TSTP Solution File: SEU820^2 by LEO-II---1.7.0

View Problem - 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)
%------------------------------------------------------------------------------