( in @ ( sK310_SY358 @ SV104 ) @ sK194_SX0 )
| ( SV104
= ( sK310_SY358 @ SV104 ) )
| ( in @ SV104 @ ( sK310_SY358 @ SV104 ) ) )
= $false )
| ( ( in @ SV104 @ sK194_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2993]) ).
thf(3060,plain,
! [SV105: $i] :
( ( ( ~ ( in @ ( sK311_SY359 @ SV105 ) @ sK195_SX0 )
| ( SV105
= ( sK311_SY359 @ SV105 ) )
| ( in @ SV105 @ ( sK311_SY359 @ SV105 ) ) )
= $false )
| ( ( in @ SV105 @ sK195_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2994]) ).
thf(3061,plain,
! [SV92: $i] :
( ( ( in @ ( sK298_SY346 @ SV92 ) @ sK178_SX0 )
= $true )
| ( ( in @ SV92 @ sK178_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2995]) ).
thf(3062,plain,
! [SV92: $i] :
( ( ( SV92
= ( sK298_SY346 @ SV92 ) )
= $false )
| ( ( in @ SV92 @ sK178_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2996]) ).
thf(3063,plain,
! [SV92: $i] :
( ( ( in @ SV92 @ ( sK298_SY346 @ SV92 ) )
= $false )
| ( ( in @ SV92 @ sK178_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2996]) ).
thf(3064,plain,
! [SV93: $i] :
( ( ( in @ ( sK299_SY347 @ SV93 ) @ sK179_SX0 )
= $true )
| ( ( in @ SV93 @ sK179_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2997]) ).
thf(3065,plain,
! [SV93: $i] :
( ( ( SV93
= ( sK299_SY347 @ SV93 ) )
= $false )
| ( ( in @ SV93 @ sK179_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2998]) ).
thf(3066,plain,
! [SV93: $i] :
( ( ( in @ SV93 @ ( sK299_SY347 @ SV93 ) )
= $false )
| ( ( in @ SV93 @ sK179_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK113_SX0 @ sK113_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2998]) ).
thf(3067,plain,
! [SV106: $i] :
( ( ( ~ ( in @ ( sK312_SY360 @ SV106 ) @ sK196_SX0 )
| ( SV106
= ( sK312_SY360 @ SV106 ) )
| ( in @ SV106 @ ( sK312_SY360 @ SV106 ) ) )
= $false )
| ( ( in @ SV106 @ sK196_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2999]) ).
thf(3068,plain,
! [SV107: $i] :
( ( ( ~ ( in @ ( sK313_SY361 @ SV107 ) @ sK197_SX0 )
| ( SV107
= ( sK313_SY361 @ SV107 ) )
| ( in @ SV107 @ ( sK313_SY361 @ SV107 ) ) )
= $false )
| ( ( in @ SV107 @ sK197_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3000]) ).
thf(3069,plain,
! [SV122: $i] :
( ( ( ! [SY376: $i] :
( ~ ( in @ SY376 @ sK212_SX0 )
| ( SV122 = SY376 )
| ( in @ SV122 @ SY376 ) ) )
= $false )
| ( ( in @ SV122 @ sK212_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3001]) ).
thf(3070,plain,
! [SV123: $i] :
( ( ( ! [SY377: $i] :
( ~ ( in @ SY377 @ sK213_SX0 )
| ( SV123 = SY377 )
| ( in @ SV123 @ SY377 ) ) )
= $false )
| ( ( in @ SV123 @ sK213_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3002]) ).
thf(3071,plain,
! [SV124: $i] :
( ( ( ! [SY378: $i] :
( ~ ( in @ SY378 @ sK214_SX0 )
| ( SV124 = SY378 )
| ( in @ SV124 @ SY378 ) ) )
= $false )
| ( ( in @ SV124 @ sK214_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3003]) ).
thf(3072,plain,
! [SV125: $i] :
( ( ( ! [SY379: $i] :
( ~ ( in @ SY379 @ sK215_SX0 )
| ( SV125 = SY379 )
| ( in @ SV125 @ SY379 ) ) )
= $false )
| ( ( in @ SV125 @ sK215_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3004]) ).
thf(3073,plain,
! [SV108: $i] :
( ( ( ~ ( in @ ( sK314_SY362 @ SV108 ) @ sK198_SX0 )
| ( SV108
= ( sK314_SY362 @ SV108 ) )
| ( in @ SV108 @ ( sK314_SY362 @ SV108 ) ) )
= $false )
| ( ( in @ SV108 @ sK198_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3005]) ).
thf(3074,plain,
! [SV109: $i] :
( ( ( ~ ( in @ ( sK315_SY363 @ SV109 ) @ sK199_SX0 )
| ( SV109
= ( sK315_SY363 @ SV109 ) )
| ( in @ SV109 @ ( sK315_SY363 @ SV109 ) ) )
= $false )
| ( ( in @ SV109 @ sK199_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3006]) ).
thf(3075,plain,
! [SV94: $i] :
( ( ( ~ ( in @ ( sK300_SY348 @ SV94 ) @ sK182_SX0 ) )
= $false )
| ( ( in @ SV94 @ sK182_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3025]) ).
thf(3076,plain,
! [SV94: $i] :
( ( ( ( SV94
= ( sK300_SY348 @ SV94 ) )
| ( in @ SV94 @ ( sK300_SY348 @ SV94 ) ) )
= $false )
| ( ( in @ SV94 @ sK182_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3025]) ).
thf(3077,plain,
! [SV95: $i] :
( ( ( ~ ( in @ ( sK301_SY349 @ SV95 ) @ sK183_SX0 ) )
= $false )
| ( ( in @ SV95 @ sK183_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3026]) ).
thf(3078,plain,
! [SV95: $i] :
( ( ( ( SV95
= ( sK301_SY349 @ SV95 ) )
| ( in @ SV95 @ ( sK301_SY349 @ SV95 ) ) )
= $false )
| ( ( in @ SV95 @ sK183_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3026]) ).
thf(3079,plain,
! [SV110: $i] :
( ( ( ~ ( in @ ( sK316_SY364 @ SV110 ) @ sK200_SX0 )
| ( SV110
= ( sK316_SY364 @ SV110 ) )
| ( in @ SV110 @ ( sK316_SY364 @ SV110 ) ) )
= $false )
| ( ( in @ SV110 @ sK200_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3027]) ).
thf(3080,plain,
! [SV111: $i] :
( ( ( ~ ( in @ ( sK317_SY365 @ SV111 ) @ sK201_SX0 )
| ( SV111
= ( sK317_SY365 @ SV111 ) )
| ( in @ SV111 @ ( sK317_SY365 @ SV111 ) ) )
= $false )
| ( ( in @ SV111 @ sK201_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3028]) ).
thf(3081,plain,
! [SV112: $i] :
( ( ( ~ ( in @ ( sK318_SY366 @ SV112 ) @ sK202_SX0 )
| ( SV112
= ( sK318_SY366 @ SV112 ) )
| ( in @ SV112 @ ( sK318_SY366 @ SV112 ) ) )
= $false )
| ( ( in @ SV112 @ sK202_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3029]) ).
thf(3082,plain,
! [SV113: $i] :
( ( ( ~ ( in @ ( sK319_SY367 @ SV113 ) @ sK203_SX0 )
| ( SV113
= ( sK319_SY367 @ SV113 ) )
| ( in @ SV113 @ ( sK319_SY367 @ SV113 ) ) )
= $false )
| ( ( in @ SV113 @ sK203_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3030]) ).
thf(3083,plain,
! [SV96: $i] :
( ( ( ~ ( in @ ( sK302_SY350 @ SV96 ) @ sK184_SX0 ) )
= $false )
| ( ( in @ SV96 @ sK184_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3031]) ).
thf(3084,plain,
! [SV96: $i] :
( ( ( ( SV96
= ( sK302_SY350 @ SV96 ) )
| ( in @ SV96 @ ( sK302_SY350 @ SV96 ) ) )
= $false )
| ( ( in @ SV96 @ sK184_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3031]) ).
thf(3085,plain,
! [SV97: $i] :
( ( ( ~ ( in @ ( sK303_SY351 @ SV97 ) @ sK185_SX0 ) )
= $false )
| ( ( in @ SV97 @ sK185_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3032]) ).
thf(3086,plain,
! [SV97: $i] :
( ( ( ( SV97
= ( sK303_SY351 @ SV97 ) )
| ( in @ SV97 @ ( sK303_SY351 @ SV97 ) ) )
= $false )
| ( ( in @ SV97 @ sK185_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3032]) ).
thf(3087,plain,
! [SV98: $i] :
( ( ( ~ ( in @ ( sK304_SY352 @ SV98 ) @ sK186_SX0 ) )
= $false )
| ( ( in @ SV98 @ sK186_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3039]) ).
thf(3088,plain,
! [SV98: $i] :
( ( ( ( SV98
= ( sK304_SY352 @ SV98 ) )
| ( in @ SV98 @ ( sK304_SY352 @ SV98 ) ) )
= $false )
| ( ( in @ SV98 @ sK186_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3039]) ).
thf(3089,plain,
! [SV99: $i] :
( ( ( ~ ( in @ ( sK305_SY353 @ SV99 ) @ sK187_SX0 ) )
= $false )
| ( ( in @ SV99 @ sK187_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3040]) ).
thf(3090,plain,
! [SV99: $i] :
( ( ( ( SV99
= ( sK305_SY353 @ SV99 ) )
| ( in @ SV99 @ ( sK305_SY353 @ SV99 ) ) )
= $false )
| ( ( in @ SV99 @ sK187_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3040]) ).
thf(3091,plain,
! [SV114: $i] :
( ( ( ~ ( in @ ( sK320_SY368 @ SV114 ) @ sK204_SX0 )
| ( SV114
= ( sK320_SY368 @ SV114 ) )
| ( in @ SV114 @ ( sK320_SY368 @ SV114 ) ) )
= $false )
| ( ( in @ SV114 @ sK204_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3041]) ).
thf(3092,plain,
! [SV115: $i] :
( ( ( ~ ( in @ ( sK321_SY369 @ SV115 ) @ sK205_SX0 )
| ( SV115
= ( sK321_SY369 @ SV115 ) )
| ( in @ SV115 @ ( sK321_SY369 @ SV115 ) ) )
= $false )
| ( ( in @ SV115 @ sK205_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3042]) ).
thf(3093,plain,
! [SV116: $i] :
( ( ( ~ ( in @ ( sK322_SY370 @ SV116 ) @ sK206_SX0 )
| ( SV116
= ( sK322_SY370 @ SV116 ) )
| ( in @ SV116 @ ( sK322_SY370 @ SV116 ) ) )
= $false )
| ( ( in @ SV116 @ sK206_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3043]) ).
