TSTP Solution File: SEU818^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU818^2 : 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 : n017.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 12:14:59 EDT 2022
% Result : Theorem 2.73s 2.91s
% Output : CNFRefutation 33.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 354
% Syntax : Number of formulae : 7281 ( 60 unt; 346 typ; 7 def)
% Number of atoms : 162894 (54511 equ; 0 cnn)
% Maximal formula atoms : 9 ( 23 avg)
% Number of connectives : 262794 (26842 ~;60039 |; 10 &;175875 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 464 ( 464 >; 0 *; 0 +; 0 <<)
% Number of symbols : 349 ( 346 usr; 7 con; 0-2 aty)
% Number of variables : 28762 ( 5 ^28756 !; 1 ?;28762 :)
% 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_ordinalTransSet,type,
ordinalTransSet: $o ).
thf(tp_powerset,type,
powerset: $i > $i ).
thf(tp_sK100_SY8,type,
sK100_SY8: $i > $i ).
thf(tp_sK101_SY8,type,
sK101_SY8: $i > $i ).
thf(tp_sK102_SY8,type,
sK102_SY8: $i > $i ).
thf(tp_sK103_SY8,type,
sK103_SY8: $i > $i ).
thf(tp_sK104_SY8,type,
sK104_SY8: $i > $i ).
thf(tp_sK105_SY8,type,
sK105_SY8: $i > $i ).
thf(tp_sK106_SY7,type,
sK106_SY7: $i > $i ).
thf(tp_sK107_SY7,type,
sK107_SY7: $i > $i ).
thf(tp_sK108_SY8,type,
sK108_SY8: $i > $i ).
thf(tp_sK109_SY8,type,
sK109_SY8: $i > $i ).
thf(tp_sK10_SY5,type,
sK10_SY5: $i > $i ).
thf(tp_sK110_SY8,type,
sK110_SY8: $i > $i ).
thf(tp_sK111_SY8,type,
sK111_SY8: $i > $i ).
thf(tp_sK112_SY8,type,
sK112_SY8: $i > $i ).
thf(tp_sK113_SY8,type,
sK113_SY8: $i > $i ).
thf(tp_sK114_SY8,type,
sK114_SY8: $i > $i ).
thf(tp_sK115_SY8,type,
sK115_SY8: $i > $i ).
thf(tp_sK116_SY7,type,
sK116_SY7: $i > $i ).
thf(tp_sK117_SY7,type,
sK117_SY7: $i > $i ).
thf(tp_sK118_SY8,type,
sK118_SY8: $i > $i ).
thf(tp_sK119_SY8,type,
sK119_SY8: $i > $i ).
thf(tp_sK11_SY27,type,
sK11_SY27: $i > $i ).
thf(tp_sK120_SY8,type,
sK120_SY8: $i > $i ).
thf(tp_sK121_SY8,type,
sK121_SY8: $i > $i ).
thf(tp_sK122_SY8,type,
sK122_SY8: $i > $i ).
thf(tp_sK123_SY8,type,
sK123_SY8: $i > $i ).
thf(tp_sK124_SY8,type,
sK124_SY8: $i > $i ).
thf(tp_sK125_SY8,type,
sK125_SY8: $i > $i ).
thf(tp_sK126_SY8,type,
sK126_SY8: $i > $i ).
thf(tp_sK127_SY8,type,
sK127_SY8: $i > $i ).
thf(tp_sK128_SY8,type,
sK128_SY8: $i > $i ).
thf(tp_sK129_SY8,type,
sK129_SY8: $i > $i ).
thf(tp_sK12_SY5,type,
sK12_SY5: $i > $i ).
thf(tp_sK130_SY8,type,
sK130_SY8: $i > $i ).
thf(tp_sK131_SY8,type,
sK131_SY8: $i > $i ).
thf(tp_sK132_SY7,type,
sK132_SY7: $i > $i ).
thf(tp_sK133_SY7,type,
sK133_SY7: $i > $i ).
thf(tp_sK134_SY7,type,
sK134_SY7: $i > $i ).
thf(tp_sK135_SY7,type,
sK135_SY7: $i > $i ).
thf(tp_sK136_SY8,type,
sK136_SY8: $i > $i ).
thf(tp_sK137_SY8,type,
sK137_SY8: $i > $i ).
thf(tp_sK138_SY8,type,
sK138_SY8: $i > $i ).
thf(tp_sK139_SY8,type,
sK139_SY8: $i > $i ).
thf(tp_sK13_SY28,type,
sK13_SY28: $i > $i ).
thf(tp_sK140_SY8,type,
sK140_SY8: $i > $i ).
thf(tp_sK141_SY8,type,
sK141_SY8: $i > $i ).
thf(tp_sK142_SY8,type,
sK142_SY8: $i > $i ).
thf(tp_sK143_SY8,type,
sK143_SY8: $i > $i ).
thf(tp_sK144_SY7,type,
sK144_SY7: $i > $i ).
thf(tp_sK145_SY7,type,
sK145_SY7: $i > $i ).
thf(tp_sK146_SY7,type,
sK146_SY7: $i > $i ).
thf(tp_sK147_SY7,type,
sK147_SY7: $i > $i ).
thf(tp_sK148_SY8,type,
sK148_SY8: $i > $i ).
thf(tp_sK149_SY8,type,
sK149_SY8: $i > $i ).
thf(tp_sK14_SY29,type,
sK14_SY29: $i > $i ).
thf(tp_sK150_SY8,type,
sK150_SY8: $i > $i ).
thf(tp_sK151_SY8,type,
sK151_SY8: $i > $i ).
thf(tp_sK152_SY8,type,
sK152_SY8: $i > $i ).
thf(tp_sK153_SY8,type,
sK153_SY8: $i > $i ).
thf(tp_sK154_SY8,type,
sK154_SY8: $i > $i ).
thf(tp_sK155_SY8,type,
sK155_SY8: $i > $i ).
thf(tp_sK156_SY7,type,
sK156_SY7: $i > $i ).
thf(tp_sK157_SY7,type,
sK157_SY7: $i > $i ).
thf(tp_sK158_SY7,type,
sK158_SY7: $i > $i ).
thf(tp_sK159_SY7,type,
sK159_SY7: $i > $i ).
thf(tp_sK15_SY5,type,
sK15_SY5: $i > $i ).
thf(tp_sK160_SY8,type,
sK160_SY8: $i > $i ).
thf(tp_sK161_SY8,type,
sK161_SY8: $i > $i ).
thf(tp_sK162_SY8,type,
sK162_SY8: $i > $i ).
thf(tp_sK163_SY8,type,
sK163_SY8: $i > $i ).
thf(tp_sK164_SY8,type,
sK164_SY8: $i > $i ).
thf(tp_sK165_SY8,type,
sK165_SY8: $i > $i ).
thf(tp_sK166_SY8,type,
sK166_SY8: $i > $i ).
thf(tp_sK167_SY8,type,
sK167_SY8: $i > $i ).
thf(tp_sK168_SY7,type,
sK168_SY7: $i > $i ).
thf(tp_sK169_SY7,type,
sK169_SY7: $i > $i ).
thf(tp_sK16_SY30,type,
sK16_SY30: $i > $i ).
thf(tp_sK170_SY7,type,
sK170_SY7: $i > $i ).
thf(tp_sK171_SY7,type,
sK171_SY7: $i > $i ).
thf(tp_sK172_SY8,type,
sK172_SY8: $i > $i ).
thf(tp_sK173_SY8,type,
sK173_SY8: $i > $i ).
thf(tp_sK174_SY8,type,
sK174_SY8: $i > $i ).
thf(tp_sK175_SY8,type,
sK175_SY8: $i > $i ).
thf(tp_sK176_SY8,type,
sK176_SY8: $i > $i ).
thf(tp_sK177_SY8,type,
sK177_SY8: $i > $i ).
thf(tp_sK178_SY8,type,
sK178_SY8: $i > $i ).
thf(tp_sK179_SY8,type,
sK179_SY8: $i > $i ).
thf(tp_sK17_SY5,type,
sK17_SY5: $i > $i ).
thf(tp_sK180_SY8,type,
sK180_SY8: $i > $i ).
thf(tp_sK181_SY8,type,
sK181_SY8: $i > $i ).
thf(tp_sK182_SY8,type,
sK182_SY8: $i > $i ).
thf(tp_sK183_SY8,type,
sK183_SY8: $i > $i ).
thf(tp_sK184_SY93,type,
sK184_SY93: $i > $i > $i ).
thf(tp_sK185_SY94,type,
sK185_SY94: $i > $i > $i ).
thf(tp_sK186_SY8,type,
sK186_SY8: $i > $i ).
thf(tp_sK187_SY8,type,
sK187_SY8: $i > $i ).
thf(tp_sK188_SY8,type,
sK188_SY8: $i > $i ).
thf(tp_sK189_SY8,type,
sK189_SY8: $i > $i ).
thf(tp_sK18_SY7,type,
sK18_SY7: $i > $i ).
thf(tp_sK190_SY8,type,
sK190_SY8: $i > $i ).
thf(tp_sK191_SY8,type,
sK191_SY8: $i > $i ).
thf(tp_sK192_SY8,type,
sK192_SY8: $i > $i ).
thf(tp_sK193_SY8,type,
sK193_SY8: $i > $i ).
thf(tp_sK194_SY111,type,
sK194_SY111: $i > $i > $i ).
thf(tp_sK195_SY112,type,
sK195_SY112: $i > $i > $i ).
thf(tp_sK196_SY8,type,
sK196_SY8: $i > $i ).
thf(tp_sK197_SY8,type,
sK197_SY8: $i > $i ).
thf(tp_sK198_SY8,type,
sK198_SY8: $i > $i ).
thf(tp_sK199_SY8,type,
sK199_SY8: $i > $i ).
thf(tp_sK19_SY31,type,
sK19_SY31: $i > $i ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK200_SY8,type,
sK200_SY8: $i > $i ).
thf(tp_sK201_SY8,type,
sK201_SY8: $i > $i ).
thf(tp_sK202_SY8,type,
sK202_SY8: $i > $i ).
thf(tp_sK203_SY8,type,
sK203_SY8: $i > $i ).
thf(tp_sK204_SY8,type,
sK204_SY8: $i > $i ).
thf(tp_sK205_SY8,type,
sK205_SY8: $i > $i ).
thf(tp_sK206_SY8,type,
sK206_SY8: $i > $i ).
thf(tp_sK207_SY8,type,
sK207_SY8: $i > $i ).
thf(tp_sK208_SY8,type,
sK208_SY8: $i > $i ).
thf(tp_sK209_SY8,type,
sK209_SY8: $i > $i ).
thf(tp_sK20_SY5,type,
sK20_SY5: $i > $i ).
thf(tp_sK210_SY8,type,
sK210_SY8: $i > $i ).
thf(tp_sK211_SY8,type,
sK211_SY8: $i > $i ).
thf(tp_sK212_SY8,type,
sK212_SY8: $i > $i ).
thf(tp_sK213_SY8,type,
sK213_SY8: $i > $i ).
thf(tp_sK214_SY8,type,
sK214_SY8: $i > $i ).
thf(tp_sK215_SY8,type,
sK215_SY8: $i > $i ).
thf(tp_sK216_SY8,type,
sK216_SY8: $i > $i ).
thf(tp_sK217_SY8,type,
sK217_SY8: $i > $i ).
thf(tp_sK218_SY8,type,
sK218_SY8: $i > $i ).
thf(tp_sK219_SY8,type,
sK219_SY8: $i > $i ).
thf(tp_sK21_SY5,type,
sK21_SY5: $i > $i ).
thf(tp_sK220_SY161,type,
sK220_SY161: $i > $i > $i ).
thf(tp_sK221_SY162,type,
sK221_SY162: $i > $i > $i ).
thf(tp_sK222_SY167,type,
sK222_SY167: $i > $i > $i ).
thf(tp_sK223_SY168,type,
sK223_SY168: $i > $i > $i ).
thf(tp_sK224_SY169,type,
sK224_SY169: $i > $i > $i ).
thf(tp_sK225_SY170,type,
sK225_SY170: $i > $i > $i ).
thf(tp_sK226_SY187,type,
sK226_SY187: $i > $i > $i ).
thf(tp_sK227_SY188,type,
sK227_SY188: $i > $i > $i ).
thf(tp_sK228_SY193,type,
sK228_SY193: $i > $i > $i ).
thf(tp_sK229_SY194,type,
sK229_SY194: $i > $i > $i ).
thf(tp_sK22_SY7,type,
sK22_SY7: $i > $i ).
thf(tp_sK230_SY195,type,
sK230_SY195: $i > $i > $i ).
thf(tp_sK231_SY196,type,
sK231_SY196: $i > $i > $i ).
thf(tp_sK232_SY215,type,
sK232_SY215: $i > $i > $i ).
thf(tp_sK233_SY216,type,
sK233_SY216: $i > $i > $i ).
thf(tp_sK234_SY217,type,
sK234_SY217: $i > $i > $i ).
thf(tp_sK235_SY218,type,
sK235_SY218: $i > $i > $i ).
thf(tp_sK236_SY249,type,
sK236_SY249: $i > $i > $i ).
thf(tp_sK237_SY250,type,
sK237_SY250: $i > $i > $i ).
thf(tp_sK238_SY251,type,
sK238_SY251: $i > $i > $i ).
thf(tp_sK239_SY252,type,
sK239_SY252: $i > $i > $i ).
thf(tp_sK23_SY32,type,
sK23_SY32: $i > $i ).
thf(tp_sK240_SY285,type,
sK240_SY285: $i > $i > $i ).
thf(tp_sK241_SY286,type,
sK241_SY286: $i > $i > $i ).
thf(tp_sK242_SY291,type,
sK242_SY291: $i > $i > $i ).
thf(tp_sK243_SY292,type,
sK243_SY292: $i > $i > $i ).
thf(tp_sK244_SY293,type,
sK244_SY293: $i > $i > $i ).
thf(tp_sK245_SY294,type,
sK245_SY294: $i > $i > $i ).
thf(tp_sK246_SY303,type,
sK246_SY303: $i > $i > $i ).
thf(tp_sK247_SY304,type,
sK247_SY304: $i > $i > $i ).
thf(tp_sK248_SY309,type,
sK248_SY309: $i > $i > $i ).
thf(tp_sK249_SY310,type,
sK249_SY310: $i > $i > $i ).
thf(tp_sK24_SY5,type,
sK24_SY5: $i > $i ).
thf(tp_sK250_SY315,type,
sK250_SY315: $i > $i > $i ).
thf(tp_sK251_SY316,type,
sK251_SY316: $i > $i > $i ).
thf(tp_sK252_SY317,type,
sK252_SY317: $i > $i > $i ).
thf(tp_sK253_SY318,type,
sK253_SY318: $i > $i > $i ).
thf(tp_sK254_SY327,type,
sK254_SY327: $i > $i > $i ).
thf(tp_sK255_SY328,type,
sK255_SY328: $i > $i > $i ).
thf(tp_sK256_SY331,type,
sK256_SY331: $i > $i > $i ).
thf(tp_sK257_SY332,type,
sK257_SY332: $i > $i > $i ).
thf(tp_sK258_SY333,type,
sK258_SY333: $i > $i > $i ).
thf(tp_sK259_SY334,type,
sK259_SY334: $i > $i > $i ).
thf(tp_sK25_SY5,type,
sK25_SY5: $i > $i ).
thf(tp_sK260_SY351,type,
sK260_SY351: $i > $i > $i ).
thf(tp_sK261_SY352,type,
sK261_SY352: $i > $i > $i ).
thf(tp_sK262_SY353,type,
sK262_SY353: $i > $i > $i ).
thf(tp_sK263_SY354,type,
sK263_SY354: $i > $i > $i ).
thf(tp_sK264_SY373,type,
sK264_SY373: $i > $i > $i ).
thf(tp_sK265_SY374,type,
sK265_SY374: $i > $i > $i ).
thf(tp_sK266_SY379,type,
sK266_SY379: $i > $i > $i ).
thf(tp_sK267_SY380,type,
sK267_SY380: $i > $i > $i ).
thf(tp_sK268_SY397,type,
sK268_SY397: $i > $i > $i ).
thf(tp_sK269_SY398,type,
sK269_SY398: $i > $i > $i ).
thf(tp_sK26_SY7,type,
sK26_SY7: $i > $i ).
thf(tp_sK270_SY403,type,
sK270_SY403: $i > $i > $i ).
thf(tp_sK271_SY404,type,
sK271_SY404: $i > $i > $i ).
thf(tp_sK272_SY409,type,
sK272_SY409: $i > $i > $i ).
thf(tp_sK273_SY410,type,
sK273_SY410: $i > $i > $i ).
thf(tp_sK274_SY415,type,
sK274_SY415: $i > $i > $i ).
thf(tp_sK275_SY416,type,
sK275_SY416: $i > $i > $i ).
thf(tp_sK276_SY433,type,
sK276_SY433: $i > $i > $i ).
thf(tp_sK277_SY434,type,
sK277_SY434: $i > $i > $i ).
thf(tp_sK278_SY439,type,
sK278_SY439: $i > $i > $i ).
thf(tp_sK279_SY440,type,
sK279_SY440: $i > $i > $i ).
thf(tp_sK27_SY7,type,
sK27_SY7: $i > $i ).
thf(tp_sK280_SY443,type,
sK280_SY443: $i > $i > $i ).
thf(tp_sK281_SY444,type,
sK281_SY444: $i > $i > $i ).
thf(tp_sK282_SY445,type,
sK282_SY445: $i > $i > $i ).
thf(tp_sK283_SY446,type,
sK283_SY446: $i > $i > $i ).
thf(tp_sK284_SY471,type,
sK284_SY471: $i > $i > $i ).
thf(tp_sK285_SY472,type,
sK285_SY472: $i > $i > $i ).
thf(tp_sK286_SY473,type,
sK286_SY473: $i > $i > $i ).
thf(tp_sK287_SY474,type,
sK287_SY474: $i > $i > $i ).
thf(tp_sK288_SY479,type,
sK288_SY479: $i > $i > $i ).
thf(tp_sK289_SY480,type,
sK289_SY480: $i > $i > $i ).
thf(tp_sK28_SY7,type,
sK28_SY7: $i > $i ).
thf(tp_sK290_SY481,type,
sK290_SY481: $i > $i > $i ).
thf(tp_sK291_SY482,type,
sK291_SY482: $i > $i > $i ).
thf(tp_sK292_SY507,type,
sK292_SY507: $i > $i > $i ).
thf(tp_sK293_SY508,type,
sK293_SY508: $i > $i > $i ).
thf(tp_sK294_SY509,type,
sK294_SY509: $i > $i > $i ).
thf(tp_sK295_SY510,type,
sK295_SY510: $i > $i > $i ).
thf(tp_sK296_SY517,type,
sK296_SY517: $i > $i > $i ).
thf(tp_sK297_SY518,type,
sK297_SY518: $i > $i > $i ).
thf(tp_sK298_SY519,type,
sK298_SY519: $i > $i > $i ).
thf(tp_sK299_SY520,type,
sK299_SY520: $i > $i > $i ).
thf(tp_sK29_SY33,type,
sK29_SY33: $i > $i ).
thf(tp_sK2_SY0,type,
sK2_SY0: $i ).
thf(tp_sK300_SY529,type,
sK300_SY529: $i > $i > $i ).
thf(tp_sK301_SY530,type,
sK301_SY530: $i > $i > $i ).
thf(tp_sK302_SY531,type,
sK302_SY531: $i > $i > $i ).
thf(tp_sK303_SY532,type,
sK303_SY532: $i > $i > $i ).
thf(tp_sK304_SY573,type,
sK304_SY573: $i > $i > $i ).
thf(tp_sK305_SY574,type,
sK305_SY574: $i > $i > $i ).
thf(tp_sK306_SY579,type,
sK306_SY579: $i > $i > $i ).
thf(tp_sK307_SY580,type,
sK307_SY580: $i > $i > $i ).
thf(tp_sK308_SY581,type,
sK308_SY581: $i > $i > $i ).
thf(tp_sK309_SY582,type,
sK309_SY582: $i > $i > $i ).
thf(tp_sK30_SY34,type,
sK30_SY34: $i > $i ).
thf(tp_sK310_SY587,type,
sK310_SY587: $i > $i > $i ).
thf(tp_sK311_SY588,type,
sK311_SY588: $i > $i > $i ).
thf(tp_sK312_SY589,type,
sK312_SY589: $i > $i > $i ).
thf(tp_sK313_SY590,type,
sK313_SY590: $i > $i > $i ).
thf(tp_sK314_SY595,type,
sK314_SY595: $i > $i > $i ).
thf(tp_sK315_SY596,type,
sK315_SY596: $i > $i > $i ).
thf(tp_sK316_SY597,type,
sK316_SY597: $i > $i > $i ).
thf(tp_sK317_SY598,type,
sK317_SY598: $i > $i > $i ).
thf(tp_sK318_SY603,type,
sK318_SY603: $i > $i > $i ).
thf(tp_sK319_SY604,type,
sK319_SY604: $i > $i > $i ).
thf(tp_sK31_SY7,type,
sK31_SY7: $i > $i ).
thf(tp_sK320_SY625,type,
sK320_SY625: $i > $i > $i ).
thf(tp_sK321_SY626,type,
sK321_SY626: $i > $i > $i ).
thf(tp_sK322_SY627,type,
sK322_SY627: $i > $i > $i ).
thf(tp_sK323_SY628,type,
sK323_SY628: $i > $i > $i ).
thf(tp_sK324_SY633,type,
sK324_SY633: $i > $i > $i ).
thf(tp_sK325_SY634,type,
sK325_SY634: $i > $i > $i ).
thf(tp_sK326_SY635,type,
sK326_SY635: $i > $i > $i ).
thf(tp_sK327_SY636,type,
sK327_SY636: $i > $i > $i ).
thf(tp_sK328_SY659,type,
sK328_SY659: $i > $i > $i ).
thf(tp_sK329_SY660,type,
sK329_SY660: $i > $i > $i ).
thf(tp_sK32_SY7,type,
sK32_SY7: $i > $i ).
thf(tp_sK330_SY661,type,
sK330_SY661: $i > $i > $i ).
thf(tp_sK331_SY662,type,
sK331_SY662: $i > $i > $i ).
thf(tp_sK332_SY667,type,
sK332_SY667: $i > $i > $i ).
thf(tp_sK333_SY668,type,
sK333_SY668: $i > $i > $i ).
thf(tp_sK334_SY669,type,
sK334_SY669: $i > $i > $i ).
thf(tp_sK335_SY670,type,
sK335_SY670: $i > $i > $i ).
thf(tp_sK33_SY7,type,
sK33_SY7: $i > $i ).
thf(tp_sK34_SY35,type,
sK34_SY35: $i > $i ).
thf(tp_sK35_SY36,type,
sK35_SY36: $i > $i ).
thf(tp_sK36_SY7,type,
sK36_SY7: $i > $i ).
thf(tp_sK37_SY7,type,
sK37_SY7: $i > $i ).
thf(tp_sK38_SY7,type,
sK38_SY7: $i > $i ).
thf(tp_sK39_SY7,type,
sK39_SY7: $i > $i ).
thf(tp_sK3_SY15,type,
sK3_SY15: $i > $i > $i ).
thf(tp_sK40_SY8,type,
sK40_SY8: $i > $i ).
thf(tp_sK41_SY8,type,
sK41_SY8: $i > $i ).
thf(tp_sK42_SY7,type,
sK42_SY7: $i > $i ).
thf(tp_sK43_SY7,type,
sK43_SY7: $i > $i ).
thf(tp_sK44_SY7,type,
sK44_SY7: $i > $i ).
thf(tp_sK45_SY5,type,
sK45_SY5: $i > $i ).
thf(tp_sK46_SY5,type,
sK46_SY5: $i > $i ).
thf(tp_sK47_SY7,type,
sK47_SY7: $i > $i ).
thf(tp_sK48_SY8,type,
sK48_SY8: $i > $i ).
thf(tp_sK49_SY8,type,
sK49_SY8: $i > $i ).
thf(tp_sK4_SY1,type,
sK4_SY1: $i > $i ).
thf(tp_sK50_SY7,type,
sK50_SY7: $i > $i ).
thf(tp_sK51_SY7,type,
sK51_SY7: $i > $i ).
thf(tp_sK52_SY7,type,
sK52_SY7: $i > $i ).
thf(tp_sK53_SY5,type,
sK53_SY5: $i > $i ).
thf(tp_sK54_SY5,type,
sK54_SY5: $i > $i ).
thf(tp_sK55_SY7,type,
sK55_SY7: $i > $i ).
thf(tp_sK56_SY7,type,
sK56_SY7: $i > $i ).
thf(tp_sK57_SY7,type,
sK57_SY7: $i > $i ).
thf(tp_sK58_SY7,type,
sK58_SY7: $i > $i ).
thf(tp_sK59_SY7,type,
sK59_SY7: $i > $i ).
thf(tp_sK5_SY16,type,
sK5_SY16: $i > $i ).
thf(tp_sK60_SY8,type,
sK60_SY8: $i > $i ).
thf(tp_sK61_SY8,type,
sK61_SY8: $i > $i ).
thf(tp_sK62_SY8,type,
sK62_SY8: $i > $i ).
thf(tp_sK63_SY8,type,
sK63_SY8: $i > $i ).
thf(tp_sK64_SY8,type,
sK64_SY8: $i > $i ).
thf(tp_sK65_SY8,type,
sK65_SY8: $i > $i ).
thf(tp_sK66_SY7,type,
sK66_SY7: $i > $i ).
thf(tp_sK67_SY7,type,
sK67_SY7: $i > $i ).
thf(tp_sK68_SY41,type,
sK68_SY41: $i > $i ).
thf(tp_sK69_SY42,type,
sK69_SY42: $i > $i ).
thf(tp_sK6_SY2,type,
sK6_SY2: $i > $i ).
thf(tp_sK70_SY7,type,
sK70_SY7: $i > $i ).
thf(tp_sK71_SY7,type,
sK71_SY7: $i > $i ).
thf(tp_sK72_SY8,type,
sK72_SY8: $i > $i ).
thf(tp_sK73_SY8,type,
sK73_SY8: $i > $i ).
thf(tp_sK74_SY8,type,
sK74_SY8: $i > $i ).
thf(tp_sK75_SY8,type,
sK75_SY8: $i > $i ).
thf(tp_sK76_SY8,type,
sK76_SY8: $i > $i ).
thf(tp_sK77_SY8,type,
sK77_SY8: $i > $i ).
thf(tp_sK78_SY7,type,
sK78_SY7: $i > $i ).
thf(tp_sK79_SY7,type,
sK79_SY7: $i > $i ).
thf(tp_sK7_SY2,type,
sK7_SY2: $i > $i ).
thf(tp_sK80_SY47,type,
sK80_SY47: $i > $i ).
thf(tp_sK81_SY48,type,
sK81_SY48: $i > $i ).
thf(tp_sK82_SY7,type,
sK82_SY7: $i > $i ).
thf(tp_sK83_SY7,type,
sK83_SY7: $i > $i ).
thf(tp_sK84_SY8,type,
sK84_SY8: $i > $i ).
thf(tp_sK85_SY8,type,
sK85_SY8: $i > $i ).
thf(tp_sK86_SY8,type,
sK86_SY8: $i > $i ).
thf(tp_sK87_SY8,type,
sK87_SY8: $i > $i ).
thf(tp_sK88_SY7,type,
sK88_SY7: $i > $i ).
thf(tp_sK89_SY7,type,
sK89_SY7: $i > $i ).
thf(tp_sK8_SY22,type,
sK8_SY22: $i > $i ).
thf(tp_sK90_SY7,type,
sK90_SY7: $i > $i ).
thf(tp_sK91_SY7,type,
sK91_SY7: $i > $i ).
thf(tp_sK92_SY8,type,
sK92_SY8: $i > $i ).
thf(tp_sK93_SY8,type,
sK93_SY8: $i > $i ).
thf(tp_sK94_SY8,type,
sK94_SY8: $i > $i ).
thf(tp_sK95_SY8,type,
sK95_SY8: $i > $i ).
thf(tp_sK96_SY7,type,
sK96_SY7: $i > $i ).
thf(tp_sK97_SY7,type,
sK97_SY7: $i > $i ).
thf(tp_sK98_SY7,type,
sK98_SY7: $i > $i ).
thf(tp_sK99_SY7,type,
sK99_SY7: $i > $i ).
thf(tp_sK9_SY25,type,
sK9_SY25: $i > $i ).
thf(tp_stricttotalorderedByIn,type,
stricttotalorderedByIn: $i > $o ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(tp_subsetI1,type,
subsetI1: $o ).
thf(tp_transitiveset,type,
transitiveset: $i > $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(ordinalTransSet,definition,
( ordinalTransSet
= ( ! [X: $i] :
( ( ordinal @ X )
=> ! [Xx: $i,A: $i] :
( ( in @ A @ X )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ X ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinalTransSet) ).
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(subsetI1,definition,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI1) ).
thf(transitiveset,definition,
( transitiveset
= ( ^ [A: $i] :
! [X: $i] :
( ( in @ X @ A )
=> ( subset @ X @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitiveset) ).
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,
( subsetI1
=> ( ordinalTransSet
=> ! [X: $i] :
( ( ordinal @ X )
=> ! [A: $i] :
( ( in @ A @ X )
=> ( subset @ A @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinalTransSet1) ).
thf(2,negated_conjecture,
( ( subsetI1
=> ( ordinalTransSet
=> ! [X: $i] :
( ( ordinal @ X )
=> ! [A: $i] :
( ( in @ A @ X )
=> ( subset @ A @ X ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
subsetI1 = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(4,plain,
ordinalTransSet = $true,
inference(standard_cnf,[status(thm)],[2]) ).
thf(5,plain,
( ( ! [X: $i] :
( ( ordinal @ X )
=> ! [A: $i] :
( ( in @ A @ X )
=> ( subset @ A @ X ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[2]) ).
thf(6,plain,
( ( ~ ! [X: $i] :
( ( ordinal @ X )
=> ! [A: $i] :
( ( in @ A @ X )
=> ( subset @ A @ X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ordinal @ sK1_X )
& ( in @ sK2_SY0 @ sK1_X )
& ~ ( subset @ sK2_SY0 @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
ordinalTransSet = $true,
inference(copy,[status(thm)],[4]) ).
thf(9,plain,
subsetI1 = $true,
inference(copy,[status(thm)],[3]) ).
thf(10,plain,
( ( ( ordinal @ sK1_X )
& ( in @ sK2_SY0 @ sK1_X )
& ~ ( subset @ sK2_SY0 @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ( subset @ SX1 @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ! [SX3: $i] :
( ~ ( in @ SX3 @ SX0 )
| ~ ~ ( ~ ( in @ SX1 @ SX2 )
| ~ ( in @ SX2 @ SX3 ) )
| ( in @ SX1 @ SX3 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 )
| ( in @ SX2 @ SX1 ) ) ) )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ SX0 )
| ~ ( in @ SX1 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( in @ SX1 @ ( powerset @ SX0 ) )
| ~ ( ( SX1 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX1 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
| ! [SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( in @ SX1 @ SX2 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,nonempty,ordinal,ordinalTransSet,stricttotalorderedByIn,subsetI1,transitiveset,wellorderedByIn]) ).
thf(12,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,nonempty,ordinal,ordinalTransSet,stricttotalorderedByIn,subsetI1,transitiveset,wellorderedByIn]) ).
thf(13,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ( subset @ SX0 @ sK1_X ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ sK1_X ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
| ~ ~ ( ~ ( in @ sK2_SY0 @ sK1_X )
| ~ ~ ( subset @ sK2_SY0 @ sK1_X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,nonempty,ordinal,ordinalTransSet,stricttotalorderedByIn,subsetI1,transitiveset,wellorderedByIn]) ).
thf(14,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ! [SY1: $i] :
( ~ ( in @ SY1 @ SV1 )
| ( subset @ SY1 @ SV1 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
| ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(15,plain,
! [SV2: $i] :
( ( ! [SY13: $i] :
( ~ ! [SY14: $i] :
( ~ ( in @ SY14 @ SV2 )
| ( in @ SY14 @ SY13 ) )
| ( subset @ SV2 @ SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(16,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ( subset @ SX0 @ sK1_X ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ sK1_X ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
| ~ ~ ( ~ ( in @ sK2_SY0 @ sK1_X )
| ~ ~ ( subset @ sK2_SY0 @ sK1_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(17,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY1: $i] :
( ~ ( in @ SY1 @ SV1 )
| ( subset @ SY1 @ SV1 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) ) )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV3: $i,SV2: $i] :
( ( ~ ! [SY15: $i] :
( ~ ( in @ SY15 @ SV2 )
| ( in @ SY15 @ SV3 ) )
| ( subset @ SV2 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ( subset @ SX0 @ sK1_X ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ sK1_X ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ~ ( ~ ( in @ sK2_SY0 @ sK1_X )
| ~ ~ ( subset @ sK2_SY0 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(21,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY1: $i] :
( ~ ( in @ SY1 @ SV1 )
| ( subset @ SY1 @ SV1 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) ) )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(22,plain,
! [SV3: $i,SV2: $i] :
( ( ( ~ ! [SY15: $i] :
( ~ ( in @ SY15 @ SV2 )
| ( in @ SY15 @ SV3 ) ) )
= $true )
| ( ( subset @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ( subset @ SX0 @ sK1_X ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ sK1_X ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( ~ ( in @ sK2_SY0 @ sK1_X )
| ~ ~ ( subset @ sK2_SY0 @ sK1_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV1: $i] :
( ( ( ~ ! [SY1: $i] :
( ~ ( in @ SY1 @ SV1 )
| ( subset @ SY1 @ SV1 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
! [SV3: $i,SV2: $i] :
( ( ( ! [SY15: $i] :
( ~ ( in @ SY15 @ SV2 )
| ( in @ SY15 @ SV3 ) ) )
= $false )
| ( ( subset @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ( subset @ SX0 @ sK1_X ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ sK1_X ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( in @ sK2_SY0 @ sK1_X )
| ~ ~ ( subset @ sK2_SY0 @ sK1_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: $i] :
( ( ( ~ ! [SY1: $i] :
( ~ ( in @ SY1 @ SV1 )
| ( subset @ SY1 @ SV1 ) ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV2: $i,SV3: $i] :
( ( ( ~ ( in @ ( sK3_SY15 @ SV3 @ SV2 ) @ SV2 )
| ( in @ ( sK3_SY15 @ SV3 @ SV2 ) @ SV3 ) )
= $false )
| ( ( subset @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[26]) ).
thf(31,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ( subset @ SX0 @ sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ sK1_X ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(33,plain,
( ( ~ ( in @ sK2_SY0 @ sK1_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ~ ( subset @ sK2_SY0 @ sK1_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(35,plain,
! [SV1: $i] :
( ( ( ! [SY1: $i] :
( ~ ( in @ SY1 @ SV1 )
| ( subset @ SY1 @ SV1 ) ) )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV2: $i,SV3: $i] :
( ( ( ~ ( in @ ( sK3_SY15 @ SV3 @ SV2 ) @ SV2 ) )
= $false )
| ( ( subset @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(37,plain,
! [SV2: $i,SV3: $i] :
( ( ( in @ ( sK3_SY15 @ SV3 @ SV2 ) @ SV3 )
= $false )
| ( ( subset @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(38,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ( subset @ SX0 @ sK1_X ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(39,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ sK1_X ) )
| ~ ( ( 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(40,plain,
( ( in @ sK2_SY0 @ sK1_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(41,plain,
( ( ~ ( subset @ sK2_SY0 @ sK1_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(42,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
| ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[35]) ).
thf(43,plain,
! [SV2: $i,SV3: $i] :
( ( ( in @ ( sK3_SY15 @ SV3 @ SV2 ) @ SV2 )
= $true )
| ( ( subset @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(44,plain,
! [SV4: $i] :
( ( ~ ( in @ SV4 @ sK1_X )
| ( subset @ SV4 @ sK1_X ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ sK1_X ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(46,plain,
( ( subset @ sK2_SY0 @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK4_SY1 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(48,plain,
! [SV1: $i] :
( ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(49,plain,
! [SV4: $i] :
( ( ( ~ ( in @ SV4 @ sK1_X ) )
= $true )
| ( ( subset @ SV4 @ sK1_X )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(50,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(51,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ sK1_X ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV1: $i] :
( ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(53,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV4: $i] :
( ( ( in @ SV4 @ sK1_X )
= $false )
| ( ( subset @ SV4 @ sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(55,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(56,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ ( powerset @ sK1_X ) )
| ~ ( ( SX0 != emptyset ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( in @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( SX1 = SX2 )
| ( in @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(57,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) ) )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(58,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(59,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV5: $i] :
( ( ~ ( in @ SV5 @ ( powerset @ sK1_X ) )
| ~ ( ( SV5 != emptyset ) )
| ~ ! [SY16: $i] :
~ ~ ( ~ ( in @ SY16 @ SV5 )
| ~ ! [SY17: $i] :
( ~ ( in @ SY17 @ SV5 )
| ( SY16 = SY17 )
| ( in @ SY16 @ SY17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(61,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
| ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(62,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(63,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(64,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(65,plain,
! [SV5: $i] :
( ( ( ~ ( in @ SV5 @ ( powerset @ sK1_X ) ) )
= $true )
| ( ( ~ ( ( SV5 != emptyset ) )
| ~ ! [SY16: $i] :
~ ~ ( ~ ( in @ SY16 @ SV5 )
| ~ ! [SY17: $i] :
( ~ ( in @ SY17 @ SV5 )
| ( SY16 = SY17 )
| ( in @ SY16 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(66,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(68,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(69,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ~ ( in @ SX0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(70,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false )
| ( ( ~ ( ( SV5 != emptyset ) )
| ~ ! [SY16: $i] :
~ ~ ( ~ ( in @ SY16 @ SV5 )
| ~ ! [SY17: $i] :
( ~ ( in @ SY17 @ SV5 )
| ( SY16 = SY17 )
| ( in @ SY16 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(73,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(74,plain,
! [SV6: $i] :
( ( ~ ( in @ SV6 @ sK1_X )
| ~ ( in @ SV6 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV5: $i] :
( ( ( ~ ( ( SV5 != emptyset ) ) )
= $true )
| ( ( ~ ! [SY16: $i] :
~ ~ ( ~ ( in @ SY16 @ SV5 )
| ~ ! [SY17: $i] :
( ~ ( in @ SY17 @ SV5 )
| ( SY16 = SY17 )
| ( in @ SY16 @ SY17 ) ) ) )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(76,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
| ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(77,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(78,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(79,plain,
( ( ~ ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(80,plain,
! [SV6: $i] :
( ( ( ~ ( in @ SV6 @ sK1_X ) )
= $true )
| ( ( ~ ( in @ SV6 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(81,plain,
! [SV5: $i] :
( ( ( ( SV5 != emptyset ) )
= $false )
| ( ( ~ ! [SY16: $i] :
~ ~ ( ~ ( in @ SY16 @ SV5 )
| ~ ! [SY17: $i] :
( ~ ( in @ SY17 @ SV5 )
| ( SY16 = SY17 )
| ( in @ SY16 @ SY17 ) ) ) )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(82,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(83,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(84,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ sK1_X )
| ~ ~ ( ~ ( in @ SX0 @ SX1 )
| ~ ( in @ SX1 @ SX2 ) )
| ( in @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(85,plain,
( ( ! [SX0: $i] :
( ~ ( in @ SX0 @ sK1_X )
| ! [SX1: $i] :
( ~ ( in @ SX1 @ sK1_X )
| ( SX0 = SX1 )
| ( in @ SX0 @ SX1 )
| ( in @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(86,plain,
! [SV6: $i] :
( ( ( in @ SV6 @ sK1_X )
= $false )
| ( ( ~ ( in @ SV6 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV5: $i] :
( ( ( SV5 = emptyset )
= $true )
| ( ( ~ ! [SY16: $i] :
~ ~ ( ~ ( in @ SY16 @ SV5 )
| ~ ! [SY17: $i] :
( ~ ( in @ SY17 @ SV5 )
| ( SY16 = SY17 )
| ( in @ SY16 @ SY17 ) ) ) )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(88,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV1: $i] :
( ( ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(90,plain,
! [SV7: $i] :
( ( ~ ( in @ SV7 @ sK1_X )
| ! [SY18: $i] :
( ~ ( in @ SY18 @ sK1_X )
| ! [SY19: $i] :
( ~ ( in @ SY19 @ sK1_X )
| ~ ~ ( ~ ( in @ SV7 @ SY18 )
| ~ ( in @ SY18 @ SY19 ) )
| ( in @ SV7 @ SY19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV8: $i] :
( ( ~ ( in @ SV8 @ sK1_X )
| ! [SY20: $i] :
( ~ ( in @ SY20 @ sK1_X )
| ( SV8 = SY20 )
| ( in @ SV8 @ SY20 )
| ( in @ SY20 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(92,plain,
! [SV6: $i] :
( ( ( in @ SV6 @ SV6 )
= $false )
| ( ( in @ SV6 @ sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(93,plain,
! [SV5: $i] :
( ( ( ! [SY16: $i] :
~ ~ ( ~ ( in @ SY16 @ SV5 )
| ~ ! [SY17: $i] :
( ~ ( in @ SY17 @ SV5 )
| ( SY16 = SY17 )
| ( in @ SY16 @ SY17 ) ) ) )
= $false )
| ( ( SV5 = emptyset )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(94,plain,
! [SV1: $i] :
( ( ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) )
| ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(95,plain,
! [SV1: $i] :
( ( ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) ) )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(96,plain,
! [SV7: $i] :
( ( ( ~ ( in @ SV7 @ sK1_X ) )
= $true )
| ( ( ! [SY18: $i] :
( ~ ( in @ SY18 @ sK1_X )
| ! [SY19: $i] :
( ~ ( in @ SY19 @ sK1_X )
| ~ ~ ( ~ ( in @ SV7 @ SY18 )
| ~ ( in @ SY18 @ SY19 ) )
| ( in @ SV7 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(97,plain,
! [SV8: $i] :
( ( ( ~ ( in @ SV8 @ sK1_X ) )
= $true )
| ( ( ! [SY20: $i] :
( ~ ( in @ SY20 @ sK1_X )
| ( SV8 = SY20 )
| ( in @ SV8 @ SY20 )
| ( in @ SY20 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(98,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK5_SY16 @ SV5 ) @ SV5 )
| ~ ! [SY21: $i] :
( ~ ( in @ SY21 @ SV5 )
| ( ( sK5_SY16 @ SV5 )
= SY21 )
| ( in @ ( sK5_SY16 @ SV5 ) @ SY21 ) ) ) )
= $false )
| ( ( SV5 = emptyset )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[93]) ).
thf(99,plain,
! [SV1: $i] :
( ( ( ~ ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) ) )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(100,plain,
! [SV1: $i] :
( ( ( ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(101,plain,
! [SV7: $i] :
( ( ( in @ SV7 @ sK1_X )
= $false )
| ( ( ! [SY18: $i] :
( ~ ( in @ SY18 @ sK1_X )
| ! [SY19: $i] :
( ~ ( in @ SY19 @ sK1_X )
| ~ ~ ( ~ ( in @ SV7 @ SY18 )
| ~ ( in @ SY18 @ SY19 ) )
| ( in @ SV7 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(102,plain,
! [SV8: $i] :
( ( ( in @ SV8 @ sK1_X )
= $false )
| ( ( ! [SY20: $i] :
( ~ ( in @ SY20 @ sK1_X )
| ( SV8 = SY20 )
| ( in @ SV8 @ SY20 )
| ( in @ SY20 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(103,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( in @ ( sK5_SY16 @ SV5 ) @ SV5 )
| ~ ! [SY21: $i] :
( ~ ( in @ SY21 @ SV5 )
| ( ( sK5_SY16 @ SV5 )
= SY21 )
| ( in @ ( sK5_SY16 @ SV5 ) @ SY21 ) ) ) )
= $true )
| ( ( SV5 = emptyset )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(104,plain,
! [SV1: $i] :
( ( ( ! [SY2: $i] :
( ~ ( in @ SY2 @ SV1 )
| ! [SY3: $i] :
( ~ ( in @ SY3 @ SV1 )
| ! [SY4: $i] :
( ~ ( in @ SY4 @ SV1 )
| ~ ~ ( ~ ( in @ SY2 @ SY3 )
| ~ ( in @ SY3 @ SY4 ) )
| ( in @ SY2 @ SY4 ) ) ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(105,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
| ! [SY22: $i] :
( ~ ( in @ SY22 @ SV1 )
| ! [SY23: $i] :
( ~ ( in @ SY23 @ SV1 )
| ~ ~ ( ~ ( in @ ( sK6_SY2 @ SV1 ) @ SY22 )
| ~ ( in @ SY22 @ SY23 ) )
| ( in @ ( sK6_SY2 @ SV1 ) @ SY23 ) ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[100]) ).
thf(106,plain,
! [SV7: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ sK1_X )
| ! [SY24: $i] :
( ~ ( in @ SY24 @ sK1_X )
| ~ ~ ( ~ ( in @ SV7 @ SV9 )
| ~ ( in @ SV9 @ SY24 ) )
| ( in @ SV7 @ SY24 ) ) )
= $true )
| ( ( in @ SV7 @ sK1_X )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(107,plain,
! [SV8: $i,SV10: $i] :
( ( ( ~ ( in @ SV10 @ sK1_X )
| ( SV8 = SV10 )
| ( in @ SV8 @ SV10 )
| ( in @ SV10 @ SV8 ) )
= $true )
| ( ( in @ SV8 @ sK1_X )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(108,plain,
! [SV5: $i] :
( ( ( ~ ( in @ ( sK5_SY16 @ SV5 ) @ SV5 )
| ~ ! [SY21: $i] :
( ~ ( in @ SY21 @ SV5 )
| ( ( sK5_SY16 @ SV5 )
= SY21 )
| ( in @ ( sK5_SY16 @ SV5 ) @ SY21 ) ) )
= $false )
| ( ( SV5 = emptyset )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(109,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
| ! [SY25: $i] :
( ~ ( in @ SY25 @ SV1 )
| ! [SY26: $i] :
( ~ ( in @ SY26 @ SV1 )
| ~ ~ ( ~ ( in @ ( sK7_SY2 @ SV1 ) @ SY25 )
| ~ ( in @ SY25 @ SY26 ) )
| ( in @ ( sK7_SY2 @ SV1 ) @ SY26 ) ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[104]) ).
thf(110,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK6_SY2 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(111,plain,
! [SV1: $i] :
( ( ( ! [SY22: $i] :
( ~ ( in @ SY22 @ SV1 )
| ! [SY23: $i] :
( ~ ( in @ SY23 @ SV1 )
| ~ ~ ( ~ ( in @ ( sK6_SY2 @ SV1 ) @ SY22 )
| ~ ( in @ SY22 @ SY23 ) )
| ( in @ ( sK6_SY2 @ SV1 ) @ SY23 ) ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(112,plain,
! [SV7: $i,SV9: $i] :
( ( ( ~ ( in @ SV9 @ sK1_X ) )
= $true )
| ( ( ! [SY24: $i] :
( ~ ( in @ SY24 @ sK1_X )
| ~ ~ ( ~ ( in @ SV7 @ SV9 )
| ~ ( in @ SV9 @ SY24 ) )
| ( in @ SV7 @ SY24 ) ) )
= $true )
| ( ( in @ SV7 @ sK1_X )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(113,plain,
! [SV8: $i,SV10: $i] :
( ( ( ~ ( in @ SV10 @ sK1_X ) )
= $true )
| ( ( ( SV8 = SV10 )
| ( in @ SV8 @ SV10 )
| ( in @ SV10 @ SV8 ) )
= $true )
| ( ( in @ SV8 @ sK1_X )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(114,plain,
! [SV5: $i] :
( ( ( ~ ( in @ ( sK5_SY16 @ SV5 ) @ SV5 ) )
= $false )
| ( ( SV5 = emptyset )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(115,plain,
! [SV5: $i] :
( ( ( ~ ! [SY21: $i] :
( ~ ( in @ SY21 @ SV5 )
| ( ( sK5_SY16 @ SV5 )
= SY21 )
| ( in @ ( sK5_SY16 @ SV5 ) @ SY21 ) ) )
= $false )
| ( ( SV5 = emptyset )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(116,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK7_SY2 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(117,plain,
! [SV1: $i] :
( ( ( ! [SY25: $i] :
( ~ ( in @ SY25 @ SV1 )
| ! [SY26: $i] :
( ~ ( in @ SY26 @ SV1 )
| ~ ~ ( ~ ( in @ ( sK7_SY2 @ SV1 ) @ SY25 )
| ~ ( in @ SY25 @ SY26 ) )
| ( in @ ( sK7_SY2 @ SV1 ) @ SY26 ) ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(118,plain,
! [SV1: $i] :
( ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(119,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
| ! [SY27: $i] :
( ~ ( in @ SY27 @ SV1 )
| ~ ~ ( ~ ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
| ~ ( in @ ( sK8_SY22 @ SV1 ) @ SY27 ) )
| ( in @ ( sK6_SY2 @ SV1 ) @ SY27 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[111]) ).
thf(120,plain,
! [SV7: $i,SV9: $i] :
( ( ( in @ SV9 @ sK1_X )
= $false )
| ( ( ! [SY24: $i] :
( ~ ( in @ SY24 @ sK1_X )
| ~ ~ ( ~ ( in @ SV7 @ SV9 )
| ~ ( in @ SV9 @ SY24 ) )
| ( in @ SV7 @ SY24 ) ) )
= $true )
| ( ( in @ SV7 @ sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(121,plain,
! [SV8: $i,SV10: $i] :
( ( ( in @ SV10 @ sK1_X )
= $false )
| ( ( ( SV8 = SV10 )
| ( in @ SV8 @ SV10 )
| ( in @ SV10 @ SV8 ) )
= $true )
| ( ( in @ SV8 @ sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(122,plain,
! [SV5: $i] :
( ( ( in @ ( sK5_SY16 @ SV5 ) @ SV5 )
= $true )
| ( ( SV5 = emptyset )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(123,plain,
! [SV5: $i] :
( ( ( ! [SY21: $i] :
( ~ ( in @ SY21 @ SV5 )
| ( ( sK5_SY16 @ SV5 )
= SY21 )
| ( in @ ( sK5_SY16 @ SV5 ) @ SY21 ) ) )
= $true )
| ( ( SV5 = emptyset )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(124,plain,
! [SV1: $i] :
( ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(125,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
| ! [SY28: $i] :
( ~ ( in @ SY28 @ SV1 )
| ~ ~ ( ~ ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
| ~ ( in @ ( sK9_SY25 @ SV1 ) @ SY28 ) )
| ( in @ ( sK7_SY2 @ SV1 ) @ SY28 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[117]) ).
thf(126,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(127,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK8_SY22 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(128,plain,
! [SV1: $i] :
( ( ( ! [SY27: $i] :
( ~ ( in @ SY27 @ SV1 )
| ~ ~ ( ~ ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
| ~ ( in @ ( sK8_SY22 @ SV1 ) @ SY27 ) )
| ( in @ ( sK6_SY2 @ SV1 ) @ SY27 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(129,plain,
! [SV9: $i,SV7: $i,SV11: $i] :
( ( ( ~ ( in @ SV11 @ sK1_X )
| ~ ~ ( ~ ( in @ SV7 @ SV9 )
| ~ ( in @ SV9 @ SV11 ) )
| ( in @ SV7 @ SV11 ) )
= $true )
| ( ( in @ SV9 @ sK1_X )
= $false )
| ( ( in @ SV7 @ sK1_X )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(130,plain,
! [SV10: $i,SV8: $i] :
( ( ( ( SV8 = SV10 )
| ( in @ SV8 @ SV10 ) )
= $true )
| ( ( in @ SV10 @ SV8 )
= $true )
| ( ( in @ SV10 @ sK1_X )
= $false )
| ( ( in @ SV8 @ sK1_X )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(131,plain,
! [SV5: $i,SV12: $i] :
( ( ( ~ ( in @ SV12 @ SV5 )
| ( ( sK5_SY16 @ SV5 )
= SV12 )
| ( in @ ( sK5_SY16 @ SV5 ) @ SV12 ) )
= $true )
| ( ( SV5 = emptyset )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(132,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(133,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK9_SY25 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(134,plain,
! [SV1: $i] :
( ( ( ! [SY28: $i] :
( ~ ( in @ SY28 @ SV1 )
| ~ ~ ( ~ ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
| ~ ( in @ ( sK9_SY25 @ SV1 ) @ SY28 ) )
| ( in @ ( sK7_SY2 @ SV1 ) @ SY28 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(135,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
| ! [SY29: $i] :
( ~ ( in @ SY29 @ SV1 )
| ( ( sK10_SY5 @ SV1 )
= SY29 )
| ( in @ ( sK10_SY5 @ SV1 ) @ SY29 )
| ( in @ SY29 @ ( sK10_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[126]) ).
thf(136,plain,
! [SV1: $i] :
( ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(137,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
| ~ ~ ( ~ ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
| ~ ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) ) )
| ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[128]) ).
thf(138,plain,
! [SV9: $i,SV7: $i,SV11: $i] :
( ( ( ~ ( in @ SV11 @ sK1_X ) )
= $true )
| ( ( ~ ~ ( ~ ( in @ SV7 @ SV9 )
| ~ ( in @ SV9 @ SV11 ) )
| ( in @ SV7 @ SV11 ) )
= $true )
| ( ( in @ SV9 @ sK1_X )
= $false )
| ( ( in @ SV7 @ sK1_X )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(139,plain,
! [SV10: $i,SV8: $i] :
( ( ( SV8 = SV10 )
= $true )
| ( ( in @ SV8 @ SV10 )
= $true )
| ( ( in @ SV10 @ SV8 )
= $true )
| ( ( in @ SV10 @ sK1_X )
= $false )
| ( ( in @ SV8 @ sK1_X )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(140,plain,
! [SV5: $i,SV12: $i] :
( ( ( ~ ( in @ SV12 @ SV5 ) )
= $true )
| ( ( ( ( sK5_SY16 @ SV5 )
= SV12 )
| ( in @ ( sK5_SY16 @ SV5 ) @ SV12 ) )
= $true )
| ( ( SV5 = emptyset )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(141,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
| ! [SY30: $i] :
( ~ ( in @ SY30 @ SV1 )
| ( ( sK12_SY5 @ SV1 )
= SY30 )
| ( in @ ( sK12_SY5 @ SV1 ) @ SY30 )
| ( in @ SY30 @ ( sK12_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[132]) ).
thf(142,plain,
! [SV1: $i] :
( ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(143,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
| ~ ~ ( ~ ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
| ~ ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) ) )
| ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[134]) ).
thf(144,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK10_SY5 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(145,plain,
! [SV1: $i] :
( ( ( ! [SY29: $i] :
( ~ ( in @ SY29 @ SV1 )
| ( ( sK10_SY5 @ SV1 )
= SY29 )
| ( in @ ( sK10_SY5 @ SV1 ) @ SY29 )
| ( in @ SY29 @ ( sK10_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(146,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(147,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK11_SY27 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(148,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
| ~ ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) ) )
| ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(149,plain,
! [SV9: $i,SV7: $i,SV11: $i] :
( ( ( in @ SV11 @ sK1_X )
= $false )
| ( ( ~ ~ ( ~ ( in @ SV7 @ SV9 )
| ~ ( in @ SV9 @ SV11 ) )
| ( in @ SV7 @ SV11 ) )
= $true )
| ( ( in @ SV9 @ sK1_X )
= $false )
| ( ( in @ SV7 @ sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(150,plain,
! [SV5: $i,SV12: $i] :
( ( ( in @ SV12 @ SV5 )
= $false )
| ( ( ( ( sK5_SY16 @ SV5 )
= SV12 )
| ( in @ ( sK5_SY16 @ SV5 ) @ SV12 ) )
= $true )
| ( ( SV5 = emptyset )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(151,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK12_SY5 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(152,plain,
! [SV1: $i] :
( ( ( ! [SY30: $i] :
( ~ ( in @ SY30 @ SV1 )
| ( ( sK12_SY5 @ SV1 )
= SY30 )
| ( in @ ( sK12_SY5 @ SV1 ) @ SY30 )
| ( in @ SY30 @ ( sK12_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(153,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(154,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK13_SY28 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(155,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
| ~ ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) ) )
| ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(156,plain,
! [SV1: $i] :
( ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(157,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
| ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
| ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
| ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[145]) ).
thf(158,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
| ! [SY31: $i] :
( ~ ( in @ SY31 @ SV1 )
| ( ( sK15_SY5 @ SV1 )
= SY31 )
| ( in @ ( sK15_SY5 @ SV1 ) @ SY31 )
| ( in @ SY31 @ ( sK15_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[146]) ).
thf(159,plain,
! [SV1: $i] :
( ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(160,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
| ~ ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(161,plain,
! [SV1: $i] :
( ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(162,plain,
! [SV11: $i,SV9: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( in @ SV7 @ SV9 )
| ~ ( in @ SV9 @ SV11 ) ) )
= $true )
| ( ( in @ SV7 @ SV11 )
= $true )
| ( ( in @ SV11 @ sK1_X )
= $false )
| ( ( in @ SV9 @ sK1_X )
= $false )
| ( ( in @ SV7 @ sK1_X )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(163,plain,
! [SV12: $i,SV5: $i] :
( ( ( ( sK5_SY16 @ SV5 )
= SV12 )
= $true )
| ( ( in @ ( sK5_SY16 @ SV5 ) @ SV12 )
= $true )
| ( ( in @ SV12 @ SV5 )
= $false )
| ( ( SV5 = emptyset )
= $true )
| ( ( in @ SV5 @ ( powerset @ sK1_X ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(164,plain,
! [SV1: $i] :
( ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(165,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
| ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
| ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
| ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[152]) ).
thf(166,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
| ! [SY32: $i] :
( ~ ( in @ SY32 @ SV1 )
| ( ( sK17_SY5 @ SV1 )
= SY32 )
| ( in @ ( sK17_SY5 @ SV1 ) @ SY32 )
| ( in @ SY32 @ ( sK17_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[153]) ).
thf(167,plain,
! [SV1: $i] :
( ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(168,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
| ~ ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(169,plain,
! [SV1: $i] :
( ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(170,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(171,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK14_SY29 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(172,plain,
! [SV1: $i] :
( ( ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
| ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
| ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(173,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK15_SY5 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(174,plain,
! [SV1: $i] :
( ( ( ! [SY31: $i] :
( ~ ( in @ SY31 @ SV1 )
| ( ( sK15_SY5 @ SV1 )
= SY31 )
| ( in @ ( sK15_SY5 @ SV1 ) @ SY31 )
| ( in @ SY31 @ ( sK15_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(175,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(176,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
| ~ ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) ) ) )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(177,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(178,plain,
! [SV11: $i,SV9: $i,SV7: $i] :
( ( ( ~ ( ~ ( in @ SV7 @ SV9 )
| ~ ( in @ SV9 @ SV11 ) ) )
= $false )
| ( ( in @ SV7 @ SV11 )
= $true )
| ( ( in @ SV11 @ sK1_X )
= $false )
| ( ( in @ SV9 @ sK1_X )
= $false )
| ( ( in @ SV7 @ sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(179,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(180,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK16_SY30 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(181,plain,
! [SV1: $i] :
( ( ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
| ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
| ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(182,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK17_SY5 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(183,plain,
! [SV1: $i] :
( ( ( ! [SY32: $i] :
( ~ ( in @ SY32 @ SV1 )
| ( ( sK17_SY5 @ SV1 )
= SY32 )
| ( in @ ( sK17_SY5 @ SV1 ) @ SY32 )
| ( in @ SY32 @ ( sK17_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(184,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(185,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
| ~ ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) ) ) )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(186,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(187,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[170]) ).
thf(188,plain,
! [SV1: $i] :
( ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(189,plain,
! [SV1: $i] :
( ( ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
| ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(190,plain,
! [SV1: $i] :
( ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(191,plain,
! [SV1: $i] :
( ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(192,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
| ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
| ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
| ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[174]) ).
thf(193,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
| ! [SY33: $i] :
( ~ ( in @ SY33 @ SV1 )
| ( ( sK20_SY5 @ SV1 )
= SY33 )
| ( in @ ( sK20_SY5 @ SV1 ) @ SY33 )
| ( in @ SY33 @ ( sK20_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[175]) ).
thf(194,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
| ~ ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(195,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
| ! [SY34: $i] :
( ~ ( in @ SY34 @ SV1 )
| ( ( sK21_SY5 @ SV1 )
= SY34 )
| ( in @ ( sK21_SY5 @ SV1 ) @ SY34 )
| ( in @ SY34 @ ( sK21_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[177]) ).
thf(196,plain,
! [SV11: $i,SV9: $i,SV7: $i] :
( ( ( ~ ( in @ SV7 @ SV9 )
| ~ ( in @ SV9 @ SV11 ) )
= $true )
| ( ( in @ SV7 @ SV11 )
= $true )
| ( ( in @ SV11 @ sK1_X )
= $false )
| ( ( in @ SV9 @ sK1_X )
= $false )
| ( ( in @ SV7 @ sK1_X )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(197,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[179]) ).
thf(198,plain,
! [SV1: $i] :
( ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(199,plain,
! [SV1: $i] :
( ( ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
| ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(200,plain,
! [SV1: $i] :
( ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(201,plain,
! [SV1: $i] :
( ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(202,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
| ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
| ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
| ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[183]) ).
thf(203,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
| ! [SY35: $i] :
( ~ ( in @ SY35 @ SV1 )
| ( ( sK24_SY5 @ SV1 )
= SY35 )
| ( in @ ( sK24_SY5 @ SV1 ) @ SY35 )
| ( in @ SY35 @ ( sK24_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[184]) ).
thf(204,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
| ~ ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(205,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
| ! [SY36: $i] :
( ~ ( in @ SY36 @ SV1 )
| ( ( sK25_SY5 @ SV1 )
= SY36 )
| ( in @ ( sK25_SY5 @ SV1 ) @ SY36 )
| ( in @ SY36 @ ( sK25_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[186]) ).
thf(206,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK18_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(207,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(208,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(209,plain,
! [SV1: $i] :
( ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(210,plain,
! [SV1: $i] :
( ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(211,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(212,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(213,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK19_SY31 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(214,plain,
! [SV1: $i] :
( ( ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
| ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
| ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(215,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK20_SY5 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(216,plain,
! [SV1: $i] :
( ( ( ! [SY33: $i] :
( ~ ( in @ SY33 @ SV1 )
| ( ( sK20_SY5 @ SV1 )
= SY33 )
| ( in @ ( sK20_SY5 @ SV1 ) @ SY33 )
| ( in @ SY33 @ ( sK20_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(217,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(218,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(219,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK21_SY5 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(220,plain,
! [SV1: $i] :
( ( ( ! [SY34: $i] :
( ~ ( in @ SY34 @ SV1 )
| ( ( sK21_SY5 @ SV1 )
= SY34 )
| ( in @ ( sK21_SY5 @ SV1 ) @ SY34 )
| ( in @ SY34 @ ( sK21_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(221,plain,
! [SV11: $i,SV9: $i,SV7: $i] :
( ( ( ~ ( in @ SV7 @ SV9 ) )
= $true )
| ( ( ~ ( in @ SV9 @ SV11 ) )
= $true )
| ( ( in @ SV7 @ SV11 )
= $true )
| ( ( in @ SV11 @ sK1_X )
= $false )
| ( ( in @ SV9 @ sK1_X )
= $false )
| ( ( in @ SV7 @ sK1_X )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(222,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK22_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(223,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(224,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(225,plain,
! [SV1: $i] :
( ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(226,plain,
! [SV1: $i] :
( ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(227,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(228,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(229,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK23_SY32 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(230,plain,
! [SV1: $i] :
( ( ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
| ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
| ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(231,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK24_SY5 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(232,plain,
! [SV1: $i] :
( ( ( ! [SY35: $i] :
( ~ ( in @ SY35 @ SV1 )
| ( ( sK24_SY5 @ SV1 )
= SY35 )
| ( in @ ( sK24_SY5 @ SV1 ) @ SY35 )
| ( in @ SY35 @ ( sK24_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(233,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(234,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(235,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK25_SY5 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(236,plain,
! [SV1: $i] :
( ( ( ! [SY36: $i] :
( ~ ( in @ SY36 @ SV1 )
| ( ( sK25_SY5 @ SV1 )
= SY36 )
| ( in @ ( sK25_SY5 @ SV1 ) @ SY36 )
| ( in @ SY36 @ ( sK25_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(237,plain,
! [SV1: $i] :
( ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(238,plain,
! [SV1: $i] :
( ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(239,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[208]) ).
thf(240,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(241,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(242,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[211]) ).
thf(243,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[212]) ).
thf(244,plain,
! [SV1: $i] :
( ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(245,plain,
! [SV1: $i] :
( ( ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
| ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(246,plain,
! [SV1: $i] :
( ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(247,plain,
! [SV1: $i] :
( ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(248,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
| ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
| ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
| ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[216]) ).
thf(249,plain,
! [SV1: $i] :
( ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(250,plain,
! [SV1: $i] :
( ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(251,plain,
! [SV1: $i] :
( ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(252,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
| ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
| ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
| ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[220]) ).
thf(253,plain,
! [SV11: $i,SV9: $i,SV7: $i] :
( ( ( in @ SV7 @ SV9 )
= $false )
| ( ( ~ ( in @ SV9 @ SV11 ) )
= $true )
| ( ( in @ SV7 @ SV11 )
= $true )
| ( ( in @ SV11 @ sK1_X )
= $false )
| ( ( in @ SV9 @ sK1_X )
= $false )
| ( ( in @ SV7 @ sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(254,plain,
! [SV1: $i] :
( ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(255,plain,
! [SV1: $i] :
( ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(256,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[224]) ).
thf(257,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(258,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(259,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[227]) ).
thf(260,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[228]) ).
thf(261,plain,
! [SV1: $i] :
( ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(262,plain,
! [SV1: $i] :
( ( ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
| ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(263,plain,
! [SV1: $i] :
( ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(264,plain,
! [SV1: $i] :
( ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(265,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
| ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
| ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
| ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[232]) ).
thf(266,plain,
! [SV1: $i] :
( ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(267,plain,
! [SV1: $i] :
( ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(268,plain,
! [SV1: $i] :
( ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(269,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
| ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
| ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
| ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[236]) ).
thf(270,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(271,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(272,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK26_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(273,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(274,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[240]) ).
thf(275,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[241]) ).
thf(276,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK27_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(277,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(278,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK28_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(279,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(280,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(281,plain,
! [SV1: $i] :
( ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(282,plain,
! [SV1: $i] :
( ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(283,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(284,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(285,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK29_SY33 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(286,plain,
! [SV1: $i] :
( ( ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
| ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
| ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(287,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(288,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(289,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(290,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK30_SY34 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(291,plain,
! [SV1: $i] :
( ( ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
| ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
| ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(292,plain,
! [SV7: $i,SV11: $i,SV9: $i] :
( ( ( in @ SV9 @ SV11 )
= $false )
| ( ( in @ SV7 @ SV9 )
= $false )
| ( ( in @ SV7 @ SV11 )
= $true )
| ( ( in @ SV11 @ sK1_X )
= $false )
| ( ( in @ SV9 @ sK1_X )
= $false )
| ( ( in @ SV7 @ sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(293,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(294,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(295,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK31_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(296,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(297,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[257]) ).
thf(298,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[258]) ).
thf(299,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK32_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(300,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(301,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK33_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(302,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(303,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(304,plain,
! [SV1: $i] :
( ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(305,plain,
! [SV1: $i] :
( ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(306,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(307,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(308,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK34_SY35 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(309,plain,
! [SV1: $i] :
( ( ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
| ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
| ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(310,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(311,plain,
! [SV1: $i] :
( ( ( ! [SY5: $i] :
( ~ ( in @ SY5 @ SV1 )
| ! [SY6: $i] :
( ~ ( in @ SY6 @ SV1 )
| ( SY5 = SY6 )
| ( in @ SY5 @ SY6 )
| ( in @ SY6 @ SY5 ) ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(312,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(313,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK35_SY36 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(314,plain,
! [SV1: $i] :
( ( ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
| ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
| ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(315,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK40_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK40_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY37: $i] :
~ ~ ( ~ ( in @ SY37 @ ( sK40_SY8 @ SV1 ) )
| ~ ! [SY38: $i] :
( ~ ( in @ SY38 @ ( sK40_SY8 @ SV1 ) )
| ( SY37 = SY38 )
| ( in @ SY37 @ SY38 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[270]) ).
thf(316,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK41_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK41_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY39: $i] :
~ ~ ( ~ ( in @ SY39 @ ( sK41_SY8 @ SV1 ) )
| ~ ! [SY40: $i] :
( ~ ( in @ SY40 @ ( sK41_SY8 @ SV1 ) )
| ( SY39 = SY40 )
| ( in @ SY39 @ SY40 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[271]) ).
thf(317,plain,
! [SV1: $i] :
( ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(318,plain,
! [SV1: $i] :
( ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(319,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK36_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(320,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(321,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK37_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(322,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(323,plain,
! [SV1: $i] :
( ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(324,plain,
! [SV1: $i] :
( ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(325,plain,
! [SV1: $i] :
( ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(326,plain,
! [SV1: $i] :
( ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(327,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[280]) ).
thf(328,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(329,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(330,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[283]) ).
thf(331,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[284]) ).
thf(332,plain,
! [SV1: $i] :
( ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(333,plain,
! [SV1: $i] :
( ( ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
| ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(334,plain,
! [SV1: $i] :
( ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(335,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
| ! [SY41: $i] :
( ~ ( in @ SY41 @ SV1 )
| ( ( sK45_SY5 @ SV1 )
= SY41 )
| ( in @ ( sK45_SY5 @ SV1 ) @ SY41 )
| ( in @ SY41 @ ( sK45_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[287]) ).
thf(336,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
| ! [SY42: $i] :
( ~ ( in @ SY42 @ SV1 )
| ( ( sK46_SY5 @ SV1 )
= SY42 )
| ( in @ ( sK46_SY5 @ SV1 ) @ SY42 )
| ( in @ SY42 @ ( sK46_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[288]) ).
thf(337,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[289]) ).
thf(338,plain,
! [SV1: $i] :
( ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(339,plain,
! [SV1: $i] :
( ( ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
| ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(340,plain,
! [SV1: $i] :
( ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(341,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK48_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK48_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY43: $i] :
~ ~ ( ~ ( in @ SY43 @ ( sK48_SY8 @ SV1 ) )
| ~ ! [SY44: $i] :
( ~ ( in @ SY44 @ ( sK48_SY8 @ SV1 ) )
| ( SY43 = SY44 )
| ( in @ SY43 @ SY44 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[293]) ).
thf(342,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK49_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK49_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY45: $i] :
~ ~ ( ~ ( in @ SY45 @ ( sK49_SY8 @ SV1 ) )
| ~ ! [SY46: $i] :
( ~ ( in @ SY46 @ ( sK49_SY8 @ SV1 ) )
| ( SY45 = SY46 )
| ( in @ SY45 @ SY46 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[294]) ).
thf(343,plain,
! [SV1: $i] :
( ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(344,plain,
! [SV1: $i] :
( ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(345,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK38_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(346,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(347,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK39_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(348,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(349,plain,
! [SV1: $i] :
( ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(350,plain,
! [SV1: $i] :
( ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(351,plain,
! [SV1: $i] :
( ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(352,plain,
! [SV1: $i] :
( ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(353,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[303]) ).
thf(354,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(355,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(356,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[306]) ).
thf(357,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[307]) ).
thf(358,plain,
! [SV1: $i] :
( ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(359,plain,
! [SV1: $i] :
( ( ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
| ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(360,plain,
! [SV1: $i] :
( ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(361,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
| ! [SY47: $i] :
( ~ ( in @ SY47 @ SV1 )
| ( ( sK53_SY5 @ SV1 )
= SY47 )
| ( in @ ( sK53_SY5 @ SV1 ) @ SY47 )
| ( in @ SY47 @ ( sK53_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[310]) ).
thf(362,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
| ! [SY48: $i] :
( ~ ( in @ SY48 @ SV1 )
| ( ( sK54_SY5 @ SV1 )
= SY48 )
| ( in @ ( sK54_SY5 @ SV1 ) @ SY48 )
| ( in @ SY48 @ ( sK54_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[311]) ).
thf(363,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[312]) ).
thf(364,plain,
! [SV1: $i] :
( ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(365,plain,
! [SV1: $i] :
( ( ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
| ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(366,plain,
! [SV1: $i] :
( ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(367,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK40_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(368,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK40_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY37: $i] :
~ ~ ( ~ ( in @ SY37 @ ( sK40_SY8 @ SV1 ) )
| ~ ! [SY38: $i] :
( ~ ( in @ SY38 @ ( sK40_SY8 @ SV1 ) )
| ( SY37 = SY38 )
| ( in @ SY37 @ SY38 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(369,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK41_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(370,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK41_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY39: $i] :
~ ~ ( ~ ( in @ SY39 @ ( sK41_SY8 @ SV1 ) )
| ~ ! [SY40: $i] :
( ~ ( in @ SY40 @ ( sK41_SY8 @ SV1 ) )
| ( SY39 = SY40 )
| ( in @ SY39 @ SY40 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(371,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(372,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(373,plain,
! [SV1: $i] :
( ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(374,plain,
! [SV1: $i] :
( ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(375,plain,
! [SV1: $i] :
( ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(376,plain,
! [SV1: $i] :
( ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(377,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(378,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(379,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(380,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(381,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK42_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(382,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(383,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[328]) ).
thf(384,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[329]) ).
thf(385,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK43_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(386,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(387,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK44_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(388,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(389,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(390,plain,
! [SV1: $i] :
( ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(391,plain,
! [SV1: $i] :
( ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(392,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(393,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK45_SY5 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(394,plain,
! [SV1: $i] :
( ( ( ! [SY41: $i] :
( ~ ( in @ SY41 @ SV1 )
| ( ( sK45_SY5 @ SV1 )
= SY41 )
| ( in @ ( sK45_SY5 @ SV1 ) @ SY41 )
| ( in @ SY41 @ ( sK45_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(395,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK46_SY5 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(396,plain,
! [SV1: $i] :
( ( ( ! [SY42: $i] :
( ~ ( in @ SY42 @ SV1 )
| ( ( sK46_SY5 @ SV1 )
= SY42 )
| ( in @ ( sK46_SY5 @ SV1 ) @ SY42 )
| ( in @ SY42 @ ( sK46_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(397,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK47_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(398,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(399,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(400,plain,
! [SV1: $i] :
( ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(401,plain,
! [SV1: $i] :
( ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(402,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(403,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK48_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(404,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK48_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY43: $i] :
~ ~ ( ~ ( in @ SY43 @ ( sK48_SY8 @ SV1 ) )
| ~ ! [SY44: $i] :
( ~ ( in @ SY44 @ ( sK48_SY8 @ SV1 ) )
| ( SY43 = SY44 )
| ( in @ SY43 @ SY44 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(405,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK49_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(406,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK49_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY45: $i] :
~ ~ ( ~ ( in @ SY45 @ ( sK49_SY8 @ SV1 ) )
| ~ ! [SY46: $i] :
( ~ ( in @ SY46 @ ( sK49_SY8 @ SV1 ) )
| ( SY45 = SY46 )
| ( in @ SY45 @ SY46 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(407,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(408,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(409,plain,
! [SV1: $i] :
( ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(410,plain,
! [SV1: $i] :
( ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(411,plain,
! [SV1: $i] :
( ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(412,plain,
! [SV1: $i] :
( ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(413,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(414,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(415,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(416,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(417,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK50_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(418,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(419,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[354]) ).
thf(420,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[355]) ).
thf(421,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK51_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(422,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(423,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK52_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(424,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(425,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(426,plain,
! [SV1: $i] :
( ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(427,plain,
! [SV1: $i] :
( ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(428,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(429,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK53_SY5 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(430,plain,
! [SV1: $i] :
( ( ( ! [SY47: $i] :
( ~ ( in @ SY47 @ SV1 )
| ( ( sK53_SY5 @ SV1 )
= SY47 )
| ( in @ ( sK53_SY5 @ SV1 ) @ SY47 )
| ( in @ SY47 @ ( sK53_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(431,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK54_SY5 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(432,plain,
! [SV1: $i] :
( ( ( ! [SY48: $i] :
( ~ ( in @ SY48 @ SV1 )
| ( ( sK54_SY5 @ SV1 )
= SY48 )
| ( in @ ( sK54_SY5 @ SV1 ) @ SY48 )
| ( in @ SY48 @ ( sK54_SY5 @ SV1 ) ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(433,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK55_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(434,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(435,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(436,plain,
! [SV1: $i] :
( ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(437,plain,
! [SV1: $i] :
( ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(438,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(439,plain,
! [SV1: $i] :
( ( ( in @ ( sK40_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(440,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK40_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(441,plain,
! [SV1: $i] :
( ( ( ~ ! [SY37: $i] :
~ ~ ( ~ ( in @ SY37 @ ( sK40_SY8 @ SV1 ) )
| ~ ! [SY38: $i] :
( ~ ( in @ SY38 @ ( sK40_SY8 @ SV1 ) )
| ( SY37 = SY38 )
| ( in @ SY37 @ SY38 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(442,plain,
! [SV1: $i] :
( ( ( in @ ( sK41_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(443,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK41_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(444,plain,
! [SV1: $i] :
( ( ( ~ ! [SY39: $i] :
~ ~ ( ~ ( in @ SY39 @ ( sK41_SY8 @ SV1 ) )
| ~ ! [SY40: $i] :
( ~ ( in @ SY40 @ ( sK41_SY8 @ SV1 ) )
| ( SY39 = SY40 )
| ( in @ SY39 @ SY40 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(445,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK60_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK60_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY49: $i] :
~ ~ ( ~ ( in @ SY49 @ ( sK60_SY8 @ SV1 ) )
| ~ ! [SY50: $i] :
( ~ ( in @ SY50 @ ( sK60_SY8 @ SV1 ) )
| ( SY49 = SY50 )
| ( in @ SY49 @ SY50 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[371]) ).
thf(446,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK61_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK61_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY51: $i] :
~ ~ ( ~ ( in @ SY51 @ ( sK61_SY8 @ SV1 ) )
| ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ ( sK61_SY8 @ SV1 ) )
| ( SY51 = SY52 )
| ( in @ SY51 @ SY52 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[372]) ).
thf(447,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(448,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(449,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(450,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(451,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK62_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK62_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY53: $i] :
~ ~ ( ~ ( in @ SY53 @ ( sK62_SY8 @ SV1 ) )
| ~ ! [SY54: $i] :
( ~ ( in @ SY54 @ ( sK62_SY8 @ SV1 ) )
| ( SY53 = SY54 )
| ( in @ SY53 @ SY54 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[377]) ).
thf(452,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK63_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK63_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY55: $i] :
~ ~ ( ~ ( in @ SY55 @ ( sK63_SY8 @ SV1 ) )
| ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ ( sK63_SY8 @ SV1 ) )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[378]) ).
thf(453,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK64_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK64_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY57: $i] :
~ ~ ( ~ ( in @ SY57 @ ( sK64_SY8 @ SV1 ) )
| ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( sK64_SY8 @ SV1 ) )
| ( SY57 = SY58 )
| ( in @ SY57 @ SY58 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[379]) ).
thf(454,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK65_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK65_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY59: $i] :
~ ~ ( ~ ( in @ SY59 @ ( sK65_SY8 @ SV1 ) )
| ~ ! [SY60: $i] :
( ~ ( in @ SY60 @ ( sK65_SY8 @ SV1 ) )
| ( SY59 = SY60 )
| ( in @ SY59 @ SY60 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[380]) ).