thf(3094,plain,
! [SV117: $i] :
( ( ( ~ ( in @ ( sK323_SY371 @ SV117 ) @ sK207_SX0 )
| ( SV117
= ( sK323_SY371 @ SV117 ) )
| ( in @ SV117 @ ( sK323_SY371 @ SV117 ) ) )
= $false )
| ( ( in @ SV117 @ sK207_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3044]) ).
thf(3095,plain,
! [SV100: $i] :
( ( ( ~ ( in @ ( sK306_SY354 @ SV100 ) @ sK188_SX0 ) )
= $false )
| ( ( in @ SV100 @ sK188_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3045]) ).
thf(3096,plain,
! [SV100: $i] :
( ( ( ( SV100
= ( sK306_SY354 @ SV100 ) )
| ( in @ SV100 @ ( sK306_SY354 @ SV100 ) ) )
= $false )
| ( ( in @ SV100 @ sK188_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3045]) ).
thf(3097,plain,
! [SV101: $i] :
( ( ( ~ ( in @ ( sK307_SY355 @ SV101 ) @ sK189_SX0 ) )
= $false )
| ( ( in @ SV101 @ sK189_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3046]) ).
thf(3098,plain,
! [SV101: $i] :
( ( ( ( SV101
= ( sK307_SY355 @ SV101 ) )
| ( in @ SV101 @ ( sK307_SY355 @ SV101 ) ) )
= $false )
| ( ( in @ SV101 @ sK189_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3046]) ).
thf(3099,plain,
! [SV102: $i] :
( ( ( ~ ( in @ ( sK308_SY356 @ SV102 ) @ sK192_SX0 ) )
= $false )
| ( ( in @ SV102 @ sK192_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3100,plain,
! [SV102: $i] :
( ( ( ( SV102
= ( sK308_SY356 @ SV102 ) )
| ( in @ SV102 @ ( sK308_SY356 @ SV102 ) ) )
= $false )
| ( ( in @ SV102 @ sK192_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3101,plain,
! [SV103: $i] :
( ( ( ~ ( in @ ( sK309_SY357 @ SV103 ) @ sK193_SX0 ) )
= $false )
| ( ( in @ SV103 @ sK193_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3054]) ).
thf(3102,plain,
! [SV103: $i] :
( ( ( ( SV103
= ( sK309_SY357 @ SV103 ) )
| ( in @ SV103 @ ( sK309_SY357 @ SV103 ) ) )
= $false )
| ( ( in @ SV103 @ sK193_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3054]) ).
thf(3103,plain,
! [SV118: $i] :
( ( ( ~ ( in @ ( sK324_SY372 @ SV118 ) @ sK208_SX0 )
| ( SV118
= ( sK324_SY372 @ SV118 ) )
| ( in @ SV118 @ ( sK324_SY372 @ SV118 ) ) )
= $false )
| ( ( in @ SV118 @ sK208_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3055]) ).
thf(3104,plain,
! [SV119: $i] :
( ( ( ~ ( in @ ( sK325_SY373 @ SV119 ) @ sK209_SX0 )
| ( SV119
= ( sK325_SY373 @ SV119 ) )
| ( in @ SV119 @ ( sK325_SY373 @ SV119 ) ) )
= $false )
| ( ( in @ SV119 @ sK209_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3056]) ).
thf(3105,plain,
! [SV120: $i] :
( ( ( ~ ( in @ ( sK326_SY374 @ SV120 ) @ sK210_SX0 )
| ( SV120
= ( sK326_SY374 @ SV120 ) )
| ( in @ SV120 @ ( sK326_SY374 @ SV120 ) ) )
= $false )
| ( ( in @ SV120 @ sK210_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3057]) ).
thf(3106,plain,
! [SV121: $i] :
( ( ( ~ ( in @ ( sK327_SY375 @ SV121 ) @ sK211_SX0 )
| ( SV121
= ( sK327_SY375 @ SV121 ) )
| ( in @ SV121 @ ( sK327_SY375 @ SV121 ) ) )
= $false )
| ( ( in @ SV121 @ sK211_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3058]) ).
thf(3107,plain,
! [SV104: $i] :
( ( ( ~ ( in @ ( sK310_SY358 @ SV104 ) @ sK194_SX0 ) )
= $false )
| ( ( in @ SV104 @ sK194_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3059]) ).
thf(3108,plain,
! [SV104: $i] :
( ( ( ( SV104
= ( sK310_SY358 @ SV104 ) )
| ( in @ SV104 @ ( sK310_SY358 @ SV104 ) ) )
= $false )
| ( ( in @ SV104 @ sK194_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3059]) ).
thf(3109,plain,
! [SV105: $i] :
( ( ( ~ ( in @ ( sK311_SY359 @ SV105 ) @ sK195_SX0 ) )
= $false )
| ( ( in @ SV105 @ sK195_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3060]) ).
thf(3110,plain,
! [SV105: $i] :
( ( ( ( SV105
= ( sK311_SY359 @ SV105 ) )
| ( in @ SV105 @ ( sK311_SY359 @ SV105 ) ) )
= $false )
| ( ( in @ SV105 @ sK195_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3060]) ).
thf(3111,plain,
! [SV106: $i] :
( ( ( ~ ( in @ ( sK312_SY360 @ SV106 ) @ sK196_SX0 ) )
= $false )
| ( ( in @ SV106 @ sK196_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3067]) ).
thf(3112,plain,
! [SV106: $i] :
( ( ( ( SV106
= ( sK312_SY360 @ SV106 ) )
| ( in @ SV106 @ ( sK312_SY360 @ SV106 ) ) )
= $false )
| ( ( in @ SV106 @ sK196_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3067]) ).
thf(3113,plain,
! [SV107: $i] :
( ( ( ~ ( in @ ( sK313_SY361 @ SV107 ) @ sK197_SX0 ) )
= $false )
| ( ( in @ SV107 @ sK197_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3068]) ).
thf(3114,plain,
! [SV107: $i] :
( ( ( ( SV107
= ( sK313_SY361 @ SV107 ) )
| ( in @ SV107 @ ( sK313_SY361 @ SV107 ) ) )
= $false )
| ( ( in @ SV107 @ sK197_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3068]) ).
thf(3115,plain,
! [SV122: $i] :
( ( ( ~ ( in @ ( sK328_SY376 @ SV122 ) @ sK212_SX0 )
| ( SV122
= ( sK328_SY376 @ SV122 ) )
| ( in @ SV122 @ ( sK328_SY376 @ SV122 ) ) )
= $false )
| ( ( in @ SV122 @ sK212_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3069]) ).
thf(3116,plain,
! [SV123: $i] :
( ( ( ~ ( in @ ( sK329_SY377 @ SV123 ) @ sK213_SX0 )
| ( SV123
= ( sK329_SY377 @ SV123 ) )
| ( in @ SV123 @ ( sK329_SY377 @ SV123 ) ) )
= $false )
| ( ( in @ SV123 @ sK213_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3070]) ).
thf(3117,plain,
! [SV124: $i] :
( ( ( ~ ( in @ ( sK330_SY378 @ SV124 ) @ sK214_SX0 )
| ( SV124
= ( sK330_SY378 @ SV124 ) )
| ( in @ SV124 @ ( sK330_SY378 @ SV124 ) ) )
= $false )
| ( ( in @ SV124 @ sK214_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3071]) ).
thf(3118,plain,
! [SV125: $i] :
( ( ( ~ ( in @ ( sK331_SY379 @ SV125 ) @ sK215_SX0 )
| ( SV125
= ( sK331_SY379 @ SV125 ) )
| ( in @ SV125 @ ( sK331_SY379 @ SV125 ) ) )
= $false )
| ( ( in @ SV125 @ sK215_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3072]) ).
thf(3119,plain,
! [SV108: $i] :
( ( ( ~ ( in @ ( sK314_SY362 @ SV108 ) @ sK198_SX0 ) )
= $false )
| ( ( in @ SV108 @ sK198_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3073]) ).
thf(3120,plain,
! [SV108: $i] :
( ( ( ( SV108
= ( sK314_SY362 @ SV108 ) )
| ( in @ SV108 @ ( sK314_SY362 @ SV108 ) ) )
= $false )
| ( ( in @ SV108 @ sK198_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3073]) ).
thf(3121,plain,
! [SV109: $i] :
( ( ( ~ ( in @ ( sK315_SY363 @ SV109 ) @ sK199_SX0 ) )
= $false )
| ( ( in @ SV109 @ sK199_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3074]) ).
thf(3122,plain,
! [SV109: $i] :
( ( ( ( SV109
= ( sK315_SY363 @ SV109 ) )
| ( in @ SV109 @ ( sK315_SY363 @ SV109 ) ) )
= $false )
| ( ( in @ SV109 @ sK199_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3074]) ).
thf(3123,plain,
! [SV94: $i] :
( ( ( in @ ( sK300_SY348 @ SV94 ) @ sK182_SX0 )
= $true )
| ( ( in @ SV94 @ sK182_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3075]) ).
thf(3124,plain,
! [SV94: $i] :
( ( ( SV94
= ( sK300_SY348 @ SV94 ) )
= $false )
| ( ( in @ SV94 @ sK182_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3076]) ).
thf(3125,plain,
! [SV94: $i] :
( ( ( in @ SV94 @ ( sK300_SY348 @ SV94 ) )
= $false )
| ( ( in @ SV94 @ sK182_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3076]) ).
thf(3126,plain,
! [SV95: $i] :
( ( ( in @ ( sK301_SY349 @ SV95 ) @ sK183_SX0 )
= $true )
| ( ( in @ SV95 @ sK183_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3077]) ).
thf(3127,plain,
! [SV95: $i] :
( ( ( SV95
= ( sK301_SY349 @ SV95 ) )
= $false )
| ( ( in @ SV95 @ sK183_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3078]) ).
thf(3128,plain,
! [SV95: $i] :
( ( ( in @ SV95 @ ( sK301_SY349 @ SV95 ) )
= $false )
| ( ( in @ SV95 @ sK183_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ emptyset )
= $true )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK128_SX0 @ sK128_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3078]) ).
thf(3129,plain,
! [SV110: $i] :
( ( ( ~ ( in @ ( sK316_SY364 @ SV110 ) @ sK200_SX0 ) )
= $false )
| ( ( in @ SV110 @ sK200_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3079]) ).
thf(3130,plain,
! [SV110: $i] :
( ( ( ( SV110
= ( sK316_SY364 @ SV110 ) )
| ( in @ SV110 @ ( sK316_SY364 @ SV110 ) ) )
= $false )
| ( ( in @ SV110 @ sK200_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3079]) ).