thf(455,plain,
! [SV1: $i] :
( ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(456,plain,
! [SV1: $i] :
( ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(457,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK56_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(458,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(459,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK57_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(460,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(461,plain,
! [SV1: $i] :
( ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(462,plain,
! [SV1: $i] :
( ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(463,plain,
! [SV1: $i] :
( ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(464,plain,
! [SV1: $i] :
( ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(465,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[389]) ).
thf(466,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(467,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(468,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[392]) ).
thf(469,plain,
! [SV1: $i] :
( ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(470,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
| ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
| ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
| ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[394]) ).
thf(471,plain,
! [SV1: $i] :
( ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(472,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
| ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
| ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
| ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[396]) ).
thf(473,plain,
! [SV1: $i] :
( ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(474,plain,
! [SV1: $i] :
( ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(475,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[399]) ).
thf(476,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(477,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(478,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[402]) ).
thf(479,plain,
! [SV1: $i] :
( ( ( in @ ( sK48_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(480,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK48_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(481,plain,
! [SV1: $i] :
( ( ( ~ ! [SY43: $i] :
~ ~ ( ~ ( in @ SY43 @ ( sK48_SY8 @ SV1 ) )
| ~ ! [SY44: $i] :
( ~ ( in @ SY44 @ ( sK48_SY8 @ SV1 ) )
| ( SY43 = SY44 )
| ( in @ SY43 @ SY44 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(482,plain,
! [SV1: $i] :
( ( ( in @ ( sK49_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(483,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK49_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(484,plain,
! [SV1: $i] :
( ( ( ~ ! [SY45: $i] :
~ ~ ( ~ ( in @ SY45 @ ( sK49_SY8 @ SV1 ) )
| ~ ! [SY46: $i] :
( ~ ( in @ SY46 @ ( sK49_SY8 @ SV1 ) )
| ( SY45 = SY46 )
| ( in @ SY45 @ SY46 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(485,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK72_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK72_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY61: $i] :
~ ~ ( ~ ( in @ SY61 @ ( sK72_SY8 @ SV1 ) )
| ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ ( sK72_SY8 @ SV1 ) )
| ( SY61 = SY62 )
| ( in @ SY61 @ SY62 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[407]) ).
thf(486,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK73_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK73_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY63: $i] :
~ ~ ( ~ ( in @ SY63 @ ( sK73_SY8 @ SV1 ) )
| ~ ! [SY64: $i] :
( ~ ( in @ SY64 @ ( sK73_SY8 @ SV1 ) )
| ( SY63 = SY64 )
| ( in @ SY63 @ SY64 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[408]) ).
thf(487,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(488,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(489,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(490,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(491,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK74_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK74_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY65: $i] :
~ ~ ( ~ ( in @ SY65 @ ( sK74_SY8 @ SV1 ) )
| ~ ! [SY66: $i] :
( ~ ( in @ SY66 @ ( sK74_SY8 @ SV1 ) )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[413]) ).
thf(492,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK75_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK75_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY67: $i] :
~ ~ ( ~ ( in @ SY67 @ ( sK75_SY8 @ SV1 ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ ( sK75_SY8 @ SV1 ) )
| ( SY67 = SY68 )
| ( in @ SY67 @ SY68 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[414]) ).
thf(493,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK76_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK76_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY69: $i] :
~ ~ ( ~ ( in @ SY69 @ ( sK76_SY8 @ SV1 ) )
| ~ ! [SY70: $i] :
( ~ ( in @ SY70 @ ( sK76_SY8 @ SV1 ) )
| ( SY69 = SY70 )
| ( in @ SY69 @ SY70 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[415]) ).
thf(494,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK77_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK77_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY71: $i] :
~ ~ ( ~ ( in @ SY71 @ ( sK77_SY8 @ SV1 ) )
| ~ ! [SY72: $i] :
( ~ ( in @ SY72 @ ( sK77_SY8 @ SV1 ) )
| ( SY71 = SY72 )
| ( in @ SY71 @ SY72 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[416]) ).
thf(495,plain,
! [SV1: $i] :
( ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(496,plain,
! [SV1: $i] :
( ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(497,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK58_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(498,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(499,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK59_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(500,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(501,plain,
! [SV1: $i] :
( ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(502,plain,
! [SV1: $i] :
( ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(503,plain,
! [SV1: $i] :
( ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(504,plain,
! [SV1: $i] :
( ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(505,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[425]) ).
thf(506,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(507,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(508,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[428]) ).
thf(509,plain,
! [SV1: $i] :
( ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(510,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
| ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
| ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
| ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[430]) ).
thf(511,plain,
! [SV1: $i] :
( ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(512,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
| ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
| ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
| ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[432]) ).
thf(513,plain,
! [SV1: $i] :
( ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(514,plain,
! [SV1: $i] :
( ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(515,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[435]) ).
thf(516,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(517,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(518,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[438]) ).
thf(519,plain,
! [SV13: $i,SV1: $i] :
( ( ( ! [SY73: $i] :
( ~ ( in @ SY73 @ SV1 )
| ~ ( in @ SV13 @ SY73 )
| ( in @ SV13 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK40_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(520,plain,
! [SV1: $i] :
( ( ( ( ( sK40_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(521,plain,
! [SV1: $i] :
( ( ( ! [SY37: $i] :
~ ~ ( ~ ( in @ SY37 @ ( sK40_SY8 @ SV1 ) )
| ~ ! [SY38: $i] :
( ~ ( in @ SY38 @ ( sK40_SY8 @ SV1 ) )
| ( SY37 = SY38 )
| ( in @ SY37 @ SY38 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(522,plain,
! [SV14: $i,SV1: $i] :
( ( ( ! [SY74: $i] :
( ~ ( in @ SY74 @ SV1 )
| ~ ( in @ SV14 @ SY74 )
| ( in @ SV14 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK41_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(523,plain,
! [SV1: $i] :
( ( ( ( ( sK41_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(524,plain,
! [SV1: $i] :
( ( ( ! [SY39: $i] :
~ ~ ( ~ ( in @ SY39 @ ( sK41_SY8 @ SV1 ) )
| ~ ! [SY40: $i] :
( ~ ( in @ SY40 @ ( sK41_SY8 @ SV1 ) )
| ( SY39 = SY40 )
| ( in @ SY39 @ SY40 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(525,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK60_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[445]) ).
thf(526,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK60_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY49: $i] :
~ ~ ( ~ ( in @ SY49 @ ( sK60_SY8 @ SV1 ) )
| ~ ! [SY50: $i] :
( ~ ( in @ SY50 @ ( sK60_SY8 @ SV1 ) )
| ( SY49 = SY50 )
| ( in @ SY49 @ SY50 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[445]) ).
thf(527,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK61_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(528,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK61_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY51: $i] :
~ ~ ( ~ ( in @ SY51 @ ( sK61_SY8 @ SV1 ) )
| ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ ( sK61_SY8 @ SV1 ) )
| ( SY51 = SY52 )
| ( in @ SY51 @ SY52 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(529,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK84_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK84_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY75: $i] :
~ ~ ( ~ ( in @ SY75 @ ( sK84_SY8 @ SV1 ) )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ ( sK84_SY8 @ SV1 ) )
| ( SY75 = SY76 )
| ( in @ SY75 @ SY76 ) ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[447]) ).
thf(530,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK85_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK85_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY77: $i] :
~ ~ ( ~ ( in @ SY77 @ ( sK85_SY8 @ SV1 ) )
| ~ ! [SY78: $i] :
( ~ ( in @ SY78 @ ( sK85_SY8 @ SV1 ) )
| ( SY77 = SY78 )
| ( in @ SY77 @ SY78 ) ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[448]) ).
thf(531,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK86_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK86_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY79: $i] :
~ ~ ( ~ ( in @ SY79 @ ( sK86_SY8 @ SV1 ) )
| ~ ! [SY80: $i] :
( ~ ( in @ SY80 @ ( sK86_SY8 @ SV1 ) )
| ( SY79 = SY80 )
| ( in @ SY79 @ SY80 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[449]) ).
thf(532,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK87_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK87_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY81: $i] :
~ ~ ( ~ ( in @ SY81 @ ( sK87_SY8 @ SV1 ) )
| ~ ! [SY82: $i] :
( ~ ( in @ SY82 @ ( sK87_SY8 @ SV1 ) )
| ( SY81 = SY82 )
| ( in @ SY81 @ SY82 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[450]) ).
thf(533,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK62_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(534,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK62_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY53: $i] :
~ ~ ( ~ ( in @ SY53 @ ( sK62_SY8 @ SV1 ) )
| ~ ! [SY54: $i] :
( ~ ( in @ SY54 @ ( sK62_SY8 @ SV1 ) )
| ( SY53 = SY54 )
| ( in @ SY53 @ SY54 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(535,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK63_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(536,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK63_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY55: $i] :
~ ~ ( ~ ( in @ SY55 @ ( sK63_SY8 @ SV1 ) )
| ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ ( sK63_SY8 @ SV1 ) )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(537,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK64_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(538,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK64_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY57: $i] :
~ ~ ( ~ ( in @ SY57 @ ( sK64_SY8 @ SV1 ) )
| ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( sK64_SY8 @ SV1 ) )
| ( SY57 = SY58 )
| ( in @ SY57 @ SY58 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(539,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK65_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(540,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK65_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY59: $i] :
~ ~ ( ~ ( in @ SY59 @ ( sK65_SY8 @ SV1 ) )
| ~ ! [SY60: $i] :
( ~ ( in @ SY60 @ ( sK65_SY8 @ SV1 ) )
| ( SY59 = SY60 )
| ( in @ SY59 @ SY60 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(541,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(542,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(543,plain,
! [SV1: $i] :
( ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(544,plain,
! [SV1: $i] :
( ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(545,plain,
! [SV1: $i] :
( ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(546,plain,
! [SV1: $i] :
( ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(547,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(548,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(549,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(550,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(551,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK66_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(552,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(553,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[466]) ).
thf(554,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[467]) ).
thf(555,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK67_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(556,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(557,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(558,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK68_SY41 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(559,plain,
! [SV1: $i] :
( ( ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
| ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
| ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[470]) ).
thf(560,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(561,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK69_SY42 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(562,plain,
! [SV1: $i] :
( ( ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
| ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
| ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(563,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(564,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(565,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK70_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(566,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(567,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[476]) ).
thf(568,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[477]) ).
thf(569,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK71_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(570,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(571,plain,
! [SV15: $i,SV1: $i] :
( ( ( ! [SY83: $i] :
( ~ ( in @ SY83 @ SV1 )
| ~ ( in @ SV15 @ SY83 )
| ( in @ SV15 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK48_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(572,plain,
! [SV1: $i] :
( ( ( ( ( sK48_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(573,plain,
! [SV1: $i] :
( ( ( ! [SY43: $i] :
~ ~ ( ~ ( in @ SY43 @ ( sK48_SY8 @ SV1 ) )
| ~ ! [SY44: $i] :
( ~ ( in @ SY44 @ ( sK48_SY8 @ SV1 ) )
| ( SY43 = SY44 )
| ( in @ SY43 @ SY44 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(574,plain,
! [SV16: $i,SV1: $i] :
( ( ( ! [SY84: $i] :
( ~ ( in @ SY84 @ SV1 )
| ~ ( in @ SV16 @ SY84 )
| ( in @ SV16 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK49_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(575,plain,
! [SV1: $i] :
( ( ( ( ( sK49_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(576,plain,
! [SV1: $i] :
( ( ( ! [SY45: $i] :
~ ~ ( ~ ( in @ SY45 @ ( sK49_SY8 @ SV1 ) )
| ~ ! [SY46: $i] :
( ~ ( in @ SY46 @ ( sK49_SY8 @ SV1 ) )
| ( SY45 = SY46 )
| ( in @ SY45 @ SY46 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(577,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK72_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(578,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK72_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY61: $i] :
~ ~ ( ~ ( in @ SY61 @ ( sK72_SY8 @ SV1 ) )
| ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ ( sK72_SY8 @ SV1 ) )
| ( SY61 = SY62 )
| ( in @ SY61 @ SY62 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(579,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK73_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(580,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK73_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY63: $i] :
~ ~ ( ~ ( in @ SY63 @ ( sK73_SY8 @ SV1 ) )
| ~ ! [SY64: $i] :
( ~ ( in @ SY64 @ ( sK73_SY8 @ SV1 ) )
| ( SY63 = SY64 )
| ( in @ SY63 @ SY64 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(581,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK92_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK92_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY85: $i] :
~ ~ ( ~ ( in @ SY85 @ ( sK92_SY8 @ SV1 ) )
| ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ ( sK92_SY8 @ SV1 ) )
| ( SY85 = SY86 )
| ( in @ SY85 @ SY86 ) ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[487]) ).
thf(582,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK93_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK93_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY87: $i] :
~ ~ ( ~ ( in @ SY87 @ ( sK93_SY8 @ SV1 ) )
| ~ ! [SY88: $i] :
( ~ ( in @ SY88 @ ( sK93_SY8 @ SV1 ) )
| ( SY87 = SY88 )
| ( in @ SY87 @ SY88 ) ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[488]) ).
thf(583,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK94_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK94_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY89: $i] :
~ ~ ( ~ ( in @ SY89 @ ( sK94_SY8 @ SV1 ) )
| ~ ! [SY90: $i] :
( ~ ( in @ SY90 @ ( sK94_SY8 @ SV1 ) )
| ( SY89 = SY90 )
| ( in @ SY89 @ SY90 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[489]) ).
thf(584,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK95_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK95_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY91: $i] :
~ ~ ( ~ ( in @ SY91 @ ( sK95_SY8 @ SV1 ) )
| ~ ! [SY92: $i] :
( ~ ( in @ SY92 @ ( sK95_SY8 @ SV1 ) )
| ( SY91 = SY92 )
| ( in @ SY91 @ SY92 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[490]) ).
thf(585,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK74_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(586,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK74_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY65: $i] :
~ ~ ( ~ ( in @ SY65 @ ( sK74_SY8 @ SV1 ) )
| ~ ! [SY66: $i] :
( ~ ( in @ SY66 @ ( sK74_SY8 @ SV1 ) )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(587,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK75_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(588,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK75_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY67: $i] :
~ ~ ( ~ ( in @ SY67 @ ( sK75_SY8 @ SV1 ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ ( sK75_SY8 @ SV1 ) )
| ( SY67 = SY68 )
| ( in @ SY67 @ SY68 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(589,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK76_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(590,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK76_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY69: $i] :
~ ~ ( ~ ( in @ SY69 @ ( sK76_SY8 @ SV1 ) )
| ~ ! [SY70: $i] :
( ~ ( in @ SY70 @ ( sK76_SY8 @ SV1 ) )
| ( SY69 = SY70 )
| ( in @ SY69 @ SY70 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(591,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK77_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(592,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK77_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY71: $i] :
~ ~ ( ~ ( in @ SY71 @ ( sK77_SY8 @ SV1 ) )
| ~ ! [SY72: $i] :
( ~ ( in @ SY72 @ ( sK77_SY8 @ SV1 ) )
| ( SY71 = SY72 )
| ( in @ SY71 @ SY72 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(593,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(594,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(595,plain,
! [SV1: $i] :
( ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(596,plain,
! [SV1: $i] :
( ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(597,plain,
! [SV1: $i] :
( ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(598,plain,
! [SV1: $i] :
( ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(599,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(600,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(601,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(602,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(603,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK78_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(604,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(605,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[506]) ).
thf(606,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[507]) ).
thf(607,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK79_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(608,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(609,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(610,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK80_SY47 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(611,plain,
! [SV1: $i] :
( ( ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
| ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
| ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(612,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(613,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK81_SY48 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(614,plain,
! [SV1: $i] :
( ( ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
| ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
| ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(615,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(616,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(617,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK82_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(618,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(619,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[516]) ).
thf(620,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[517]) ).
thf(621,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK83_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(622,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(623,plain,
! [SV13: $i,SV1: $i,SV17: $i] :
( ( ( ~ ( in @ SV17 @ SV1 )
| ~ ( in @ SV13 @ SV17 )
| ( in @ SV13 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK40_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(624,plain,
! [SV1: $i] :
( ( ( ( sK40_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(625,plain,
! [SV1: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
| ~ ! [SY93: $i] :
( ~ ( in @ SY93 @ ( sK40_SY8 @ SV1 ) )
| ( SV18 = SY93 )
| ( in @ SV18 @ SY93 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(626,plain,
! [SV14: $i,SV1: $i,SV19: $i] :
( ( ( ~ ( in @ SV19 @ SV1 )
| ~ ( in @ SV14 @ SV19 )
| ( in @ SV14 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK41_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(627,plain,
! [SV1: $i] :
( ( ( ( sK41_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(628,plain,
! [SV1: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
| ~ ! [SY94: $i] :
( ~ ( in @ SY94 @ ( sK41_SY8 @ SV1 ) )
| ( SV20 = SY94 )
| ( in @ SV20 @ SY94 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(629,plain,
! [SV1: $i] :
( ( ( in @ ( sK60_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(630,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK60_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(631,plain,
! [SV1: $i] :
( ( ( ~ ! [SY49: $i] :
~ ~ ( ~ ( in @ SY49 @ ( sK60_SY8 @ SV1 ) )
| ~ ! [SY50: $i] :
( ~ ( in @ SY50 @ ( sK60_SY8 @ SV1 ) )
| ( SY49 = SY50 )
| ( in @ SY49 @ SY50 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(632,plain,
! [SV1: $i] :
( ( ( in @ ( sK61_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(633,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK61_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[528]) ).
thf(634,plain,
! [SV1: $i] :
( ( ( ~ ! [SY51: $i] :
~ ~ ( ~ ( in @ SY51 @ ( sK61_SY8 @ SV1 ) )
| ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ ( sK61_SY8 @ SV1 ) )
| ( SY51 = SY52 )
| ( in @ SY51 @ SY52 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[528]) ).
thf(635,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK84_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(636,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK84_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY75: $i] :
~ ~ ( ~ ( in @ SY75 @ ( sK84_SY8 @ SV1 ) )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ ( sK84_SY8 @ SV1 ) )
| ( SY75 = SY76 )
| ( in @ SY75 @ SY76 ) ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(637,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK85_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(638,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK85_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY77: $i] :
~ ~ ( ~ ( in @ SY77 @ ( sK85_SY8 @ SV1 ) )
| ~ ! [SY78: $i] :
( ~ ( in @ SY78 @ ( sK85_SY8 @ SV1 ) )
| ( SY77 = SY78 )
| ( in @ SY77 @ SY78 ) ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(639,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK86_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(640,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK86_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY79: $i] :
~ ~ ( ~ ( in @ SY79 @ ( sK86_SY8 @ SV1 ) )
| ~ ! [SY80: $i] :
( ~ ( in @ SY80 @ ( sK86_SY8 @ SV1 ) )
| ( SY79 = SY80 )
| ( in @ SY79 @ SY80 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(641,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK87_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(642,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK87_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY81: $i] :
~ ~ ( ~ ( in @ SY81 @ ( sK87_SY8 @ SV1 ) )
| ~ ! [SY82: $i] :
( ~ ( in @ SY82 @ ( sK87_SY8 @ SV1 ) )
| ( SY81 = SY82 )
| ( in @ SY81 @ SY82 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(643,plain,
! [SV1: $i] :
( ( ( in @ ( sK62_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(644,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK62_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(645,plain,
! [SV1: $i] :
( ( ( ~ ! [SY53: $i] :
~ ~ ( ~ ( in @ SY53 @ ( sK62_SY8 @ SV1 ) )
| ~ ! [SY54: $i] :
( ~ ( in @ SY54 @ ( sK62_SY8 @ SV1 ) )
| ( SY53 = SY54 )
| ( in @ SY53 @ SY54 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(646,plain,
! [SV1: $i] :
( ( ( in @ ( sK63_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(647,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK63_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(648,plain,
! [SV1: $i] :
( ( ( ~ ! [SY55: $i] :
~ ~ ( ~ ( in @ SY55 @ ( sK63_SY8 @ SV1 ) )
| ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ ( sK63_SY8 @ SV1 ) )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(649,plain,
! [SV1: $i] :
( ( ( in @ ( sK64_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(650,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK64_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(651,plain,
! [SV1: $i] :
( ( ( ~ ! [SY57: $i] :
~ ~ ( ~ ( in @ SY57 @ ( sK64_SY8 @ SV1 ) )
| ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( sK64_SY8 @ SV1 ) )
| ( SY57 = SY58 )
| ( in @ SY57 @ SY58 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(652,plain,
! [SV1: $i] :
( ( ( in @ ( sK65_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(653,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK65_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(654,plain,
! [SV1: $i] :
( ( ( ~ ! [SY59: $i] :
~ ~ ( ~ ( in @ SY59 @ ( sK65_SY8 @ SV1 ) )
| ~ ! [SY60: $i] :
( ~ ( in @ SY60 @ ( sK65_SY8 @ SV1 ) )
| ( SY59 = SY60 )
| ( in @ SY59 @ SY60 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(655,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK100_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK100_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY95: $i] :
~ ~ ( ~ ( in @ SY95 @ ( sK100_SY8 @ SV1 ) )
| ~ ! [SY96: $i] :
( ~ ( in @ SY96 @ ( sK100_SY8 @ SV1 ) )
| ( SY95 = SY96 )
| ( in @ SY95 @ SY96 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[541]) ).
thf(656,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK101_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK101_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY97: $i] :
~ ~ ( ~ ( in @ SY97 @ ( sK101_SY8 @ SV1 ) )
| ~ ! [SY98: $i] :
( ~ ( in @ SY98 @ ( sK101_SY8 @ SV1 ) )
| ( SY97 = SY98 )
| ( in @ SY97 @ SY98 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[542]) ).
thf(657,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(658,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(659,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(660,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(661,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK102_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK102_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY99: $i] :
~ ~ ( ~ ( in @ SY99 @ ( sK102_SY8 @ SV1 ) )
| ~ ! [SY100: $i] :
( ~ ( in @ SY100 @ ( sK102_SY8 @ SV1 ) )
| ( SY99 = SY100 )
| ( in @ SY99 @ SY100 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[547]) ).
thf(662,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK103_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK103_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY101: $i] :
~ ~ ( ~ ( in @ SY101 @ ( sK103_SY8 @ SV1 ) )
| ~ ! [SY102: $i] :
( ~ ( in @ SY102 @ ( sK103_SY8 @ SV1 ) )
| ( SY101 = SY102 )
| ( in @ SY101 @ SY102 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[548]) ).
thf(663,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK104_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK104_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY103: $i] :
~ ~ ( ~ ( in @ SY103 @ ( sK104_SY8 @ SV1 ) )
| ~ ! [SY104: $i] :
( ~ ( in @ SY104 @ ( sK104_SY8 @ SV1 ) )
| ( SY103 = SY104 )
| ( in @ SY103 @ SY104 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[549]) ).
thf(664,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK105_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK105_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY105: $i] :
~ ~ ( ~ ( in @ SY105 @ ( sK105_SY8 @ SV1 ) )
| ~ ! [SY106: $i] :
( ~ ( in @ SY106 @ ( sK105_SY8 @ SV1 ) )
| ( SY105 = SY106 )
| ( in @ SY105 @ SY106 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[550]) ).
thf(665,plain,
! [SV1: $i] :
( ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(666,plain,
! [SV1: $i] :
( ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(667,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK88_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(668,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(669,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK89_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(670,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(671,plain,
! [SV1: $i] :
( ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(672,plain,
! [SV1: $i] :
( ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(673,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[557]) ).
thf(674,plain,
! [SV1: $i] :
( ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(675,plain,
! [SV1: $i] :
( ( ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
| ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[559]) ).
thf(676,plain,
! [SV1: $i] :
( ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[559]) ).
thf(677,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[560]) ).
thf(678,plain,
! [SV1: $i] :
( ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(679,plain,
! [SV1: $i] :
( ( ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
| ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(680,plain,
! [SV1: $i] :
( ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(681,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK108_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK108_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY107: $i] :
~ ~ ( ~ ( in @ SY107 @ ( sK108_SY8 @ SV1 ) )
| ~ ! [SY108: $i] :
( ~ ( in @ SY108 @ ( sK108_SY8 @ SV1 ) )
| ( SY107 = SY108 )
| ( in @ SY107 @ SY108 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[563]) ).
thf(682,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK109_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK109_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY109: $i] :
~ ~ ( ~ ( in @ SY109 @ ( sK109_SY8 @ SV1 ) )
| ~ ! [SY110: $i] :
( ~ ( in @ SY110 @ ( sK109_SY8 @ SV1 ) )
| ( SY109 = SY110 )
| ( in @ SY109 @ SY110 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[564]) ).
thf(683,plain,
! [SV1: $i] :
( ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(684,plain,
! [SV1: $i] :
( ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(685,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK90_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(686,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(687,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK91_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(688,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(689,plain,
! [SV1: $i] :
( ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(690,plain,
! [SV1: $i] :
( ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(691,plain,
! [SV15: $i,SV1: $i,SV21: $i] :
( ( ( ~ ( in @ SV21 @ SV1 )
| ~ ( in @ SV15 @ SV21 )
| ( in @ SV15 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK48_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(692,plain,
! [SV1: $i] :
( ( ( ( sK48_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(693,plain,
! [SV1: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
| ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ ( sK48_SY8 @ SV1 ) )
| ( SV22 = SY111 )
| ( in @ SV22 @ SY111 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(694,plain,
! [SV16: $i,SV1: $i,SV23: $i] :
( ( ( ~ ( in @ SV23 @ SV1 )
| ~ ( in @ SV16 @ SV23 )
| ( in @ SV16 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK49_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(695,plain,
! [SV1: $i] :
( ( ( ( sK49_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(696,plain,
! [SV1: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
| ~ ! [SY112: $i] :
( ~ ( in @ SY112 @ ( sK49_SY8 @ SV1 ) )
| ( SV24 = SY112 )
| ( in @ SV24 @ SY112 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(697,plain,
! [SV1: $i] :
( ( ( in @ ( sK72_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(698,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK72_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(699,plain,
! [SV1: $i] :
( ( ( ~ ! [SY61: $i] :
~ ~ ( ~ ( in @ SY61 @ ( sK72_SY8 @ SV1 ) )
| ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ ( sK72_SY8 @ SV1 ) )
| ( SY61 = SY62 )
| ( in @ SY61 @ SY62 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(700,plain,
! [SV1: $i] :
( ( ( in @ ( sK73_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[579]) ).
thf(701,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK73_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(702,plain,
! [SV1: $i] :
( ( ( ~ ! [SY63: $i] :
~ ~ ( ~ ( in @ SY63 @ ( sK73_SY8 @ SV1 ) )
| ~ ! [SY64: $i] :
( ~ ( in @ SY64 @ ( sK73_SY8 @ SV1 ) )
| ( SY63 = SY64 )
| ( in @ SY63 @ SY64 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(703,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK92_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(704,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK92_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY85: $i] :
~ ~ ( ~ ( in @ SY85 @ ( sK92_SY8 @ SV1 ) )
| ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ ( sK92_SY8 @ SV1 ) )
| ( SY85 = SY86 )
| ( in @ SY85 @ SY86 ) ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(705,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK93_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(706,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK93_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY87: $i] :
~ ~ ( ~ ( in @ SY87 @ ( sK93_SY8 @ SV1 ) )
| ~ ! [SY88: $i] :
( ~ ( in @ SY88 @ ( sK93_SY8 @ SV1 ) )
| ( SY87 = SY88 )
| ( in @ SY87 @ SY88 ) ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(707,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK94_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(708,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK94_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY89: $i] :
~ ~ ( ~ ( in @ SY89 @ ( sK94_SY8 @ SV1 ) )
| ~ ! [SY90: $i] :
( ~ ( in @ SY90 @ ( sK94_SY8 @ SV1 ) )
| ( SY89 = SY90 )
| ( in @ SY89 @ SY90 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(709,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK95_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(710,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK95_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY91: $i] :
~ ~ ( ~ ( in @ SY91 @ ( sK95_SY8 @ SV1 ) )
| ~ ! [SY92: $i] :
( ~ ( in @ SY92 @ ( sK95_SY8 @ SV1 ) )
| ( SY91 = SY92 )
| ( in @ SY91 @ SY92 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(711,plain,
! [SV1: $i] :
( ( ( in @ ( sK74_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(712,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK74_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[586]) ).
thf(713,plain,
! [SV1: $i] :
( ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( in @ SY65 @ ( sK74_SY8 @ SV1 ) )
| ~ ! [SY66: $i] :
( ~ ( in @ SY66 @ ( sK74_SY8 @ SV1 ) )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[586]) ).
thf(714,plain,
! [SV1: $i] :
( ( ( in @ ( sK75_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(715,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK75_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(716,plain,
! [SV1: $i] :
( ( ( ~ ! [SY67: $i] :
~ ~ ( ~ ( in @ SY67 @ ( sK75_SY8 @ SV1 ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ ( sK75_SY8 @ SV1 ) )
| ( SY67 = SY68 )
| ( in @ SY67 @ SY68 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(717,plain,
! [SV1: $i] :
( ( ( in @ ( sK76_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(718,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK76_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(719,plain,
! [SV1: $i] :
( ( ( ~ ! [SY69: $i] :
~ ~ ( ~ ( in @ SY69 @ ( sK76_SY8 @ SV1 ) )
| ~ ! [SY70: $i] :
( ~ ( in @ SY70 @ ( sK76_SY8 @ SV1 ) )
| ( SY69 = SY70 )
| ( in @ SY69 @ SY70 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(720,plain,
! [SV1: $i] :
( ( ( in @ ( sK77_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(721,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK77_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(722,plain,
! [SV1: $i] :
( ( ( ~ ! [SY71: $i] :
~ ~ ( ~ ( in @ SY71 @ ( sK77_SY8 @ SV1 ) )
| ~ ! [SY72: $i] :
( ~ ( in @ SY72 @ ( sK77_SY8 @ SV1 ) )
| ( SY71 = SY72 )
| ( in @ SY71 @ SY72 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(723,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK110_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK110_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY113: $i] :
~ ~ ( ~ ( in @ SY113 @ ( sK110_SY8 @ SV1 ) )
| ~ ! [SY114: $i] :
( ~ ( in @ SY114 @ ( sK110_SY8 @ SV1 ) )
| ( SY113 = SY114 )
| ( in @ SY113 @ SY114 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[593]) ).
thf(724,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK111_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK111_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY115: $i] :
~ ~ ( ~ ( in @ SY115 @ ( sK111_SY8 @ SV1 ) )
| ~ ! [SY116: $i] :
( ~ ( in @ SY116 @ ( sK111_SY8 @ SV1 ) )
| ( SY115 = SY116 )
| ( in @ SY115 @ SY116 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[594]) ).
thf(725,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(726,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(727,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(728,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(729,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK112_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK112_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY117: $i] :
~ ~ ( ~ ( in @ SY117 @ ( sK112_SY8 @ SV1 ) )
| ~ ! [SY118: $i] :
( ~ ( in @ SY118 @ ( sK112_SY8 @ SV1 ) )
| ( SY117 = SY118 )
| ( in @ SY117 @ SY118 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[599]) ).
thf(730,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK113_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK113_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY119: $i] :
~ ~ ( ~ ( in @ SY119 @ ( sK113_SY8 @ SV1 ) )
| ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ ( sK113_SY8 @ SV1 ) )
| ( SY119 = SY120 )
| ( in @ SY119 @ SY120 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[600]) ).
thf(731,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK114_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK114_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY121: $i] :
~ ~ ( ~ ( in @ SY121 @ ( sK114_SY8 @ SV1 ) )
| ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ ( sK114_SY8 @ SV1 ) )
| ( SY121 = SY122 )
| ( in @ SY121 @ SY122 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[601]) ).
thf(732,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK115_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK115_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY123: $i] :
~ ~ ( ~ ( in @ SY123 @ ( sK115_SY8 @ SV1 ) )
| ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ ( sK115_SY8 @ SV1 ) )
| ( SY123 = SY124 )
| ( in @ SY123 @ SY124 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[602]) ).
thf(733,plain,
! [SV1: $i] :
( ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(734,plain,
! [SV1: $i] :
( ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(735,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK96_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(736,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(737,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK97_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[606]) ).
thf(738,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[606]) ).
thf(739,plain,
! [SV1: $i] :
( ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(740,plain,
! [SV1: $i] :
( ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(741,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[609]) ).
thf(742,plain,
! [SV1: $i] :
( ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(743,plain,
! [SV1: $i] :
( ( ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
| ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[611]) ).
thf(744,plain,
! [SV1: $i] :
( ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[611]) ).
thf(745,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[612]) ).
thf(746,plain,
! [SV1: $i] :
( ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(747,plain,
! [SV1: $i] :
( ( ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
| ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[614]) ).
thf(748,plain,
! [SV1: $i] :
( ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[614]) ).
thf(749,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK118_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK118_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY125: $i] :
~ ~ ( ~ ( in @ SY125 @ ( sK118_SY8 @ SV1 ) )
| ~ ! [SY126: $i] :
( ~ ( in @ SY126 @ ( sK118_SY8 @ SV1 ) )
| ( SY125 = SY126 )
| ( in @ SY125 @ SY126 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[615]) ).
thf(750,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK119_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK119_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY127: $i] :
~ ~ ( ~ ( in @ SY127 @ ( sK119_SY8 @ SV1 ) )
| ~ ! [SY128: $i] :
( ~ ( in @ SY128 @ ( sK119_SY8 @ SV1 ) )
| ( SY127 = SY128 )
| ( in @ SY127 @ SY128 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[616]) ).
thf(751,plain,
! [SV1: $i] :
( ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(752,plain,
! [SV1: $i] :
( ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(753,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK98_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(754,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(755,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK99_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(756,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(757,plain,
! [SV1: $i] :
( ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(758,plain,
! [SV1: $i] :
( ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(759,plain,
! [SV13: $i,SV1: $i,SV17: $i] :
( ( ( ~ ( in @ SV17 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV13 @ SV17 )
| ( in @ SV13 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK40_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(760,plain,
! [SV25: $i,SV1: $i] :
( ( ( ! [SY129: $i] :
( ~ ( in @ SY129 @ SV1 )
| ~ ( in @ SV25 @ SY129 )
| ( in @ SV25 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK40_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(761,plain,
! [SV1: $i,SV18: $i] :
( ( ( ~ ( ~ ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
| ~ ! [SY93: $i] :
( ~ ( in @ SY93 @ ( sK40_SY8 @ SV1 ) )
| ( SV18 = SY93 )
| ( in @ SV18 @ SY93 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(762,plain,
! [SV14: $i,SV1: $i,SV19: $i] :
( ( ( ~ ( in @ SV19 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV14 @ SV19 )
| ( in @ SV14 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK41_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(763,plain,
! [SV26: $i,SV1: $i] :
( ( ( ! [SY130: $i] :
( ~ ( in @ SY130 @ SV1 )
| ~ ( in @ SV26 @ SY130 )
| ( in @ SV26 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK41_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(764,plain,
! [SV1: $i,SV20: $i] :
( ( ( ~ ( ~ ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
| ~ ! [SY94: $i] :
( ~ ( in @ SY94 @ ( sK41_SY8 @ SV1 ) )
| ( SV20 = SY94 )
| ( in @ SV20 @ SY94 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(765,plain,
! [SV27: $i,SV1: $i] :
( ( ( ! [SY131: $i] :
( ~ ( in @ SY131 @ SV1 )
| ~ ( in @ SV27 @ SY131 )
| ( in @ SV27 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK60_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(766,plain,
! [SV1: $i] :
( ( ( ( ( sK60_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(767,plain,
! [SV1: $i] :
( ( ( ! [SY49: $i] :
~ ~ ( ~ ( in @ SY49 @ ( sK60_SY8 @ SV1 ) )
| ~ ! [SY50: $i] :
( ~ ( in @ SY50 @ ( sK60_SY8 @ SV1 ) )
| ( SY49 = SY50 )
| ( in @ SY49 @ SY50 ) ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(768,plain,
! [SV28: $i,SV1: $i] :
( ( ( ! [SY132: $i] :
( ~ ( in @ SY132 @ SV1 )
| ~ ( in @ SV28 @ SY132 )
| ( in @ SV28 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK61_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(769,plain,
! [SV1: $i] :
( ( ( ( ( sK61_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(770,plain,
! [SV1: $i] :
( ( ( ! [SY51: $i] :
~ ~ ( ~ ( in @ SY51 @ ( sK61_SY8 @ SV1 ) )
| ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ ( sK61_SY8 @ SV1 ) )
| ( SY51 = SY52 )
| ( in @ SY51 @ SY52 ) ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(771,plain,
! [SV1: $i] :
( ( ( in @ ( sK84_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(772,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK84_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[636]) ).
thf(773,plain,
! [SV1: $i] :
( ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( in @ SY75 @ ( sK84_SY8 @ SV1 ) )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ ( sK84_SY8 @ SV1 ) )
| ( SY75 = SY76 )
| ( in @ SY75 @ SY76 ) ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[636]) ).
thf(774,plain,
! [SV1: $i] :
( ( ( in @ ( sK85_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(775,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK85_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(776,plain,
! [SV1: $i] :
( ( ( ~ ! [SY77: $i] :
~ ~ ( ~ ( in @ SY77 @ ( sK85_SY8 @ SV1 ) )
| ~ ! [SY78: $i] :
( ~ ( in @ SY78 @ ( sK85_SY8 @ SV1 ) )
| ( SY77 = SY78 )
| ( in @ SY77 @ SY78 ) ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(777,plain,
! [SV1: $i] :
( ( ( in @ ( sK86_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(778,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK86_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(779,plain,
! [SV1: $i] :
( ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( in @ SY79 @ ( sK86_SY8 @ SV1 ) )
| ~ ! [SY80: $i] :
( ~ ( in @ SY80 @ ( sK86_SY8 @ SV1 ) )
| ( SY79 = SY80 )
| ( in @ SY79 @ SY80 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(780,plain,
! [SV1: $i] :
( ( ( in @ ( sK87_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(781,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK87_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(782,plain,
! [SV1: $i] :
( ( ( ~ ! [SY81: $i] :
~ ~ ( ~ ( in @ SY81 @ ( sK87_SY8 @ SV1 ) )
| ~ ! [SY82: $i] :
( ~ ( in @ SY82 @ ( sK87_SY8 @ SV1 ) )
| ( SY81 = SY82 )
| ( in @ SY81 @ SY82 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(783,plain,
! [SV29: $i,SV1: $i] :
( ( ( ! [SY133: $i] :
( ~ ( in @ SY133 @ SV1 )
| ~ ( in @ SV29 @ SY133 )
| ( in @ SV29 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK62_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(784,plain,
! [SV1: $i] :
( ( ( ( ( sK62_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(785,plain,
! [SV1: $i] :
( ( ( ! [SY53: $i] :
~ ~ ( ~ ( in @ SY53 @ ( sK62_SY8 @ SV1 ) )
| ~ ! [SY54: $i] :
( ~ ( in @ SY54 @ ( sK62_SY8 @ SV1 ) )
| ( SY53 = SY54 )
| ( in @ SY53 @ SY54 ) ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(786,plain,
! [SV30: $i,SV1: $i] :
( ( ( ! [SY134: $i] :
( ~ ( in @ SY134 @ SV1 )
| ~ ( in @ SV30 @ SY134 )
| ( in @ SV30 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK63_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(787,plain,
! [SV1: $i] :
( ( ( ( ( sK63_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(788,plain,
! [SV1: $i] :
( ( ( ! [SY55: $i] :
~ ~ ( ~ ( in @ SY55 @ ( sK63_SY8 @ SV1 ) )
| ~ ! [SY56: $i] :
( ~ ( in @ SY56 @ ( sK63_SY8 @ SV1 ) )
| ( SY55 = SY56 )
| ( in @ SY55 @ SY56 ) ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(789,plain,
! [SV31: $i,SV1: $i] :
( ( ( ! [SY135: $i] :
( ~ ( in @ SY135 @ SV1 )
| ~ ( in @ SV31 @ SY135 )
| ( in @ SV31 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK64_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(790,plain,
! [SV1: $i] :
( ( ( ( ( sK64_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[650]) ).
thf(791,plain,
! [SV1: $i] :
( ( ( ! [SY57: $i] :
~ ~ ( ~ ( in @ SY57 @ ( sK64_SY8 @ SV1 ) )
| ~ ! [SY58: $i] :
( ~ ( in @ SY58 @ ( sK64_SY8 @ SV1 ) )
| ( SY57 = SY58 )
| ( in @ SY57 @ SY58 ) ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(792,plain,
! [SV32: $i,SV1: $i] :
( ( ( ! [SY136: $i] :
( ~ ( in @ SY136 @ SV1 )
| ~ ( in @ SV32 @ SY136 )
| ( in @ SV32 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK65_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(793,plain,
! [SV1: $i] :
( ( ( ( ( sK65_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(794,plain,
! [SV1: $i] :
( ( ( ! [SY59: $i] :
~ ~ ( ~ ( in @ SY59 @ ( sK65_SY8 @ SV1 ) )
| ~ ! [SY60: $i] :
( ~ ( in @ SY60 @ ( sK65_SY8 @ SV1 ) )
| ( SY59 = SY60 )
| ( in @ SY59 @ SY60 ) ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[654]) ).
thf(795,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK100_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(796,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK100_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY95: $i] :
~ ~ ( ~ ( in @ SY95 @ ( sK100_SY8 @ SV1 ) )
| ~ ! [SY96: $i] :
( ~ ( in @ SY96 @ ( sK100_SY8 @ SV1 ) )
| ( SY95 = SY96 )
| ( in @ SY95 @ SY96 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(797,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK101_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(798,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK101_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY97: $i] :
~ ~ ( ~ ( in @ SY97 @ ( sK101_SY8 @ SV1 ) )
| ~ ! [SY98: $i] :
( ~ ( in @ SY98 @ ( sK101_SY8 @ SV1 ) )
| ( SY97 = SY98 )
| ( in @ SY97 @ SY98 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(799,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK120_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK120_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY137: $i] :
~ ~ ( ~ ( in @ SY137 @ ( sK120_SY8 @ SV1 ) )
| ~ ! [SY138: $i] :
( ~ ( in @ SY138 @ ( sK120_SY8 @ SV1 ) )
| ( SY137 = SY138 )
| ( in @ SY137 @ SY138 ) ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[657]) ).
thf(800,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK121_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK121_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY139: $i] :
~ ~ ( ~ ( in @ SY139 @ ( sK121_SY8 @ SV1 ) )
| ~ ! [SY140: $i] :
( ~ ( in @ SY140 @ ( sK121_SY8 @ SV1 ) )
| ( SY139 = SY140 )
| ( in @ SY139 @ SY140 ) ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[658]) ).
thf(801,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK122_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK122_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY141: $i] :
~ ~ ( ~ ( in @ SY141 @ ( sK122_SY8 @ SV1 ) )
| ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ ( sK122_SY8 @ SV1 ) )
| ( SY141 = SY142 )
| ( in @ SY141 @ SY142 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[659]) ).
thf(802,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK123_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK123_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY143: $i] :
~ ~ ( ~ ( in @ SY143 @ ( sK123_SY8 @ SV1 ) )
| ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ ( sK123_SY8 @ SV1 ) )
| ( SY143 = SY144 )
| ( in @ SY143 @ SY144 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[660]) ).
thf(803,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK102_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(804,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK102_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY99: $i] :
~ ~ ( ~ ( in @ SY99 @ ( sK102_SY8 @ SV1 ) )
| ~ ! [SY100: $i] :
( ~ ( in @ SY100 @ ( sK102_SY8 @ SV1 ) )
| ( SY99 = SY100 )
| ( in @ SY99 @ SY100 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(805,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK103_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(806,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK103_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY101: $i] :
~ ~ ( ~ ( in @ SY101 @ ( sK103_SY8 @ SV1 ) )
| ~ ! [SY102: $i] :
( ~ ( in @ SY102 @ ( sK103_SY8 @ SV1 ) )
| ( SY101 = SY102 )
| ( in @ SY101 @ SY102 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(807,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK104_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(808,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK104_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY103: $i] :
~ ~ ( ~ ( in @ SY103 @ ( sK104_SY8 @ SV1 ) )
| ~ ! [SY104: $i] :
( ~ ( in @ SY104 @ ( sK104_SY8 @ SV1 ) )
| ( SY103 = SY104 )
| ( in @ SY103 @ SY104 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(809,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK105_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(810,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK105_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY105: $i] :
~ ~ ( ~ ( in @ SY105 @ ( sK105_SY8 @ SV1 ) )
| ~ ! [SY106: $i] :
( ~ ( in @ SY106 @ ( sK105_SY8 @ SV1 ) )
| ( SY105 = SY106 )
| ( in @ SY105 @ SY106 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(811,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(812,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(813,plain,
! [SV1: $i] :
( ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(814,plain,
! [SV1: $i] :
( ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[668]) ).
thf(815,plain,
! [SV1: $i] :
( ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(816,plain,
! [SV1: $i] :
( ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(817,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(818,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(819,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK106_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(820,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(821,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(822,plain,
! [SV1: $i] :
( ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(823,plain,
! [SV1: $i] :
( ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(824,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(825,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK107_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[677]) ).
thf(826,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[677]) ).
thf(827,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(828,plain,
! [SV1: $i] :
( ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[679]) ).
thf(829,plain,
! [SV1: $i] :
( ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[679]) ).
thf(830,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(831,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK108_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(832,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK108_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY107: $i] :
~ ~ ( ~ ( in @ SY107 @ ( sK108_SY8 @ SV1 ) )
| ~ ! [SY108: $i] :
( ~ ( in @ SY108 @ ( sK108_SY8 @ SV1 ) )
| ( SY107 = SY108 )
| ( in @ SY107 @ SY108 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(833,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK109_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(834,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK109_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY109: $i] :
~ ~ ( ~ ( in @ SY109 @ ( sK109_SY8 @ SV1 ) )
| ~ ! [SY110: $i] :
( ~ ( in @ SY110 @ ( sK109_SY8 @ SV1 ) )
| ( SY109 = SY110 )
| ( in @ SY109 @ SY110 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(835,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(836,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(837,plain,
! [SV1: $i] :
( ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(838,plain,
! [SV1: $i] :
( ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(839,plain,
! [SV1: $i] :
( ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(840,plain,
! [SV1: $i] :
( ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(841,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(842,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(843,plain,
! [SV15: $i,SV1: $i,SV21: $i] :
( ( ( ~ ( in @ SV21 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV15 @ SV21 )
| ( in @ SV15 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK48_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[691]) ).
thf(844,plain,
! [SV33: $i,SV1: $i] :
( ( ( ! [SY145: $i] :
( ~ ( in @ SY145 @ SV1 )
| ~ ( in @ SV33 @ SY145 )
| ( in @ SV33 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK48_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(845,plain,
! [SV1: $i,SV22: $i] :
( ( ( ~ ( ~ ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
| ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ ( sK48_SY8 @ SV1 ) )
| ( SV22 = SY111 )
| ( in @ SV22 @ SY111 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(846,plain,
! [SV16: $i,SV1: $i,SV23: $i] :
( ( ( ~ ( in @ SV23 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV16 @ SV23 )
| ( in @ SV16 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK49_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(847,plain,
! [SV34: $i,SV1: $i] :
( ( ( ! [SY146: $i] :
( ~ ( in @ SY146 @ SV1 )
| ~ ( in @ SV34 @ SY146 )
| ( in @ SV34 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK49_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(848,plain,
! [SV1: $i,SV24: $i] :
( ( ( ~ ( ~ ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
| ~ ! [SY112: $i] :
( ~ ( in @ SY112 @ ( sK49_SY8 @ SV1 ) )
| ( SV24 = SY112 )
| ( in @ SV24 @ SY112 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(849,plain,
! [SV35: $i,SV1: $i] :
( ( ( ! [SY147: $i] :
( ~ ( in @ SY147 @ SV1 )
| ~ ( in @ SV35 @ SY147 )
| ( in @ SV35 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK72_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(850,plain,
! [SV1: $i] :
( ( ( ( ( sK72_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(851,plain,
! [SV1: $i] :
( ( ( ! [SY61: $i] :
~ ~ ( ~ ( in @ SY61 @ ( sK72_SY8 @ SV1 ) )
| ~ ! [SY62: $i] :
( ~ ( in @ SY62 @ ( sK72_SY8 @ SV1 ) )
| ( SY61 = SY62 )
| ( in @ SY61 @ SY62 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(852,plain,
! [SV36: $i,SV1: $i] :
( ( ( ! [SY148: $i] :
( ~ ( in @ SY148 @ SV1 )
| ~ ( in @ SV36 @ SY148 )
| ( in @ SV36 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK73_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(853,plain,
! [SV1: $i] :
( ( ( ( ( sK73_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(854,plain,
! [SV1: $i] :
( ( ( ! [SY63: $i] :
~ ~ ( ~ ( in @ SY63 @ ( sK73_SY8 @ SV1 ) )
| ~ ! [SY64: $i] :
( ~ ( in @ SY64 @ ( sK73_SY8 @ SV1 ) )
| ( SY63 = SY64 )
| ( in @ SY63 @ SY64 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(855,plain,
! [SV1: $i] :
( ( ( in @ ( sK92_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(856,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK92_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(857,plain,
! [SV1: $i] :
( ( ( ~ ! [SY85: $i] :
~ ~ ( ~ ( in @ SY85 @ ( sK92_SY8 @ SV1 ) )
| ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ ( sK92_SY8 @ SV1 ) )
| ( SY85 = SY86 )
| ( in @ SY85 @ SY86 ) ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(858,plain,
! [SV1: $i] :
( ( ( in @ ( sK93_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[705]) ).
thf(859,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK93_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(860,plain,
! [SV1: $i] :
( ( ( ~ ! [SY87: $i] :
~ ~ ( ~ ( in @ SY87 @ ( sK93_SY8 @ SV1 ) )
| ~ ! [SY88: $i] :
( ~ ( in @ SY88 @ ( sK93_SY8 @ SV1 ) )
| ( SY87 = SY88 )
| ( in @ SY87 @ SY88 ) ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(861,plain,
! [SV1: $i] :
( ( ( in @ ( sK94_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(862,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK94_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(863,plain,
! [SV1: $i] :
( ( ( ~ ! [SY89: $i] :
~ ~ ( ~ ( in @ SY89 @ ( sK94_SY8 @ SV1 ) )
| ~ ! [SY90: $i] :
( ~ ( in @ SY90 @ ( sK94_SY8 @ SV1 ) )
| ( SY89 = SY90 )
| ( in @ SY89 @ SY90 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(864,plain,
! [SV1: $i] :
( ( ( in @ ( sK95_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[709]) ).
thf(865,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK95_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(866,plain,
! [SV1: $i] :
( ( ( ~ ! [SY91: $i] :
~ ~ ( ~ ( in @ SY91 @ ( sK95_SY8 @ SV1 ) )
| ~ ! [SY92: $i] :
( ~ ( in @ SY92 @ ( sK95_SY8 @ SV1 ) )
| ( SY91 = SY92 )
| ( in @ SY91 @ SY92 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(867,plain,
! [SV37: $i,SV1: $i] :
( ( ( ! [SY149: $i] :
( ~ ( in @ SY149 @ SV1 )
| ~ ( in @ SV37 @ SY149 )
| ( in @ SV37 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK74_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(868,plain,
! [SV1: $i] :
( ( ( ( ( sK74_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(869,plain,
! [SV1: $i] :
( ( ( ! [SY65: $i] :
~ ~ ( ~ ( in @ SY65 @ ( sK74_SY8 @ SV1 ) )
| ~ ! [SY66: $i] :
( ~ ( in @ SY66 @ ( sK74_SY8 @ SV1 ) )
| ( SY65 = SY66 )
| ( in @ SY65 @ SY66 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[713]) ).
thf(870,plain,
! [SV38: $i,SV1: $i] :
( ( ( ! [SY150: $i] :
( ~ ( in @ SY150 @ SV1 )
| ~ ( in @ SV38 @ SY150 )
| ( in @ SV38 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK75_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(871,plain,
! [SV1: $i] :
( ( ( ( ( sK75_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(872,plain,
! [SV1: $i] :
( ( ( ! [SY67: $i] :
~ ~ ( ~ ( in @ SY67 @ ( sK75_SY8 @ SV1 ) )
| ~ ! [SY68: $i] :
( ~ ( in @ SY68 @ ( sK75_SY8 @ SV1 ) )
| ( SY67 = SY68 )
| ( in @ SY67 @ SY68 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(873,plain,
! [SV39: $i,SV1: $i] :
( ( ( ! [SY151: $i] :
( ~ ( in @ SY151 @ SV1 )
| ~ ( in @ SV39 @ SY151 )
| ( in @ SV39 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK76_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(874,plain,
! [SV1: $i] :
( ( ( ( ( sK76_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(875,plain,
! [SV1: $i] :
( ( ( ! [SY69: $i] :
~ ~ ( ~ ( in @ SY69 @ ( sK76_SY8 @ SV1 ) )
| ~ ! [SY70: $i] :
( ~ ( in @ SY70 @ ( sK76_SY8 @ SV1 ) )
| ( SY69 = SY70 )
| ( in @ SY69 @ SY70 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(876,plain,
! [SV40: $i,SV1: $i] :
( ( ( ! [SY152: $i] :
( ~ ( in @ SY152 @ SV1 )
| ~ ( in @ SV40 @ SY152 )
| ( in @ SV40 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK77_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(877,plain,
! [SV1: $i] :
( ( ( ( ( sK77_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[721]) ).
thf(878,plain,
! [SV1: $i] :
( ( ( ! [SY71: $i] :
~ ~ ( ~ ( in @ SY71 @ ( sK77_SY8 @ SV1 ) )
| ~ ! [SY72: $i] :
( ~ ( in @ SY72 @ ( sK77_SY8 @ SV1 ) )
| ( SY71 = SY72 )
| ( in @ SY71 @ SY72 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[722]) ).
thf(879,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK110_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(880,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK110_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY113: $i] :
~ ~ ( ~ ( in @ SY113 @ ( sK110_SY8 @ SV1 ) )
| ~ ! [SY114: $i] :
( ~ ( in @ SY114 @ ( sK110_SY8 @ SV1 ) )
| ( SY113 = SY114 )
| ( in @ SY113 @ SY114 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(881,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK111_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(882,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK111_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY115: $i] :
~ ~ ( ~ ( in @ SY115 @ ( sK111_SY8 @ SV1 ) )
| ~ ! [SY116: $i] :
( ~ ( in @ SY116 @ ( sK111_SY8 @ SV1 ) )
| ( SY115 = SY116 )
| ( in @ SY115 @ SY116 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(883,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK124_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK124_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY153: $i] :
~ ~ ( ~ ( in @ SY153 @ ( sK124_SY8 @ SV1 ) )
| ~ ! [SY154: $i] :
( ~ ( in @ SY154 @ ( sK124_SY8 @ SV1 ) )
| ( SY153 = SY154 )
| ( in @ SY153 @ SY154 ) ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[725]) ).
thf(884,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK125_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK125_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY155: $i] :
~ ~ ( ~ ( in @ SY155 @ ( sK125_SY8 @ SV1 ) )
| ~ ! [SY156: $i] :
( ~ ( in @ SY156 @ ( sK125_SY8 @ SV1 ) )
| ( SY155 = SY156 )
| ( in @ SY155 @ SY156 ) ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[726]) ).
thf(885,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK126_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK126_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( in @ SY157 @ ( sK126_SY8 @ SV1 ) )
| ~ ! [SY158: $i] :
( ~ ( in @ SY158 @ ( sK126_SY8 @ SV1 ) )
| ( SY157 = SY158 )
| ( in @ SY157 @ SY158 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[727]) ).
thf(886,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK127_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK127_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY159: $i] :
~ ~ ( ~ ( in @ SY159 @ ( sK127_SY8 @ SV1 ) )
| ~ ! [SY160: $i] :
( ~ ( in @ SY160 @ ( sK127_SY8 @ SV1 ) )
| ( SY159 = SY160 )
| ( in @ SY159 @ SY160 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[728]) ).
thf(887,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK112_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(888,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK112_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY117: $i] :
~ ~ ( ~ ( in @ SY117 @ ( sK112_SY8 @ SV1 ) )
| ~ ! [SY118: $i] :
( ~ ( in @ SY118 @ ( sK112_SY8 @ SV1 ) )
| ( SY117 = SY118 )
| ( in @ SY117 @ SY118 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(889,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK113_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(890,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK113_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY119: $i] :
~ ~ ( ~ ( in @ SY119 @ ( sK113_SY8 @ SV1 ) )
| ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ ( sK113_SY8 @ SV1 ) )
| ( SY119 = SY120 )
| ( in @ SY119 @ SY120 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(891,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK114_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(892,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK114_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY121: $i] :
~ ~ ( ~ ( in @ SY121 @ ( sK114_SY8 @ SV1 ) )
| ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ ( sK114_SY8 @ SV1 ) )
| ( SY121 = SY122 )
| ( in @ SY121 @ SY122 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(893,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK115_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[732]) ).
thf(894,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK115_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY123: $i] :
~ ~ ( ~ ( in @ SY123 @ ( sK115_SY8 @ SV1 ) )
| ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ ( sK115_SY8 @ SV1 ) )
| ( SY123 = SY124 )
| ( in @ SY123 @ SY124 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[732]) ).
thf(895,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(896,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(897,plain,
! [SV1: $i] :
( ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[735]) ).
thf(898,plain,
! [SV1: $i] :
( ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(899,plain,
! [SV1: $i] :
( ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(900,plain,
! [SV1: $i] :
( ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(901,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(902,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(903,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK116_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(904,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(905,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(906,plain,
! [SV1: $i] :
( ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(907,plain,
! [SV1: $i] :
( ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(908,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(909,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK117_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(910,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(911,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(912,plain,
! [SV1: $i] :
( ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[747]) ).
thf(913,plain,
! [SV1: $i] :
( ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ~ ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[747]) ).
thf(914,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(915,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK118_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[749]) ).
thf(916,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK118_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY125: $i] :
~ ~ ( ~ ( in @ SY125 @ ( sK118_SY8 @ SV1 ) )
| ~ ! [SY126: $i] :
( ~ ( in @ SY126 @ ( sK118_SY8 @ SV1 ) )
| ( SY125 = SY126 )
| ( in @ SY125 @ SY126 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[749]) ).
thf(917,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK119_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[750]) ).
thf(918,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK119_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY127: $i] :
~ ~ ( ~ ( in @ SY127 @ ( sK119_SY8 @ SV1 ) )
| ~ ! [SY128: $i] :
( ~ ( in @ SY128 @ ( sK119_SY8 @ SV1 ) )
| ( SY127 = SY128 )
| ( in @ SY127 @ SY128 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[750]) ).
thf(919,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(920,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(921,plain,
! [SV1: $i] :
( ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(922,plain,
! [SV1: $i] :
( ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(923,plain,
! [SV1: $i] :
( ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(924,plain,
! [SV1: $i] :
( ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(925,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(926,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(927,plain,
! [SV13: $i,SV1: $i,SV17: $i] :
( ( ( in @ SV17 @ SV1 )
= $false )
| ( ( ~ ( in @ SV13 @ SV17 )
| ( in @ SV13 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK40_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(928,plain,
! [SV25: $i,SV1: $i,SV41: $i] :
( ( ( ~ ( in @ SV41 @ SV1 )
| ~ ( in @ SV25 @ SV41 )
| ( in @ SV25 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK40_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(929,plain,
! [SV1: $i,SV18: $i] :
( ( ( ~ ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
| ~ ! [SY93: $i] :
( ~ ( in @ SY93 @ ( sK40_SY8 @ SV1 ) )
| ( SV18 = SY93 )
| ( in @ SV18 @ SY93 ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(930,plain,
! [SV14: $i,SV1: $i,SV19: $i] :
( ( ( in @ SV19 @ SV1 )
= $false )
| ( ( ~ ( in @ SV14 @ SV19 )
| ( in @ SV14 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK41_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(931,plain,
! [SV26: $i,SV1: $i,SV42: $i] :
( ( ( ~ ( in @ SV42 @ SV1 )
| ~ ( in @ SV26 @ SV42 )
| ( in @ SV26 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK41_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(932,plain,
! [SV1: $i,SV20: $i] :
( ( ( ~ ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
| ~ ! [SY94: $i] :
( ~ ( in @ SY94 @ ( sK41_SY8 @ SV1 ) )
| ( SV20 = SY94 )
| ( in @ SV20 @ SY94 ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[764]) ).
thf(933,plain,
! [SV27: $i,SV1: $i,SV43: $i] :
( ( ( ~ ( in @ SV43 @ SV1 )
| ~ ( in @ SV27 @ SV43 )
| ( in @ SV27 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK60_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(934,plain,
! [SV1: $i] :
( ( ( ( sK60_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(935,plain,
! [SV1: $i,SV44: $i] :
( ( ( ~ ~ ( ~ ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
| ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ ( sK60_SY8 @ SV1 ) )
| ( SV44 = SY161 )
| ( in @ SV44 @ SY161 ) ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(936,plain,
! [SV28: $i,SV1: $i,SV45: $i] :
( ( ( ~ ( in @ SV45 @ SV1 )
| ~ ( in @ SV28 @ SV45 )
| ( in @ SV28 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK61_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(937,plain,
! [SV1: $i] :
( ( ( ( sK61_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(938,plain,
! [SV1: $i,SV46: $i] :
( ( ( ~ ~ ( ~ ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
| ~ ! [SY162: $i] :
( ~ ( in @ SY162 @ ( sK61_SY8 @ SV1 ) )
| ( SV46 = SY162 )
| ( in @ SV46 @ SY162 ) ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(939,plain,
! [SV47: $i,SV1: $i] :
( ( ( ! [SY163: $i] :
( ~ ( in @ SY163 @ SV1 )
| ~ ( in @ SV47 @ SY163 )
| ( in @ SV47 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK84_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(940,plain,
! [SV1: $i] :
( ( ( ( ( sK84_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(941,plain,
! [SV1: $i] :
( ( ( ! [SY75: $i] :
~ ~ ( ~ ( in @ SY75 @ ( sK84_SY8 @ SV1 ) )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ ( sK84_SY8 @ SV1 ) )
| ( SY75 = SY76 )
| ( in @ SY75 @ SY76 ) ) ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(942,plain,
! [SV48: $i,SV1: $i] :
( ( ( ! [SY164: $i] :
( ~ ( in @ SY164 @ SV1 )
| ~ ( in @ SV48 @ SY164 )
| ( in @ SV48 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK85_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(943,plain,
! [SV1: $i] :
( ( ( ( ( sK85_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(944,plain,
! [SV1: $i] :
( ( ( ! [SY77: $i] :
~ ~ ( ~ ( in @ SY77 @ ( sK85_SY8 @ SV1 ) )
| ~ ! [SY78: $i] :
( ~ ( in @ SY78 @ ( sK85_SY8 @ SV1 ) )
| ( SY77 = SY78 )
| ( in @ SY77 @ SY78 ) ) ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(945,plain,
! [SV49: $i,SV1: $i] :
( ( ( ! [SY165: $i] :
( ~ ( in @ SY165 @ SV1 )
| ~ ( in @ SV49 @ SY165 )
| ( in @ SV49 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK86_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(946,plain,
! [SV1: $i] :
( ( ( ( ( sK86_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[778]) ).
thf(947,plain,
! [SV1: $i] :
( ( ( ! [SY79: $i] :
~ ~ ( ~ ( in @ SY79 @ ( sK86_SY8 @ SV1 ) )
| ~ ! [SY80: $i] :
( ~ ( in @ SY80 @ ( sK86_SY8 @ SV1 ) )
| ( SY79 = SY80 )
| ( in @ SY79 @ SY80 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(948,plain,
! [SV50: $i,SV1: $i] :
( ( ( ! [SY166: $i] :
( ~ ( in @ SY166 @ SV1 )
| ~ ( in @ SV50 @ SY166 )
| ( in @ SV50 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK87_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(949,plain,
! [SV1: $i] :
( ( ( ( ( sK87_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(950,plain,
! [SV1: $i] :
( ( ( ! [SY81: $i] :
~ ~ ( ~ ( in @ SY81 @ ( sK87_SY8 @ SV1 ) )
| ~ ! [SY82: $i] :
( ~ ( in @ SY82 @ ( sK87_SY8 @ SV1 ) )
| ( SY81 = SY82 )
| ( in @ SY81 @ SY82 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(951,plain,
! [SV29: $i,SV1: $i,SV51: $i] :
( ( ( ~ ( in @ SV51 @ SV1 )
| ~ ( in @ SV29 @ SV51 )
| ( in @ SV29 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK62_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(952,plain,
! [SV1: $i] :
( ( ( ( sK62_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(953,plain,
! [SV1: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
| ~ ! [SY167: $i] :
( ~ ( in @ SY167 @ ( sK62_SY8 @ SV1 ) )
| ( SV52 = SY167 )
| ( in @ SV52 @ SY167 ) ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(954,plain,
! [SV30: $i,SV1: $i,SV53: $i] :
( ( ( ~ ( in @ SV53 @ SV1 )
| ~ ( in @ SV30 @ SV53 )
| ( in @ SV30 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK63_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(955,plain,
! [SV1: $i] :
( ( ( ( sK63_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(956,plain,
! [SV1: $i,SV54: $i] :
( ( ( ~ ~ ( ~ ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
| ~ ! [SY168: $i] :
( ~ ( in @ SY168 @ ( sK63_SY8 @ SV1 ) )
| ( SV54 = SY168 )
| ( in @ SV54 @ SY168 ) ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(957,plain,
! [SV31: $i,SV1: $i,SV55: $i] :
( ( ( ~ ( in @ SV55 @ SV1 )
| ~ ( in @ SV31 @ SV55 )
| ( in @ SV31 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK64_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(958,plain,
! [SV1: $i] :
( ( ( ( sK64_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(959,plain,
! [SV1: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
| ~ ! [SY169: $i] :
( ~ ( in @ SY169 @ ( sK64_SY8 @ SV1 ) )
| ( SV56 = SY169 )
| ( in @ SV56 @ SY169 ) ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(960,plain,
! [SV32: $i,SV1: $i,SV57: $i] :
( ( ( ~ ( in @ SV57 @ SV1 )
| ~ ( in @ SV32 @ SV57 )
| ( in @ SV32 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK65_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(961,plain,
! [SV1: $i] :
( ( ( ( sK65_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(962,plain,
! [SV1: $i,SV58: $i] :
( ( ( ~ ~ ( ~ ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
| ~ ! [SY170: $i] :
( ~ ( in @ SY170 @ ( sK65_SY8 @ SV1 ) )
| ( SV58 = SY170 )
| ( in @ SV58 @ SY170 ) ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[794]) ).
thf(963,plain,
! [SV1: $i] :
( ( ( in @ ( sK100_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(964,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK100_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(965,plain,
! [SV1: $i] :
( ( ( ~ ! [SY95: $i] :
~ ~ ( ~ ( in @ SY95 @ ( sK100_SY8 @ SV1 ) )
| ~ ! [SY96: $i] :
( ~ ( in @ SY96 @ ( sK100_SY8 @ SV1 ) )
| ( SY95 = SY96 )
| ( in @ SY95 @ SY96 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(966,plain,
! [SV1: $i] :
( ( ( in @ ( sK101_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(967,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK101_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(968,plain,
! [SV1: $i] :
( ( ( ~ ! [SY97: $i] :
~ ~ ( ~ ( in @ SY97 @ ( sK101_SY8 @ SV1 ) )
| ~ ! [SY98: $i] :
( ~ ( in @ SY98 @ ( sK101_SY8 @ SV1 ) )
| ( SY97 = SY98 )
| ( in @ SY97 @ SY98 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(969,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK120_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(970,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK120_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY137: $i] :
~ ~ ( ~ ( in @ SY137 @ ( sK120_SY8 @ SV1 ) )
| ~ ! [SY138: $i] :
( ~ ( in @ SY138 @ ( sK120_SY8 @ SV1 ) )
| ( SY137 = SY138 )
| ( in @ SY137 @ SY138 ) ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(971,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK121_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[800]) ).
thf(972,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK121_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY139: $i] :
~ ~ ( ~ ( in @ SY139 @ ( sK121_SY8 @ SV1 ) )
| ~ ! [SY140: $i] :
( ~ ( in @ SY140 @ ( sK121_SY8 @ SV1 ) )
| ( SY139 = SY140 )
| ( in @ SY139 @ SY140 ) ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[800]) ).
thf(973,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK122_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[801]) ).
thf(974,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK122_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY141: $i] :
~ ~ ( ~ ( in @ SY141 @ ( sK122_SY8 @ SV1 ) )
| ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ ( sK122_SY8 @ SV1 ) )
| ( SY141 = SY142 )
| ( in @ SY141 @ SY142 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[801]) ).
thf(975,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK123_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[802]) ).
thf(976,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK123_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY143: $i] :
~ ~ ( ~ ( in @ SY143 @ ( sK123_SY8 @ SV1 ) )
| ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ ( sK123_SY8 @ SV1 ) )
| ( SY143 = SY144 )
| ( in @ SY143 @ SY144 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[802]) ).
thf(977,plain,
! [SV1: $i] :
( ( ( in @ ( sK102_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[803]) ).
thf(978,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK102_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[804]) ).
thf(979,plain,
! [SV1: $i] :
( ( ( ~ ! [SY99: $i] :
~ ~ ( ~ ( in @ SY99 @ ( sK102_SY8 @ SV1 ) )
| ~ ! [SY100: $i] :
( ~ ( in @ SY100 @ ( sK102_SY8 @ SV1 ) )
| ( SY99 = SY100 )
| ( in @ SY99 @ SY100 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[804]) ).
thf(980,plain,
! [SV1: $i] :
( ( ( in @ ( sK103_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(981,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK103_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[806]) ).
thf(982,plain,
! [SV1: $i] :
( ( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( in @ SY101 @ ( sK103_SY8 @ SV1 ) )
| ~ ! [SY102: $i] :
( ~ ( in @ SY102 @ ( sK103_SY8 @ SV1 ) )
| ( SY101 = SY102 )
| ( in @ SY101 @ SY102 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[806]) ).
thf(983,plain,
! [SV1: $i] :
( ( ( in @ ( sK104_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(984,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK104_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(985,plain,
! [SV1: $i] :
( ( ( ~ ! [SY103: $i] :
~ ~ ( ~ ( in @ SY103 @ ( sK104_SY8 @ SV1 ) )
| ~ ! [SY104: $i] :
( ~ ( in @ SY104 @ ( sK104_SY8 @ SV1 ) )
| ( SY103 = SY104 )
| ( in @ SY103 @ SY104 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(986,plain,
! [SV1: $i] :
( ( ( in @ ( sK105_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(987,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK105_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(988,plain,
! [SV1: $i] :
( ( ( ~ ! [SY105: $i] :
~ ~ ( ~ ( in @ SY105 @ ( sK105_SY8 @ SV1 ) )
| ~ ! [SY106: $i] :
( ~ ( in @ SY106 @ ( sK105_SY8 @ SV1 ) )
| ( SY105 = SY106 )
| ( in @ SY105 @ SY106 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(989,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK128_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK128_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY171: $i] :
~ ~ ( ~ ( in @ SY171 @ ( sK128_SY8 @ SV1 ) )
| ~ ! [SY172: $i] :
( ~ ( in @ SY172 @ ( sK128_SY8 @ SV1 ) )
| ( SY171 = SY172 )
| ( in @ SY171 @ SY172 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[811]) ).
thf(990,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK129_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK129_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY173: $i] :
~ ~ ( ~ ( in @ SY173 @ ( sK129_SY8 @ SV1 ) )
| ~ ! [SY174: $i] :
( ~ ( in @ SY174 @ ( sK129_SY8 @ SV1 ) )
| ( SY173 = SY174 )
| ( in @ SY173 @ SY174 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[812]) ).
thf(991,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(992,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(993,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(994,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(995,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK130_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK130_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY175: $i] :
~ ~ ( ~ ( in @ SY175 @ ( sK130_SY8 @ SV1 ) )
| ~ ! [SY176: $i] :
( ~ ( in @ SY176 @ ( sK130_SY8 @ SV1 ) )
| ( SY175 = SY176 )
| ( in @ SY175 @ SY176 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[817]) ).
thf(996,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK131_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK131_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY177: $i] :
~ ~ ( ~ ( in @ SY177 @ ( sK131_SY8 @ SV1 ) )
| ~ ! [SY178: $i] :
( ~ ( in @ SY178 @ ( sK131_SY8 @ SV1 ) )
| ( SY177 = SY178 )
| ( in @ SY177 @ SY178 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[818]) ).
thf(997,plain,
! [SV1: $i] :
( ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[819]) ).
thf(998,plain,
! [SV1: $i] :
( ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(999,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[821]) ).
thf(1000,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(1001,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(1002,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[824]) ).
thf(1003,plain,
! [SV1: $i] :
( ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[825]) ).
thf(1004,plain,
! [SV1: $i] :
( ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(1005,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[827]) ).
thf(1006,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(1007,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(1008,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[830]) ).
thf(1009,plain,
! [SV1: $i] :
( ( ( in @ ( sK108_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[831]) ).
thf(1010,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK108_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(1011,plain,
! [SV1: $i] :
( ( ( ~ ! [SY107: $i] :
~ ~ ( ~ ( in @ SY107 @ ( sK108_SY8 @ SV1 ) )
| ~ ! [SY108: $i] :
( ~ ( in @ SY108 @ ( sK108_SY8 @ SV1 ) )
| ( SY107 = SY108 )
| ( in @ SY107 @ SY108 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(1012,plain,
! [SV1: $i] :
( ( ( in @ ( sK109_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[833]) ).
thf(1013,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK109_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(1014,plain,
! [SV1: $i] :
( ( ( ~ ! [SY109: $i] :
~ ~ ( ~ ( in @ SY109 @ ( sK109_SY8 @ SV1 ) )
| ~ ! [SY110: $i] :
( ~ ( in @ SY110 @ ( sK109_SY8 @ SV1 ) )
| ( SY109 = SY110 )
| ( in @ SY109 @ SY110 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(1015,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK136_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK136_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY179: $i] :
~ ~ ( ~ ( in @ SY179 @ ( sK136_SY8 @ SV1 ) )
| ~ ! [SY180: $i] :
( ~ ( in @ SY180 @ ( sK136_SY8 @ SV1 ) )
| ( SY179 = SY180 )
| ( in @ SY179 @ SY180 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[835]) ).
thf(1016,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK137_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK137_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY181: $i] :
~ ~ ( ~ ( in @ SY181 @ ( sK137_SY8 @ SV1 ) )
| ~ ! [SY182: $i] :
( ~ ( in @ SY182 @ ( sK137_SY8 @ SV1 ) )
| ( SY181 = SY182 )
| ( in @ SY181 @ SY182 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[836]) ).
thf(1017,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(1018,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(1019,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(1020,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(1021,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK138_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK138_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY183: $i] :
~ ~ ( ~ ( in @ SY183 @ ( sK138_SY8 @ SV1 ) )
| ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ ( sK138_SY8 @ SV1 ) )
| ( SY183 = SY184 )
| ( in @ SY183 @ SY184 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[841]) ).
thf(1022,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK139_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK139_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY185: $i] :
~ ~ ( ~ ( in @ SY185 @ ( sK139_SY8 @ SV1 ) )
| ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ ( sK139_SY8 @ SV1 ) )
| ( SY185 = SY186 )
| ( in @ SY185 @ SY186 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[842]) ).
thf(1023,plain,
! [SV15: $i,SV1: $i,SV21: $i] :
( ( ( in @ SV21 @ SV1 )
= $false )
| ( ( ~ ( in @ SV15 @ SV21 )
| ( in @ SV15 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK48_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(1024,plain,
! [SV33: $i,SV1: $i,SV59: $i] :
( ( ( ~ ( in @ SV59 @ SV1 )
| ~ ( in @ SV33 @ SV59 )
| ( in @ SV33 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK48_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(1025,plain,
! [SV1: $i,SV22: $i] :
( ( ( ~ ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
| ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ ( sK48_SY8 @ SV1 ) )
| ( SV22 = SY111 )
| ( in @ SV22 @ SY111 ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(1026,plain,
! [SV16: $i,SV1: $i,SV23: $i] :
( ( ( in @ SV23 @ SV1 )
= $false )
| ( ( ~ ( in @ SV16 @ SV23 )
| ( in @ SV16 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK49_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(1027,plain,
! [SV34: $i,SV1: $i,SV60: $i] :
( ( ( ~ ( in @ SV60 @ SV1 )
| ~ ( in @ SV34 @ SV60 )
| ( in @ SV34 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK49_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(1028,plain,
! [SV1: $i,SV24: $i] :
( ( ( ~ ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
| ~ ! [SY112: $i] :
( ~ ( in @ SY112 @ ( sK49_SY8 @ SV1 ) )
| ( SV24 = SY112 )
| ( in @ SV24 @ SY112 ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[848]) ).
thf(1029,plain,
! [SV35: $i,SV1: $i,SV61: $i] :
( ( ( ~ ( in @ SV61 @ SV1 )
| ~ ( in @ SV35 @ SV61 )
| ( in @ SV35 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK72_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(1030,plain,
! [SV1: $i] :
( ( ( ( sK72_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(1031,plain,
! [SV1: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
| ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ ( sK72_SY8 @ SV1 ) )
| ( SV62 = SY187 )
| ( in @ SV62 @ SY187 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(1032,plain,
! [SV36: $i,SV1: $i,SV63: $i] :
( ( ( ~ ( in @ SV63 @ SV1 )
| ~ ( in @ SV36 @ SV63 )
| ( in @ SV36 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK73_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(1033,plain,
! [SV1: $i] :
( ( ( ( sK73_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(1034,plain,
! [SV1: $i,SV64: $i] :
( ( ( ~ ~ ( ~ ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ ( sK73_SY8 @ SV1 ) )
| ( SV64 = SY188 )
| ( in @ SV64 @ SY188 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(1035,plain,
! [SV65: $i,SV1: $i] :
( ( ( ! [SY189: $i] :
( ~ ( in @ SY189 @ SV1 )
| ~ ( in @ SV65 @ SY189 )
| ( in @ SV65 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK92_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(1036,plain,
! [SV1: $i] :
( ( ( ( ( sK92_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(1037,plain,
! [SV1: $i] :
( ( ( ! [SY85: $i] :
~ ~ ( ~ ( in @ SY85 @ ( sK92_SY8 @ SV1 ) )
| ~ ! [SY86: $i] :
( ~ ( in @ SY86 @ ( sK92_SY8 @ SV1 ) )
| ( SY85 = SY86 )
| ( in @ SY85 @ SY86 ) ) ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(1038,plain,
! [SV66: $i,SV1: $i] :
( ( ( ! [SY190: $i] :
( ~ ( in @ SY190 @ SV1 )
| ~ ( in @ SV66 @ SY190 )
| ( in @ SV66 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK93_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(1039,plain,
! [SV1: $i] :
( ( ( ( ( sK93_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[859]) ).
thf(1040,plain,
! [SV1: $i] :
( ( ( ! [SY87: $i] :
~ ~ ( ~ ( in @ SY87 @ ( sK93_SY8 @ SV1 ) )
| ~ ! [SY88: $i] :
( ~ ( in @ SY88 @ ( sK93_SY8 @ SV1 ) )
| ( SY87 = SY88 )
| ( in @ SY87 @ SY88 ) ) ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(1041,plain,
! [SV67: $i,SV1: $i] :
( ( ( ! [SY191: $i] :
( ~ ( in @ SY191 @ SV1 )
| ~ ( in @ SV67 @ SY191 )
| ( in @ SV67 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK94_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(1042,plain,
! [SV1: $i] :
( ( ( ( ( sK94_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[862]) ).