thf(3131,plain,
! [SV111: $i] :
( ( ( ~ ( in @ ( sK317_SY365 @ SV111 ) @ sK201_SX0 ) )
= $false )
| ( ( in @ SV111 @ sK201_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3080]) ).
thf(3132,plain,
! [SV111: $i] :
( ( ( ( SV111
= ( sK317_SY365 @ SV111 ) )
| ( in @ SV111 @ ( sK317_SY365 @ SV111 ) ) )
= $false )
| ( ( in @ SV111 @ sK201_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3080]) ).
thf(3133,plain,
! [SV112: $i] :
( ( ( ~ ( in @ ( sK318_SY366 @ SV112 ) @ sK202_SX0 ) )
= $false )
| ( ( in @ SV112 @ sK202_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3081]) ).
thf(3134,plain,
! [SV112: $i] :
( ( ( ( SV112
= ( sK318_SY366 @ SV112 ) )
| ( in @ SV112 @ ( sK318_SY366 @ SV112 ) ) )
= $false )
| ( ( in @ SV112 @ sK202_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3081]) ).
thf(3135,plain,
! [SV113: $i] :
( ( ( ~ ( in @ ( sK319_SY367 @ SV113 ) @ sK203_SX0 ) )
= $false )
| ( ( in @ SV113 @ sK203_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3082]) ).
thf(3136,plain,
! [SV113: $i] :
( ( ( ( SV113
= ( sK319_SY367 @ SV113 ) )
| ( in @ SV113 @ ( sK319_SY367 @ SV113 ) ) )
= $false )
| ( ( in @ SV113 @ sK203_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3082]) ).
thf(3137,plain,
! [SV96: $i] :
( ( ( in @ ( sK302_SY350 @ SV96 ) @ sK184_SX0 )
= $true )
| ( ( in @ SV96 @ sK184_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3083]) ).
thf(3138,plain,
! [SV96: $i] :
( ( ( SV96
= ( sK302_SY350 @ SV96 ) )
= $false )
| ( ( in @ SV96 @ sK184_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3084]) ).
thf(3139,plain,
! [SV96: $i] :
( ( ( in @ SV96 @ ( sK302_SY350 @ SV96 ) )
= $false )
| ( ( in @ SV96 @ sK184_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3084]) ).
thf(3140,plain,
! [SV97: $i] :
( ( ( in @ ( sK303_SY351 @ SV97 ) @ sK185_SX0 )
= $true )
| ( ( in @ SV97 @ sK185_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3085]) ).
thf(3141,plain,
! [SV97: $i] :
( ( ( SV97
= ( sK303_SY351 @ SV97 ) )
= $false )
| ( ( in @ SV97 @ sK185_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3086]) ).
thf(3142,plain,
! [SV97: $i] :
( ( ( in @ SV97 @ ( sK303_SY351 @ SV97 ) )
= $false )
| ( ( in @ SV97 @ sK185_SX0 )
= $false )
| ( ( in @ sK64_SY20 @ sK41_SX0 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK129_SX0 @ sK129_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3086]) ).
thf(3143,plain,
! [SV98: $i] :
( ( ( in @ ( sK304_SY352 @ SV98 ) @ sK186_SX0 )
= $true )
| ( ( in @ SV98 @ sK186_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3087]) ).
thf(3144,plain,
! [SV98: $i] :
( ( ( SV98
= ( sK304_SY352 @ SV98 ) )
= $false )
| ( ( in @ SV98 @ sK186_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3088]) ).
thf(3145,plain,
! [SV98: $i] :
( ( ( in @ SV98 @ ( sK304_SY352 @ SV98 ) )
= $false )
| ( ( in @ SV98 @ sK186_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3088]) ).
thf(3146,plain,
! [SV99: $i] :
( ( ( in @ ( sK305_SY353 @ SV99 ) @ sK187_SX0 )
= $true )
| ( ( in @ SV99 @ sK187_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3089]) ).
thf(3147,plain,
! [SV99: $i] :
( ( ( SV99
= ( sK305_SY353 @ SV99 ) )
= $false )
| ( ( in @ SV99 @ sK187_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3090]) ).
thf(3148,plain,
! [SV99: $i] :
( ( ( in @ SV99 @ ( sK305_SY353 @ SV99 ) )
= $false )
| ( ( in @ SV99 @ sK187_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ emptyset )
= $true )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK130_SX0 @ sK130_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3090]) ).
thf(3149,plain,
! [SV114: $i] :
( ( ( ~ ( in @ ( sK320_SY368 @ SV114 ) @ sK204_SX0 ) )
= $false )
| ( ( in @ SV114 @ sK204_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3091]) ).
thf(3150,plain,
! [SV114: $i] :
( ( ( ( SV114
= ( sK320_SY368 @ SV114 ) )
| ( in @ SV114 @ ( sK320_SY368 @ SV114 ) ) )
= $false )
| ( ( in @ SV114 @ sK204_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3091]) ).
thf(3151,plain,
! [SV115: $i] :
( ( ( ~ ( in @ ( sK321_SY369 @ SV115 ) @ sK205_SX0 ) )
= $false )
| ( ( in @ SV115 @ sK205_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3092]) ).
thf(3152,plain,
! [SV115: $i] :
( ( ( ( SV115
= ( sK321_SY369 @ SV115 ) )
| ( in @ SV115 @ ( sK321_SY369 @ SV115 ) ) )
= $false )
| ( ( in @ SV115 @ sK205_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3092]) ).
thf(3153,plain,
! [SV116: $i] :
( ( ( ~ ( in @ ( sK322_SY370 @ SV116 ) @ sK206_SX0 ) )
= $false )
| ( ( in @ SV116 @ sK206_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3093]) ).
thf(3154,plain,
! [SV116: $i] :
( ( ( ( SV116
= ( sK322_SY370 @ SV116 ) )
| ( in @ SV116 @ ( sK322_SY370 @ SV116 ) ) )
= $false )
| ( ( in @ SV116 @ sK206_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3093]) ).
thf(3155,plain,
! [SV117: $i] :
( ( ( ~ ( in @ ( sK323_SY371 @ SV117 ) @ sK207_SX0 ) )
= $false )
| ( ( in @ SV117 @ sK207_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3094]) ).
thf(3156,plain,
! [SV117: $i] :
( ( ( ( SV117
= ( sK323_SY371 @ SV117 ) )
| ( in @ SV117 @ ( sK323_SY371 @ SV117 ) ) )
= $false )
| ( ( in @ SV117 @ sK207_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3094]) ).
thf(3157,plain,
! [SV100: $i] :
( ( ( in @ ( sK306_SY354 @ SV100 ) @ sK188_SX0 )
= $true )
| ( ( in @ SV100 @ sK188_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3095]) ).
thf(3158,plain,
! [SV100: $i] :
( ( ( SV100
= ( sK306_SY354 @ SV100 ) )
= $false )
| ( ( in @ SV100 @ sK188_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3096]) ).
thf(3159,plain,
! [SV100: $i] :
( ( ( in @ SV100 @ ( sK306_SY354 @ SV100 ) )
= $false )
| ( ( in @ SV100 @ sK188_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3096]) ).
thf(3160,plain,
! [SV101: $i] :
( ( ( in @ ( sK307_SY355 @ SV101 ) @ sK189_SX0 )
= $true )
| ( ( in @ SV101 @ sK189_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3097]) ).
thf(3161,plain,
! [SV101: $i] :
( ( ( SV101
= ( sK307_SY355 @ SV101 ) )
= $false )
| ( ( in @ SV101 @ sK189_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3098]) ).
thf(3162,plain,
! [SV101: $i] :
( ( ( in @ SV101 @ ( sK307_SY355 @ SV101 ) )
= $false )
| ( ( in @ SV101 @ sK189_SX0 )
= $false )
| ( ( in @ sK65_SY21 @ sK42_SX0 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK131_SX0 @ sK131_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3098]) ).
thf(3163,plain,
! [SV102: $i] :
( ( ( in @ ( sK308_SY356 @ SV102 ) @ sK192_SX0 )
= $true )
| ( ( in @ SV102 @ sK192_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3099]) ).
thf(3164,plain,
! [SV102: $i] :
( ( ( SV102
= ( sK308_SY356 @ SV102 ) )
= $false )
| ( ( in @ SV102 @ sK192_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3100]) ).
thf(3165,plain,
! [SV102: $i] :
( ( ( in @ SV102 @ ( sK308_SY356 @ SV102 ) )
= $false )
| ( ( in @ SV102 @ sK192_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3100]) ).
thf(3166,plain,
! [SV103: $i] :
( ( ( in @ ( sK309_SY357 @ SV103 ) @ sK193_SX0 )
= $true )
| ( ( in @ SV103 @ sK193_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3101]) ).
thf(3167,plain,
! [SV103: $i] :
( ( ( SV103
= ( sK309_SY357 @ SV103 ) )
= $false )
| ( ( in @ SV103 @ sK193_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3102]) ).
thf(3168,plain,
! [SV103: $i] :
( ( ( in @ SV103 @ ( sK309_SY357 @ SV103 ) )
= $false )
| ( ( in @ SV103 @ sK193_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ emptyset )
= $true )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK140_SX0 @ sK140_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3102]) ).
thf(3169,plain,
! [SV118: $i] :
( ( ( ~ ( in @ ( sK324_SY372 @ SV118 ) @ sK208_SX0 ) )
= $false )
| ( ( in @ SV118 @ sK208_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3103]) ).
thf(3170,plain,
! [SV118: $i] :
( ( ( ( SV118
= ( sK324_SY372 @ SV118 ) )
| ( in @ SV118 @ ( sK324_SY372 @ SV118 ) ) )
= $false )
| ( ( in @ SV118 @ sK208_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3103]) ).
thf(3171,plain,
! [SV119: $i] :
( ( ( ~ ( in @ ( sK325_SY373 @ SV119 ) @ sK209_SX0 ) )
= $false )
| ( ( in @ SV119 @ sK209_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3104]) ).
thf(3172,plain,
! [SV119: $i] :
( ( ( ( SV119
= ( sK325_SY373 @ SV119 ) )
| ( in @ SV119 @ ( sK325_SY373 @ SV119 ) ) )
= $false )
| ( ( in @ SV119 @ sK209_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3104]) ).
thf(3173,plain,
! [SV120: $i] :
( ( ( ~ ( in @ ( sK326_SY374 @ SV120 ) @ sK210_SX0 ) )
= $false )
| ( ( in @ SV120 @ sK210_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3105]) ).
thf(3174,plain,
! [SV120: $i] :
( ( ( ( SV120
= ( sK326_SY374 @ SV120 ) )
| ( in @ SV120 @ ( sK326_SY374 @ SV120 ) ) )
= $false )
| ( ( in @ SV120 @ sK210_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3105]) ).