thf(1043,plain,
! [SV1: $i] :
( ( ( ! [SY89: $i] :
~ ~ ( ~ ( in @ SY89 @ ( sK94_SY8 @ SV1 ) )
| ~ ! [SY90: $i] :
( ~ ( in @ SY90 @ ( sK94_SY8 @ SV1 ) )
| ( SY89 = SY90 )
| ( in @ SY89 @ SY90 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(1044,plain,
! [SV68: $i,SV1: $i] :
( ( ( ! [SY192: $i] :
( ~ ( in @ SY192 @ SV1 )
| ~ ( in @ SV68 @ SY192 )
| ( in @ SV68 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK95_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(1045,plain,
! [SV1: $i] :
( ( ( ( ( sK95_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[865]) ).
thf(1046,plain,
! [SV1: $i] :
( ( ( ! [SY91: $i] :
~ ~ ( ~ ( in @ SY91 @ ( sK95_SY8 @ SV1 ) )
| ~ ! [SY92: $i] :
( ~ ( in @ SY92 @ ( sK95_SY8 @ SV1 ) )
| ( SY91 = SY92 )
| ( in @ SY91 @ SY92 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(1047,plain,
! [SV37: $i,SV1: $i,SV69: $i] :
( ( ( ~ ( in @ SV69 @ SV1 )
| ~ ( in @ SV37 @ SV69 )
| ( in @ SV37 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK74_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(1048,plain,
! [SV1: $i] :
( ( ( ( sK74_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(1049,plain,
! [SV1: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
| ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ ( sK74_SY8 @ SV1 ) )
| ( SV70 = SY193 )
| ( in @ SV70 @ SY193 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(1050,plain,
! [SV38: $i,SV1: $i,SV71: $i] :
( ( ( ~ ( in @ SV71 @ SV1 )
| ~ ( in @ SV38 @ SV71 )
| ( in @ SV38 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK75_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(1051,plain,
! [SV1: $i] :
( ( ( ( sK75_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(1052,plain,
! [SV1: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ ( sK75_SY8 @ SV1 ) )
| ( SV72 = SY194 )
| ( in @ SV72 @ SY194 ) ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(1053,plain,
! [SV39: $i,SV1: $i,SV73: $i] :
( ( ( ~ ( in @ SV73 @ SV1 )
| ~ ( in @ SV39 @ SV73 )
| ( in @ SV39 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK76_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(1054,plain,
! [SV1: $i] :
( ( ( ( sK76_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(1055,plain,
! [SV1: $i,SV74: $i] :
( ( ( ~ ~ ( ~ ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
| ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ ( sK76_SY8 @ SV1 ) )
| ( SV74 = SY195 )
| ( in @ SV74 @ SY195 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(1056,plain,
! [SV40: $i,SV1: $i,SV75: $i] :
( ( ( ~ ( in @ SV75 @ SV1 )
| ~ ( in @ SV40 @ SV75 )
| ( in @ SV40 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK77_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(1057,plain,
! [SV1: $i] :
( ( ( ( sK77_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(1058,plain,
! [SV1: $i,SV76: $i] :
( ( ( ~ ~ ( ~ ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
| ~ ! [SY196: $i] :
( ~ ( in @ SY196 @ ( sK77_SY8 @ SV1 ) )
| ( SV76 = SY196 )
| ( in @ SV76 @ SY196 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[878]) ).
thf(1059,plain,
! [SV1: $i] :
( ( ( in @ ( sK110_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[879]) ).
thf(1060,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK110_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(1061,plain,
! [SV1: $i] :
( ( ( ~ ! [SY113: $i] :
~ ~ ( ~ ( in @ SY113 @ ( sK110_SY8 @ SV1 ) )
| ~ ! [SY114: $i] :
( ~ ( in @ SY114 @ ( sK110_SY8 @ SV1 ) )
| ( SY113 = SY114 )
| ( in @ SY113 @ SY114 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(1062,plain,
! [SV1: $i] :
( ( ( in @ ( sK111_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(1063,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK111_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[882]) ).
thf(1064,plain,
! [SV1: $i] :
( ( ( ~ ! [SY115: $i] :
~ ~ ( ~ ( in @ SY115 @ ( sK111_SY8 @ SV1 ) )
| ~ ! [SY116: $i] :
( ~ ( in @ SY116 @ ( sK111_SY8 @ SV1 ) )
| ( SY115 = SY116 )
| ( in @ SY115 @ SY116 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[882]) ).
thf(1065,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK124_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(1066,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK124_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY153: $i] :
~ ~ ( ~ ( in @ SY153 @ ( sK124_SY8 @ SV1 ) )
| ~ ! [SY154: $i] :
( ~ ( in @ SY154 @ ( sK124_SY8 @ SV1 ) )
| ( SY153 = SY154 )
| ( in @ SY153 @ SY154 ) ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(1067,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK125_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(1068,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK125_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY155: $i] :
~ ~ ( ~ ( in @ SY155 @ ( sK125_SY8 @ SV1 ) )
| ~ ! [SY156: $i] :
( ~ ( in @ SY156 @ ( sK125_SY8 @ SV1 ) )
| ( SY155 = SY156 )
| ( in @ SY155 @ SY156 ) ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(1069,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK126_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(1070,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK126_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY157: $i] :
~ ~ ( ~ ( in @ SY157 @ ( sK126_SY8 @ SV1 ) )
| ~ ! [SY158: $i] :
( ~ ( in @ SY158 @ ( sK126_SY8 @ SV1 ) )
| ( SY157 = SY158 )
| ( in @ SY157 @ SY158 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(1071,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK127_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[886]) ).
thf(1072,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK127_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY159: $i] :
~ ~ ( ~ ( in @ SY159 @ ( sK127_SY8 @ SV1 ) )
| ~ ! [SY160: $i] :
( ~ ( in @ SY160 @ ( sK127_SY8 @ SV1 ) )
| ( SY159 = SY160 )
| ( in @ SY159 @ SY160 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[886]) ).
thf(1073,plain,
! [SV1: $i] :
( ( ( in @ ( sK112_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(1074,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK112_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(1075,plain,
! [SV1: $i] :
( ( ( ~ ! [SY117: $i] :
~ ~ ( ~ ( in @ SY117 @ ( sK112_SY8 @ SV1 ) )
| ~ ! [SY118: $i] :
( ~ ( in @ SY118 @ ( sK112_SY8 @ SV1 ) )
| ( SY117 = SY118 )
| ( in @ SY117 @ SY118 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(1076,plain,
! [SV1: $i] :
( ( ( in @ ( sK113_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[889]) ).
thf(1077,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK113_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(1078,plain,
! [SV1: $i] :
( ( ( ~ ! [SY119: $i] :
~ ~ ( ~ ( in @ SY119 @ ( sK113_SY8 @ SV1 ) )
| ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ ( sK113_SY8 @ SV1 ) )
| ( SY119 = SY120 )
| ( in @ SY119 @ SY120 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(1079,plain,
! [SV1: $i] :
( ( ( in @ ( sK114_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[891]) ).
thf(1080,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK114_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(1081,plain,
! [SV1: $i] :
( ( ( ~ ! [SY121: $i] :
~ ~ ( ~ ( in @ SY121 @ ( sK114_SY8 @ SV1 ) )
| ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ ( sK114_SY8 @ SV1 ) )
| ( SY121 = SY122 )
| ( in @ SY121 @ SY122 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(1082,plain,
! [SV1: $i] :
( ( ( in @ ( sK115_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(1083,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK115_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(1084,plain,
! [SV1: $i] :
( ( ( ~ ! [SY123: $i] :
~ ~ ( ~ ( in @ SY123 @ ( sK115_SY8 @ SV1 ) )
| ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ ( sK115_SY8 @ SV1 ) )
| ( SY123 = SY124 )
| ( in @ SY123 @ SY124 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(1085,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK140_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK140_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY197: $i] :
~ ~ ( ~ ( in @ SY197 @ ( sK140_SY8 @ SV1 ) )
| ~ ! [SY198: $i] :
( ~ ( in @ SY198 @ ( sK140_SY8 @ SV1 ) )
| ( SY197 = SY198 )
| ( in @ SY197 @ SY198 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[895]) ).
thf(1086,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK141_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK141_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY199: $i] :
~ ~ ( ~ ( in @ SY199 @ ( sK141_SY8 @ SV1 ) )
| ~ ! [SY200: $i] :
( ~ ( in @ SY200 @ ( sK141_SY8 @ SV1 ) )
| ( SY199 = SY200 )
| ( in @ SY199 @ SY200 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[896]) ).
thf(1087,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(1088,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(1089,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(1090,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(1091,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK142_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK142_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY201: $i] :
~ ~ ( ~ ( in @ SY201 @ ( sK142_SY8 @ SV1 ) )
| ~ ! [SY202: $i] :
( ~ ( in @ SY202 @ ( sK142_SY8 @ SV1 ) )
| ( SY201 = SY202 )
| ( in @ SY201 @ SY202 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[901]) ).
thf(1092,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK143_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK143_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY203: $i] :
~ ~ ( ~ ( in @ SY203 @ ( sK143_SY8 @ SV1 ) )
| ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ ( sK143_SY8 @ SV1 ) )
| ( SY203 = SY204 )
| ( in @ SY203 @ SY204 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[902]) ).
thf(1093,plain,
! [SV1: $i] :
( ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[903]) ).
thf(1094,plain,
! [SV1: $i] :
( ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(1095,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[905]) ).
thf(1096,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(1097,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(1098,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[908]) ).
thf(1099,plain,
! [SV1: $i] :
( ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[909]) ).
thf(1100,plain,
! [SV1: $i] :
( ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[910]) ).
thf(1101,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[911]) ).
thf(1102,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(1103,plain,
! [SV1: $i] :
( ( ( ! [SY7: $i] :
( ~ ( in @ SY7 @ SV1 )
| ~ ( in @ SY7 @ SY7 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(1104,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[914]) ).
thf(1105,plain,
! [SV1: $i] :
( ( ( in @ ( sK118_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(1106,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK118_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(1107,plain,
! [SV1: $i] :
( ( ( ~ ! [SY125: $i] :
~ ~ ( ~ ( in @ SY125 @ ( sK118_SY8 @ SV1 ) )
| ~ ! [SY126: $i] :
( ~ ( in @ SY126 @ ( sK118_SY8 @ SV1 ) )
| ( SY125 = SY126 )
| ( in @ SY125 @ SY126 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(1108,plain,
! [SV1: $i] :
( ( ( in @ ( sK119_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[917]) ).
thf(1109,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK119_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[918]) ).
thf(1110,plain,
! [SV1: $i] :
( ( ( ~ ! [SY127: $i] :
~ ~ ( ~ ( in @ SY127 @ ( sK119_SY8 @ SV1 ) )
| ~ ! [SY128: $i] :
( ~ ( in @ SY128 @ ( sK119_SY8 @ SV1 ) )
| ( SY127 = SY128 )
| ( in @ SY127 @ SY128 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[918]) ).
thf(1111,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK148_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK148_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY205: $i] :
~ ~ ( ~ ( in @ SY205 @ ( sK148_SY8 @ SV1 ) )
| ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ ( sK148_SY8 @ SV1 ) )
| ( SY205 = SY206 )
| ( in @ SY205 @ SY206 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[919]) ).
thf(1112,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK149_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK149_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY207: $i] :
~ ~ ( ~ ( in @ SY207 @ ( sK149_SY8 @ SV1 ) )
| ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ ( sK149_SY8 @ SV1 ) )
| ( SY207 = SY208 )
| ( in @ SY207 @ SY208 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[920]) ).
thf(1113,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(1114,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(1115,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(1116,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(1117,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK150_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK150_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ ( sK150_SY8 @ SV1 ) )
| ~ ! [SY210: $i] :
( ~ ( in @ SY210 @ ( sK150_SY8 @ SV1 ) )
| ( SY209 = SY210 )
| ( in @ SY209 @ SY210 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[925]) ).
thf(1118,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK151_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK151_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY211: $i] :
~ ~ ( ~ ( in @ SY211 @ ( sK151_SY8 @ SV1 ) )
| ~ ! [SY212: $i] :
( ~ ( in @ SY212 @ ( sK151_SY8 @ SV1 ) )
| ( SY211 = SY212 )
| ( in @ SY211 @ SY212 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[926]) ).
thf(1119,plain,
! [SV1: $i,SV17: $i,SV13: $i] :
( ( ( ~ ( in @ SV13 @ SV17 ) )
= $true )
| ( ( in @ SV13 @ SV1 )
= $true )
| ( ( in @ SV17 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK40_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(1120,plain,
! [SV25: $i,SV1: $i,SV41: $i] :
( ( ( ~ ( in @ SV41 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV25 @ SV41 )
| ( in @ SV25 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK40_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(1121,plain,
! [SV1: $i,SV18: $i] :
( ( ( ~ ( in @ SV18 @ ( sK40_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY93: $i] :
( ~ ( in @ SY93 @ ( sK40_SY8 @ SV1 ) )
| ( SV18 = SY93 )
| ( in @ SV18 @ SY93 ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[929]) ).
thf(1122,plain,
! [SV1: $i,SV19: $i,SV14: $i] :
( ( ( ~ ( in @ SV14 @ SV19 ) )
= $true )
| ( ( in @ SV14 @ SV1 )
= $true )
| ( ( in @ SV19 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK41_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[930]) ).
thf(1123,plain,
! [SV26: $i,SV1: $i,SV42: $i] :
( ( ( ~ ( in @ SV42 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV26 @ SV42 )
| ( in @ SV26 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK41_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(1124,plain,
! [SV1: $i,SV20: $i] :
( ( ( ~ ( in @ SV20 @ ( sK41_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY94: $i] :
( ~ ( in @ SY94 @ ( sK41_SY8 @ SV1 ) )
| ( SV20 = SY94 )
| ( in @ SV20 @ SY94 ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[932]) ).
thf(1125,plain,
! [SV27: $i,SV1: $i,SV43: $i] :
( ( ( ~ ( in @ SV43 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV27 @ SV43 )
| ( in @ SV27 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK60_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[933]) ).
thf(1126,plain,
! [SV77: $i,SV1: $i] :
( ( ( ! [SY213: $i] :
( ~ ( in @ SY213 @ SV1 )
| ~ ( in @ SV77 @ SY213 )
| ( in @ SV77 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK60_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(1127,plain,
! [SV1: $i,SV44: $i] :
( ( ( ~ ( ~ ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
| ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ ( sK60_SY8 @ SV1 ) )
| ( SV44 = SY161 )
| ( in @ SV44 @ SY161 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(1128,plain,
! [SV28: $i,SV1: $i,SV45: $i] :
( ( ( ~ ( in @ SV45 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV28 @ SV45 )
| ( in @ SV28 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK61_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(1129,plain,
! [SV78: $i,SV1: $i] :
( ( ( ! [SY214: $i] :
( ~ ( in @ SY214 @ SV1 )
| ~ ( in @ SV78 @ SY214 )
| ( in @ SV78 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK61_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(1130,plain,
! [SV1: $i,SV46: $i] :
( ( ( ~ ( ~ ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
| ~ ! [SY162: $i] :
( ~ ( in @ SY162 @ ( sK61_SY8 @ SV1 ) )
| ( SV46 = SY162 )
| ( in @ SV46 @ SY162 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(1131,plain,
! [SV47: $i,SV1: $i,SV79: $i] :
( ( ( ~ ( in @ SV79 @ SV1 )
| ~ ( in @ SV47 @ SV79 )
| ( in @ SV47 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK84_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1132,plain,
! [SV1: $i] :
( ( ( ( sK84_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(1133,plain,
! [SV1: $i,SV80: $i] :
( ( ( ~ ~ ( ~ ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
| ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ ( sK84_SY8 @ SV1 ) )
| ( SV80 = SY215 )
| ( in @ SV80 @ SY215 ) ) ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(1134,plain,
! [SV48: $i,SV1: $i,SV81: $i] :
( ( ( ~ ( in @ SV81 @ SV1 )
| ~ ( in @ SV48 @ SV81 )
| ( in @ SV48 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK85_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1135,plain,
! [SV1: $i] :
( ( ( ( sK85_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1136,plain,
! [SV1: $i,SV82: $i] :
( ( ( ~ ~ ( ~ ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
| ~ ! [SY216: $i] :
( ~ ( in @ SY216 @ ( sK85_SY8 @ SV1 ) )
| ( SV82 = SY216 )
| ( in @ SV82 @ SY216 ) ) ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1137,plain,
! [SV49: $i,SV1: $i,SV83: $i] :
( ( ( ~ ( in @ SV83 @ SV1 )
| ~ ( in @ SV49 @ SV83 )
| ( in @ SV49 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK86_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1138,plain,
! [SV1: $i] :
( ( ( ( sK86_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1139,plain,
! [SV1: $i,SV84: $i] :
( ( ( ~ ~ ( ~ ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
| ~ ! [SY217: $i] :
( ~ ( in @ SY217 @ ( sK86_SY8 @ SV1 ) )
| ( SV84 = SY217 )
| ( in @ SV84 @ SY217 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1140,plain,
! [SV50: $i,SV1: $i,SV85: $i] :
( ( ( ~ ( in @ SV85 @ SV1 )
| ~ ( in @ SV50 @ SV85 )
| ( in @ SV50 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK87_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1141,plain,
! [SV1: $i] :
( ( ( ( sK87_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(1142,plain,
! [SV1: $i,SV86: $i] :
( ( ( ~ ~ ( ~ ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
| ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ ( sK87_SY8 @ SV1 ) )
| ( SV86 = SY218 )
| ( in @ SV86 @ SY218 ) ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1143,plain,
! [SV29: $i,SV1: $i,SV51: $i] :
( ( ( ~ ( in @ SV51 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV29 @ SV51 )
| ( in @ SV29 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK62_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1144,plain,
! [SV87: $i,SV1: $i] :
( ( ( ! [SY219: $i] :
( ~ ( in @ SY219 @ SV1 )
| ~ ( in @ SV87 @ SY219 )
| ( in @ SV87 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ( sK62_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1145,plain,
! [SV1: $i,SV52: $i] :
( ( ( ~ ( ~ ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
| ~ ! [SY167: $i] :
( ~ ( in @ SY167 @ ( sK62_SY8 @ SV1 ) )
| ( SV52 = SY167 )
| ( in @ SV52 @ SY167 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1146,plain,
! [SV30: $i,SV1: $i,SV53: $i] :
( ( ( ~ ( in @ SV53 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV30 @ SV53 )
| ( in @ SV30 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK63_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(1147,plain,
! [SV88: $i,SV1: $i] :
( ( ( ! [SY220: $i] :
( ~ ( in @ SY220 @ SV1 )
| ~ ( in @ SV88 @ SY220 )
| ( in @ SV88 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ( sK63_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1148,plain,
! [SV1: $i,SV54: $i] :
( ( ( ~ ( ~ ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
| ~ ! [SY168: $i] :
( ~ ( in @ SY168 @ ( sK63_SY8 @ SV1 ) )
| ( SV54 = SY168 )
| ( in @ SV54 @ SY168 ) ) ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1149,plain,
! [SV31: $i,SV1: $i,SV55: $i] :
( ( ( ~ ( in @ SV55 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV31 @ SV55 )
| ( in @ SV31 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK64_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1150,plain,
! [SV89: $i,SV1: $i] :
( ( ( ! [SY221: $i] :
( ~ ( in @ SY221 @ SV1 )
| ~ ( in @ SV89 @ SY221 )
| ( in @ SV89 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK64_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(1151,plain,
! [SV1: $i,SV56: $i] :
( ( ( ~ ( ~ ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
| ~ ! [SY169: $i] :
( ~ ( in @ SY169 @ ( sK64_SY8 @ SV1 ) )
| ( SV56 = SY169 )
| ( in @ SV56 @ SY169 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1152,plain,
! [SV32: $i,SV1: $i,SV57: $i] :
( ( ( ~ ( in @ SV57 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV32 @ SV57 )
| ( in @ SV32 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK65_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[960]) ).
thf(1153,plain,
! [SV90: $i,SV1: $i] :
( ( ( ! [SY222: $i] :
( ~ ( in @ SY222 @ SV1 )
| ~ ( in @ SV90 @ SY222 )
| ( in @ SV90 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK65_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(1154,plain,
! [SV1: $i,SV58: $i] :
( ( ( ~ ( ~ ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
| ~ ! [SY170: $i] :
( ~ ( in @ SY170 @ ( sK65_SY8 @ SV1 ) )
| ( SV58 = SY170 )
| ( in @ SV58 @ SY170 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(1155,plain,
! [SV91: $i,SV1: $i] :
( ( ( ! [SY223: $i] :
( ~ ( in @ SY223 @ SV1 )
| ~ ( in @ SV91 @ SY223 )
| ( in @ SV91 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK100_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(1156,plain,
! [SV1: $i] :
( ( ( ( ( sK100_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(1157,plain,
! [SV1: $i] :
( ( ( ! [SY95: $i] :
~ ~ ( ~ ( in @ SY95 @ ( sK100_SY8 @ SV1 ) )
| ~ ! [SY96: $i] :
( ~ ( in @ SY96 @ ( sK100_SY8 @ SV1 ) )
| ( SY95 = SY96 )
| ( in @ SY95 @ SY96 ) ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(1158,plain,
! [SV92: $i,SV1: $i] :
( ( ( ! [SY224: $i] :
( ~ ( in @ SY224 @ SV1 )
| ~ ( in @ SV92 @ SY224 )
| ( in @ SV92 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK101_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[966]) ).
thf(1159,plain,
! [SV1: $i] :
( ( ( ( ( sK101_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[967]) ).
thf(1160,plain,
! [SV1: $i] :
( ( ( ! [SY97: $i] :
~ ~ ( ~ ( in @ SY97 @ ( sK101_SY8 @ SV1 ) )
| ~ ! [SY98: $i] :
( ~ ( in @ SY98 @ ( sK101_SY8 @ SV1 ) )
| ( SY97 = SY98 )
| ( in @ SY97 @ SY98 ) ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1161,plain,
! [SV1: $i] :
( ( ( in @ ( sK120_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(1162,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK120_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1163,plain,
! [SV1: $i] :
( ( ( ~ ! [SY137: $i] :
~ ~ ( ~ ( in @ SY137 @ ( sK120_SY8 @ SV1 ) )
| ~ ! [SY138: $i] :
( ~ ( in @ SY138 @ ( sK120_SY8 @ SV1 ) )
| ( SY137 = SY138 )
| ( in @ SY137 @ SY138 ) ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1164,plain,
! [SV1: $i] :
( ( ( in @ ( sK121_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1165,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK121_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[972]) ).
thf(1166,plain,
! [SV1: $i] :
( ( ( ~ ! [SY139: $i] :
~ ~ ( ~ ( in @ SY139 @ ( sK121_SY8 @ SV1 ) )
| ~ ! [SY140: $i] :
( ~ ( in @ SY140 @ ( sK121_SY8 @ SV1 ) )
| ( SY139 = SY140 )
| ( in @ SY139 @ SY140 ) ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[972]) ).
thf(1167,plain,
! [SV1: $i] :
( ( ( in @ ( sK122_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(1168,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK122_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1169,plain,
! [SV1: $i] :
( ( ( ~ ! [SY141: $i] :
~ ~ ( ~ ( in @ SY141 @ ( sK122_SY8 @ SV1 ) )
| ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ ( sK122_SY8 @ SV1 ) )
| ( SY141 = SY142 )
| ( in @ SY141 @ SY142 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1170,plain,
! [SV1: $i] :
( ( ( in @ ( sK123_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(1171,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK123_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[976]) ).
thf(1172,plain,
! [SV1: $i] :
( ( ( ~ ! [SY143: $i] :
~ ~ ( ~ ( in @ SY143 @ ( sK123_SY8 @ SV1 ) )
| ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ ( sK123_SY8 @ SV1 ) )
| ( SY143 = SY144 )
| ( in @ SY143 @ SY144 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[976]) ).
thf(1173,plain,
! [SV93: $i,SV1: $i] :
( ( ( ! [SY225: $i] :
( ~ ( in @ SY225 @ SV1 )
| ~ ( in @ SV93 @ SY225 )
| ( in @ SV93 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK102_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1174,plain,
! [SV1: $i] :
( ( ( ( ( sK102_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1175,plain,
! [SV1: $i] :
( ( ( ! [SY99: $i] :
~ ~ ( ~ ( in @ SY99 @ ( sK102_SY8 @ SV1 ) )
| ~ ! [SY100: $i] :
( ~ ( in @ SY100 @ ( sK102_SY8 @ SV1 ) )
| ( SY99 = SY100 )
| ( in @ SY99 @ SY100 ) ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(1176,plain,
! [SV94: $i,SV1: $i] :
( ( ( ! [SY226: $i] :
( ~ ( in @ SY226 @ SV1 )
| ~ ( in @ SV94 @ SY226 )
| ( in @ SV94 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK103_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1177,plain,
! [SV1: $i] :
( ( ( ( ( sK103_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[981]) ).
thf(1178,plain,
! [SV1: $i] :
( ( ( ! [SY101: $i] :
~ ~ ( ~ ( in @ SY101 @ ( sK103_SY8 @ SV1 ) )
| ~ ! [SY102: $i] :
( ~ ( in @ SY102 @ ( sK103_SY8 @ SV1 ) )
| ( SY101 = SY102 )
| ( in @ SY101 @ SY102 ) ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[982]) ).
thf(1179,plain,
! [SV95: $i,SV1: $i] :
( ( ( ! [SY227: $i] :
( ~ ( in @ SY227 @ SV1 )
| ~ ( in @ SV95 @ SY227 )
| ( in @ SV95 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK104_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(1180,plain,
! [SV1: $i] :
( ( ( ( ( sK104_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1181,plain,
! [SV1: $i] :
( ( ( ! [SY103: $i] :
~ ~ ( ~ ( in @ SY103 @ ( sK104_SY8 @ SV1 ) )
| ~ ! [SY104: $i] :
( ~ ( in @ SY104 @ ( sK104_SY8 @ SV1 ) )
| ( SY103 = SY104 )
| ( in @ SY103 @ SY104 ) ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1182,plain,
! [SV96: $i,SV1: $i] :
( ( ( ! [SY228: $i] :
( ~ ( in @ SY228 @ SV1 )
| ~ ( in @ SV96 @ SY228 )
| ( in @ SV96 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK105_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1183,plain,
! [SV1: $i] :
( ( ( ( ( sK105_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1184,plain,
! [SV1: $i] :
( ( ( ! [SY105: $i] :
~ ~ ( ~ ( in @ SY105 @ ( sK105_SY8 @ SV1 ) )
| ~ ! [SY106: $i] :
( ~ ( in @ SY106 @ ( sK105_SY8 @ SV1 ) )
| ( SY105 = SY106 )
| ( in @ SY105 @ SY106 ) ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(1185,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK128_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[989]) ).
thf(1186,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK128_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY171: $i] :
~ ~ ( ~ ( in @ SY171 @ ( sK128_SY8 @ SV1 ) )
| ~ ! [SY172: $i] :
( ~ ( in @ SY172 @ ( sK128_SY8 @ SV1 ) )
| ( SY171 = SY172 )
| ( in @ SY171 @ SY172 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[989]) ).
thf(1187,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK129_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1188,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK129_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY173: $i] :
~ ~ ( ~ ( in @ SY173 @ ( sK129_SY8 @ SV1 ) )
| ~ ! [SY174: $i] :
( ~ ( in @ SY174 @ ( sK129_SY8 @ SV1 ) )
| ( SY173 = SY174 )
| ( in @ SY173 @ SY174 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1189,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK152_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK152_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY229: $i] :
~ ~ ( ~ ( in @ SY229 @ ( sK152_SY8 @ SV1 ) )
| ~ ! [SY230: $i] :
( ~ ( in @ SY230 @ ( sK152_SY8 @ SV1 ) )
| ( SY229 = SY230 )
| ( in @ SY229 @ SY230 ) ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[991]) ).
thf(1190,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK153_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK153_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY231: $i] :
~ ~ ( ~ ( in @ SY231 @ ( sK153_SY8 @ SV1 ) )
| ~ ! [SY232: $i] :
( ~ ( in @ SY232 @ ( sK153_SY8 @ SV1 ) )
| ( SY231 = SY232 )
| ( in @ SY231 @ SY232 ) ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[992]) ).
thf(1191,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK154_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK154_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY233: $i] :
~ ~ ( ~ ( in @ SY233 @ ( sK154_SY8 @ SV1 ) )
| ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ ( sK154_SY8 @ SV1 ) )
| ( SY233 = SY234 )
| ( in @ SY233 @ SY234 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[993]) ).
thf(1192,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK155_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK155_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY235: $i] :
~ ~ ( ~ ( in @ SY235 @ ( sK155_SY8 @ SV1 ) )
| ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ ( sK155_SY8 @ SV1 ) )
| ( SY235 = SY236 )
| ( in @ SY235 @ SY236 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[994]) ).
thf(1193,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK130_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1194,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK130_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY175: $i] :
~ ~ ( ~ ( in @ SY175 @ ( sK130_SY8 @ SV1 ) )
| ~ ! [SY176: $i] :
( ~ ( in @ SY176 @ ( sK130_SY8 @ SV1 ) )
| ( SY175 = SY176 )
| ( in @ SY175 @ SY176 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1195,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK131_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1196,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK131_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY177: $i] :
~ ~ ( ~ ( in @ SY177 @ ( sK131_SY8 @ SV1 ) )
| ~ ! [SY178: $i] :
( ~ ( in @ SY178 @ ( sK131_SY8 @ SV1 ) )
| ( SY177 = SY178 )
| ( in @ SY177 @ SY178 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1197,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1198,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1199,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK132_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1200,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1201,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1000]) ).
thf(1202,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1001]) ).
thf(1203,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK133_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1002]) ).
thf(1204,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1002]) ).
thf(1205,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1206,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1207,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK134_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1208,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1209,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1006]) ).
thf(1210,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1007]) ).
thf(1211,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK135_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1008]) ).
thf(1212,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1008]) ).
thf(1213,plain,
! [SV97: $i,SV1: $i] :
( ( ( ! [SY237: $i] :
( ~ ( in @ SY237 @ SV1 )
| ~ ( in @ SV97 @ SY237 )
| ( in @ SV97 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK108_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1009]) ).
thf(1214,plain,
! [SV1: $i] :
( ( ( ( ( sK108_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1215,plain,
! [SV1: $i] :
( ( ( ! [SY107: $i] :
~ ~ ( ~ ( in @ SY107 @ ( sK108_SY8 @ SV1 ) )
| ~ ! [SY108: $i] :
( ~ ( in @ SY108 @ ( sK108_SY8 @ SV1 ) )
| ( SY107 = SY108 )
| ( in @ SY107 @ SY108 ) ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1011]) ).
thf(1216,plain,
! [SV98: $i,SV1: $i] :
( ( ( ! [SY238: $i] :
( ~ ( in @ SY238 @ SV1 )
| ~ ( in @ SV98 @ SY238 )
| ( in @ SV98 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK109_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1012]) ).
thf(1217,plain,
! [SV1: $i] :
( ( ( ( ( sK109_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1218,plain,
! [SV1: $i] :
( ( ( ! [SY109: $i] :
~ ~ ( ~ ( in @ SY109 @ ( sK109_SY8 @ SV1 ) )
| ~ ! [SY110: $i] :
( ~ ( in @ SY110 @ ( sK109_SY8 @ SV1 ) )
| ( SY109 = SY110 )
| ( in @ SY109 @ SY110 ) ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1219,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK136_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1015]) ).
thf(1220,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK136_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY179: $i] :
~ ~ ( ~ ( in @ SY179 @ ( sK136_SY8 @ SV1 ) )
| ~ ! [SY180: $i] :
( ~ ( in @ SY180 @ ( sK136_SY8 @ SV1 ) )
| ( SY179 = SY180 )
| ( in @ SY179 @ SY180 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1015]) ).
thf(1221,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK137_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1222,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK137_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY181: $i] :
~ ~ ( ~ ( in @ SY181 @ ( sK137_SY8 @ SV1 ) )
| ~ ! [SY182: $i] :
( ~ ( in @ SY182 @ ( sK137_SY8 @ SV1 ) )
| ( SY181 = SY182 )
| ( in @ SY181 @ SY182 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1223,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK160_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK160_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY239: $i] :
~ ~ ( ~ ( in @ SY239 @ ( sK160_SY8 @ SV1 ) )
| ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ ( sK160_SY8 @ SV1 ) )
| ( SY239 = SY240 )
| ( in @ SY239 @ SY240 ) ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1017]) ).
thf(1224,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK161_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK161_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ ( sK161_SY8 @ SV1 ) )
| ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ ( sK161_SY8 @ SV1 ) )
| ( SY241 = SY242 )
| ( in @ SY241 @ SY242 ) ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1018]) ).
thf(1225,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK162_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK162_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( in @ SY243 @ ( sK162_SY8 @ SV1 ) )
| ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ ( sK162_SY8 @ SV1 ) )
| ( SY243 = SY244 )
| ( in @ SY243 @ SY244 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1019]) ).
thf(1226,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK163_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK163_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY245: $i] :
~ ~ ( ~ ( in @ SY245 @ ( sK163_SY8 @ SV1 ) )
| ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ ( sK163_SY8 @ SV1 ) )
| ( SY245 = SY246 )
| ( in @ SY245 @ SY246 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1020]) ).
thf(1227,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK138_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1228,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK138_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY183: $i] :
~ ~ ( ~ ( in @ SY183 @ ( sK138_SY8 @ SV1 ) )
| ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ ( sK138_SY8 @ SV1 ) )
| ( SY183 = SY184 )
| ( in @ SY183 @ SY184 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1229,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK139_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1022]) ).
thf(1230,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK139_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY185: $i] :
~ ~ ( ~ ( in @ SY185 @ ( sK139_SY8 @ SV1 ) )
| ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ ( sK139_SY8 @ SV1 ) )
| ( SY185 = SY186 )
| ( in @ SY185 @ SY186 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1022]) ).
thf(1231,plain,
! [SV1: $i,SV21: $i,SV15: $i] :
( ( ( ~ ( in @ SV15 @ SV21 ) )
= $true )
| ( ( in @ SV15 @ SV1 )
= $true )
| ( ( in @ SV21 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK48_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1023]) ).
thf(1232,plain,
! [SV33: $i,SV1: $i,SV59: $i] :
( ( ( ~ ( in @ SV59 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV33 @ SV59 )
| ( in @ SV33 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK48_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1233,plain,
! [SV1: $i,SV22: $i] :
( ( ( ~ ( in @ SV22 @ ( sK48_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ ( sK48_SY8 @ SV1 ) )
| ( SV22 = SY111 )
| ( in @ SV22 @ SY111 ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1025]) ).
thf(1234,plain,
! [SV1: $i,SV23: $i,SV16: $i] :
( ( ( ~ ( in @ SV16 @ SV23 ) )
= $true )
| ( ( in @ SV16 @ SV1 )
= $true )
| ( ( in @ SV23 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK49_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1235,plain,
! [SV34: $i,SV1: $i,SV60: $i] :
( ( ( ~ ( in @ SV60 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV34 @ SV60 )
| ( in @ SV34 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK49_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1027]) ).
thf(1236,plain,
! [SV1: $i,SV24: $i] :
( ( ( ~ ( in @ SV24 @ ( sK49_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY112: $i] :
( ~ ( in @ SY112 @ ( sK49_SY8 @ SV1 ) )
| ( SV24 = SY112 )
| ( in @ SV24 @ SY112 ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1237,plain,
! [SV35: $i,SV1: $i,SV61: $i] :
( ( ( ~ ( in @ SV61 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV35 @ SV61 )
| ( in @ SV35 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK72_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1029]) ).
thf(1238,plain,
! [SV99: $i,SV1: $i] :
( ( ( ! [SY247: $i] :
( ~ ( in @ SY247 @ SV1 )
| ~ ( in @ SV99 @ SY247 )
| ( in @ SV99 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK72_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1030]) ).
thf(1239,plain,
! [SV1: $i,SV62: $i] :
( ( ( ~ ( ~ ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
| ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ ( sK72_SY8 @ SV1 ) )
| ( SV62 = SY187 )
| ( in @ SV62 @ SY187 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1240,plain,
! [SV36: $i,SV1: $i,SV63: $i] :
( ( ( ~ ( in @ SV63 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV36 @ SV63 )
| ( in @ SV36 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK73_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1241,plain,
! [SV100: $i,SV1: $i] :
( ( ( ! [SY248: $i] :
( ~ ( in @ SY248 @ SV1 )
| ~ ( in @ SV100 @ SY248 )
| ( in @ SV100 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK73_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1242,plain,
! [SV1: $i,SV64: $i] :
( ( ( ~ ( ~ ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ ( sK73_SY8 @ SV1 ) )
| ( SV64 = SY188 )
| ( in @ SV64 @ SY188 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1034]) ).
thf(1243,plain,
! [SV65: $i,SV1: $i,SV101: $i] :
( ( ( ~ ( in @ SV101 @ SV1 )
| ~ ( in @ SV65 @ SV101 )
| ( in @ SV65 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK92_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1244,plain,
! [SV1: $i] :
( ( ( ( sK92_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1245,plain,
! [SV1: $i,SV102: $i] :
( ( ( ~ ~ ( ~ ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
| ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ ( sK92_SY8 @ SV1 ) )
| ( SV102 = SY249 )
| ( in @ SV102 @ SY249 ) ) ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1037]) ).
thf(1246,plain,
! [SV66: $i,SV1: $i,SV103: $i] :
( ( ( ~ ( in @ SV103 @ SV1 )
| ~ ( in @ SV66 @ SV103 )
| ( in @ SV66 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK93_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1247,plain,
! [SV1: $i] :
( ( ( ( sK93_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1248,plain,
! [SV1: $i,SV104: $i] :
( ( ( ~ ~ ( ~ ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
| ~ ! [SY250: $i] :
( ~ ( in @ SY250 @ ( sK93_SY8 @ SV1 ) )
| ( SV104 = SY250 )
| ( in @ SV104 @ SY250 ) ) ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1249,plain,
! [SV67: $i,SV1: $i,SV105: $i] :
( ( ( ~ ( in @ SV105 @ SV1 )
| ~ ( in @ SV67 @ SV105 )
| ( in @ SV67 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK94_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1041]) ).
thf(1250,plain,
! [SV1: $i] :
( ( ( ( sK94_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1251,plain,
! [SV1: $i,SV106: $i] :
( ( ( ~ ~ ( ~ ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
| ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ ( sK94_SY8 @ SV1 ) )
| ( SV106 = SY251 )
| ( in @ SV106 @ SY251 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1043]) ).
thf(1252,plain,
! [SV68: $i,SV1: $i,SV107: $i] :
( ( ( ~ ( in @ SV107 @ SV1 )
| ~ ( in @ SV68 @ SV107 )
| ( in @ SV68 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK95_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1253,plain,
! [SV1: $i] :
( ( ( ( sK95_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1254,plain,
! [SV1: $i,SV108: $i] :
( ( ( ~ ~ ( ~ ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
| ~ ! [SY252: $i] :
( ~ ( in @ SY252 @ ( sK95_SY8 @ SV1 ) )
| ( SV108 = SY252 )
| ( in @ SV108 @ SY252 ) ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1046]) ).
thf(1255,plain,
! [SV37: $i,SV1: $i,SV69: $i] :
( ( ( ~ ( in @ SV69 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV37 @ SV69 )
| ( in @ SV37 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK74_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1256,plain,
! [SV109: $i,SV1: $i] :
( ( ( ! [SY253: $i] :
( ~ ( in @ SY253 @ SV1 )
| ~ ( in @ SV109 @ SY253 )
| ( in @ SV109 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ( sK74_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1257,plain,
! [SV1: $i,SV70: $i] :
( ( ( ~ ( ~ ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
| ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ ( sK74_SY8 @ SV1 ) )
| ( SV70 = SY193 )
| ( in @ SV70 @ SY193 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1049]) ).
thf(1258,plain,
! [SV38: $i,SV1: $i,SV71: $i] :
( ( ( ~ ( in @ SV71 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV38 @ SV71 )
| ( in @ SV38 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK75_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1259,plain,
! [SV110: $i,SV1: $i] :
( ( ( ! [SY254: $i] :
( ~ ( in @ SY254 @ SV1 )
| ~ ( in @ SV110 @ SY254 )
| ( in @ SV110 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ( sK75_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1051]) ).
thf(1260,plain,
! [SV1: $i,SV72: $i] :
( ( ( ~ ( ~ ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ ( sK75_SY8 @ SV1 ) )
| ( SV72 = SY194 )
| ( in @ SV72 @ SY194 ) ) ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1261,plain,
! [SV39: $i,SV1: $i,SV73: $i] :
( ( ( ~ ( in @ SV73 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV39 @ SV73 )
| ( in @ SV39 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK76_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1262,plain,
! [SV111: $i,SV1: $i] :
( ( ( ! [SY255: $i] :
( ~ ( in @ SY255 @ SV1 )
| ~ ( in @ SV111 @ SY255 )
| ( in @ SV111 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK76_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1054]) ).
thf(1263,plain,
! [SV1: $i,SV74: $i] :
( ( ( ~ ( ~ ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
| ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ ( sK76_SY8 @ SV1 ) )
| ( SV74 = SY195 )
| ( in @ SV74 @ SY195 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1264,plain,
! [SV40: $i,SV1: $i,SV75: $i] :
( ( ( ~ ( in @ SV75 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV40 @ SV75 )
| ( in @ SV40 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK77_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1265,plain,
! [SV112: $i,SV1: $i] :
( ( ( ! [SY256: $i] :
( ~ ( in @ SY256 @ SV1 )
| ~ ( in @ SV112 @ SY256 )
| ( in @ SV112 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK77_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1057]) ).
thf(1266,plain,
! [SV1: $i,SV76: $i] :
( ( ( ~ ( ~ ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
| ~ ! [SY196: $i] :
( ~ ( in @ SY196 @ ( sK77_SY8 @ SV1 ) )
| ( SV76 = SY196 )
| ( in @ SV76 @ SY196 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1267,plain,
! [SV113: $i,SV1: $i] :
( ( ( ! [SY257: $i] :
( ~ ( in @ SY257 @ SV1 )
| ~ ( in @ SV113 @ SY257 )
| ( in @ SV113 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK110_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1059]) ).
thf(1268,plain,
! [SV1: $i] :
( ( ( ( ( sK110_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1060]) ).
thf(1269,plain,
! [SV1: $i] :
( ( ( ! [SY113: $i] :
~ ~ ( ~ ( in @ SY113 @ ( sK110_SY8 @ SV1 ) )
| ~ ! [SY114: $i] :
( ~ ( in @ SY114 @ ( sK110_SY8 @ SV1 ) )
| ( SY113 = SY114 )
| ( in @ SY113 @ SY114 ) ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1061]) ).
thf(1270,plain,
! [SV114: $i,SV1: $i] :
( ( ( ! [SY258: $i] :
( ~ ( in @ SY258 @ SV1 )
| ~ ( in @ SV114 @ SY258 )
| ( in @ SV114 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK111_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1062]) ).
thf(1271,plain,
! [SV1: $i] :
( ( ( ( ( sK111_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1063]) ).
thf(1272,plain,
! [SV1: $i] :
( ( ( ! [SY115: $i] :
~ ~ ( ~ ( in @ SY115 @ ( sK111_SY8 @ SV1 ) )
| ~ ! [SY116: $i] :
( ~ ( in @ SY116 @ ( sK111_SY8 @ SV1 ) )
| ( SY115 = SY116 )
| ( in @ SY115 @ SY116 ) ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1273,plain,
! [SV1: $i] :
( ( ( in @ ( sK124_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1274,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK124_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1275,plain,
! [SV1: $i] :
( ( ( ~ ! [SY153: $i] :
~ ~ ( ~ ( in @ SY153 @ ( sK124_SY8 @ SV1 ) )
| ~ ! [SY154: $i] :
( ~ ( in @ SY154 @ ( sK124_SY8 @ SV1 ) )
| ( SY153 = SY154 )
| ( in @ SY153 @ SY154 ) ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1276,plain,
! [SV1: $i] :
( ( ( in @ ( sK125_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1277,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK125_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1068]) ).
thf(1278,plain,
! [SV1: $i] :
( ( ( ~ ! [SY155: $i] :
~ ~ ( ~ ( in @ SY155 @ ( sK125_SY8 @ SV1 ) )
| ~ ! [SY156: $i] :
( ~ ( in @ SY156 @ ( sK125_SY8 @ SV1 ) )
| ( SY155 = SY156 )
| ( in @ SY155 @ SY156 ) ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1068]) ).
thf(1279,plain,
! [SV1: $i] :
( ( ( in @ ( sK126_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1280,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK126_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1281,plain,
! [SV1: $i] :
( ( ( ~ ! [SY157: $i] :
~ ~ ( ~ ( in @ SY157 @ ( sK126_SY8 @ SV1 ) )
| ~ ! [SY158: $i] :
( ~ ( in @ SY158 @ ( sK126_SY8 @ SV1 ) )
| ( SY157 = SY158 )
| ( in @ SY157 @ SY158 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1282,plain,
! [SV1: $i] :
( ( ( in @ ( sK127_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1283,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK127_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1072]) ).
thf(1284,plain,
! [SV1: $i] :
( ( ( ~ ! [SY159: $i] :
~ ~ ( ~ ( in @ SY159 @ ( sK127_SY8 @ SV1 ) )
| ~ ! [SY160: $i] :
( ~ ( in @ SY160 @ ( sK127_SY8 @ SV1 ) )
| ( SY159 = SY160 )
| ( in @ SY159 @ SY160 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1072]) ).
thf(1285,plain,
! [SV115: $i,SV1: $i] :
( ( ( ! [SY259: $i] :
( ~ ( in @ SY259 @ SV1 )
| ~ ( in @ SV115 @ SY259 )
| ( in @ SV115 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK112_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1073]) ).
thf(1286,plain,
! [SV1: $i] :
( ( ( ( ( sK112_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1287,plain,
! [SV1: $i] :
( ( ( ! [SY117: $i] :
~ ~ ( ~ ( in @ SY117 @ ( sK112_SY8 @ SV1 ) )
| ~ ! [SY118: $i] :
( ~ ( in @ SY118 @ ( sK112_SY8 @ SV1 ) )
| ( SY117 = SY118 )
| ( in @ SY117 @ SY118 ) ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1288,plain,
! [SV116: $i,SV1: $i] :
( ( ( ! [SY260: $i] :
( ~ ( in @ SY260 @ SV1 )
| ~ ( in @ SV116 @ SY260 )
| ( in @ SV116 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK113_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1076]) ).
thf(1289,plain,
! [SV1: $i] :
( ( ( ( ( sK113_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1077]) ).
thf(1290,plain,
! [SV1: $i] :
( ( ( ! [SY119: $i] :
~ ~ ( ~ ( in @ SY119 @ ( sK113_SY8 @ SV1 ) )
| ~ ! [SY120: $i] :
( ~ ( in @ SY120 @ ( sK113_SY8 @ SV1 ) )
| ( SY119 = SY120 )
| ( in @ SY119 @ SY120 ) ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1291,plain,
! [SV117: $i,SV1: $i] :
( ( ( ! [SY261: $i] :
( ~ ( in @ SY261 @ SV1 )
| ~ ( in @ SV117 @ SY261 )
| ( in @ SV117 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK114_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1292,plain,
! [SV1: $i] :
( ( ( ( ( sK114_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1293,plain,
! [SV1: $i] :
( ( ( ! [SY121: $i] :
~ ~ ( ~ ( in @ SY121 @ ( sK114_SY8 @ SV1 ) )
| ~ ! [SY122: $i] :
( ~ ( in @ SY122 @ ( sK114_SY8 @ SV1 ) )
| ( SY121 = SY122 )
| ( in @ SY121 @ SY122 ) ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1294,plain,
! [SV118: $i,SV1: $i] :
( ( ( ! [SY262: $i] :
( ~ ( in @ SY262 @ SV1 )
| ~ ( in @ SV118 @ SY262 )
| ( in @ SV118 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK115_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1082]) ).
thf(1295,plain,
! [SV1: $i] :
( ( ( ( ( sK115_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1083]) ).
thf(1296,plain,
! [SV1: $i] :
( ( ( ! [SY123: $i] :
~ ~ ( ~ ( in @ SY123 @ ( sK115_SY8 @ SV1 ) )
| ~ ! [SY124: $i] :
( ~ ( in @ SY124 @ ( sK115_SY8 @ SV1 ) )
| ( SY123 = SY124 )
| ( in @ SY123 @ SY124 ) ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1084]) ).
thf(1297,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK140_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1298,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK140_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY197: $i] :
~ ~ ( ~ ( in @ SY197 @ ( sK140_SY8 @ SV1 ) )
| ~ ! [SY198: $i] :
( ~ ( in @ SY198 @ ( sK140_SY8 @ SV1 ) )
| ( SY197 = SY198 )
| ( in @ SY197 @ SY198 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1299,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK141_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1300,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK141_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY199: $i] :
~ ~ ( ~ ( in @ SY199 @ ( sK141_SY8 @ SV1 ) )
| ~ ! [SY200: $i] :
( ~ ( in @ SY200 @ ( sK141_SY8 @ SV1 ) )
| ( SY199 = SY200 )
| ( in @ SY199 @ SY200 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1301,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK164_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK164_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY263: $i] :
~ ~ ( ~ ( in @ SY263 @ ( sK164_SY8 @ SV1 ) )
| ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ ( sK164_SY8 @ SV1 ) )
| ( SY263 = SY264 )
| ( in @ SY263 @ SY264 ) ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1087]) ).
thf(1302,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK165_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK165_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY265: $i] :
~ ~ ( ~ ( in @ SY265 @ ( sK165_SY8 @ SV1 ) )
| ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ ( sK165_SY8 @ SV1 ) )
| ( SY265 = SY266 )
| ( in @ SY265 @ SY266 ) ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1088]) ).
thf(1303,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK166_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK166_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY267: $i] :
~ ~ ( ~ ( in @ SY267 @ ( sK166_SY8 @ SV1 ) )
| ~ ! [SY268: $i] :
( ~ ( in @ SY268 @ ( sK166_SY8 @ SV1 ) )
| ( SY267 = SY268 )
| ( in @ SY267 @ SY268 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1089]) ).
thf(1304,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK167_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK167_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY269: $i] :
~ ~ ( ~ ( in @ SY269 @ ( sK167_SY8 @ SV1 ) )
| ~ ! [SY270: $i] :
( ~ ( in @ SY270 @ ( sK167_SY8 @ SV1 ) )
| ( SY269 = SY270 )
| ( in @ SY269 @ SY270 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1090]) ).
thf(1305,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK142_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1091]) ).
thf(1306,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK142_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY201: $i] :
~ ~ ( ~ ( in @ SY201 @ ( sK142_SY8 @ SV1 ) )
| ~ ! [SY202: $i] :
( ~ ( in @ SY202 @ ( sK142_SY8 @ SV1 ) )
| ( SY201 = SY202 )
| ( in @ SY201 @ SY202 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1091]) ).
thf(1307,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK143_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1308,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK143_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY203: $i] :
~ ~ ( ~ ( in @ SY203 @ ( sK143_SY8 @ SV1 ) )
| ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ ( sK143_SY8 @ SV1 ) )
| ( SY203 = SY204 )
| ( in @ SY203 @ SY204 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1309,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1310,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1311,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK144_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1312,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1313,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1096]) ).
thf(1314,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1097]) ).
thf(1315,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK145_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1316,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1317,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1318,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1319,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK146_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1320,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1321,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1102]) ).
thf(1322,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
| ~ ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1103]) ).
thf(1323,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK147_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1324,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1325,plain,
! [SV119: $i,SV1: $i] :
( ( ( ! [SY271: $i] :
( ~ ( in @ SY271 @ SV1 )
| ~ ( in @ SV119 @ SY271 )
| ( in @ SV119 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK118_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1326,plain,
! [SV1: $i] :
( ( ( ( ( sK118_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1106]) ).
thf(1327,plain,
! [SV1: $i] :
( ( ( ! [SY125: $i] :
~ ~ ( ~ ( in @ SY125 @ ( sK118_SY8 @ SV1 ) )
| ~ ! [SY126: $i] :
( ~ ( in @ SY126 @ ( sK118_SY8 @ SV1 ) )
| ( SY125 = SY126 )
| ( in @ SY125 @ SY126 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1107]) ).
thf(1328,plain,
! [SV120: $i,SV1: $i] :
( ( ( ! [SY272: $i] :
( ~ ( in @ SY272 @ SV1 )
| ~ ( in @ SV120 @ SY272 )
| ( in @ SV120 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK119_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1329,plain,
! [SV1: $i] :
( ( ( ( ( sK119_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1330,plain,
! [SV1: $i] :
( ( ( ! [SY127: $i] :
~ ~ ( ~ ( in @ SY127 @ ( sK119_SY8 @ SV1 ) )
| ~ ! [SY128: $i] :
( ~ ( in @ SY128 @ ( sK119_SY8 @ SV1 ) )
| ( SY127 = SY128 )
| ( in @ SY127 @ SY128 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1331,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK148_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1332,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK148_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY205: $i] :
~ ~ ( ~ ( in @ SY205 @ ( sK148_SY8 @ SV1 ) )
| ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ ( sK148_SY8 @ SV1 ) )
| ( SY205 = SY206 )
| ( in @ SY205 @ SY206 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1333,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK149_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1112]) ).
thf(1334,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK149_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY207: $i] :
~ ~ ( ~ ( in @ SY207 @ ( sK149_SY8 @ SV1 ) )
| ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ ( sK149_SY8 @ SV1 ) )
| ( SY207 = SY208 )
| ( in @ SY207 @ SY208 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1112]) ).
thf(1335,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK172_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK172_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY273: $i] :
~ ~ ( ~ ( in @ SY273 @ ( sK172_SY8 @ SV1 ) )
| ~ ! [SY274: $i] :
( ~ ( in @ SY274 @ ( sK172_SY8 @ SV1 ) )
| ( SY273 = SY274 )
| ( in @ SY273 @ SY274 ) ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1113]) ).
thf(1336,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK173_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK173_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY275: $i] :
~ ~ ( ~ ( in @ SY275 @ ( sK173_SY8 @ SV1 ) )
| ~ ! [SY276: $i] :
( ~ ( in @ SY276 @ ( sK173_SY8 @ SV1 ) )
| ( SY275 = SY276 )
| ( in @ SY275 @ SY276 ) ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1114]) ).
thf(1337,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK174_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK174_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY277: $i] :
~ ~ ( ~ ( in @ SY277 @ ( sK174_SY8 @ SV1 ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK174_SY8 @ SV1 ) )
| ( SY277 = SY278 )
| ( in @ SY277 @ SY278 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1115]) ).
thf(1338,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK175_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK175_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY279: $i] :
~ ~ ( ~ ( in @ SY279 @ ( sK175_SY8 @ SV1 ) )
| ~ ! [SY280: $i] :
( ~ ( in @ SY280 @ ( sK175_SY8 @ SV1 ) )
| ( SY279 = SY280 )
| ( in @ SY279 @ SY280 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1116]) ).
thf(1339,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK150_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1340,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK150_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ ( sK150_SY8 @ SV1 ) )
| ~ ! [SY210: $i] :
( ~ ( in @ SY210 @ ( sK150_SY8 @ SV1 ) )
| ( SY209 = SY210 )
| ( in @ SY209 @ SY210 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1341,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK151_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1342,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK151_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY211: $i] :
~ ~ ( ~ ( in @ SY211 @ ( sK151_SY8 @ SV1 ) )
| ~ ! [SY212: $i] :
( ~ ( in @ SY212 @ ( sK151_SY8 @ SV1 ) )
| ( SY211 = SY212 )
| ( in @ SY211 @ SY212 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1343,plain,
! [SV1: $i,SV17: $i,SV13: $i] :
( ( ( in @ SV13 @ SV17 )
= $false )
| ( ( in @ SV13 @ SV1 )
= $true )
| ( ( in @ SV17 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK40_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1344,plain,
! [SV25: $i,SV1: $i,SV41: $i] :
( ( ( in @ SV41 @ SV1 )
= $false )
| ( ( ~ ( in @ SV25 @ SV41 )
| ( in @ SV25 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK40_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1345,plain,
! [SV1: $i,SV18: $i] :
( ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY93: $i] :
( ~ ( in @ SY93 @ ( sK40_SY8 @ SV1 ) )
| ( SV18 = SY93 )
| ( in @ SV18 @ SY93 ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1346,plain,
! [SV1: $i,SV19: $i,SV14: $i] :
( ( ( in @ SV14 @ SV19 )
= $false )
| ( ( in @ SV14 @ SV1 )
= $true )
| ( ( in @ SV19 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK41_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1347,plain,
! [SV26: $i,SV1: $i,SV42: $i] :
( ( ( in @ SV42 @ SV1 )
= $false )
| ( ( ~ ( in @ SV26 @ SV42 )
| ( in @ SV26 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK41_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1123]) ).
thf(1348,plain,
! [SV1: $i,SV20: $i] :
( ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY94: $i] :
( ~ ( in @ SY94 @ ( sK41_SY8 @ SV1 ) )
| ( SV20 = SY94 )
| ( in @ SV20 @ SY94 ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1349,plain,
! [SV27: $i,SV1: $i,SV43: $i] :
( ( ( in @ SV43 @ SV1 )
= $false )
| ( ( ~ ( in @ SV27 @ SV43 )
| ( in @ SV27 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK60_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1350,plain,
! [SV77: $i,SV1: $i,SV121: $i] :
( ( ( ~ ( in @ SV121 @ SV1 )
| ~ ( in @ SV77 @ SV121 )
| ( in @ SV77 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK60_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1351,plain,
! [SV1: $i,SV44: $i] :
( ( ( ~ ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
| ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ ( sK60_SY8 @ SV1 ) )
| ( SV44 = SY161 )
| ( in @ SV44 @ SY161 ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1127]) ).
thf(1352,plain,
! [SV28: $i,SV1: $i,SV45: $i] :
( ( ( in @ SV45 @ SV1 )
= $false )
| ( ( ~ ( in @ SV28 @ SV45 )
| ( in @ SV28 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK61_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1353,plain,
! [SV78: $i,SV1: $i,SV122: $i] :
( ( ( ~ ( in @ SV122 @ SV1 )
| ~ ( in @ SV78 @ SV122 )
| ( in @ SV78 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK61_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1129]) ).
thf(1354,plain,
! [SV1: $i,SV46: $i] :
( ( ( ~ ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
| ~ ! [SY162: $i] :
( ~ ( in @ SY162 @ ( sK61_SY8 @ SV1 ) )
| ( SV46 = SY162 )
| ( in @ SV46 @ SY162 ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1130]) ).
thf(1355,plain,
! [SV47: $i,SV1: $i,SV79: $i] :
( ( ( ~ ( in @ SV79 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV47 @ SV79 )
| ( in @ SV47 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK84_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1131]) ).
thf(1356,plain,
! [SV123: $i,SV1: $i] :
( ( ( ! [SY281: $i] :
( ~ ( in @ SY281 @ SV1 )
| ~ ( in @ SV123 @ SY281 )
| ( in @ SV123 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK84_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1132]) ).
thf(1357,plain,
! [SV1: $i,SV80: $i] :
( ( ( ~ ( ~ ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
| ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ ( sK84_SY8 @ SV1 ) )
| ( SV80 = SY215 )
| ( in @ SV80 @ SY215 ) ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1358,plain,
! [SV48: $i,SV1: $i,SV81: $i] :
( ( ( ~ ( in @ SV81 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV48 @ SV81 )
| ( in @ SV48 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK85_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1359,plain,
! [SV124: $i,SV1: $i] :
( ( ( ! [SY282: $i] :
( ~ ( in @ SY282 @ SV1 )
| ~ ( in @ SV124 @ SY282 )
| ( in @ SV124 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK85_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1135]) ).
thf(1360,plain,
! [SV1: $i,SV82: $i] :
( ( ( ~ ( ~ ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
| ~ ! [SY216: $i] :
( ~ ( in @ SY216 @ ( sK85_SY8 @ SV1 ) )
| ( SV82 = SY216 )
| ( in @ SV82 @ SY216 ) ) ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1361,plain,
! [SV49: $i,SV1: $i,SV83: $i] :
( ( ( ~ ( in @ SV83 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV49 @ SV83 )
| ( in @ SV49 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK86_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1137]) ).
thf(1362,plain,
! [SV125: $i,SV1: $i] :
( ( ( ! [SY283: $i] :
( ~ ( in @ SY283 @ SV1 )
| ~ ( in @ SV125 @ SY283 )
| ( in @ SV125 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK86_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1363,plain,
! [SV1: $i,SV84: $i] :
( ( ( ~ ( ~ ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
| ~ ! [SY217: $i] :
( ~ ( in @ SY217 @ ( sK86_SY8 @ SV1 ) )
| ( SV84 = SY217 )
| ( in @ SV84 @ SY217 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1364,plain,
! [SV50: $i,SV1: $i,SV85: $i] :
( ( ( ~ ( in @ SV85 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV50 @ SV85 )
| ( in @ SV50 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK87_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1140]) ).
thf(1365,plain,
! [SV126: $i,SV1: $i] :
( ( ( ! [SY284: $i] :
( ~ ( in @ SY284 @ SV1 )
| ~ ( in @ SV126 @ SY284 )
| ( in @ SV126 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK87_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1141]) ).
thf(1366,plain,
! [SV1: $i,SV86: $i] :
( ( ( ~ ( ~ ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
| ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ ( sK87_SY8 @ SV1 ) )
| ( SV86 = SY218 )
| ( in @ SV86 @ SY218 ) ) ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1367,plain,
! [SV29: $i,SV1: $i,SV51: $i] :
( ( ( in @ SV51 @ SV1 )
= $false )
| ( ( ~ ( in @ SV29 @ SV51 )
| ( in @ SV29 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK62_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1368,plain,
! [SV87: $i,SV1: $i,SV127: $i] :
( ( ( ~ ( in @ SV127 @ SV1 )
| ~ ( in @ SV87 @ SV127 )
| ( in @ SV87 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ( sK62_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1369,plain,
! [SV1: $i,SV52: $i] :
( ( ( ~ ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
| ~ ! [SY167: $i] :
( ~ ( in @ SY167 @ ( sK62_SY8 @ SV1 ) )
| ( SV52 = SY167 )
| ( in @ SV52 @ SY167 ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1370,plain,
! [SV30: $i,SV1: $i,SV53: $i] :
( ( ( in @ SV53 @ SV1 )
= $false )
| ( ( ~ ( in @ SV30 @ SV53 )
| ( in @ SV30 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK63_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1371,plain,
! [SV88: $i,SV1: $i,SV128: $i] :
( ( ( ~ ( in @ SV128 @ SV1 )
| ~ ( in @ SV88 @ SV128 )
| ( in @ SV88 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ( sK63_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1372,plain,
! [SV1: $i,SV54: $i] :
( ( ( ~ ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
| ~ ! [SY168: $i] :
( ~ ( in @ SY168 @ ( sK63_SY8 @ SV1 ) )
| ( SV54 = SY168 )
| ( in @ SV54 @ SY168 ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1373,plain,
! [SV31: $i,SV1: $i,SV55: $i] :
( ( ( in @ SV55 @ SV1 )
= $false )
| ( ( ~ ( in @ SV31 @ SV55 )
| ( in @ SV31 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK64_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1374,plain,
! [SV89: $i,SV1: $i,SV129: $i] :
( ( ( ~ ( in @ SV129 @ SV1 )
| ~ ( in @ SV89 @ SV129 )
| ( in @ SV89 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK64_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1375,plain,
! [SV1: $i,SV56: $i] :
( ( ( ~ ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
| ~ ! [SY169: $i] :
( ~ ( in @ SY169 @ ( sK64_SY8 @ SV1 ) )
| ( SV56 = SY169 )
| ( in @ SV56 @ SY169 ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1151]) ).
thf(1376,plain,
! [SV32: $i,SV1: $i,SV57: $i] :
( ( ( in @ SV57 @ SV1 )
= $false )
| ( ( ~ ( in @ SV32 @ SV57 )
| ( in @ SV32 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK65_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1377,plain,
! [SV90: $i,SV1: $i,SV130: $i] :
( ( ( ~ ( in @ SV130 @ SV1 )
| ~ ( in @ SV90 @ SV130 )
| ( in @ SV90 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK65_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1153]) ).
thf(1378,plain,
! [SV1: $i,SV58: $i] :
( ( ( ~ ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
| ~ ! [SY170: $i] :
( ~ ( in @ SY170 @ ( sK65_SY8 @ SV1 ) )
| ( SV58 = SY170 )
| ( in @ SV58 @ SY170 ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1154]) ).
thf(1379,plain,
! [SV91: $i,SV1: $i,SV131: $i] :
( ( ( ~ ( in @ SV131 @ SV1 )
| ~ ( in @ SV91 @ SV131 )
| ( in @ SV91 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK100_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1380,plain,
! [SV1: $i] :
( ( ( ( sK100_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1156]) ).
thf(1381,plain,
! [SV1: $i,SV132: $i] :
( ( ( ~ ~ ( ~ ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
| ~ ! [SY285: $i] :
( ~ ( in @ SY285 @ ( sK100_SY8 @ SV1 ) )
| ( SV132 = SY285 )
| ( in @ SV132 @ SY285 ) ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1382,plain,
! [SV92: $i,SV1: $i,SV133: $i] :
( ( ( ~ ( in @ SV133 @ SV1 )
| ~ ( in @ SV92 @ SV133 )
| ( in @ SV92 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK101_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1383,plain,
! [SV1: $i] :
( ( ( ( sK101_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1384,plain,
! [SV1: $i,SV134: $i] :
( ( ( ~ ~ ( ~ ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
| ~ ! [SY286: $i] :
( ~ ( in @ SY286 @ ( sK101_SY8 @ SV1 ) )
| ( SV134 = SY286 )
| ( in @ SV134 @ SY286 ) ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1160]) ).
thf(1385,plain,
! [SV135: $i,SV1: $i] :
( ( ( ! [SY287: $i] :
( ~ ( in @ SY287 @ SV1 )
| ~ ( in @ SV135 @ SY287 )
| ( in @ SV135 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK120_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1161]) ).
thf(1386,plain,
! [SV1: $i] :
( ( ( ( ( sK120_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1162]) ).
thf(1387,plain,
! [SV1: $i] :
( ( ( ! [SY137: $i] :
~ ~ ( ~ ( in @ SY137 @ ( sK120_SY8 @ SV1 ) )
| ~ ! [SY138: $i] :
( ~ ( in @ SY138 @ ( sK120_SY8 @ SV1 ) )
| ( SY137 = SY138 )
| ( in @ SY137 @ SY138 ) ) ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1163]) ).
thf(1388,plain,
! [SV136: $i,SV1: $i] :
( ( ( ! [SY288: $i] :
( ~ ( in @ SY288 @ SV1 )
| ~ ( in @ SV136 @ SY288 )
| ( in @ SV136 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK121_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1389,plain,
! [SV1: $i] :
( ( ( ( ( sK121_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1390,plain,
! [SV1: $i] :
( ( ( ! [SY139: $i] :
~ ~ ( ~ ( in @ SY139 @ ( sK121_SY8 @ SV1 ) )
| ~ ! [SY140: $i] :
( ~ ( in @ SY140 @ ( sK121_SY8 @ SV1 ) )
| ( SY139 = SY140 )
| ( in @ SY139 @ SY140 ) ) ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1166]) ).
thf(1391,plain,
! [SV137: $i,SV1: $i] :
( ( ( ! [SY289: $i] :
( ~ ( in @ SY289 @ SV1 )
| ~ ( in @ SV137 @ SY289 )
| ( in @ SV137 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK122_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1167]) ).
thf(1392,plain,
! [SV1: $i] :
( ( ( ( ( sK122_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1393,plain,
! [SV1: $i] :
( ( ( ! [SY141: $i] :
~ ~ ( ~ ( in @ SY141 @ ( sK122_SY8 @ SV1 ) )
| ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ ( sK122_SY8 @ SV1 ) )
| ( SY141 = SY142 )
| ( in @ SY141 @ SY142 ) ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1394,plain,
! [SV138: $i,SV1: $i] :
( ( ( ! [SY290: $i] :
( ~ ( in @ SY290 @ SV1 )
| ~ ( in @ SV138 @ SY290 )
| ( in @ SV138 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK123_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1170]) ).
thf(1395,plain,
! [SV1: $i] :
( ( ( ( ( sK123_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1396,plain,
! [SV1: $i] :
( ( ( ! [SY143: $i] :
~ ~ ( ~ ( in @ SY143 @ ( sK123_SY8 @ SV1 ) )
| ~ ! [SY144: $i] :
( ~ ( in @ SY144 @ ( sK123_SY8 @ SV1 ) )
| ( SY143 = SY144 )
| ( in @ SY143 @ SY144 ) ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1397,plain,
! [SV93: $i,SV1: $i,SV139: $i] :
( ( ( ~ ( in @ SV139 @ SV1 )
| ~ ( in @ SV93 @ SV139 )
| ( in @ SV93 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK102_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1173]) ).
thf(1398,plain,
! [SV1: $i] :
( ( ( ( sK102_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1399,plain,
! [SV1: $i,SV140: $i] :
( ( ( ~ ~ ( ~ ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
| ~ ! [SY291: $i] :
( ~ ( in @ SY291 @ ( sK102_SY8 @ SV1 ) )
| ( SV140 = SY291 )
| ( in @ SV140 @ SY291 ) ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1400,plain,
! [SV94: $i,SV1: $i,SV141: $i] :
( ( ( ~ ( in @ SV141 @ SV1 )
| ~ ( in @ SV94 @ SV141 )
| ( in @ SV94 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK103_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1401,plain,
! [SV1: $i] :
( ( ( ( sK103_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1177]) ).
thf(1402,plain,
! [SV1: $i,SV142: $i] :
( ( ( ~ ~ ( ~ ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
| ~ ! [SY292: $i] :
( ~ ( in @ SY292 @ ( sK103_SY8 @ SV1 ) )
| ( SV142 = SY292 )
| ( in @ SV142 @ SY292 ) ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1403,plain,
! [SV95: $i,SV1: $i,SV143: $i] :
( ( ( ~ ( in @ SV143 @ SV1 )
| ~ ( in @ SV95 @ SV143 )
| ( in @ SV95 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK104_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1179]) ).
thf(1404,plain,
! [SV1: $i] :
( ( ( ( sK104_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1405,plain,
! [SV1: $i,SV144: $i] :
( ( ( ~ ~ ( ~ ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
| ~ ! [SY293: $i] :
( ~ ( in @ SY293 @ ( sK104_SY8 @ SV1 ) )
| ( SV144 = SY293 )
| ( in @ SV144 @ SY293 ) ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1181]) ).
thf(1406,plain,
! [SV96: $i,SV1: $i,SV145: $i] :
( ( ( ~ ( in @ SV145 @ SV1 )
| ~ ( in @ SV96 @ SV145 )
| ( in @ SV96 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK105_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1182]) ).
thf(1407,plain,
! [SV1: $i] :
( ( ( ( sK105_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1408,plain,
! [SV1: $i,SV146: $i] :
( ( ( ~ ~ ( ~ ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
| ~ ! [SY294: $i] :
( ~ ( in @ SY294 @ ( sK105_SY8 @ SV1 ) )
| ( SV146 = SY294 )
| ( in @ SV146 @ SY294 ) ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1184]) ).
thf(1409,plain,
! [SV1: $i] :
( ( ( in @ ( sK128_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1185]) ).
thf(1410,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK128_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1411,plain,
! [SV1: $i] :
( ( ( ~ ! [SY171: $i] :
~ ~ ( ~ ( in @ SY171 @ ( sK128_SY8 @ SV1 ) )
| ~ ! [SY172: $i] :
( ~ ( in @ SY172 @ ( sK128_SY8 @ SV1 ) )
| ( SY171 = SY172 )
| ( in @ SY171 @ SY172 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1412,plain,
! [SV1: $i] :
( ( ( in @ ( sK129_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1413,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK129_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1414,plain,
! [SV1: $i] :
( ( ( ~ ! [SY173: $i] :
~ ~ ( ~ ( in @ SY173 @ ( sK129_SY8 @ SV1 ) )
| ~ ! [SY174: $i] :
( ~ ( in @ SY174 @ ( sK129_SY8 @ SV1 ) )
| ( SY173 = SY174 )
| ( in @ SY173 @ SY174 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1188]) ).
thf(1415,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK152_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1189]) ).
thf(1416,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK152_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY229: $i] :
~ ~ ( ~ ( in @ SY229 @ ( sK152_SY8 @ SV1 ) )
| ~ ! [SY230: $i] :
( ~ ( in @ SY230 @ ( sK152_SY8 @ SV1 ) )
| ( SY229 = SY230 )
| ( in @ SY229 @ SY230 ) ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1189]) ).
thf(1417,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK153_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1190]) ).
thf(1418,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK153_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY231: $i] :
~ ~ ( ~ ( in @ SY231 @ ( sK153_SY8 @ SV1 ) )
| ~ ! [SY232: $i] :
( ~ ( in @ SY232 @ ( sK153_SY8 @ SV1 ) )
| ( SY231 = SY232 )
| ( in @ SY231 @ SY232 ) ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1190]) ).
thf(1419,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK154_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1191]) ).
thf(1420,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK154_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY233: $i] :
~ ~ ( ~ ( in @ SY233 @ ( sK154_SY8 @ SV1 ) )
| ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ ( sK154_SY8 @ SV1 ) )
| ( SY233 = SY234 )
| ( in @ SY233 @ SY234 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1191]) ).
thf(1421,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK155_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1422,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK155_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY235: $i] :
~ ~ ( ~ ( in @ SY235 @ ( sK155_SY8 @ SV1 ) )
| ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ ( sK155_SY8 @ SV1 ) )
| ( SY235 = SY236 )
| ( in @ SY235 @ SY236 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1423,plain,
! [SV1: $i] :
( ( ( in @ ( sK130_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1424,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK130_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1194]) ).
thf(1425,plain,
! [SV1: $i] :
( ( ( ~ ! [SY175: $i] :
~ ~ ( ~ ( in @ SY175 @ ( sK130_SY8 @ SV1 ) )
| ~ ! [SY176: $i] :
( ~ ( in @ SY176 @ ( sK130_SY8 @ SV1 ) )
| ( SY175 = SY176 )
| ( in @ SY175 @ SY176 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1194]) ).
thf(1426,plain,
! [SV1: $i] :
( ( ( in @ ( sK131_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1195]) ).
thf(1427,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK131_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1196]) ).
thf(1428,plain,
! [SV1: $i] :
( ( ( ~ ! [SY177: $i] :
~ ~ ( ~ ( in @ SY177 @ ( sK131_SY8 @ SV1 ) )
| ~ ! [SY178: $i] :
( ~ ( in @ SY178 @ ( sK131_SY8 @ SV1 ) )
| ( SY177 = SY178 )
| ( in @ SY177 @ SY178 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1196]) ).
thf(1429,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK176_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK176_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY295: $i] :
~ ~ ( ~ ( in @ SY295 @ ( sK176_SY8 @ SV1 ) )
| ~ ! [SY296: $i] :
( ~ ( in @ SY296 @ ( sK176_SY8 @ SV1 ) )
| ( SY295 = SY296 )
| ( in @ SY295 @ SY296 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1197]) ).
thf(1430,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK177_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK177_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY297: $i] :
~ ~ ( ~ ( in @ SY297 @ ( sK177_SY8 @ SV1 ) )
| ~ ! [SY298: $i] :
( ~ ( in @ SY298 @ ( sK177_SY8 @ SV1 ) )
| ( SY297 = SY298 )
| ( in @ SY297 @ SY298 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1198]) ).
thf(1431,plain,
! [SV1: $i] :
( ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1432,plain,
! [SV1: $i] :
( ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1433,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK156_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1201]) ).
thf(1434,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1201]) ).
thf(1435,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK157_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1202]) ).
thf(1436,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1202]) ).
thf(1437,plain,
! [SV1: $i] :
( ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1438,plain,
! [SV1: $i] :
( ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1439,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK178_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK178_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY299: $i] :
~ ~ ( ~ ( in @ SY299 @ ( sK178_SY8 @ SV1 ) )
| ~ ! [SY300: $i] :
( ~ ( in @ SY300 @ ( sK178_SY8 @ SV1 ) )
| ( SY299 = SY300 )
| ( in @ SY299 @ SY300 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1205]) ).
thf(1440,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK179_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK179_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY301: $i] :
~ ~ ( ~ ( in @ SY301 @ ( sK179_SY8 @ SV1 ) )
| ~ ! [SY302: $i] :
( ~ ( in @ SY302 @ ( sK179_SY8 @ SV1 ) )
| ( SY301 = SY302 )
| ( in @ SY301 @ SY302 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1206]) ).
thf(1441,plain,
! [SV1: $i] :
( ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1207]) ).
thf(1442,plain,
! [SV1: $i] :
( ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1208]) ).
thf(1443,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK158_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1209]) ).
thf(1444,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1209]) ).
thf(1445,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK159_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1210]) ).
thf(1446,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1210]) ).
thf(1447,plain,
! [SV1: $i] :
( ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1448,plain,
! [SV1: $i] :
( ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1212]) ).
thf(1449,plain,
! [SV97: $i,SV1: $i,SV147: $i] :
( ( ( ~ ( in @ SV147 @ SV1 )
| ~ ( in @ SV97 @ SV147 )
| ( in @ SV97 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK108_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1450,plain,
! [SV1: $i] :
( ( ( ( sK108_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1451,plain,
! [SV1: $i,SV148: $i] :
( ( ( ~ ~ ( ~ ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
| ~ ! [SY303: $i] :
( ~ ( in @ SY303 @ ( sK108_SY8 @ SV1 ) )
| ( SV148 = SY303 )
| ( in @ SV148 @ SY303 ) ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1215]) ).
thf(1452,plain,
! [SV98: $i,SV1: $i,SV149: $i] :
( ( ( ~ ( in @ SV149 @ SV1 )
| ~ ( in @ SV98 @ SV149 )
| ( in @ SV98 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK109_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1216]) ).
thf(1453,plain,
! [SV1: $i] :
( ( ( ( sK109_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1217]) ).
thf(1454,plain,
! [SV1: $i,SV150: $i] :
( ( ( ~ ~ ( ~ ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
| ~ ! [SY304: $i] :
( ~ ( in @ SY304 @ ( sK109_SY8 @ SV1 ) )
| ( SV150 = SY304 )
| ( in @ SV150 @ SY304 ) ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1455,plain,
! [SV1: $i] :
( ( ( in @ ( sK136_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1219]) ).
thf(1456,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK136_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1457,plain,
! [SV1: $i] :
( ( ( ~ ! [SY179: $i] :
~ ~ ( ~ ( in @ SY179 @ ( sK136_SY8 @ SV1 ) )
| ~ ! [SY180: $i] :
( ~ ( in @ SY180 @ ( sK136_SY8 @ SV1 ) )
| ( SY179 = SY180 )
| ( in @ SY179 @ SY180 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1458,plain,
! [SV1: $i] :
( ( ( in @ ( sK137_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1221]) ).
thf(1459,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK137_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1222]) ).