thf(3175,plain,
! [SV121: $i] :
( ( ( ~ ( in @ ( sK327_SY375 @ SV121 ) @ sK211_SX0 ) )
= $false )
| ( ( in @ SV121 @ sK211_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3106]) ).
thf(3176,plain,
! [SV121: $i] :
( ( ( ( SV121
= ( sK327_SY375 @ SV121 ) )
| ( in @ SV121 @ ( sK327_SY375 @ SV121 ) ) )
= $false )
| ( ( in @ SV121 @ sK211_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3106]) ).
thf(3177,plain,
! [SV104: $i] :
( ( ( in @ ( sK310_SY358 @ SV104 ) @ sK194_SX0 )
= $true )
| ( ( in @ SV104 @ sK194_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3107]) ).
thf(3178,plain,
! [SV104: $i] :
( ( ( SV104
= ( sK310_SY358 @ SV104 ) )
= $false )
| ( ( in @ SV104 @ sK194_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3108]) ).
thf(3179,plain,
! [SV104: $i] :
( ( ( in @ SV104 @ ( sK310_SY358 @ SV104 ) )
= $false )
| ( ( in @ SV104 @ sK194_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3108]) ).
thf(3180,plain,
! [SV105: $i] :
( ( ( in @ ( sK311_SY359 @ SV105 ) @ sK195_SX0 )
= $true )
| ( ( in @ SV105 @ sK195_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3109]) ).
thf(3181,plain,
! [SV105: $i] :
( ( ( SV105
= ( sK311_SY359 @ SV105 ) )
= $false )
| ( ( in @ SV105 @ sK195_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3110]) ).
thf(3182,plain,
! [SV105: $i] :
( ( ( in @ SV105 @ ( sK311_SY359 @ SV105 ) )
= $false )
| ( ( in @ SV105 @ sK195_SX0 )
= $false )
| ( ( in @ sK76_SY26 @ sK49_SX0 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK141_SX0 @ sK141_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3110]) ).
thf(3183,plain,
! [SV106: $i] :
( ( ( in @ ( sK312_SY360 @ SV106 ) @ sK196_SX0 )
= $true )
| ( ( in @ SV106 @ sK196_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3111]) ).
thf(3184,plain,
! [SV106: $i] :
( ( ( SV106
= ( sK312_SY360 @ SV106 ) )
= $false )
| ( ( in @ SV106 @ sK196_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3112]) ).
thf(3185,plain,
! [SV106: $i] :
( ( ( in @ SV106 @ ( sK312_SY360 @ SV106 ) )
= $false )
| ( ( in @ SV106 @ sK196_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3112]) ).
thf(3186,plain,
! [SV107: $i] :
( ( ( in @ ( sK313_SY361 @ SV107 ) @ sK197_SX0 )
= $true )
| ( ( in @ SV107 @ sK197_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3113]) ).
thf(3187,plain,
! [SV107: $i] :
( ( ( SV107
= ( sK313_SY361 @ SV107 ) )
= $false )
| ( ( in @ SV107 @ sK197_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3114]) ).
thf(3188,plain,
! [SV107: $i] :
( ( ( in @ SV107 @ ( sK313_SY361 @ SV107 ) )
= $false )
| ( ( in @ SV107 @ sK197_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ emptyset )
= $true )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK142_SX0 @ sK142_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3114]) ).
thf(3189,plain,
! [SV122: $i] :
( ( ( ~ ( in @ ( sK328_SY376 @ SV122 ) @ sK212_SX0 ) )
= $false )
| ( ( in @ SV122 @ sK212_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3115]) ).
thf(3190,plain,
! [SV122: $i] :
( ( ( ( SV122
= ( sK328_SY376 @ SV122 ) )
| ( in @ SV122 @ ( sK328_SY376 @ SV122 ) ) )
= $false )
| ( ( in @ SV122 @ sK212_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3115]) ).
thf(3191,plain,
! [SV123: $i] :
( ( ( ~ ( in @ ( sK329_SY377 @ SV123 ) @ sK213_SX0 ) )
= $false )
| ( ( in @ SV123 @ sK213_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3116]) ).
thf(3192,plain,
! [SV123: $i] :
( ( ( ( SV123
= ( sK329_SY377 @ SV123 ) )
| ( in @ SV123 @ ( sK329_SY377 @ SV123 ) ) )
= $false )
| ( ( in @ SV123 @ sK213_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3116]) ).
thf(3193,plain,
! [SV124: $i] :
( ( ( ~ ( in @ ( sK330_SY378 @ SV124 ) @ sK214_SX0 ) )
= $false )
| ( ( in @ SV124 @ sK214_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3117]) ).
thf(3194,plain,
! [SV124: $i] :
( ( ( ( SV124
= ( sK330_SY378 @ SV124 ) )
| ( in @ SV124 @ ( sK330_SY378 @ SV124 ) ) )
= $false )
| ( ( in @ SV124 @ sK214_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3117]) ).
thf(3195,plain,
! [SV125: $i] :
( ( ( ~ ( in @ ( sK331_SY379 @ SV125 ) @ sK215_SX0 ) )
= $false )
| ( ( in @ SV125 @ sK215_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3118]) ).
thf(3196,plain,
! [SV125: $i] :
( ( ( ( SV125
= ( sK331_SY379 @ SV125 ) )
| ( in @ SV125 @ ( sK331_SY379 @ SV125 ) ) )
= $false )
| ( ( in @ SV125 @ sK215_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3118]) ).
thf(3197,plain,
! [SV108: $i] :
( ( ( in @ ( sK314_SY362 @ SV108 ) @ sK198_SX0 )
= $true )
| ( ( in @ SV108 @ sK198_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3119]) ).
thf(3198,plain,
! [SV108: $i] :
( ( ( SV108
= ( sK314_SY362 @ SV108 ) )
= $false )
| ( ( in @ SV108 @ sK198_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3120]) ).
thf(3199,plain,
! [SV108: $i] :
( ( ( in @ SV108 @ ( sK314_SY362 @ SV108 ) )
= $false )
| ( ( in @ SV108 @ sK198_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3120]) ).
thf(3200,plain,
! [SV109: $i] :
( ( ( in @ ( sK315_SY363 @ SV109 ) @ sK199_SX0 )
= $true )
| ( ( in @ SV109 @ sK199_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3121]) ).
thf(3201,plain,
! [SV109: $i] :
( ( ( SV109
= ( sK315_SY363 @ SV109 ) )
= $false )
| ( ( in @ SV109 @ sK199_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3122]) ).
thf(3202,plain,
! [SV109: $i] :
( ( ( in @ SV109 @ ( sK315_SY363 @ SV109 ) )
= $false )
| ( ( in @ SV109 @ sK199_SX0 )
= $false )
| ( ( in @ sK77_SY27 @ sK50_SX0 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK143_SX0 @ sK143_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3122]) ).
thf(3203,plain,
! [SV110: $i] :
( ( ( in @ ( sK316_SY364 @ SV110 ) @ sK200_SX0 )
= $true )
| ( ( in @ SV110 @ sK200_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3129]) ).
thf(3204,plain,
! [SV110: $i] :
( ( ( SV110
= ( sK316_SY364 @ SV110 ) )
= $false )
| ( ( in @ SV110 @ sK200_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3130]) ).
thf(3205,plain,
! [SV110: $i] :
( ( ( in @ SV110 @ ( sK316_SY364 @ SV110 ) )
= $false )
| ( ( in @ SV110 @ sK200_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3130]) ).
thf(3206,plain,
! [SV111: $i] :
( ( ( in @ ( sK317_SY365 @ SV111 ) @ sK201_SX0 )
= $true )
| ( ( in @ SV111 @ sK201_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3131]) ).
thf(3207,plain,
! [SV111: $i] :
( ( ( SV111
= ( sK317_SY365 @ SV111 ) )
= $false )
| ( ( in @ SV111 @ sK201_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3132]) ).
thf(3208,plain,
! [SV111: $i] :
( ( ( in @ SV111 @ ( sK317_SY365 @ SV111 ) )
= $false )
| ( ( in @ SV111 @ sK201_SX0 )
= $false )
| ( ( sK41_SX0 = sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK152_SX0 @ sK152_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3132]) ).
thf(3209,plain,
! [SV112: $i] :
( ( ( in @ ( sK318_SY366 @ SV112 ) @ sK202_SX0 )
= $true )
| ( ( in @ SV112 @ sK202_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3133]) ).
thf(3210,plain,
! [SV112: $i] :
( ( ( SV112
= ( sK318_SY366 @ SV112 ) )
= $false )
| ( ( in @ SV112 @ sK202_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3134]) ).
thf(3211,plain,
! [SV112: $i] :
( ( ( in @ SV112 @ ( sK318_SY366 @ SV112 ) )
= $false )
| ( ( in @ SV112 @ sK202_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3134]) ).
thf(3212,plain,
! [SV113: $i] :
( ( ( in @ ( sK319_SY367 @ SV113 ) @ sK203_SX0 )
= $true )
| ( ( in @ SV113 @ sK203_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3135]) ).
thf(3213,plain,
! [SV113: $i] :
( ( ( SV113
= ( sK319_SY367 @ SV113 ) )
= $false )
| ( ( in @ SV113 @ sK203_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3136]) ).
thf(3214,plain,
! [SV113: $i] :
( ( ( in @ SV113 @ ( sK319_SY367 @ SV113 ) )
= $false )
| ( ( in @ SV113 @ sK203_SX0 )
= $false )
| ( ( in @ sK41_SX0 @ sK64_SY20 )
= $false )
| ( ( in @ sK2_SX0 @ sK4_SY2 )
= $true )
| ( ( in @ sK153_SX0 @ sK153_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3136]) ).
thf(3215,plain,
! [SV114: $i] :
( ( ( in @ ( sK320_SY368 @ SV114 ) @ sK204_SX0 )
= $true )
| ( ( in @ SV114 @ sK204_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3149]) ).
thf(3216,plain,
! [SV114: $i] :
( ( ( SV114
= ( sK320_SY368 @ SV114 ) )
= $false )
| ( ( in @ SV114 @ sK204_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3150]) ).
thf(3217,plain,
! [SV114: $i] :
( ( ( in @ SV114 @ ( sK320_SY368 @ SV114 ) )
= $false )
| ( ( in @ SV114 @ sK204_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3150]) ).
thf(3218,plain,
! [SV115: $i] :
( ( ( in @ ( sK321_SY369 @ SV115 ) @ sK205_SX0 )
= $true )
| ( ( in @ SV115 @ sK205_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3151]) ).
thf(3219,plain,
! [SV115: $i] :
( ( ( SV115
= ( sK321_SY369 @ SV115 ) )
= $false )
| ( ( in @ SV115 @ sK205_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3152]) ).