thf(1460,plain,
! [SV1: $i] :
( ( ( ~ ! [SY181: $i] :
~ ~ ( ~ ( in @ SY181 @ ( sK137_SY8 @ SV1 ) )
| ~ ! [SY182: $i] :
( ~ ( in @ SY182 @ ( sK137_SY8 @ SV1 ) )
| ( SY181 = SY182 )
| ( in @ SY181 @ SY182 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1222]) ).
thf(1461,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK160_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1223]) ).
thf(1462,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK160_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY239: $i] :
~ ~ ( ~ ( in @ SY239 @ ( sK160_SY8 @ SV1 ) )
| ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ ( sK160_SY8 @ SV1 ) )
| ( SY239 = SY240 )
| ( in @ SY239 @ SY240 ) ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1223]) ).
thf(1463,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK161_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1464,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK161_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ ( sK161_SY8 @ SV1 ) )
| ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ ( sK161_SY8 @ SV1 ) )
| ( SY241 = SY242 )
| ( in @ SY241 @ SY242 ) ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1465,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK162_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1225]) ).
thf(1466,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK162_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY243: $i] :
~ ~ ( ~ ( in @ SY243 @ ( sK162_SY8 @ SV1 ) )
| ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ ( sK162_SY8 @ SV1 ) )
| ( SY243 = SY244 )
| ( in @ SY243 @ SY244 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1225]) ).
thf(1467,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK163_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1468,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK163_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY245: $i] :
~ ~ ( ~ ( in @ SY245 @ ( sK163_SY8 @ SV1 ) )
| ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ ( sK163_SY8 @ SV1 ) )
| ( SY245 = SY246 )
| ( in @ SY245 @ SY246 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1469,plain,
! [SV1: $i] :
( ( ( in @ ( sK138_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1470,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK138_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1471,plain,
! [SV1: $i] :
( ( ( ~ ! [SY183: $i] :
~ ~ ( ~ ( in @ SY183 @ ( sK138_SY8 @ SV1 ) )
| ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ ( sK138_SY8 @ SV1 ) )
| ( SY183 = SY184 )
| ( in @ SY183 @ SY184 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1472,plain,
! [SV1: $i] :
( ( ( in @ ( sK139_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1229]) ).
thf(1473,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK139_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1230]) ).
thf(1474,plain,
! [SV1: $i] :
( ( ( ~ ! [SY185: $i] :
~ ~ ( ~ ( in @ SY185 @ ( sK139_SY8 @ SV1 ) )
| ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ ( sK139_SY8 @ SV1 ) )
| ( SY185 = SY186 )
| ( in @ SY185 @ SY186 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1230]) ).
thf(1475,plain,
! [SV1: $i,SV21: $i,SV15: $i] :
( ( ( in @ SV15 @ SV21 )
= $false )
| ( ( in @ SV15 @ SV1 )
= $true )
| ( ( in @ SV21 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK48_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1476,plain,
! [SV33: $i,SV1: $i,SV59: $i] :
( ( ( in @ SV59 @ SV1 )
= $false )
| ( ( ~ ( in @ SV33 @ SV59 )
| ( in @ SV33 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK48_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1477,plain,
! [SV1: $i,SV22: $i] :
( ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY111: $i] :
( ~ ( in @ SY111 @ ( sK48_SY8 @ SV1 ) )
| ( SV22 = SY111 )
| ( in @ SV22 @ SY111 ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1478,plain,
! [SV1: $i,SV23: $i,SV16: $i] :
( ( ( in @ SV16 @ SV23 )
= $false )
| ( ( in @ SV16 @ SV1 )
= $true )
| ( ( in @ SV23 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK49_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1479,plain,
! [SV34: $i,SV1: $i,SV60: $i] :
( ( ( in @ SV60 @ SV1 )
= $false )
| ( ( ~ ( in @ SV34 @ SV60 )
| ( in @ SV34 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK49_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1480,plain,
! [SV1: $i,SV24: $i] :
( ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY112: $i] :
( ~ ( in @ SY112 @ ( sK49_SY8 @ SV1 ) )
| ( SV24 = SY112 )
| ( in @ SV24 @ SY112 ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1481,plain,
! [SV35: $i,SV1: $i,SV61: $i] :
( ( ( in @ SV61 @ SV1 )
= $false )
| ( ( ~ ( in @ SV35 @ SV61 )
| ( in @ SV35 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK72_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1482,plain,
! [SV99: $i,SV1: $i,SV151: $i] :
( ( ( ~ ( in @ SV151 @ SV1 )
| ~ ( in @ SV99 @ SV151 )
| ( in @ SV99 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK72_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1238]) ).
thf(1483,plain,
! [SV1: $i,SV62: $i] :
( ( ( ~ ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
| ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ ( sK72_SY8 @ SV1 ) )
| ( SV62 = SY187 )
| ( in @ SV62 @ SY187 ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1239]) ).
thf(1484,plain,
! [SV36: $i,SV1: $i,SV63: $i] :
( ( ( in @ SV63 @ SV1 )
= $false )
| ( ( ~ ( in @ SV36 @ SV63 )
| ( in @ SV36 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK73_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1485,plain,
! [SV100: $i,SV1: $i,SV152: $i] :
( ( ( ~ ( in @ SV152 @ SV1 )
| ~ ( in @ SV100 @ SV152 )
| ( in @ SV100 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK73_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1486,plain,
! [SV1: $i,SV64: $i] :
( ( ( ~ ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ ( sK73_SY8 @ SV1 ) )
| ( SV64 = SY188 )
| ( in @ SV64 @ SY188 ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1487,plain,
! [SV65: $i,SV1: $i,SV101: $i] :
( ( ( ~ ( in @ SV101 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV65 @ SV101 )
| ( in @ SV65 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK92_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1243]) ).
thf(1488,plain,
! [SV153: $i,SV1: $i] :
( ( ( ! [SY305: $i] :
( ~ ( in @ SY305 @ SV1 )
| ~ ( in @ SV153 @ SY305 )
| ( in @ SV153 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK92_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1244]) ).
thf(1489,plain,
! [SV1: $i,SV102: $i] :
( ( ( ~ ( ~ ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
| ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ ( sK92_SY8 @ SV1 ) )
| ( SV102 = SY249 )
| ( in @ SV102 @ SY249 ) ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1490,plain,
! [SV66: $i,SV1: $i,SV103: $i] :
( ( ( ~ ( in @ SV103 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV66 @ SV103 )
| ( in @ SV66 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK93_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1246]) ).
thf(1491,plain,
! [SV154: $i,SV1: $i] :
( ( ( ! [SY306: $i] :
( ~ ( in @ SY306 @ SV1 )
| ~ ( in @ SV154 @ SY306 )
| ( in @ SV154 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK93_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1492,plain,
! [SV1: $i,SV104: $i] :
( ( ( ~ ( ~ ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
| ~ ! [SY250: $i] :
( ~ ( in @ SY250 @ ( sK93_SY8 @ SV1 ) )
| ( SV104 = SY250 )
| ( in @ SV104 @ SY250 ) ) ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1493,plain,
! [SV67: $i,SV1: $i,SV105: $i] :
( ( ( ~ ( in @ SV105 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV67 @ SV105 )
| ( in @ SV67 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK94_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1249]) ).
thf(1494,plain,
! [SV155: $i,SV1: $i] :
( ( ( ! [SY307: $i] :
( ~ ( in @ SY307 @ SV1 )
| ~ ( in @ SV155 @ SY307 )
| ( in @ SV155 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK94_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1495,plain,
! [SV1: $i,SV106: $i] :
( ( ( ~ ( ~ ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
| ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ ( sK94_SY8 @ SV1 ) )
| ( SV106 = SY251 )
| ( in @ SV106 @ SY251 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1496,plain,
! [SV68: $i,SV1: $i,SV107: $i] :
( ( ( ~ ( in @ SV107 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV68 @ SV107 )
| ( in @ SV68 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK95_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1252]) ).
thf(1497,plain,
! [SV156: $i,SV1: $i] :
( ( ( ! [SY308: $i] :
( ~ ( in @ SY308 @ SV1 )
| ~ ( in @ SV156 @ SY308 )
| ( in @ SV156 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK95_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1498,plain,
! [SV1: $i,SV108: $i] :
( ( ( ~ ( ~ ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
| ~ ! [SY252: $i] :
( ~ ( in @ SY252 @ ( sK95_SY8 @ SV1 ) )
| ( SV108 = SY252 )
| ( in @ SV108 @ SY252 ) ) ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1499,plain,
! [SV37: $i,SV1: $i,SV69: $i] :
( ( ( in @ SV69 @ SV1 )
= $false )
| ( ( ~ ( in @ SV37 @ SV69 )
| ( in @ SV37 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK74_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1500,plain,
! [SV109: $i,SV1: $i,SV157: $i] :
( ( ( ~ ( in @ SV157 @ SV1 )
| ~ ( in @ SV109 @ SV157 )
| ( in @ SV109 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ( sK74_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1501,plain,
! [SV1: $i,SV70: $i] :
( ( ( ~ ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
| ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ ( sK74_SY8 @ SV1 ) )
| ( SV70 = SY193 )
| ( in @ SV70 @ SY193 ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1257]) ).
thf(1502,plain,
! [SV38: $i,SV1: $i,SV71: $i] :
( ( ( in @ SV71 @ SV1 )
= $false )
| ( ( ~ ( in @ SV38 @ SV71 )
| ( in @ SV38 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK75_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1503,plain,
! [SV110: $i,SV1: $i,SV158: $i] :
( ( ( ~ ( in @ SV158 @ SV1 )
| ~ ( in @ SV110 @ SV158 )
| ( in @ SV110 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ( sK75_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1259]) ).
thf(1504,plain,
! [SV1: $i,SV72: $i] :
( ( ( ~ ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ ( sK75_SY8 @ SV1 ) )
| ( SV72 = SY194 )
| ( in @ SV72 @ SY194 ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1260]) ).
thf(1505,plain,
! [SV39: $i,SV1: $i,SV73: $i] :
( ( ( in @ SV73 @ SV1 )
= $false )
| ( ( ~ ( in @ SV39 @ SV73 )
| ( in @ SV39 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK76_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1261]) ).
thf(1506,plain,
! [SV111: $i,SV1: $i,SV159: $i] :
( ( ( ~ ( in @ SV159 @ SV1 )
| ~ ( in @ SV111 @ SV159 )
| ( in @ SV111 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK76_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1262]) ).
thf(1507,plain,
! [SV1: $i,SV74: $i] :
( ( ( ~ ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
| ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ ( sK76_SY8 @ SV1 ) )
| ( SV74 = SY195 )
| ( in @ SV74 @ SY195 ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1263]) ).
thf(1508,plain,
! [SV40: $i,SV1: $i,SV75: $i] :
( ( ( in @ SV75 @ SV1 )
= $false )
| ( ( ~ ( in @ SV40 @ SV75 )
| ( in @ SV40 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK77_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1509,plain,
! [SV112: $i,SV1: $i,SV160: $i] :
( ( ( ~ ( in @ SV160 @ SV1 )
| ~ ( in @ SV112 @ SV160 )
| ( in @ SV112 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK77_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1510,plain,
! [SV1: $i,SV76: $i] :
( ( ( ~ ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
| ~ ! [SY196: $i] :
( ~ ( in @ SY196 @ ( sK77_SY8 @ SV1 ) )
| ( SV76 = SY196 )
| ( in @ SV76 @ SY196 ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1511,plain,
! [SV113: $i,SV1: $i,SV161: $i] :
( ( ( ~ ( in @ SV161 @ SV1 )
| ~ ( in @ SV113 @ SV161 )
| ( in @ SV113 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK110_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1512,plain,
! [SV1: $i] :
( ( ( ( sK110_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1513,plain,
! [SV1: $i,SV162: $i] :
( ( ( ~ ~ ( ~ ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
| ~ ! [SY309: $i] :
( ~ ( in @ SY309 @ ( sK110_SY8 @ SV1 ) )
| ( SV162 = SY309 )
| ( in @ SV162 @ SY309 ) ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1514,plain,
! [SV114: $i,SV1: $i,SV163: $i] :
( ( ( ~ ( in @ SV163 @ SV1 )
| ~ ( in @ SV114 @ SV163 )
| ( in @ SV114 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK111_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1515,plain,
! [SV1: $i] :
( ( ( ( sK111_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1516,plain,
! [SV1: $i,SV164: $i] :
( ( ( ~ ~ ( ~ ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
| ~ ! [SY310: $i] :
( ~ ( in @ SY310 @ ( sK111_SY8 @ SV1 ) )
| ( SV164 = SY310 )
| ( in @ SV164 @ SY310 ) ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1517,plain,
! [SV165: $i,SV1: $i] :
( ( ( ! [SY311: $i] :
( ~ ( in @ SY311 @ SV1 )
| ~ ( in @ SV165 @ SY311 )
| ( in @ SV165 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK124_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1273]) ).
thf(1518,plain,
! [SV1: $i] :
( ( ( ( ( sK124_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1274]) ).
thf(1519,plain,
! [SV1: $i] :
( ( ( ! [SY153: $i] :
~ ~ ( ~ ( in @ SY153 @ ( sK124_SY8 @ SV1 ) )
| ~ ! [SY154: $i] :
( ~ ( in @ SY154 @ ( sK124_SY8 @ SV1 ) )
| ( SY153 = SY154 )
| ( in @ SY153 @ SY154 ) ) ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1275]) ).
thf(1520,plain,
! [SV166: $i,SV1: $i] :
( ( ( ! [SY312: $i] :
( ~ ( in @ SY312 @ SV1 )
| ~ ( in @ SV166 @ SY312 )
| ( in @ SV166 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK125_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1276]) ).
thf(1521,plain,
! [SV1: $i] :
( ( ( ( ( sK125_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1277]) ).
thf(1522,plain,
! [SV1: $i] :
( ( ( ! [SY155: $i] :
~ ~ ( ~ ( in @ SY155 @ ( sK125_SY8 @ SV1 ) )
| ~ ! [SY156: $i] :
( ~ ( in @ SY156 @ ( sK125_SY8 @ SV1 ) )
| ( SY155 = SY156 )
| ( in @ SY155 @ SY156 ) ) ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1278]) ).
thf(1523,plain,
! [SV167: $i,SV1: $i] :
( ( ( ! [SY313: $i] :
( ~ ( in @ SY313 @ SV1 )
| ~ ( in @ SV167 @ SY313 )
| ( in @ SV167 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK126_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1279]) ).
thf(1524,plain,
! [SV1: $i] :
( ( ( ( ( sK126_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1280]) ).
thf(1525,plain,
! [SV1: $i] :
( ( ( ! [SY157: $i] :
~ ~ ( ~ ( in @ SY157 @ ( sK126_SY8 @ SV1 ) )
| ~ ! [SY158: $i] :
( ~ ( in @ SY158 @ ( sK126_SY8 @ SV1 ) )
| ( SY157 = SY158 )
| ( in @ SY157 @ SY158 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1281]) ).
thf(1526,plain,
! [SV168: $i,SV1: $i] :
( ( ( ! [SY314: $i] :
( ~ ( in @ SY314 @ SV1 )
| ~ ( in @ SV168 @ SY314 )
| ( in @ SV168 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK127_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1282]) ).
thf(1527,plain,
! [SV1: $i] :
( ( ( ( ( sK127_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1283]) ).
thf(1528,plain,
! [SV1: $i] :
( ( ( ! [SY159: $i] :
~ ~ ( ~ ( in @ SY159 @ ( sK127_SY8 @ SV1 ) )
| ~ ! [SY160: $i] :
( ~ ( in @ SY160 @ ( sK127_SY8 @ SV1 ) )
| ( SY159 = SY160 )
| ( in @ SY159 @ SY160 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1284]) ).
thf(1529,plain,
! [SV115: $i,SV1: $i,SV169: $i] :
( ( ( ~ ( in @ SV169 @ SV1 )
| ~ ( in @ SV115 @ SV169 )
| ( in @ SV115 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK112_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1285]) ).
thf(1530,plain,
! [SV1: $i] :
( ( ( ( sK112_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1531,plain,
! [SV1: $i,SV170: $i] :
( ( ( ~ ~ ( ~ ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
| ~ ! [SY315: $i] :
( ~ ( in @ SY315 @ ( sK112_SY8 @ SV1 ) )
| ( SV170 = SY315 )
| ( in @ SV170 @ SY315 ) ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1287]) ).
thf(1532,plain,
! [SV116: $i,SV1: $i,SV171: $i] :
( ( ( ~ ( in @ SV171 @ SV1 )
| ~ ( in @ SV116 @ SV171 )
| ( in @ SV116 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK113_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1533,plain,
! [SV1: $i] :
( ( ( ( sK113_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1534,plain,
! [SV1: $i,SV172: $i] :
( ( ( ~ ~ ( ~ ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
| ~ ! [SY316: $i] :
( ~ ( in @ SY316 @ ( sK113_SY8 @ SV1 ) )
| ( SV172 = SY316 )
| ( in @ SV172 @ SY316 ) ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1535,plain,
! [SV117: $i,SV1: $i,SV173: $i] :
( ( ( ~ ( in @ SV173 @ SV1 )
| ~ ( in @ SV117 @ SV173 )
| ( in @ SV117 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK114_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1536,plain,
! [SV1: $i] :
( ( ( ( sK114_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1537,plain,
! [SV1: $i,SV174: $i] :
( ( ( ~ ~ ( ~ ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
| ~ ! [SY317: $i] :
( ~ ( in @ SY317 @ ( sK114_SY8 @ SV1 ) )
| ( SV174 = SY317 )
| ( in @ SV174 @ SY317 ) ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1293]) ).
thf(1538,plain,
! [SV118: $i,SV1: $i,SV175: $i] :
( ( ( ~ ( in @ SV175 @ SV1 )
| ~ ( in @ SV118 @ SV175 )
| ( in @ SV118 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK115_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1539,plain,
! [SV1: $i] :
( ( ( ( sK115_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1540,plain,
! [SV1: $i,SV176: $i] :
( ( ( ~ ~ ( ~ ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
| ~ ! [SY318: $i] :
( ~ ( in @ SY318 @ ( sK115_SY8 @ SV1 ) )
| ( SV176 = SY318 )
| ( in @ SV176 @ SY318 ) ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1296]) ).
thf(1541,plain,
! [SV1: $i] :
( ( ( in @ ( sK140_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1297]) ).
thf(1542,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK140_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1543,plain,
! [SV1: $i] :
( ( ( ~ ! [SY197: $i] :
~ ~ ( ~ ( in @ SY197 @ ( sK140_SY8 @ SV1 ) )
| ~ ! [SY198: $i] :
( ~ ( in @ SY198 @ ( sK140_SY8 @ SV1 ) )
| ( SY197 = SY198 )
| ( in @ SY197 @ SY198 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1544,plain,
! [SV1: $i] :
( ( ( in @ ( sK141_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1299]) ).
thf(1545,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK141_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1300]) ).
thf(1546,plain,
! [SV1: $i] :
( ( ( ~ ! [SY199: $i] :
~ ~ ( ~ ( in @ SY199 @ ( sK141_SY8 @ SV1 ) )
| ~ ! [SY200: $i] :
( ~ ( in @ SY200 @ ( sK141_SY8 @ SV1 ) )
| ( SY199 = SY200 )
| ( in @ SY199 @ SY200 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1300]) ).
thf(1547,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK164_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1301]) ).
thf(1548,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK164_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY263: $i] :
~ ~ ( ~ ( in @ SY263 @ ( sK164_SY8 @ SV1 ) )
| ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ ( sK164_SY8 @ SV1 ) )
| ( SY263 = SY264 )
| ( in @ SY263 @ SY264 ) ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1301]) ).
thf(1549,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK165_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1550,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK165_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY265: $i] :
~ ~ ( ~ ( in @ SY265 @ ( sK165_SY8 @ SV1 ) )
| ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ ( sK165_SY8 @ SV1 ) )
| ( SY265 = SY266 )
| ( in @ SY265 @ SY266 ) ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1551,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK166_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1552,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK166_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY267: $i] :
~ ~ ( ~ ( in @ SY267 @ ( sK166_SY8 @ SV1 ) )
| ~ ! [SY268: $i] :
( ~ ( in @ SY268 @ ( sK166_SY8 @ SV1 ) )
| ( SY267 = SY268 )
| ( in @ SY267 @ SY268 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1553,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK167_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1554,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK167_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY269: $i] :
~ ~ ( ~ ( in @ SY269 @ ( sK167_SY8 @ SV1 ) )
| ~ ! [SY270: $i] :
( ~ ( in @ SY270 @ ( sK167_SY8 @ SV1 ) )
| ( SY269 = SY270 )
| ( in @ SY269 @ SY270 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1555,plain,
! [SV1: $i] :
( ( ( in @ ( sK142_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1305]) ).
thf(1556,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK142_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1557,plain,
! [SV1: $i] :
( ( ( ~ ! [SY201: $i] :
~ ~ ( ~ ( in @ SY201 @ ( sK142_SY8 @ SV1 ) )
| ~ ! [SY202: $i] :
( ~ ( in @ SY202 @ ( sK142_SY8 @ SV1 ) )
| ( SY201 = SY202 )
| ( in @ SY201 @ SY202 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1558,plain,
! [SV1: $i] :
( ( ( in @ ( sK143_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1307]) ).
thf(1559,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK143_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1308]) ).
thf(1560,plain,
! [SV1: $i] :
( ( ( ~ ! [SY203: $i] :
~ ~ ( ~ ( in @ SY203 @ ( sK143_SY8 @ SV1 ) )
| ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ ( sK143_SY8 @ SV1 ) )
| ( SY203 = SY204 )
| ( in @ SY203 @ SY204 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1308]) ).
thf(1561,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK180_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK180_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY319: $i] :
~ ~ ( ~ ( in @ SY319 @ ( sK180_SY8 @ SV1 ) )
| ~ ! [SY320: $i] :
( ~ ( in @ SY320 @ ( sK180_SY8 @ SV1 ) )
| ( SY319 = SY320 )
| ( in @ SY319 @ SY320 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1309]) ).
thf(1562,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK181_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK181_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY321: $i] :
~ ~ ( ~ ( in @ SY321 @ ( sK181_SY8 @ SV1 ) )
| ~ ! [SY322: $i] :
( ~ ( in @ SY322 @ ( sK181_SY8 @ SV1 ) )
| ( SY321 = SY322 )
| ( in @ SY321 @ SY322 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1310]) ).
thf(1563,plain,
! [SV1: $i] :
( ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1564,plain,
! [SV1: $i] :
( ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1312]) ).
thf(1565,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK168_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1566,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1567,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK169_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1568,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1569,plain,
! [SV1: $i] :
( ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1570,plain,
! [SV1: $i] :
( ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1316]) ).
thf(1571,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK182_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK182_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY323: $i] :
~ ~ ( ~ ( in @ SY323 @ ( sK182_SY8 @ SV1 ) )
| ~ ! [SY324: $i] :
( ~ ( in @ SY324 @ ( sK182_SY8 @ SV1 ) )
| ( SY323 = SY324 )
| ( in @ SY323 @ SY324 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1317]) ).
thf(1572,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK183_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK183_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY325: $i] :
~ ~ ( ~ ( in @ SY325 @ ( sK183_SY8 @ SV1 ) )
| ~ ! [SY326: $i] :
( ~ ( in @ SY326 @ ( sK183_SY8 @ SV1 ) )
| ( SY325 = SY326 )
| ( in @ SY325 @ SY326 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1318]) ).
thf(1573,plain,
! [SV1: $i] :
( ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1319]) ).
thf(1574,plain,
! [SV1: $i] :
( ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1320]) ).
thf(1575,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK170_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1576,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1577,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK171_SY7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1322]) ).
thf(1578,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1322]) ).
thf(1579,plain,
! [SV1: $i] :
( ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1323]) ).
thf(1580,plain,
! [SV1: $i] :
( ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1324]) ).
thf(1581,plain,
! [SV119: $i,SV1: $i,SV177: $i] :
( ( ( ~ ( in @ SV177 @ SV1 )
| ~ ( in @ SV119 @ SV177 )
| ( in @ SV119 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK118_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1325]) ).
thf(1582,plain,
! [SV1: $i] :
( ( ( ( sK118_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1326]) ).
thf(1583,plain,
! [SV1: $i,SV178: $i] :
( ( ( ~ ~ ( ~ ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
| ~ ! [SY327: $i] :
( ~ ( in @ SY327 @ ( sK118_SY8 @ SV1 ) )
| ( SV178 = SY327 )
| ( in @ SV178 @ SY327 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1327]) ).
thf(1584,plain,
! [SV120: $i,SV1: $i,SV179: $i] :
( ( ( ~ ( in @ SV179 @ SV1 )
| ~ ( in @ SV120 @ SV179 )
| ( in @ SV120 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK119_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1585,plain,
! [SV1: $i] :
( ( ( ( sK119_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1586,plain,
! [SV1: $i,SV180: $i] :
( ( ( ~ ~ ( ~ ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
| ~ ! [SY328: $i] :
( ~ ( in @ SY328 @ ( sK119_SY8 @ SV1 ) )
| ( SV180 = SY328 )
| ( in @ SV180 @ SY328 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1330]) ).
thf(1587,plain,
! [SV1: $i] :
( ( ( in @ ( sK148_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1331]) ).
thf(1588,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK148_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1332]) ).
thf(1589,plain,
! [SV1: $i] :
( ( ( ~ ! [SY205: $i] :
~ ~ ( ~ ( in @ SY205 @ ( sK148_SY8 @ SV1 ) )
| ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ ( sK148_SY8 @ SV1 ) )
| ( SY205 = SY206 )
| ( in @ SY205 @ SY206 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1332]) ).
thf(1590,plain,
! [SV1: $i] :
( ( ( in @ ( sK149_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1333]) ).
thf(1591,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK149_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1334]) ).
thf(1592,plain,
! [SV1: $i] :
( ( ( ~ ! [SY207: $i] :
~ ~ ( ~ ( in @ SY207 @ ( sK149_SY8 @ SV1 ) )
| ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ ( sK149_SY8 @ SV1 ) )
| ( SY207 = SY208 )
| ( in @ SY207 @ SY208 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1334]) ).
thf(1593,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK172_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1594,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK172_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY273: $i] :
~ ~ ( ~ ( in @ SY273 @ ( sK172_SY8 @ SV1 ) )
| ~ ! [SY274: $i] :
( ~ ( in @ SY274 @ ( sK172_SY8 @ SV1 ) )
| ( SY273 = SY274 )
| ( in @ SY273 @ SY274 ) ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1595,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK173_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1596,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK173_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY275: $i] :
~ ~ ( ~ ( in @ SY275 @ ( sK173_SY8 @ SV1 ) )
| ~ ! [SY276: $i] :
( ~ ( in @ SY276 @ ( sK173_SY8 @ SV1 ) )
| ( SY275 = SY276 )
| ( in @ SY275 @ SY276 ) ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1597,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK174_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1598,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK174_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY277: $i] :
~ ~ ( ~ ( in @ SY277 @ ( sK174_SY8 @ SV1 ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK174_SY8 @ SV1 ) )
| ( SY277 = SY278 )
| ( in @ SY277 @ SY278 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1599,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK175_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1338]) ).
thf(1600,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK175_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY279: $i] :
~ ~ ( ~ ( in @ SY279 @ ( sK175_SY8 @ SV1 ) )
| ~ ! [SY280: $i] :
( ~ ( in @ SY280 @ ( sK175_SY8 @ SV1 ) )
| ( SY279 = SY280 )
| ( in @ SY279 @ SY280 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1338]) ).
thf(1601,plain,
! [SV1: $i] :
( ( ( in @ ( sK150_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1339]) ).
thf(1602,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK150_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1603,plain,
! [SV1: $i] :
( ( ( ~ ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ ( sK150_SY8 @ SV1 ) )
| ~ ! [SY210: $i] :
( ~ ( in @ SY210 @ ( sK150_SY8 @ SV1 ) )
| ( SY209 = SY210 )
| ( in @ SY209 @ SY210 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1604,plain,
! [SV1: $i] :
( ( ( in @ ( sK151_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1341]) ).
thf(1605,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK151_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1342]) ).
thf(1606,plain,
! [SV1: $i] :
( ( ( ~ ! [SY211: $i] :
~ ~ ( ~ ( in @ SY211 @ ( sK151_SY8 @ SV1 ) )
| ~ ! [SY212: $i] :
( ~ ( in @ SY212 @ ( sK151_SY8 @ SV1 ) )
| ( SY211 = SY212 )
| ( in @ SY211 @ SY212 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1342]) ).
thf(1607,plain,
! [SV1: $i,SV41: $i,SV25: $i] :
( ( ( ~ ( in @ SV25 @ SV41 ) )
= $true )
| ( ( in @ SV25 @ SV1 )
= $true )
| ( ( in @ SV41 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK40_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1344]) ).
thf(1608,plain,
! [SV18: $i,SV1: $i] :
( ( ( ! [SY93: $i] :
( ~ ( in @ SY93 @ ( sK40_SY8 @ SV1 ) )
| ( SV18 = SY93 )
| ( in @ SV18 @ SY93 ) ) )
= $false )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1609,plain,
! [SV1: $i,SV42: $i,SV26: $i] :
( ( ( ~ ( in @ SV26 @ SV42 ) )
= $true )
| ( ( in @ SV26 @ SV1 )
= $true )
| ( ( in @ SV42 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK41_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1347]) ).
thf(1610,plain,
! [SV20: $i,SV1: $i] :
( ( ( ! [SY94: $i] :
( ~ ( in @ SY94 @ ( sK41_SY8 @ SV1 ) )
| ( SV20 = SY94 )
| ( in @ SV20 @ SY94 ) ) )
= $false )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1611,plain,
! [SV1: $i,SV43: $i,SV27: $i] :
( ( ( ~ ( in @ SV27 @ SV43 ) )
= $true )
| ( ( in @ SV27 @ SV1 )
= $true )
| ( ( in @ SV43 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK60_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1349]) ).
thf(1612,plain,
! [SV77: $i,SV1: $i,SV121: $i] :
( ( ( ~ ( in @ SV121 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV77 @ SV121 )
| ( in @ SV77 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK60_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1350]) ).
thf(1613,plain,
! [SV1: $i,SV44: $i] :
( ( ( ~ ( in @ SV44 @ ( sK60_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ ( sK60_SY8 @ SV1 ) )
| ( SV44 = SY161 )
| ( in @ SV44 @ SY161 ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1351]) ).
thf(1614,plain,
! [SV1: $i,SV45: $i,SV28: $i] :
( ( ( ~ ( in @ SV28 @ SV45 ) )
= $true )
| ( ( in @ SV28 @ SV1 )
= $true )
| ( ( in @ SV45 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK61_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1352]) ).
thf(1615,plain,
! [SV78: $i,SV1: $i,SV122: $i] :
( ( ( ~ ( in @ SV122 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV78 @ SV122 )
| ( in @ SV78 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK61_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1353]) ).
thf(1616,plain,
! [SV1: $i,SV46: $i] :
( ( ( ~ ( in @ SV46 @ ( sK61_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY162: $i] :
( ~ ( in @ SY162 @ ( sK61_SY8 @ SV1 ) )
| ( SV46 = SY162 )
| ( in @ SV46 @ SY162 ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1354]) ).
thf(1617,plain,
! [SV47: $i,SV1: $i,SV79: $i] :
( ( ( in @ SV79 @ SV1 )
= $false )
| ( ( ~ ( in @ SV47 @ SV79 )
| ( in @ SV47 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK84_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1355]) ).
thf(1618,plain,
! [SV123: $i,SV1: $i,SV181: $i] :
( ( ( ~ ( in @ SV181 @ SV1 )
| ~ ( in @ SV123 @ SV181 )
| ( in @ SV123 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK84_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1619,plain,
! [SV1: $i,SV80: $i] :
( ( ( ~ ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
| ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ ( sK84_SY8 @ SV1 ) )
| ( SV80 = SY215 )
| ( in @ SV80 @ SY215 ) ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1620,plain,
! [SV48: $i,SV1: $i,SV81: $i] :
( ( ( in @ SV81 @ SV1 )
= $false )
| ( ( ~ ( in @ SV48 @ SV81 )
| ( in @ SV48 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK85_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1621,plain,
! [SV124: $i,SV1: $i,SV182: $i] :
( ( ( ~ ( in @ SV182 @ SV1 )
| ~ ( in @ SV124 @ SV182 )
| ( in @ SV124 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK85_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1359]) ).
thf(1622,plain,
! [SV1: $i,SV82: $i] :
( ( ( ~ ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
| ~ ! [SY216: $i] :
( ~ ( in @ SY216 @ ( sK85_SY8 @ SV1 ) )
| ( SV82 = SY216 )
| ( in @ SV82 @ SY216 ) ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1360]) ).
thf(1623,plain,
! [SV49: $i,SV1: $i,SV83: $i] :
( ( ( in @ SV83 @ SV1 )
= $false )
| ( ( ~ ( in @ SV49 @ SV83 )
| ( in @ SV49 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK86_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1361]) ).
thf(1624,plain,
! [SV125: $i,SV1: $i,SV183: $i] :
( ( ( ~ ( in @ SV183 @ SV1 )
| ~ ( in @ SV125 @ SV183 )
| ( in @ SV125 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK86_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1625,plain,
! [SV1: $i,SV84: $i] :
( ( ( ~ ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
| ~ ! [SY217: $i] :
( ~ ( in @ SY217 @ ( sK86_SY8 @ SV1 ) )
| ( SV84 = SY217 )
| ( in @ SV84 @ SY217 ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1363]) ).
thf(1626,plain,
! [SV50: $i,SV1: $i,SV85: $i] :
( ( ( in @ SV85 @ SV1 )
= $false )
| ( ( ~ ( in @ SV50 @ SV85 )
| ( in @ SV50 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK87_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1364]) ).
thf(1627,plain,
! [SV126: $i,SV1: $i,SV184: $i] :
( ( ( ~ ( in @ SV184 @ SV1 )
| ~ ( in @ SV126 @ SV184 )
| ( in @ SV126 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK87_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1365]) ).
thf(1628,plain,
! [SV1: $i,SV86: $i] :
( ( ( ~ ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
| ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ ( sK87_SY8 @ SV1 ) )
| ( SV86 = SY218 )
| ( in @ SV86 @ SY218 ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1366]) ).
thf(1629,plain,
! [SV1: $i,SV51: $i,SV29: $i] :
( ( ( ~ ( in @ SV29 @ SV51 ) )
= $true )
| ( ( in @ SV29 @ SV1 )
= $true )
| ( ( in @ SV51 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK62_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1367]) ).
thf(1630,plain,
! [SV87: $i,SV1: $i,SV127: $i] :
( ( ( ~ ( in @ SV127 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV87 @ SV127 )
| ( in @ SV87 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ( sK62_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1368]) ).
thf(1631,plain,
! [SV1: $i,SV52: $i] :
( ( ( ~ ( in @ SV52 @ ( sK62_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY167: $i] :
( ~ ( in @ SY167 @ ( sK62_SY8 @ SV1 ) )
| ( SV52 = SY167 )
| ( in @ SV52 @ SY167 ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1369]) ).
thf(1632,plain,
! [SV1: $i,SV53: $i,SV30: $i] :
( ( ( ~ ( in @ SV30 @ SV53 ) )
= $true )
| ( ( in @ SV30 @ SV1 )
= $true )
| ( ( in @ SV53 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK63_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1370]) ).
thf(1633,plain,
! [SV88: $i,SV1: $i,SV128: $i] :
( ( ( ~ ( in @ SV128 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV88 @ SV128 )
| ( in @ SV88 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ( sK63_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1371]) ).
thf(1634,plain,
! [SV1: $i,SV54: $i] :
( ( ( ~ ( in @ SV54 @ ( sK63_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY168: $i] :
( ~ ( in @ SY168 @ ( sK63_SY8 @ SV1 ) )
| ( SV54 = SY168 )
| ( in @ SV54 @ SY168 ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1372]) ).
thf(1635,plain,
! [SV1: $i,SV55: $i,SV31: $i] :
( ( ( ~ ( in @ SV31 @ SV55 ) )
= $true )
| ( ( in @ SV31 @ SV1 )
= $true )
| ( ( in @ SV55 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK64_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1373]) ).
thf(1636,plain,
! [SV89: $i,SV1: $i,SV129: $i] :
( ( ( ~ ( in @ SV129 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV89 @ SV129 )
| ( in @ SV89 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK64_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1374]) ).
thf(1637,plain,
! [SV1: $i,SV56: $i] :
( ( ( ~ ( in @ SV56 @ ( sK64_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY169: $i] :
( ~ ( in @ SY169 @ ( sK64_SY8 @ SV1 ) )
| ( SV56 = SY169 )
| ( in @ SV56 @ SY169 ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1375]) ).
thf(1638,plain,
! [SV1: $i,SV57: $i,SV32: $i] :
( ( ( ~ ( in @ SV32 @ SV57 ) )
= $true )
| ( ( in @ SV32 @ SV1 )
= $true )
| ( ( in @ SV57 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK65_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1376]) ).
thf(1639,plain,
! [SV90: $i,SV1: $i,SV130: $i] :
( ( ( ~ ( in @ SV130 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV90 @ SV130 )
| ( in @ SV90 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK65_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1377]) ).
thf(1640,plain,
! [SV1: $i,SV58: $i] :
( ( ( ~ ( in @ SV58 @ ( sK65_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY170: $i] :
( ~ ( in @ SY170 @ ( sK65_SY8 @ SV1 ) )
| ( SV58 = SY170 )
| ( in @ SV58 @ SY170 ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1378]) ).
thf(1641,plain,
! [SV91: $i,SV1: $i,SV131: $i] :
( ( ( ~ ( in @ SV131 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV91 @ SV131 )
| ( in @ SV91 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK100_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1379]) ).
thf(1642,plain,
! [SV185: $i,SV1: $i] :
( ( ( ! [SY329: $i] :
( ~ ( in @ SY329 @ SV1 )
| ~ ( in @ SV185 @ SY329 )
| ( in @ SV185 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK100_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1643,plain,
! [SV1: $i,SV132: $i] :
( ( ( ~ ( ~ ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
| ~ ! [SY285: $i] :
( ~ ( in @ SY285 @ ( sK100_SY8 @ SV1 ) )
| ( SV132 = SY285 )
| ( in @ SV132 @ SY285 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1381]) ).
thf(1644,plain,
! [SV92: $i,SV1: $i,SV133: $i] :
( ( ( ~ ( in @ SV133 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV92 @ SV133 )
| ( in @ SV92 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK101_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1382]) ).
thf(1645,plain,
! [SV186: $i,SV1: $i] :
( ( ( ! [SY330: $i] :
( ~ ( in @ SY330 @ SV1 )
| ~ ( in @ SV186 @ SY330 )
| ( in @ SV186 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK101_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1383]) ).
thf(1646,plain,
! [SV1: $i,SV134: $i] :
( ( ( ~ ( ~ ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
| ~ ! [SY286: $i] :
( ~ ( in @ SY286 @ ( sK101_SY8 @ SV1 ) )
| ( SV134 = SY286 )
| ( in @ SV134 @ SY286 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1647,plain,
! [SV135: $i,SV1: $i,SV187: $i] :
( ( ( ~ ( in @ SV187 @ SV1 )
| ~ ( in @ SV135 @ SV187 )
| ( in @ SV135 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK120_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1385]) ).
thf(1648,plain,
! [SV1: $i] :
( ( ( ( sK120_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1649,plain,
! [SV1: $i,SV188: $i] :
( ( ( ~ ~ ( ~ ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
| ~ ! [SY331: $i] :
( ~ ( in @ SY331 @ ( sK120_SY8 @ SV1 ) )
| ( SV188 = SY331 )
| ( in @ SV188 @ SY331 ) ) ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1387]) ).
thf(1650,plain,
! [SV136: $i,SV1: $i,SV189: $i] :
( ( ( ~ ( in @ SV189 @ SV1 )
| ~ ( in @ SV136 @ SV189 )
| ( in @ SV136 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK121_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1651,plain,
! [SV1: $i] :
( ( ( ( sK121_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1652,plain,
! [SV1: $i,SV190: $i] :
( ( ( ~ ~ ( ~ ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
| ~ ! [SY332: $i] :
( ~ ( in @ SY332 @ ( sK121_SY8 @ SV1 ) )
| ( SV190 = SY332 )
| ( in @ SV190 @ SY332 ) ) ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1653,plain,
! [SV137: $i,SV1: $i,SV191: $i] :
( ( ( ~ ( in @ SV191 @ SV1 )
| ~ ( in @ SV137 @ SV191 )
| ( in @ SV137 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK122_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(1654,plain,
! [SV1: $i] :
( ( ( ( sK122_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1655,plain,
! [SV1: $i,SV192: $i] :
( ( ( ~ ~ ( ~ ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
| ~ ! [SY333: $i] :
( ~ ( in @ SY333 @ ( sK122_SY8 @ SV1 ) )
| ( SV192 = SY333 )
| ( in @ SV192 @ SY333 ) ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1393]) ).
thf(1656,plain,
! [SV138: $i,SV1: $i,SV193: $i] :
( ( ( ~ ( in @ SV193 @ SV1 )
| ~ ( in @ SV138 @ SV193 )
| ( in @ SV138 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK123_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1394]) ).
thf(1657,plain,
! [SV1: $i] :
( ( ( ( sK123_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1658,plain,
! [SV1: $i,SV194: $i] :
( ( ( ~ ~ ( ~ ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
| ~ ! [SY334: $i] :
( ~ ( in @ SY334 @ ( sK123_SY8 @ SV1 ) )
| ( SV194 = SY334 )
| ( in @ SV194 @ SY334 ) ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1396]) ).
thf(1659,plain,
! [SV93: $i,SV1: $i,SV139: $i] :
( ( ( ~ ( in @ SV139 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV93 @ SV139 )
| ( in @ SV93 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK102_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1397]) ).
thf(1660,plain,
! [SV195: $i,SV1: $i] :
( ( ( ! [SY335: $i] :
( ~ ( in @ SY335 @ SV1 )
| ~ ( in @ SV195 @ SY335 )
| ( in @ SV195 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ( sK102_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(1661,plain,
! [SV1: $i,SV140: $i] :
( ( ( ~ ( ~ ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
| ~ ! [SY291: $i] :
( ~ ( in @ SY291 @ ( sK102_SY8 @ SV1 ) )
| ( SV140 = SY291 )
| ( in @ SV140 @ SY291 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1662,plain,
! [SV94: $i,SV1: $i,SV141: $i] :
( ( ( ~ ( in @ SV141 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV94 @ SV141 )
| ( in @ SV94 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK103_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1663,plain,
! [SV196: $i,SV1: $i] :
( ( ( ! [SY336: $i] :
( ~ ( in @ SY336 @ SV1 )
| ~ ( in @ SV196 @ SY336 )
| ( in @ SV196 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ( sK103_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1664,plain,
! [SV1: $i,SV142: $i] :
( ( ( ~ ( ~ ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
| ~ ! [SY292: $i] :
( ~ ( in @ SY292 @ ( sK103_SY8 @ SV1 ) )
| ( SV142 = SY292 )
| ( in @ SV142 @ SY292 ) ) ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1665,plain,
! [SV95: $i,SV1: $i,SV143: $i] :
( ( ( ~ ( in @ SV143 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV95 @ SV143 )
| ( in @ SV95 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK104_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1403]) ).
thf(1666,plain,
! [SV197: $i,SV1: $i] :
( ( ( ! [SY337: $i] :
( ~ ( in @ SY337 @ SV1 )
| ~ ( in @ SV197 @ SY337 )
| ( in @ SV197 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK104_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(1667,plain,
! [SV1: $i,SV144: $i] :
( ( ( ~ ( ~ ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
| ~ ! [SY293: $i] :
( ~ ( in @ SY293 @ ( sK104_SY8 @ SV1 ) )
| ( SV144 = SY293 )
| ( in @ SV144 @ SY293 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1668,plain,
! [SV96: $i,SV1: $i,SV145: $i] :
( ( ( ~ ( in @ SV145 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV96 @ SV145 )
| ( in @ SV96 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK105_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1669,plain,
! [SV198: $i,SV1: $i] :
( ( ( ! [SY338: $i] :
( ~ ( in @ SY338 @ SV1 )
| ~ ( in @ SV198 @ SY338 )
| ( in @ SV198 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK105_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(1670,plain,
! [SV1: $i,SV146: $i] :
( ( ( ~ ( ~ ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
| ~ ! [SY294: $i] :
( ~ ( in @ SY294 @ ( sK105_SY8 @ SV1 ) )
| ( SV146 = SY294 )
| ( in @ SV146 @ SY294 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1671,plain,
! [SV199: $i,SV1: $i] :
( ( ( ! [SY339: $i] :
( ~ ( in @ SY339 @ SV1 )
| ~ ( in @ SV199 @ SY339 )
| ( in @ SV199 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK128_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(1672,plain,
! [SV1: $i] :
( ( ( ( ( sK128_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1410]) ).
thf(1673,plain,
! [SV1: $i] :
( ( ( ! [SY171: $i] :
~ ~ ( ~ ( in @ SY171 @ ( sK128_SY8 @ SV1 ) )
| ~ ! [SY172: $i] :
( ~ ( in @ SY172 @ ( sK128_SY8 @ SV1 ) )
| ( SY171 = SY172 )
| ( in @ SY171 @ SY172 ) ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1411]) ).
thf(1674,plain,
! [SV200: $i,SV1: $i] :
( ( ( ! [SY340: $i] :
( ~ ( in @ SY340 @ SV1 )
| ~ ( in @ SV200 @ SY340 )
| ( in @ SV200 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK129_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1675,plain,
! [SV1: $i] :
( ( ( ( ( sK129_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1413]) ).
thf(1676,plain,
! [SV1: $i] :
( ( ( ! [SY173: $i] :
~ ~ ( ~ ( in @ SY173 @ ( sK129_SY8 @ SV1 ) )
| ~ ! [SY174: $i] :
( ~ ( in @ SY174 @ ( sK129_SY8 @ SV1 ) )
| ( SY173 = SY174 )
| ( in @ SY173 @ SY174 ) ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1414]) ).
thf(1677,plain,
! [SV1: $i] :
( ( ( in @ ( sK152_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1415]) ).
thf(1678,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK152_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1416]) ).
thf(1679,plain,
! [SV1: $i] :
( ( ( ~ ! [SY229: $i] :
~ ~ ( ~ ( in @ SY229 @ ( sK152_SY8 @ SV1 ) )
| ~ ! [SY230: $i] :
( ~ ( in @ SY230 @ ( sK152_SY8 @ SV1 ) )
| ( SY229 = SY230 )
| ( in @ SY229 @ SY230 ) ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1416]) ).
thf(1680,plain,
! [SV1: $i] :
( ( ( in @ ( sK153_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1417]) ).
thf(1681,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK153_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1418]) ).
thf(1682,plain,
! [SV1: $i] :
( ( ( ~ ! [SY231: $i] :
~ ~ ( ~ ( in @ SY231 @ ( sK153_SY8 @ SV1 ) )
| ~ ! [SY232: $i] :
( ~ ( in @ SY232 @ ( sK153_SY8 @ SV1 ) )
| ( SY231 = SY232 )
| ( in @ SY231 @ SY232 ) ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1418]) ).
thf(1683,plain,
! [SV1: $i] :
( ( ( in @ ( sK154_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1419]) ).
thf(1684,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK154_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1420]) ).
thf(1685,plain,
! [SV1: $i] :
( ( ( ~ ! [SY233: $i] :
~ ~ ( ~ ( in @ SY233 @ ( sK154_SY8 @ SV1 ) )
| ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ ( sK154_SY8 @ SV1 ) )
| ( SY233 = SY234 )
| ( in @ SY233 @ SY234 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1420]) ).
thf(1686,plain,
! [SV1: $i] :
( ( ( in @ ( sK155_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1421]) ).
thf(1687,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK155_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1422]) ).
thf(1688,plain,
! [SV1: $i] :
( ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ( in @ SY235 @ ( sK155_SY8 @ SV1 ) )
| ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ ( sK155_SY8 @ SV1 ) )
| ( SY235 = SY236 )
| ( in @ SY235 @ SY236 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1422]) ).
thf(1689,plain,
! [SV201: $i,SV1: $i] :
( ( ( ! [SY341: $i] :
( ~ ( in @ SY341 @ SV1 )
| ~ ( in @ SV201 @ SY341 )
| ( in @ SV201 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK130_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1423]) ).
thf(1690,plain,
! [SV1: $i] :
( ( ( ( ( sK130_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1691,plain,
! [SV1: $i] :
( ( ( ! [SY175: $i] :
~ ~ ( ~ ( in @ SY175 @ ( sK130_SY8 @ SV1 ) )
| ~ ! [SY176: $i] :
( ~ ( in @ SY176 @ ( sK130_SY8 @ SV1 ) )
| ( SY175 = SY176 )
| ( in @ SY175 @ SY176 ) ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1692,plain,
! [SV202: $i,SV1: $i] :
( ( ( ! [SY342: $i] :
( ~ ( in @ SY342 @ SV1 )
| ~ ( in @ SV202 @ SY342 )
| ( in @ SV202 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK131_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1426]) ).
thf(1693,plain,
! [SV1: $i] :
( ( ( ( ( sK131_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1427]) ).
thf(1694,plain,
! [SV1: $i] :
( ( ( ! [SY177: $i] :
~ ~ ( ~ ( in @ SY177 @ ( sK131_SY8 @ SV1 ) )
| ~ ! [SY178: $i] :
( ~ ( in @ SY178 @ ( sK131_SY8 @ SV1 ) )
| ( SY177 = SY178 )
| ( in @ SY177 @ SY178 ) ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1695,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK176_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1429]) ).
thf(1696,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK176_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY295: $i] :
~ ~ ( ~ ( in @ SY295 @ ( sK176_SY8 @ SV1 ) )
| ~ ! [SY296: $i] :
( ~ ( in @ SY296 @ ( sK176_SY8 @ SV1 ) )
| ( SY295 = SY296 )
| ( in @ SY295 @ SY296 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1429]) ).
thf(1697,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK177_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1430]) ).
thf(1698,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK177_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY297: $i] :
~ ~ ( ~ ( in @ SY297 @ ( sK177_SY8 @ SV1 ) )
| ~ ! [SY298: $i] :
( ~ ( in @ SY298 @ ( sK177_SY8 @ SV1 ) )
| ( SY297 = SY298 )
| ( in @ SY297 @ SY298 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1430]) ).
thf(1699,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1700,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1701,plain,
! [SV1: $i] :
( ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1702,plain,
! [SV1: $i] :
( ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1703,plain,
! [SV1: $i] :
( ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1435]) ).
thf(1704,plain,
! [SV1: $i] :
( ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1436]) ).
thf(1705,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1706,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1707,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK178_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1708,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK178_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY299: $i] :
~ ~ ( ~ ( in @ SY299 @ ( sK178_SY8 @ SV1 ) )
| ~ ! [SY300: $i] :
( ~ ( in @ SY300 @ ( sK178_SY8 @ SV1 ) )
| ( SY299 = SY300 )
| ( in @ SY299 @ SY300 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1709,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK179_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1710,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK179_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY301: $i] :
~ ~ ( ~ ( in @ SY301 @ ( sK179_SY8 @ SV1 ) )
| ~ ! [SY302: $i] :
( ~ ( in @ SY302 @ ( sK179_SY8 @ SV1 ) )
| ( SY301 = SY302 )
| ( in @ SY301 @ SY302 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1711,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1712,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1713,plain,
! [SV1: $i] :
( ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1443]) ).
thf(1714,plain,
! [SV1: $i] :
( ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1444]) ).
thf(1715,plain,
! [SV1: $i] :
( ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1445]) ).
thf(1716,plain,
! [SV1: $i] :
( ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1717,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1718,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1719,plain,
! [SV97: $i,SV1: $i,SV147: $i] :
( ( ( ~ ( in @ SV147 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV97 @ SV147 )
| ( in @ SV97 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK108_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1449]) ).
thf(1720,plain,
! [SV203: $i,SV1: $i] :
( ( ( ! [SY343: $i] :
( ~ ( in @ SY343 @ SV1 )
| ~ ( in @ SV203 @ SY343 )
| ( in @ SV203 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK108_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1450]) ).
thf(1721,plain,
! [SV1: $i,SV148: $i] :
( ( ( ~ ( ~ ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
| ~ ! [SY303: $i] :
( ~ ( in @ SY303 @ ( sK108_SY8 @ SV1 ) )
| ( SV148 = SY303 )
| ( in @ SV148 @ SY303 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1451]) ).
thf(1722,plain,
! [SV98: $i,SV1: $i,SV149: $i] :
( ( ( ~ ( in @ SV149 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV98 @ SV149 )
| ( in @ SV98 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK109_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1452]) ).
thf(1723,plain,
! [SV204: $i,SV1: $i] :
( ( ( ! [SY344: $i] :
( ~ ( in @ SY344 @ SV1 )
| ~ ( in @ SV204 @ SY344 )
| ( in @ SV204 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK109_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1453]) ).
thf(1724,plain,
! [SV1: $i,SV150: $i] :
( ( ( ~ ( ~ ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
| ~ ! [SY304: $i] :
( ~ ( in @ SY304 @ ( sK109_SY8 @ SV1 ) )
| ( SV150 = SY304 )
| ( in @ SV150 @ SY304 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1725,plain,
! [SV205: $i,SV1: $i] :
( ( ( ! [SY345: $i] :
( ~ ( in @ SY345 @ SV1 )
| ~ ( in @ SV205 @ SY345 )
| ( in @ SV205 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK136_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1455]) ).
thf(1726,plain,
! [SV1: $i] :
( ( ( ( ( sK136_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1456]) ).
thf(1727,plain,
! [SV1: $i] :
( ( ( ! [SY179: $i] :
~ ~ ( ~ ( in @ SY179 @ ( sK136_SY8 @ SV1 ) )
| ~ ! [SY180: $i] :
( ~ ( in @ SY180 @ ( sK136_SY8 @ SV1 ) )
| ( SY179 = SY180 )
| ( in @ SY179 @ SY180 ) ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1728,plain,
! [SV206: $i,SV1: $i] :
( ( ( ! [SY346: $i] :
( ~ ( in @ SY346 @ SV1 )
| ~ ( in @ SV206 @ SY346 )
| ( in @ SV206 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK137_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1458]) ).
thf(1729,plain,
! [SV1: $i] :
( ( ( ( ( sK137_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1459]) ).
thf(1730,plain,
! [SV1: $i] :
( ( ( ! [SY181: $i] :
~ ~ ( ~ ( in @ SY181 @ ( sK137_SY8 @ SV1 ) )
| ~ ! [SY182: $i] :
( ~ ( in @ SY182 @ ( sK137_SY8 @ SV1 ) )
| ( SY181 = SY182 )
| ( in @ SY181 @ SY182 ) ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1460]) ).
thf(1731,plain,
! [SV1: $i] :
( ( ( in @ ( sK160_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1732,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK160_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1733,plain,
! [SV1: $i] :
( ( ( ~ ! [SY239: $i] :
~ ~ ( ~ ( in @ SY239 @ ( sK160_SY8 @ SV1 ) )
| ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ ( sK160_SY8 @ SV1 ) )
| ( SY239 = SY240 )
| ( in @ SY239 @ SY240 ) ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1734,plain,
! [SV1: $i] :
( ( ( in @ ( sK161_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1735,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK161_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1464]) ).
thf(1736,plain,
! [SV1: $i] :
( ( ( ~ ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ ( sK161_SY8 @ SV1 ) )
| ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ ( sK161_SY8 @ SV1 ) )
| ( SY241 = SY242 )
| ( in @ SY241 @ SY242 ) ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1464]) ).
thf(1737,plain,
! [SV1: $i] :
( ( ( in @ ( sK162_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1465]) ).
thf(1738,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK162_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1739,plain,
! [SV1: $i] :
( ( ( ~ ! [SY243: $i] :
~ ~ ( ~ ( in @ SY243 @ ( sK162_SY8 @ SV1 ) )
| ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ ( sK162_SY8 @ SV1 ) )
| ( SY243 = SY244 )
| ( in @ SY243 @ SY244 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1740,plain,
! [SV1: $i] :
( ( ( in @ ( sK163_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1741,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK163_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1468]) ).
thf(1742,plain,
! [SV1: $i] :
( ( ( ~ ! [SY245: $i] :
~ ~ ( ~ ( in @ SY245 @ ( sK163_SY8 @ SV1 ) )
| ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ ( sK163_SY8 @ SV1 ) )
| ( SY245 = SY246 )
| ( in @ SY245 @ SY246 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1468]) ).
thf(1743,plain,
! [SV207: $i,SV1: $i] :
( ( ( ! [SY347: $i] :
( ~ ( in @ SY347 @ SV1 )
| ~ ( in @ SV207 @ SY347 )
| ( in @ SV207 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK138_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1469]) ).
thf(1744,plain,
! [SV1: $i] :
( ( ( ( ( sK138_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1745,plain,
! [SV1: $i] :
( ( ( ! [SY183: $i] :
~ ~ ( ~ ( in @ SY183 @ ( sK138_SY8 @ SV1 ) )
| ~ ! [SY184: $i] :
( ~ ( in @ SY184 @ ( sK138_SY8 @ SV1 ) )
| ( SY183 = SY184 )
| ( in @ SY183 @ SY184 ) ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1471]) ).
thf(1746,plain,
! [SV208: $i,SV1: $i] :
( ( ( ! [SY348: $i] :
( ~ ( in @ SY348 @ SV1 )
| ~ ( in @ SV208 @ SY348 )
| ( in @ SV208 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK139_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(1747,plain,
! [SV1: $i] :
( ( ( ( ( sK139_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1748,plain,
! [SV1: $i] :
( ( ( ! [SY185: $i] :
~ ~ ( ~ ( in @ SY185 @ ( sK139_SY8 @ SV1 ) )
| ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ ( sK139_SY8 @ SV1 ) )
| ( SY185 = SY186 )
| ( in @ SY185 @ SY186 ) ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1474]) ).
thf(1749,plain,
! [SV1: $i,SV59: $i,SV33: $i] :
( ( ( ~ ( in @ SV33 @ SV59 ) )
= $true )
| ( ( in @ SV33 @ SV1 )
= $true )
| ( ( in @ SV59 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK48_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1476]) ).
thf(1750,plain,
! [SV22: $i,SV1: $i] :
( ( ( ! [SY111: $i] :
( ~ ( in @ SY111 @ ( sK48_SY8 @ SV1 ) )
| ( SV22 = SY111 )
| ( in @ SV22 @ SY111 ) ) )
= $false )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1751,plain,
! [SV1: $i,SV60: $i,SV34: $i] :
( ( ( ~ ( in @ SV34 @ SV60 ) )
= $true )
| ( ( in @ SV34 @ SV1 )
= $true )
| ( ( in @ SV60 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK49_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1479]) ).
thf(1752,plain,
! [SV24: $i,SV1: $i] :
( ( ( ! [SY112: $i] :
( ~ ( in @ SY112 @ ( sK49_SY8 @ SV1 ) )
| ( SV24 = SY112 )
| ( in @ SV24 @ SY112 ) ) )
= $false )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1753,plain,
! [SV1: $i,SV61: $i,SV35: $i] :
( ( ( ~ ( in @ SV35 @ SV61 ) )
= $true )
| ( ( in @ SV35 @ SV1 )
= $true )
| ( ( in @ SV61 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK72_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1481]) ).
thf(1754,plain,
! [SV99: $i,SV1: $i,SV151: $i] :
( ( ( ~ ( in @ SV151 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV99 @ SV151 )
| ( in @ SV99 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK72_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1482]) ).
thf(1755,plain,
! [SV1: $i,SV62: $i] :
( ( ( ~ ( in @ SV62 @ ( sK72_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ ( sK72_SY8 @ SV1 ) )
| ( SV62 = SY187 )
| ( in @ SV62 @ SY187 ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1483]) ).
thf(1756,plain,
! [SV1: $i,SV63: $i,SV36: $i] :
( ( ( ~ ( in @ SV36 @ SV63 ) )
= $true )
| ( ( in @ SV36 @ SV1 )
= $true )
| ( ( in @ SV63 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK73_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1484]) ).
thf(1757,plain,
! [SV100: $i,SV1: $i,SV152: $i] :
( ( ( ~ ( in @ SV152 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV100 @ SV152 )
| ( in @ SV100 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK73_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1485]) ).
thf(1758,plain,
! [SV1: $i,SV64: $i] :
( ( ( ~ ( in @ SV64 @ ( sK73_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ ( sK73_SY8 @ SV1 ) )
| ( SV64 = SY188 )
| ( in @ SV64 @ SY188 ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1486]) ).
thf(1759,plain,
! [SV65: $i,SV1: $i,SV101: $i] :
( ( ( in @ SV101 @ SV1 )
= $false )
| ( ( ~ ( in @ SV65 @ SV101 )
| ( in @ SV65 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK92_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1760,plain,
! [SV153: $i,SV1: $i,SV209: $i] :
( ( ( ~ ( in @ SV209 @ SV1 )
| ~ ( in @ SV153 @ SV209 )
| ( in @ SV153 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK92_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1488]) ).
thf(1761,plain,
! [SV1: $i,SV102: $i] :
( ( ( ~ ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
| ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ ( sK92_SY8 @ SV1 ) )
| ( SV102 = SY249 )
| ( in @ SV102 @ SY249 ) ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1489]) ).
thf(1762,plain,
! [SV66: $i,SV1: $i,SV103: $i] :
( ( ( in @ SV103 @ SV1 )
= $false )
| ( ( ~ ( in @ SV66 @ SV103 )
| ( in @ SV66 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK93_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1763,plain,
! [SV154: $i,SV1: $i,SV210: $i] :
( ( ( ~ ( in @ SV210 @ SV1 )
| ~ ( in @ SV154 @ SV210 )
| ( in @ SV154 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK93_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1764,plain,
! [SV1: $i,SV104: $i] :
( ( ( ~ ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
| ~ ! [SY250: $i] :
( ~ ( in @ SY250 @ ( sK93_SY8 @ SV1 ) )
| ( SV104 = SY250 )
| ( in @ SV104 @ SY250 ) ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1492]) ).
thf(1765,plain,
! [SV67: $i,SV1: $i,SV105: $i] :
( ( ( in @ SV105 @ SV1 )
= $false )
| ( ( ~ ( in @ SV67 @ SV105 )
| ( in @ SV67 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK94_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1766,plain,
! [SV155: $i,SV1: $i,SV211: $i] :
( ( ( ~ ( in @ SV211 @ SV1 )
| ~ ( in @ SV155 @ SV211 )
| ( in @ SV155 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK94_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(1767,plain,
! [SV1: $i,SV106: $i] :
( ( ( ~ ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
| ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ ( sK94_SY8 @ SV1 ) )
| ( SV106 = SY251 )
| ( in @ SV106 @ SY251 ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1495]) ).
thf(1768,plain,
! [SV68: $i,SV1: $i,SV107: $i] :
( ( ( in @ SV107 @ SV1 )
= $false )
| ( ( ~ ( in @ SV68 @ SV107 )
| ( in @ SV68 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK95_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1769,plain,
! [SV156: $i,SV1: $i,SV212: $i] :
( ( ( ~ ( in @ SV212 @ SV1 )
| ~ ( in @ SV156 @ SV212 )
| ( in @ SV156 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK95_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1497]) ).
thf(1770,plain,
! [SV1: $i,SV108: $i] :
( ( ( ~ ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
| ~ ! [SY252: $i] :
( ~ ( in @ SY252 @ ( sK95_SY8 @ SV1 ) )
| ( SV108 = SY252 )
| ( in @ SV108 @ SY252 ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1498]) ).
thf(1771,plain,
! [SV1: $i,SV69: $i,SV37: $i] :
( ( ( ~ ( in @ SV37 @ SV69 ) )
= $true )
| ( ( in @ SV37 @ SV1 )
= $true )
| ( ( in @ SV69 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK74_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1499]) ).
thf(1772,plain,
! [SV109: $i,SV1: $i,SV157: $i] :
( ( ( ~ ( in @ SV157 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV109 @ SV157 )
| ( in @ SV109 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ( sK74_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1500]) ).
thf(1773,plain,
! [SV1: $i,SV70: $i] :
( ( ( ~ ( in @ SV70 @ ( sK74_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ ( sK74_SY8 @ SV1 ) )
| ( SV70 = SY193 )
| ( in @ SV70 @ SY193 ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1501]) ).
thf(1774,plain,
! [SV1: $i,SV71: $i,SV38: $i] :
( ( ( ~ ( in @ SV38 @ SV71 ) )
= $true )
| ( ( in @ SV38 @ SV1 )
= $true )
| ( ( in @ SV71 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK75_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1502]) ).
thf(1775,plain,
! [SV110: $i,SV1: $i,SV158: $i] :
( ( ( ~ ( in @ SV158 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV110 @ SV158 )
| ( in @ SV110 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ( sK75_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1503]) ).
thf(1776,plain,
! [SV1: $i,SV72: $i] :
( ( ( ~ ( in @ SV72 @ ( sK75_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ ( sK75_SY8 @ SV1 ) )
| ( SV72 = SY194 )
| ( in @ SV72 @ SY194 ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1504]) ).
thf(1777,plain,
! [SV1: $i,SV73: $i,SV39: $i] :
( ( ( ~ ( in @ SV39 @ SV73 ) )
= $true )
| ( ( in @ SV39 @ SV1 )
= $true )
| ( ( in @ SV73 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK76_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1778,plain,
! [SV111: $i,SV1: $i,SV159: $i] :
( ( ( ~ ( in @ SV159 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV111 @ SV159 )
| ( in @ SV111 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK76_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1506]) ).
thf(1779,plain,
! [SV1: $i,SV74: $i] :
( ( ( ~ ( in @ SV74 @ ( sK76_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ ( sK76_SY8 @ SV1 ) )
| ( SV74 = SY195 )
| ( in @ SV74 @ SY195 ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1507]) ).
thf(1780,plain,
! [SV1: $i,SV75: $i,SV40: $i] :
( ( ( ~ ( in @ SV40 @ SV75 ) )
= $true )
| ( ( in @ SV40 @ SV1 )
= $true )
| ( ( in @ SV75 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK77_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1508]) ).
thf(1781,plain,
! [SV112: $i,SV1: $i,SV160: $i] :
( ( ( ~ ( in @ SV160 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV112 @ SV160 )
| ( in @ SV112 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK77_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1509]) ).
thf(1782,plain,
! [SV1: $i,SV76: $i] :
( ( ( ~ ( in @ SV76 @ ( sK77_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY196: $i] :
( ~ ( in @ SY196 @ ( sK77_SY8 @ SV1 ) )
| ( SV76 = SY196 )
| ( in @ SV76 @ SY196 ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1510]) ).
thf(1783,plain,
! [SV113: $i,SV1: $i,SV161: $i] :
( ( ( ~ ( in @ SV161 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV113 @ SV161 )
| ( in @ SV113 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK110_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1511]) ).
thf(1784,plain,
! [SV213: $i,SV1: $i] :
( ( ( ! [SY349: $i] :
( ~ ( in @ SY349 @ SV1 )
| ~ ( in @ SV213 @ SY349 )
| ( in @ SV213 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK110_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1512]) ).
thf(1785,plain,
! [SV1: $i,SV162: $i] :
( ( ( ~ ( ~ ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
| ~ ! [SY309: $i] :
( ~ ( in @ SY309 @ ( sK110_SY8 @ SV1 ) )
| ( SV162 = SY309 )
| ( in @ SV162 @ SY309 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1786,plain,
! [SV114: $i,SV1: $i,SV163: $i] :
( ( ( ~ ( in @ SV163 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV114 @ SV163 )
| ( in @ SV114 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK111_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1514]) ).
thf(1787,plain,
! [SV214: $i,SV1: $i] :
( ( ( ! [SY350: $i] :
( ~ ( in @ SY350 @ SV1 )
| ~ ( in @ SV214 @ SY350 )
| ( in @ SV214 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK111_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1515]) ).
thf(1788,plain,
! [SV1: $i,SV164: $i] :
( ( ( ~ ( ~ ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
| ~ ! [SY310: $i] :
( ~ ( in @ SY310 @ ( sK111_SY8 @ SV1 ) )
| ( SV164 = SY310 )
| ( in @ SV164 @ SY310 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1789,plain,
! [SV165: $i,SV1: $i,SV215: $i] :
( ( ( ~ ( in @ SV215 @ SV1 )
| ~ ( in @ SV165 @ SV215 )
| ( in @ SV165 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK124_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1517]) ).
thf(1790,plain,
! [SV1: $i] :
( ( ( ( sK124_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1791,plain,
! [SV1: $i,SV216: $i] :
( ( ( ~ ~ ( ~ ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
| ~ ! [SY351: $i] :
( ~ ( in @ SY351 @ ( sK124_SY8 @ SV1 ) )
| ( SV216 = SY351 )
| ( in @ SV216 @ SY351 ) ) ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1519]) ).
thf(1792,plain,
! [SV166: $i,SV1: $i,SV217: $i] :
( ( ( ~ ( in @ SV217 @ SV1 )
| ~ ( in @ SV166 @ SV217 )
| ( in @ SV166 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK125_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(1793,plain,
! [SV1: $i] :
( ( ( ( sK125_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1794,plain,
! [SV1: $i,SV218: $i] :
( ( ( ~ ~ ( ~ ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
| ~ ! [SY352: $i] :
( ~ ( in @ SY352 @ ( sK125_SY8 @ SV1 ) )
| ( SV218 = SY352 )
| ( in @ SV218 @ SY352 ) ) ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1522]) ).
thf(1795,plain,
! [SV167: $i,SV1: $i,SV219: $i] :
( ( ( ~ ( in @ SV219 @ SV1 )
| ~ ( in @ SV167 @ SV219 )
| ( in @ SV167 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK126_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1796,plain,
! [SV1: $i] :
( ( ( ( sK126_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1797,plain,
! [SV1: $i,SV220: $i] :
( ( ( ~ ~ ( ~ ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
| ~ ! [SY353: $i] :
( ~ ( in @ SY353 @ ( sK126_SY8 @ SV1 ) )
| ( SV220 = SY353 )
| ( in @ SV220 @ SY353 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1525]) ).
thf(1798,plain,
! [SV168: $i,SV1: $i,SV221: $i] :
( ( ( ~ ( in @ SV221 @ SV1 )
| ~ ( in @ SV168 @ SV221 )
| ( in @ SV168 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK127_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1799,plain,
! [SV1: $i] :
( ( ( ( sK127_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1800,plain,
! [SV1: $i,SV222: $i] :
( ( ( ~ ~ ( ~ ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
| ~ ! [SY354: $i] :
( ~ ( in @ SY354 @ ( sK127_SY8 @ SV1 ) )
| ( SV222 = SY354 )
| ( in @ SV222 @ SY354 ) ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1528]) ).
thf(1801,plain,
! [SV115: $i,SV1: $i,SV169: $i] :
( ( ( ~ ( in @ SV169 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV115 @ SV169 )
| ( in @ SV115 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK112_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1529]) ).
thf(1802,plain,
! [SV223: $i,SV1: $i] :
( ( ( ! [SY355: $i] :
( ~ ( in @ SY355 @ SV1 )
| ~ ( in @ SV223 @ SY355 )
| ( in @ SV223 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ( sK112_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1530]) ).
thf(1803,plain,
! [SV1: $i,SV170: $i] :
( ( ( ~ ( ~ ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
| ~ ! [SY315: $i] :
( ~ ( in @ SY315 @ ( sK112_SY8 @ SV1 ) )
| ( SV170 = SY315 )
| ( in @ SV170 @ SY315 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1804,plain,
! [SV116: $i,SV1: $i,SV171: $i] :
( ( ( ~ ( in @ SV171 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV116 @ SV171 )
| ( in @ SV116 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK113_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1532]) ).
thf(1805,plain,
! [SV224: $i,SV1: $i] :
( ( ( ! [SY356: $i] :
( ~ ( in @ SY356 @ SV1 )
| ~ ( in @ SV224 @ SY356 )
| ( in @ SV224 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ( sK113_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1533]) ).
thf(1806,plain,
! [SV1: $i,SV172: $i] :
( ( ( ~ ( ~ ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
| ~ ! [SY316: $i] :
( ~ ( in @ SY316 @ ( sK113_SY8 @ SV1 ) )
| ( SV172 = SY316 )
| ( in @ SV172 @ SY316 ) ) ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1807,plain,
! [SV117: $i,SV1: $i,SV173: $i] :
( ( ( ~ ( in @ SV173 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV117 @ SV173 )
| ( in @ SV117 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK114_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1535]) ).
thf(1808,plain,
! [SV225: $i,SV1: $i] :
( ( ( ! [SY357: $i] :
( ~ ( in @ SY357 @ SV1 )
| ~ ( in @ SV225 @ SY357 )
| ( in @ SV225 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK114_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(1809,plain,
! [SV1: $i,SV174: $i] :
( ( ( ~ ( ~ ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
| ~ ! [SY317: $i] :
( ~ ( in @ SY317 @ ( sK114_SY8 @ SV1 ) )
| ( SV174 = SY317 )
| ( in @ SV174 @ SY317 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1810,plain,
! [SV118: $i,SV1: $i,SV175: $i] :
( ( ( ~ ( in @ SV175 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV118 @ SV175 )
| ( in @ SV118 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK115_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1538]) ).
thf(1811,plain,
! [SV226: $i,SV1: $i] :
( ( ( ! [SY358: $i] :
( ~ ( in @ SY358 @ SV1 )
| ~ ( in @ SV226 @ SY358 )
| ( in @ SV226 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK115_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1539]) ).
thf(1812,plain,
! [SV1: $i,SV176: $i] :
( ( ( ~ ( ~ ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
| ~ ! [SY318: $i] :
( ~ ( in @ SY318 @ ( sK115_SY8 @ SV1 ) )
| ( SV176 = SY318 )
| ( in @ SV176 @ SY318 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1813,plain,
! [SV227: $i,SV1: $i] :
( ( ( ! [SY359: $i] :
( ~ ( in @ SY359 @ SV1 )
| ~ ( in @ SV227 @ SY359 )
| ( in @ SV227 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK140_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1541]) ).
thf(1814,plain,
! [SV1: $i] :
( ( ( ( ( sK140_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1815,plain,
! [SV1: $i] :
( ( ( ! [SY197: $i] :
~ ~ ( ~ ( in @ SY197 @ ( sK140_SY8 @ SV1 ) )
| ~ ! [SY198: $i] :
( ~ ( in @ SY198 @ ( sK140_SY8 @ SV1 ) )
| ( SY197 = SY198 )
| ( in @ SY197 @ SY198 ) ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1543]) ).
thf(1816,plain,
! [SV228: $i,SV1: $i] :
( ( ( ! [SY360: $i] :
( ~ ( in @ SY360 @ SV1 )
| ~ ( in @ SV228 @ SY360 )
| ( in @ SV228 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK141_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1544]) ).
thf(1817,plain,
! [SV1: $i] :
( ( ( ( ( sK141_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1545]) ).
thf(1818,plain,
! [SV1: $i] :
( ( ( ! [SY199: $i] :
~ ~ ( ~ ( in @ SY199 @ ( sK141_SY8 @ SV1 ) )
| ~ ! [SY200: $i] :
( ~ ( in @ SY200 @ ( sK141_SY8 @ SV1 ) )
| ( SY199 = SY200 )
| ( in @ SY199 @ SY200 ) ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1546]) ).
thf(1819,plain,
! [SV1: $i] :
( ( ( in @ ( sK164_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1547]) ).
thf(1820,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK164_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1548]) ).
thf(1821,plain,
! [SV1: $i] :
( ( ( ~ ! [SY263: $i] :
~ ~ ( ~ ( in @ SY263 @ ( sK164_SY8 @ SV1 ) )
| ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ ( sK164_SY8 @ SV1 ) )
| ( SY263 = SY264 )
| ( in @ SY263 @ SY264 ) ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1548]) ).
thf(1822,plain,
! [SV1: $i] :
( ( ( in @ ( sK165_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1823,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK165_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1550]) ).
thf(1824,plain,
! [SV1: $i] :
( ( ( ~ ! [SY265: $i] :
~ ~ ( ~ ( in @ SY265 @ ( sK165_SY8 @ SV1 ) )
| ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ ( sK165_SY8 @ SV1 ) )
| ( SY265 = SY266 )
| ( in @ SY265 @ SY266 ) ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1550]) ).
thf(1825,plain,
! [SV1: $i] :
( ( ( in @ ( sK166_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1551]) ).
thf(1826,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK166_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1552]) ).
thf(1827,plain,
! [SV1: $i] :
( ( ( ~ ! [SY267: $i] :
~ ~ ( ~ ( in @ SY267 @ ( sK166_SY8 @ SV1 ) )
| ~ ! [SY268: $i] :
( ~ ( in @ SY268 @ ( sK166_SY8 @ SV1 ) )
| ( SY267 = SY268 )
| ( in @ SY267 @ SY268 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1552]) ).
thf(1828,plain,
! [SV1: $i] :
( ( ( in @ ( sK167_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1553]) ).
thf(1829,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK167_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1554]) ).
thf(1830,plain,
! [SV1: $i] :
( ( ( ~ ! [SY269: $i] :
~ ~ ( ~ ( in @ SY269 @ ( sK167_SY8 @ SV1 ) )
| ~ ! [SY270: $i] :
( ~ ( in @ SY270 @ ( sK167_SY8 @ SV1 ) )
| ( SY269 = SY270 )
| ( in @ SY269 @ SY270 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1554]) ).
thf(1831,plain,
! [SV229: $i,SV1: $i] :
( ( ( ! [SY361: $i] :
( ~ ( in @ SY361 @ SV1 )
| ~ ( in @ SV229 @ SY361 )
| ( in @ SV229 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK142_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1555]) ).
thf(1832,plain,
! [SV1: $i] :
( ( ( ( ( sK142_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1833,plain,
! [SV1: $i] :
( ( ( ! [SY201: $i] :
~ ~ ( ~ ( in @ SY201 @ ( sK142_SY8 @ SV1 ) )
| ~ ! [SY202: $i] :
( ~ ( in @ SY202 @ ( sK142_SY8 @ SV1 ) )
| ( SY201 = SY202 )
| ( in @ SY201 @ SY202 ) ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1834,plain,
! [SV230: $i,SV1: $i] :
( ( ( ! [SY362: $i] :
( ~ ( in @ SY362 @ SV1 )
| ~ ( in @ SV230 @ SY362 )
| ( in @ SV230 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK143_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1558]) ).
thf(1835,plain,
! [SV1: $i] :
( ( ( ( ( sK143_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1559]) ).
thf(1836,plain,
! [SV1: $i] :
( ( ( ! [SY203: $i] :
~ ~ ( ~ ( in @ SY203 @ ( sK143_SY8 @ SV1 ) )
| ~ ! [SY204: $i] :
( ~ ( in @ SY204 @ ( sK143_SY8 @ SV1 ) )
| ( SY203 = SY204 )
| ( in @ SY203 @ SY204 ) ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1560]) ).
thf(1837,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK180_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1561]) ).
thf(1838,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK180_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY319: $i] :
~ ~ ( ~ ( in @ SY319 @ ( sK180_SY8 @ SV1 ) )
| ~ ! [SY320: $i] :
( ~ ( in @ SY320 @ ( sK180_SY8 @ SV1 ) )
| ( SY319 = SY320 )
| ( in @ SY319 @ SY320 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1561]) ).
thf(1839,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK181_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1562]) ).
thf(1840,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK181_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY321: $i] :
~ ~ ( ~ ( in @ SY321 @ ( sK181_SY8 @ SV1 ) )
| ~ ! [SY322: $i] :
( ~ ( in @ SY322 @ ( sK181_SY8 @ SV1 ) )
| ( SY321 = SY322 )
| ( in @ SY321 @ SY322 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1562]) ).