thf(3220,plain,
! [SV115: $i] :
( ( ( in @ SV115 @ ( sK321_SY369 @ SV115 ) )
= $false )
| ( ( in @ SV115 @ sK205_SX0 )
= $false )
| ( ( sK42_SX0 = sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK154_SX0 @ sK154_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3152]) ).
thf(3221,plain,
! [SV116: $i] :
( ( ( in @ ( sK322_SY370 @ SV116 ) @ sK206_SX0 )
= $true )
| ( ( in @ SV116 @ sK206_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3153]) ).
thf(3222,plain,
! [SV116: $i] :
( ( ( SV116
= ( sK322_SY370 @ SV116 ) )
= $false )
| ( ( in @ SV116 @ sK206_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3154]) ).
thf(3223,plain,
! [SV116: $i] :
( ( ( in @ SV116 @ ( sK322_SY370 @ SV116 ) )
= $false )
| ( ( in @ SV116 @ sK206_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ emptyset )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3154]) ).
thf(3224,plain,
! [SV117: $i] :
( ( ( in @ ( sK323_SY371 @ SV117 ) @ sK207_SX0 )
= $true )
| ( ( in @ SV117 @ sK207_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3155]) ).
thf(3225,plain,
! [SV117: $i] :
( ( ( SV117
= ( sK323_SY371 @ SV117 ) )
= $false )
| ( ( in @ SV117 @ sK207_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3156]) ).
thf(3226,plain,
! [SV117: $i] :
( ( ( in @ SV117 @ ( sK323_SY371 @ SV117 ) )
= $false )
| ( ( in @ SV117 @ sK207_SX0 )
= $false )
| ( ( in @ sK42_SX0 @ sK65_SY21 )
= $false )
| ( ( in @ sK4_SY2 @ sK7_SY6 )
= $true )
| ( ( in @ sK155_SX0 @ sK155_SX0 )
= $true )
| ( ( subset @ sK1_SX0 @ emptyset )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3156]) ).
thf(3227,plain,
! [SV118: $i] :
( ( ( in @ ( sK324_SY372 @ SV118 ) @ sK208_SX0 )
= $true )
| ( ( in @ SV118 @ sK208_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3169]) ).
thf(3228,plain,
! [SV118: $i] :
( ( ( SV118
= ( sK324_SY372 @ SV118 ) )
= $false )
| ( ( in @ SV118 @ sK208_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3170]) ).
thf(3229,plain,
! [SV118: $i] :
( ( ( in @ SV118 @ ( sK324_SY372 @ SV118 ) )
= $false )
| ( ( in @ SV118 @ sK208_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3170]) ).
thf(3230,plain,
! [SV119: $i] :
( ( ( in @ ( sK325_SY373 @ SV119 ) @ sK209_SX0 )
= $true )
| ( ( in @ SV119 @ sK209_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3171]) ).
thf(3231,plain,
! [SV119: $i] :
( ( ( SV119
= ( sK325_SY373 @ SV119 ) )
= $false )
| ( ( in @ SV119 @ sK209_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3172]) ).
thf(3232,plain,
! [SV119: $i] :
( ( ( in @ SV119 @ ( sK325_SY373 @ SV119 ) )
= $false )
| ( ( in @ SV119 @ sK209_SX0 )
= $false )
| ( ( sK49_SX0 = sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK164_SX0 @ sK164_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3172]) ).
thf(3233,plain,
! [SV120: $i] :
( ( ( in @ ( sK326_SY374 @ SV120 ) @ sK210_SX0 )
= $true )
| ( ( in @ SV120 @ sK210_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3173]) ).
thf(3234,plain,
! [SV120: $i] :
( ( ( SV120
= ( sK326_SY374 @ SV120 ) )
= $false )
| ( ( in @ SV120 @ sK210_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3174]) ).
thf(3235,plain,
! [SV120: $i] :
( ( ( in @ SV120 @ ( sK326_SY374 @ SV120 ) )
= $false )
| ( ( in @ SV120 @ sK210_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3174]) ).
thf(3236,plain,
! [SV121: $i] :
( ( ( in @ ( sK327_SY375 @ SV121 ) @ sK211_SX0 )
= $true )
| ( ( in @ SV121 @ sK211_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3175]) ).
thf(3237,plain,
! [SV121: $i] :
( ( ( SV121
= ( sK327_SY375 @ SV121 ) )
= $false )
| ( ( in @ SV121 @ sK211_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3176]) ).
thf(3238,plain,
! [SV121: $i] :
( ( ( in @ SV121 @ ( sK327_SY375 @ SV121 ) )
= $false )
| ( ( in @ SV121 @ sK211_SX0 )
= $false )
| ( ( in @ sK49_SX0 @ sK76_SY26 )
= $false )
| ( ( in @ sK3_SX0 @ sK5_SY4 )
= $true )
| ( ( in @ sK165_SX0 @ sK165_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3176]) ).
thf(3239,plain,
! [SV122: $i] :
( ( ( in @ ( sK328_SY376 @ SV122 ) @ sK212_SX0 )
= $true )
| ( ( in @ SV122 @ sK212_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3189]) ).
thf(3240,plain,
! [SV122: $i] :
( ( ( SV122
= ( sK328_SY376 @ SV122 ) )
= $false )
| ( ( in @ SV122 @ sK212_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3190]) ).
thf(3241,plain,
! [SV122: $i] :
( ( ( in @ SV122 @ ( sK328_SY376 @ SV122 ) )
= $false )
| ( ( in @ SV122 @ sK212_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3190]) ).
thf(3242,plain,
! [SV123: $i] :
( ( ( in @ ( sK329_SY377 @ SV123 ) @ sK213_SX0 )
= $true )
| ( ( in @ SV123 @ sK213_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3191]) ).
thf(3243,plain,
! [SV123: $i] :
( ( ( SV123
= ( sK329_SY377 @ SV123 ) )
= $false )
| ( ( in @ SV123 @ sK213_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3192]) ).
thf(3244,plain,
! [SV123: $i] :
( ( ( in @ SV123 @ ( sK329_SY377 @ SV123 ) )
= $false )
| ( ( in @ SV123 @ sK213_SX0 )
= $false )
| ( ( sK50_SX0 = sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK166_SX0 @ sK166_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3192]) ).
thf(3245,plain,
! [SV124: $i] :
( ( ( in @ ( sK330_SY378 @ SV124 ) @ sK214_SX0 )
= $true )
| ( ( in @ SV124 @ sK214_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3193]) ).
thf(3246,plain,
! [SV124: $i] :
( ( ( SV124
= ( sK330_SY378 @ SV124 ) )
= $false )
| ( ( in @ SV124 @ sK214_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3194]) ).
thf(3247,plain,
! [SV124: $i] :
( ( ( in @ SV124 @ ( sK330_SY378 @ SV124 ) )
= $false )
| ( ( in @ SV124 @ sK214_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ emptyset )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3194]) ).
thf(3248,plain,
! [SV125: $i] :
( ( ( in @ ( sK331_SY379 @ SV125 ) @ sK215_SX0 )
= $true )
| ( ( in @ SV125 @ sK215_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3195]) ).
thf(3249,plain,
! [SV125: $i] :
( ( ( SV125
= ( sK331_SY379 @ SV125 ) )
= $false )
| ( ( in @ SV125 @ sK215_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3196]) ).
thf(3250,plain,
! [SV125: $i] :
( ( ( in @ SV125 @ ( sK331_SY379 @ SV125 ) )
= $false )
| ( ( in @ SV125 @ sK215_SX0 )
= $false )
| ( ( in @ sK50_SX0 @ sK77_SY27 )
= $false )
| ( ( in @ sK5_SY4 @ sK9_SY7 )
= $true )
| ( ( in @ sK167_SX0 @ sK167_SX0 )
= $true )
| ( ( in @ sK1_SX0 @ emptyset )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3196]) ).
thf(3252,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV128: $i] : $false ))]]) ).
thf(3253,plain,
! [SV127: $i > $o,SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( ~ ( SV127 @ SV5 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV126: $i] : ~ ( SV127 @ SV126 ) ))]]) ).
thf(3254,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK207_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV130: $i] : ( SV130 = sK207_SX0 ) ))]]) ).
thf(3255,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK167_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV131: $i] : ( SV131 = sK167_SX0 ) ))]]) ).
thf(3256,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK116_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV132: $i] : ( SV132 = sK116_SX0 ) ))]]) ).
thf(3257,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK175_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV133: $i] : ( SV133 = sK175_SX0 ) ))]]) ).
thf(3258,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK14_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV134: $i] : ( SV134 = sK14_SX0 ) ))]]) ).
thf(3259,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK29_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV135: $i] : ( SV135 = sK29_SX0 ) ))]]) ).
thf(3260,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK129_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV136: $i] : ( SV136 = sK129_SX0 ) ))]]) ).
thf(3261,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK142_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV137: $i] : ( SV137 = sK142_SX0 ) ))]]) ).
thf(3262,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK189_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV138: $i] : ( SV138 = sK189_SX0 ) ))]]) ).
thf(3263,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK67_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV139: $i] : ( SV139 = sK67_SX0 ) ))]]) ).
thf(3264,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK136_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV140: $i] : ( SV140 = sK136_SX0 ) ))]]) ).
thf(3265,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK203_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV141: $i] : ( SV141 = sK203_SX0 ) ))]]) ).
thf(3266,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK114_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV142: $i] : ( SV142 = sK114_SX0 ) ))]]) ).
thf(3267,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK121_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV143: $i] : ( SV143 = sK121_SX0 ) ))]]) ).
thf(3268,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK133_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV144: $i] : ( SV144 = sK133_SX0 ) ))]]) ).
thf(3269,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK61_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV145: $i] : ( SV145 = sK61_SX0 ) ))]]) ).
thf(3270,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK39_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV146: $i] : ( SV146 = sK39_SX0 ) ))]]) ).
thf(3271,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK126_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV147: $i] : ( SV147 = sK126_SX0 ) ))]]) ).
thf(3272,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK90_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV148: $i] : ( SV148 = sK90_SX0 ) ))]]) ).
thf(3273,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK172_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV149: $i] : ( SV149 = sK172_SX0 ) ))]]) ).
thf(3274,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK33_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV150: $i] : ( SV150 = sK33_SX0 ) ))]]) ).
thf(3275,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK27_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV151: $i] : ( SV151 = sK27_SX0 ) ))]]) ).
thf(3276,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK155_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV152: $i] : ( SV152 = sK155_SX0 ) ))]]) ).
thf(3277,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK83_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV153: $i] : ( SV153 = sK83_SX0 ) ))]]) ).
thf(3278,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK102_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV154: $i] : ( SV154 = sK102_SX0 ) ))]]) ).
thf(3279,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK118_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV155: $i] : ( SV155 = sK118_SX0 ) ))]]) ).
thf(3280,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK213_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV156: $i] : ( SV156 = sK213_SX0 ) ))]]) ).
thf(3281,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK73_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV157: $i] : ( SV157 = sK73_SX0 ) ))]]) ).
thf(3282,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK179_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV158: $i] : ( SV158 = sK179_SX0 ) ))]]) ).
thf(3283,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK60_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV159: $i] : ( SV159 = sK60_SX0 ) ))]]) ).
thf(3284,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK82_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV160: $i] : ( SV160 = sK82_SX0 ) ))]]) ).
thf(3285,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK164_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV161: $i] : ( SV161 = sK164_SX0 ) ))]]) ).
thf(3286,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK162_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV162: $i] : ( SV162 = sK162_SX0 ) ))]]) ).
thf(3287,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK176_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV163: $i] : ( SV163 = sK176_SX0 ) ))]]) ).
thf(3288,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK205_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV164: $i] : ( SV164 = sK205_SX0 ) ))]]) ).
thf(3289,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK74_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV165: $i] : ( SV165 = sK74_SX0 ) ))]]) ).
thf(3290,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK49_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV166: $i] : ( SV166 = sK49_SX0 ) ))]]) ).
thf(3291,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK59_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV167: $i] : ( SV167 = sK59_SX0 ) ))]]) ).
thf(3292,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK81_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV168: $i] : ( SV168 = sK81_SX0 ) ))]]) ).
thf(3293,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK58_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV169: $i] : ( SV169 = sK58_SX0 ) ))]]) ).
thf(3294,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK166_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV170: $i] : ( SV170 = sK166_SX0 ) ))]]) ).
thf(3295,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK16_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV171: $i] : ( SV171 = sK16_SX0 ) ))]]) ).
thf(3296,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK111_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV172: $i] : ( SV172 = sK111_SX0 ) ))]]) ).
thf(3297,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK170_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV173: $i] : ( SV173 = sK170_SX0 ) ))]]) ).
thf(3298,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK6_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV174: $i] : ( SV174 = sK6_SX0 ) ))]]) ).
thf(3299,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK141_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV175: $i] : ( SV175 = sK141_SX0 ) ))]]) ).
thf(3300,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK147_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV176: $i] : ( SV176 = sK147_SX0 ) ))]]) ).
thf(3301,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK35_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV177: $i] : ( SV177 = sK35_SX0 ) ))]]) ).
thf(3302,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK77_SY27 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV178: $i] : ( SV178 = sK77_SY27 ) ))]]) ).
thf(3303,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK94_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV179: $i] : ( SV179 = sK94_SX0 ) ))]]) ).
thf(3304,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK138_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV180: $i] : ( SV180 = sK138_SX0 ) ))]]) ).
thf(3305,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK182_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV181: $i] : ( SV181 = sK182_SX0 ) ))]]) ).
thf(3306,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK210_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV182: $i] : ( SV182 = sK210_SX0 ) ))]]) ).
thf(3307,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK3_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV183: $i] : ( SV183 = sK3_SX0 ) ))]]) ).
thf(3308,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK37_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV184: $i] : ( SV184 = sK37_SX0 ) ))]]) ).
thf(3309,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK195_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV185: $i] : ( SV185 = sK195_SX0 ) ))]]) ).
thf(3310,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK212_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV186: $i] : ( SV186 = sK212_SX0 ) ))]]) ).
thf(3311,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK144_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV187: $i] : ( SV187 = sK144_SX0 ) ))]]) ).
thf(3312,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK152_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV188: $i] : ( SV188 = sK152_SX0 ) ))]]) ).
thf(3313,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK36_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV189: $i] : ( SV189 = sK36_SX0 ) ))]]) ).
thf(3314,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK11_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV190: $i] : ( SV190 = sK11_SX0 ) ))]]) ).
thf(3315,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK88_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV191: $i] : ( SV191 = sK88_SX0 ) ))]]) ).
thf(3316,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK201_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV192: $i] : ( SV192 = sK201_SX0 ) ))]]) ).
thf(3317,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK107_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV193: $i] : ( SV193 = sK107_SX0 ) ))]]) ).
thf(3318,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK150_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV194: $i] : ( SV194 = sK150_SX0 ) ))]]) ).
thf(3319,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK183_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV195: $i] : ( SV195 = sK183_SX0 ) ))]]) ).
thf(3320,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK41_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV196: $i] : ( SV196 = sK41_SX0 ) ))]]) ).
thf(3321,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK32_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV197: $i] : ( SV197 = sK32_SX0 ) ))]]) ).
thf(3322,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK215_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV198: $i] : ( SV198 = sK215_SX0 ) ))]]) ).
thf(3323,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK28_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV199: $i] : ( SV199 = sK28_SX0 ) ))]]) ).
thf(3324,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK124_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV200: $i] : ( SV200 = sK124_SX0 ) ))]]) ).
thf(3325,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK119_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV201: $i] : ( SV201 = sK119_SX0 ) ))]]) ).
thf(3326,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK2_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV202: $i] : ( SV202 = sK2_SX0 ) ))]]) ).
thf(3327,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK204_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV203: $i] : ( SV203 = sK204_SX0 ) ))]]) ).
thf(3328,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK10_SY8 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV204: $i] : ( SV204 = sK10_SY8 ) ))]]) ).
thf(3329,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK66_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV205: $i] : ( SV205 = sK66_SX0 ) ))]]) ).
thf(3330,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK168_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV206: $i] : ( SV206 = sK168_SX0 ) ))]]) ).
thf(3331,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK50_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV207: $i] : ( SV207 = sK50_SX0 ) ))]]) ).
thf(3332,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK159_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV208: $i] : ( SV208 = sK159_SX0 ) ))]]) ).
thf(3333,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK122_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV209: $i] : ( SV209 = sK122_SX0 ) ))]]) ).
thf(3334,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK38_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV210: $i] : ( SV210 = sK38_SX0 ) ))]]) ).
thf(3335,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK208_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV211: $i] : ( SV211 = sK208_SX0 ) ))]]) ).
thf(3336,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK209_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV212: $i] : ( SV212 = sK209_SX0 ) ))]]) ).
thf(3337,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK1_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV213: $i] : ( SV213 = sK1_SX0 ) ))]]) ).
thf(3338,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK43_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV214: $i] : ( SV214 = sK43_SX0 ) ))]]) ).
thf(3339,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK110_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV215: $i] : ( SV215 = sK110_SX0 ) ))]]) ).
thf(3340,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK21_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV216: $i] : ( SV216 = sK21_SX0 ) ))]]) ).
thf(3341,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK98_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV217: $i] : ( SV217 = sK98_SX0 ) ))]]) ).
thf(3342,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK148_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV218: $i] : ( SV218 = sK148_SX0 ) ))]]) ).
thf(3343,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK63_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV219: $i] : ( SV219 = sK63_SX0 ) ))]]) ).
thf(3344,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK87_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV220: $i] : ( SV220 = sK87_SX0 ) ))]]) ).
thf(3345,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK199_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV221: $i] : ( SV221 = sK199_SX0 ) ))]]) ).
thf(3346,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK68_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV222: $i] : ( SV222 = sK68_SX0 ) ))]]) ).
thf(3347,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK160_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV223: $i] : ( SV223 = sK160_SX0 ) ))]]) ).
thf(3348,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK78_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV224: $i] : ( SV224 = sK78_SX0 ) ))]]) ).
thf(3349,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK64_SY20 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV225: $i] : ( SV225 = sK64_SY20 ) ))]]) ).
thf(3350,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK79_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV226: $i] : ( SV226 = sK79_SX0 ) ))]]) ).
thf(3351,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK128_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV227: $i] : ( SV227 = sK128_SX0 ) ))]]) ).
thf(3352,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK137_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV228: $i] : ( SV228 = sK137_SX0 ) ))]]) ).
thf(3353,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK192_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV229: $i] : ( SV229 = sK192_SX0 ) ))]]) ).
thf(3354,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK15_SY10 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV230: $i] : ( SV230 = sK15_SY10 ) ))]]) ).
thf(3355,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK198_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV231: $i] : ( SV231 = sK198_SX0 ) ))]]) ).
thf(3356,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK206_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV232: $i] : ( SV232 = sK206_SX0 ) ))]]) ).
thf(3357,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK65_SY21 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV233: $i] : ( SV233 = sK65_SY21 ) ))]]) ).
thf(3358,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK52_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV234: $i] : ( SV234 = sK52_SX0 ) ))]]) ).
thf(3359,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK177_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV235: $i] : ( SV235 = sK177_SX0 ) ))]]) ).
thf(3360,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK211_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV236: $i] : ( SV236 = sK211_SX0 ) ))]]) ).
thf(3361,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK194_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV237: $i] : ( SV237 = sK194_SX0 ) ))]]) ).
thf(3362,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK200_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV238: $i] : ( SV238 = sK200_SX0 ) ))]]) ).
thf(3363,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK91_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV239: $i] : ( SV239 = sK91_SX0 ) ))]]) ).
thf(3364,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK34_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV240: $i] : ( SV240 = sK34_SX0 ) ))]]) ).
thf(3365,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK97_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV241: $i] : ( SV241 = sK97_SX0 ) ))]]) ).
thf(3366,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK42_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV242: $i] : ( SV242 = sK42_SX0 ) ))]]) ).
thf(3367,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK135_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV243: $i] : ( SV243 = sK135_SX0 ) ))]]) ).
thf(3368,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK149_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV244: $i] : ( SV244 = sK149_SX0 ) ))]]) ).
thf(3369,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK143_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV245: $i] : ( SV245 = sK143_SX0 ) ))]]) ).
thf(3370,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK7_SY6 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV246: $i] : ( SV246 = sK7_SY6 ) ))]]) ).
thf(3371,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK161_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV247: $i] : ( SV247 = sK161_SX0 ) ))]]) ).
thf(3372,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK45_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV248: $i] : ( SV248 = sK45_SX0 ) ))]]) ).
thf(3373,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK51_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV249: $i] : ( SV249 = sK51_SX0 ) ))]]) ).
thf(3374,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK106_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV250: $i] : ( SV250 = sK106_SX0 ) ))]]) ).
thf(3375,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK80_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV251: $i] : ( SV251 = sK80_SX0 ) ))]]) ).
thf(3376,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK115_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV252: $i] : ( SV252 = sK115_SX0 ) ))]]) ).
thf(3377,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK8_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV253: $i] : ( SV253 = sK8_SX0 ) ))]]) ).