thf(1841,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1842,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1843,plain,
! [SV1: $i] :
( ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1565]) ).
thf(1844,plain,
! [SV1: $i] :
( ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1566]) ).
thf(1845,plain,
! [SV1: $i] :
( ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1567]) ).
thf(1846,plain,
! [SV1: $i] :
( ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1568]) ).
thf(1847,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1569]) ).
thf(1848,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1849,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK182_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1571]) ).
thf(1850,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK182_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY323: $i] :
~ ~ ( ~ ( in @ SY323 @ ( sK182_SY8 @ SV1 ) )
| ~ ! [SY324: $i] :
( ~ ( in @ SY324 @ ( sK182_SY8 @ SV1 ) )
| ( SY323 = SY324 )
| ( in @ SY323 @ SY324 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1571]) ).
thf(1851,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK183_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1572]) ).
thf(1852,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK183_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY325: $i] :
~ ~ ( ~ ( in @ SY325 @ ( sK183_SY8 @ SV1 ) )
| ~ ! [SY326: $i] :
( ~ ( in @ SY326 @ ( sK183_SY8 @ SV1 ) )
| ( SY325 = SY326 )
| ( in @ SY325 @ SY326 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1572]) ).
thf(1853,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1854,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1574]) ).
thf(1855,plain,
! [SV1: $i] :
( ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1856,plain,
! [SV1: $i] :
( ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1576]) ).
thf(1857,plain,
! [SV1: $i] :
( ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1858,plain,
! [SV1: $i] :
( ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ~ ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1578]) ).
thf(1859,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1579]) ).
thf(1860,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1580]) ).
thf(1861,plain,
! [SV119: $i,SV1: $i,SV177: $i] :
( ( ( ~ ( in @ SV177 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV119 @ SV177 )
| ( in @ SV119 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK118_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1581]) ).
thf(1862,plain,
! [SV231: $i,SV1: $i] :
( ( ( ! [SY363: $i] :
( ~ ( in @ SY363 @ SV1 )
| ~ ( in @ SV231 @ SY363 )
| ( in @ SV231 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK118_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1582]) ).
thf(1863,plain,
! [SV1: $i,SV178: $i] :
( ( ( ~ ( ~ ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
| ~ ! [SY327: $i] :
( ~ ( in @ SY327 @ ( sK118_SY8 @ SV1 ) )
| ( SV178 = SY327 )
| ( in @ SV178 @ SY327 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1583]) ).
thf(1864,plain,
! [SV120: $i,SV1: $i,SV179: $i] :
( ( ( ~ ( in @ SV179 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV120 @ SV179 )
| ( in @ SV120 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK119_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1584]) ).
thf(1865,plain,
! [SV232: $i,SV1: $i] :
( ( ( ! [SY364: $i] :
( ~ ( in @ SY364 @ SV1 )
| ~ ( in @ SV232 @ SY364 )
| ( in @ SV232 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK119_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1585]) ).
thf(1866,plain,
! [SV1: $i,SV180: $i] :
( ( ( ~ ( ~ ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
| ~ ! [SY328: $i] :
( ~ ( in @ SY328 @ ( sK119_SY8 @ SV1 ) )
| ( SV180 = SY328 )
| ( in @ SV180 @ SY328 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1586]) ).
thf(1867,plain,
! [SV233: $i,SV1: $i] :
( ( ( ! [SY365: $i] :
( ~ ( in @ SY365 @ SV1 )
| ~ ( in @ SV233 @ SY365 )
| ( in @ SV233 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK148_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1587]) ).
thf(1868,plain,
! [SV1: $i] :
( ( ( ( ( sK148_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1588]) ).
thf(1869,plain,
! [SV1: $i] :
( ( ( ! [SY205: $i] :
~ ~ ( ~ ( in @ SY205 @ ( sK148_SY8 @ SV1 ) )
| ~ ! [SY206: $i] :
( ~ ( in @ SY206 @ ( sK148_SY8 @ SV1 ) )
| ( SY205 = SY206 )
| ( in @ SY205 @ SY206 ) ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1589]) ).
thf(1870,plain,
! [SV234: $i,SV1: $i] :
( ( ( ! [SY366: $i] :
( ~ ( in @ SY366 @ SV1 )
| ~ ( in @ SV234 @ SY366 )
| ( in @ SV234 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK149_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(1871,plain,
! [SV1: $i] :
( ( ( ( ( sK149_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1591]) ).
thf(1872,plain,
! [SV1: $i] :
( ( ( ! [SY207: $i] :
~ ~ ( ~ ( in @ SY207 @ ( sK149_SY8 @ SV1 ) )
| ~ ! [SY208: $i] :
( ~ ( in @ SY208 @ ( sK149_SY8 @ SV1 ) )
| ( SY207 = SY208 )
| ( in @ SY207 @ SY208 ) ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1592]) ).
thf(1873,plain,
! [SV1: $i] :
( ( ( in @ ( sK172_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1593]) ).
thf(1874,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK172_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1875,plain,
! [SV1: $i] :
( ( ( ~ ! [SY273: $i] :
~ ~ ( ~ ( in @ SY273 @ ( sK172_SY8 @ SV1 ) )
| ~ ! [SY274: $i] :
( ~ ( in @ SY274 @ ( sK172_SY8 @ SV1 ) )
| ( SY273 = SY274 )
| ( in @ SY273 @ SY274 ) ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1876,plain,
! [SV1: $i] :
( ( ( in @ ( sK173_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1595]) ).
thf(1877,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK173_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1596]) ).
thf(1878,plain,
! [SV1: $i] :
( ( ( ~ ! [SY275: $i] :
~ ~ ( ~ ( in @ SY275 @ ( sK173_SY8 @ SV1 ) )
| ~ ! [SY276: $i] :
( ~ ( in @ SY276 @ ( sK173_SY8 @ SV1 ) )
| ( SY275 = SY276 )
| ( in @ SY275 @ SY276 ) ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1596]) ).
thf(1879,plain,
! [SV1: $i] :
( ( ( in @ ( sK174_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1597]) ).
thf(1880,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK174_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1598]) ).
thf(1881,plain,
! [SV1: $i] :
( ( ( ~ ! [SY277: $i] :
~ ~ ( ~ ( in @ SY277 @ ( sK174_SY8 @ SV1 ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK174_SY8 @ SV1 ) )
| ( SY277 = SY278 )
| ( in @ SY277 @ SY278 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1598]) ).
thf(1882,plain,
! [SV1: $i] :
( ( ( in @ ( sK175_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1883,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK175_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1600]) ).
thf(1884,plain,
! [SV1: $i] :
( ( ( ~ ! [SY279: $i] :
~ ~ ( ~ ( in @ SY279 @ ( sK175_SY8 @ SV1 ) )
| ~ ! [SY280: $i] :
( ~ ( in @ SY280 @ ( sK175_SY8 @ SV1 ) )
| ( SY279 = SY280 )
| ( in @ SY279 @ SY280 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1600]) ).
thf(1885,plain,
! [SV235: $i,SV1: $i] :
( ( ( ! [SY367: $i] :
( ~ ( in @ SY367 @ SV1 )
| ~ ( in @ SV235 @ SY367 )
| ( in @ SV235 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK150_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1601]) ).
thf(1886,plain,
! [SV1: $i] :
( ( ( ( ( sK150_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1602]) ).
thf(1887,plain,
! [SV1: $i] :
( ( ( ! [SY209: $i] :
~ ~ ( ~ ( in @ SY209 @ ( sK150_SY8 @ SV1 ) )
| ~ ! [SY210: $i] :
( ~ ( in @ SY210 @ ( sK150_SY8 @ SV1 ) )
| ( SY209 = SY210 )
| ( in @ SY209 @ SY210 ) ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1603]) ).
thf(1888,plain,
! [SV236: $i,SV1: $i] :
( ( ( ! [SY368: $i] :
( ~ ( in @ SY368 @ SV1 )
| ~ ( in @ SV236 @ SY368 )
| ( in @ SV236 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK151_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(1889,plain,
! [SV1: $i] :
( ( ( ( ( sK151_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1605]) ).
thf(1890,plain,
! [SV1: $i] :
( ( ( ! [SY211: $i] :
~ ~ ( ~ ( in @ SY211 @ ( sK151_SY8 @ SV1 ) )
| ~ ! [SY212: $i] :
( ~ ( in @ SY212 @ ( sK151_SY8 @ SV1 ) )
| ( SY211 = SY212 )
| ( in @ SY211 @ SY212 ) ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1606]) ).
thf(1891,plain,
! [SV1: $i,SV41: $i,SV25: $i] :
( ( ( in @ SV25 @ SV41 )
= $false )
| ( ( in @ SV25 @ SV1 )
= $true )
| ( ( in @ SV41 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK40_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1607]) ).
thf(1892,plain,
! [SV1: $i,SV18: $i] :
( ( ( ~ ( in @ ( sK184_SY93 @ SV18 @ SV1 ) @ ( sK40_SY8 @ SV1 ) )
| ( SV18
= ( sK184_SY93 @ SV18 @ SV1 ) )
| ( in @ SV18 @ ( sK184_SY93 @ SV18 @ SV1 ) ) )
= $false )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1608]) ).
thf(1893,plain,
! [SV1: $i,SV42: $i,SV26: $i] :
( ( ( in @ SV26 @ SV42 )
= $false )
| ( ( in @ SV26 @ SV1 )
= $true )
| ( ( in @ SV42 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK41_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1894,plain,
! [SV1: $i,SV20: $i] :
( ( ( ~ ( in @ ( sK185_SY94 @ SV20 @ SV1 ) @ ( sK41_SY8 @ SV1 ) )
| ( SV20
= ( sK185_SY94 @ SV20 @ SV1 ) )
| ( in @ SV20 @ ( sK185_SY94 @ SV20 @ SV1 ) ) )
= $false )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1610]) ).
thf(1895,plain,
! [SV1: $i,SV43: $i,SV27: $i] :
( ( ( in @ SV27 @ SV43 )
= $false )
| ( ( in @ SV27 @ SV1 )
= $true )
| ( ( in @ SV43 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK60_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1611]) ).
thf(1896,plain,
! [SV77: $i,SV1: $i,SV121: $i] :
( ( ( in @ SV121 @ SV1 )
= $false )
| ( ( ~ ( in @ SV77 @ SV121 )
| ( in @ SV77 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK60_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1897,plain,
! [SV1: $i,SV44: $i] :
( ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY161: $i] :
( ~ ( in @ SY161 @ ( sK60_SY8 @ SV1 ) )
| ( SV44 = SY161 )
| ( in @ SV44 @ SY161 ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1898,plain,
! [SV1: $i,SV45: $i,SV28: $i] :
( ( ( in @ SV28 @ SV45 )
= $false )
| ( ( in @ SV28 @ SV1 )
= $true )
| ( ( in @ SV45 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK61_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1899,plain,
! [SV78: $i,SV1: $i,SV122: $i] :
( ( ( in @ SV122 @ SV1 )
= $false )
| ( ( ~ ( in @ SV78 @ SV122 )
| ( in @ SV78 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK61_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1900,plain,
! [SV1: $i,SV46: $i] :
( ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY162: $i] :
( ~ ( in @ SY162 @ ( sK61_SY8 @ SV1 ) )
| ( SV46 = SY162 )
| ( in @ SV46 @ SY162 ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1901,plain,
! [SV1: $i,SV79: $i,SV47: $i] :
( ( ( ~ ( in @ SV47 @ SV79 ) )
= $true )
| ( ( in @ SV47 @ SV1 )
= $true )
| ( ( in @ SV79 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK84_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1617]) ).
thf(1902,plain,
! [SV123: $i,SV1: $i,SV181: $i] :
( ( ( ~ ( in @ SV181 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV123 @ SV181 )
| ( in @ SV123 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK84_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1618]) ).
thf(1903,plain,
! [SV1: $i,SV80: $i] :
( ( ( ~ ( in @ SV80 @ ( sK84_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ ( sK84_SY8 @ SV1 ) )
| ( SV80 = SY215 )
| ( in @ SV80 @ SY215 ) ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1619]) ).
thf(1904,plain,
! [SV1: $i,SV81: $i,SV48: $i] :
( ( ( ~ ( in @ SV48 @ SV81 ) )
= $true )
| ( ( in @ SV48 @ SV1 )
= $true )
| ( ( in @ SV81 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK85_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1620]) ).
thf(1905,plain,
! [SV124: $i,SV1: $i,SV182: $i] :
( ( ( ~ ( in @ SV182 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV124 @ SV182 )
| ( in @ SV124 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK85_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1621]) ).
thf(1906,plain,
! [SV1: $i,SV82: $i] :
( ( ( ~ ( in @ SV82 @ ( sK85_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY216: $i] :
( ~ ( in @ SY216 @ ( sK85_SY8 @ SV1 ) )
| ( SV82 = SY216 )
| ( in @ SV82 @ SY216 ) ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1622]) ).
thf(1907,plain,
! [SV1: $i,SV83: $i,SV49: $i] :
( ( ( ~ ( in @ SV49 @ SV83 ) )
= $true )
| ( ( in @ SV49 @ SV1 )
= $true )
| ( ( in @ SV83 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK86_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1623]) ).
thf(1908,plain,
! [SV125: $i,SV1: $i,SV183: $i] :
( ( ( ~ ( in @ SV183 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV125 @ SV183 )
| ( in @ SV125 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK86_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1624]) ).
thf(1909,plain,
! [SV1: $i,SV84: $i] :
( ( ( ~ ( in @ SV84 @ ( sK86_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY217: $i] :
( ~ ( in @ SY217 @ ( sK86_SY8 @ SV1 ) )
| ( SV84 = SY217 )
| ( in @ SV84 @ SY217 ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1625]) ).
thf(1910,plain,
! [SV1: $i,SV85: $i,SV50: $i] :
( ( ( ~ ( in @ SV50 @ SV85 ) )
= $true )
| ( ( in @ SV50 @ SV1 )
= $true )
| ( ( in @ SV85 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK87_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1626]) ).
thf(1911,plain,
! [SV126: $i,SV1: $i,SV184: $i] :
( ( ( ~ ( in @ SV184 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV126 @ SV184 )
| ( in @ SV126 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK87_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1627]) ).
thf(1912,plain,
! [SV1: $i,SV86: $i] :
( ( ( ~ ( in @ SV86 @ ( sK87_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ ( sK87_SY8 @ SV1 ) )
| ( SV86 = SY218 )
| ( in @ SV86 @ SY218 ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1628]) ).
thf(1913,plain,
! [SV1: $i,SV51: $i,SV29: $i] :
( ( ( in @ SV29 @ SV51 )
= $false )
| ( ( in @ SV29 @ SV1 )
= $true )
| ( ( in @ SV51 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK62_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1629]) ).
thf(1914,plain,
! [SV87: $i,SV1: $i,SV127: $i] :
( ( ( in @ SV127 @ SV1 )
= $false )
| ( ( ~ ( in @ SV87 @ SV127 )
| ( in @ SV87 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ( sK62_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1630]) ).
thf(1915,plain,
! [SV1: $i,SV52: $i] :
( ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY167: $i] :
( ~ ( in @ SY167 @ ( sK62_SY8 @ SV1 ) )
| ( SV52 = SY167 )
| ( in @ SV52 @ SY167 ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1916,plain,
! [SV1: $i,SV53: $i,SV30: $i] :
( ( ( in @ SV30 @ SV53 )
= $false )
| ( ( in @ SV30 @ SV1 )
= $true )
| ( ( in @ SV53 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK63_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1632]) ).
thf(1917,plain,
! [SV88: $i,SV1: $i,SV128: $i] :
( ( ( in @ SV128 @ SV1 )
= $false )
| ( ( ~ ( in @ SV88 @ SV128 )
| ( in @ SV88 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ( sK63_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1633]) ).
thf(1918,plain,
! [SV1: $i,SV54: $i] :
( ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY168: $i] :
( ~ ( in @ SY168 @ ( sK63_SY8 @ SV1 ) )
| ( SV54 = SY168 )
| ( in @ SV54 @ SY168 ) ) )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1634]) ).
thf(1919,plain,
! [SV1: $i,SV55: $i,SV31: $i] :
( ( ( in @ SV31 @ SV55 )
= $false )
| ( ( in @ SV31 @ SV1 )
= $true )
| ( ( in @ SV55 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK64_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1635]) ).
thf(1920,plain,
! [SV89: $i,SV1: $i,SV129: $i] :
( ( ( in @ SV129 @ SV1 )
= $false )
| ( ( ~ ( in @ SV89 @ SV129 )
| ( in @ SV89 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK64_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1636]) ).
thf(1921,plain,
! [SV1: $i,SV56: $i] :
( ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY169: $i] :
( ~ ( in @ SY169 @ ( sK64_SY8 @ SV1 ) )
| ( SV56 = SY169 )
| ( in @ SV56 @ SY169 ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1637]) ).
thf(1922,plain,
! [SV1: $i,SV57: $i,SV32: $i] :
( ( ( in @ SV32 @ SV57 )
= $false )
| ( ( in @ SV32 @ SV1 )
= $true )
| ( ( in @ SV57 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK65_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1638]) ).
thf(1923,plain,
! [SV90: $i,SV1: $i,SV130: $i] :
( ( ( in @ SV130 @ SV1 )
= $false )
| ( ( ~ ( in @ SV90 @ SV130 )
| ( in @ SV90 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK65_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1639]) ).
thf(1924,plain,
! [SV1: $i,SV58: $i] :
( ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY170: $i] :
( ~ ( in @ SY170 @ ( sK65_SY8 @ SV1 ) )
| ( SV58 = SY170 )
| ( in @ SV58 @ SY170 ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1640]) ).
thf(1925,plain,
! [SV91: $i,SV1: $i,SV131: $i] :
( ( ( in @ SV131 @ SV1 )
= $false )
| ( ( ~ ( in @ SV91 @ SV131 )
| ( in @ SV91 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK100_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1641]) ).
thf(1926,plain,
! [SV185: $i,SV1: $i,SV237: $i] :
( ( ( ~ ( in @ SV237 @ SV1 )
| ~ ( in @ SV185 @ SV237 )
| ( in @ SV185 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK100_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1642]) ).
thf(1927,plain,
! [SV1: $i,SV132: $i] :
( ( ( ~ ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
| ~ ! [SY285: $i] :
( ~ ( in @ SY285 @ ( sK100_SY8 @ SV1 ) )
| ( SV132 = SY285 )
| ( in @ SV132 @ SY285 ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1643]) ).
thf(1928,plain,
! [SV92: $i,SV1: $i,SV133: $i] :
( ( ( in @ SV133 @ SV1 )
= $false )
| ( ( ~ ( in @ SV92 @ SV133 )
| ( in @ SV92 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK101_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1644]) ).
thf(1929,plain,
! [SV186: $i,SV1: $i,SV238: $i] :
( ( ( ~ ( in @ SV238 @ SV1 )
| ~ ( in @ SV186 @ SV238 )
| ( in @ SV186 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK101_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1645]) ).
thf(1930,plain,
! [SV1: $i,SV134: $i] :
( ( ( ~ ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
| ~ ! [SY286: $i] :
( ~ ( in @ SY286 @ ( sK101_SY8 @ SV1 ) )
| ( SV134 = SY286 )
| ( in @ SV134 @ SY286 ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1646]) ).
thf(1931,plain,
! [SV135: $i,SV1: $i,SV187: $i] :
( ( ( ~ ( in @ SV187 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV135 @ SV187 )
| ( in @ SV135 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK120_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1647]) ).
thf(1932,plain,
! [SV239: $i,SV1: $i] :
( ( ( ! [SY369: $i] :
( ~ ( in @ SY369 @ SV1 )
| ~ ( in @ SV239 @ SY369 )
| ( in @ SV239 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK120_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1648]) ).
thf(1933,plain,
! [SV1: $i,SV188: $i] :
( ( ( ~ ( ~ ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
| ~ ! [SY331: $i] :
( ~ ( in @ SY331 @ ( sK120_SY8 @ SV1 ) )
| ( SV188 = SY331 )
| ( in @ SV188 @ SY331 ) ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1649]) ).
thf(1934,plain,
! [SV136: $i,SV1: $i,SV189: $i] :
( ( ( ~ ( in @ SV189 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV136 @ SV189 )
| ( in @ SV136 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK121_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1650]) ).
thf(1935,plain,
! [SV240: $i,SV1: $i] :
( ( ( ! [SY370: $i] :
( ~ ( in @ SY370 @ SV1 )
| ~ ( in @ SV240 @ SY370 )
| ( in @ SV240 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK121_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1651]) ).
thf(1936,plain,
! [SV1: $i,SV190: $i] :
( ( ( ~ ( ~ ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
| ~ ! [SY332: $i] :
( ~ ( in @ SY332 @ ( sK121_SY8 @ SV1 ) )
| ( SV190 = SY332 )
| ( in @ SV190 @ SY332 ) ) ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1937,plain,
! [SV137: $i,SV1: $i,SV191: $i] :
( ( ( ~ ( in @ SV191 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV137 @ SV191 )
| ( in @ SV137 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK122_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1653]) ).
thf(1938,plain,
! [SV241: $i,SV1: $i] :
( ( ( ! [SY371: $i] :
( ~ ( in @ SY371 @ SV1 )
| ~ ( in @ SV241 @ SY371 )
| ( in @ SV241 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK122_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1654]) ).
thf(1939,plain,
! [SV1: $i,SV192: $i] :
( ( ( ~ ( ~ ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
| ~ ! [SY333: $i] :
( ~ ( in @ SY333 @ ( sK122_SY8 @ SV1 ) )
| ( SV192 = SY333 )
| ( in @ SV192 @ SY333 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1655]) ).
thf(1940,plain,
! [SV138: $i,SV1: $i,SV193: $i] :
( ( ( ~ ( in @ SV193 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV138 @ SV193 )
| ( in @ SV138 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK123_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1656]) ).
thf(1941,plain,
! [SV242: $i,SV1: $i] :
( ( ( ! [SY372: $i] :
( ~ ( in @ SY372 @ SV1 )
| ~ ( in @ SV242 @ SY372 )
| ( in @ SV242 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK123_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1657]) ).
thf(1942,plain,
! [SV1: $i,SV194: $i] :
( ( ( ~ ( ~ ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
| ~ ! [SY334: $i] :
( ~ ( in @ SY334 @ ( sK123_SY8 @ SV1 ) )
| ( SV194 = SY334 )
| ( in @ SV194 @ SY334 ) ) ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1658]) ).
thf(1943,plain,
! [SV93: $i,SV1: $i,SV139: $i] :
( ( ( in @ SV139 @ SV1 )
= $false )
| ( ( ~ ( in @ SV93 @ SV139 )
| ( in @ SV93 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK102_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1659]) ).
thf(1944,plain,
! [SV195: $i,SV1: $i,SV243: $i] :
( ( ( ~ ( in @ SV243 @ SV1 )
| ~ ( in @ SV195 @ SV243 )
| ( in @ SV195 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ( sK102_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1660]) ).
thf(1945,plain,
! [SV1: $i,SV140: $i] :
( ( ( ~ ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
| ~ ! [SY291: $i] :
( ~ ( in @ SY291 @ ( sK102_SY8 @ SV1 ) )
| ( SV140 = SY291 )
| ( in @ SV140 @ SY291 ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1661]) ).
thf(1946,plain,
! [SV94: $i,SV1: $i,SV141: $i] :
( ( ( in @ SV141 @ SV1 )
= $false )
| ( ( ~ ( in @ SV94 @ SV141 )
| ( in @ SV94 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK103_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1662]) ).
thf(1947,plain,
! [SV196: $i,SV1: $i,SV244: $i] :
( ( ( ~ ( in @ SV244 @ SV1 )
| ~ ( in @ SV196 @ SV244 )
| ( in @ SV196 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ( sK103_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1663]) ).
thf(1948,plain,
! [SV1: $i,SV142: $i] :
( ( ( ~ ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
| ~ ! [SY292: $i] :
( ~ ( in @ SY292 @ ( sK103_SY8 @ SV1 ) )
| ( SV142 = SY292 )
| ( in @ SV142 @ SY292 ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1664]) ).
thf(1949,plain,
! [SV95: $i,SV1: $i,SV143: $i] :
( ( ( in @ SV143 @ SV1 )
= $false )
| ( ( ~ ( in @ SV95 @ SV143 )
| ( in @ SV95 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK104_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1665]) ).
thf(1950,plain,
! [SV197: $i,SV1: $i,SV245: $i] :
( ( ( ~ ( in @ SV245 @ SV1 )
| ~ ( in @ SV197 @ SV245 )
| ( in @ SV197 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK104_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1666]) ).
thf(1951,plain,
! [SV1: $i,SV144: $i] :
( ( ( ~ ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
| ~ ! [SY293: $i] :
( ~ ( in @ SY293 @ ( sK104_SY8 @ SV1 ) )
| ( SV144 = SY293 )
| ( in @ SV144 @ SY293 ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1952,plain,
! [SV96: $i,SV1: $i,SV145: $i] :
( ( ( in @ SV145 @ SV1 )
= $false )
| ( ( ~ ( in @ SV96 @ SV145 )
| ( in @ SV96 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK105_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1953,plain,
! [SV198: $i,SV1: $i,SV246: $i] :
( ( ( ~ ( in @ SV246 @ SV1 )
| ~ ( in @ SV198 @ SV246 )
| ( in @ SV198 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK105_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1669]) ).
thf(1954,plain,
! [SV1: $i,SV146: $i] :
( ( ( ~ ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
| ~ ! [SY294: $i] :
( ~ ( in @ SY294 @ ( sK105_SY8 @ SV1 ) )
| ( SV146 = SY294 )
| ( in @ SV146 @ SY294 ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1670]) ).
thf(1955,plain,
! [SV199: $i,SV1: $i,SV247: $i] :
( ( ( ~ ( in @ SV247 @ SV1 )
| ~ ( in @ SV199 @ SV247 )
| ( in @ SV199 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK128_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1671]) ).
thf(1956,plain,
! [SV1: $i] :
( ( ( ( sK128_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1957,plain,
! [SV1: $i,SV248: $i] :
( ( ( ~ ~ ( ~ ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
| ~ ! [SY373: $i] :
( ~ ( in @ SY373 @ ( sK128_SY8 @ SV1 ) )
| ( SV248 = SY373 )
| ( in @ SV248 @ SY373 ) ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1673]) ).
thf(1958,plain,
! [SV200: $i,SV1: $i,SV249: $i] :
( ( ( ~ ( in @ SV249 @ SV1 )
| ~ ( in @ SV200 @ SV249 )
| ( in @ SV200 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK129_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1674]) ).
thf(1959,plain,
! [SV1: $i] :
( ( ( ( sK129_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1675]) ).
thf(1960,plain,
! [SV1: $i,SV250: $i] :
( ( ( ~ ~ ( ~ ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
| ~ ! [SY374: $i] :
( ~ ( in @ SY374 @ ( sK129_SY8 @ SV1 ) )
| ( SV250 = SY374 )
| ( in @ SV250 @ SY374 ) ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1676]) ).
thf(1961,plain,
! [SV251: $i,SV1: $i] :
( ( ( ! [SY375: $i] :
( ~ ( in @ SY375 @ SV1 )
| ~ ( in @ SV251 @ SY375 )
| ( in @ SV251 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK152_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1677]) ).
thf(1962,plain,
! [SV1: $i] :
( ( ( ( ( sK152_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1678]) ).
thf(1963,plain,
! [SV1: $i] :
( ( ( ! [SY229: $i] :
~ ~ ( ~ ( in @ SY229 @ ( sK152_SY8 @ SV1 ) )
| ~ ! [SY230: $i] :
( ~ ( in @ SY230 @ ( sK152_SY8 @ SV1 ) )
| ( SY229 = SY230 )
| ( in @ SY229 @ SY230 ) ) ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1679]) ).
thf(1964,plain,
! [SV252: $i,SV1: $i] :
( ( ( ! [SY376: $i] :
( ~ ( in @ SY376 @ SV1 )
| ~ ( in @ SV252 @ SY376 )
| ( in @ SV252 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK153_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(1965,plain,
! [SV1: $i] :
( ( ( ( ( sK153_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1681]) ).
thf(1966,plain,
! [SV1: $i] :
( ( ( ! [SY231: $i] :
~ ~ ( ~ ( in @ SY231 @ ( sK153_SY8 @ SV1 ) )
| ~ ! [SY232: $i] :
( ~ ( in @ SY232 @ ( sK153_SY8 @ SV1 ) )
| ( SY231 = SY232 )
| ( in @ SY231 @ SY232 ) ) ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1682]) ).
thf(1967,plain,
! [SV253: $i,SV1: $i] :
( ( ( ! [SY377: $i] :
( ~ ( in @ SY377 @ SV1 )
| ~ ( in @ SV253 @ SY377 )
| ( in @ SV253 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK154_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1683]) ).
thf(1968,plain,
! [SV1: $i] :
( ( ( ( ( sK154_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1684]) ).
thf(1969,plain,
! [SV1: $i] :
( ( ( ! [SY233: $i] :
~ ~ ( ~ ( in @ SY233 @ ( sK154_SY8 @ SV1 ) )
| ~ ! [SY234: $i] :
( ~ ( in @ SY234 @ ( sK154_SY8 @ SV1 ) )
| ( SY233 = SY234 )
| ( in @ SY233 @ SY234 ) ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1685]) ).
thf(1970,plain,
! [SV254: $i,SV1: $i] :
( ( ( ! [SY378: $i] :
( ~ ( in @ SY378 @ SV1 )
| ~ ( in @ SV254 @ SY378 )
| ( in @ SV254 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK155_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1686]) ).
thf(1971,plain,
! [SV1: $i] :
( ( ( ( ( sK155_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1687]) ).
thf(1972,plain,
! [SV1: $i] :
( ( ( ! [SY235: $i] :
~ ~ ( ~ ( in @ SY235 @ ( sK155_SY8 @ SV1 ) )
| ~ ! [SY236: $i] :
( ~ ( in @ SY236 @ ( sK155_SY8 @ SV1 ) )
| ( SY235 = SY236 )
| ( in @ SY235 @ SY236 ) ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1973,plain,
! [SV201: $i,SV1: $i,SV255: $i] :
( ( ( ~ ( in @ SV255 @ SV1 )
| ~ ( in @ SV201 @ SV255 )
| ( in @ SV201 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK130_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1689]) ).
thf(1974,plain,
! [SV1: $i] :
( ( ( ( sK130_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1690]) ).
thf(1975,plain,
! [SV1: $i,SV256: $i] :
( ( ( ~ ~ ( ~ ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
| ~ ! [SY379: $i] :
( ~ ( in @ SY379 @ ( sK130_SY8 @ SV1 ) )
| ( SV256 = SY379 )
| ( in @ SV256 @ SY379 ) ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(1976,plain,
! [SV202: $i,SV1: $i,SV257: $i] :
( ( ( ~ ( in @ SV257 @ SV1 )
| ~ ( in @ SV202 @ SV257 )
| ( in @ SV202 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK131_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(1977,plain,
! [SV1: $i] :
( ( ( ( sK131_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1978,plain,
! [SV1: $i,SV258: $i] :
( ( ( ~ ~ ( ~ ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
| ~ ! [SY380: $i] :
( ~ ( in @ SY380 @ ( sK131_SY8 @ SV1 ) )
| ( SV258 = SY380 )
| ( in @ SV258 @ SY380 ) ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1694]) ).
thf(1979,plain,
! [SV1: $i] :
( ( ( in @ ( sK176_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1695]) ).
thf(1980,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK176_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1981,plain,
! [SV1: $i] :
( ( ( ~ ! [SY295: $i] :
~ ~ ( ~ ( in @ SY295 @ ( sK176_SY8 @ SV1 ) )
| ~ ! [SY296: $i] :
( ~ ( in @ SY296 @ ( sK176_SY8 @ SV1 ) )
| ( SY295 = SY296 )
| ( in @ SY295 @ SY296 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1982,plain,
! [SV1: $i] :
( ( ( in @ ( sK177_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1697]) ).
thf(1983,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK177_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1698]) ).
thf(1984,plain,
! [SV1: $i] :
( ( ( ~ ! [SY297: $i] :
~ ~ ( ~ ( in @ SY297 @ ( sK177_SY8 @ SV1 ) )
| ~ ! [SY298: $i] :
( ~ ( in @ SY298 @ ( sK177_SY8 @ SV1 ) )
| ( SY297 = SY298 )
| ( in @ SY297 @ SY298 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1698]) ).
thf(1985,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK186_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK186_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY381: $i] :
~ ~ ( ~ ( in @ SY381 @ ( sK186_SY8 @ SV1 ) )
| ~ ! [SY382: $i] :
( ~ ( in @ SY382 @ ( sK186_SY8 @ SV1 ) )
| ( SY381 = SY382 )
| ( in @ SY381 @ SY382 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1699]) ).
thf(1986,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK187_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK187_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY383: $i] :
~ ~ ( ~ ( in @ SY383 @ ( sK187_SY8 @ SV1 ) )
| ~ ! [SY384: $i] :
( ~ ( in @ SY384 @ ( sK187_SY8 @ SV1 ) )
| ( SY383 = SY384 )
| ( in @ SY383 @ SY384 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1700]) ).
thf(1987,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(1988,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1702]) ).
thf(1989,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1703]) ).
thf(1990,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1704]) ).
thf(1991,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK188_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK188_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY385: $i] :
~ ~ ( ~ ( in @ SY385 @ ( sK188_SY8 @ SV1 ) )
| ~ ! [SY386: $i] :
( ~ ( in @ SY386 @ ( sK188_SY8 @ SV1 ) )
| ( SY385 = SY386 )
| ( in @ SY385 @ SY386 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1705]) ).
thf(1992,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK189_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK189_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY387: $i] :
~ ~ ( ~ ( in @ SY387 @ ( sK189_SY8 @ SV1 ) )
| ~ ! [SY388: $i] :
( ~ ( in @ SY388 @ ( sK189_SY8 @ SV1 ) )
| ( SY387 = SY388 )
| ( in @ SY387 @ SY388 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1706]) ).
thf(1993,plain,
! [SV1: $i] :
( ( ( in @ ( sK178_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1707]) ).
thf(1994,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK178_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1708]) ).
thf(1995,plain,
! [SV1: $i] :
( ( ( ~ ! [SY299: $i] :
~ ~ ( ~ ( in @ SY299 @ ( sK178_SY8 @ SV1 ) )
| ~ ! [SY300: $i] :
( ~ ( in @ SY300 @ ( sK178_SY8 @ SV1 ) )
| ( SY299 = SY300 )
| ( in @ SY299 @ SY300 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1708]) ).
thf(1996,plain,
! [SV1: $i] :
( ( ( in @ ( sK179_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1709]) ).
thf(1997,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK179_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1998,plain,
! [SV1: $i] :
( ( ( ~ ! [SY301: $i] :
~ ~ ( ~ ( in @ SY301 @ ( sK179_SY8 @ SV1 ) )
| ~ ! [SY302: $i] :
( ~ ( in @ SY302 @ ( sK179_SY8 @ SV1 ) )
| ( SY301 = SY302 )
| ( in @ SY301 @ SY302 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1999,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK190_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK190_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY389: $i] :
~ ~ ( ~ ( in @ SY389 @ ( sK190_SY8 @ SV1 ) )
| ~ ! [SY390: $i] :
( ~ ( in @ SY390 @ ( sK190_SY8 @ SV1 ) )
| ( SY389 = SY390 )
| ( in @ SY389 @ SY390 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1711]) ).
thf(2000,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK191_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK191_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY391: $i] :
~ ~ ( ~ ( in @ SY391 @ ( sK191_SY8 @ SV1 ) )
| ~ ! [SY392: $i] :
( ~ ( in @ SY392 @ ( sK191_SY8 @ SV1 ) )
| ( SY391 = SY392 )
| ( in @ SY391 @ SY392 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1712]) ).
thf(2001,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(2002,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(2003,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(2004,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1716]) ).
thf(2005,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK192_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK192_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY393: $i] :
~ ~ ( ~ ( in @ SY393 @ ( sK192_SY8 @ SV1 ) )
| ~ ! [SY394: $i] :
( ~ ( in @ SY394 @ ( sK192_SY8 @ SV1 ) )
| ( SY393 = SY394 )
| ( in @ SY393 @ SY394 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1717]) ).
thf(2006,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK193_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK193_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY395: $i] :
~ ~ ( ~ ( in @ SY395 @ ( sK193_SY8 @ SV1 ) )
| ~ ! [SY396: $i] :
( ~ ( in @ SY396 @ ( sK193_SY8 @ SV1 ) )
| ( SY395 = SY396 )
| ( in @ SY395 @ SY396 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1718]) ).
thf(2007,plain,
! [SV97: $i,SV1: $i,SV147: $i] :
( ( ( in @ SV147 @ SV1 )
= $false )
| ( ( ~ ( in @ SV97 @ SV147 )
| ( in @ SV97 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK108_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(2008,plain,
! [SV203: $i,SV1: $i,SV259: $i] :
( ( ( ~ ( in @ SV259 @ SV1 )
| ~ ( in @ SV203 @ SV259 )
| ( in @ SV203 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK108_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1720]) ).
thf(2009,plain,
! [SV1: $i,SV148: $i] :
( ( ( ~ ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
| ~ ! [SY303: $i] :
( ~ ( in @ SY303 @ ( sK108_SY8 @ SV1 ) )
| ( SV148 = SY303 )
| ( in @ SV148 @ SY303 ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1721]) ).
thf(2010,plain,
! [SV98: $i,SV1: $i,SV149: $i] :
( ( ( in @ SV149 @ SV1 )
= $false )
| ( ( ~ ( in @ SV98 @ SV149 )
| ( in @ SV98 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK109_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(2011,plain,
! [SV204: $i,SV1: $i,SV260: $i] :
( ( ( ~ ( in @ SV260 @ SV1 )
| ~ ( in @ SV204 @ SV260 )
| ( in @ SV204 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK109_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1723]) ).
thf(2012,plain,
! [SV1: $i,SV150: $i] :
( ( ( ~ ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
| ~ ! [SY304: $i] :
( ~ ( in @ SY304 @ ( sK109_SY8 @ SV1 ) )
| ( SV150 = SY304 )
| ( in @ SV150 @ SY304 ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1724]) ).
thf(2013,plain,
! [SV205: $i,SV1: $i,SV261: $i] :
( ( ( ~ ( in @ SV261 @ SV1 )
| ~ ( in @ SV205 @ SV261 )
| ( in @ SV205 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK136_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1725]) ).
thf(2014,plain,
! [SV1: $i] :
( ( ( ( sK136_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1726]) ).
thf(2015,plain,
! [SV1: $i,SV262: $i] :
( ( ( ~ ~ ( ~ ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
| ~ ! [SY397: $i] :
( ~ ( in @ SY397 @ ( sK136_SY8 @ SV1 ) )
| ( SV262 = SY397 )
| ( in @ SV262 @ SY397 ) ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1727]) ).
thf(2016,plain,
! [SV206: $i,SV1: $i,SV263: $i] :
( ( ( ~ ( in @ SV263 @ SV1 )
| ~ ( in @ SV206 @ SV263 )
| ( in @ SV206 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK137_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1728]) ).
thf(2017,plain,
! [SV1: $i] :
( ( ( ( sK137_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(2018,plain,
! [SV1: $i,SV264: $i] :
( ( ( ~ ~ ( ~ ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
| ~ ! [SY398: $i] :
( ~ ( in @ SY398 @ ( sK137_SY8 @ SV1 ) )
| ( SV264 = SY398 )
| ( in @ SV264 @ SY398 ) ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1730]) ).
thf(2019,plain,
! [SV265: $i,SV1: $i] :
( ( ( ! [SY399: $i] :
( ~ ( in @ SY399 @ SV1 )
| ~ ( in @ SV265 @ SY399 )
| ( in @ SV265 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK160_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1731]) ).
thf(2020,plain,
! [SV1: $i] :
( ( ( ( ( sK160_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1732]) ).
thf(2021,plain,
! [SV1: $i] :
( ( ( ! [SY239: $i] :
~ ~ ( ~ ( in @ SY239 @ ( sK160_SY8 @ SV1 ) )
| ~ ! [SY240: $i] :
( ~ ( in @ SY240 @ ( sK160_SY8 @ SV1 ) )
| ( SY239 = SY240 )
| ( in @ SY239 @ SY240 ) ) ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1733]) ).
thf(2022,plain,
! [SV266: $i,SV1: $i] :
( ( ( ! [SY400: $i] :
( ~ ( in @ SY400 @ SV1 )
| ~ ( in @ SV266 @ SY400 )
| ( in @ SV266 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK161_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1734]) ).
thf(2023,plain,
! [SV1: $i] :
( ( ( ( ( sK161_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1735]) ).
thf(2024,plain,
! [SV1: $i] :
( ( ( ! [SY241: $i] :
~ ~ ( ~ ( in @ SY241 @ ( sK161_SY8 @ SV1 ) )
| ~ ! [SY242: $i] :
( ~ ( in @ SY242 @ ( sK161_SY8 @ SV1 ) )
| ( SY241 = SY242 )
| ( in @ SY241 @ SY242 ) ) ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1736]) ).
thf(2025,plain,
! [SV267: $i,SV1: $i] :
( ( ( ! [SY401: $i] :
( ~ ( in @ SY401 @ SV1 )
| ~ ( in @ SV267 @ SY401 )
| ( in @ SV267 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK162_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1737]) ).
thf(2026,plain,
! [SV1: $i] :
( ( ( ( ( sK162_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1738]) ).
thf(2027,plain,
! [SV1: $i] :
( ( ( ! [SY243: $i] :
~ ~ ( ~ ( in @ SY243 @ ( sK162_SY8 @ SV1 ) )
| ~ ! [SY244: $i] :
( ~ ( in @ SY244 @ ( sK162_SY8 @ SV1 ) )
| ( SY243 = SY244 )
| ( in @ SY243 @ SY244 ) ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1739]) ).
thf(2028,plain,
! [SV268: $i,SV1: $i] :
( ( ( ! [SY402: $i] :
( ~ ( in @ SY402 @ SV1 )
| ~ ( in @ SV268 @ SY402 )
| ( in @ SV268 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK163_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1740]) ).
thf(2029,plain,
! [SV1: $i] :
( ( ( ( ( sK163_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1741]) ).
thf(2030,plain,
! [SV1: $i] :
( ( ( ! [SY245: $i] :
~ ~ ( ~ ( in @ SY245 @ ( sK163_SY8 @ SV1 ) )
| ~ ! [SY246: $i] :
( ~ ( in @ SY246 @ ( sK163_SY8 @ SV1 ) )
| ( SY245 = SY246 )
| ( in @ SY245 @ SY246 ) ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1742]) ).
thf(2031,plain,
! [SV207: $i,SV1: $i,SV269: $i] :
( ( ( ~ ( in @ SV269 @ SV1 )
| ~ ( in @ SV207 @ SV269 )
| ( in @ SV207 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK138_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1743]) ).
thf(2032,plain,
! [SV1: $i] :
( ( ( ( sK138_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(2033,plain,
! [SV1: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
| ~ ! [SY403: $i] :
( ~ ( in @ SY403 @ ( sK138_SY8 @ SV1 ) )
| ( SV270 = SY403 )
| ( in @ SV270 @ SY403 ) ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1745]) ).
thf(2034,plain,
! [SV208: $i,SV1: $i,SV271: $i] :
( ( ( ~ ( in @ SV271 @ SV1 )
| ~ ( in @ SV208 @ SV271 )
| ( in @ SV208 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK139_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1746]) ).
thf(2035,plain,
! [SV1: $i] :
( ( ( ( sK139_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1747]) ).
thf(2036,plain,
! [SV1: $i,SV272: $i] :
( ( ( ~ ~ ( ~ ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
| ~ ! [SY404: $i] :
( ~ ( in @ SY404 @ ( sK139_SY8 @ SV1 ) )
| ( SV272 = SY404 )
| ( in @ SV272 @ SY404 ) ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1748]) ).
thf(2037,plain,
! [SV1: $i,SV59: $i,SV33: $i] :
( ( ( in @ SV33 @ SV59 )
= $false )
| ( ( in @ SV33 @ SV1 )
= $true )
| ( ( in @ SV59 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK48_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1749]) ).
thf(2038,plain,
! [SV1: $i,SV22: $i] :
( ( ( ~ ( in @ ( sK194_SY111 @ SV22 @ SV1 ) @ ( sK48_SY8 @ SV1 ) )
| ( SV22
= ( sK194_SY111 @ SV22 @ SV1 ) )
| ( in @ SV22 @ ( sK194_SY111 @ SV22 @ SV1 ) ) )
= $false )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1750]) ).
thf(2039,plain,
! [SV1: $i,SV60: $i,SV34: $i] :
( ( ( in @ SV34 @ SV60 )
= $false )
| ( ( in @ SV34 @ SV1 )
= $true )
| ( ( in @ SV60 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK49_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1751]) ).
thf(2040,plain,
! [SV1: $i,SV24: $i] :
( ( ( ~ ( in @ ( sK195_SY112 @ SV24 @ SV1 ) @ ( sK49_SY8 @ SV1 ) )
| ( SV24
= ( sK195_SY112 @ SV24 @ SV1 ) )
| ( in @ SV24 @ ( sK195_SY112 @ SV24 @ SV1 ) ) )
= $false )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1752]) ).
thf(2041,plain,
! [SV1: $i,SV61: $i,SV35: $i] :
( ( ( in @ SV35 @ SV61 )
= $false )
| ( ( in @ SV35 @ SV1 )
= $true )
| ( ( in @ SV61 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK72_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1753]) ).
thf(2042,plain,
! [SV99: $i,SV1: $i,SV151: $i] :
( ( ( in @ SV151 @ SV1 )
= $false )
| ( ( ~ ( in @ SV99 @ SV151 )
| ( in @ SV99 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK72_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1754]) ).
thf(2043,plain,
! [SV1: $i,SV62: $i] :
( ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ ( sK72_SY8 @ SV1 ) )
| ( SV62 = SY187 )
| ( in @ SV62 @ SY187 ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1755]) ).
thf(2044,plain,
! [SV1: $i,SV63: $i,SV36: $i] :
( ( ( in @ SV36 @ SV63 )
= $false )
| ( ( in @ SV36 @ SV1 )
= $true )
| ( ( in @ SV63 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK73_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(2045,plain,
! [SV100: $i,SV1: $i,SV152: $i] :
( ( ( in @ SV152 @ SV1 )
= $false )
| ( ( ~ ( in @ SV100 @ SV152 )
| ( in @ SV100 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK73_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1757]) ).
thf(2046,plain,
! [SV1: $i,SV64: $i] :
( ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ ( sK73_SY8 @ SV1 ) )
| ( SV64 = SY188 )
| ( in @ SV64 @ SY188 ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1758]) ).
thf(2047,plain,
! [SV1: $i,SV101: $i,SV65: $i] :
( ( ( ~ ( in @ SV65 @ SV101 ) )
= $true )
| ( ( in @ SV65 @ SV1 )
= $true )
| ( ( in @ SV101 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK92_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1759]) ).
thf(2048,plain,
! [SV153: $i,SV1: $i,SV209: $i] :
( ( ( ~ ( in @ SV209 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV153 @ SV209 )
| ( in @ SV153 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK92_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1760]) ).
thf(2049,plain,
! [SV1: $i,SV102: $i] :
( ( ( ~ ( in @ SV102 @ ( sK92_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ ( sK92_SY8 @ SV1 ) )
| ( SV102 = SY249 )
| ( in @ SV102 @ SY249 ) ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1761]) ).
thf(2050,plain,
! [SV1: $i,SV103: $i,SV66: $i] :
( ( ( ~ ( in @ SV66 @ SV103 ) )
= $true )
| ( ( in @ SV66 @ SV1 )
= $true )
| ( ( in @ SV103 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK93_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1762]) ).
thf(2051,plain,
! [SV154: $i,SV1: $i,SV210: $i] :
( ( ( ~ ( in @ SV210 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV154 @ SV210 )
| ( in @ SV154 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK93_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1763]) ).
thf(2052,plain,
! [SV1: $i,SV104: $i] :
( ( ( ~ ( in @ SV104 @ ( sK93_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY250: $i] :
( ~ ( in @ SY250 @ ( sK93_SY8 @ SV1 ) )
| ( SV104 = SY250 )
| ( in @ SV104 @ SY250 ) ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1764]) ).
thf(2053,plain,
! [SV1: $i,SV105: $i,SV67: $i] :
( ( ( ~ ( in @ SV67 @ SV105 ) )
= $true )
| ( ( in @ SV67 @ SV1 )
= $true )
| ( ( in @ SV105 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK94_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1765]) ).
thf(2054,plain,
! [SV155: $i,SV1: $i,SV211: $i] :
( ( ( ~ ( in @ SV211 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV155 @ SV211 )
| ( in @ SV155 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK94_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1766]) ).
thf(2055,plain,
! [SV1: $i,SV106: $i] :
( ( ( ~ ( in @ SV106 @ ( sK94_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ ( sK94_SY8 @ SV1 ) )
| ( SV106 = SY251 )
| ( in @ SV106 @ SY251 ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1767]) ).
thf(2056,plain,
! [SV1: $i,SV107: $i,SV68: $i] :
( ( ( ~ ( in @ SV68 @ SV107 ) )
= $true )
| ( ( in @ SV68 @ SV1 )
= $true )
| ( ( in @ SV107 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK95_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1768]) ).
thf(2057,plain,
! [SV156: $i,SV1: $i,SV212: $i] :
( ( ( ~ ( in @ SV212 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV156 @ SV212 )
| ( in @ SV156 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK95_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1769]) ).
thf(2058,plain,
! [SV1: $i,SV108: $i] :
( ( ( ~ ( in @ SV108 @ ( sK95_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY252: $i] :
( ~ ( in @ SY252 @ ( sK95_SY8 @ SV1 ) )
| ( SV108 = SY252 )
| ( in @ SV108 @ SY252 ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1770]) ).
thf(2059,plain,
! [SV1: $i,SV69: $i,SV37: $i] :
( ( ( in @ SV37 @ SV69 )
= $false )
| ( ( in @ SV37 @ SV1 )
= $true )
| ( ( in @ SV69 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK74_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1771]) ).
thf(2060,plain,
! [SV109: $i,SV1: $i,SV157: $i] :
( ( ( in @ SV157 @ SV1 )
= $false )
| ( ( ~ ( in @ SV109 @ SV157 )
| ( in @ SV109 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ( sK74_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1772]) ).
thf(2061,plain,
! [SV1: $i,SV70: $i] :
( ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ ( sK74_SY8 @ SV1 ) )
| ( SV70 = SY193 )
| ( in @ SV70 @ SY193 ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1773]) ).
thf(2062,plain,
! [SV1: $i,SV71: $i,SV38: $i] :
( ( ( in @ SV38 @ SV71 )
= $false )
| ( ( in @ SV38 @ SV1 )
= $true )
| ( ( in @ SV71 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK75_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1774]) ).
thf(2063,plain,
! [SV110: $i,SV1: $i,SV158: $i] :
( ( ( in @ SV158 @ SV1 )
= $false )
| ( ( ~ ( in @ SV110 @ SV158 )
| ( in @ SV110 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ( sK75_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1775]) ).
thf(2064,plain,
! [SV1: $i,SV72: $i] :
( ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ ( sK75_SY8 @ SV1 ) )
| ( SV72 = SY194 )
| ( in @ SV72 @ SY194 ) ) )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1776]) ).
thf(2065,plain,
! [SV1: $i,SV73: $i,SV39: $i] :
( ( ( in @ SV39 @ SV73 )
= $false )
| ( ( in @ SV39 @ SV1 )
= $true )
| ( ( in @ SV73 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK76_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1777]) ).
thf(2066,plain,
! [SV111: $i,SV1: $i,SV159: $i] :
( ( ( in @ SV159 @ SV1 )
= $false )
| ( ( ~ ( in @ SV111 @ SV159 )
| ( in @ SV111 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK76_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1778]) ).
thf(2067,plain,
! [SV1: $i,SV74: $i] :
( ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY195: $i] :
( ~ ( in @ SY195 @ ( sK76_SY8 @ SV1 ) )
| ( SV74 = SY195 )
| ( in @ SV74 @ SY195 ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1779]) ).
thf(2068,plain,
! [SV1: $i,SV75: $i,SV40: $i] :
( ( ( in @ SV40 @ SV75 )
= $false )
| ( ( in @ SV40 @ SV1 )
= $true )
| ( ( in @ SV75 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK77_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1780]) ).
thf(2069,plain,
! [SV112: $i,SV1: $i,SV160: $i] :
( ( ( in @ SV160 @ SV1 )
= $false )
| ( ( ~ ( in @ SV112 @ SV160 )
| ( in @ SV112 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK77_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1781]) ).
thf(2070,plain,
! [SV1: $i,SV76: $i] :
( ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY196: $i] :
( ~ ( in @ SY196 @ ( sK77_SY8 @ SV1 ) )
| ( SV76 = SY196 )
| ( in @ SV76 @ SY196 ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1782]) ).
thf(2071,plain,
! [SV113: $i,SV1: $i,SV161: $i] :
( ( ( in @ SV161 @ SV1 )
= $false )
| ( ( ~ ( in @ SV113 @ SV161 )
| ( in @ SV113 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK110_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1783]) ).
thf(2072,plain,
! [SV213: $i,SV1: $i,SV273: $i] :
( ( ( ~ ( in @ SV273 @ SV1 )
| ~ ( in @ SV213 @ SV273 )
| ( in @ SV213 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK110_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(2073,plain,
! [SV1: $i,SV162: $i] :
( ( ( ~ ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
| ~ ! [SY309: $i] :
( ~ ( in @ SY309 @ ( sK110_SY8 @ SV1 ) )
| ( SV162 = SY309 )
| ( in @ SV162 @ SY309 ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1785]) ).
thf(2074,plain,
! [SV114: $i,SV1: $i,SV163: $i] :
( ( ( in @ SV163 @ SV1 )
= $false )
| ( ( ~ ( in @ SV114 @ SV163 )
| ( in @ SV114 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK111_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1786]) ).
thf(2075,plain,
! [SV214: $i,SV1: $i,SV274: $i] :
( ( ( ~ ( in @ SV274 @ SV1 )
| ~ ( in @ SV214 @ SV274 )
| ( in @ SV214 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK111_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1787]) ).
thf(2076,plain,
! [SV1: $i,SV164: $i] :
( ( ( ~ ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
| ~ ! [SY310: $i] :
( ~ ( in @ SY310 @ ( sK111_SY8 @ SV1 ) )
| ( SV164 = SY310 )
| ( in @ SV164 @ SY310 ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1788]) ).
thf(2077,plain,
! [SV165: $i,SV1: $i,SV215: $i] :
( ( ( ~ ( in @ SV215 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV165 @ SV215 )
| ( in @ SV165 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK124_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1789]) ).
thf(2078,plain,
! [SV275: $i,SV1: $i] :
( ( ( ! [SY405: $i] :
( ~ ( in @ SY405 @ SV1 )
| ~ ( in @ SV275 @ SY405 )
| ( in @ SV275 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK124_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1790]) ).
thf(2079,plain,
! [SV1: $i,SV216: $i] :
( ( ( ~ ( ~ ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
| ~ ! [SY351: $i] :
( ~ ( in @ SY351 @ ( sK124_SY8 @ SV1 ) )
| ( SV216 = SY351 )
| ( in @ SV216 @ SY351 ) ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1791]) ).
thf(2080,plain,
! [SV166: $i,SV1: $i,SV217: $i] :
( ( ( ~ ( in @ SV217 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV166 @ SV217 )
| ( in @ SV166 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK125_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1792]) ).
thf(2081,plain,
! [SV276: $i,SV1: $i] :
( ( ( ! [SY406: $i] :
( ~ ( in @ SY406 @ SV1 )
| ~ ( in @ SV276 @ SY406 )
| ( in @ SV276 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK125_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(2082,plain,
! [SV1: $i,SV218: $i] :
( ( ( ~ ( ~ ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
| ~ ! [SY352: $i] :
( ~ ( in @ SY352 @ ( sK125_SY8 @ SV1 ) )
| ( SV218 = SY352 )
| ( in @ SV218 @ SY352 ) ) ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1794]) ).
thf(2083,plain,
! [SV167: $i,SV1: $i,SV219: $i] :
( ( ( ~ ( in @ SV219 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV167 @ SV219 )
| ( in @ SV167 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK126_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1795]) ).
thf(2084,plain,
! [SV277: $i,SV1: $i] :
( ( ( ! [SY407: $i] :
( ~ ( in @ SY407 @ SV1 )
| ~ ( in @ SV277 @ SY407 )
| ( in @ SV277 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK126_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1796]) ).
thf(2085,plain,
! [SV1: $i,SV220: $i] :
( ( ( ~ ( ~ ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
| ~ ! [SY353: $i] :
( ~ ( in @ SY353 @ ( sK126_SY8 @ SV1 ) )
| ( SV220 = SY353 )
| ( in @ SV220 @ SY353 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1797]) ).
thf(2086,plain,
! [SV168: $i,SV1: $i,SV221: $i] :
( ( ( ~ ( in @ SV221 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV168 @ SV221 )
| ( in @ SV168 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK127_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1798]) ).
thf(2087,plain,
! [SV278: $i,SV1: $i] :
( ( ( ! [SY408: $i] :
( ~ ( in @ SY408 @ SV1 )
| ~ ( in @ SV278 @ SY408 )
| ( in @ SV278 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK127_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1799]) ).
thf(2088,plain,
! [SV1: $i,SV222: $i] :
( ( ( ~ ( ~ ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
| ~ ! [SY354: $i] :
( ~ ( in @ SY354 @ ( sK127_SY8 @ SV1 ) )
| ( SV222 = SY354 )
| ( in @ SV222 @ SY354 ) ) ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1800]) ).
thf(2089,plain,
! [SV115: $i,SV1: $i,SV169: $i] :
( ( ( in @ SV169 @ SV1 )
= $false )
| ( ( ~ ( in @ SV115 @ SV169 )
| ( in @ SV115 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK112_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1801]) ).
thf(2090,plain,
! [SV223: $i,SV1: $i,SV279: $i] :
( ( ( ~ ( in @ SV279 @ SV1 )
| ~ ( in @ SV223 @ SV279 )
| ( in @ SV223 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ( sK112_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1802]) ).
thf(2091,plain,
! [SV1: $i,SV170: $i] :
( ( ( ~ ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
| ~ ! [SY315: $i] :
( ~ ( in @ SY315 @ ( sK112_SY8 @ SV1 ) )
| ( SV170 = SY315 )
| ( in @ SV170 @ SY315 ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1803]) ).
thf(2092,plain,
! [SV116: $i,SV1: $i,SV171: $i] :
( ( ( in @ SV171 @ SV1 )
= $false )
| ( ( ~ ( in @ SV116 @ SV171 )
| ( in @ SV116 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK113_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1804]) ).
thf(2093,plain,
! [SV224: $i,SV1: $i,SV280: $i] :
( ( ( ~ ( in @ SV280 @ SV1 )
| ~ ( in @ SV224 @ SV280 )
| ( in @ SV224 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ( sK113_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1805]) ).
thf(2094,plain,
! [SV1: $i,SV172: $i] :
( ( ( ~ ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
| ~ ! [SY316: $i] :
( ~ ( in @ SY316 @ ( sK113_SY8 @ SV1 ) )
| ( SV172 = SY316 )
| ( in @ SV172 @ SY316 ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1806]) ).
thf(2095,plain,
! [SV117: $i,SV1: $i,SV173: $i] :
( ( ( in @ SV173 @ SV1 )
= $false )
| ( ( ~ ( in @ SV117 @ SV173 )
| ( in @ SV117 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK114_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1807]) ).
thf(2096,plain,
! [SV225: $i,SV1: $i,SV281: $i] :
( ( ( ~ ( in @ SV281 @ SV1 )
| ~ ( in @ SV225 @ SV281 )
| ( in @ SV225 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK114_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1808]) ).
thf(2097,plain,
! [SV1: $i,SV174: $i] :
( ( ( ~ ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
| ~ ! [SY317: $i] :
( ~ ( in @ SY317 @ ( sK114_SY8 @ SV1 ) )
| ( SV174 = SY317 )
| ( in @ SV174 @ SY317 ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1809]) ).
thf(2098,plain,
! [SV118: $i,SV1: $i,SV175: $i] :
( ( ( in @ SV175 @ SV1 )
= $false )
| ( ( ~ ( in @ SV118 @ SV175 )
| ( in @ SV118 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK115_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(2099,plain,
! [SV226: $i,SV1: $i,SV282: $i] :
( ( ( ~ ( in @ SV282 @ SV1 )
| ~ ( in @ SV226 @ SV282 )
| ( in @ SV226 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK115_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1811]) ).
thf(2100,plain,
! [SV1: $i,SV176: $i] :
( ( ( ~ ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
| ~ ! [SY318: $i] :
( ~ ( in @ SY318 @ ( sK115_SY8 @ SV1 ) )
| ( SV176 = SY318 )
| ( in @ SV176 @ SY318 ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1812]) ).
thf(2101,plain,
! [SV227: $i,SV1: $i,SV283: $i] :
( ( ( ~ ( in @ SV283 @ SV1 )
| ~ ( in @ SV227 @ SV283 )
| ( in @ SV227 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK140_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1813]) ).
thf(2102,plain,
! [SV1: $i] :
( ( ( ( sK140_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1814]) ).
thf(2103,plain,
! [SV1: $i,SV284: $i] :
( ( ( ~ ~ ( ~ ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
| ~ ! [SY409: $i] :
( ~ ( in @ SY409 @ ( sK140_SY8 @ SV1 ) )
| ( SV284 = SY409 )
| ( in @ SV284 @ SY409 ) ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1815]) ).
thf(2104,plain,
! [SV228: $i,SV1: $i,SV285: $i] :
( ( ( ~ ( in @ SV285 @ SV1 )
| ~ ( in @ SV228 @ SV285 )
| ( in @ SV228 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK141_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1816]) ).
thf(2105,plain,
! [SV1: $i] :
( ( ( ( sK141_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1817]) ).
thf(2106,plain,
! [SV1: $i,SV286: $i] :
( ( ( ~ ~ ( ~ ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
| ~ ! [SY410: $i] :
( ~ ( in @ SY410 @ ( sK141_SY8 @ SV1 ) )
| ( SV286 = SY410 )
| ( in @ SV286 @ SY410 ) ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(2107,plain,
! [SV287: $i,SV1: $i] :
( ( ( ! [SY411: $i] :
( ~ ( in @ SY411 @ SV1 )
| ~ ( in @ SV287 @ SY411 )
| ( in @ SV287 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK164_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1819]) ).
thf(2108,plain,
! [SV1: $i] :
( ( ( ( ( sK164_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1820]) ).
thf(2109,plain,
! [SV1: $i] :
( ( ( ! [SY263: $i] :
~ ~ ( ~ ( in @ SY263 @ ( sK164_SY8 @ SV1 ) )
| ~ ! [SY264: $i] :
( ~ ( in @ SY264 @ ( sK164_SY8 @ SV1 ) )
| ( SY263 = SY264 )
| ( in @ SY263 @ SY264 ) ) ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1821]) ).
thf(2110,plain,
! [SV288: $i,SV1: $i] :
( ( ( ! [SY412: $i] :
( ~ ( in @ SY412 @ SV1 )
| ~ ( in @ SV288 @ SY412 )
| ( in @ SV288 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK165_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1822]) ).
thf(2111,plain,
! [SV1: $i] :
( ( ( ( ( sK165_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1823]) ).
thf(2112,plain,
! [SV1: $i] :
( ( ( ! [SY265: $i] :
~ ~ ( ~ ( in @ SY265 @ ( sK165_SY8 @ SV1 ) )
| ~ ! [SY266: $i] :
( ~ ( in @ SY266 @ ( sK165_SY8 @ SV1 ) )
| ( SY265 = SY266 )
| ( in @ SY265 @ SY266 ) ) ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1824]) ).
thf(2113,plain,
! [SV289: $i,SV1: $i] :
( ( ( ! [SY413: $i] :
( ~ ( in @ SY413 @ SV1 )
| ~ ( in @ SV289 @ SY413 )
| ( in @ SV289 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK166_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1825]) ).
thf(2114,plain,
! [SV1: $i] :
( ( ( ( ( sK166_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1826]) ).
thf(2115,plain,
! [SV1: $i] :
( ( ( ! [SY267: $i] :
~ ~ ( ~ ( in @ SY267 @ ( sK166_SY8 @ SV1 ) )
| ~ ! [SY268: $i] :
( ~ ( in @ SY268 @ ( sK166_SY8 @ SV1 ) )
| ( SY267 = SY268 )
| ( in @ SY267 @ SY268 ) ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1827]) ).
thf(2116,plain,
! [SV290: $i,SV1: $i] :
( ( ( ! [SY414: $i] :
( ~ ( in @ SY414 @ SV1 )
| ~ ( in @ SV290 @ SY414 )
| ( in @ SV290 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK167_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1828]) ).
thf(2117,plain,
! [SV1: $i] :
( ( ( ( ( sK167_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1829]) ).
thf(2118,plain,
! [SV1: $i] :
( ( ( ! [SY269: $i] :
~ ~ ( ~ ( in @ SY269 @ ( sK167_SY8 @ SV1 ) )
| ~ ! [SY270: $i] :
( ~ ( in @ SY270 @ ( sK167_SY8 @ SV1 ) )
| ( SY269 = SY270 )
| ( in @ SY269 @ SY270 ) ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1830]) ).
thf(2119,plain,
! [SV229: $i,SV1: $i,SV291: $i] :
( ( ( ~ ( in @ SV291 @ SV1 )
| ~ ( in @ SV229 @ SV291 )
| ( in @ SV229 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK142_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1831]) ).
thf(2120,plain,
! [SV1: $i] :
( ( ( ( sK142_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1832]) ).
thf(2121,plain,
! [SV1: $i,SV292: $i] :
( ( ( ~ ~ ( ~ ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
| ~ ! [SY415: $i] :
( ~ ( in @ SY415 @ ( sK142_SY8 @ SV1 ) )
| ( SV292 = SY415 )
| ( in @ SV292 @ SY415 ) ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1833]) ).
thf(2122,plain,
! [SV230: $i,SV1: $i,SV293: $i] :
( ( ( ~ ( in @ SV293 @ SV1 )
| ~ ( in @ SV230 @ SV293 )
| ( in @ SV230 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK143_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1834]) ).
thf(2123,plain,
! [SV1: $i] :
( ( ( ( sK143_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1835]) ).
thf(2124,plain,
! [SV1: $i,SV294: $i] :
( ( ( ~ ~ ( ~ ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
| ~ ! [SY416: $i] :
( ~ ( in @ SY416 @ ( sK143_SY8 @ SV1 ) )
| ( SV294 = SY416 )
| ( in @ SV294 @ SY416 ) ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1836]) ).
thf(2125,plain,
! [SV1: $i] :
( ( ( in @ ( sK180_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1837]) ).
thf(2126,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK180_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1838]) ).
thf(2127,plain,
! [SV1: $i] :
( ( ( ~ ! [SY319: $i] :
~ ~ ( ~ ( in @ SY319 @ ( sK180_SY8 @ SV1 ) )
| ~ ! [SY320: $i] :
( ~ ( in @ SY320 @ ( sK180_SY8 @ SV1 ) )
| ( SY319 = SY320 )
| ( in @ SY319 @ SY320 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1838]) ).
thf(2128,plain,
! [SV1: $i] :
( ( ( in @ ( sK181_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1839]) ).
thf(2129,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK181_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1840]) ).
thf(2130,plain,
! [SV1: $i] :
( ( ( ~ ! [SY321: $i] :
~ ~ ( ~ ( in @ SY321 @ ( sK181_SY8 @ SV1 ) )
| ~ ! [SY322: $i] :
( ~ ( in @ SY322 @ ( sK181_SY8 @ SV1 ) )
| ( SY321 = SY322 )
| ( in @ SY321 @ SY322 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1840]) ).
thf(2131,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK196_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK196_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY417: $i] :
~ ~ ( ~ ( in @ SY417 @ ( sK196_SY8 @ SV1 ) )
| ~ ! [SY418: $i] :
( ~ ( in @ SY418 @ ( sK196_SY8 @ SV1 ) )
| ( SY417 = SY418 )
| ( in @ SY417 @ SY418 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1841]) ).
thf(2132,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK197_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK197_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY419: $i] :
~ ~ ( ~ ( in @ SY419 @ ( sK197_SY8 @ SV1 ) )
| ~ ! [SY420: $i] :
( ~ ( in @ SY420 @ ( sK197_SY8 @ SV1 ) )
| ( SY419 = SY420 )
| ( in @ SY419 @ SY420 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1842]) ).
thf(2133,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1843]) ).
thf(2134,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1844]) ).
thf(2135,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(2136,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1846]) ).
thf(2137,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK198_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK198_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY421: $i] :
~ ~ ( ~ ( in @ SY421 @ ( sK198_SY8 @ SV1 ) )
| ~ ! [SY422: $i] :
( ~ ( in @ SY422 @ ( sK198_SY8 @ SV1 ) )
| ( SY421 = SY422 )
| ( in @ SY421 @ SY422 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1847]) ).
thf(2138,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK199_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK199_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY423: $i] :
~ ~ ( ~ ( in @ SY423 @ ( sK199_SY8 @ SV1 ) )
| ~ ! [SY424: $i] :
( ~ ( in @ SY424 @ ( sK199_SY8 @ SV1 ) )
| ( SY423 = SY424 )
| ( in @ SY423 @ SY424 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1848]) ).
thf(2139,plain,
! [SV1: $i] :
( ( ( in @ ( sK182_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1849]) ).
thf(2140,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK182_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1850]) ).
thf(2141,plain,
! [SV1: $i] :
( ( ( ~ ! [SY323: $i] :
~ ~ ( ~ ( in @ SY323 @ ( sK182_SY8 @ SV1 ) )
| ~ ! [SY324: $i] :
( ~ ( in @ SY324 @ ( sK182_SY8 @ SV1 ) )
| ( SY323 = SY324 )
| ( in @ SY323 @ SY324 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1850]) ).
thf(2142,plain,
! [SV1: $i] :
( ( ( in @ ( sK183_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1851]) ).
thf(2143,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK183_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1852]) ).
thf(2144,plain,
! [SV1: $i] :
( ( ( ~ ! [SY325: $i] :
~ ~ ( ~ ( in @ SY325 @ ( sK183_SY8 @ SV1 ) )
| ~ ! [SY326: $i] :
( ~ ( in @ SY326 @ ( sK183_SY8 @ SV1 ) )
| ( SY325 = SY326 )
| ( in @ SY325 @ SY326 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1852]) ).
thf(2145,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK200_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK200_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY425: $i] :
~ ~ ( ~ ( in @ SY425 @ ( sK200_SY8 @ SV1 ) )
| ~ ! [SY426: $i] :
( ~ ( in @ SY426 @ ( sK200_SY8 @ SV1 ) )
| ( SY425 = SY426 )
| ( in @ SY425 @ SY426 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1853]) ).
thf(2146,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK201_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK201_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY427: $i] :
~ ~ ( ~ ( in @ SY427 @ ( sK201_SY8 @ SV1 ) )
| ~ ! [SY428: $i] :
( ~ ( in @ SY428 @ ( sK201_SY8 @ SV1 ) )
| ( SY427 = SY428 )
| ( in @ SY427 @ SY428 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1854]) ).
thf(2147,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1855]) ).
thf(2148,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1856]) ).
thf(2149,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(2150,plain,
! [SV1: $i] :
( ( ( ! [SY8: $i] :
( ~ ( in @ SY8 @ ( powerset @ SV1 ) )
| ~ ( ( SY8 != emptyset ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( in @ SX2 @ SY8 )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY8 )
| ( SX2 = SX3 )
| ( in @ SX2 @ SX3 ) ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1858]) ).
thf(2151,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK202_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK202_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY429: $i] :
~ ~ ( ~ ( in @ SY429 @ ( sK202_SY8 @ SV1 ) )
| ~ ! [SY430: $i] :
( ~ ( in @ SY430 @ ( sK202_SY8 @ SV1 ) )
| ( SY429 = SY430 )
| ( in @ SY429 @ SY430 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1859]) ).
thf(2152,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK203_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK203_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY431: $i] :
~ ~ ( ~ ( in @ SY431 @ ( sK203_SY8 @ SV1 ) )
| ~ ! [SY432: $i] :
( ~ ( in @ SY432 @ ( sK203_SY8 @ SV1 ) )
| ( SY431 = SY432 )
| ( in @ SY431 @ SY432 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1860]) ).
thf(2153,plain,
! [SV119: $i,SV1: $i,SV177: $i] :
( ( ( in @ SV177 @ SV1 )
= $false )
| ( ( ~ ( in @ SV119 @ SV177 )
| ( in @ SV119 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK118_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1861]) ).
thf(2154,plain,
! [SV231: $i,SV1: $i,SV295: $i] :
( ( ( ~ ( in @ SV295 @ SV1 )
| ~ ( in @ SV231 @ SV295 )
| ( in @ SV231 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK118_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1862]) ).
thf(2155,plain,
! [SV1: $i,SV178: $i] :
( ( ( ~ ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
| ~ ! [SY327: $i] :
( ~ ( in @ SY327 @ ( sK118_SY8 @ SV1 ) )
| ( SV178 = SY327 )
| ( in @ SV178 @ SY327 ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1863]) ).
thf(2156,plain,
! [SV120: $i,SV1: $i,SV179: $i] :
( ( ( in @ SV179 @ SV1 )
= $false )
| ( ( ~ ( in @ SV120 @ SV179 )
| ( in @ SV120 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK119_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1864]) ).
thf(2157,plain,
! [SV232: $i,SV1: $i,SV296: $i] :
( ( ( ~ ( in @ SV296 @ SV1 )
| ~ ( in @ SV232 @ SV296 )
| ( in @ SV232 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK119_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1865]) ).
thf(2158,plain,
! [SV1: $i,SV180: $i] :
( ( ( ~ ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
| ~ ! [SY328: $i] :
( ~ ( in @ SY328 @ ( sK119_SY8 @ SV1 ) )
| ( SV180 = SY328 )
| ( in @ SV180 @ SY328 ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1866]) ).
thf(2159,plain,
! [SV233: $i,SV1: $i,SV297: $i] :
( ( ( ~ ( in @ SV297 @ SV1 )
| ~ ( in @ SV233 @ SV297 )
| ( in @ SV233 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK148_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1867]) ).
thf(2160,plain,
! [SV1: $i] :
( ( ( ( sK148_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1868]) ).
thf(2161,plain,
! [SV1: $i,SV298: $i] :
( ( ( ~ ~ ( ~ ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
| ~ ! [SY433: $i] :
( ~ ( in @ SY433 @ ( sK148_SY8 @ SV1 ) )
| ( SV298 = SY433 )
| ( in @ SV298 @ SY433 ) ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1869]) ).
thf(2162,plain,
! [SV234: $i,SV1: $i,SV299: $i] :
( ( ( ~ ( in @ SV299 @ SV1 )
| ~ ( in @ SV234 @ SV299 )
| ( in @ SV234 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK149_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1870]) ).
thf(2163,plain,
! [SV1: $i] :
( ( ( ( sK149_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1871]) ).
thf(2164,plain,
! [SV1: $i,SV300: $i] :
( ( ( ~ ~ ( ~ ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
| ~ ! [SY434: $i] :
( ~ ( in @ SY434 @ ( sK149_SY8 @ SV1 ) )
| ( SV300 = SY434 )
| ( in @ SV300 @ SY434 ) ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1872]) ).
thf(2165,plain,
! [SV301: $i,SV1: $i] :
( ( ( ! [SY435: $i] :
( ~ ( in @ SY435 @ SV1 )
| ~ ( in @ SV301 @ SY435 )
| ( in @ SV301 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK172_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1873]) ).
thf(2166,plain,
! [SV1: $i] :
( ( ( ( ( sK172_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1874]) ).
thf(2167,plain,
! [SV1: $i] :
( ( ( ! [SY273: $i] :
~ ~ ( ~ ( in @ SY273 @ ( sK172_SY8 @ SV1 ) )
| ~ ! [SY274: $i] :
( ~ ( in @ SY274 @ ( sK172_SY8 @ SV1 ) )
| ( SY273 = SY274 )
| ( in @ SY273 @ SY274 ) ) ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1875]) ).
thf(2168,plain,
! [SV302: $i,SV1: $i] :
( ( ( ! [SY436: $i] :
( ~ ( in @ SY436 @ SV1 )
| ~ ( in @ SV302 @ SY436 )
| ( in @ SV302 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK173_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1876]) ).
thf(2169,plain,
! [SV1: $i] :
( ( ( ( ( sK173_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1877]) ).
thf(2170,plain,
! [SV1: $i] :
( ( ( ! [SY275: $i] :
~ ~ ( ~ ( in @ SY275 @ ( sK173_SY8 @ SV1 ) )
| ~ ! [SY276: $i] :
( ~ ( in @ SY276 @ ( sK173_SY8 @ SV1 ) )
| ( SY275 = SY276 )
| ( in @ SY275 @ SY276 ) ) ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1878]) ).
thf(2171,plain,
! [SV303: $i,SV1: $i] :
( ( ( ! [SY437: $i] :
( ~ ( in @ SY437 @ SV1 )
| ~ ( in @ SV303 @ SY437 )
| ( in @ SV303 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK174_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1879]) ).
thf(2172,plain,
! [SV1: $i] :
( ( ( ( ( sK174_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1880]) ).
thf(2173,plain,
! [SV1: $i] :
( ( ( ! [SY277: $i] :
~ ~ ( ~ ( in @ SY277 @ ( sK174_SY8 @ SV1 ) )
| ~ ! [SY278: $i] :
( ~ ( in @ SY278 @ ( sK174_SY8 @ SV1 ) )
| ( SY277 = SY278 )
| ( in @ SY277 @ SY278 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1881]) ).
thf(2174,plain,
! [SV304: $i,SV1: $i] :
( ( ( ! [SY438: $i] :
( ~ ( in @ SY438 @ SV1 )
| ~ ( in @ SV304 @ SY438 )
| ( in @ SV304 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK175_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1882]) ).
thf(2175,plain,
! [SV1: $i] :
( ( ( ( ( sK175_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1883]) ).
thf(2176,plain,
! [SV1: $i] :
( ( ( ! [SY279: $i] :
~ ~ ( ~ ( in @ SY279 @ ( sK175_SY8 @ SV1 ) )
| ~ ! [SY280: $i] :
( ~ ( in @ SY280 @ ( sK175_SY8 @ SV1 ) )
| ( SY279 = SY280 )
| ( in @ SY279 @ SY280 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1884]) ).
thf(2177,plain,
! [SV235: $i,SV1: $i,SV305: $i] :
( ( ( ~ ( in @ SV305 @ SV1 )
| ~ ( in @ SV235 @ SV305 )
| ( in @ SV235 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK150_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1885]) ).
thf(2178,plain,
! [SV1: $i] :
( ( ( ( sK150_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1886]) ).
thf(2179,plain,
! [SV1: $i,SV306: $i] :
( ( ( ~ ~ ( ~ ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
| ~ ! [SY439: $i] :
( ~ ( in @ SY439 @ ( sK150_SY8 @ SV1 ) )
| ( SV306 = SY439 )
| ( in @ SV306 @ SY439 ) ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1887]) ).
thf(2180,plain,
! [SV236: $i,SV1: $i,SV307: $i] :
( ( ( ~ ( in @ SV307 @ SV1 )
| ~ ( in @ SV236 @ SV307 )
| ( in @ SV236 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK151_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1888]) ).