thf(3378,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK30_SY14 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV254: $i] : ( SV254 = sK30_SY14 ) ))]]) ).
thf(3379,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK109_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV255: $i] : ( SV255 = sK109_SX0 ) ))]]) ).
thf(3380,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK174_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV256: $i] : ( SV256 = sK174_SX0 ) ))]]) ).
thf(3381,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK53_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV257: $i] : ( SV257 = sK53_SX0 ) ))]]) ).
thf(3382,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK93_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV258: $i] : ( SV258 = sK93_SX0 ) ))]]) ).
thf(3383,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK92_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV259: $i] : ( SV259 = sK92_SX0 ) ))]]) ).
thf(3384,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK193_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV260: $i] : ( SV260 = sK193_SX0 ) ))]]) ).
thf(3385,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK20_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV261: $i] : ( SV261 = sK20_SX0 ) ))]]) ).
thf(3386,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK202_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV262: $i] : ( SV262 = sK202_SX0 ) ))]]) ).
thf(3387,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK187_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV263: $i] : ( SV263 = sK187_SX0 ) ))]]) ).
thf(3388,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK95_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV264: $i] : ( SV264 = sK95_SX0 ) ))]]) ).
thf(3389,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK153_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV265: $i] : ( SV265 = sK153_SX0 ) ))]]) ).
thf(3390,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK173_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV266: $i] : ( SV266 = sK173_SX0 ) ))]]) ).
thf(3391,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK145_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV267: $i] : ( SV267 = sK145_SX0 ) ))]]) ).
thf(3392,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK56_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV268: $i] : ( SV268 = sK56_SX0 ) ))]]) ).
thf(3393,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK120_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV269: $i] : ( SV269 = sK120_SX0 ) ))]]) ).
thf(3394,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK71_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV270: $i] : ( SV270 = sK71_SX0 ) ))]]) ).
thf(3395,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK55_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV271: $i] : ( SV271 = sK55_SX0 ) ))]]) ).
thf(3396,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK9_SY7 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV272: $i] : ( SV272 = sK9_SY7 ) ))]]) ).
thf(3397,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK101_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV273: $i] : ( SV273 = sK101_SX0 ) ))]]) ).
thf(3398,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK13_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV274: $i] : ( SV274 = sK13_SX0 ) ))]]) ).
thf(3399,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK18_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV275: $i] : ( SV275 = sK18_SX0 ) ))]]) ).
thf(3400,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK46_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV276: $i] : ( SV276 = sK46_SX0 ) ))]]) ).
thf(3401,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK4_SY2 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV277: $i] : ( SV277 = sK4_SY2 ) ))]]) ).
thf(3402,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK85_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV278: $i] : ( SV278 = sK85_SX0 ) ))]]) ).
thf(3403,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK158_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV279: $i] : ( SV279 = sK158_SX0 ) ))]]) ).
thf(3404,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK76_SY26 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV280: $i] : ( SV280 = sK76_SY26 ) ))]]) ).
thf(3405,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK132_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV281: $i] : ( SV281 = sK132_SX0 ) ))]]) ).
thf(3406,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK31_SY15 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV282: $i] : ( SV282 = sK31_SY15 ) ))]]) ).
thf(3407,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK154_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV283: $i] : ( SV283 = sK154_SX0 ) ))]]) ).
thf(3408,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK72_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV284: $i] : ( SV284 = sK72_SX0 ) ))]]) ).
thf(3409,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK19_SY11 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV285: $i] : ( SV285 = sK19_SY11 ) ))]]) ).
thf(3410,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK96_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV286: $i] : ( SV286 = sK96_SX0 ) ))]]) ).
thf(3411,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK108_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV287: $i] : ( SV287 = sK108_SX0 ) ))]]) ).
thf(3412,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK26_SY13 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV288: $i] : ( SV288 = sK26_SY13 ) ))]]) ).
thf(3413,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK70_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV289: $i] : ( SV289 = sK70_SX0 ) ))]]) ).
thf(3414,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK197_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV290: $i] : ( SV290 = sK197_SX0 ) ))]]) ).
thf(3415,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK75_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV291: $i] : ( SV291 = sK75_SX0 ) ))]]) ).
thf(3416,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK184_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV292: $i] : ( SV292 = sK184_SX0 ) ))]]) ).
thf(3417,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK22_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV293: $i] : ( SV293 = sK22_SX0 ) ))]]) ).
thf(3418,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK40_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV294: $i] : ( SV294 = sK40_SX0 ) ))]]) ).
thf(3419,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK185_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV295: $i] : ( SV295 = sK185_SX0 ) ))]]) ).
thf(3420,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK214_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV296: $i] : ( SV296 = sK214_SX0 ) ))]]) ).
thf(3421,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK127_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV297: $i] : ( SV297 = sK127_SX0 ) ))]]) ).
thf(3422,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK5_SY4 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV298: $i] : ( SV298 = sK5_SY4 ) ))]]) ).
thf(3423,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK23_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV299: $i] : ( SV299 = sK23_SX0 ) ))]]) ).
thf(3424,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK112_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV300: $i] : ( SV300 = sK112_SX0 ) ))]]) ).
thf(3425,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK151_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV301: $i] : ( SV301 = sK151_SX0 ) ))]]) ).
thf(3426,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK54_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV302: $i] : ( SV302 = sK54_SX0 ) ))]]) ).
thf(3427,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK62_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV303: $i] : ( SV303 = sK62_SX0 ) ))]]) ).
thf(3428,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK139_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV304: $i] : ( SV304 = sK139_SX0 ) ))]]) ).
thf(3429,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK104_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV305: $i] : ( SV305 = sK104_SX0 ) ))]]) ).
thf(3430,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK165_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV306: $i] : ( SV306 = sK165_SX0 ) ))]]) ).
thf(3431,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = emptyset )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV307: $i] : ( SV307 = emptyset ) ))]]) ).
thf(3432,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK146_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV308: $i] : ( SV308 = sK146_SX0 ) ))]]) ).
thf(3433,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK123_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV309: $i] : ( SV309 = sK123_SX0 ) ))]]) ).
thf(3434,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK12_SY9 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV310: $i] : ( SV310 = sK12_SY9 ) ))]]) ).
thf(3435,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK47_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV311: $i] : ( SV311 = sK47_SX0 ) ))]]) ).
thf(3436,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK125_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV312: $i] : ( SV312 = sK125_SX0 ) ))]]) ).
thf(3437,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK130_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV313: $i] : ( SV313 = sK130_SX0 ) ))]]) ).
thf(3438,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK134_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV314: $i] : ( SV314 = sK134_SX0 ) ))]]) ).
thf(3439,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK105_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV315: $i] : ( SV315 = sK105_SX0 ) ))]]) ).
thf(3440,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK178_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV316: $i] : ( SV316 = sK178_SX0 ) ))]]) ).
thf(3441,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK24_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV317: $i] : ( SV317 = sK24_SX0 ) ))]]) ).
thf(3442,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK100_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV318: $i] : ( SV318 = sK100_SX0 ) ))]]) ).
thf(3443,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK169_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV319: $i] : ( SV319 = sK169_SX0 ) ))]]) ).
thf(3444,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK171_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV320: $i] : ( SV320 = sK171_SX0 ) ))]]) ).
thf(3445,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK44_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV321: $i] : ( SV321 = sK44_SX0 ) ))]]) ).
thf(3446,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK131_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV322: $i] : ( SV322 = sK131_SX0 ) ))]]) ).
thf(3447,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK113_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV323: $i] : ( SV323 = sK113_SX0 ) ))]]) ).
thf(3448,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK25_SY12 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV324: $i] : ( SV324 = sK25_SY12 ) ))]]) ).
thf(3449,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK103_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV325: $i] : ( SV325 = sK103_SX0 ) ))]]) ).
thf(3450,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK48_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV326: $i] : ( SV326 = sK48_SX0 ) ))]]) ).
thf(3451,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK163_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV327: $i] : ( SV327 = sK163_SX0 ) ))]]) ).
thf(3452,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK188_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV328: $i] : ( SV328 = sK188_SX0 ) ))]]) ).
thf(3453,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK186_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV329: $i] : ( SV329 = sK186_SX0 ) ))]]) ).
thf(3454,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK196_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV330: $i] : ( SV330 = sK196_SX0 ) ))]]) ).
thf(3455,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK69_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV331: $i] : ( SV331 = sK69_SX0 ) ))]]) ).
thf(3456,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK117_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV332: $i] : ( SV332 = sK117_SX0 ) ))]]) ).
thf(3457,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK140_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV333: $i] : ( SV333 = sK140_SX0 ) ))]]) ).
thf(3458,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK86_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV334: $i] : ( SV334 = sK86_SX0 ) ))]]) ).
thf(3459,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK157_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV335: $i] : ( SV335 = sK157_SX0 ) ))]]) ).
thf(3460,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK17_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV336: $i] : ( SV336 = sK17_SX0 ) ))]]) ).
thf(3461,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK89_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV337: $i] : ( SV337 = sK89_SX0 ) ))]]) ).
thf(3462,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK99_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV338: $i] : ( SV338 = sK99_SX0 ) ))]]) ).
thf(3463,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK156_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV339: $i] : ( SV339 = sK156_SX0 ) ))]]) ).
thf(3464,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK57_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV340: $i] : ( SV340 = sK57_SX0 ) ))]]) ).
thf(3465,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV5 = sK84_SX0 )
= $true ) ),
inference(prim_subst,[status(thm)],[30:[bind(SV3,$thf( ^ [SV341: $i] : ( SV341 = sK84_SX0 ) ))]]) ).
thf(3466,plain,
! [SV3: $i > $o,SV5: $i] :
( ( ( SV3 @ SV5 )
= $true )
| ( ( ( SV3 @ SV5 )
= ( ~ ( in @ SV5 @ emptyset ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[30]) ).
thf(3467,plain,
! [SV5: $i,SV3: $i > $o] :
( ( ( ~ ( ( SV3 @ SV5 )
| ~ ( in @ SV5 @ emptyset ) )
| ~ ( ~ ( SV3 @ SV5 )
| ~ ~ ( in @ SV5 @ emptyset ) ) )
= $false )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3466]) ).
thf(3468,plain,
! [SV5: $i,SV3: $i > $o] :
( ( ( ( SV3 @ SV5 )
= ( ~ ( in @ SV5 @ emptyset ) ) )
= $false )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[3466]) ).
thf(3469,plain,
! [SV5: $i,SV3: $i > $o] :
( ( ( ~ ( ( SV3 @ SV5 )
| ~ ( in @ SV5 @ emptyset ) ) )
= $false )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3467]) ).
thf(3471,plain,
! [SV5: $i,SV3: $i > $o] :
( ( ( ( SV3 @ SV5 )
| ~ ( in @ SV5 @ emptyset ) )
= $true )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3469]) ).