thf(2181,plain,
! [SV1: $i] :
( ( ( ( sK151_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1889]) ).
thf(2182,plain,
! [SV1: $i,SV308: $i] :
( ( ( ~ ~ ( ~ ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
| ~ ! [SY440: $i] :
( ~ ( in @ SY440 @ ( sK151_SY8 @ SV1 ) )
| ( SV308 = SY440 )
| ( in @ SV308 @ SY440 ) ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1890]) ).
thf(2183,plain,
! [SV1: $i,SV18: $i] :
( ( ( ~ ( in @ ( sK184_SY93 @ SV18 @ SV1 ) @ ( sK40_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1892]) ).
thf(2184,plain,
! [SV1: $i,SV18: $i] :
( ( ( ( SV18
= ( sK184_SY93 @ SV18 @ SV1 ) )
| ( in @ SV18 @ ( sK184_SY93 @ SV18 @ SV1 ) ) )
= $false )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1892]) ).
thf(2185,plain,
! [SV1: $i,SV20: $i] :
( ( ( ~ ( in @ ( sK185_SY94 @ SV20 @ SV1 ) @ ( sK41_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1894]) ).
thf(2186,plain,
! [SV1: $i,SV20: $i] :
( ( ( ( SV20
= ( sK185_SY94 @ SV20 @ SV1 ) )
| ( in @ SV20 @ ( sK185_SY94 @ SV20 @ SV1 ) ) )
= $false )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1894]) ).
thf(2187,plain,
! [SV1: $i,SV121: $i,SV77: $i] :
( ( ( ~ ( in @ SV77 @ SV121 ) )
= $true )
| ( ( in @ SV77 @ SV1 )
= $true )
| ( ( in @ SV121 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK60_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1896]) ).
thf(2188,plain,
! [SV44: $i,SV1: $i] :
( ( ( ! [SY161: $i] :
( ~ ( in @ SY161 @ ( sK60_SY8 @ SV1 ) )
| ( SV44 = SY161 )
| ( in @ SV44 @ SY161 ) ) )
= $false )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1897]) ).
thf(2189,plain,
! [SV1: $i,SV122: $i,SV78: $i] :
( ( ( ~ ( in @ SV78 @ SV122 ) )
= $true )
| ( ( in @ SV78 @ SV1 )
= $true )
| ( ( in @ SV122 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK61_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1899]) ).
thf(2190,plain,
! [SV46: $i,SV1: $i] :
( ( ( ! [SY162: $i] :
( ~ ( in @ SY162 @ ( sK61_SY8 @ SV1 ) )
| ( SV46 = SY162 )
| ( in @ SV46 @ SY162 ) ) )
= $false )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1900]) ).
thf(2191,plain,
! [SV1: $i,SV79: $i,SV47: $i] :
( ( ( in @ SV47 @ SV79 )
= $false )
| ( ( in @ SV47 @ SV1 )
= $true )
| ( ( in @ SV79 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK84_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1901]) ).
thf(2192,plain,
! [SV123: $i,SV1: $i,SV181: $i] :
( ( ( in @ SV181 @ SV1 )
= $false )
| ( ( ~ ( in @ SV123 @ SV181 )
| ( in @ SV123 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK84_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1902]) ).
thf(2193,plain,
! [SV1: $i,SV80: $i] :
( ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY215: $i] :
( ~ ( in @ SY215 @ ( sK84_SY8 @ SV1 ) )
| ( SV80 = SY215 )
| ( in @ SV80 @ SY215 ) ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1903]) ).
thf(2194,plain,
! [SV1: $i,SV81: $i,SV48: $i] :
( ( ( in @ SV48 @ SV81 )
= $false )
| ( ( in @ SV48 @ SV1 )
= $true )
| ( ( in @ SV81 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK85_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1904]) ).
thf(2195,plain,
! [SV124: $i,SV1: $i,SV182: $i] :
( ( ( in @ SV182 @ SV1 )
= $false )
| ( ( ~ ( in @ SV124 @ SV182 )
| ( in @ SV124 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK85_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1905]) ).
thf(2196,plain,
! [SV1: $i,SV82: $i] :
( ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY216: $i] :
( ~ ( in @ SY216 @ ( sK85_SY8 @ SV1 ) )
| ( SV82 = SY216 )
| ( in @ SV82 @ SY216 ) ) )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1906]) ).
thf(2197,plain,
! [SV1: $i,SV83: $i,SV49: $i] :
( ( ( in @ SV49 @ SV83 )
= $false )
| ( ( in @ SV49 @ SV1 )
= $true )
| ( ( in @ SV83 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK86_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1907]) ).
thf(2198,plain,
! [SV125: $i,SV1: $i,SV183: $i] :
( ( ( in @ SV183 @ SV1 )
= $false )
| ( ( ~ ( in @ SV125 @ SV183 )
| ( in @ SV125 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK86_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1908]) ).
thf(2199,plain,
! [SV1: $i,SV84: $i] :
( ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY217: $i] :
( ~ ( in @ SY217 @ ( sK86_SY8 @ SV1 ) )
| ( SV84 = SY217 )
| ( in @ SV84 @ SY217 ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(2200,plain,
! [SV1: $i,SV85: $i,SV50: $i] :
( ( ( in @ SV50 @ SV85 )
= $false )
| ( ( in @ SV50 @ SV1 )
= $true )
| ( ( in @ SV85 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK87_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1910]) ).
thf(2201,plain,
! [SV126: $i,SV1: $i,SV184: $i] :
( ( ( in @ SV184 @ SV1 )
= $false )
| ( ( ~ ( in @ SV126 @ SV184 )
| ( in @ SV126 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK87_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1911]) ).
thf(2202,plain,
! [SV1: $i,SV86: $i] :
( ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY218: $i] :
( ~ ( in @ SY218 @ ( sK87_SY8 @ SV1 ) )
| ( SV86 = SY218 )
| ( in @ SV86 @ SY218 ) ) )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1912]) ).
thf(2203,plain,
! [SV1: $i,SV127: $i,SV87: $i] :
( ( ( ~ ( in @ SV87 @ SV127 ) )
= $true )
| ( ( in @ SV87 @ SV1 )
= $true )
| ( ( in @ SV127 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ( sK62_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1914]) ).
thf(2204,plain,
! [SV52: $i,SV1: $i] :
( ( ( ! [SY167: $i] :
( ~ ( in @ SY167 @ ( sK62_SY8 @ SV1 ) )
| ( SV52 = SY167 )
| ( in @ SV52 @ SY167 ) ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1915]) ).
thf(2205,plain,
! [SV1: $i,SV128: $i,SV88: $i] :
( ( ( ~ ( in @ SV88 @ SV128 ) )
= $true )
| ( ( in @ SV88 @ SV1 )
= $true )
| ( ( in @ SV128 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ( sK63_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1917]) ).
thf(2206,plain,
! [SV54: $i,SV1: $i] :
( ( ( ! [SY168: $i] :
( ~ ( in @ SY168 @ ( sK63_SY8 @ SV1 ) )
| ( SV54 = SY168 )
| ( in @ SV54 @ SY168 ) ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1918]) ).
thf(2207,plain,
! [SV1: $i,SV129: $i,SV89: $i] :
( ( ( ~ ( in @ SV89 @ SV129 ) )
= $true )
| ( ( in @ SV89 @ SV1 )
= $true )
| ( ( in @ SV129 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK64_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1920]) ).
thf(2208,plain,
! [SV56: $i,SV1: $i] :
( ( ( ! [SY169: $i] :
( ~ ( in @ SY169 @ ( sK64_SY8 @ SV1 ) )
| ( SV56 = SY169 )
| ( in @ SV56 @ SY169 ) ) )
= $false )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1921]) ).
thf(2209,plain,
! [SV1: $i,SV130: $i,SV90: $i] :
( ( ( ~ ( in @ SV90 @ SV130 ) )
= $true )
| ( ( in @ SV90 @ SV1 )
= $true )
| ( ( in @ SV130 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK65_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1923]) ).
thf(2210,plain,
! [SV58: $i,SV1: $i] :
( ( ( ! [SY170: $i] :
( ~ ( in @ SY170 @ ( sK65_SY8 @ SV1 ) )
| ( SV58 = SY170 )
| ( in @ SV58 @ SY170 ) ) )
= $false )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1924]) ).
thf(2211,plain,
! [SV1: $i,SV131: $i,SV91: $i] :
( ( ( ~ ( in @ SV91 @ SV131 ) )
= $true )
| ( ( in @ SV91 @ SV1 )
= $true )
| ( ( in @ SV131 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK100_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1925]) ).
thf(2212,plain,
! [SV185: $i,SV1: $i,SV237: $i] :
( ( ( ~ ( in @ SV237 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV185 @ SV237 )
| ( in @ SV185 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK100_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1926]) ).
thf(2213,plain,
! [SV1: $i,SV132: $i] :
( ( ( ~ ( in @ SV132 @ ( sK100_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY285: $i] :
( ~ ( in @ SY285 @ ( sK100_SY8 @ SV1 ) )
| ( SV132 = SY285 )
| ( in @ SV132 @ SY285 ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1927]) ).
thf(2214,plain,
! [SV1: $i,SV133: $i,SV92: $i] :
( ( ( ~ ( in @ SV92 @ SV133 ) )
= $true )
| ( ( in @ SV92 @ SV1 )
= $true )
| ( ( in @ SV133 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK101_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1928]) ).
thf(2215,plain,
! [SV186: $i,SV1: $i,SV238: $i] :
( ( ( ~ ( in @ SV238 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV186 @ SV238 )
| ( in @ SV186 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK101_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1929]) ).
thf(2216,plain,
! [SV1: $i,SV134: $i] :
( ( ( ~ ( in @ SV134 @ ( sK101_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY286: $i] :
( ~ ( in @ SY286 @ ( sK101_SY8 @ SV1 ) )
| ( SV134 = SY286 )
| ( in @ SV134 @ SY286 ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1930]) ).
thf(2217,plain,
! [SV135: $i,SV1: $i,SV187: $i] :
( ( ( in @ SV187 @ SV1 )
= $false )
| ( ( ~ ( in @ SV135 @ SV187 )
| ( in @ SV135 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK120_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1931]) ).
thf(2218,plain,
! [SV239: $i,SV1: $i,SV309: $i] :
( ( ( ~ ( in @ SV309 @ SV1 )
| ~ ( in @ SV239 @ SV309 )
| ( in @ SV239 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK120_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1932]) ).
thf(2219,plain,
! [SV1: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
| ~ ! [SY331: $i] :
( ~ ( in @ SY331 @ ( sK120_SY8 @ SV1 ) )
| ( SV188 = SY331 )
| ( in @ SV188 @ SY331 ) ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1933]) ).
thf(2220,plain,
! [SV136: $i,SV1: $i,SV189: $i] :
( ( ( in @ SV189 @ SV1 )
= $false )
| ( ( ~ ( in @ SV136 @ SV189 )
| ( in @ SV136 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK121_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1934]) ).
thf(2221,plain,
! [SV240: $i,SV1: $i,SV310: $i] :
( ( ( ~ ( in @ SV310 @ SV1 )
| ~ ( in @ SV240 @ SV310 )
| ( in @ SV240 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK121_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1935]) ).
thf(2222,plain,
! [SV1: $i,SV190: $i] :
( ( ( ~ ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
| ~ ! [SY332: $i] :
( ~ ( in @ SY332 @ ( sK121_SY8 @ SV1 ) )
| ( SV190 = SY332 )
| ( in @ SV190 @ SY332 ) ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1936]) ).
thf(2223,plain,
! [SV137: $i,SV1: $i,SV191: $i] :
( ( ( in @ SV191 @ SV1 )
= $false )
| ( ( ~ ( in @ SV137 @ SV191 )
| ( in @ SV137 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK122_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1937]) ).
thf(2224,plain,
! [SV241: $i,SV1: $i,SV311: $i] :
( ( ( ~ ( in @ SV311 @ SV1 )
| ~ ( in @ SV241 @ SV311 )
| ( in @ SV241 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK122_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1938]) ).
thf(2225,plain,
! [SV1: $i,SV192: $i] :
( ( ( ~ ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
| ~ ! [SY333: $i] :
( ~ ( in @ SY333 @ ( sK122_SY8 @ SV1 ) )
| ( SV192 = SY333 )
| ( in @ SV192 @ SY333 ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1939]) ).
thf(2226,plain,
! [SV138: $i,SV1: $i,SV193: $i] :
( ( ( in @ SV193 @ SV1 )
= $false )
| ( ( ~ ( in @ SV138 @ SV193 )
| ( in @ SV138 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK123_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1940]) ).
thf(2227,plain,
! [SV242: $i,SV1: $i,SV312: $i] :
( ( ( ~ ( in @ SV312 @ SV1 )
| ~ ( in @ SV242 @ SV312 )
| ( in @ SV242 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK123_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1941]) ).
thf(2228,plain,
! [SV1: $i,SV194: $i] :
( ( ( ~ ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
| ~ ! [SY334: $i] :
( ~ ( in @ SY334 @ ( sK123_SY8 @ SV1 ) )
| ( SV194 = SY334 )
| ( in @ SV194 @ SY334 ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1942]) ).
thf(2229,plain,
! [SV1: $i,SV139: $i,SV93: $i] :
( ( ( ~ ( in @ SV93 @ SV139 ) )
= $true )
| ( ( in @ SV93 @ SV1 )
= $true )
| ( ( in @ SV139 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK102_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1943]) ).
thf(2230,plain,
! [SV195: $i,SV1: $i,SV243: $i] :
( ( ( ~ ( in @ SV243 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV195 @ SV243 )
| ( in @ SV195 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ( sK102_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1944]) ).
thf(2231,plain,
! [SV1: $i,SV140: $i] :
( ( ( ~ ( in @ SV140 @ ( sK102_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY291: $i] :
( ~ ( in @ SY291 @ ( sK102_SY8 @ SV1 ) )
| ( SV140 = SY291 )
| ( in @ SV140 @ SY291 ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1945]) ).
thf(2232,plain,
! [SV1: $i,SV141: $i,SV94: $i] :
( ( ( ~ ( in @ SV94 @ SV141 ) )
= $true )
| ( ( in @ SV94 @ SV1 )
= $true )
| ( ( in @ SV141 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK103_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1946]) ).
thf(2233,plain,
! [SV196: $i,SV1: $i,SV244: $i] :
( ( ( ~ ( in @ SV244 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV196 @ SV244 )
| ( in @ SV196 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ( sK103_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1947]) ).
thf(2234,plain,
! [SV1: $i,SV142: $i] :
( ( ( ~ ( in @ SV142 @ ( sK103_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY292: $i] :
( ~ ( in @ SY292 @ ( sK103_SY8 @ SV1 ) )
| ( SV142 = SY292 )
| ( in @ SV142 @ SY292 ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1948]) ).
thf(2235,plain,
! [SV1: $i,SV143: $i,SV95: $i] :
( ( ( ~ ( in @ SV95 @ SV143 ) )
= $true )
| ( ( in @ SV95 @ SV1 )
= $true )
| ( ( in @ SV143 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK104_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1949]) ).
thf(2236,plain,
! [SV197: $i,SV1: $i,SV245: $i] :
( ( ( ~ ( in @ SV245 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV197 @ SV245 )
| ( in @ SV197 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK104_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1950]) ).
thf(2237,plain,
! [SV1: $i,SV144: $i] :
( ( ( ~ ( in @ SV144 @ ( sK104_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY293: $i] :
( ~ ( in @ SY293 @ ( sK104_SY8 @ SV1 ) )
| ( SV144 = SY293 )
| ( in @ SV144 @ SY293 ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1951]) ).
thf(2238,plain,
! [SV1: $i,SV145: $i,SV96: $i] :
( ( ( ~ ( in @ SV96 @ SV145 ) )
= $true )
| ( ( in @ SV96 @ SV1 )
= $true )
| ( ( in @ SV145 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK105_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1952]) ).
thf(2239,plain,
! [SV198: $i,SV1: $i,SV246: $i] :
( ( ( ~ ( in @ SV246 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV198 @ SV246 )
| ( in @ SV198 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK105_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1953]) ).
thf(2240,plain,
! [SV1: $i,SV146: $i] :
( ( ( ~ ( in @ SV146 @ ( sK105_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY294: $i] :
( ~ ( in @ SY294 @ ( sK105_SY8 @ SV1 ) )
| ( SV146 = SY294 )
| ( in @ SV146 @ SY294 ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1954]) ).
thf(2241,plain,
! [SV199: $i,SV1: $i,SV247: $i] :
( ( ( ~ ( in @ SV247 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV199 @ SV247 )
| ( in @ SV199 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK128_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1955]) ).
thf(2242,plain,
! [SV313: $i,SV1: $i] :
( ( ( ! [SY441: $i] :
( ~ ( in @ SY441 @ SV1 )
| ~ ( in @ SV313 @ SY441 )
| ( in @ SV313 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK128_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1956]) ).
thf(2243,plain,
! [SV1: $i,SV248: $i] :
( ( ( ~ ( ~ ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
| ~ ! [SY373: $i] :
( ~ ( in @ SY373 @ ( sK128_SY8 @ SV1 ) )
| ( SV248 = SY373 )
| ( in @ SV248 @ SY373 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1957]) ).
thf(2244,plain,
! [SV200: $i,SV1: $i,SV249: $i] :
( ( ( ~ ( in @ SV249 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV200 @ SV249 )
| ( in @ SV200 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK129_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1958]) ).
thf(2245,plain,
! [SV314: $i,SV1: $i] :
( ( ( ! [SY442: $i] :
( ~ ( in @ SY442 @ SV1 )
| ~ ( in @ SV314 @ SY442 )
| ( in @ SV314 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK129_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1959]) ).
thf(2246,plain,
! [SV1: $i,SV250: $i] :
( ( ( ~ ( ~ ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
| ~ ! [SY374: $i] :
( ~ ( in @ SY374 @ ( sK129_SY8 @ SV1 ) )
| ( SV250 = SY374 )
| ( in @ SV250 @ SY374 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1960]) ).
thf(2247,plain,
! [SV251: $i,SV1: $i,SV315: $i] :
( ( ( ~ ( in @ SV315 @ SV1 )
| ~ ( in @ SV251 @ SV315 )
| ( in @ SV251 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK152_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1961]) ).
thf(2248,plain,
! [SV1: $i] :
( ( ( ( sK152_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1962]) ).
thf(2249,plain,
! [SV1: $i,SV316: $i] :
( ( ( ~ ~ ( ~ ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
| ~ ! [SY443: $i] :
( ~ ( in @ SY443 @ ( sK152_SY8 @ SV1 ) )
| ( SV316 = SY443 )
| ( in @ SV316 @ SY443 ) ) ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1963]) ).
thf(2250,plain,
! [SV252: $i,SV1: $i,SV317: $i] :
( ( ( ~ ( in @ SV317 @ SV1 )
| ~ ( in @ SV252 @ SV317 )
| ( in @ SV252 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK153_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1964]) ).
thf(2251,plain,
! [SV1: $i] :
( ( ( ( sK153_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1965]) ).
thf(2252,plain,
! [SV1: $i,SV318: $i] :
( ( ( ~ ~ ( ~ ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
| ~ ! [SY444: $i] :
( ~ ( in @ SY444 @ ( sK153_SY8 @ SV1 ) )
| ( SV318 = SY444 )
| ( in @ SV318 @ SY444 ) ) ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1966]) ).
thf(2253,plain,
! [SV253: $i,SV1: $i,SV319: $i] :
( ( ( ~ ( in @ SV319 @ SV1 )
| ~ ( in @ SV253 @ SV319 )
| ( in @ SV253 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK154_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1967]) ).
thf(2254,plain,
! [SV1: $i] :
( ( ( ( sK154_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1968]) ).
thf(2255,plain,
! [SV1: $i,SV320: $i] :
( ( ( ~ ~ ( ~ ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
| ~ ! [SY445: $i] :
( ~ ( in @ SY445 @ ( sK154_SY8 @ SV1 ) )
| ( SV320 = SY445 )
| ( in @ SV320 @ SY445 ) ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1969]) ).
thf(2256,plain,
! [SV254: $i,SV1: $i,SV321: $i] :
( ( ( ~ ( in @ SV321 @ SV1 )
| ~ ( in @ SV254 @ SV321 )
| ( in @ SV254 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK155_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1970]) ).
thf(2257,plain,
! [SV1: $i] :
( ( ( ( sK155_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1971]) ).
thf(2258,plain,
! [SV1: $i,SV322: $i] :
( ( ( ~ ~ ( ~ ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
| ~ ! [SY446: $i] :
( ~ ( in @ SY446 @ ( sK155_SY8 @ SV1 ) )
| ( SV322 = SY446 )
| ( in @ SV322 @ SY446 ) ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1972]) ).
thf(2259,plain,
! [SV201: $i,SV1: $i,SV255: $i] :
( ( ( ~ ( in @ SV255 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV201 @ SV255 )
| ( in @ SV201 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK130_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1973]) ).
thf(2260,plain,
! [SV323: $i,SV1: $i] :
( ( ( ! [SY447: $i] :
( ~ ( in @ SY447 @ SV1 )
| ~ ( in @ SV323 @ SY447 )
| ( in @ SV323 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ( sK130_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1974]) ).
thf(2261,plain,
! [SV1: $i,SV256: $i] :
( ( ( ~ ( ~ ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
| ~ ! [SY379: $i] :
( ~ ( in @ SY379 @ ( sK130_SY8 @ SV1 ) )
| ( SV256 = SY379 )
| ( in @ SV256 @ SY379 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1975]) ).
thf(2262,plain,
! [SV202: $i,SV1: $i,SV257: $i] :
( ( ( ~ ( in @ SV257 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV202 @ SV257 )
| ( in @ SV202 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK131_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1976]) ).
thf(2263,plain,
! [SV324: $i,SV1: $i] :
( ( ( ! [SY448: $i] :
( ~ ( in @ SY448 @ SV1 )
| ~ ( in @ SV324 @ SY448 )
| ( in @ SV324 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ( sK131_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1977]) ).
thf(2264,plain,
! [SV1: $i,SV258: $i] :
( ( ( ~ ( ~ ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
| ~ ! [SY380: $i] :
( ~ ( in @ SY380 @ ( sK131_SY8 @ SV1 ) )
| ( SV258 = SY380 )
| ( in @ SV258 @ SY380 ) ) ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1978]) ).
thf(2265,plain,
! [SV325: $i,SV1: $i] :
( ( ( ! [SY449: $i] :
( ~ ( in @ SY449 @ SV1 )
| ~ ( in @ SV325 @ SY449 )
| ( in @ SV325 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK176_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1979]) ).
thf(2266,plain,
! [SV1: $i] :
( ( ( ( ( sK176_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1980]) ).
thf(2267,plain,
! [SV1: $i] :
( ( ( ! [SY295: $i] :
~ ~ ( ~ ( in @ SY295 @ ( sK176_SY8 @ SV1 ) )
| ~ ! [SY296: $i] :
( ~ ( in @ SY296 @ ( sK176_SY8 @ SV1 ) )
| ( SY295 = SY296 )
| ( in @ SY295 @ SY296 ) ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1981]) ).
thf(2268,plain,
! [SV326: $i,SV1: $i] :
( ( ( ! [SY450: $i] :
( ~ ( in @ SY450 @ SV1 )
| ~ ( in @ SV326 @ SY450 )
| ( in @ SV326 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK177_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1982]) ).
thf(2269,plain,
! [SV1: $i] :
( ( ( ( ( sK177_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1983]) ).
thf(2270,plain,
! [SV1: $i] :
( ( ( ! [SY297: $i] :
~ ~ ( ~ ( in @ SY297 @ ( sK177_SY8 @ SV1 ) )
| ~ ! [SY298: $i] :
( ~ ( in @ SY298 @ ( sK177_SY8 @ SV1 ) )
| ( SY297 = SY298 )
| ( in @ SY297 @ SY298 ) ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1984]) ).
thf(2271,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK186_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(2272,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK186_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY381: $i] :
~ ~ ( ~ ( in @ SY381 @ ( sK186_SY8 @ SV1 ) )
| ~ ! [SY382: $i] :
( ~ ( in @ SY382 @ ( sK186_SY8 @ SV1 ) )
| ( SY381 = SY382 )
| ( in @ SY381 @ SY382 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(2273,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK187_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1986]) ).
thf(2274,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK187_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY383: $i] :
~ ~ ( ~ ( in @ SY383 @ ( sK187_SY8 @ SV1 ) )
| ~ ! [SY384: $i] :
( ~ ( in @ SY384 @ ( sK187_SY8 @ SV1 ) )
| ( SY383 = SY384 )
| ( in @ SY383 @ SY384 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1986]) ).
thf(2275,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK204_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK204_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY451: $i] :
~ ~ ( ~ ( in @ SY451 @ ( sK204_SY8 @ SV1 ) )
| ~ ! [SY452: $i] :
( ~ ( in @ SY452 @ ( sK204_SY8 @ SV1 ) )
| ( SY451 = SY452 )
| ( in @ SY451 @ SY452 ) ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1987]) ).
thf(2276,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK205_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK205_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY453: $i] :
~ ~ ( ~ ( in @ SY453 @ ( sK205_SY8 @ SV1 ) )
| ~ ! [SY454: $i] :
( ~ ( in @ SY454 @ ( sK205_SY8 @ SV1 ) )
| ( SY453 = SY454 )
| ( in @ SY453 @ SY454 ) ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1988]) ).
thf(2277,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK206_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK206_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY455: $i] :
~ ~ ( ~ ( in @ SY455 @ ( sK206_SY8 @ SV1 ) )
| ~ ! [SY456: $i] :
( ~ ( in @ SY456 @ ( sK206_SY8 @ SV1 ) )
| ( SY455 = SY456 )
| ( in @ SY455 @ SY456 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1989]) ).
thf(2278,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK207_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK207_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY457: $i] :
~ ~ ( ~ ( in @ SY457 @ ( sK207_SY8 @ SV1 ) )
| ~ ! [SY458: $i] :
( ~ ( in @ SY458 @ ( sK207_SY8 @ SV1 ) )
| ( SY457 = SY458 )
| ( in @ SY457 @ SY458 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1990]) ).
thf(2279,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK188_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1991]) ).
thf(2280,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK188_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY385: $i] :
~ ~ ( ~ ( in @ SY385 @ ( sK188_SY8 @ SV1 ) )
| ~ ! [SY386: $i] :
( ~ ( in @ SY386 @ ( sK188_SY8 @ SV1 ) )
| ( SY385 = SY386 )
| ( in @ SY385 @ SY386 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1991]) ).
thf(2281,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK189_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1992]) ).
thf(2282,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK189_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY387: $i] :
~ ~ ( ~ ( in @ SY387 @ ( sK189_SY8 @ SV1 ) )
| ~ ! [SY388: $i] :
( ~ ( in @ SY388 @ ( sK189_SY8 @ SV1 ) )
| ( SY387 = SY388 )
| ( in @ SY387 @ SY388 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1992]) ).
thf(2283,plain,
! [SV327: $i,SV1: $i] :
( ( ( ! [SY459: $i] :
( ~ ( in @ SY459 @ SV1 )
| ~ ( in @ SV327 @ SY459 )
| ( in @ SV327 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK178_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1993]) ).
thf(2284,plain,
! [SV1: $i] :
( ( ( ( ( sK178_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1994]) ).
thf(2285,plain,
! [SV1: $i] :
( ( ( ! [SY299: $i] :
~ ~ ( ~ ( in @ SY299 @ ( sK178_SY8 @ SV1 ) )
| ~ ! [SY300: $i] :
( ~ ( in @ SY300 @ ( sK178_SY8 @ SV1 ) )
| ( SY299 = SY300 )
| ( in @ SY299 @ SY300 ) ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1995]) ).
thf(2286,plain,
! [SV328: $i,SV1: $i] :
( ( ( ! [SY460: $i] :
( ~ ( in @ SY460 @ SV1 )
| ~ ( in @ SV328 @ SY460 )
| ( in @ SV328 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK179_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1996]) ).
thf(2287,plain,
! [SV1: $i] :
( ( ( ( ( sK179_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1997]) ).
thf(2288,plain,
! [SV1: $i] :
( ( ( ! [SY301: $i] :
~ ~ ( ~ ( in @ SY301 @ ( sK179_SY8 @ SV1 ) )
| ~ ! [SY302: $i] :
( ~ ( in @ SY302 @ ( sK179_SY8 @ SV1 ) )
| ( SY301 = SY302 )
| ( in @ SY301 @ SY302 ) ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1998]) ).
thf(2289,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK190_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1999]) ).
thf(2290,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK190_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY389: $i] :
~ ~ ( ~ ( in @ SY389 @ ( sK190_SY8 @ SV1 ) )
| ~ ! [SY390: $i] :
( ~ ( in @ SY390 @ ( sK190_SY8 @ SV1 ) )
| ( SY389 = SY390 )
| ( in @ SY389 @ SY390 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1999]) ).
thf(2291,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK191_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2292,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK191_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY391: $i] :
~ ~ ( ~ ( in @ SY391 @ ( sK191_SY8 @ SV1 ) )
| ~ ! [SY392: $i] :
( ~ ( in @ SY392 @ ( sK191_SY8 @ SV1 ) )
| ( SY391 = SY392 )
| ( in @ SY391 @ SY392 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2293,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK208_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK208_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY461: $i] :
~ ~ ( ~ ( in @ SY461 @ ( sK208_SY8 @ SV1 ) )
| ~ ! [SY462: $i] :
( ~ ( in @ SY462 @ ( sK208_SY8 @ SV1 ) )
| ( SY461 = SY462 )
| ( in @ SY461 @ SY462 ) ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2001]) ).
thf(2294,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK209_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK209_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY463: $i] :
~ ~ ( ~ ( in @ SY463 @ ( sK209_SY8 @ SV1 ) )
| ~ ! [SY464: $i] :
( ~ ( in @ SY464 @ ( sK209_SY8 @ SV1 ) )
| ( SY463 = SY464 )
| ( in @ SY463 @ SY464 ) ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2002]) ).
thf(2295,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK210_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK210_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY465: $i] :
~ ~ ( ~ ( in @ SY465 @ ( sK210_SY8 @ SV1 ) )
| ~ ! [SY466: $i] :
( ~ ( in @ SY466 @ ( sK210_SY8 @ SV1 ) )
| ( SY465 = SY466 )
| ( in @ SY465 @ SY466 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2003]) ).
thf(2296,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK211_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK211_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY467: $i] :
~ ~ ( ~ ( in @ SY467 @ ( sK211_SY8 @ SV1 ) )
| ~ ! [SY468: $i] :
( ~ ( in @ SY468 @ ( sK211_SY8 @ SV1 ) )
| ( SY467 = SY468 )
| ( in @ SY467 @ SY468 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2004]) ).
thf(2297,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK192_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2005]) ).
thf(2298,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK192_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY393: $i] :
~ ~ ( ~ ( in @ SY393 @ ( sK192_SY8 @ SV1 ) )
| ~ ! [SY394: $i] :
( ~ ( in @ SY394 @ ( sK192_SY8 @ SV1 ) )
| ( SY393 = SY394 )
| ( in @ SY393 @ SY394 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2005]) ).
thf(2299,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK193_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2006]) ).
thf(2300,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK193_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY395: $i] :
~ ~ ( ~ ( in @ SY395 @ ( sK193_SY8 @ SV1 ) )
| ~ ! [SY396: $i] :
( ~ ( in @ SY396 @ ( sK193_SY8 @ SV1 ) )
| ( SY395 = SY396 )
| ( in @ SY395 @ SY396 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2006]) ).
thf(2301,plain,
! [SV1: $i,SV147: $i,SV97: $i] :
( ( ( ~ ( in @ SV97 @ SV147 ) )
= $true )
| ( ( in @ SV97 @ SV1 )
= $true )
| ( ( in @ SV147 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK108_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2007]) ).
thf(2302,plain,
! [SV203: $i,SV1: $i,SV259: $i] :
( ( ( ~ ( in @ SV259 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV203 @ SV259 )
| ( in @ SV203 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK108_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2008]) ).
thf(2303,plain,
! [SV1: $i,SV148: $i] :
( ( ( ~ ( in @ SV148 @ ( sK108_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY303: $i] :
( ~ ( in @ SY303 @ ( sK108_SY8 @ SV1 ) )
| ( SV148 = SY303 )
| ( in @ SV148 @ SY303 ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2009]) ).
thf(2304,plain,
! [SV1: $i,SV149: $i,SV98: $i] :
( ( ( ~ ( in @ SV98 @ SV149 ) )
= $true )
| ( ( in @ SV98 @ SV1 )
= $true )
| ( ( in @ SV149 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK109_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2010]) ).
thf(2305,plain,
! [SV204: $i,SV1: $i,SV260: $i] :
( ( ( ~ ( in @ SV260 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV204 @ SV260 )
| ( in @ SV204 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK109_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2011]) ).
thf(2306,plain,
! [SV1: $i,SV150: $i] :
( ( ( ~ ( in @ SV150 @ ( sK109_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY304: $i] :
( ~ ( in @ SY304 @ ( sK109_SY8 @ SV1 ) )
| ( SV150 = SY304 )
| ( in @ SV150 @ SY304 ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2012]) ).
thf(2307,plain,
! [SV205: $i,SV1: $i,SV261: $i] :
( ( ( ~ ( in @ SV261 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV205 @ SV261 )
| ( in @ SV205 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK136_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2013]) ).
thf(2308,plain,
! [SV329: $i,SV1: $i] :
( ( ( ! [SY469: $i] :
( ~ ( in @ SY469 @ SV1 )
| ~ ( in @ SV329 @ SY469 )
| ( in @ SV329 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK136_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2014]) ).
thf(2309,plain,
! [SV1: $i,SV262: $i] :
( ( ( ~ ( ~ ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
| ~ ! [SY397: $i] :
( ~ ( in @ SY397 @ ( sK136_SY8 @ SV1 ) )
| ( SV262 = SY397 )
| ( in @ SV262 @ SY397 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2015]) ).
thf(2310,plain,
! [SV206: $i,SV1: $i,SV263: $i] :
( ( ( ~ ( in @ SV263 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV206 @ SV263 )
| ( in @ SV206 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK137_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2016]) ).
thf(2311,plain,
! [SV330: $i,SV1: $i] :
( ( ( ! [SY470: $i] :
( ~ ( in @ SY470 @ SV1 )
| ~ ( in @ SV330 @ SY470 )
| ( in @ SV330 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK137_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2017]) ).
thf(2312,plain,
! [SV1: $i,SV264: $i] :
( ( ( ~ ( ~ ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
| ~ ! [SY398: $i] :
( ~ ( in @ SY398 @ ( sK137_SY8 @ SV1 ) )
| ( SV264 = SY398 )
| ( in @ SV264 @ SY398 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2018]) ).
thf(2313,plain,
! [SV265: $i,SV1: $i,SV331: $i] :
( ( ( ~ ( in @ SV331 @ SV1 )
| ~ ( in @ SV265 @ SV331 )
| ( in @ SV265 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK160_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2019]) ).
thf(2314,plain,
! [SV1: $i] :
( ( ( ( sK160_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2020]) ).
thf(2315,plain,
! [SV1: $i,SV332: $i] :
( ( ( ~ ~ ( ~ ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
| ~ ! [SY471: $i] :
( ~ ( in @ SY471 @ ( sK160_SY8 @ SV1 ) )
| ( SV332 = SY471 )
| ( in @ SV332 @ SY471 ) ) ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2021]) ).
thf(2316,plain,
! [SV266: $i,SV1: $i,SV333: $i] :
( ( ( ~ ( in @ SV333 @ SV1 )
| ~ ( in @ SV266 @ SV333 )
| ( in @ SV266 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK161_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2022]) ).
thf(2317,plain,
! [SV1: $i] :
( ( ( ( sK161_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2023]) ).
thf(2318,plain,
! [SV1: $i,SV334: $i] :
( ( ( ~ ~ ( ~ ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
| ~ ! [SY472: $i] :
( ~ ( in @ SY472 @ ( sK161_SY8 @ SV1 ) )
| ( SV334 = SY472 )
| ( in @ SV334 @ SY472 ) ) ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2024]) ).
thf(2319,plain,
! [SV267: $i,SV1: $i,SV335: $i] :
( ( ( ~ ( in @ SV335 @ SV1 )
| ~ ( in @ SV267 @ SV335 )
| ( in @ SV267 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK162_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2025]) ).
thf(2320,plain,
! [SV1: $i] :
( ( ( ( sK162_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2026]) ).
thf(2321,plain,
! [SV1: $i,SV336: $i] :
( ( ( ~ ~ ( ~ ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
| ~ ! [SY473: $i] :
( ~ ( in @ SY473 @ ( sK162_SY8 @ SV1 ) )
| ( SV336 = SY473 )
| ( in @ SV336 @ SY473 ) ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2027]) ).
thf(2322,plain,
! [SV268: $i,SV1: $i,SV337: $i] :
( ( ( ~ ( in @ SV337 @ SV1 )
| ~ ( in @ SV268 @ SV337 )
| ( in @ SV268 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK163_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2028]) ).
thf(2323,plain,
! [SV1: $i] :
( ( ( ( sK163_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2029]) ).
thf(2324,plain,
! [SV1: $i,SV338: $i] :
( ( ( ~ ~ ( ~ ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
| ~ ! [SY474: $i] :
( ~ ( in @ SY474 @ ( sK163_SY8 @ SV1 ) )
| ( SV338 = SY474 )
| ( in @ SV338 @ SY474 ) ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2030]) ).
thf(2325,plain,
! [SV207: $i,SV1: $i,SV269: $i] :
( ( ( ~ ( in @ SV269 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV207 @ SV269 )
| ( in @ SV207 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK138_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2031]) ).
thf(2326,plain,
! [SV339: $i,SV1: $i] :
( ( ( ! [SY475: $i] :
( ~ ( in @ SY475 @ SV1 )
| ~ ( in @ SV339 @ SY475 )
| ( in @ SV339 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ( sK138_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2032]) ).
thf(2327,plain,
! [SV1: $i,SV270: $i] :
( ( ( ~ ( ~ ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
| ~ ! [SY403: $i] :
( ~ ( in @ SY403 @ ( sK138_SY8 @ SV1 ) )
| ( SV270 = SY403 )
| ( in @ SV270 @ SY403 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2033]) ).
thf(2328,plain,
! [SV208: $i,SV1: $i,SV271: $i] :
( ( ( ~ ( in @ SV271 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV208 @ SV271 )
| ( in @ SV208 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK139_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2034]) ).
thf(2329,plain,
! [SV340: $i,SV1: $i] :
( ( ( ! [SY476: $i] :
( ~ ( in @ SY476 @ SV1 )
| ~ ( in @ SV340 @ SY476 )
| ( in @ SV340 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ( sK139_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2035]) ).
thf(2330,plain,
! [SV1: $i,SV272: $i] :
( ( ( ~ ( ~ ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
| ~ ! [SY404: $i] :
( ~ ( in @ SY404 @ ( sK139_SY8 @ SV1 ) )
| ( SV272 = SY404 )
| ( in @ SV272 @ SY404 ) ) ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2036]) ).
thf(2331,plain,
! [SV1: $i,SV22: $i] :
( ( ( ~ ( in @ ( sK194_SY111 @ SV22 @ SV1 ) @ ( sK48_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2038]) ).
thf(2332,plain,
! [SV1: $i,SV22: $i] :
( ( ( ( SV22
= ( sK194_SY111 @ SV22 @ SV1 ) )
| ( in @ SV22 @ ( sK194_SY111 @ SV22 @ SV1 ) ) )
= $false )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2038]) ).
thf(2333,plain,
! [SV1: $i,SV24: $i] :
( ( ( ~ ( in @ ( sK195_SY112 @ SV24 @ SV1 ) @ ( sK49_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2040]) ).
thf(2334,plain,
! [SV1: $i,SV24: $i] :
( ( ( ( SV24
= ( sK195_SY112 @ SV24 @ SV1 ) )
| ( in @ SV24 @ ( sK195_SY112 @ SV24 @ SV1 ) ) )
= $false )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2040]) ).
thf(2335,plain,
! [SV1: $i,SV151: $i,SV99: $i] :
( ( ( ~ ( in @ SV99 @ SV151 ) )
= $true )
| ( ( in @ SV99 @ SV1 )
= $true )
| ( ( in @ SV151 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK72_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2042]) ).
thf(2336,plain,
! [SV62: $i,SV1: $i] :
( ( ( ! [SY187: $i] :
( ~ ( in @ SY187 @ ( sK72_SY8 @ SV1 ) )
| ( SV62 = SY187 )
| ( in @ SV62 @ SY187 ) ) )
= $false )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2043]) ).
thf(2337,plain,
! [SV1: $i,SV152: $i,SV100: $i] :
( ( ( ~ ( in @ SV100 @ SV152 ) )
= $true )
| ( ( in @ SV100 @ SV1 )
= $true )
| ( ( in @ SV152 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK73_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2045]) ).
thf(2338,plain,
! [SV64: $i,SV1: $i] :
( ( ( ! [SY188: $i] :
( ~ ( in @ SY188 @ ( sK73_SY8 @ SV1 ) )
| ( SV64 = SY188 )
| ( in @ SV64 @ SY188 ) ) )
= $false )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2046]) ).
thf(2339,plain,
! [SV1: $i,SV101: $i,SV65: $i] :
( ( ( in @ SV65 @ SV101 )
= $false )
| ( ( in @ SV65 @ SV1 )
= $true )
| ( ( in @ SV101 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK92_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2047]) ).
thf(2340,plain,
! [SV153: $i,SV1: $i,SV209: $i] :
( ( ( in @ SV209 @ SV1 )
= $false )
| ( ( ~ ( in @ SV153 @ SV209 )
| ( in @ SV153 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK92_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2048]) ).
thf(2341,plain,
! [SV1: $i,SV102: $i] :
( ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY249: $i] :
( ~ ( in @ SY249 @ ( sK92_SY8 @ SV1 ) )
| ( SV102 = SY249 )
| ( in @ SV102 @ SY249 ) ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2049]) ).
thf(2342,plain,
! [SV1: $i,SV103: $i,SV66: $i] :
( ( ( in @ SV66 @ SV103 )
= $false )
| ( ( in @ SV66 @ SV1 )
= $true )
| ( ( in @ SV103 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK93_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2050]) ).
thf(2343,plain,
! [SV154: $i,SV1: $i,SV210: $i] :
( ( ( in @ SV210 @ SV1 )
= $false )
| ( ( ~ ( in @ SV154 @ SV210 )
| ( in @ SV154 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK93_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2051]) ).
thf(2344,plain,
! [SV1: $i,SV104: $i] :
( ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY250: $i] :
( ~ ( in @ SY250 @ ( sK93_SY8 @ SV1 ) )
| ( SV104 = SY250 )
| ( in @ SV104 @ SY250 ) ) )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2052]) ).
thf(2345,plain,
! [SV1: $i,SV105: $i,SV67: $i] :
( ( ( in @ SV67 @ SV105 )
= $false )
| ( ( in @ SV67 @ SV1 )
= $true )
| ( ( in @ SV105 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK94_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2053]) ).
thf(2346,plain,
! [SV155: $i,SV1: $i,SV211: $i] :
( ( ( in @ SV211 @ SV1 )
= $false )
| ( ( ~ ( in @ SV155 @ SV211 )
| ( in @ SV155 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK94_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2054]) ).
thf(2347,plain,
! [SV1: $i,SV106: $i] :
( ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY251: $i] :
( ~ ( in @ SY251 @ ( sK94_SY8 @ SV1 ) )
| ( SV106 = SY251 )
| ( in @ SV106 @ SY251 ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2055]) ).
thf(2348,plain,
! [SV1: $i,SV107: $i,SV68: $i] :
( ( ( in @ SV68 @ SV107 )
= $false )
| ( ( in @ SV68 @ SV1 )
= $true )
| ( ( in @ SV107 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK95_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2056]) ).
thf(2349,plain,
! [SV156: $i,SV1: $i,SV212: $i] :
( ( ( in @ SV212 @ SV1 )
= $false )
| ( ( ~ ( in @ SV156 @ SV212 )
| ( in @ SV156 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK95_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2057]) ).
thf(2350,plain,
! [SV1: $i,SV108: $i] :
( ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY252: $i] :
( ~ ( in @ SY252 @ ( sK95_SY8 @ SV1 ) )
| ( SV108 = SY252 )
| ( in @ SV108 @ SY252 ) ) )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2058]) ).
thf(2351,plain,
! [SV1: $i,SV157: $i,SV109: $i] :
( ( ( ~ ( in @ SV109 @ SV157 ) )
= $true )
| ( ( in @ SV109 @ SV1 )
= $true )
| ( ( in @ SV157 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ( sK74_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2060]) ).
thf(2352,plain,
! [SV70: $i,SV1: $i] :
( ( ( ! [SY193: $i] :
( ~ ( in @ SY193 @ ( sK74_SY8 @ SV1 ) )
| ( SV70 = SY193 )
| ( in @ SV70 @ SY193 ) ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2061]) ).
thf(2353,plain,
! [SV1: $i,SV158: $i,SV110: $i] :
( ( ( ~ ( in @ SV110 @ SV158 ) )
= $true )
| ( ( in @ SV110 @ SV1 )
= $true )
| ( ( in @ SV158 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ( sK75_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2063]) ).
thf(2354,plain,
! [SV72: $i,SV1: $i] :
( ( ( ! [SY194: $i] :
( ~ ( in @ SY194 @ ( sK75_SY8 @ SV1 ) )
| ( SV72 = SY194 )
| ( in @ SV72 @ SY194 ) ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2064]) ).
thf(2355,plain,
! [SV1: $i,SV159: $i,SV111: $i] :
( ( ( ~ ( in @ SV111 @ SV159 ) )
= $true )
| ( ( in @ SV111 @ SV1 )
= $true )
| ( ( in @ SV159 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK76_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2066]) ).
thf(2356,plain,
! [SV74: $i,SV1: $i] :
( ( ( ! [SY195: $i] :
( ~ ( in @ SY195 @ ( sK76_SY8 @ SV1 ) )
| ( SV74 = SY195 )
| ( in @ SV74 @ SY195 ) ) )
= $false )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2067]) ).
thf(2357,plain,
! [SV1: $i,SV160: $i,SV112: $i] :
( ( ( ~ ( in @ SV112 @ SV160 ) )
= $true )
| ( ( in @ SV112 @ SV1 )
= $true )
| ( ( in @ SV160 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK77_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2069]) ).
thf(2358,plain,
! [SV76: $i,SV1: $i] :
( ( ( ! [SY196: $i] :
( ~ ( in @ SY196 @ ( sK77_SY8 @ SV1 ) )
| ( SV76 = SY196 )
| ( in @ SV76 @ SY196 ) ) )
= $false )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2070]) ).
thf(2359,plain,
! [SV1: $i,SV161: $i,SV113: $i] :
( ( ( ~ ( in @ SV113 @ SV161 ) )
= $true )
| ( ( in @ SV113 @ SV1 )
= $true )
| ( ( in @ SV161 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK110_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2071]) ).
thf(2360,plain,
! [SV213: $i,SV1: $i,SV273: $i] :
( ( ( ~ ( in @ SV273 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV213 @ SV273 )
| ( in @ SV213 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK110_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2072]) ).
thf(2361,plain,
! [SV1: $i,SV162: $i] :
( ( ( ~ ( in @ SV162 @ ( sK110_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY309: $i] :
( ~ ( in @ SY309 @ ( sK110_SY8 @ SV1 ) )
| ( SV162 = SY309 )
| ( in @ SV162 @ SY309 ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2073]) ).
thf(2362,plain,
! [SV1: $i,SV163: $i,SV114: $i] :
( ( ( ~ ( in @ SV114 @ SV163 ) )
= $true )
| ( ( in @ SV114 @ SV1 )
= $true )
| ( ( in @ SV163 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK111_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2074]) ).
thf(2363,plain,
! [SV214: $i,SV1: $i,SV274: $i] :
( ( ( ~ ( in @ SV274 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV214 @ SV274 )
| ( in @ SV214 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK111_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2075]) ).
thf(2364,plain,
! [SV1: $i,SV164: $i] :
( ( ( ~ ( in @ SV164 @ ( sK111_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY310: $i] :
( ~ ( in @ SY310 @ ( sK111_SY8 @ SV1 ) )
| ( SV164 = SY310 )
| ( in @ SV164 @ SY310 ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2076]) ).
thf(2365,plain,
! [SV165: $i,SV1: $i,SV215: $i] :
( ( ( in @ SV215 @ SV1 )
= $false )
| ( ( ~ ( in @ SV165 @ SV215 )
| ( in @ SV165 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK124_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2077]) ).
thf(2366,plain,
! [SV275: $i,SV1: $i,SV341: $i] :
( ( ( ~ ( in @ SV341 @ SV1 )
| ~ ( in @ SV275 @ SV341 )
| ( in @ SV275 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK124_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2078]) ).
thf(2367,plain,
! [SV1: $i,SV216: $i] :
( ( ( ~ ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
| ~ ! [SY351: $i] :
( ~ ( in @ SY351 @ ( sK124_SY8 @ SV1 ) )
| ( SV216 = SY351 )
| ( in @ SV216 @ SY351 ) ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2079]) ).
thf(2368,plain,
! [SV166: $i,SV1: $i,SV217: $i] :
( ( ( in @ SV217 @ SV1 )
= $false )
| ( ( ~ ( in @ SV166 @ SV217 )
| ( in @ SV166 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK125_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2080]) ).
thf(2369,plain,
! [SV276: $i,SV1: $i,SV342: $i] :
( ( ( ~ ( in @ SV342 @ SV1 )
| ~ ( in @ SV276 @ SV342 )
| ( in @ SV276 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK125_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2081]) ).
thf(2370,plain,
! [SV1: $i,SV218: $i] :
( ( ( ~ ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
| ~ ! [SY352: $i] :
( ~ ( in @ SY352 @ ( sK125_SY8 @ SV1 ) )
| ( SV218 = SY352 )
| ( in @ SV218 @ SY352 ) ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2082]) ).
thf(2371,plain,
! [SV167: $i,SV1: $i,SV219: $i] :
( ( ( in @ SV219 @ SV1 )
= $false )
| ( ( ~ ( in @ SV167 @ SV219 )
| ( in @ SV167 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK126_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2083]) ).
thf(2372,plain,
! [SV277: $i,SV1: $i,SV343: $i] :
( ( ( ~ ( in @ SV343 @ SV1 )
| ~ ( in @ SV277 @ SV343 )
| ( in @ SV277 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK126_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2373,plain,
! [SV1: $i,SV220: $i] :
( ( ( ~ ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
| ~ ! [SY353: $i] :
( ~ ( in @ SY353 @ ( sK126_SY8 @ SV1 ) )
| ( SV220 = SY353 )
| ( in @ SV220 @ SY353 ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2085]) ).
thf(2374,plain,
! [SV168: $i,SV1: $i,SV221: $i] :
( ( ( in @ SV221 @ SV1 )
= $false )
| ( ( ~ ( in @ SV168 @ SV221 )
| ( in @ SV168 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK127_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2086]) ).
thf(2375,plain,
! [SV278: $i,SV1: $i,SV344: $i] :
( ( ( ~ ( in @ SV344 @ SV1 )
| ~ ( in @ SV278 @ SV344 )
| ( in @ SV278 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK127_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2087]) ).
thf(2376,plain,
! [SV1: $i,SV222: $i] :
( ( ( ~ ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
| ~ ! [SY354: $i] :
( ~ ( in @ SY354 @ ( sK127_SY8 @ SV1 ) )
| ( SV222 = SY354 )
| ( in @ SV222 @ SY354 ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2088]) ).
thf(2377,plain,
! [SV1: $i,SV169: $i,SV115: $i] :
( ( ( ~ ( in @ SV115 @ SV169 ) )
= $true )
| ( ( in @ SV115 @ SV1 )
= $true )
| ( ( in @ SV169 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK112_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2089]) ).
thf(2378,plain,
! [SV223: $i,SV1: $i,SV279: $i] :
( ( ( ~ ( in @ SV279 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV223 @ SV279 )
| ( in @ SV223 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ( sK112_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2090]) ).
thf(2379,plain,
! [SV1: $i,SV170: $i] :
( ( ( ~ ( in @ SV170 @ ( sK112_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY315: $i] :
( ~ ( in @ SY315 @ ( sK112_SY8 @ SV1 ) )
| ( SV170 = SY315 )
| ( in @ SV170 @ SY315 ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2091]) ).
thf(2380,plain,
! [SV1: $i,SV171: $i,SV116: $i] :
( ( ( ~ ( in @ SV116 @ SV171 ) )
= $true )
| ( ( in @ SV116 @ SV1 )
= $true )
| ( ( in @ SV171 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK113_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2092]) ).
thf(2381,plain,
! [SV224: $i,SV1: $i,SV280: $i] :
( ( ( ~ ( in @ SV280 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV224 @ SV280 )
| ( in @ SV224 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ( sK113_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2093]) ).
thf(2382,plain,
! [SV1: $i,SV172: $i] :
( ( ( ~ ( in @ SV172 @ ( sK113_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY316: $i] :
( ~ ( in @ SY316 @ ( sK113_SY8 @ SV1 ) )
| ( SV172 = SY316 )
| ( in @ SV172 @ SY316 ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2094]) ).
thf(2383,plain,
! [SV1: $i,SV173: $i,SV117: $i] :
( ( ( ~ ( in @ SV117 @ SV173 ) )
= $true )
| ( ( in @ SV117 @ SV1 )
= $true )
| ( ( in @ SV173 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK114_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2095]) ).
thf(2384,plain,
! [SV225: $i,SV1: $i,SV281: $i] :
( ( ( ~ ( in @ SV281 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV225 @ SV281 )
| ( in @ SV225 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK114_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2096]) ).
thf(2385,plain,
! [SV1: $i,SV174: $i] :
( ( ( ~ ( in @ SV174 @ ( sK114_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY317: $i] :
( ~ ( in @ SY317 @ ( sK114_SY8 @ SV1 ) )
| ( SV174 = SY317 )
| ( in @ SV174 @ SY317 ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2097]) ).
thf(2386,plain,
! [SV1: $i,SV175: $i,SV118: $i] :
( ( ( ~ ( in @ SV118 @ SV175 ) )
= $true )
| ( ( in @ SV118 @ SV1 )
= $true )
| ( ( in @ SV175 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK115_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2098]) ).
thf(2387,plain,
! [SV226: $i,SV1: $i,SV282: $i] :
( ( ( ~ ( in @ SV282 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV226 @ SV282 )
| ( in @ SV226 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK115_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2099]) ).
thf(2388,plain,
! [SV1: $i,SV176: $i] :
( ( ( ~ ( in @ SV176 @ ( sK115_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY318: $i] :
( ~ ( in @ SY318 @ ( sK115_SY8 @ SV1 ) )
| ( SV176 = SY318 )
| ( in @ SV176 @ SY318 ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2100]) ).
thf(2389,plain,
! [SV227: $i,SV1: $i,SV283: $i] :
( ( ( ~ ( in @ SV283 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV227 @ SV283 )
| ( in @ SV227 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK140_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2101]) ).
thf(2390,plain,
! [SV345: $i,SV1: $i] :
( ( ( ! [SY477: $i] :
( ~ ( in @ SY477 @ SV1 )
| ~ ( in @ SV345 @ SY477 )
| ( in @ SV345 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK140_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2102]) ).
thf(2391,plain,
! [SV1: $i,SV284: $i] :
( ( ( ~ ( ~ ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
| ~ ! [SY409: $i] :
( ~ ( in @ SY409 @ ( sK140_SY8 @ SV1 ) )
| ( SV284 = SY409 )
| ( in @ SV284 @ SY409 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2103]) ).
thf(2392,plain,
! [SV228: $i,SV1: $i,SV285: $i] :
( ( ( ~ ( in @ SV285 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV228 @ SV285 )
| ( in @ SV228 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK141_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2104]) ).
thf(2393,plain,
! [SV346: $i,SV1: $i] :
( ( ( ! [SY478: $i] :
( ~ ( in @ SY478 @ SV1 )
| ~ ( in @ SV346 @ SY478 )
| ( in @ SV346 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK141_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2105]) ).
thf(2394,plain,
! [SV1: $i,SV286: $i] :
( ( ( ~ ( ~ ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
| ~ ! [SY410: $i] :
( ~ ( in @ SY410 @ ( sK141_SY8 @ SV1 ) )
| ( SV286 = SY410 )
| ( in @ SV286 @ SY410 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2106]) ).
thf(2395,plain,
! [SV287: $i,SV1: $i,SV347: $i] :
( ( ( ~ ( in @ SV347 @ SV1 )
| ~ ( in @ SV287 @ SV347 )
| ( in @ SV287 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK164_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2107]) ).
thf(2396,plain,
! [SV1: $i] :
( ( ( ( sK164_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2108]) ).
thf(2397,plain,
! [SV1: $i,SV348: $i] :
( ( ( ~ ~ ( ~ ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
| ~ ! [SY479: $i] :
( ~ ( in @ SY479 @ ( sK164_SY8 @ SV1 ) )
| ( SV348 = SY479 )
| ( in @ SV348 @ SY479 ) ) ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2109]) ).
thf(2398,plain,
! [SV288: $i,SV1: $i,SV349: $i] :
( ( ( ~ ( in @ SV349 @ SV1 )
| ~ ( in @ SV288 @ SV349 )
| ( in @ SV288 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK165_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2110]) ).
thf(2399,plain,
! [SV1: $i] :
( ( ( ( sK165_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2111]) ).
thf(2400,plain,
! [SV1: $i,SV350: $i] :
( ( ( ~ ~ ( ~ ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
| ~ ! [SY480: $i] :
( ~ ( in @ SY480 @ ( sK165_SY8 @ SV1 ) )
| ( SV350 = SY480 )
| ( in @ SV350 @ SY480 ) ) ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2112]) ).
thf(2401,plain,
! [SV289: $i,SV1: $i,SV351: $i] :
( ( ( ~ ( in @ SV351 @ SV1 )
| ~ ( in @ SV289 @ SV351 )
| ( in @ SV289 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK166_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2113]) ).
thf(2402,plain,
! [SV1: $i] :
( ( ( ( sK166_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2114]) ).
thf(2403,plain,
! [SV1: $i,SV352: $i] :
( ( ( ~ ~ ( ~ ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
| ~ ! [SY481: $i] :
( ~ ( in @ SY481 @ ( sK166_SY8 @ SV1 ) )
| ( SV352 = SY481 )
| ( in @ SV352 @ SY481 ) ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2115]) ).
thf(2404,plain,
! [SV290: $i,SV1: $i,SV353: $i] :
( ( ( ~ ( in @ SV353 @ SV1 )
| ~ ( in @ SV290 @ SV353 )
| ( in @ SV290 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK167_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2116]) ).
thf(2405,plain,
! [SV1: $i] :
( ( ( ( sK167_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2117]) ).
thf(2406,plain,
! [SV1: $i,SV354: $i] :
( ( ( ~ ~ ( ~ ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
| ~ ! [SY482: $i] :
( ~ ( in @ SY482 @ ( sK167_SY8 @ SV1 ) )
| ( SV354 = SY482 )
| ( in @ SV354 @ SY482 ) ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2118]) ).
thf(2407,plain,
! [SV229: $i,SV1: $i,SV291: $i] :
( ( ( ~ ( in @ SV291 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV229 @ SV291 )
| ( in @ SV229 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK142_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2119]) ).
thf(2408,plain,
! [SV355: $i,SV1: $i] :
( ( ( ! [SY483: $i] :
( ~ ( in @ SY483 @ SV1 )
| ~ ( in @ SV355 @ SY483 )
| ( in @ SV355 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ( sK142_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2120]) ).
thf(2409,plain,
! [SV1: $i,SV292: $i] :
( ( ( ~ ( ~ ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
| ~ ! [SY415: $i] :
( ~ ( in @ SY415 @ ( sK142_SY8 @ SV1 ) )
| ( SV292 = SY415 )
| ( in @ SV292 @ SY415 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2121]) ).
thf(2410,plain,
! [SV230: $i,SV1: $i,SV293: $i] :
( ( ( ~ ( in @ SV293 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV230 @ SV293 )
| ( in @ SV230 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK143_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2122]) ).
thf(2411,plain,
! [SV356: $i,SV1: $i] :
( ( ( ! [SY484: $i] :
( ~ ( in @ SY484 @ SV1 )
| ~ ( in @ SV356 @ SY484 )
| ( in @ SV356 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ( sK143_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2123]) ).
thf(2412,plain,
! [SV1: $i,SV294: $i] :
( ( ( ~ ( ~ ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
| ~ ! [SY416: $i] :
( ~ ( in @ SY416 @ ( sK143_SY8 @ SV1 ) )
| ( SV294 = SY416 )
| ( in @ SV294 @ SY416 ) ) ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2124]) ).
thf(2413,plain,
! [SV357: $i,SV1: $i] :
( ( ( ! [SY485: $i] :
( ~ ( in @ SY485 @ SV1 )
| ~ ( in @ SV357 @ SY485 )
| ( in @ SV357 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK180_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2125]) ).
thf(2414,plain,
! [SV1: $i] :
( ( ( ( ( sK180_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2126]) ).
thf(2415,plain,
! [SV1: $i] :
( ( ( ! [SY319: $i] :
~ ~ ( ~ ( in @ SY319 @ ( sK180_SY8 @ SV1 ) )
| ~ ! [SY320: $i] :
( ~ ( in @ SY320 @ ( sK180_SY8 @ SV1 ) )
| ( SY319 = SY320 )
| ( in @ SY319 @ SY320 ) ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2127]) ).
thf(2416,plain,
! [SV358: $i,SV1: $i] :
( ( ( ! [SY486: $i] :
( ~ ( in @ SY486 @ SV1 )
| ~ ( in @ SV358 @ SY486 )
| ( in @ SV358 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK181_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2128]) ).
thf(2417,plain,
! [SV1: $i] :
( ( ( ( ( sK181_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2129]) ).
thf(2418,plain,
! [SV1: $i] :
( ( ( ! [SY321: $i] :
~ ~ ( ~ ( in @ SY321 @ ( sK181_SY8 @ SV1 ) )
| ~ ! [SY322: $i] :
( ~ ( in @ SY322 @ ( sK181_SY8 @ SV1 ) )
| ( SY321 = SY322 )
| ( in @ SY321 @ SY322 ) ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2130]) ).
thf(2419,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK196_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2131]) ).
thf(2420,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK196_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY417: $i] :
~ ~ ( ~ ( in @ SY417 @ ( sK196_SY8 @ SV1 ) )
| ~ ! [SY418: $i] :
( ~ ( in @ SY418 @ ( sK196_SY8 @ SV1 ) )
| ( SY417 = SY418 )
| ( in @ SY417 @ SY418 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2131]) ).
thf(2421,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK197_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2422,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK197_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY419: $i] :
~ ~ ( ~ ( in @ SY419 @ ( sK197_SY8 @ SV1 ) )
| ~ ! [SY420: $i] :
( ~ ( in @ SY420 @ ( sK197_SY8 @ SV1 ) )
| ( SY419 = SY420 )
| ( in @ SY419 @ SY420 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2423,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK212_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK212_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY487: $i] :
~ ~ ( ~ ( in @ SY487 @ ( sK212_SY8 @ SV1 ) )
| ~ ! [SY488: $i] :
( ~ ( in @ SY488 @ ( sK212_SY8 @ SV1 ) )
| ( SY487 = SY488 )
| ( in @ SY487 @ SY488 ) ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2133]) ).
thf(2424,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK213_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK213_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY489: $i] :
~ ~ ( ~ ( in @ SY489 @ ( sK213_SY8 @ SV1 ) )
| ~ ! [SY490: $i] :
( ~ ( in @ SY490 @ ( sK213_SY8 @ SV1 ) )
| ( SY489 = SY490 )
| ( in @ SY489 @ SY490 ) ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2134]) ).
thf(2425,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK214_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK214_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY491: $i] :
~ ~ ( ~ ( in @ SY491 @ ( sK214_SY8 @ SV1 ) )
| ~ ! [SY492: $i] :
( ~ ( in @ SY492 @ ( sK214_SY8 @ SV1 ) )
| ( SY491 = SY492 )
| ( in @ SY491 @ SY492 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2135]) ).
thf(2426,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK215_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK215_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY493: $i] :
~ ~ ( ~ ( in @ SY493 @ ( sK215_SY8 @ SV1 ) )
| ~ ! [SY494: $i] :
( ~ ( in @ SY494 @ ( sK215_SY8 @ SV1 ) )
| ( SY493 = SY494 )
| ( in @ SY493 @ SY494 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2136]) ).
thf(2427,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK198_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2137]) ).
thf(2428,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK198_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY421: $i] :
~ ~ ( ~ ( in @ SY421 @ ( sK198_SY8 @ SV1 ) )
| ~ ! [SY422: $i] :
( ~ ( in @ SY422 @ ( sK198_SY8 @ SV1 ) )
| ( SY421 = SY422 )
| ( in @ SY421 @ SY422 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2137]) ).
thf(2429,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK199_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2138]) ).
thf(2430,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK199_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY423: $i] :
~ ~ ( ~ ( in @ SY423 @ ( sK199_SY8 @ SV1 ) )
| ~ ! [SY424: $i] :
( ~ ( in @ SY424 @ ( sK199_SY8 @ SV1 ) )
| ( SY423 = SY424 )
| ( in @ SY423 @ SY424 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2138]) ).
thf(2431,plain,
! [SV359: $i,SV1: $i] :
( ( ( ! [SY495: $i] :
( ~ ( in @ SY495 @ SV1 )
| ~ ( in @ SV359 @ SY495 )
| ( in @ SV359 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK182_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2139]) ).
thf(2432,plain,
! [SV1: $i] :
( ( ( ( ( sK182_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2140]) ).
thf(2433,plain,
! [SV1: $i] :
( ( ( ! [SY323: $i] :
~ ~ ( ~ ( in @ SY323 @ ( sK182_SY8 @ SV1 ) )
| ~ ! [SY324: $i] :
( ~ ( in @ SY324 @ ( sK182_SY8 @ SV1 ) )
| ( SY323 = SY324 )
| ( in @ SY323 @ SY324 ) ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2141]) ).
thf(2434,plain,
! [SV360: $i,SV1: $i] :
( ( ( ! [SY496: $i] :
( ~ ( in @ SY496 @ SV1 )
| ~ ( in @ SV360 @ SY496 )
| ( in @ SV360 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK183_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2142]) ).
thf(2435,plain,
! [SV1: $i] :
( ( ( ( ( sK183_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2143]) ).
thf(2436,plain,
! [SV1: $i] :
( ( ( ! [SY325: $i] :
~ ~ ( ~ ( in @ SY325 @ ( sK183_SY8 @ SV1 ) )
| ~ ! [SY326: $i] :
( ~ ( in @ SY326 @ ( sK183_SY8 @ SV1 ) )
| ( SY325 = SY326 )
| ( in @ SY325 @ SY326 ) ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2144]) ).
thf(2437,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK200_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2145]) ).
thf(2438,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK200_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY425: $i] :
~ ~ ( ~ ( in @ SY425 @ ( sK200_SY8 @ SV1 ) )
| ~ ! [SY426: $i] :
( ~ ( in @ SY426 @ ( sK200_SY8 @ SV1 ) )
| ( SY425 = SY426 )
| ( in @ SY425 @ SY426 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2145]) ).
thf(2439,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK201_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2146]) ).
thf(2440,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK201_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY427: $i] :
~ ~ ( ~ ( in @ SY427 @ ( sK201_SY8 @ SV1 ) )
| ~ ! [SY428: $i] :
( ~ ( in @ SY428 @ ( sK201_SY8 @ SV1 ) )
| ( SY427 = SY428 )
| ( in @ SY427 @ SY428 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2146]) ).
thf(2441,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK216_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK216_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY497: $i] :
~ ~ ( ~ ( in @ SY497 @ ( sK216_SY8 @ SV1 ) )
| ~ ! [SY498: $i] :
( ~ ( in @ SY498 @ ( sK216_SY8 @ SV1 ) )
| ( SY497 = SY498 )
| ( in @ SY497 @ SY498 ) ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2147]) ).
thf(2442,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK217_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK217_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY499: $i] :
~ ~ ( ~ ( in @ SY499 @ ( sK217_SY8 @ SV1 ) )
| ~ ! [SY500: $i] :
( ~ ( in @ SY500 @ ( sK217_SY8 @ SV1 ) )
| ( SY499 = SY500 )
| ( in @ SY499 @ SY500 ) ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2148]) ).
thf(2443,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK218_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK218_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY501: $i] :
~ ~ ( ~ ( in @ SY501 @ ( sK218_SY8 @ SV1 ) )
| ~ ! [SY502: $i] :
( ~ ( in @ SY502 @ ( sK218_SY8 @ SV1 ) )
| ( SY501 = SY502 )
| ( in @ SY501 @ SY502 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2149]) ).
thf(2444,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK219_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
| ~ ( ( ( sK219_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY503: $i] :
~ ~ ( ~ ( in @ SY503 @ ( sK219_SY8 @ SV1 ) )
| ~ ! [SY504: $i] :
( ~ ( in @ SY504 @ ( sK219_SY8 @ SV1 ) )
| ( SY503 = SY504 )
| ( in @ SY503 @ SY504 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2150]) ).
thf(2445,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK202_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2151]) ).
thf(2446,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK202_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY429: $i] :
~ ~ ( ~ ( in @ SY429 @ ( sK202_SY8 @ SV1 ) )
| ~ ! [SY430: $i] :
( ~ ( in @ SY430 @ ( sK202_SY8 @ SV1 ) )
| ( SY429 = SY430 )
| ( in @ SY429 @ SY430 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2151]) ).
thf(2447,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK203_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2152]) ).
thf(2448,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK203_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY431: $i] :
~ ~ ( ~ ( in @ SY431 @ ( sK203_SY8 @ SV1 ) )
| ~ ! [SY432: $i] :
( ~ ( in @ SY432 @ ( sK203_SY8 @ SV1 ) )
| ( SY431 = SY432 )
| ( in @ SY431 @ SY432 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2152]) ).
thf(2449,plain,
! [SV1: $i,SV177: $i,SV119: $i] :
( ( ( ~ ( in @ SV119 @ SV177 ) )
= $true )
| ( ( in @ SV119 @ SV1 )
= $true )
| ( ( in @ SV177 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK118_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2153]) ).
thf(2450,plain,
! [SV231: $i,SV1: $i,SV295: $i] :
( ( ( ~ ( in @ SV295 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV231 @ SV295 )
| ( in @ SV231 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK118_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2154]) ).
thf(2451,plain,
! [SV1: $i,SV178: $i] :
( ( ( ~ ( in @ SV178 @ ( sK118_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY327: $i] :
( ~ ( in @ SY327 @ ( sK118_SY8 @ SV1 ) )
| ( SV178 = SY327 )
| ( in @ SV178 @ SY327 ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2155]) ).
thf(2452,plain,
! [SV1: $i,SV179: $i,SV120: $i] :
( ( ( ~ ( in @ SV120 @ SV179 ) )
= $true )
| ( ( in @ SV120 @ SV1 )
= $true )
| ( ( in @ SV179 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK119_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2156]) ).
thf(2453,plain,
! [SV232: $i,SV1: $i,SV296: $i] :
( ( ( ~ ( in @ SV296 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV232 @ SV296 )
| ( in @ SV232 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK119_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2157]) ).
thf(2454,plain,
! [SV1: $i,SV180: $i] :
( ( ( ~ ( in @ SV180 @ ( sK119_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY328: $i] :
( ~ ( in @ SY328 @ ( sK119_SY8 @ SV1 ) )
| ( SV180 = SY328 )
| ( in @ SV180 @ SY328 ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2158]) ).
thf(2455,plain,
! [SV233: $i,SV1: $i,SV297: $i] :
( ( ( ~ ( in @ SV297 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV233 @ SV297 )
| ( in @ SV233 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK148_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2159]) ).
thf(2456,plain,
! [SV361: $i,SV1: $i] :
( ( ( ! [SY505: $i] :
( ~ ( in @ SY505 @ SV1 )
| ~ ( in @ SV361 @ SY505 )
| ( in @ SV361 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK148_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2160]) ).
thf(2457,plain,
! [SV1: $i,SV298: $i] :
( ( ( ~ ( ~ ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
| ~ ! [SY433: $i] :
( ~ ( in @ SY433 @ ( sK148_SY8 @ SV1 ) )
| ( SV298 = SY433 )
| ( in @ SV298 @ SY433 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2161]) ).
thf(2458,plain,
! [SV234: $i,SV1: $i,SV299: $i] :
( ( ( ~ ( in @ SV299 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV234 @ SV299 )
| ( in @ SV234 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK149_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2162]) ).
thf(2459,plain,
! [SV362: $i,SV1: $i] :
( ( ( ! [SY506: $i] :
( ~ ( in @ SY506 @ SV1 )
| ~ ( in @ SV362 @ SY506 )
| ( in @ SV362 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK149_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2163]) ).
thf(2460,plain,
! [SV1: $i,SV300: $i] :
( ( ( ~ ( ~ ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
| ~ ! [SY434: $i] :
( ~ ( in @ SY434 @ ( sK149_SY8 @ SV1 ) )
| ( SV300 = SY434 )
| ( in @ SV300 @ SY434 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2164]) ).
thf(2461,plain,
! [SV301: $i,SV1: $i,SV363: $i] :
( ( ( ~ ( in @ SV363 @ SV1 )
| ~ ( in @ SV301 @ SV363 )
| ( in @ SV301 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK172_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2165]) ).
thf(2462,plain,
! [SV1: $i] :
( ( ( ( sK172_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2166]) ).
thf(2463,plain,
! [SV1: $i,SV364: $i] :
( ( ( ~ ~ ( ~ ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
| ~ ! [SY507: $i] :
( ~ ( in @ SY507 @ ( sK172_SY8 @ SV1 ) )
| ( SV364 = SY507 )
| ( in @ SV364 @ SY507 ) ) ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2167]) ).
thf(2464,plain,
! [SV302: $i,SV1: $i,SV365: $i] :
( ( ( ~ ( in @ SV365 @ SV1 )
| ~ ( in @ SV302 @ SV365 )
| ( in @ SV302 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK173_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2168]) ).
thf(2465,plain,
! [SV1: $i] :
( ( ( ( sK173_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2169]) ).
thf(2466,plain,
! [SV1: $i,SV366: $i] :
( ( ( ~ ~ ( ~ ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
| ~ ! [SY508: $i] :
( ~ ( in @ SY508 @ ( sK173_SY8 @ SV1 ) )
| ( SV366 = SY508 )
| ( in @ SV366 @ SY508 ) ) ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2170]) ).
thf(2467,plain,
! [SV303: $i,SV1: $i,SV367: $i] :
( ( ( ~ ( in @ SV367 @ SV1 )
| ~ ( in @ SV303 @ SV367 )
| ( in @ SV303 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK174_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2171]) ).
thf(2468,plain,
! [SV1: $i] :
( ( ( ( sK174_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2172]) ).
thf(2469,plain,
! [SV1: $i,SV368: $i] :
( ( ( ~ ~ ( ~ ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
| ~ ! [SY509: $i] :
( ~ ( in @ SY509 @ ( sK174_SY8 @ SV1 ) )
| ( SV368 = SY509 )
| ( in @ SV368 @ SY509 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2173]) ).
thf(2470,plain,
! [SV304: $i,SV1: $i,SV369: $i] :
( ( ( ~ ( in @ SV369 @ SV1 )
| ~ ( in @ SV304 @ SV369 )
| ( in @ SV304 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK175_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2174]) ).
thf(2471,plain,
! [SV1: $i] :
( ( ( ( sK175_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2175]) ).
thf(2472,plain,
! [SV1: $i,SV370: $i] :
( ( ( ~ ~ ( ~ ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
| ~ ! [SY510: $i] :
( ~ ( in @ SY510 @ ( sK175_SY8 @ SV1 ) )
| ( SV370 = SY510 )
| ( in @ SV370 @ SY510 ) ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2176]) ).
thf(2473,plain,
! [SV235: $i,SV1: $i,SV305: $i] :
( ( ( ~ ( in @ SV305 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV235 @ SV305 )
| ( in @ SV235 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK150_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2177]) ).
thf(2474,plain,
! [SV371: $i,SV1: $i] :
( ( ( ! [SY511: $i] :
( ~ ( in @ SY511 @ SV1 )
| ~ ( in @ SV371 @ SY511 )
| ( in @ SV371 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ( sK150_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2178]) ).
thf(2475,plain,
! [SV1: $i,SV306: $i] :
( ( ( ~ ( ~ ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
| ~ ! [SY439: $i] :
( ~ ( in @ SY439 @ ( sK150_SY8 @ SV1 ) )
| ( SV306 = SY439 )
| ( in @ SV306 @ SY439 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2179]) ).
thf(2476,plain,
! [SV236: $i,SV1: $i,SV307: $i] :
( ( ( ~ ( in @ SV307 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV236 @ SV307 )
| ( in @ SV236 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK151_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2180]) ).
thf(2477,plain,
! [SV372: $i,SV1: $i] :
( ( ( ! [SY512: $i] :
( ~ ( in @ SY512 @ SV1 )
| ~ ( in @ SV372 @ SY512 )
| ( in @ SV372 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ( sK151_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2181]) ).
thf(2478,plain,
! [SV1: $i,SV308: $i] :
( ( ( ~ ( ~ ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
| ~ ! [SY440: $i] :
( ~ ( in @ SY440 @ ( sK151_SY8 @ SV1 ) )
| ( SV308 = SY440 )
| ( in @ SV308 @ SY440 ) ) ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2182]) ).
thf(2479,plain,
! [SV1: $i,SV18: $i] :
( ( ( in @ ( sK184_SY93 @ SV18 @ SV1 ) @ ( sK40_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2183]) ).
thf(2480,plain,
! [SV1: $i,SV18: $i] :
( ( ( SV18
= ( sK184_SY93 @ SV18 @ SV1 ) )
= $false )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2184]) ).
thf(2481,plain,
! [SV1: $i,SV18: $i] :
( ( ( in @ SV18 @ ( sK184_SY93 @ SV18 @ SV1 ) )
= $false )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2184]) ).
thf(2482,plain,
! [SV1: $i,SV20: $i] :
( ( ( in @ ( sK185_SY94 @ SV20 @ SV1 ) @ ( sK41_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2185]) ).
thf(2483,plain,
! [SV1: $i,SV20: $i] :
( ( ( SV20
= ( sK185_SY94 @ SV20 @ SV1 ) )
= $false )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2186]) ).
thf(2484,plain,
! [SV1: $i,SV20: $i] :
( ( ( in @ SV20 @ ( sK185_SY94 @ SV20 @ SV1 ) )
= $false )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2186]) ).
thf(2485,plain,
! [SV1: $i,SV121: $i,SV77: $i] :
( ( ( in @ SV77 @ SV121 )
= $false )
| ( ( in @ SV77 @ SV1 )
= $true )
| ( ( in @ SV121 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK60_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2187]) ).
thf(2486,plain,
! [SV1: $i,SV44: $i] :
( ( ( ~ ( in @ ( sK220_SY161 @ SV44 @ SV1 ) @ ( sK60_SY8 @ SV1 ) )
| ( SV44
= ( sK220_SY161 @ SV44 @ SV1 ) )
| ( in @ SV44 @ ( sK220_SY161 @ SV44 @ SV1 ) ) )
= $false )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2188]) ).