thf(3473,plain,
! [SV5: $i,SV3: $i > $o] :
( ( ( SV3 @ SV5 )
= $true )
| ( ( ~ ( in @ SV5 @ emptyset ) )
= $true )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3471]) ).
thf(3475,plain,
! [SV3: $i > $o,SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV3 @ SV5 )
= $true )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3473]) ).
thf(3480,plain,
! [SV348: $i > $i,SV5: $i,SV347: $i > $i] :
( ( ( ~ ( in @ ( SV347 @ SV5 ) @ ( SV348 @ SV5 ) ) )
= $true )
| ( ( in @ ( SV347 @ SV5 ) @ ( SV348 @ SV5 ) )
= $false )
| ( ( in @ SV5 @ emptyset )
= $false ) ),
inference(extuni,[status(esa)],[3468:[bind(SV3,$thf( ^ [SX0: $i] : ~ ( in @ ( SV347 @ SX0 ) @ ( SV348 @ SX0 ) ) ))]]) ).
thf(3481,plain,
! [SV5: $i,SV344: $i > $o] :
( ( ( ~ ( SV344 @ SV5 ) )
= $true )
| ( ( ~ ( SV344 @ SV5 ) )
= $true )
| ( ( ~ ( in @ SV5 @ emptyset ) )
= $true ) ),
inference(extuni,[status(esa)],[3468:[bind(SV3,$thf( ^ [SX0: $i] : ~ ( SV344 @ SX0 ) ))]]) ).
thf(3484,plain,
! [SV5: $i,SV344: $i > $o] :
( ( ( SV344 @ SV5 )
= $false )
| ( ( ~ ( SV344 @ SV5 ) )
= $true )
| ( ( ~ ( in @ SV5 @ emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3481]) ).
thf(3485,plain,
! [SV348: $i > $i,SV5: $i,SV347: $i > $i] :
( ( ( in @ ( SV347 @ SV5 ) @ ( SV348 @ SV5 ) )
= $false )
| ( ( in @ ( SV347 @ SV5 ) @ ( SV348 @ SV5 ) )
= $false )
| ( ( in @ SV5 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3480]) ).
thf(3488,plain,
! [SV5: $i,SV344: $i > $o] :
( ( ( SV344 @ SV5 )
= $false )
| ( ( SV344 @ SV5 )
= $false )
| ( ( ~ ( in @ SV5 @ emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3484]) ).
thf(3490,plain,
! [SV344: $i > $o,SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV344 @ SV5 )
= $false )
| ( ( SV344 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3488]) ).
thf(3491,plain,
! [SV5: $i,SV127: $i > $o] :
( ( ( SV127 @ SV5 )
= $false )
| ( ( in @ SV5 @ emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3253]) ).
thf(3492,plain,
! [SV3: $i > $o,SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(sim,[status(thm)],[3475]) ).
thf(3493,plain,
! [SV344: $i > $o,SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( SV344 @ SV5 )
= $false ) ),
inference(sim,[status(thm)],[3490]) ).
thf(3494,plain,
! [SV348: $i > $i,SV5: $i,SV347: $i > $i] :
( ( ( in @ ( SV347 @ SV5 ) @ ( SV348 @ SV5 ) )
= $false )
| ( ( in @ SV5 @ emptyset )
= $false ) ),
inference(sim,[status(thm)],[3485]) ).
thf(3495,plain,
! [SV5: $i] :
( ( in @ SV5 @ emptyset )
= $false ),
inference(sim,[status(thm)],[3252]) ).
thf(3496,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,3495,3494,3493,3492,3491,3465,3464,3463,3462,3461,3460,3459,3458,3457,3456,3455,3454,3453,3452,3451,3450,3449,3448,3447,3446,3445,3444,3443,3442,3441,3440,3439,3438,3437,3436,3435,3434,3433,3432,3431,3430,3429,3428,3427,3426,3425,3424,3423,3422,3421,3420,3419,3418,3417,3416,3415,3414,3413,3412,3411,3410,3409,3408,3407,3406,3405,3404,3403,3402,3401,3400,3399,3398,3397,3396,3395,3394,3393,3392,3391,3390,3389,3388,3387,3386,3385,3384,3383,3382,3381,3380,3379,3378,3377,3376,3375,3374,3373,3372,3371,3370,3369,3368,3367,3366,3365,3364,3363,3362,3361,3360,3359,3358,3357,3356,3355,3354,3353,3352,3351,3350,3349,3348,3347,3346,3345,3344,3343,3342,3341,3340,3339,3338,3337,3336,3335,3334,3333,3332,3331,3330,3329,3328,3327,3326,3325,3324,3323,3322,3321,3320,3319,3318,3317,3316,3315,3314,3313,3312,3311,3310,3309,3308,3307,3306,3305,3304,3303,3302,3301,3300,3299,3298,3297,3296,3295,3294,3293,3292,3291,3290,3289,3288,3287,3286,3285,3284,3283,3282,3281,3280,3279,3278,3277,3276,3275,3274,3273,3272,3271,3270,3269,3268,3267,3266,3265,3264,3263,3262,3261,3260,3259,3258,3257,3256,3255,3254,3250,3249,3248,3247,3246,3245,3244,3243,3242,3241,3240,3239,3238,3237,3236,3235,3234,3233,3232,3231,3230,3229,3228,3227,3226,3225,3224,3223,3222,3221,3220,3219,3218,3217,3216,3215,3214,3213,3212,3211,3210,3209,3208,3207,3206,3205,3204,3203,3202,3201,3200,3199,3198,3197,3188,3187,3186,3185,3184,3183,3182,3181,3180,3179,3178,3177,3168,3167,3166,3165,3164,3163,3162,3161,3160,3159,3158,3157,3148,3147,3146,3145,3144,3143,3142,3141,3140,3139,3138,3137,3128,3127,3126,3125,3124,3123,3066,3065,3064,3063,3062,3061,3052,3051,3050,3049,3048,3047,3038,3037,3036,3035,3034,3033,3024,3023,3022,3021,3020,3019,3018,3017,3016,3015,3014,3013,3012,3011,3010,3009,3008,3007,2982,2981,2980,2979,2978,2977,2976,2975,2974,2973,2972,2971,2970,2969,2968,2967,2966,2965,2964,2963,2962,2961,2960,2959,2934,2933,2932,2931,2930,2929,2928,2927,2926,2925,2924,2923,2922,2921,2920,2919,2918,2917,2908,2907,2906,2905,2904,2903,2882,2881,2880,2879,2878,2877,2868,2867,2866,2865,2864,2863,2862,2861,2860,2859,2858,2857,2848,2847,2846,2845,2844,2843,2822,2821,2820,2819,2818,2817,2808,2807,2806,2805,2804,2803,2758,2757,2756,2755,2754,2753,2752,2751,2750,2749,2748,2747,2702,2701,2700,2699,2698,2697,2696,2695,2694,2693,2692,2691,2682,2681,2680,2679,2678,2677,2648,2647,2646,2645,2644,2643,2642,2641,2640,2639,2638,2637,2628,2627,2626,2625,2624,2623,2614,2613,2612,2611,2610,2609,2580,2579,2578,2577,2576,2575,2574,2573,2572,2571,2570,2569,2560,2559,2558,2557,2556,2555,2539,2537,2535,2533,2525,2523,2521,2519,2490,2489,2488,2487,2486,2485,2484,2483,2482,2481,2480,2479,2463,2461,2459,2457,2449,2447,2445,2443,2414,2413,2412,2411,2410,2409,2408,2407,2406,2405,2404,2403,2391,2389,2379,2377,2373,2371,2361,2359,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2318,2317,2316,2315,2314,2313,2301,2299,2289,2287,2283,2281,2271,2269,2248,2247,2246,2245,2244,2243,2242,2241,2240,2239,2238,2237,2228,2227,2226,2225,2224,2223,2206,2203,2200,2197,2184,2181,2178,2175,2118,2115,2112,2109,2096,2093,2090,2087,2034,2031,2020,2017,2015,2013,2010,2007,1996,1993,1991,1989,1960,1959,1958,1957,1956,1955,1942,1939,1928,1925,1923,1921,1918,1915,1904,1901,1899,1897,1868,1867,1866,1865,1864,1863,1859,1857,1855,1853,1813,1811,1809,1807,1777,1775,1773,1771,1731,1729,1727,1725,1697,1695,1685,1683,1670,1667,1656,1653,1651,1649,1639,1637,1613,1611,1601,1599,1586,1583,1572,1569,1567,1565,1555,1553,1524,1521,1518,1515,1478,1475,1472,1469,1459,1457,1455,1453,1432,1429,1426,1423,1386,1383,1380,1377,1367,1365,1363,1361,1344,1341,1330,1327,1325,1323,1300,1297,1286,1283,1281,1279,1277,1275,1265,1263,1248,1245,1234,1231,1229,1227,1204,1201,1190,1187,1185,1183,1181,1179,1169,1167,1100,1097,1094,1091,1081,1079,1077,1075,1016,1013,1010,1007,997,995,993,991,976,973,950,947,944,941,930,927,925,923,921,919,909,907,894,891,868,865,862,859,848,845,843,841,839,837,827,825,764,761,758,755,690,687,684,681,636,633,630,627,616,613,611,609,570,567,564,561,550,547,545,543,406,403,366,363,30,28]) ).
thf(3497,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SEU820^2 : TPTP v8.1.0. Released v3.7.0.
% 0.04/0.08 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 600
% 0.09/0.27 % DateTime : Sun Jun 19 21:49:03 EDT 2022
% 0.09/0.27 % CPUTime :
% 0.09/0.28
% 0.09/0.28 No.of.Axioms: 0
% 0.09/0.28
% 0.09/0.28 Length.of.Defs: 1753
% 0.09/0.28
% 0.09/0.28 Contains.Choice.Funs: false
% 0.09/0.28 (rf:0,axioms:0,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)...............................................................................................................................................................................................................................................................................................................
% 7.94/8.14
% 7.94/8.14 ********************************
% 7.94/8.14 * All subproblems solved! *
% 7.94/8.14 ********************************
% 7.94/8.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3496,loop_count:0,foatp_calls:2,translation:fof_full)
% 18.36/18.53
% 18.36/18.53 %**** Beginning of derivation protocol ****
% 18.36/18.53 % SZS output start CNFRefutation
% See solution above
% 18.36/18.55
% 18.36/18.55 %**** End of derivation protocol ****
% 18.36/18.55 %**** no. of clauses in derivation: 3484 ****
% 18.36/18.55 %**** clause counter: 3496 ****
% 18.36/18.55
% 18.36/18.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3496,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------