thf(2487,plain,
! [SV1: $i,SV122: $i,SV78: $i] :
( ( ( in @ SV78 @ SV122 )
= $false )
| ( ( in @ SV78 @ SV1 )
= $true )
| ( ( in @ SV122 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK61_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2189]) ).
thf(2488,plain,
! [SV1: $i,SV46: $i] :
( ( ( ~ ( in @ ( sK221_SY162 @ SV46 @ SV1 ) @ ( sK61_SY8 @ SV1 ) )
| ( SV46
= ( sK221_SY162 @ SV46 @ SV1 ) )
| ( in @ SV46 @ ( sK221_SY162 @ SV46 @ SV1 ) ) )
= $false )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2190]) ).
thf(2489,plain,
! [SV1: $i,SV181: $i,SV123: $i] :
( ( ( ~ ( in @ SV123 @ SV181 ) )
= $true )
| ( ( in @ SV123 @ SV1 )
= $true )
| ( ( in @ SV181 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK84_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2192]) ).
thf(2490,plain,
! [SV80: $i,SV1: $i] :
( ( ( ! [SY215: $i] :
( ~ ( in @ SY215 @ ( sK84_SY8 @ SV1 ) )
| ( SV80 = SY215 )
| ( in @ SV80 @ SY215 ) ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2193]) ).
thf(2491,plain,
! [SV1: $i,SV182: $i,SV124: $i] :
( ( ( ~ ( in @ SV124 @ SV182 ) )
= $true )
| ( ( in @ SV124 @ SV1 )
= $true )
| ( ( in @ SV182 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK85_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2195]) ).
thf(2492,plain,
! [SV82: $i,SV1: $i] :
( ( ( ! [SY216: $i] :
( ~ ( in @ SY216 @ ( sK85_SY8 @ SV1 ) )
| ( SV82 = SY216 )
| ( in @ SV82 @ SY216 ) ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2196]) ).
thf(2493,plain,
! [SV1: $i,SV183: $i,SV125: $i] :
( ( ( ~ ( in @ SV125 @ SV183 ) )
= $true )
| ( ( in @ SV125 @ SV1 )
= $true )
| ( ( in @ SV183 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK86_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2198]) ).
thf(2494,plain,
! [SV84: $i,SV1: $i] :
( ( ( ! [SY217: $i] :
( ~ ( in @ SY217 @ ( sK86_SY8 @ SV1 ) )
| ( SV84 = SY217 )
| ( in @ SV84 @ SY217 ) ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2199]) ).
thf(2495,plain,
! [SV1: $i,SV184: $i,SV126: $i] :
( ( ( ~ ( in @ SV126 @ SV184 ) )
= $true )
| ( ( in @ SV126 @ SV1 )
= $true )
| ( ( in @ SV184 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK87_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2201]) ).
thf(2496,plain,
! [SV86: $i,SV1: $i] :
( ( ( ! [SY218: $i] :
( ~ ( in @ SY218 @ ( sK87_SY8 @ SV1 ) )
| ( SV86 = SY218 )
| ( in @ SV86 @ SY218 ) ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2202]) ).
thf(2497,plain,
! [SV1: $i,SV127: $i,SV87: $i] :
( ( ( in @ SV87 @ SV127 )
= $false )
| ( ( in @ SV87 @ SV1 )
= $true )
| ( ( in @ SV127 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ( sK62_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2203]) ).
thf(2498,plain,
! [SV1: $i,SV52: $i] :
( ( ( ~ ( in @ ( sK222_SY167 @ SV52 @ SV1 ) @ ( sK62_SY8 @ SV1 ) )
| ( SV52
= ( sK222_SY167 @ SV52 @ SV1 ) )
| ( in @ SV52 @ ( sK222_SY167 @ SV52 @ SV1 ) ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2204]) ).
thf(2499,plain,
! [SV1: $i,SV128: $i,SV88: $i] :
( ( ( in @ SV88 @ SV128 )
= $false )
| ( ( in @ SV88 @ SV1 )
= $true )
| ( ( in @ SV128 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( ( sK63_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2205]) ).
thf(2500,plain,
! [SV1: $i,SV54: $i] :
( ( ( ~ ( in @ ( sK223_SY168 @ SV54 @ SV1 ) @ ( sK63_SY8 @ SV1 ) )
| ( SV54
= ( sK223_SY168 @ SV54 @ SV1 ) )
| ( in @ SV54 @ ( sK223_SY168 @ SV54 @ SV1 ) ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2206]) ).
thf(2501,plain,
! [SV1: $i,SV129: $i,SV89: $i] :
( ( ( in @ SV89 @ SV129 )
= $false )
| ( ( in @ SV89 @ SV1 )
= $true )
| ( ( in @ SV129 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK64_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2207]) ).
thf(2502,plain,
! [SV1: $i,SV56: $i] :
( ( ( ~ ( in @ ( sK224_SY169 @ SV56 @ SV1 ) @ ( sK64_SY8 @ SV1 ) )
| ( SV56
= ( sK224_SY169 @ SV56 @ SV1 ) )
| ( in @ SV56 @ ( sK224_SY169 @ SV56 @ SV1 ) ) )
= $false )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2208]) ).
thf(2503,plain,
! [SV1: $i,SV130: $i,SV90: $i] :
( ( ( in @ SV90 @ SV130 )
= $false )
| ( ( in @ SV90 @ SV1 )
= $true )
| ( ( in @ SV130 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK65_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2209]) ).
thf(2504,plain,
! [SV1: $i,SV58: $i] :
( ( ( ~ ( in @ ( sK225_SY170 @ SV58 @ SV1 ) @ ( sK65_SY8 @ SV1 ) )
| ( SV58
= ( sK225_SY170 @ SV58 @ SV1 ) )
| ( in @ SV58 @ ( sK225_SY170 @ SV58 @ SV1 ) ) )
= $false )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2210]) ).
thf(2505,plain,
! [SV1: $i,SV131: $i,SV91: $i] :
( ( ( in @ SV91 @ SV131 )
= $false )
| ( ( in @ SV91 @ SV1 )
= $true )
| ( ( in @ SV131 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK100_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2211]) ).
thf(2506,plain,
! [SV185: $i,SV1: $i,SV237: $i] :
( ( ( in @ SV237 @ SV1 )
= $false )
| ( ( ~ ( in @ SV185 @ SV237 )
| ( in @ SV185 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK100_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2212]) ).
thf(2507,plain,
! [SV1: $i,SV132: $i] :
( ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY285: $i] :
( ~ ( in @ SY285 @ ( sK100_SY8 @ SV1 ) )
| ( SV132 = SY285 )
| ( in @ SV132 @ SY285 ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2213]) ).
thf(2508,plain,
! [SV1: $i,SV133: $i,SV92: $i] :
( ( ( in @ SV92 @ SV133 )
= $false )
| ( ( in @ SV92 @ SV1 )
= $true )
| ( ( in @ SV133 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK101_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2214]) ).
thf(2509,plain,
! [SV186: $i,SV1: $i,SV238: $i] :
( ( ( in @ SV238 @ SV1 )
= $false )
| ( ( ~ ( in @ SV186 @ SV238 )
| ( in @ SV186 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK101_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2215]) ).
thf(2510,plain,
! [SV1: $i,SV134: $i] :
( ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY286: $i] :
( ~ ( in @ SY286 @ ( sK101_SY8 @ SV1 ) )
| ( SV134 = SY286 )
| ( in @ SV134 @ SY286 ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2216]) ).
thf(2511,plain,
! [SV1: $i,SV187: $i,SV135: $i] :
( ( ( ~ ( in @ SV135 @ SV187 ) )
= $true )
| ( ( in @ SV135 @ SV1 )
= $true )
| ( ( in @ SV187 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK120_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2217]) ).
thf(2512,plain,
! [SV239: $i,SV1: $i,SV309: $i] :
( ( ( ~ ( in @ SV309 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV239 @ SV309 )
| ( in @ SV239 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK120_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2218]) ).
thf(2513,plain,
! [SV1: $i,SV188: $i] :
( ( ( ~ ( in @ SV188 @ ( sK120_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY331: $i] :
( ~ ( in @ SY331 @ ( sK120_SY8 @ SV1 ) )
| ( SV188 = SY331 )
| ( in @ SV188 @ SY331 ) ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2219]) ).
thf(2514,plain,
! [SV1: $i,SV189: $i,SV136: $i] :
( ( ( ~ ( in @ SV136 @ SV189 ) )
= $true )
| ( ( in @ SV136 @ SV1 )
= $true )
| ( ( in @ SV189 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK121_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2220]) ).
thf(2515,plain,
! [SV240: $i,SV1: $i,SV310: $i] :
( ( ( ~ ( in @ SV310 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV240 @ SV310 )
| ( in @ SV240 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK121_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2221]) ).
thf(2516,plain,
! [SV1: $i,SV190: $i] :
( ( ( ~ ( in @ SV190 @ ( sK121_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY332: $i] :
( ~ ( in @ SY332 @ ( sK121_SY8 @ SV1 ) )
| ( SV190 = SY332 )
| ( in @ SV190 @ SY332 ) ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2222]) ).
thf(2517,plain,
! [SV1: $i,SV191: $i,SV137: $i] :
( ( ( ~ ( in @ SV137 @ SV191 ) )
= $true )
| ( ( in @ SV137 @ SV1 )
= $true )
| ( ( in @ SV191 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK122_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2223]) ).
thf(2518,plain,
! [SV241: $i,SV1: $i,SV311: $i] :
( ( ( ~ ( in @ SV311 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV241 @ SV311 )
| ( in @ SV241 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK122_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2224]) ).
thf(2519,plain,
! [SV1: $i,SV192: $i] :
( ( ( ~ ( in @ SV192 @ ( sK122_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY333: $i] :
( ~ ( in @ SY333 @ ( sK122_SY8 @ SV1 ) )
| ( SV192 = SY333 )
| ( in @ SV192 @ SY333 ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2225]) ).
thf(2520,plain,
! [SV1: $i,SV193: $i,SV138: $i] :
( ( ( ~ ( in @ SV138 @ SV193 ) )
= $true )
| ( ( in @ SV138 @ SV1 )
= $true )
| ( ( in @ SV193 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK123_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2226]) ).
thf(2521,plain,
! [SV242: $i,SV1: $i,SV312: $i] :
( ( ( ~ ( in @ SV312 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV242 @ SV312 )
| ( in @ SV242 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK123_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2227]) ).
thf(2522,plain,
! [SV1: $i,SV194: $i] :
( ( ( ~ ( in @ SV194 @ ( sK123_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY334: $i] :
( ~ ( in @ SY334 @ ( sK123_SY8 @ SV1 ) )
| ( SV194 = SY334 )
| ( in @ SV194 @ SY334 ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2228]) ).
thf(2523,plain,
! [SV1: $i,SV139: $i,SV93: $i] :
( ( ( in @ SV93 @ SV139 )
= $false )
| ( ( in @ SV93 @ SV1 )
= $true )
| ( ( in @ SV139 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK102_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2229]) ).
thf(2524,plain,
! [SV195: $i,SV1: $i,SV243: $i] :
( ( ( in @ SV243 @ SV1 )
= $false )
| ( ( ~ ( in @ SV195 @ SV243 )
| ( in @ SV195 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ( sK102_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2230]) ).
thf(2525,plain,
! [SV1: $i,SV140: $i] :
( ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY291: $i] :
( ~ ( in @ SY291 @ ( sK102_SY8 @ SV1 ) )
| ( SV140 = SY291 )
| ( in @ SV140 @ SY291 ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2231]) ).
thf(2526,plain,
! [SV1: $i,SV141: $i,SV94: $i] :
( ( ( in @ SV94 @ SV141 )
= $false )
| ( ( in @ SV94 @ SV1 )
= $true )
| ( ( in @ SV141 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK103_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2232]) ).
thf(2527,plain,
! [SV196: $i,SV1: $i,SV244: $i] :
( ( ( in @ SV244 @ SV1 )
= $false )
| ( ( ~ ( in @ SV196 @ SV244 )
| ( in @ SV196 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ( sK103_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2233]) ).
thf(2528,plain,
! [SV1: $i,SV142: $i] :
( ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY292: $i] :
( ~ ( in @ SY292 @ ( sK103_SY8 @ SV1 ) )
| ( SV142 = SY292 )
| ( in @ SV142 @ SY292 ) ) )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2234]) ).
thf(2529,plain,
! [SV1: $i,SV143: $i,SV95: $i] :
( ( ( in @ SV95 @ SV143 )
= $false )
| ( ( in @ SV95 @ SV1 )
= $true )
| ( ( in @ SV143 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK104_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2235]) ).
thf(2530,plain,
! [SV197: $i,SV1: $i,SV245: $i] :
( ( ( in @ SV245 @ SV1 )
= $false )
| ( ( ~ ( in @ SV197 @ SV245 )
| ( in @ SV197 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK104_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2236]) ).
thf(2531,plain,
! [SV1: $i,SV144: $i] :
( ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY293: $i] :
( ~ ( in @ SY293 @ ( sK104_SY8 @ SV1 ) )
| ( SV144 = SY293 )
| ( in @ SV144 @ SY293 ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2237]) ).
thf(2532,plain,
! [SV1: $i,SV145: $i,SV96: $i] :
( ( ( in @ SV96 @ SV145 )
= $false )
| ( ( in @ SV96 @ SV1 )
= $true )
| ( ( in @ SV145 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK105_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2238]) ).
thf(2533,plain,
! [SV198: $i,SV1: $i,SV246: $i] :
( ( ( in @ SV246 @ SV1 )
= $false )
| ( ( ~ ( in @ SV198 @ SV246 )
| ( in @ SV198 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK105_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2239]) ).
thf(2534,plain,
! [SV1: $i,SV146: $i] :
( ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY294: $i] :
( ~ ( in @ SY294 @ ( sK105_SY8 @ SV1 ) )
| ( SV146 = SY294 )
| ( in @ SV146 @ SY294 ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2240]) ).
thf(2535,plain,
! [SV199: $i,SV1: $i,SV247: $i] :
( ( ( in @ SV247 @ SV1 )
= $false )
| ( ( ~ ( in @ SV199 @ SV247 )
| ( in @ SV199 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK128_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2241]) ).
thf(2536,plain,
! [SV313: $i,SV1: $i,SV373: $i] :
( ( ( ~ ( in @ SV373 @ SV1 )
| ~ ( in @ SV313 @ SV373 )
| ( in @ SV313 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK128_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2242]) ).
thf(2537,plain,
! [SV1: $i,SV248: $i] :
( ( ( ~ ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
| ~ ! [SY373: $i] :
( ~ ( in @ SY373 @ ( sK128_SY8 @ SV1 ) )
| ( SV248 = SY373 )
| ( in @ SV248 @ SY373 ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2243]) ).
thf(2538,plain,
! [SV200: $i,SV1: $i,SV249: $i] :
( ( ( in @ SV249 @ SV1 )
= $false )
| ( ( ~ ( in @ SV200 @ SV249 )
| ( in @ SV200 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK129_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2244]) ).
thf(2539,plain,
! [SV314: $i,SV1: $i,SV374: $i] :
( ( ( ~ ( in @ SV374 @ SV1 )
| ~ ( in @ SV314 @ SV374 )
| ( in @ SV314 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK129_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2245]) ).
thf(2540,plain,
! [SV1: $i,SV250: $i] :
( ( ( ~ ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
| ~ ! [SY374: $i] :
( ~ ( in @ SY374 @ ( sK129_SY8 @ SV1 ) )
| ( SV250 = SY374 )
| ( in @ SV250 @ SY374 ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2246]) ).
thf(2541,plain,
! [SV251: $i,SV1: $i,SV315: $i] :
( ( ( ~ ( in @ SV315 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV251 @ SV315 )
| ( in @ SV251 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK152_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2247]) ).
thf(2542,plain,
! [SV375: $i,SV1: $i] :
( ( ( ! [SY513: $i] :
( ~ ( in @ SY513 @ SV1 )
| ~ ( in @ SV375 @ SY513 )
| ( in @ SV375 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK152_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2248]) ).
thf(2543,plain,
! [SV1: $i,SV316: $i] :
( ( ( ~ ( ~ ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
| ~ ! [SY443: $i] :
( ~ ( in @ SY443 @ ( sK152_SY8 @ SV1 ) )
| ( SV316 = SY443 )
| ( in @ SV316 @ SY443 ) ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2249]) ).
thf(2544,plain,
! [SV252: $i,SV1: $i,SV317: $i] :
( ( ( ~ ( in @ SV317 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV252 @ SV317 )
| ( in @ SV252 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK153_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2250]) ).
thf(2545,plain,
! [SV376: $i,SV1: $i] :
( ( ( ! [SY514: $i] :
( ~ ( in @ SY514 @ SV1 )
| ~ ( in @ SV376 @ SY514 )
| ( in @ SV376 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK153_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2251]) ).
thf(2546,plain,
! [SV1: $i,SV318: $i] :
( ( ( ~ ( ~ ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
| ~ ! [SY444: $i] :
( ~ ( in @ SY444 @ ( sK153_SY8 @ SV1 ) )
| ( SV318 = SY444 )
| ( in @ SV318 @ SY444 ) ) ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2252]) ).
thf(2547,plain,
! [SV253: $i,SV1: $i,SV319: $i] :
( ( ( ~ ( in @ SV319 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV253 @ SV319 )
| ( in @ SV253 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK154_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2253]) ).
thf(2548,plain,
! [SV377: $i,SV1: $i] :
( ( ( ! [SY515: $i] :
( ~ ( in @ SY515 @ SV1 )
| ~ ( in @ SV377 @ SY515 )
| ( in @ SV377 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK154_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2254]) ).
thf(2549,plain,
! [SV1: $i,SV320: $i] :
( ( ( ~ ( ~ ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
| ~ ! [SY445: $i] :
( ~ ( in @ SY445 @ ( sK154_SY8 @ SV1 ) )
| ( SV320 = SY445 )
| ( in @ SV320 @ SY445 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2255]) ).
thf(2550,plain,
! [SV254: $i,SV1: $i,SV321: $i] :
( ( ( ~ ( in @ SV321 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV254 @ SV321 )
| ( in @ SV254 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK155_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2256]) ).
thf(2551,plain,
! [SV378: $i,SV1: $i] :
( ( ( ! [SY516: $i] :
( ~ ( in @ SY516 @ SV1 )
| ~ ( in @ SV378 @ SY516 )
| ( in @ SV378 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK155_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2257]) ).
thf(2552,plain,
! [SV1: $i,SV322: $i] :
( ( ( ~ ( ~ ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
| ~ ! [SY446: $i] :
( ~ ( in @ SY446 @ ( sK155_SY8 @ SV1 ) )
| ( SV322 = SY446 )
| ( in @ SV322 @ SY446 ) ) ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2258]) ).
thf(2553,plain,
! [SV201: $i,SV1: $i,SV255: $i] :
( ( ( in @ SV255 @ SV1 )
= $false )
| ( ( ~ ( in @ SV201 @ SV255 )
| ( in @ SV201 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK130_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2259]) ).
thf(2554,plain,
! [SV323: $i,SV1: $i,SV379: $i] :
( ( ( ~ ( in @ SV379 @ SV1 )
| ~ ( in @ SV323 @ SV379 )
| ( in @ SV323 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ( sK130_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2260]) ).
thf(2555,plain,
! [SV1: $i,SV256: $i] :
( ( ( ~ ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
| ~ ! [SY379: $i] :
( ~ ( in @ SY379 @ ( sK130_SY8 @ SV1 ) )
| ( SV256 = SY379 )
| ( in @ SV256 @ SY379 ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2261]) ).
thf(2556,plain,
! [SV202: $i,SV1: $i,SV257: $i] :
( ( ( in @ SV257 @ SV1 )
= $false )
| ( ( ~ ( in @ SV202 @ SV257 )
| ( in @ SV202 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK131_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2262]) ).
thf(2557,plain,
! [SV324: $i,SV1: $i,SV380: $i] :
( ( ( ~ ( in @ SV380 @ SV1 )
| ~ ( in @ SV324 @ SV380 )
| ( in @ SV324 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ( sK131_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2263]) ).
thf(2558,plain,
! [SV1: $i,SV258: $i] :
( ( ( ~ ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
| ~ ! [SY380: $i] :
( ~ ( in @ SY380 @ ( sK131_SY8 @ SV1 ) )
| ( SV258 = SY380 )
| ( in @ SV258 @ SY380 ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2264]) ).
thf(2559,plain,
! [SV325: $i,SV1: $i,SV381: $i] :
( ( ( ~ ( in @ SV381 @ SV1 )
| ~ ( in @ SV325 @ SV381 )
| ( in @ SV325 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK176_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2265]) ).
thf(2560,plain,
! [SV1: $i] :
( ( ( ( sK176_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2266]) ).
thf(2561,plain,
! [SV1: $i,SV382: $i] :
( ( ( ~ ~ ( ~ ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
| ~ ! [SY517: $i] :
( ~ ( in @ SY517 @ ( sK176_SY8 @ SV1 ) )
| ( SV382 = SY517 )
| ( in @ SV382 @ SY517 ) ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2267]) ).
thf(2562,plain,
! [SV326: $i,SV1: $i,SV383: $i] :
( ( ( ~ ( in @ SV383 @ SV1 )
| ~ ( in @ SV326 @ SV383 )
| ( in @ SV326 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK177_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2268]) ).
thf(2563,plain,
! [SV1: $i] :
( ( ( ( sK177_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2269]) ).
thf(2564,plain,
! [SV1: $i,SV384: $i] :
( ( ( ~ ~ ( ~ ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
| ~ ! [SY518: $i] :
( ~ ( in @ SY518 @ ( sK177_SY8 @ SV1 ) )
| ( SV384 = SY518 )
| ( in @ SV384 @ SY518 ) ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2270]) ).
thf(2565,plain,
! [SV1: $i] :
( ( ( in @ ( sK186_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2271]) ).
thf(2566,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK186_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2272]) ).
thf(2567,plain,
! [SV1: $i] :
( ( ( ~ ! [SY381: $i] :
~ ~ ( ~ ( in @ SY381 @ ( sK186_SY8 @ SV1 ) )
| ~ ! [SY382: $i] :
( ~ ( in @ SY382 @ ( sK186_SY8 @ SV1 ) )
| ( SY381 = SY382 )
| ( in @ SY381 @ SY382 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2272]) ).
thf(2568,plain,
! [SV1: $i] :
( ( ( in @ ( sK187_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2273]) ).
thf(2569,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK187_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2274]) ).
thf(2570,plain,
! [SV1: $i] :
( ( ( ~ ! [SY383: $i] :
~ ~ ( ~ ( in @ SY383 @ ( sK187_SY8 @ SV1 ) )
| ~ ! [SY384: $i] :
( ~ ( in @ SY384 @ ( sK187_SY8 @ SV1 ) )
| ( SY383 = SY384 )
| ( in @ SY383 @ SY384 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2274]) ).
thf(2571,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK204_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2275]) ).
thf(2572,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK204_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY451: $i] :
~ ~ ( ~ ( in @ SY451 @ ( sK204_SY8 @ SV1 ) )
| ~ ! [SY452: $i] :
( ~ ( in @ SY452 @ ( sK204_SY8 @ SV1 ) )
| ( SY451 = SY452 )
| ( in @ SY451 @ SY452 ) ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2275]) ).
thf(2573,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK205_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2276]) ).
thf(2574,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK205_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY453: $i] :
~ ~ ( ~ ( in @ SY453 @ ( sK205_SY8 @ SV1 ) )
| ~ ! [SY454: $i] :
( ~ ( in @ SY454 @ ( sK205_SY8 @ SV1 ) )
| ( SY453 = SY454 )
| ( in @ SY453 @ SY454 ) ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2276]) ).
thf(2575,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK206_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2277]) ).
thf(2576,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK206_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY455: $i] :
~ ~ ( ~ ( in @ SY455 @ ( sK206_SY8 @ SV1 ) )
| ~ ! [SY456: $i] :
( ~ ( in @ SY456 @ ( sK206_SY8 @ SV1 ) )
| ( SY455 = SY456 )
| ( in @ SY455 @ SY456 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2277]) ).
thf(2577,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK207_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2278]) ).
thf(2578,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK207_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY457: $i] :
~ ~ ( ~ ( in @ SY457 @ ( sK207_SY8 @ SV1 ) )
| ~ ! [SY458: $i] :
( ~ ( in @ SY458 @ ( sK207_SY8 @ SV1 ) )
| ( SY457 = SY458 )
| ( in @ SY457 @ SY458 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2278]) ).
thf(2579,plain,
! [SV1: $i] :
( ( ( in @ ( sK188_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2279]) ).
thf(2580,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK188_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2280]) ).
thf(2581,plain,
! [SV1: $i] :
( ( ( ~ ! [SY385: $i] :
~ ~ ( ~ ( in @ SY385 @ ( sK188_SY8 @ SV1 ) )
| ~ ! [SY386: $i] :
( ~ ( in @ SY386 @ ( sK188_SY8 @ SV1 ) )
| ( SY385 = SY386 )
| ( in @ SY385 @ SY386 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2280]) ).
thf(2582,plain,
! [SV1: $i] :
( ( ( in @ ( sK189_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2281]) ).
thf(2583,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK189_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2282]) ).
thf(2584,plain,
! [SV1: $i] :
( ( ( ~ ! [SY387: $i] :
~ ~ ( ~ ( in @ SY387 @ ( sK189_SY8 @ SV1 ) )
| ~ ! [SY388: $i] :
( ~ ( in @ SY388 @ ( sK189_SY8 @ SV1 ) )
| ( SY387 = SY388 )
| ( in @ SY387 @ SY388 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2282]) ).
thf(2585,plain,
! [SV327: $i,SV1: $i,SV385: $i] :
( ( ( ~ ( in @ SV385 @ SV1 )
| ~ ( in @ SV327 @ SV385 )
| ( in @ SV327 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK178_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2283]) ).
thf(2586,plain,
! [SV1: $i] :
( ( ( ( sK178_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2587,plain,
! [SV1: $i,SV386: $i] :
( ( ( ~ ~ ( ~ ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
| ~ ! [SY519: $i] :
( ~ ( in @ SY519 @ ( sK178_SY8 @ SV1 ) )
| ( SV386 = SY519 )
| ( in @ SV386 @ SY519 ) ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2285]) ).
thf(2588,plain,
! [SV328: $i,SV1: $i,SV387: $i] :
( ( ( ~ ( in @ SV387 @ SV1 )
| ~ ( in @ SV328 @ SV387 )
| ( in @ SV328 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK179_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2286]) ).
thf(2589,plain,
! [SV1: $i] :
( ( ( ( sK179_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2287]) ).
thf(2590,plain,
! [SV1: $i,SV388: $i] :
( ( ( ~ ~ ( ~ ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
| ~ ! [SY520: $i] :
( ~ ( in @ SY520 @ ( sK179_SY8 @ SV1 ) )
| ( SV388 = SY520 )
| ( in @ SV388 @ SY520 ) ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2288]) ).
thf(2591,plain,
! [SV1: $i] :
( ( ( in @ ( sK190_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2289]) ).
thf(2592,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK190_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2290]) ).
thf(2593,plain,
! [SV1: $i] :
( ( ( ~ ! [SY389: $i] :
~ ~ ( ~ ( in @ SY389 @ ( sK190_SY8 @ SV1 ) )
| ~ ! [SY390: $i] :
( ~ ( in @ SY390 @ ( sK190_SY8 @ SV1 ) )
| ( SY389 = SY390 )
| ( in @ SY389 @ SY390 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2290]) ).
thf(2594,plain,
! [SV1: $i] :
( ( ( in @ ( sK191_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2291]) ).
thf(2595,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK191_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2292]) ).
thf(2596,plain,
! [SV1: $i] :
( ( ( ~ ! [SY391: $i] :
~ ~ ( ~ ( in @ SY391 @ ( sK191_SY8 @ SV1 ) )
| ~ ! [SY392: $i] :
( ~ ( in @ SY392 @ ( sK191_SY8 @ SV1 ) )
| ( SY391 = SY392 )
| ( in @ SY391 @ SY392 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2292]) ).
thf(2597,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK208_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2293]) ).
thf(2598,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK208_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY461: $i] :
~ ~ ( ~ ( in @ SY461 @ ( sK208_SY8 @ SV1 ) )
| ~ ! [SY462: $i] :
( ~ ( in @ SY462 @ ( sK208_SY8 @ SV1 ) )
| ( SY461 = SY462 )
| ( in @ SY461 @ SY462 ) ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2293]) ).
thf(2599,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK209_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2294]) ).
thf(2600,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK209_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY463: $i] :
~ ~ ( ~ ( in @ SY463 @ ( sK209_SY8 @ SV1 ) )
| ~ ! [SY464: $i] :
( ~ ( in @ SY464 @ ( sK209_SY8 @ SV1 ) )
| ( SY463 = SY464 )
| ( in @ SY463 @ SY464 ) ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2294]) ).
thf(2601,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK210_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2295]) ).
thf(2602,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK210_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY465: $i] :
~ ~ ( ~ ( in @ SY465 @ ( sK210_SY8 @ SV1 ) )
| ~ ! [SY466: $i] :
( ~ ( in @ SY466 @ ( sK210_SY8 @ SV1 ) )
| ( SY465 = SY466 )
| ( in @ SY465 @ SY466 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2295]) ).
thf(2603,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK211_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2296]) ).
thf(2604,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK211_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY467: $i] :
~ ~ ( ~ ( in @ SY467 @ ( sK211_SY8 @ SV1 ) )
| ~ ! [SY468: $i] :
( ~ ( in @ SY468 @ ( sK211_SY8 @ SV1 ) )
| ( SY467 = SY468 )
| ( in @ SY467 @ SY468 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2296]) ).
thf(2605,plain,
! [SV1: $i] :
( ( ( in @ ( sK192_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2297]) ).
thf(2606,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK192_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2298]) ).
thf(2607,plain,
! [SV1: $i] :
( ( ( ~ ! [SY393: $i] :
~ ~ ( ~ ( in @ SY393 @ ( sK192_SY8 @ SV1 ) )
| ~ ! [SY394: $i] :
( ~ ( in @ SY394 @ ( sK192_SY8 @ SV1 ) )
| ( SY393 = SY394 )
| ( in @ SY393 @ SY394 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2298]) ).
thf(2608,plain,
! [SV1: $i] :
( ( ( in @ ( sK193_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2299]) ).
thf(2609,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK193_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2300]) ).
thf(2610,plain,
! [SV1: $i] :
( ( ( ~ ! [SY395: $i] :
~ ~ ( ~ ( in @ SY395 @ ( sK193_SY8 @ SV1 ) )
| ~ ! [SY396: $i] :
( ~ ( in @ SY396 @ ( sK193_SY8 @ SV1 ) )
| ( SY395 = SY396 )
| ( in @ SY395 @ SY396 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2300]) ).
thf(2611,plain,
! [SV1: $i,SV147: $i,SV97: $i] :
( ( ( in @ SV97 @ SV147 )
= $false )
| ( ( in @ SV97 @ SV1 )
= $true )
| ( ( in @ SV147 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK108_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2301]) ).
thf(2612,plain,
! [SV203: $i,SV1: $i,SV259: $i] :
( ( ( in @ SV259 @ SV1 )
= $false )
| ( ( ~ ( in @ SV203 @ SV259 )
| ( in @ SV203 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK108_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2613,plain,
! [SV1: $i,SV148: $i] :
( ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY303: $i] :
( ~ ( in @ SY303 @ ( sK108_SY8 @ SV1 ) )
| ( SV148 = SY303 )
| ( in @ SV148 @ SY303 ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2303]) ).
thf(2614,plain,
! [SV1: $i,SV149: $i,SV98: $i] :
( ( ( in @ SV98 @ SV149 )
= $false )
| ( ( in @ SV98 @ SV1 )
= $true )
| ( ( in @ SV149 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK109_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2304]) ).
thf(2615,plain,
! [SV204: $i,SV1: $i,SV260: $i] :
( ( ( in @ SV260 @ SV1 )
= $false )
| ( ( ~ ( in @ SV204 @ SV260 )
| ( in @ SV204 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK109_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2305]) ).
thf(2616,plain,
! [SV1: $i,SV150: $i] :
( ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY304: $i] :
( ~ ( in @ SY304 @ ( sK109_SY8 @ SV1 ) )
| ( SV150 = SY304 )
| ( in @ SV150 @ SY304 ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2306]) ).
thf(2617,plain,
! [SV205: $i,SV1: $i,SV261: $i] :
( ( ( in @ SV261 @ SV1 )
= $false )
| ( ( ~ ( in @ SV205 @ SV261 )
| ( in @ SV205 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK136_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2307]) ).
thf(2618,plain,
! [SV329: $i,SV1: $i,SV389: $i] :
( ( ( ~ ( in @ SV389 @ SV1 )
| ~ ( in @ SV329 @ SV389 )
| ( in @ SV329 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK136_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2308]) ).
thf(2619,plain,
! [SV1: $i,SV262: $i] :
( ( ( ~ ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
| ~ ! [SY397: $i] :
( ~ ( in @ SY397 @ ( sK136_SY8 @ SV1 ) )
| ( SV262 = SY397 )
| ( in @ SV262 @ SY397 ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2309]) ).
thf(2620,plain,
! [SV206: $i,SV1: $i,SV263: $i] :
( ( ( in @ SV263 @ SV1 )
= $false )
| ( ( ~ ( in @ SV206 @ SV263 )
| ( in @ SV206 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK137_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2310]) ).
thf(2621,plain,
! [SV330: $i,SV1: $i,SV390: $i] :
( ( ( ~ ( in @ SV390 @ SV1 )
| ~ ( in @ SV330 @ SV390 )
| ( in @ SV330 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK137_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2311]) ).
thf(2622,plain,
! [SV1: $i,SV264: $i] :
( ( ( ~ ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
| ~ ! [SY398: $i] :
( ~ ( in @ SY398 @ ( sK137_SY8 @ SV1 ) )
| ( SV264 = SY398 )
| ( in @ SV264 @ SY398 ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2312]) ).
thf(2623,plain,
! [SV265: $i,SV1: $i,SV331: $i] :
( ( ( ~ ( in @ SV331 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV265 @ SV331 )
| ( in @ SV265 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK160_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2313]) ).
thf(2624,plain,
! [SV391: $i,SV1: $i] :
( ( ( ! [SY521: $i] :
( ~ ( in @ SY521 @ SV1 )
| ~ ( in @ SV391 @ SY521 )
| ( in @ SV391 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK160_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2314]) ).
thf(2625,plain,
! [SV1: $i,SV332: $i] :
( ( ( ~ ( ~ ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
| ~ ! [SY471: $i] :
( ~ ( in @ SY471 @ ( sK160_SY8 @ SV1 ) )
| ( SV332 = SY471 )
| ( in @ SV332 @ SY471 ) ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2315]) ).
thf(2626,plain,
! [SV266: $i,SV1: $i,SV333: $i] :
( ( ( ~ ( in @ SV333 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV266 @ SV333 )
| ( in @ SV266 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK161_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2316]) ).
thf(2627,plain,
! [SV392: $i,SV1: $i] :
( ( ( ! [SY522: $i] :
( ~ ( in @ SY522 @ SV1 )
| ~ ( in @ SV392 @ SY522 )
| ( in @ SV392 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK161_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2317]) ).
thf(2628,plain,
! [SV1: $i,SV334: $i] :
( ( ( ~ ( ~ ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
| ~ ! [SY472: $i] :
( ~ ( in @ SY472 @ ( sK161_SY8 @ SV1 ) )
| ( SV334 = SY472 )
| ( in @ SV334 @ SY472 ) ) ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2318]) ).
thf(2629,plain,
! [SV267: $i,SV1: $i,SV335: $i] :
( ( ( ~ ( in @ SV335 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV267 @ SV335 )
| ( in @ SV267 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK162_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2319]) ).
thf(2630,plain,
! [SV393: $i,SV1: $i] :
( ( ( ! [SY523: $i] :
( ~ ( in @ SY523 @ SV1 )
| ~ ( in @ SV393 @ SY523 )
| ( in @ SV393 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK162_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2320]) ).
thf(2631,plain,
! [SV1: $i,SV336: $i] :
( ( ( ~ ( ~ ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
| ~ ! [SY473: $i] :
( ~ ( in @ SY473 @ ( sK162_SY8 @ SV1 ) )
| ( SV336 = SY473 )
| ( in @ SV336 @ SY473 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2321]) ).
thf(2632,plain,
! [SV268: $i,SV1: $i,SV337: $i] :
( ( ( ~ ( in @ SV337 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV268 @ SV337 )
| ( in @ SV268 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK163_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2322]) ).
thf(2633,plain,
! [SV394: $i,SV1: $i] :
( ( ( ! [SY524: $i] :
( ~ ( in @ SY524 @ SV1 )
| ~ ( in @ SV394 @ SY524 )
| ( in @ SV394 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK163_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2323]) ).
thf(2634,plain,
! [SV1: $i,SV338: $i] :
( ( ( ~ ( ~ ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
| ~ ! [SY474: $i] :
( ~ ( in @ SY474 @ ( sK163_SY8 @ SV1 ) )
| ( SV338 = SY474 )
| ( in @ SV338 @ SY474 ) ) ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2324]) ).
thf(2635,plain,
! [SV207: $i,SV1: $i,SV269: $i] :
( ( ( in @ SV269 @ SV1 )
= $false )
| ( ( ~ ( in @ SV207 @ SV269 )
| ( in @ SV207 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK138_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2325]) ).
thf(2636,plain,
! [SV339: $i,SV1: $i,SV395: $i] :
( ( ( ~ ( in @ SV395 @ SV1 )
| ~ ( in @ SV339 @ SV395 )
| ( in @ SV339 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ( sK138_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2326]) ).
thf(2637,plain,
! [SV1: $i,SV270: $i] :
( ( ( ~ ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
| ~ ! [SY403: $i] :
( ~ ( in @ SY403 @ ( sK138_SY8 @ SV1 ) )
| ( SV270 = SY403 )
| ( in @ SV270 @ SY403 ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2327]) ).
thf(2638,plain,
! [SV208: $i,SV1: $i,SV271: $i] :
( ( ( in @ SV271 @ SV1 )
= $false )
| ( ( ~ ( in @ SV208 @ SV271 )
| ( in @ SV208 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK139_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2328]) ).
thf(2639,plain,
! [SV340: $i,SV1: $i,SV396: $i] :
( ( ( ~ ( in @ SV396 @ SV1 )
| ~ ( in @ SV340 @ SV396 )
| ( in @ SV340 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ( sK139_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2329]) ).
thf(2640,plain,
! [SV1: $i,SV272: $i] :
( ( ( ~ ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
| ~ ! [SY404: $i] :
( ~ ( in @ SY404 @ ( sK139_SY8 @ SV1 ) )
| ( SV272 = SY404 )
| ( in @ SV272 @ SY404 ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2330]) ).
thf(2641,plain,
! [SV1: $i,SV22: $i] :
( ( ( in @ ( sK194_SY111 @ SV22 @ SV1 ) @ ( sK48_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2331]) ).
thf(2642,plain,
! [SV1: $i,SV22: $i] :
( ( ( SV22
= ( sK194_SY111 @ SV22 @ SV1 ) )
= $false )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2332]) ).
thf(2643,plain,
! [SV1: $i,SV22: $i] :
( ( ( in @ SV22 @ ( sK194_SY111 @ SV22 @ SV1 ) )
= $false )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2332]) ).
thf(2644,plain,
! [SV1: $i,SV24: $i] :
( ( ( in @ ( sK195_SY112 @ SV24 @ SV1 ) @ ( sK49_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2333]) ).
thf(2645,plain,
! [SV1: $i,SV24: $i] :
( ( ( SV24
= ( sK195_SY112 @ SV24 @ SV1 ) )
= $false )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2334]) ).
thf(2646,plain,
! [SV1: $i,SV24: $i] :
( ( ( in @ SV24 @ ( sK195_SY112 @ SV24 @ SV1 ) )
= $false )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2334]) ).
thf(2647,plain,
! [SV1: $i,SV151: $i,SV99: $i] :
( ( ( in @ SV99 @ SV151 )
= $false )
| ( ( in @ SV99 @ SV1 )
= $true )
| ( ( in @ SV151 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK72_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2335]) ).
thf(2648,plain,
! [SV1: $i,SV62: $i] :
( ( ( ~ ( in @ ( sK226_SY187 @ SV62 @ SV1 ) @ ( sK72_SY8 @ SV1 ) )
| ( SV62
= ( sK226_SY187 @ SV62 @ SV1 ) )
| ( in @ SV62 @ ( sK226_SY187 @ SV62 @ SV1 ) ) )
= $false )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2336]) ).
thf(2649,plain,
! [SV1: $i,SV152: $i,SV100: $i] :
( ( ( in @ SV100 @ SV152 )
= $false )
| ( ( in @ SV100 @ SV1 )
= $true )
| ( ( in @ SV152 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK73_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2337]) ).
thf(2650,plain,
! [SV1: $i,SV64: $i] :
( ( ( ~ ( in @ ( sK227_SY188 @ SV64 @ SV1 ) @ ( sK73_SY8 @ SV1 ) )
| ( SV64
= ( sK227_SY188 @ SV64 @ SV1 ) )
| ( in @ SV64 @ ( sK227_SY188 @ SV64 @ SV1 ) ) )
= $false )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2338]) ).
thf(2651,plain,
! [SV1: $i,SV209: $i,SV153: $i] :
( ( ( ~ ( in @ SV153 @ SV209 ) )
= $true )
| ( ( in @ SV153 @ SV1 )
= $true )
| ( ( in @ SV209 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK92_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2340]) ).
thf(2652,plain,
! [SV102: $i,SV1: $i] :
( ( ( ! [SY249: $i] :
( ~ ( in @ SY249 @ ( sK92_SY8 @ SV1 ) )
| ( SV102 = SY249 )
| ( in @ SV102 @ SY249 ) ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2341]) ).
thf(2653,plain,
! [SV1: $i,SV210: $i,SV154: $i] :
( ( ( ~ ( in @ SV154 @ SV210 ) )
= $true )
| ( ( in @ SV154 @ SV1 )
= $true )
| ( ( in @ SV210 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK93_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2343]) ).
thf(2654,plain,
! [SV104: $i,SV1: $i] :
( ( ( ! [SY250: $i] :
( ~ ( in @ SY250 @ ( sK93_SY8 @ SV1 ) )
| ( SV104 = SY250 )
| ( in @ SV104 @ SY250 ) ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2344]) ).
thf(2655,plain,
! [SV1: $i,SV211: $i,SV155: $i] :
( ( ( ~ ( in @ SV155 @ SV211 ) )
= $true )
| ( ( in @ SV155 @ SV1 )
= $true )
| ( ( in @ SV211 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK94_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2346]) ).
thf(2656,plain,
! [SV106: $i,SV1: $i] :
( ( ( ! [SY251: $i] :
( ~ ( in @ SY251 @ ( sK94_SY8 @ SV1 ) )
| ( SV106 = SY251 )
| ( in @ SV106 @ SY251 ) ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2347]) ).
thf(2657,plain,
! [SV1: $i,SV212: $i,SV156: $i] :
( ( ( ~ ( in @ SV156 @ SV212 ) )
= $true )
| ( ( in @ SV156 @ SV1 )
= $true )
| ( ( in @ SV212 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK95_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2349]) ).
thf(2658,plain,
! [SV108: $i,SV1: $i] :
( ( ( ! [SY252: $i] :
( ~ ( in @ SY252 @ ( sK95_SY8 @ SV1 ) )
| ( SV108 = SY252 )
| ( in @ SV108 @ SY252 ) ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2350]) ).
thf(2659,plain,
! [SV1: $i,SV157: $i,SV109: $i] :
( ( ( in @ SV109 @ SV157 )
= $false )
| ( ( in @ SV109 @ SV1 )
= $true )
| ( ( in @ SV157 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ( sK74_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2351]) ).
thf(2660,plain,
! [SV1: $i,SV70: $i] :
( ( ( ~ ( in @ ( sK228_SY193 @ SV70 @ SV1 ) @ ( sK74_SY8 @ SV1 ) )
| ( SV70
= ( sK228_SY193 @ SV70 @ SV1 ) )
| ( in @ SV70 @ ( sK228_SY193 @ SV70 @ SV1 ) ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2352]) ).
thf(2661,plain,
! [SV1: $i,SV158: $i,SV110: $i] :
( ( ( in @ SV110 @ SV158 )
= $false )
| ( ( in @ SV110 @ SV1 )
= $true )
| ( ( in @ SV158 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( ( sK75_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2353]) ).
thf(2662,plain,
! [SV1: $i,SV72: $i] :
( ( ( ~ ( in @ ( sK229_SY194 @ SV72 @ SV1 ) @ ( sK75_SY8 @ SV1 ) )
| ( SV72
= ( sK229_SY194 @ SV72 @ SV1 ) )
| ( in @ SV72 @ ( sK229_SY194 @ SV72 @ SV1 ) ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2354]) ).
thf(2663,plain,
! [SV1: $i,SV159: $i,SV111: $i] :
( ( ( in @ SV111 @ SV159 )
= $false )
| ( ( in @ SV111 @ SV1 )
= $true )
| ( ( in @ SV159 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK76_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2355]) ).
thf(2664,plain,
! [SV1: $i,SV74: $i] :
( ( ( ~ ( in @ ( sK230_SY195 @ SV74 @ SV1 ) @ ( sK76_SY8 @ SV1 ) )
| ( SV74
= ( sK230_SY195 @ SV74 @ SV1 ) )
| ( in @ SV74 @ ( sK230_SY195 @ SV74 @ SV1 ) ) )
= $false )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2356]) ).
thf(2665,plain,
! [SV1: $i,SV160: $i,SV112: $i] :
( ( ( in @ SV112 @ SV160 )
= $false )
| ( ( in @ SV112 @ SV1 )
= $true )
| ( ( in @ SV160 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK77_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2357]) ).
thf(2666,plain,
! [SV1: $i,SV76: $i] :
( ( ( ~ ( in @ ( sK231_SY196 @ SV76 @ SV1 ) @ ( sK77_SY8 @ SV1 ) )
| ( SV76
= ( sK231_SY196 @ SV76 @ SV1 ) )
| ( in @ SV76 @ ( sK231_SY196 @ SV76 @ SV1 ) ) )
= $false )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2358]) ).
thf(2667,plain,
! [SV1: $i,SV161: $i,SV113: $i] :
( ( ( in @ SV113 @ SV161 )
= $false )
| ( ( in @ SV113 @ SV1 )
= $true )
| ( ( in @ SV161 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK110_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2359]) ).
thf(2668,plain,
! [SV213: $i,SV1: $i,SV273: $i] :
( ( ( in @ SV273 @ SV1 )
= $false )
| ( ( ~ ( in @ SV213 @ SV273 )
| ( in @ SV213 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK110_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2360]) ).
thf(2669,plain,
! [SV1: $i,SV162: $i] :
( ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY309: $i] :
( ~ ( in @ SY309 @ ( sK110_SY8 @ SV1 ) )
| ( SV162 = SY309 )
| ( in @ SV162 @ SY309 ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2361]) ).
thf(2670,plain,
! [SV1: $i,SV163: $i,SV114: $i] :
( ( ( in @ SV114 @ SV163 )
= $false )
| ( ( in @ SV114 @ SV1 )
= $true )
| ( ( in @ SV163 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK111_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2362]) ).
thf(2671,plain,
! [SV214: $i,SV1: $i,SV274: $i] :
( ( ( in @ SV274 @ SV1 )
= $false )
| ( ( ~ ( in @ SV214 @ SV274 )
| ( in @ SV214 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK111_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2363]) ).
thf(2672,plain,
! [SV1: $i,SV164: $i] :
( ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY310: $i] :
( ~ ( in @ SY310 @ ( sK111_SY8 @ SV1 ) )
| ( SV164 = SY310 )
| ( in @ SV164 @ SY310 ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2364]) ).
thf(2673,plain,
! [SV1: $i,SV215: $i,SV165: $i] :
( ( ( ~ ( in @ SV165 @ SV215 ) )
= $true )
| ( ( in @ SV165 @ SV1 )
= $true )
| ( ( in @ SV215 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK124_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2365]) ).
thf(2674,plain,
! [SV275: $i,SV1: $i,SV341: $i] :
( ( ( ~ ( in @ SV341 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV275 @ SV341 )
| ( in @ SV275 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK124_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2366]) ).
thf(2675,plain,
! [SV1: $i,SV216: $i] :
( ( ( ~ ( in @ SV216 @ ( sK124_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY351: $i] :
( ~ ( in @ SY351 @ ( sK124_SY8 @ SV1 ) )
| ( SV216 = SY351 )
| ( in @ SV216 @ SY351 ) ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2367]) ).
thf(2676,plain,
! [SV1: $i,SV217: $i,SV166: $i] :
( ( ( ~ ( in @ SV166 @ SV217 ) )
= $true )
| ( ( in @ SV166 @ SV1 )
= $true )
| ( ( in @ SV217 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK125_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2368]) ).
thf(2677,plain,
! [SV276: $i,SV1: $i,SV342: $i] :
( ( ( ~ ( in @ SV342 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV276 @ SV342 )
| ( in @ SV276 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK125_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2369]) ).
thf(2678,plain,
! [SV1: $i,SV218: $i] :
( ( ( ~ ( in @ SV218 @ ( sK125_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY352: $i] :
( ~ ( in @ SY352 @ ( sK125_SY8 @ SV1 ) )
| ( SV218 = SY352 )
| ( in @ SV218 @ SY352 ) ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2370]) ).
thf(2679,plain,
! [SV1: $i,SV219: $i,SV167: $i] :
( ( ( ~ ( in @ SV167 @ SV219 ) )
= $true )
| ( ( in @ SV167 @ SV1 )
= $true )
| ( ( in @ SV219 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK126_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2371]) ).
thf(2680,plain,
! [SV277: $i,SV1: $i,SV343: $i] :
( ( ( ~ ( in @ SV343 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV277 @ SV343 )
| ( in @ SV277 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK126_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2372]) ).
thf(2681,plain,
! [SV1: $i,SV220: $i] :
( ( ( ~ ( in @ SV220 @ ( sK126_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY353: $i] :
( ~ ( in @ SY353 @ ( sK126_SY8 @ SV1 ) )
| ( SV220 = SY353 )
| ( in @ SV220 @ SY353 ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2373]) ).
thf(2682,plain,
! [SV1: $i,SV221: $i,SV168: $i] :
( ( ( ~ ( in @ SV168 @ SV221 ) )
= $true )
| ( ( in @ SV168 @ SV1 )
= $true )
| ( ( in @ SV221 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK127_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2374]) ).
thf(2683,plain,
! [SV278: $i,SV1: $i,SV344: $i] :
( ( ( ~ ( in @ SV344 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV278 @ SV344 )
| ( in @ SV278 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK127_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2375]) ).
thf(2684,plain,
! [SV1: $i,SV222: $i] :
( ( ( ~ ( in @ SV222 @ ( sK127_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY354: $i] :
( ~ ( in @ SY354 @ ( sK127_SY8 @ SV1 ) )
| ( SV222 = SY354 )
| ( in @ SV222 @ SY354 ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2376]) ).
thf(2685,plain,
! [SV1: $i,SV169: $i,SV115: $i] :
( ( ( in @ SV115 @ SV169 )
= $false )
| ( ( in @ SV115 @ SV1 )
= $true )
| ( ( in @ SV169 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK112_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2377]) ).
thf(2686,plain,
! [SV223: $i,SV1: $i,SV279: $i] :
( ( ( in @ SV279 @ SV1 )
= $false )
| ( ( ~ ( in @ SV223 @ SV279 )
| ( in @ SV223 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ( sK112_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2378]) ).
thf(2687,plain,
! [SV1: $i,SV170: $i] :
( ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY315: $i] :
( ~ ( in @ SY315 @ ( sK112_SY8 @ SV1 ) )
| ( SV170 = SY315 )
| ( in @ SV170 @ SY315 ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2379]) ).
thf(2688,plain,
! [SV1: $i,SV171: $i,SV116: $i] :
( ( ( in @ SV116 @ SV171 )
= $false )
| ( ( in @ SV116 @ SV1 )
= $true )
| ( ( in @ SV171 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK113_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2380]) ).
thf(2689,plain,
! [SV224: $i,SV1: $i,SV280: $i] :
( ( ( in @ SV280 @ SV1 )
= $false )
| ( ( ~ ( in @ SV224 @ SV280 )
| ( in @ SV224 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ( sK113_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2381]) ).
thf(2690,plain,
! [SV1: $i,SV172: $i] :
( ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY316: $i] :
( ~ ( in @ SY316 @ ( sK113_SY8 @ SV1 ) )
| ( SV172 = SY316 )
| ( in @ SV172 @ SY316 ) ) )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2382]) ).
thf(2691,plain,
! [SV1: $i,SV173: $i,SV117: $i] :
( ( ( in @ SV117 @ SV173 )
= $false )
| ( ( in @ SV117 @ SV1 )
= $true )
| ( ( in @ SV173 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK114_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2383]) ).
thf(2692,plain,
! [SV225: $i,SV1: $i,SV281: $i] :
( ( ( in @ SV281 @ SV1 )
= $false )
| ( ( ~ ( in @ SV225 @ SV281 )
| ( in @ SV225 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK114_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2384]) ).
thf(2693,plain,
! [SV1: $i,SV174: $i] :
( ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY317: $i] :
( ~ ( in @ SY317 @ ( sK114_SY8 @ SV1 ) )
| ( SV174 = SY317 )
| ( in @ SV174 @ SY317 ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2385]) ).
thf(2694,plain,
! [SV1: $i,SV175: $i,SV118: $i] :
( ( ( in @ SV118 @ SV175 )
= $false )
| ( ( in @ SV118 @ SV1 )
= $true )
| ( ( in @ SV175 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK115_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2386]) ).
thf(2695,plain,
! [SV226: $i,SV1: $i,SV282: $i] :
( ( ( in @ SV282 @ SV1 )
= $false )
| ( ( ~ ( in @ SV226 @ SV282 )
| ( in @ SV226 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK115_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2387]) ).
thf(2696,plain,
! [SV1: $i,SV176: $i] :
( ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY318: $i] :
( ~ ( in @ SY318 @ ( sK115_SY8 @ SV1 ) )
| ( SV176 = SY318 )
| ( in @ SV176 @ SY318 ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2388]) ).
thf(2697,plain,
! [SV227: $i,SV1: $i,SV283: $i] :
( ( ( in @ SV283 @ SV1 )
= $false )
| ( ( ~ ( in @ SV227 @ SV283 )
| ( in @ SV227 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK140_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2389]) ).
thf(2698,plain,
! [SV345: $i,SV1: $i,SV397: $i] :
( ( ( ~ ( in @ SV397 @ SV1 )
| ~ ( in @ SV345 @ SV397 )
| ( in @ SV345 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK140_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2390]) ).
thf(2699,plain,
! [SV1: $i,SV284: $i] :
( ( ( ~ ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
| ~ ! [SY409: $i] :
( ~ ( in @ SY409 @ ( sK140_SY8 @ SV1 ) )
| ( SV284 = SY409 )
| ( in @ SV284 @ SY409 ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2391]) ).
thf(2700,plain,
! [SV228: $i,SV1: $i,SV285: $i] :
( ( ( in @ SV285 @ SV1 )
= $false )
| ( ( ~ ( in @ SV228 @ SV285 )
| ( in @ SV228 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK141_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2392]) ).
thf(2701,plain,
! [SV346: $i,SV1: $i,SV398: $i] :
( ( ( ~ ( in @ SV398 @ SV1 )
| ~ ( in @ SV346 @ SV398 )
| ( in @ SV346 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK141_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2393]) ).
thf(2702,plain,
! [SV1: $i,SV286: $i] :
( ( ( ~ ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
| ~ ! [SY410: $i] :
( ~ ( in @ SY410 @ ( sK141_SY8 @ SV1 ) )
| ( SV286 = SY410 )
| ( in @ SV286 @ SY410 ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2394]) ).
thf(2703,plain,
! [SV287: $i,SV1: $i,SV347: $i] :
( ( ( ~ ( in @ SV347 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV287 @ SV347 )
| ( in @ SV287 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK164_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2395]) ).
thf(2704,plain,
! [SV399: $i,SV1: $i] :
( ( ( ! [SY525: $i] :
( ~ ( in @ SY525 @ SV1 )
| ~ ( in @ SV399 @ SY525 )
| ( in @ SV399 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK164_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2396]) ).
thf(2705,plain,
! [SV1: $i,SV348: $i] :
( ( ( ~ ( ~ ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
| ~ ! [SY479: $i] :
( ~ ( in @ SY479 @ ( sK164_SY8 @ SV1 ) )
| ( SV348 = SY479 )
| ( in @ SV348 @ SY479 ) ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2397]) ).
thf(2706,plain,
! [SV288: $i,SV1: $i,SV349: $i] :
( ( ( ~ ( in @ SV349 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV288 @ SV349 )
| ( in @ SV288 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK165_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2398]) ).
thf(2707,plain,
! [SV400: $i,SV1: $i] :
( ( ( ! [SY526: $i] :
( ~ ( in @ SY526 @ SV1 )
| ~ ( in @ SV400 @ SY526 )
| ( in @ SV400 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK165_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2399]) ).
thf(2708,plain,
! [SV1: $i,SV350: $i] :
( ( ( ~ ( ~ ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
| ~ ! [SY480: $i] :
( ~ ( in @ SY480 @ ( sK165_SY8 @ SV1 ) )
| ( SV350 = SY480 )
| ( in @ SV350 @ SY480 ) ) ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2400]) ).
thf(2709,plain,
! [SV289: $i,SV1: $i,SV351: $i] :
( ( ( ~ ( in @ SV351 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV289 @ SV351 )
| ( in @ SV289 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK166_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2401]) ).
thf(2710,plain,
! [SV401: $i,SV1: $i] :
( ( ( ! [SY527: $i] :
( ~ ( in @ SY527 @ SV1 )
| ~ ( in @ SV401 @ SY527 )
| ( in @ SV401 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK166_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2402]) ).
thf(2711,plain,
! [SV1: $i,SV352: $i] :
( ( ( ~ ( ~ ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
| ~ ! [SY481: $i] :
( ~ ( in @ SY481 @ ( sK166_SY8 @ SV1 ) )
| ( SV352 = SY481 )
| ( in @ SV352 @ SY481 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2403]) ).
thf(2712,plain,
! [SV290: $i,SV1: $i,SV353: $i] :
( ( ( ~ ( in @ SV353 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV290 @ SV353 )
| ( in @ SV290 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK167_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2404]) ).
thf(2713,plain,
! [SV402: $i,SV1: $i] :
( ( ( ! [SY528: $i] :
( ~ ( in @ SY528 @ SV1 )
| ~ ( in @ SV402 @ SY528 )
| ( in @ SV402 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK167_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2405]) ).
thf(2714,plain,
! [SV1: $i,SV354: $i] :
( ( ( ~ ( ~ ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
| ~ ! [SY482: $i] :
( ~ ( in @ SY482 @ ( sK167_SY8 @ SV1 ) )
| ( SV354 = SY482 )
| ( in @ SV354 @ SY482 ) ) ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2406]) ).
thf(2715,plain,
! [SV229: $i,SV1: $i,SV291: $i] :
( ( ( in @ SV291 @ SV1 )
= $false )
| ( ( ~ ( in @ SV229 @ SV291 )
| ( in @ SV229 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK142_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2407]) ).
thf(2716,plain,
! [SV355: $i,SV1: $i,SV403: $i] :
( ( ( ~ ( in @ SV403 @ SV1 )
| ~ ( in @ SV355 @ SV403 )
| ( in @ SV355 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ( sK142_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2408]) ).
thf(2717,plain,
! [SV1: $i,SV292: $i] :
( ( ( ~ ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
| ~ ! [SY415: $i] :
( ~ ( in @ SY415 @ ( sK142_SY8 @ SV1 ) )
| ( SV292 = SY415 )
| ( in @ SV292 @ SY415 ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2409]) ).
thf(2718,plain,
! [SV230: $i,SV1: $i,SV293: $i] :
( ( ( in @ SV293 @ SV1 )
= $false )
| ( ( ~ ( in @ SV230 @ SV293 )
| ( in @ SV230 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK143_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2410]) ).
thf(2719,plain,
! [SV356: $i,SV1: $i,SV404: $i] :
( ( ( ~ ( in @ SV404 @ SV1 )
| ~ ( in @ SV356 @ SV404 )
| ( in @ SV356 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ( sK143_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2411]) ).
thf(2720,plain,
! [SV1: $i,SV294: $i] :
( ( ( ~ ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
| ~ ! [SY416: $i] :
( ~ ( in @ SY416 @ ( sK143_SY8 @ SV1 ) )
| ( SV294 = SY416 )
| ( in @ SV294 @ SY416 ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2412]) ).
thf(2721,plain,
! [SV357: $i,SV1: $i,SV405: $i] :
( ( ( ~ ( in @ SV405 @ SV1 )
| ~ ( in @ SV357 @ SV405 )
| ( in @ SV357 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK180_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2413]) ).
thf(2722,plain,
! [SV1: $i] :
( ( ( ( sK180_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2414]) ).
thf(2723,plain,
! [SV1: $i,SV406: $i] :
( ( ( ~ ~ ( ~ ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
| ~ ! [SY529: $i] :
( ~ ( in @ SY529 @ ( sK180_SY8 @ SV1 ) )
| ( SV406 = SY529 )
| ( in @ SV406 @ SY529 ) ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2415]) ).
thf(2724,plain,
! [SV358: $i,SV1: $i,SV407: $i] :
( ( ( ~ ( in @ SV407 @ SV1 )
| ~ ( in @ SV358 @ SV407 )
| ( in @ SV358 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK181_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2416]) ).
thf(2725,plain,
! [SV1: $i] :
( ( ( ( sK181_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2417]) ).
thf(2726,plain,
! [SV1: $i,SV408: $i] :
( ( ( ~ ~ ( ~ ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
| ~ ! [SY530: $i] :
( ~ ( in @ SY530 @ ( sK181_SY8 @ SV1 ) )
| ( SV408 = SY530 )
| ( in @ SV408 @ SY530 ) ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2418]) ).
thf(2727,plain,
! [SV1: $i] :
( ( ( in @ ( sK196_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2419]) ).
thf(2728,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK196_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2729,plain,
! [SV1: $i] :
( ( ( ~ ! [SY417: $i] :
~ ~ ( ~ ( in @ SY417 @ ( sK196_SY8 @ SV1 ) )
| ~ ! [SY418: $i] :
( ~ ( in @ SY418 @ ( sK196_SY8 @ SV1 ) )
| ( SY417 = SY418 )
| ( in @ SY417 @ SY418 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2730,plain,
! [SV1: $i] :
( ( ( in @ ( sK197_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2421]) ).
thf(2731,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK197_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2422]) ).
thf(2732,plain,
! [SV1: $i] :
( ( ( ~ ! [SY419: $i] :
~ ~ ( ~ ( in @ SY419 @ ( sK197_SY8 @ SV1 ) )
| ~ ! [SY420: $i] :
( ~ ( in @ SY420 @ ( sK197_SY8 @ SV1 ) )
| ( SY419 = SY420 )
| ( in @ SY419 @ SY420 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2422]) ).
thf(2733,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK212_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2423]) ).
thf(2734,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK212_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY487: $i] :
~ ~ ( ~ ( in @ SY487 @ ( sK212_SY8 @ SV1 ) )
| ~ ! [SY488: $i] :
( ~ ( in @ SY488 @ ( sK212_SY8 @ SV1 ) )
| ( SY487 = SY488 )
| ( in @ SY487 @ SY488 ) ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2423]) ).
thf(2735,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK213_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2424]) ).
thf(2736,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK213_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY489: $i] :
~ ~ ( ~ ( in @ SY489 @ ( sK213_SY8 @ SV1 ) )
| ~ ! [SY490: $i] :
( ~ ( in @ SY490 @ ( sK213_SY8 @ SV1 ) )
| ( SY489 = SY490 )
| ( in @ SY489 @ SY490 ) ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2424]) ).
thf(2737,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK214_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2425]) ).
thf(2738,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK214_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY491: $i] :
~ ~ ( ~ ( in @ SY491 @ ( sK214_SY8 @ SV1 ) )
| ~ ! [SY492: $i] :
( ~ ( in @ SY492 @ ( sK214_SY8 @ SV1 ) )
| ( SY491 = SY492 )
| ( in @ SY491 @ SY492 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2425]) ).
thf(2739,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK215_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2740,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK215_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY493: $i] :
~ ~ ( ~ ( in @ SY493 @ ( sK215_SY8 @ SV1 ) )
| ~ ! [SY494: $i] :
( ~ ( in @ SY494 @ ( sK215_SY8 @ SV1 ) )
| ( SY493 = SY494 )
| ( in @ SY493 @ SY494 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2741,plain,
! [SV1: $i] :
( ( ( in @ ( sK198_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2427]) ).
thf(2742,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK198_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2428]) ).
thf(2743,plain,
! [SV1: $i] :
( ( ( ~ ! [SY421: $i] :
~ ~ ( ~ ( in @ SY421 @ ( sK198_SY8 @ SV1 ) )
| ~ ! [SY422: $i] :
( ~ ( in @ SY422 @ ( sK198_SY8 @ SV1 ) )
| ( SY421 = SY422 )
| ( in @ SY421 @ SY422 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2428]) ).
thf(2744,plain,
! [SV1: $i] :
( ( ( in @ ( sK199_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2429]) ).
thf(2745,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK199_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2430]) ).
thf(2746,plain,
! [SV1: $i] :
( ( ( ~ ! [SY423: $i] :
~ ~ ( ~ ( in @ SY423 @ ( sK199_SY8 @ SV1 ) )
| ~ ! [SY424: $i] :
( ~ ( in @ SY424 @ ( sK199_SY8 @ SV1 ) )
| ( SY423 = SY424 )
| ( in @ SY423 @ SY424 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2430]) ).
thf(2747,plain,
! [SV359: $i,SV1: $i,SV409: $i] :
( ( ( ~ ( in @ SV409 @ SV1 )
| ~ ( in @ SV359 @ SV409 )
| ( in @ SV359 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK182_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2431]) ).
thf(2748,plain,
! [SV1: $i] :
( ( ( ( sK182_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2432]) ).
thf(2749,plain,
! [SV1: $i,SV410: $i] :
( ( ( ~ ~ ( ~ ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
| ~ ! [SY531: $i] :
( ~ ( in @ SY531 @ ( sK182_SY8 @ SV1 ) )
| ( SV410 = SY531 )
| ( in @ SV410 @ SY531 ) ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2433]) ).
thf(2750,plain,
! [SV360: $i,SV1: $i,SV411: $i] :
( ( ( ~ ( in @ SV411 @ SV1 )
| ~ ( in @ SV360 @ SV411 )
| ( in @ SV360 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK183_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2434]) ).
thf(2751,plain,
! [SV1: $i] :
( ( ( ( sK183_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2435]) ).
thf(2752,plain,
! [SV1: $i,SV412: $i] :
( ( ( ~ ~ ( ~ ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
| ~ ! [SY532: $i] :
( ~ ( in @ SY532 @ ( sK183_SY8 @ SV1 ) )
| ( SV412 = SY532 )
| ( in @ SV412 @ SY532 ) ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2436]) ).
thf(2753,plain,
! [SV1: $i] :
( ( ( in @ ( sK200_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2437]) ).
thf(2754,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK200_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2438]) ).
thf(2755,plain,
! [SV1: $i] :
( ( ( ~ ! [SY425: $i] :
~ ~ ( ~ ( in @ SY425 @ ( sK200_SY8 @ SV1 ) )
| ~ ! [SY426: $i] :
( ~ ( in @ SY426 @ ( sK200_SY8 @ SV1 ) )
| ( SY425 = SY426 )
| ( in @ SY425 @ SY426 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2438]) ).
thf(2756,plain,
! [SV1: $i] :
( ( ( in @ ( sK201_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2439]) ).
thf(2757,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK201_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2440]) ).
thf(2758,plain,
! [SV1: $i] :
( ( ( ~ ! [SY427: $i] :
~ ~ ( ~ ( in @ SY427 @ ( sK201_SY8 @ SV1 ) )
| ~ ! [SY428: $i] :
( ~ ( in @ SY428 @ ( sK201_SY8 @ SV1 ) )
| ( SY427 = SY428 )
| ( in @ SY427 @ SY428 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2440]) ).
thf(2759,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK216_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2441]) ).
thf(2760,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK216_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY497: $i] :
~ ~ ( ~ ( in @ SY497 @ ( sK216_SY8 @ SV1 ) )
| ~ ! [SY498: $i] :
( ~ ( in @ SY498 @ ( sK216_SY8 @ SV1 ) )
| ( SY497 = SY498 )
| ( in @ SY497 @ SY498 ) ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2441]) ).
thf(2761,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK217_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2442]) ).
thf(2762,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK217_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY499: $i] :
~ ~ ( ~ ( in @ SY499 @ ( sK217_SY8 @ SV1 ) )
| ~ ! [SY500: $i] :
( ~ ( in @ SY500 @ ( sK217_SY8 @ SV1 ) )
| ( SY499 = SY500 )
| ( in @ SY499 @ SY500 ) ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2442]) ).
thf(2763,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK218_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2443]) ).
thf(2764,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK218_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY501: $i] :
~ ~ ( ~ ( in @ SY501 @ ( sK218_SY8 @ SV1 ) )
| ~ ! [SY502: $i] :
( ~ ( in @ SY502 @ ( sK218_SY8 @ SV1 ) )
| ( SY501 = SY502 )
| ( in @ SY501 @ SY502 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2443]) ).
thf(2765,plain,
! [SV1: $i] :
( ( ( ~ ( in @ ( sK219_SY8 @ SV1 ) @ ( powerset @ SV1 ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2444]) ).
thf(2766,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK219_SY8 @ SV1 )
!= emptyset ) )
| ~ ! [SY503: $i] :
~ ~ ( ~ ( in @ SY503 @ ( sK219_SY8 @ SV1 ) )
| ~ ! [SY504: $i] :
( ~ ( in @ SY504 @ ( sK219_SY8 @ SV1 ) )
| ( SY503 = SY504 )
| ( in @ SY503 @ SY504 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2444]) ).
thf(2767,plain,
! [SV1: $i] :
( ( ( in @ ( sK202_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2445]) ).
thf(2768,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK202_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2446]) ).
thf(2769,plain,
! [SV1: $i] :
( ( ( ~ ! [SY429: $i] :
~ ~ ( ~ ( in @ SY429 @ ( sK202_SY8 @ SV1 ) )
| ~ ! [SY430: $i] :
( ~ ( in @ SY430 @ ( sK202_SY8 @ SV1 ) )
| ( SY429 = SY430 )
| ( in @ SY429 @ SY430 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2446]) ).
thf(2770,plain,
! [SV1: $i] :
( ( ( in @ ( sK203_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2447]) ).
thf(2771,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK203_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2772,plain,
! [SV1: $i] :
( ( ( ~ ! [SY431: $i] :
~ ~ ( ~ ( in @ SY431 @ ( sK203_SY8 @ SV1 ) )
| ~ ! [SY432: $i] :
( ~ ( in @ SY432 @ ( sK203_SY8 @ SV1 ) )
| ( SY431 = SY432 )
| ( in @ SY431 @ SY432 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2773,plain,
! [SV1: $i,SV177: $i,SV119: $i] :
( ( ( in @ SV119 @ SV177 )
= $false )
| ( ( in @ SV119 @ SV1 )
= $true )
| ( ( in @ SV177 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK118_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2449]) ).
thf(2774,plain,
! [SV231: $i,SV1: $i,SV295: $i] :
( ( ( in @ SV295 @ SV1 )
= $false )
| ( ( ~ ( in @ SV231 @ SV295 )
| ( in @ SV231 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK118_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2450]) ).
thf(2775,plain,
! [SV1: $i,SV178: $i] :
( ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY327: $i] :
( ~ ( in @ SY327 @ ( sK118_SY8 @ SV1 ) )
| ( SV178 = SY327 )
| ( in @ SV178 @ SY327 ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2451]) ).
thf(2776,plain,
! [SV1: $i,SV179: $i,SV120: $i] :
( ( ( in @ SV120 @ SV179 )
= $false )
| ( ( in @ SV120 @ SV1 )
= $true )
| ( ( in @ SV179 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK119_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2452]) ).
thf(2777,plain,
! [SV232: $i,SV1: $i,SV296: $i] :
( ( ( in @ SV296 @ SV1 )
= $false )
| ( ( ~ ( in @ SV232 @ SV296 )
| ( in @ SV232 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK119_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2453]) ).
thf(2778,plain,
! [SV1: $i,SV180: $i] :
( ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY328: $i] :
( ~ ( in @ SY328 @ ( sK119_SY8 @ SV1 ) )
| ( SV180 = SY328 )
| ( in @ SV180 @ SY328 ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2454]) ).
thf(2779,plain,
! [SV233: $i,SV1: $i,SV297: $i] :
( ( ( in @ SV297 @ SV1 )
= $false )
| ( ( ~ ( in @ SV233 @ SV297 )
| ( in @ SV233 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK148_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2455]) ).
thf(2780,plain,
! [SV361: $i,SV1: $i,SV413: $i] :
( ( ( ~ ( in @ SV413 @ SV1 )
| ~ ( in @ SV361 @ SV413 )
| ( in @ SV361 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK148_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2456]) ).
thf(2781,plain,
! [SV1: $i,SV298: $i] :
( ( ( ~ ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
| ~ ! [SY433: $i] :
( ~ ( in @ SY433 @ ( sK148_SY8 @ SV1 ) )
| ( SV298 = SY433 )
| ( in @ SV298 @ SY433 ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2457]) ).
thf(2782,plain,
! [SV234: $i,SV1: $i,SV299: $i] :
( ( ( in @ SV299 @ SV1 )
= $false )
| ( ( ~ ( in @ SV234 @ SV299 )
| ( in @ SV234 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK149_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2458]) ).
thf(2783,plain,
! [SV362: $i,SV1: $i,SV414: $i] :
( ( ( ~ ( in @ SV414 @ SV1 )
| ~ ( in @ SV362 @ SV414 )
| ( in @ SV362 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK149_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2459]) ).
thf(2784,plain,
! [SV1: $i,SV300: $i] :
( ( ( ~ ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
| ~ ! [SY434: $i] :
( ~ ( in @ SY434 @ ( sK149_SY8 @ SV1 ) )
| ( SV300 = SY434 )
| ( in @ SV300 @ SY434 ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2460]) ).
thf(2785,plain,
! [SV301: $i,SV1: $i,SV363: $i] :
( ( ( ~ ( in @ SV363 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV301 @ SV363 )
| ( in @ SV301 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK172_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2461]) ).
thf(2786,plain,
! [SV415: $i,SV1: $i] :
( ( ( ! [SY533: $i] :
( ~ ( in @ SY533 @ SV1 )
| ~ ( in @ SV415 @ SY533 )
| ( in @ SV415 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK172_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2462]) ).
thf(2787,plain,
! [SV1: $i,SV364: $i] :
( ( ( ~ ( ~ ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
| ~ ! [SY507: $i] :
( ~ ( in @ SY507 @ ( sK172_SY8 @ SV1 ) )
| ( SV364 = SY507 )
| ( in @ SV364 @ SY507 ) ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2463]) ).
thf(2788,plain,
! [SV302: $i,SV1: $i,SV365: $i] :
( ( ( ~ ( in @ SV365 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV302 @ SV365 )
| ( in @ SV302 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK173_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2464]) ).
thf(2789,plain,
! [SV416: $i,SV1: $i] :
( ( ( ! [SY534: $i] :
( ~ ( in @ SY534 @ SV1 )
| ~ ( in @ SV416 @ SY534 )
| ( in @ SV416 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK173_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2465]) ).
thf(2790,plain,
! [SV1: $i,SV366: $i] :
( ( ( ~ ( ~ ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
| ~ ! [SY508: $i] :
( ~ ( in @ SY508 @ ( sK173_SY8 @ SV1 ) )
| ( SV366 = SY508 )
| ( in @ SV366 @ SY508 ) ) ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2466]) ).
thf(2791,plain,
! [SV303: $i,SV1: $i,SV367: $i] :
( ( ( ~ ( in @ SV367 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV303 @ SV367 )
| ( in @ SV303 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK174_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2467]) ).
thf(2792,plain,
! [SV417: $i,SV1: $i] :
( ( ( ! [SY535: $i] :
( ~ ( in @ SY535 @ SV1 )
| ~ ( in @ SV417 @ SY535 )
| ( in @ SV417 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK174_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2468]) ).
thf(2793,plain,
! [SV1: $i,SV368: $i] :
( ( ( ~ ( ~ ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
| ~ ! [SY509: $i] :
( ~ ( in @ SY509 @ ( sK174_SY8 @ SV1 ) )
| ( SV368 = SY509 )
| ( in @ SV368 @ SY509 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2469]) ).
thf(2794,plain,
! [SV304: $i,SV1: $i,SV369: $i] :
( ( ( ~ ( in @ SV369 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV304 @ SV369 )
| ( in @ SV304 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK175_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2470]) ).
thf(2795,plain,
! [SV418: $i,SV1: $i] :
( ( ( ! [SY536: $i] :
( ~ ( in @ SY536 @ SV1 )
| ~ ( in @ SV418 @ SY536 )
| ( in @ SV418 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK175_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2471]) ).
thf(2796,plain,
! [SV1: $i,SV370: $i] :
( ( ( ~ ( ~ ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
| ~ ! [SY510: $i] :
( ~ ( in @ SY510 @ ( sK175_SY8 @ SV1 ) )
| ( SV370 = SY510 )
| ( in @ SV370 @ SY510 ) ) ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2472]) ).
thf(2797,plain,
! [SV235: $i,SV1: $i,SV305: $i] :
( ( ( in @ SV305 @ SV1 )
= $false )
| ( ( ~ ( in @ SV235 @ SV305 )
| ( in @ SV235 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK150_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2473]) ).
thf(2798,plain,
! [SV371: $i,SV1: $i,SV419: $i] :
( ( ( ~ ( in @ SV419 @ SV1 )
| ~ ( in @ SV371 @ SV419 )
| ( in @ SV371 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ( sK150_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2474]) ).
thf(2799,plain,
! [SV1: $i,SV306: $i] :
( ( ( ~ ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
| ~ ! [SY439: $i] :
( ~ ( in @ SY439 @ ( sK150_SY8 @ SV1 ) )
| ( SV306 = SY439 )
| ( in @ SV306 @ SY439 ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2475]) ).
thf(2800,plain,
! [SV236: $i,SV1: $i,SV307: $i] :
( ( ( in @ SV307 @ SV1 )
= $false )
| ( ( ~ ( in @ SV236 @ SV307 )
| ( in @ SV236 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK151_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2476]) ).
thf(2801,plain,
! [SV372: $i,SV1: $i,SV420: $i] :
( ( ( ~ ( in @ SV420 @ SV1 )
| ~ ( in @ SV372 @ SV420 )
| ( in @ SV372 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ( sK151_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2477]) ).
thf(2802,plain,
! [SV1: $i,SV308: $i] :
( ( ( ~ ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
| ~ ! [SY440: $i] :
( ~ ( in @ SY440 @ ( sK151_SY8 @ SV1 ) )
| ( SV308 = SY440 )
| ( in @ SV308 @ SY440 ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2478]) ).
thf(2803,plain,
! [SV18: $i,SV421: $i,SV1: $i] :
( ( ( ! [SY537: $i] :
( ~ ( in @ SY537 @ SV1 )
| ~ ( in @ SV421 @ SY537 )
| ( in @ SV421 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK184_SY93 @ SV18 @ SV1 ) @ ( sK40_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2479]) ).
thf(2804,plain,
! [SV18: $i,SV422: $i,SV1: $i] :
( ( ( ! [SY538: $i] :
( ~ ( in @ SY538 @ SV1 )
| ~ ( in @ SV422 @ SY538 )
| ( in @ SV422 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( SV18
= ( sK184_SY93 @ SV18 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2480]) ).
thf(2805,plain,
! [SV18: $i,SV423: $i,SV1: $i] :
( ( ( ! [SY539: $i] :
( ~ ( in @ SY539 @ SV1 )
| ~ ( in @ SV423 @ SY539 )
| ( in @ SV423 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV18 @ ( sK184_SY93 @ SV18 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2481]) ).
thf(2806,plain,
! [SV20: $i,SV424: $i,SV1: $i] :
( ( ( ! [SY540: $i] :
( ~ ( in @ SY540 @ SV1 )
| ~ ( in @ SV424 @ SY540 )
| ( in @ SV424 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK185_SY94 @ SV20 @ SV1 ) @ ( sK41_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2482]) ).
thf(2807,plain,
! [SV20: $i,SV425: $i,SV1: $i] :
( ( ( ! [SY541: $i] :
( ~ ( in @ SY541 @ SV1 )
| ~ ( in @ SV425 @ SY541 )
| ( in @ SV425 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( SV20
= ( sK185_SY94 @ SV20 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2483]) ).
thf(2808,plain,
! [SV20: $i,SV426: $i,SV1: $i] :
( ( ( ! [SY542: $i] :
( ~ ( in @ SY542 @ SV1 )
| ~ ( in @ SV426 @ SY542 )
| ( in @ SV426 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV20 @ ( sK185_SY94 @ SV20 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2484]) ).
thf(2809,plain,
! [SV1: $i,SV44: $i] :
( ( ( ~ ( in @ ( sK220_SY161 @ SV44 @ SV1 ) @ ( sK60_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2486]) ).
thf(2810,plain,
! [SV1: $i,SV44: $i] :
( ( ( ( SV44
= ( sK220_SY161 @ SV44 @ SV1 ) )
| ( in @ SV44 @ ( sK220_SY161 @ SV44 @ SV1 ) ) )
= $false )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2486]) ).
thf(2811,plain,
! [SV1: $i,SV46: $i] :
( ( ( ~ ( in @ ( sK221_SY162 @ SV46 @ SV1 ) @ ( sK61_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2488]) ).
thf(2812,plain,
! [SV1: $i,SV46: $i] :
( ( ( ( SV46
= ( sK221_SY162 @ SV46 @ SV1 ) )
| ( in @ SV46 @ ( sK221_SY162 @ SV46 @ SV1 ) ) )
= $false )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2488]) ).
thf(2813,plain,
! [SV1: $i,SV181: $i,SV123: $i] :
( ( ( in @ SV123 @ SV181 )
= $false )
| ( ( in @ SV123 @ SV1 )
= $true )
| ( ( in @ SV181 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK84_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2489]) ).
thf(2814,plain,
! [SV1: $i,SV80: $i] :
( ( ( ~ ( in @ ( sK232_SY215 @ SV80 @ SV1 ) @ ( sK84_SY8 @ SV1 ) )
| ( SV80
= ( sK232_SY215 @ SV80 @ SV1 ) )
| ( in @ SV80 @ ( sK232_SY215 @ SV80 @ SV1 ) ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2490]) ).
thf(2815,plain,
! [SV1: $i,SV182: $i,SV124: $i] :
( ( ( in @ SV124 @ SV182 )
= $false )
| ( ( in @ SV124 @ SV1 )
= $true )
| ( ( in @ SV182 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK85_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2491]) ).
thf(2816,plain,
! [SV1: $i,SV82: $i] :
( ( ( ~ ( in @ ( sK233_SY216 @ SV82 @ SV1 ) @ ( sK85_SY8 @ SV1 ) )
| ( SV82
= ( sK233_SY216 @ SV82 @ SV1 ) )
| ( in @ SV82 @ ( sK233_SY216 @ SV82 @ SV1 ) ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2492]) ).
thf(2817,plain,
! [SV1: $i,SV183: $i,SV125: $i] :
( ( ( in @ SV125 @ SV183 )
= $false )
| ( ( in @ SV125 @ SV1 )
= $true )
| ( ( in @ SV183 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK86_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2493]) ).
thf(2818,plain,
! [SV1: $i,SV84: $i] :
( ( ( ~ ( in @ ( sK234_SY217 @ SV84 @ SV1 ) @ ( sK86_SY8 @ SV1 ) )
| ( SV84
= ( sK234_SY217 @ SV84 @ SV1 ) )
| ( in @ SV84 @ ( sK234_SY217 @ SV84 @ SV1 ) ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2494]) ).
thf(2819,plain,
! [SV1: $i,SV184: $i,SV126: $i] :
( ( ( in @ SV126 @ SV184 )
= $false )
| ( ( in @ SV126 @ SV1 )
= $true )
| ( ( in @ SV184 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( ( sK87_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2495]) ).
thf(2820,plain,
! [SV1: $i,SV86: $i] :
( ( ( ~ ( in @ ( sK235_SY218 @ SV86 @ SV1 ) @ ( sK87_SY8 @ SV1 ) )
| ( SV86
= ( sK235_SY218 @ SV86 @ SV1 ) )
| ( in @ SV86 @ ( sK235_SY218 @ SV86 @ SV1 ) ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2496]) ).
thf(2821,plain,
! [SV1: $i,SV52: $i] :
( ( ( ~ ( in @ ( sK222_SY167 @ SV52 @ SV1 ) @ ( sK62_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2498]) ).
thf(2822,plain,
! [SV1: $i,SV52: $i] :
( ( ( ( SV52
= ( sK222_SY167 @ SV52 @ SV1 ) )
| ( in @ SV52 @ ( sK222_SY167 @ SV52 @ SV1 ) ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2498]) ).
thf(2823,plain,
! [SV1: $i,SV54: $i] :
( ( ( ~ ( in @ ( sK223_SY168 @ SV54 @ SV1 ) @ ( sK63_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2500]) ).
thf(2824,plain,
! [SV1: $i,SV54: $i] :
( ( ( ( SV54
= ( sK223_SY168 @ SV54 @ SV1 ) )
| ( in @ SV54 @ ( sK223_SY168 @ SV54 @ SV1 ) ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2500]) ).
thf(2825,plain,
! [SV1: $i,SV56: $i] :
( ( ( ~ ( in @ ( sK224_SY169 @ SV56 @ SV1 ) @ ( sK64_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2502]) ).
thf(2826,plain,
! [SV1: $i,SV56: $i] :
( ( ( ( SV56
= ( sK224_SY169 @ SV56 @ SV1 ) )
| ( in @ SV56 @ ( sK224_SY169 @ SV56 @ SV1 ) ) )
= $false )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2502]) ).
thf(2827,plain,
! [SV1: $i,SV58: $i] :
( ( ( ~ ( in @ ( sK225_SY170 @ SV58 @ SV1 ) @ ( sK65_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2504]) ).
thf(2828,plain,
! [SV1: $i,SV58: $i] :
( ( ( ( SV58
= ( sK225_SY170 @ SV58 @ SV1 ) )
| ( in @ SV58 @ ( sK225_SY170 @ SV58 @ SV1 ) ) )
= $false )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2504]) ).
thf(2829,plain,
! [SV1: $i,SV237: $i,SV185: $i] :
( ( ( ~ ( in @ SV185 @ SV237 ) )
= $true )
| ( ( in @ SV185 @ SV1 )
= $true )
| ( ( in @ SV237 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK100_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2506]) ).
thf(2830,plain,
! [SV132: $i,SV1: $i] :
( ( ( ! [SY285: $i] :
( ~ ( in @ SY285 @ ( sK100_SY8 @ SV1 ) )
| ( SV132 = SY285 )
| ( in @ SV132 @ SY285 ) ) )
= $false )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2507]) ).
thf(2831,plain,
! [SV1: $i,SV238: $i,SV186: $i] :
( ( ( ~ ( in @ SV186 @ SV238 ) )
= $true )
| ( ( in @ SV186 @ SV1 )
= $true )
| ( ( in @ SV238 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK101_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2509]) ).
thf(2832,plain,
! [SV134: $i,SV1: $i] :
( ( ( ! [SY286: $i] :
( ~ ( in @ SY286 @ ( sK101_SY8 @ SV1 ) )
| ( SV134 = SY286 )
| ( in @ SV134 @ SY286 ) ) )
= $false )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2510]) ).
thf(2833,plain,
! [SV1: $i,SV187: $i,SV135: $i] :
( ( ( in @ SV135 @ SV187 )
= $false )
| ( ( in @ SV135 @ SV1 )
= $true )
| ( ( in @ SV187 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK120_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2511]) ).
thf(2834,plain,
! [SV239: $i,SV1: $i,SV309: $i] :
( ( ( in @ SV309 @ SV1 )
= $false )
| ( ( ~ ( in @ SV239 @ SV309 )
| ( in @ SV239 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK120_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2512]) ).
thf(2835,plain,
! [SV1: $i,SV188: $i] :
( ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY331: $i] :
( ~ ( in @ SY331 @ ( sK120_SY8 @ SV1 ) )
| ( SV188 = SY331 )
| ( in @ SV188 @ SY331 ) ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2513]) ).
thf(2836,plain,
! [SV1: $i,SV189: $i,SV136: $i] :
( ( ( in @ SV136 @ SV189 )
= $false )
| ( ( in @ SV136 @ SV1 )
= $true )
| ( ( in @ SV189 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK121_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2514]) ).
thf(2837,plain,
! [SV240: $i,SV1: $i,SV310: $i] :
( ( ( in @ SV310 @ SV1 )
= $false )
| ( ( ~ ( in @ SV240 @ SV310 )
| ( in @ SV240 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK121_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2515]) ).
thf(2838,plain,
! [SV1: $i,SV190: $i] :
( ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY332: $i] :
( ~ ( in @ SY332 @ ( sK121_SY8 @ SV1 ) )
| ( SV190 = SY332 )
| ( in @ SV190 @ SY332 ) ) )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2516]) ).
thf(2839,plain,
! [SV1: $i,SV191: $i,SV137: $i] :
( ( ( in @ SV137 @ SV191 )
= $false )
| ( ( in @ SV137 @ SV1 )
= $true )
| ( ( in @ SV191 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK122_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2517]) ).
thf(2840,plain,
! [SV241: $i,SV1: $i,SV311: $i] :
( ( ( in @ SV311 @ SV1 )
= $false )
| ( ( ~ ( in @ SV241 @ SV311 )
| ( in @ SV241 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK122_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2518]) ).
thf(2841,plain,
! [SV1: $i,SV192: $i] :
( ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY333: $i] :
( ~ ( in @ SY333 @ ( sK122_SY8 @ SV1 ) )
| ( SV192 = SY333 )
| ( in @ SV192 @ SY333 ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2519]) ).
thf(2842,plain,
! [SV1: $i,SV193: $i,SV138: $i] :
( ( ( in @ SV138 @ SV193 )
= $false )
| ( ( in @ SV138 @ SV1 )
= $true )
| ( ( in @ SV193 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK123_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2520]) ).
thf(2843,plain,
! [SV242: $i,SV1: $i,SV312: $i] :
( ( ( in @ SV312 @ SV1 )
= $false )
| ( ( ~ ( in @ SV242 @ SV312 )
| ( in @ SV242 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK123_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2521]) ).
thf(2844,plain,
! [SV1: $i,SV194: $i] :
( ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY334: $i] :
( ~ ( in @ SY334 @ ( sK123_SY8 @ SV1 ) )
| ( SV194 = SY334 )
| ( in @ SV194 @ SY334 ) ) )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2522]) ).
thf(2845,plain,
! [SV1: $i,SV243: $i,SV195: $i] :
( ( ( ~ ( in @ SV195 @ SV243 ) )
= $true )
| ( ( in @ SV195 @ SV1 )
= $true )
| ( ( in @ SV243 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ( sK102_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2524]) ).
thf(2846,plain,
! [SV140: $i,SV1: $i] :
( ( ( ! [SY291: $i] :
( ~ ( in @ SY291 @ ( sK102_SY8 @ SV1 ) )
| ( SV140 = SY291 )
| ( in @ SV140 @ SY291 ) ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2525]) ).
thf(2847,plain,
! [SV1: $i,SV244: $i,SV196: $i] :
( ( ( ~ ( in @ SV196 @ SV244 ) )
= $true )
| ( ( in @ SV196 @ SV1 )
= $true )
| ( ( in @ SV244 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ( sK103_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2527]) ).
thf(2848,plain,
! [SV142: $i,SV1: $i] :
( ( ( ! [SY292: $i] :
( ~ ( in @ SY292 @ ( sK103_SY8 @ SV1 ) )
| ( SV142 = SY292 )
| ( in @ SV142 @ SY292 ) ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2528]) ).
thf(2849,plain,
! [SV1: $i,SV245: $i,SV197: $i] :
( ( ( ~ ( in @ SV197 @ SV245 ) )
= $true )
| ( ( in @ SV197 @ SV1 )
= $true )
| ( ( in @ SV245 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK104_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2530]) ).
thf(2850,plain,
! [SV144: $i,SV1: $i] :
( ( ( ! [SY293: $i] :
( ~ ( in @ SY293 @ ( sK104_SY8 @ SV1 ) )
| ( SV144 = SY293 )
| ( in @ SV144 @ SY293 ) ) )
= $false )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2531]) ).
thf(2851,plain,
! [SV1: $i,SV246: $i,SV198: $i] :
( ( ( ~ ( in @ SV198 @ SV246 ) )
= $true )
| ( ( in @ SV198 @ SV1 )
= $true )
| ( ( in @ SV246 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK105_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2533]) ).
thf(2852,plain,
! [SV146: $i,SV1: $i] :
( ( ( ! [SY294: $i] :
( ~ ( in @ SY294 @ ( sK105_SY8 @ SV1 ) )
| ( SV146 = SY294 )
| ( in @ SV146 @ SY294 ) ) )
= $false )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2534]) ).
thf(2853,plain,
! [SV1: $i,SV247: $i,SV199: $i] :
( ( ( ~ ( in @ SV199 @ SV247 ) )
= $true )
| ( ( in @ SV199 @ SV1 )
= $true )
| ( ( in @ SV247 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK128_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2535]) ).
thf(2854,plain,
! [SV313: $i,SV1: $i,SV373: $i] :
( ( ( ~ ( in @ SV373 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV313 @ SV373 )
| ( in @ SV313 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK128_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2536]) ).
thf(2855,plain,
! [SV1: $i,SV248: $i] :
( ( ( ~ ( in @ SV248 @ ( sK128_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY373: $i] :
( ~ ( in @ SY373 @ ( sK128_SY8 @ SV1 ) )
| ( SV248 = SY373 )
| ( in @ SV248 @ SY373 ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2537]) ).
thf(2856,plain,
! [SV1: $i,SV249: $i,SV200: $i] :
( ( ( ~ ( in @ SV200 @ SV249 ) )
= $true )
| ( ( in @ SV200 @ SV1 )
= $true )
| ( ( in @ SV249 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK129_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2538]) ).
thf(2857,plain,
! [SV314: $i,SV1: $i,SV374: $i] :
( ( ( ~ ( in @ SV374 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV314 @ SV374 )
| ( in @ SV314 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK129_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2539]) ).
thf(2858,plain,
! [SV1: $i,SV250: $i] :
( ( ( ~ ( in @ SV250 @ ( sK129_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY374: $i] :
( ~ ( in @ SY374 @ ( sK129_SY8 @ SV1 ) )
| ( SV250 = SY374 )
| ( in @ SV250 @ SY374 ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2540]) ).
thf(2859,plain,
! [SV251: $i,SV1: $i,SV315: $i] :
( ( ( in @ SV315 @ SV1 )
= $false )
| ( ( ~ ( in @ SV251 @ SV315 )
| ( in @ SV251 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK152_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2541]) ).
thf(2860,plain,
! [SV375: $i,SV1: $i,SV427: $i] :
( ( ( ~ ( in @ SV427 @ SV1 )
| ~ ( in @ SV375 @ SV427 )
| ( in @ SV375 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK152_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2542]) ).
thf(2861,plain,
! [SV1: $i,SV316: $i] :
( ( ( ~ ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
| ~ ! [SY443: $i] :
( ~ ( in @ SY443 @ ( sK152_SY8 @ SV1 ) )
| ( SV316 = SY443 )
| ( in @ SV316 @ SY443 ) ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2543]) ).
thf(2862,plain,
! [SV252: $i,SV1: $i,SV317: $i] :
( ( ( in @ SV317 @ SV1 )
= $false )
| ( ( ~ ( in @ SV252 @ SV317 )
| ( in @ SV252 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK153_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2544]) ).
thf(2863,plain,
! [SV376: $i,SV1: $i,SV428: $i] :
( ( ( ~ ( in @ SV428 @ SV1 )
| ~ ( in @ SV376 @ SV428 )
| ( in @ SV376 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK153_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2545]) ).
thf(2864,plain,
! [SV1: $i,SV318: $i] :
( ( ( ~ ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
| ~ ! [SY444: $i] :
( ~ ( in @ SY444 @ ( sK153_SY8 @ SV1 ) )
| ( SV318 = SY444 )
| ( in @ SV318 @ SY444 ) ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2546]) ).
thf(2865,plain,
! [SV253: $i,SV1: $i,SV319: $i] :
( ( ( in @ SV319 @ SV1 )
= $false )
| ( ( ~ ( in @ SV253 @ SV319 )
| ( in @ SV253 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK154_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2547]) ).
thf(2866,plain,
! [SV377: $i,SV1: $i,SV429: $i] :
( ( ( ~ ( in @ SV429 @ SV1 )
| ~ ( in @ SV377 @ SV429 )
| ( in @ SV377 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK154_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2548]) ).
thf(2867,plain,
! [SV1: $i,SV320: $i] :
( ( ( ~ ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
| ~ ! [SY445: $i] :
( ~ ( in @ SY445 @ ( sK154_SY8 @ SV1 ) )
| ( SV320 = SY445 )
| ( in @ SV320 @ SY445 ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2549]) ).
thf(2868,plain,
! [SV254: $i,SV1: $i,SV321: $i] :
( ( ( in @ SV321 @ SV1 )
= $false )
| ( ( ~ ( in @ SV254 @ SV321 )
| ( in @ SV254 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK155_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2550]) ).
thf(2869,plain,
! [SV378: $i,SV1: $i,SV430: $i] :
( ( ( ~ ( in @ SV430 @ SV1 )
| ~ ( in @ SV378 @ SV430 )
| ( in @ SV378 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK155_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2551]) ).
thf(2870,plain,
! [SV1: $i,SV322: $i] :
( ( ( ~ ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
| ~ ! [SY446: $i] :
( ~ ( in @ SY446 @ ( sK155_SY8 @ SV1 ) )
| ( SV322 = SY446 )
| ( in @ SV322 @ SY446 ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2552]) ).
thf(2871,plain,
! [SV1: $i,SV255: $i,SV201: $i] :
( ( ( ~ ( in @ SV201 @ SV255 ) )
= $true )
| ( ( in @ SV201 @ SV1 )
= $true )
| ( ( in @ SV255 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK130_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2553]) ).
thf(2872,plain,
! [SV323: $i,SV1: $i,SV379: $i] :
( ( ( ~ ( in @ SV379 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV323 @ SV379 )
| ( in @ SV323 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ( sK130_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2554]) ).
thf(2873,plain,
! [SV1: $i,SV256: $i] :
( ( ( ~ ( in @ SV256 @ ( sK130_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY379: $i] :
( ~ ( in @ SY379 @ ( sK130_SY8 @ SV1 ) )
| ( SV256 = SY379 )
| ( in @ SV256 @ SY379 ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2555]) ).
thf(2874,plain,
! [SV1: $i,SV257: $i,SV202: $i] :
( ( ( ~ ( in @ SV202 @ SV257 ) )
= $true )
| ( ( in @ SV202 @ SV1 )
= $true )
| ( ( in @ SV257 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK131_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2556]) ).
thf(2875,plain,
! [SV324: $i,SV1: $i,SV380: $i] :
( ( ( ~ ( in @ SV380 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV324 @ SV380 )
| ( in @ SV324 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ( sK131_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2557]) ).
thf(2876,plain,
! [SV1: $i,SV258: $i] :
( ( ( ~ ( in @ SV258 @ ( sK131_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY380: $i] :
( ~ ( in @ SY380 @ ( sK131_SY8 @ SV1 ) )
| ( SV258 = SY380 )
| ( in @ SV258 @ SY380 ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2558]) ).
thf(2877,plain,
! [SV325: $i,SV1: $i,SV381: $i] :
( ( ( ~ ( in @ SV381 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV325 @ SV381 )
| ( in @ SV325 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK176_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2559]) ).
thf(2878,plain,
! [SV431: $i,SV1: $i] :
( ( ( ! [SY543: $i] :
( ~ ( in @ SY543 @ SV1 )
| ~ ( in @ SV431 @ SY543 )
| ( in @ SV431 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK176_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2560]) ).
thf(2879,plain,
! [SV1: $i,SV382: $i] :
( ( ( ~ ( ~ ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
| ~ ! [SY517: $i] :
( ~ ( in @ SY517 @ ( sK176_SY8 @ SV1 ) )
| ( SV382 = SY517 )
| ( in @ SV382 @ SY517 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2561]) ).
thf(2880,plain,
! [SV326: $i,SV1: $i,SV383: $i] :
( ( ( ~ ( in @ SV383 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV326 @ SV383 )
| ( in @ SV326 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK177_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2562]) ).
thf(2881,plain,
! [SV432: $i,SV1: $i] :
( ( ( ! [SY544: $i] :
( ~ ( in @ SY544 @ SV1 )
| ~ ( in @ SV432 @ SY544 )
| ( in @ SV432 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK177_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2563]) ).
thf(2882,plain,
! [SV1: $i,SV384: $i] :
( ( ( ~ ( ~ ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
| ~ ! [SY518: $i] :
( ~ ( in @ SY518 @ ( sK177_SY8 @ SV1 ) )
| ( SV384 = SY518 )
| ( in @ SV384 @ SY518 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2564]) ).
thf(2883,plain,
! [SV433: $i,SV1: $i] :
( ( ( ! [SY545: $i] :
( ~ ( in @ SY545 @ SV1 )
| ~ ( in @ SV433 @ SY545 )
| ( in @ SV433 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK186_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2565]) ).
thf(2884,plain,
! [SV1: $i] :
( ( ( ( ( sK186_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2566]) ).
thf(2885,plain,
! [SV1: $i] :
( ( ( ! [SY381: $i] :
~ ~ ( ~ ( in @ SY381 @ ( sK186_SY8 @ SV1 ) )
| ~ ! [SY382: $i] :
( ~ ( in @ SY382 @ ( sK186_SY8 @ SV1 ) )
| ( SY381 = SY382 )
| ( in @ SY381 @ SY382 ) ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2567]) ).
thf(2886,plain,
! [SV434: $i,SV1: $i] :
( ( ( ! [SY546: $i] :
( ~ ( in @ SY546 @ SV1 )
| ~ ( in @ SV434 @ SY546 )
| ( in @ SV434 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK187_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2568]) ).
thf(2887,plain,
! [SV1: $i] :
( ( ( ( ( sK187_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2569]) ).
thf(2888,plain,
! [SV1: $i] :
( ( ( ! [SY383: $i] :
~ ~ ( ~ ( in @ SY383 @ ( sK187_SY8 @ SV1 ) )
| ~ ! [SY384: $i] :
( ~ ( in @ SY384 @ ( sK187_SY8 @ SV1 ) )
| ( SY383 = SY384 )
| ( in @ SY383 @ SY384 ) ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2570]) ).
thf(2889,plain,
! [SV1: $i] :
( ( ( in @ ( sK204_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2571]) ).
thf(2890,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK204_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2572]) ).
thf(2891,plain,
! [SV1: $i] :
( ( ( ~ ! [SY451: $i] :
~ ~ ( ~ ( in @ SY451 @ ( sK204_SY8 @ SV1 ) )
| ~ ! [SY452: $i] :
( ~ ( in @ SY452 @ ( sK204_SY8 @ SV1 ) )
| ( SY451 = SY452 )
| ( in @ SY451 @ SY452 ) ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2572]) ).
thf(2892,plain,
! [SV1: $i] :
( ( ( in @ ( sK205_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2573]) ).
thf(2893,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK205_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2574]) ).
thf(2894,plain,
! [SV1: $i] :
( ( ( ~ ! [SY453: $i] :
~ ~ ( ~ ( in @ SY453 @ ( sK205_SY8 @ SV1 ) )
| ~ ! [SY454: $i] :
( ~ ( in @ SY454 @ ( sK205_SY8 @ SV1 ) )
| ( SY453 = SY454 )
| ( in @ SY453 @ SY454 ) ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2574]) ).
thf(2895,plain,
! [SV1: $i] :
( ( ( in @ ( sK206_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2575]) ).
thf(2896,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK206_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2576]) ).
thf(2897,plain,
! [SV1: $i] :
( ( ( ~ ! [SY455: $i] :
~ ~ ( ~ ( in @ SY455 @ ( sK206_SY8 @ SV1 ) )
| ~ ! [SY456: $i] :
( ~ ( in @ SY456 @ ( sK206_SY8 @ SV1 ) )
| ( SY455 = SY456 )
| ( in @ SY455 @ SY456 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2576]) ).
thf(2898,plain,
! [SV1: $i] :
( ( ( in @ ( sK207_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2577]) ).
thf(2899,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK207_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2578]) ).
thf(2900,plain,
! [SV1: $i] :
( ( ( ~ ! [SY457: $i] :
~ ~ ( ~ ( in @ SY457 @ ( sK207_SY8 @ SV1 ) )
| ~ ! [SY458: $i] :
( ~ ( in @ SY458 @ ( sK207_SY8 @ SV1 ) )
| ( SY457 = SY458 )
| ( in @ SY457 @ SY458 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2578]) ).
thf(2901,plain,
! [SV435: $i,SV1: $i] :
( ( ( ! [SY547: $i] :
( ~ ( in @ SY547 @ SV1 )
| ~ ( in @ SV435 @ SY547 )
| ( in @ SV435 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK188_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2579]) ).
thf(2902,plain,
! [SV1: $i] :
( ( ( ( ( sK188_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2580]) ).
thf(2903,plain,
! [SV1: $i] :
( ( ( ! [SY385: $i] :
~ ~ ( ~ ( in @ SY385 @ ( sK188_SY8 @ SV1 ) )
| ~ ! [SY386: $i] :
( ~ ( in @ SY386 @ ( sK188_SY8 @ SV1 ) )
| ( SY385 = SY386 )
| ( in @ SY385 @ SY386 ) ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2581]) ).
thf(2904,plain,
! [SV436: $i,SV1: $i] :
( ( ( ! [SY548: $i] :
( ~ ( in @ SY548 @ SV1 )
| ~ ( in @ SV436 @ SY548 )
| ( in @ SV436 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK189_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2582]) ).
thf(2905,plain,
! [SV1: $i] :
( ( ( ( ( sK189_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2583]) ).
thf(2906,plain,
! [SV1: $i] :
( ( ( ! [SY387: $i] :
~ ~ ( ~ ( in @ SY387 @ ( sK189_SY8 @ SV1 ) )
| ~ ! [SY388: $i] :
( ~ ( in @ SY388 @ ( sK189_SY8 @ SV1 ) )
| ( SY387 = SY388 )
| ( in @ SY387 @ SY388 ) ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2584]) ).
thf(2907,plain,
! [SV327: $i,SV1: $i,SV385: $i] :
( ( ( ~ ( in @ SV385 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV327 @ SV385 )
| ( in @ SV327 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK178_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2585]) ).
thf(2908,plain,
! [SV437: $i,SV1: $i] :
( ( ( ! [SY549: $i] :
( ~ ( in @ SY549 @ SV1 )
| ~ ( in @ SV437 @ SY549 )
| ( in @ SV437 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK178_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2586]) ).
thf(2909,plain,
! [SV1: $i,SV386: $i] :
( ( ( ~ ( ~ ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
| ~ ! [SY519: $i] :
( ~ ( in @ SY519 @ ( sK178_SY8 @ SV1 ) )
| ( SV386 = SY519 )
| ( in @ SV386 @ SY519 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2587]) ).
thf(2910,plain,
! [SV328: $i,SV1: $i,SV387: $i] :
( ( ( ~ ( in @ SV387 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV328 @ SV387 )
| ( in @ SV328 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK179_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2588]) ).
thf(2911,plain,
! [SV438: $i,SV1: $i] :
( ( ( ! [SY550: $i] :
( ~ ( in @ SY550 @ SV1 )
| ~ ( in @ SV438 @ SY550 )
| ( in @ SV438 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK179_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2589]) ).
thf(2912,plain,
! [SV1: $i,SV388: $i] :
( ( ( ~ ( ~ ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
| ~ ! [SY520: $i] :
( ~ ( in @ SY520 @ ( sK179_SY8 @ SV1 ) )
| ( SV388 = SY520 )
| ( in @ SV388 @ SY520 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2590]) ).
thf(2913,plain,
! [SV439: $i,SV1: $i] :
( ( ( ! [SY551: $i] :
( ~ ( in @ SY551 @ SV1 )
| ~ ( in @ SV439 @ SY551 )
| ( in @ SV439 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK190_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2591]) ).
thf(2914,plain,
! [SV1: $i] :
( ( ( ( ( sK190_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2592]) ).
thf(2915,plain,
! [SV1: $i] :
( ( ( ! [SY389: $i] :
~ ~ ( ~ ( in @ SY389 @ ( sK190_SY8 @ SV1 ) )
| ~ ! [SY390: $i] :
( ~ ( in @ SY390 @ ( sK190_SY8 @ SV1 ) )
| ( SY389 = SY390 )
| ( in @ SY389 @ SY390 ) ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2593]) ).
thf(2916,plain,
! [SV440: $i,SV1: $i] :
( ( ( ! [SY552: $i] :
( ~ ( in @ SY552 @ SV1 )
| ~ ( in @ SV440 @ SY552 )
| ( in @ SV440 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK191_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2594]) ).
thf(2917,plain,
! [SV1: $i] :
( ( ( ( ( sK191_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2595]) ).
thf(2918,plain,
! [SV1: $i] :
( ( ( ! [SY391: $i] :
~ ~ ( ~ ( in @ SY391 @ ( sK191_SY8 @ SV1 ) )
| ~ ! [SY392: $i] :
( ~ ( in @ SY392 @ ( sK191_SY8 @ SV1 ) )
| ( SY391 = SY392 )
| ( in @ SY391 @ SY392 ) ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2596]) ).
thf(2919,plain,
! [SV1: $i] :
( ( ( in @ ( sK208_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2597]) ).
thf(2920,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK208_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2598]) ).
thf(2921,plain,
! [SV1: $i] :
( ( ( ~ ! [SY461: $i] :
~ ~ ( ~ ( in @ SY461 @ ( sK208_SY8 @ SV1 ) )
| ~ ! [SY462: $i] :
( ~ ( in @ SY462 @ ( sK208_SY8 @ SV1 ) )
| ( SY461 = SY462 )
| ( in @ SY461 @ SY462 ) ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2598]) ).
thf(2922,plain,
! [SV1: $i] :
( ( ( in @ ( sK209_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2599]) ).
thf(2923,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK209_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2600]) ).
thf(2924,plain,
! [SV1: $i] :
( ( ( ~ ! [SY463: $i] :
~ ~ ( ~ ( in @ SY463 @ ( sK209_SY8 @ SV1 ) )
| ~ ! [SY464: $i] :
( ~ ( in @ SY464 @ ( sK209_SY8 @ SV1 ) )
| ( SY463 = SY464 )
| ( in @ SY463 @ SY464 ) ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2600]) ).
thf(2925,plain,
! [SV1: $i] :
( ( ( in @ ( sK210_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2601]) ).
thf(2926,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK210_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2602]) ).
thf(2927,plain,
! [SV1: $i] :
( ( ( ~ ! [SY465: $i] :
~ ~ ( ~ ( in @ SY465 @ ( sK210_SY8 @ SV1 ) )
| ~ ! [SY466: $i] :
( ~ ( in @ SY466 @ ( sK210_SY8 @ SV1 ) )
| ( SY465 = SY466 )
| ( in @ SY465 @ SY466 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2602]) ).
thf(2928,plain,
! [SV1: $i] :
( ( ( in @ ( sK211_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2603]) ).
thf(2929,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK211_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2604]) ).
thf(2930,plain,
! [SV1: $i] :
( ( ( ~ ! [SY467: $i] :
~ ~ ( ~ ( in @ SY467 @ ( sK211_SY8 @ SV1 ) )
| ~ ! [SY468: $i] :
( ~ ( in @ SY468 @ ( sK211_SY8 @ SV1 ) )
| ( SY467 = SY468 )
| ( in @ SY467 @ SY468 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2604]) ).
thf(2931,plain,
! [SV441: $i,SV1: $i] :
( ( ( ! [SY553: $i] :
( ~ ( in @ SY553 @ SV1 )
| ~ ( in @ SV441 @ SY553 )
| ( in @ SV441 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK192_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2605]) ).
thf(2932,plain,
! [SV1: $i] :
( ( ( ( ( sK192_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2606]) ).
thf(2933,plain,
! [SV1: $i] :
( ( ( ! [SY393: $i] :
~ ~ ( ~ ( in @ SY393 @ ( sK192_SY8 @ SV1 ) )
| ~ ! [SY394: $i] :
( ~ ( in @ SY394 @ ( sK192_SY8 @ SV1 ) )
| ( SY393 = SY394 )
| ( in @ SY393 @ SY394 ) ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2607]) ).
thf(2934,plain,
! [SV442: $i,SV1: $i] :
( ( ( ! [SY554: $i] :
( ~ ( in @ SY554 @ SV1 )
| ~ ( in @ SV442 @ SY554 )
| ( in @ SV442 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK193_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2608]) ).
thf(2935,plain,
! [SV1: $i] :
( ( ( ( ( sK193_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2609]) ).
thf(2936,plain,
! [SV1: $i] :
( ( ( ! [SY395: $i] :
~ ~ ( ~ ( in @ SY395 @ ( sK193_SY8 @ SV1 ) )
| ~ ! [SY396: $i] :
( ~ ( in @ SY396 @ ( sK193_SY8 @ SV1 ) )
| ( SY395 = SY396 )
| ( in @ SY395 @ SY396 ) ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2610]) ).
thf(2937,plain,
! [SV1: $i,SV259: $i,SV203: $i] :
( ( ( ~ ( in @ SV203 @ SV259 ) )
= $true )
| ( ( in @ SV203 @ SV1 )
= $true )
| ( ( in @ SV259 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK108_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2612]) ).
thf(2938,plain,
! [SV148: $i,SV1: $i] :
( ( ( ! [SY303: $i] :
( ~ ( in @ SY303 @ ( sK108_SY8 @ SV1 ) )
| ( SV148 = SY303 )
| ( in @ SV148 @ SY303 ) ) )
= $false )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2613]) ).
thf(2939,plain,
! [SV1: $i,SV260: $i,SV204: $i] :
( ( ( ~ ( in @ SV204 @ SV260 ) )
= $true )
| ( ( in @ SV204 @ SV1 )
= $true )
| ( ( in @ SV260 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK109_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2615]) ).
thf(2940,plain,
! [SV150: $i,SV1: $i] :
( ( ( ! [SY304: $i] :
( ~ ( in @ SY304 @ ( sK109_SY8 @ SV1 ) )
| ( SV150 = SY304 )
| ( in @ SV150 @ SY304 ) ) )
= $false )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2616]) ).
thf(2941,plain,
! [SV1: $i,SV261: $i,SV205: $i] :
( ( ( ~ ( in @ SV205 @ SV261 ) )
= $true )
| ( ( in @ SV205 @ SV1 )
= $true )
| ( ( in @ SV261 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK136_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2617]) ).
thf(2942,plain,
! [SV329: $i,SV1: $i,SV389: $i] :
( ( ( ~ ( in @ SV389 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV329 @ SV389 )
| ( in @ SV329 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK136_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2618]) ).
thf(2943,plain,
! [SV1: $i,SV262: $i] :
( ( ( ~ ( in @ SV262 @ ( sK136_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY397: $i] :
( ~ ( in @ SY397 @ ( sK136_SY8 @ SV1 ) )
| ( SV262 = SY397 )
| ( in @ SV262 @ SY397 ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2619]) ).
thf(2944,plain,
! [SV1: $i,SV263: $i,SV206: $i] :
( ( ( ~ ( in @ SV206 @ SV263 ) )
= $true )
| ( ( in @ SV206 @ SV1 )
= $true )
| ( ( in @ SV263 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK137_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2620]) ).
thf(2945,plain,
! [SV330: $i,SV1: $i,SV390: $i] :
( ( ( ~ ( in @ SV390 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV330 @ SV390 )
| ( in @ SV330 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK137_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2621]) ).
thf(2946,plain,
! [SV1: $i,SV264: $i] :
( ( ( ~ ( in @ SV264 @ ( sK137_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY398: $i] :
( ~ ( in @ SY398 @ ( sK137_SY8 @ SV1 ) )
| ( SV264 = SY398 )
| ( in @ SV264 @ SY398 ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2622]) ).
thf(2947,plain,
! [SV265: $i,SV1: $i,SV331: $i] :
( ( ( in @ SV331 @ SV1 )
= $false )
| ( ( ~ ( in @ SV265 @ SV331 )
| ( in @ SV265 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK160_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2623]) ).
thf(2948,plain,
! [SV391: $i,SV1: $i,SV443: $i] :
( ( ( ~ ( in @ SV443 @ SV1 )
| ~ ( in @ SV391 @ SV443 )
| ( in @ SV391 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK160_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2624]) ).
thf(2949,plain,
! [SV1: $i,SV332: $i] :
( ( ( ~ ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
| ~ ! [SY471: $i] :
( ~ ( in @ SY471 @ ( sK160_SY8 @ SV1 ) )
| ( SV332 = SY471 )
| ( in @ SV332 @ SY471 ) ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2625]) ).
thf(2950,plain,
! [SV266: $i,SV1: $i,SV333: $i] :
( ( ( in @ SV333 @ SV1 )
= $false )
| ( ( ~ ( in @ SV266 @ SV333 )
| ( in @ SV266 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK161_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2626]) ).
thf(2951,plain,
! [SV392: $i,SV1: $i,SV444: $i] :
( ( ( ~ ( in @ SV444 @ SV1 )
| ~ ( in @ SV392 @ SV444 )
| ( in @ SV392 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK161_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2627]) ).
thf(2952,plain,
! [SV1: $i,SV334: $i] :
( ( ( ~ ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
| ~ ! [SY472: $i] :
( ~ ( in @ SY472 @ ( sK161_SY8 @ SV1 ) )
| ( SV334 = SY472 )
| ( in @ SV334 @ SY472 ) ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2628]) ).
thf(2953,plain,
! [SV267: $i,SV1: $i,SV335: $i] :
( ( ( in @ SV335 @ SV1 )
= $false )
| ( ( ~ ( in @ SV267 @ SV335 )
| ( in @ SV267 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK162_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2629]) ).
thf(2954,plain,
! [SV393: $i,SV1: $i,SV445: $i] :
( ( ( ~ ( in @ SV445 @ SV1 )
| ~ ( in @ SV393 @ SV445 )
| ( in @ SV393 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK162_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2630]) ).
thf(2955,plain,
! [SV1: $i,SV336: $i] :
( ( ( ~ ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
| ~ ! [SY473: $i] :
( ~ ( in @ SY473 @ ( sK162_SY8 @ SV1 ) )
| ( SV336 = SY473 )
| ( in @ SV336 @ SY473 ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2631]) ).
thf(2956,plain,
! [SV268: $i,SV1: $i,SV337: $i] :
( ( ( in @ SV337 @ SV1 )
= $false )
| ( ( ~ ( in @ SV268 @ SV337 )
| ( in @ SV268 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK163_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2632]) ).
thf(2957,plain,
! [SV394: $i,SV1: $i,SV446: $i] :
( ( ( ~ ( in @ SV446 @ SV1 )
| ~ ( in @ SV394 @ SV446 )
| ( in @ SV394 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK163_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2633]) ).
thf(2958,plain,
! [SV1: $i,SV338: $i] :
( ( ( ~ ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
| ~ ! [SY474: $i] :
( ~ ( in @ SY474 @ ( sK163_SY8 @ SV1 ) )
| ( SV338 = SY474 )
| ( in @ SV338 @ SY474 ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2634]) ).
thf(2959,plain,
! [SV1: $i,SV269: $i,SV207: $i] :
( ( ( ~ ( in @ SV207 @ SV269 ) )
= $true )
| ( ( in @ SV207 @ SV1 )
= $true )
| ( ( in @ SV269 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK138_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2635]) ).
thf(2960,plain,
! [SV339: $i,SV1: $i,SV395: $i] :
( ( ( ~ ( in @ SV395 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV339 @ SV395 )
| ( in @ SV339 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ( sK138_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2636]) ).
thf(2961,plain,
! [SV1: $i,SV270: $i] :
( ( ( ~ ( in @ SV270 @ ( sK138_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY403: $i] :
( ~ ( in @ SY403 @ ( sK138_SY8 @ SV1 ) )
| ( SV270 = SY403 )
| ( in @ SV270 @ SY403 ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2637]) ).
thf(2962,plain,
! [SV1: $i,SV271: $i,SV208: $i] :
( ( ( ~ ( in @ SV208 @ SV271 ) )
= $true )
| ( ( in @ SV208 @ SV1 )
= $true )
| ( ( in @ SV271 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK139_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2638]) ).
thf(2963,plain,
! [SV340: $i,SV1: $i,SV396: $i] :
( ( ( ~ ( in @ SV396 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV340 @ SV396 )
| ( in @ SV340 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ( sK139_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2639]) ).
thf(2964,plain,
! [SV1: $i,SV272: $i] :
( ( ( ~ ( in @ SV272 @ ( sK139_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY404: $i] :
( ~ ( in @ SY404 @ ( sK139_SY8 @ SV1 ) )
| ( SV272 = SY404 )
| ( in @ SV272 @ SY404 ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2640]) ).
thf(2965,plain,
! [SV22: $i,SV447: $i,SV1: $i] :
( ( ( ! [SY555: $i] :
( ~ ( in @ SY555 @ SV1 )
| ~ ( in @ SV447 @ SY555 )
| ( in @ SV447 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK194_SY111 @ SV22 @ SV1 ) @ ( sK48_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2641]) ).
thf(2966,plain,
! [SV22: $i,SV448: $i,SV1: $i] :
( ( ( ! [SY556: $i] :
( ~ ( in @ SY556 @ SV1 )
| ~ ( in @ SV448 @ SY556 )
| ( in @ SV448 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( SV22
= ( sK194_SY111 @ SV22 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2642]) ).
thf(2967,plain,
! [SV22: $i,SV449: $i,SV1: $i] :
( ( ( ! [SY557: $i] :
( ~ ( in @ SY557 @ SV1 )
| ~ ( in @ SV449 @ SY557 )
| ( in @ SV449 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV22 @ ( sK194_SY111 @ SV22 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2643]) ).
thf(2968,plain,
! [SV24: $i,SV450: $i,SV1: $i] :
( ( ( ! [SY558: $i] :
( ~ ( in @ SY558 @ SV1 )
| ~ ( in @ SV450 @ SY558 )
| ( in @ SV450 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK195_SY112 @ SV24 @ SV1 ) @ ( sK49_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2644]) ).
thf(2969,plain,
! [SV24: $i,SV451: $i,SV1: $i] :
( ( ( ! [SY559: $i] :
( ~ ( in @ SY559 @ SV1 )
| ~ ( in @ SV451 @ SY559 )
| ( in @ SV451 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( SV24
= ( sK195_SY112 @ SV24 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2645]) ).
thf(2970,plain,
! [SV24: $i,SV452: $i,SV1: $i] :
( ( ( ! [SY560: $i] :
( ~ ( in @ SY560 @ SV1 )
| ~ ( in @ SV452 @ SY560 )
| ( in @ SV452 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV24 @ ( sK195_SY112 @ SV24 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2646]) ).
thf(2971,plain,
! [SV1: $i,SV62: $i] :
( ( ( ~ ( in @ ( sK226_SY187 @ SV62 @ SV1 ) @ ( sK72_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2648]) ).
thf(2972,plain,
! [SV1: $i,SV62: $i] :
( ( ( ( SV62
= ( sK226_SY187 @ SV62 @ SV1 ) )
| ( in @ SV62 @ ( sK226_SY187 @ SV62 @ SV1 ) ) )
= $false )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2648]) ).
thf(2973,plain,
! [SV1: $i,SV64: $i] :
( ( ( ~ ( in @ ( sK227_SY188 @ SV64 @ SV1 ) @ ( sK73_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2650]) ).
thf(2974,plain,
! [SV1: $i,SV64: $i] :
( ( ( ( SV64
= ( sK227_SY188 @ SV64 @ SV1 ) )
| ( in @ SV64 @ ( sK227_SY188 @ SV64 @ SV1 ) ) )
= $false )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2650]) ).
thf(2975,plain,
! [SV1: $i,SV209: $i,SV153: $i] :
( ( ( in @ SV153 @ SV209 )
= $false )
| ( ( in @ SV153 @ SV1 )
= $true )
| ( ( in @ SV209 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK92_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2651]) ).
thf(2976,plain,
! [SV1: $i,SV102: $i] :
( ( ( ~ ( in @ ( sK236_SY249 @ SV102 @ SV1 ) @ ( sK92_SY8 @ SV1 ) )
| ( SV102
= ( sK236_SY249 @ SV102 @ SV1 ) )
| ( in @ SV102 @ ( sK236_SY249 @ SV102 @ SV1 ) ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2652]) ).
thf(2977,plain,
! [SV1: $i,SV210: $i,SV154: $i] :
( ( ( in @ SV154 @ SV210 )
= $false )
| ( ( in @ SV154 @ SV1 )
= $true )
| ( ( in @ SV210 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK93_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2653]) ).
thf(2978,plain,
! [SV1: $i,SV104: $i] :
( ( ( ~ ( in @ ( sK237_SY250 @ SV104 @ SV1 ) @ ( sK93_SY8 @ SV1 ) )
| ( SV104
= ( sK237_SY250 @ SV104 @ SV1 ) )
| ( in @ SV104 @ ( sK237_SY250 @ SV104 @ SV1 ) ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2654]) ).
thf(2979,plain,
! [SV1: $i,SV211: $i,SV155: $i] :
( ( ( in @ SV155 @ SV211 )
= $false )
| ( ( in @ SV155 @ SV1 )
= $true )
| ( ( in @ SV211 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK94_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2655]) ).
thf(2980,plain,
! [SV1: $i,SV106: $i] :
( ( ( ~ ( in @ ( sK238_SY251 @ SV106 @ SV1 ) @ ( sK94_SY8 @ SV1 ) )
| ( SV106
= ( sK238_SY251 @ SV106 @ SV1 ) )
| ( in @ SV106 @ ( sK238_SY251 @ SV106 @ SV1 ) ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2656]) ).
thf(2981,plain,
! [SV1: $i,SV212: $i,SV156: $i] :
( ( ( in @ SV156 @ SV212 )
= $false )
| ( ( in @ SV156 @ SV1 )
= $true )
| ( ( in @ SV212 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( ( sK95_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2657]) ).
thf(2982,plain,
! [SV1: $i,SV108: $i] :
( ( ( ~ ( in @ ( sK239_SY252 @ SV108 @ SV1 ) @ ( sK95_SY8 @ SV1 ) )
| ( SV108
= ( sK239_SY252 @ SV108 @ SV1 ) )
| ( in @ SV108 @ ( sK239_SY252 @ SV108 @ SV1 ) ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2658]) ).
thf(2983,plain,
! [SV1: $i,SV70: $i] :
( ( ( ~ ( in @ ( sK228_SY193 @ SV70 @ SV1 ) @ ( sK74_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2660]) ).
thf(2984,plain,
! [SV1: $i,SV70: $i] :
( ( ( ( SV70
= ( sK228_SY193 @ SV70 @ SV1 ) )
| ( in @ SV70 @ ( sK228_SY193 @ SV70 @ SV1 ) ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2660]) ).
thf(2985,plain,
! [SV1: $i,SV72: $i] :
( ( ( ~ ( in @ ( sK229_SY194 @ SV72 @ SV1 ) @ ( sK75_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2662]) ).
thf(2986,plain,
! [SV1: $i,SV72: $i] :
( ( ( ( SV72
= ( sK229_SY194 @ SV72 @ SV1 ) )
| ( in @ SV72 @ ( sK229_SY194 @ SV72 @ SV1 ) ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2662]) ).
thf(2987,plain,
! [SV1: $i,SV74: $i] :
( ( ( ~ ( in @ ( sK230_SY195 @ SV74 @ SV1 ) @ ( sK76_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2664]) ).
thf(2988,plain,
! [SV1: $i,SV74: $i] :
( ( ( ( SV74
= ( sK230_SY195 @ SV74 @ SV1 ) )
| ( in @ SV74 @ ( sK230_SY195 @ SV74 @ SV1 ) ) )
= $false )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2664]) ).
thf(2989,plain,
! [SV1: $i,SV76: $i] :
( ( ( ~ ( in @ ( sK231_SY196 @ SV76 @ SV1 ) @ ( sK77_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2990,plain,
! [SV1: $i,SV76: $i] :
( ( ( ( SV76
= ( sK231_SY196 @ SV76 @ SV1 ) )
| ( in @ SV76 @ ( sK231_SY196 @ SV76 @ SV1 ) ) )
= $false )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2991,plain,
! [SV1: $i,SV273: $i,SV213: $i] :
( ( ( ~ ( in @ SV213 @ SV273 ) )
= $true )
| ( ( in @ SV213 @ SV1 )
= $true )
| ( ( in @ SV273 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK110_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2668]) ).
thf(2992,plain,
! [SV162: $i,SV1: $i] :
( ( ( ! [SY309: $i] :
( ~ ( in @ SY309 @ ( sK110_SY8 @ SV1 ) )
| ( SV162 = SY309 )
| ( in @ SV162 @ SY309 ) ) )
= $false )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2669]) ).
thf(2993,plain,
! [SV1: $i,SV274: $i,SV214: $i] :
( ( ( ~ ( in @ SV214 @ SV274 ) )
= $true )
| ( ( in @ SV214 @ SV1 )
= $true )
| ( ( in @ SV274 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK111_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2671]) ).
thf(2994,plain,
! [SV164: $i,SV1: $i] :
( ( ( ! [SY310: $i] :
( ~ ( in @ SY310 @ ( sK111_SY8 @ SV1 ) )
| ( SV164 = SY310 )
| ( in @ SV164 @ SY310 ) ) )
= $false )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2672]) ).
thf(2995,plain,
! [SV1: $i,SV215: $i,SV165: $i] :
( ( ( in @ SV165 @ SV215 )
= $false )
| ( ( in @ SV165 @ SV1 )
= $true )
| ( ( in @ SV215 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK124_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2673]) ).
thf(2996,plain,
! [SV275: $i,SV1: $i,SV341: $i] :
( ( ( in @ SV341 @ SV1 )
= $false )
| ( ( ~ ( in @ SV275 @ SV341 )
| ( in @ SV275 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK124_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2674]) ).
thf(2997,plain,
! [SV1: $i,SV216: $i] :
( ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY351: $i] :
( ~ ( in @ SY351 @ ( sK124_SY8 @ SV1 ) )
| ( SV216 = SY351 )
| ( in @ SV216 @ SY351 ) ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2675]) ).
thf(2998,plain,
! [SV1: $i,SV217: $i,SV166: $i] :
( ( ( in @ SV166 @ SV217 )
= $false )
| ( ( in @ SV166 @ SV1 )
= $true )
| ( ( in @ SV217 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK125_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2676]) ).
thf(2999,plain,
! [SV276: $i,SV1: $i,SV342: $i] :
( ( ( in @ SV342 @ SV1 )
= $false )
| ( ( ~ ( in @ SV276 @ SV342 )
| ( in @ SV276 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK125_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2677]) ).
thf(3000,plain,
! [SV1: $i,SV218: $i] :
( ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY352: $i] :
( ~ ( in @ SY352 @ ( sK125_SY8 @ SV1 ) )
| ( SV218 = SY352 )
| ( in @ SV218 @ SY352 ) ) )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2678]) ).
thf(3001,plain,
! [SV1: $i,SV219: $i,SV167: $i] :
( ( ( in @ SV167 @ SV219 )
= $false )
| ( ( in @ SV167 @ SV1 )
= $true )
| ( ( in @ SV219 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK126_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2679]) ).
thf(3002,plain,
! [SV277: $i,SV1: $i,SV343: $i] :
( ( ( in @ SV343 @ SV1 )
= $false )
| ( ( ~ ( in @ SV277 @ SV343 )
| ( in @ SV277 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK126_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2680]) ).
thf(3003,plain,
! [SV1: $i,SV220: $i] :
( ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY353: $i] :
( ~ ( in @ SY353 @ ( sK126_SY8 @ SV1 ) )
| ( SV220 = SY353 )
| ( in @ SV220 @ SY353 ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2681]) ).
thf(3004,plain,
! [SV1: $i,SV221: $i,SV168: $i] :
( ( ( in @ SV168 @ SV221 )
= $false )
| ( ( in @ SV168 @ SV1 )
= $true )
| ( ( in @ SV221 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK127_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2682]) ).
thf(3005,plain,
! [SV278: $i,SV1: $i,SV344: $i] :
( ( ( in @ SV344 @ SV1 )
= $false )
| ( ( ~ ( in @ SV278 @ SV344 )
| ( in @ SV278 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK127_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2683]) ).
thf(3006,plain,
! [SV1: $i,SV222: $i] :
( ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY354: $i] :
( ~ ( in @ SY354 @ ( sK127_SY8 @ SV1 ) )
| ( SV222 = SY354 )
| ( in @ SV222 @ SY354 ) ) )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2684]) ).
thf(3007,plain,
! [SV1: $i,SV279: $i,SV223: $i] :
( ( ( ~ ( in @ SV223 @ SV279 ) )
= $true )
| ( ( in @ SV223 @ SV1 )
= $true )
| ( ( in @ SV279 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ( sK112_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2686]) ).
thf(3008,plain,
! [SV170: $i,SV1: $i] :
( ( ( ! [SY315: $i] :
( ~ ( in @ SY315 @ ( sK112_SY8 @ SV1 ) )
| ( SV170 = SY315 )
| ( in @ SV170 @ SY315 ) ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2687]) ).
thf(3009,plain,
! [SV1: $i,SV280: $i,SV224: $i] :
( ( ( ~ ( in @ SV224 @ SV280 ) )
= $true )
| ( ( in @ SV224 @ SV1 )
= $true )
| ( ( in @ SV280 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ( sK113_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2689]) ).
thf(3010,plain,
! [SV172: $i,SV1: $i] :
( ( ( ! [SY316: $i] :
( ~ ( in @ SY316 @ ( sK113_SY8 @ SV1 ) )
| ( SV172 = SY316 )
| ( in @ SV172 @ SY316 ) ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2690]) ).
thf(3011,plain,
! [SV1: $i,SV281: $i,SV225: $i] :
( ( ( ~ ( in @ SV225 @ SV281 ) )
= $true )
| ( ( in @ SV225 @ SV1 )
= $true )
| ( ( in @ SV281 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK114_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2692]) ).
thf(3012,plain,
! [SV174: $i,SV1: $i] :
( ( ( ! [SY317: $i] :
( ~ ( in @ SY317 @ ( sK114_SY8 @ SV1 ) )
| ( SV174 = SY317 )
| ( in @ SV174 @ SY317 ) ) )
= $false )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2693]) ).
thf(3013,plain,
! [SV1: $i,SV282: $i,SV226: $i] :
( ( ( ~ ( in @ SV226 @ SV282 ) )
= $true )
| ( ( in @ SV226 @ SV1 )
= $true )
| ( ( in @ SV282 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK115_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2695]) ).
thf(3014,plain,
! [SV176: $i,SV1: $i] :
( ( ( ! [SY318: $i] :
( ~ ( in @ SY318 @ ( sK115_SY8 @ SV1 ) )
| ( SV176 = SY318 )
| ( in @ SV176 @ SY318 ) ) )
= $false )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2696]) ).
thf(3015,plain,
! [SV1: $i,SV283: $i,SV227: $i] :
( ( ( ~ ( in @ SV227 @ SV283 ) )
= $true )
| ( ( in @ SV227 @ SV1 )
= $true )
| ( ( in @ SV283 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK140_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2697]) ).
thf(3016,plain,
! [SV345: $i,SV1: $i,SV397: $i] :
( ( ( ~ ( in @ SV397 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV345 @ SV397 )
| ( in @ SV345 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK140_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2698]) ).
thf(3017,plain,
! [SV1: $i,SV284: $i] :
( ( ( ~ ( in @ SV284 @ ( sK140_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY409: $i] :
( ~ ( in @ SY409 @ ( sK140_SY8 @ SV1 ) )
| ( SV284 = SY409 )
| ( in @ SV284 @ SY409 ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2699]) ).
thf(3018,plain,
! [SV1: $i,SV285: $i,SV228: $i] :
( ( ( ~ ( in @ SV228 @ SV285 ) )
= $true )
| ( ( in @ SV228 @ SV1 )
= $true )
| ( ( in @ SV285 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK141_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2700]) ).
thf(3019,plain,
! [SV346: $i,SV1: $i,SV398: $i] :
( ( ( ~ ( in @ SV398 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV346 @ SV398 )
| ( in @ SV346 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK141_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2701]) ).
thf(3020,plain,
! [SV1: $i,SV286: $i] :
( ( ( ~ ( in @ SV286 @ ( sK141_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY410: $i] :
( ~ ( in @ SY410 @ ( sK141_SY8 @ SV1 ) )
| ( SV286 = SY410 )
| ( in @ SV286 @ SY410 ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2702]) ).
thf(3021,plain,
! [SV287: $i,SV1: $i,SV347: $i] :
( ( ( in @ SV347 @ SV1 )
= $false )
| ( ( ~ ( in @ SV287 @ SV347 )
| ( in @ SV287 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK164_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2703]) ).
thf(3022,plain,
! [SV399: $i,SV1: $i,SV453: $i] :
( ( ( ~ ( in @ SV453 @ SV1 )
| ~ ( in @ SV399 @ SV453 )
| ( in @ SV399 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK164_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2704]) ).
thf(3023,plain,
! [SV1: $i,SV348: $i] :
( ( ( ~ ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
| ~ ! [SY479: $i] :
( ~ ( in @ SY479 @ ( sK164_SY8 @ SV1 ) )
| ( SV348 = SY479 )
| ( in @ SV348 @ SY479 ) ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2705]) ).
thf(3024,plain,
! [SV288: $i,SV1: $i,SV349: $i] :
( ( ( in @ SV349 @ SV1 )
= $false )
| ( ( ~ ( in @ SV288 @ SV349 )
| ( in @ SV288 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK165_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2706]) ).
thf(3025,plain,
! [SV400: $i,SV1: $i,SV454: $i] :
( ( ( ~ ( in @ SV454 @ SV1 )
| ~ ( in @ SV400 @ SV454 )
| ( in @ SV400 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK165_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2707]) ).
thf(3026,plain,
! [SV1: $i,SV350: $i] :
( ( ( ~ ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
| ~ ! [SY480: $i] :
( ~ ( in @ SY480 @ ( sK165_SY8 @ SV1 ) )
| ( SV350 = SY480 )
| ( in @ SV350 @ SY480 ) ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2708]) ).
thf(3027,plain,
! [SV289: $i,SV1: $i,SV351: $i] :
( ( ( in @ SV351 @ SV1 )
= $false )
| ( ( ~ ( in @ SV289 @ SV351 )
| ( in @ SV289 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK166_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2709]) ).
thf(3028,plain,
! [SV401: $i,SV1: $i,SV455: $i] :
( ( ( ~ ( in @ SV455 @ SV1 )
| ~ ( in @ SV401 @ SV455 )
| ( in @ SV401 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK166_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2710]) ).
thf(3029,plain,
! [SV1: $i,SV352: $i] :
( ( ( ~ ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
| ~ ! [SY481: $i] :
( ~ ( in @ SY481 @ ( sK166_SY8 @ SV1 ) )
| ( SV352 = SY481 )
| ( in @ SV352 @ SY481 ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2711]) ).
thf(3030,plain,
! [SV290: $i,SV1: $i,SV353: $i] :
( ( ( in @ SV353 @ SV1 )
= $false )
| ( ( ~ ( in @ SV290 @ SV353 )
| ( in @ SV290 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK167_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2712]) ).
thf(3031,plain,
! [SV402: $i,SV1: $i,SV456: $i] :
( ( ( ~ ( in @ SV456 @ SV1 )
| ~ ( in @ SV402 @ SV456 )
| ( in @ SV402 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK167_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2713]) ).
thf(3032,plain,
! [SV1: $i,SV354: $i] :
( ( ( ~ ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
| ~ ! [SY482: $i] :
( ~ ( in @ SY482 @ ( sK167_SY8 @ SV1 ) )
| ( SV354 = SY482 )
| ( in @ SV354 @ SY482 ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2714]) ).
thf(3033,plain,
! [SV1: $i,SV291: $i,SV229: $i] :
( ( ( ~ ( in @ SV229 @ SV291 ) )
= $true )
| ( ( in @ SV229 @ SV1 )
= $true )
| ( ( in @ SV291 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK142_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2715]) ).
thf(3034,plain,
! [SV355: $i,SV1: $i,SV403: $i] :
( ( ( ~ ( in @ SV403 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV355 @ SV403 )
| ( in @ SV355 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ( sK142_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2716]) ).
thf(3035,plain,
! [SV1: $i,SV292: $i] :
( ( ( ~ ( in @ SV292 @ ( sK142_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY415: $i] :
( ~ ( in @ SY415 @ ( sK142_SY8 @ SV1 ) )
| ( SV292 = SY415 )
| ( in @ SV292 @ SY415 ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2717]) ).
thf(3036,plain,
! [SV1: $i,SV293: $i,SV230: $i] :
( ( ( ~ ( in @ SV230 @ SV293 ) )
= $true )
| ( ( in @ SV230 @ SV1 )
= $true )
| ( ( in @ SV293 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK143_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2718]) ).
thf(3037,plain,
! [SV356: $i,SV1: $i,SV404: $i] :
( ( ( ~ ( in @ SV404 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV356 @ SV404 )
| ( in @ SV356 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ( sK143_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2719]) ).
thf(3038,plain,
! [SV1: $i,SV294: $i] :
( ( ( ~ ( in @ SV294 @ ( sK143_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY416: $i] :
( ~ ( in @ SY416 @ ( sK143_SY8 @ SV1 ) )
| ( SV294 = SY416 )
| ( in @ SV294 @ SY416 ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2720]) ).
thf(3039,plain,
! [SV357: $i,SV1: $i,SV405: $i] :
( ( ( ~ ( in @ SV405 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV357 @ SV405 )
| ( in @ SV357 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK180_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2721]) ).
thf(3040,plain,
! [SV457: $i,SV1: $i] :
( ( ( ! [SY561: $i] :
( ~ ( in @ SY561 @ SV1 )
| ~ ( in @ SV457 @ SY561 )
| ( in @ SV457 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK180_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2722]) ).
thf(3041,plain,
! [SV1: $i,SV406: $i] :
( ( ( ~ ( ~ ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
| ~ ! [SY529: $i] :
( ~ ( in @ SY529 @ ( sK180_SY8 @ SV1 ) )
| ( SV406 = SY529 )
| ( in @ SV406 @ SY529 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2723]) ).
thf(3042,plain,
! [SV358: $i,SV1: $i,SV407: $i] :
( ( ( ~ ( in @ SV407 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV358 @ SV407 )
| ( in @ SV358 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK181_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2724]) ).
thf(3043,plain,
! [SV458: $i,SV1: $i] :
( ( ( ! [SY562: $i] :
( ~ ( in @ SY562 @ SV1 )
| ~ ( in @ SV458 @ SY562 )
| ( in @ SV458 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK181_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2725]) ).
thf(3044,plain,
! [SV1: $i,SV408: $i] :
( ( ( ~ ( ~ ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
| ~ ! [SY530: $i] :
( ~ ( in @ SY530 @ ( sK181_SY8 @ SV1 ) )
| ( SV408 = SY530 )
| ( in @ SV408 @ SY530 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2726]) ).
thf(3045,plain,
! [SV459: $i,SV1: $i] :
( ( ( ! [SY563: $i] :
( ~ ( in @ SY563 @ SV1 )
| ~ ( in @ SV459 @ SY563 )
| ( in @ SV459 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK196_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2727]) ).
thf(3046,plain,
! [SV1: $i] :
( ( ( ( ( sK196_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2728]) ).
thf(3047,plain,
! [SV1: $i] :
( ( ( ! [SY417: $i] :
~ ~ ( ~ ( in @ SY417 @ ( sK196_SY8 @ SV1 ) )
| ~ ! [SY418: $i] :
( ~ ( in @ SY418 @ ( sK196_SY8 @ SV1 ) )
| ( SY417 = SY418 )
| ( in @ SY417 @ SY418 ) ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2729]) ).
thf(3048,plain,
! [SV460: $i,SV1: $i] :
( ( ( ! [SY564: $i] :
( ~ ( in @ SY564 @ SV1 )
| ~ ( in @ SV460 @ SY564 )
| ( in @ SV460 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK197_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2730]) ).
thf(3049,plain,
! [SV1: $i] :
( ( ( ( ( sK197_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2731]) ).
thf(3050,plain,
! [SV1: $i] :
( ( ( ! [SY419: $i] :
~ ~ ( ~ ( in @ SY419 @ ( sK197_SY8 @ SV1 ) )
| ~ ! [SY420: $i] :
( ~ ( in @ SY420 @ ( sK197_SY8 @ SV1 ) )
| ( SY419 = SY420 )
| ( in @ SY419 @ SY420 ) ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2732]) ).
thf(3051,plain,
! [SV1: $i] :
( ( ( in @ ( sK212_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2733]) ).
thf(3052,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK212_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2734]) ).
thf(3053,plain,
! [SV1: $i] :
( ( ( ~ ! [SY487: $i] :
~ ~ ( ~ ( in @ SY487 @ ( sK212_SY8 @ SV1 ) )
| ~ ! [SY488: $i] :
( ~ ( in @ SY488 @ ( sK212_SY8 @ SV1 ) )
| ( SY487 = SY488 )
| ( in @ SY487 @ SY488 ) ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2734]) ).
thf(3054,plain,
! [SV1: $i] :
( ( ( in @ ( sK213_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2735]) ).
thf(3055,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK213_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2736]) ).
thf(3056,plain,
! [SV1: $i] :
( ( ( ~ ! [SY489: $i] :
~ ~ ( ~ ( in @ SY489 @ ( sK213_SY8 @ SV1 ) )
| ~ ! [SY490: $i] :
( ~ ( in @ SY490 @ ( sK213_SY8 @ SV1 ) )
| ( SY489 = SY490 )
| ( in @ SY489 @ SY490 ) ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2736]) ).
thf(3057,plain,
! [SV1: $i] :
( ( ( in @ ( sK214_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2737]) ).
thf(3058,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK214_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2738]) ).
thf(3059,plain,
! [SV1: $i] :
( ( ( ~ ! [SY491: $i] :
~ ~ ( ~ ( in @ SY491 @ ( sK214_SY8 @ SV1 ) )
| ~ ! [SY492: $i] :
( ~ ( in @ SY492 @ ( sK214_SY8 @ SV1 ) )
| ( SY491 = SY492 )
| ( in @ SY491 @ SY492 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2738]) ).
thf(3060,plain,
! [SV1: $i] :
( ( ( in @ ( sK215_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2739]) ).
thf(3061,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK215_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2740]) ).
thf(3062,plain,
! [SV1: $i] :
( ( ( ~ ! [SY493: $i] :
~ ~ ( ~ ( in @ SY493 @ ( sK215_SY8 @ SV1 ) )
| ~ ! [SY494: $i] :
( ~ ( in @ SY494 @ ( sK215_SY8 @ SV1 ) )
| ( SY493 = SY494 )
| ( in @ SY493 @ SY494 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2740]) ).
thf(3063,plain,
! [SV461: $i,SV1: $i] :
( ( ( ! [SY565: $i] :
( ~ ( in @ SY565 @ SV1 )
| ~ ( in @ SV461 @ SY565 )
| ( in @ SV461 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK198_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2741]) ).
thf(3064,plain,
! [SV1: $i] :
( ( ( ( ( sK198_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2742]) ).
thf(3065,plain,
! [SV1: $i] :
( ( ( ! [SY421: $i] :
~ ~ ( ~ ( in @ SY421 @ ( sK198_SY8 @ SV1 ) )
| ~ ! [SY422: $i] :
( ~ ( in @ SY422 @ ( sK198_SY8 @ SV1 ) )
| ( SY421 = SY422 )
| ( in @ SY421 @ SY422 ) ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2743]) ).
thf(3066,plain,
! [SV462: $i,SV1: $i] :
( ( ( ! [SY566: $i] :
( ~ ( in @ SY566 @ SV1 )
| ~ ( in @ SV462 @ SY566 )
| ( in @ SV462 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK199_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2744]) ).
thf(3067,plain,
! [SV1: $i] :
( ( ( ( ( sK199_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2745]) ).
thf(3068,plain,
! [SV1: $i] :
( ( ( ! [SY423: $i] :
~ ~ ( ~ ( in @ SY423 @ ( sK199_SY8 @ SV1 ) )
| ~ ! [SY424: $i] :
( ~ ( in @ SY424 @ ( sK199_SY8 @ SV1 ) )
| ( SY423 = SY424 )
| ( in @ SY423 @ SY424 ) ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2746]) ).
thf(3069,plain,
! [SV359: $i,SV1: $i,SV409: $i] :
( ( ( ~ ( in @ SV409 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV359 @ SV409 )
| ( in @ SV359 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK182_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2747]) ).
thf(3070,plain,
! [SV463: $i,SV1: $i] :
( ( ( ! [SY567: $i] :
( ~ ( in @ SY567 @ SV1 )
| ~ ( in @ SV463 @ SY567 )
| ( in @ SV463 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK182_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2748]) ).
thf(3071,plain,
! [SV1: $i,SV410: $i] :
( ( ( ~ ( ~ ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
| ~ ! [SY531: $i] :
( ~ ( in @ SY531 @ ( sK182_SY8 @ SV1 ) )
| ( SV410 = SY531 )
| ( in @ SV410 @ SY531 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2749]) ).
thf(3072,plain,
! [SV360: $i,SV1: $i,SV411: $i] :
( ( ( ~ ( in @ SV411 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV360 @ SV411 )
| ( in @ SV360 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK183_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2750]) ).
thf(3073,plain,
! [SV464: $i,SV1: $i] :
( ( ( ! [SY568: $i] :
( ~ ( in @ SY568 @ SV1 )
| ~ ( in @ SV464 @ SY568 )
| ( in @ SV464 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK183_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2751]) ).
thf(3074,plain,
! [SV1: $i,SV412: $i] :
( ( ( ~ ( ~ ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
| ~ ! [SY532: $i] :
( ~ ( in @ SY532 @ ( sK183_SY8 @ SV1 ) )
| ( SV412 = SY532 )
| ( in @ SV412 @ SY532 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2752]) ).
thf(3075,plain,
! [SV465: $i,SV1: $i] :
( ( ( ! [SY569: $i] :
( ~ ( in @ SY569 @ SV1 )
| ~ ( in @ SV465 @ SY569 )
| ( in @ SV465 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK200_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2753]) ).
thf(3076,plain,
! [SV1: $i] :
( ( ( ( ( sK200_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2754]) ).
thf(3077,plain,
! [SV1: $i] :
( ( ( ! [SY425: $i] :
~ ~ ( ~ ( in @ SY425 @ ( sK200_SY8 @ SV1 ) )
| ~ ! [SY426: $i] :
( ~ ( in @ SY426 @ ( sK200_SY8 @ SV1 ) )
| ( SY425 = SY426 )
| ( in @ SY425 @ SY426 ) ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2755]) ).
thf(3078,plain,
! [SV466: $i,SV1: $i] :
( ( ( ! [SY570: $i] :
( ~ ( in @ SY570 @ SV1 )
| ~ ( in @ SV466 @ SY570 )
| ( in @ SV466 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK201_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2756]) ).
thf(3079,plain,
! [SV1: $i] :
( ( ( ( ( sK201_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2757]) ).
thf(3080,plain,
! [SV1: $i] :
( ( ( ! [SY427: $i] :
~ ~ ( ~ ( in @ SY427 @ ( sK201_SY8 @ SV1 ) )
| ~ ! [SY428: $i] :
( ~ ( in @ SY428 @ ( sK201_SY8 @ SV1 ) )
| ( SY427 = SY428 )
| ( in @ SY427 @ SY428 ) ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2758]) ).
thf(3081,plain,
! [SV1: $i] :
( ( ( in @ ( sK216_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2759]) ).
thf(3082,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK216_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2760]) ).
thf(3083,plain,
! [SV1: $i] :
( ( ( ~ ! [SY497: $i] :
~ ~ ( ~ ( in @ SY497 @ ( sK216_SY8 @ SV1 ) )
| ~ ! [SY498: $i] :
( ~ ( in @ SY498 @ ( sK216_SY8 @ SV1 ) )
| ( SY497 = SY498 )
| ( in @ SY497 @ SY498 ) ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2760]) ).
thf(3084,plain,
! [SV1: $i] :
( ( ( in @ ( sK217_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2761]) ).
thf(3085,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK217_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2762]) ).
thf(3086,plain,
! [SV1: $i] :
( ( ( ~ ! [SY499: $i] :
~ ~ ( ~ ( in @ SY499 @ ( sK217_SY8 @ SV1 ) )
| ~ ! [SY500: $i] :
( ~ ( in @ SY500 @ ( sK217_SY8 @ SV1 ) )
| ( SY499 = SY500 )
| ( in @ SY499 @ SY500 ) ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2762]) ).
thf(3087,plain,
! [SV1: $i] :
( ( ( in @ ( sK218_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2763]) ).
thf(3088,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK218_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2764]) ).
thf(3089,plain,
! [SV1: $i] :
( ( ( ~ ! [SY501: $i] :
~ ~ ( ~ ( in @ SY501 @ ( sK218_SY8 @ SV1 ) )
| ~ ! [SY502: $i] :
( ~ ( in @ SY502 @ ( sK218_SY8 @ SV1 ) )
| ( SY501 = SY502 )
| ( in @ SY501 @ SY502 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2764]) ).
thf(3090,plain,
! [SV1: $i] :
( ( ( in @ ( sK219_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2765]) ).
thf(3091,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sK219_SY8 @ SV1 )
!= emptyset ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2766]) ).
thf(3092,plain,
! [SV1: $i] :
( ( ( ~ ! [SY503: $i] :
~ ~ ( ~ ( in @ SY503 @ ( sK219_SY8 @ SV1 ) )
| ~ ! [SY504: $i] :
( ~ ( in @ SY504 @ ( sK219_SY8 @ SV1 ) )
| ( SY503 = SY504 )
| ( in @ SY503 @ SY504 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2766]) ).
thf(3093,plain,
! [SV467: $i,SV1: $i] :
( ( ( ! [SY571: $i] :
( ~ ( in @ SY571 @ SV1 )
| ~ ( in @ SV467 @ SY571 )
| ( in @ SV467 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK202_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2767]) ).
thf(3094,plain,
! [SV1: $i] :
( ( ( ( ( sK202_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2768]) ).
thf(3095,plain,
! [SV1: $i] :
( ( ( ! [SY429: $i] :
~ ~ ( ~ ( in @ SY429 @ ( sK202_SY8 @ SV1 ) )
| ~ ! [SY430: $i] :
( ~ ( in @ SY430 @ ( sK202_SY8 @ SV1 ) )
| ( SY429 = SY430 )
| ( in @ SY429 @ SY430 ) ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2769]) ).
thf(3096,plain,
! [SV468: $i,SV1: $i] :
( ( ( ! [SY572: $i] :
( ~ ( in @ SY572 @ SV1 )
| ~ ( in @ SV468 @ SY572 )
| ( in @ SV468 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK203_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2770]) ).
thf(3097,plain,
! [SV1: $i] :
( ( ( ( ( sK203_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2771]) ).
thf(3098,plain,
! [SV1: $i] :
( ( ( ! [SY431: $i] :
~ ~ ( ~ ( in @ SY431 @ ( sK203_SY8 @ SV1 ) )
| ~ ! [SY432: $i] :
( ~ ( in @ SY432 @ ( sK203_SY8 @ SV1 ) )
| ( SY431 = SY432 )
| ( in @ SY431 @ SY432 ) ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2772]) ).
thf(3099,plain,
! [SV1: $i,SV295: $i,SV231: $i] :
( ( ( ~ ( in @ SV231 @ SV295 ) )
= $true )
| ( ( in @ SV231 @ SV1 )
= $true )
| ( ( in @ SV295 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK118_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2774]) ).
thf(3100,plain,
! [SV178: $i,SV1: $i] :
( ( ( ! [SY327: $i] :
( ~ ( in @ SY327 @ ( sK118_SY8 @ SV1 ) )
| ( SV178 = SY327 )
| ( in @ SV178 @ SY327 ) ) )
= $false )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2775]) ).
thf(3101,plain,
! [SV1: $i,SV296: $i,SV232: $i] :
( ( ( ~ ( in @ SV232 @ SV296 ) )
= $true )
| ( ( in @ SV232 @ SV1 )
= $true )
| ( ( in @ SV296 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK119_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2777]) ).
thf(3102,plain,
! [SV180: $i,SV1: $i] :
( ( ( ! [SY328: $i] :
( ~ ( in @ SY328 @ ( sK119_SY8 @ SV1 ) )
| ( SV180 = SY328 )
| ( in @ SV180 @ SY328 ) ) )
= $false )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2778]) ).
thf(3103,plain,
! [SV1: $i,SV297: $i,SV233: $i] :
( ( ( ~ ( in @ SV233 @ SV297 ) )
= $true )
| ( ( in @ SV233 @ SV1 )
= $true )
| ( ( in @ SV297 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK148_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2779]) ).
thf(3104,plain,
! [SV361: $i,SV1: $i,SV413: $i] :
( ( ( ~ ( in @ SV413 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV361 @ SV413 )
| ( in @ SV361 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK148_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2780]) ).
thf(3105,plain,
! [SV1: $i,SV298: $i] :
( ( ( ~ ( in @ SV298 @ ( sK148_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY433: $i] :
( ~ ( in @ SY433 @ ( sK148_SY8 @ SV1 ) )
| ( SV298 = SY433 )
| ( in @ SV298 @ SY433 ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2781]) ).
thf(3106,plain,
! [SV1: $i,SV299: $i,SV234: $i] :
( ( ( ~ ( in @ SV234 @ SV299 ) )
= $true )
| ( ( in @ SV234 @ SV1 )
= $true )
| ( ( in @ SV299 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK149_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2782]) ).
thf(3107,plain,
! [SV362: $i,SV1: $i,SV414: $i] :
( ( ( ~ ( in @ SV414 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV362 @ SV414 )
| ( in @ SV362 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK149_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2783]) ).
thf(3108,plain,
! [SV1: $i,SV300: $i] :
( ( ( ~ ( in @ SV300 @ ( sK149_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY434: $i] :
( ~ ( in @ SY434 @ ( sK149_SY8 @ SV1 ) )
| ( SV300 = SY434 )
| ( in @ SV300 @ SY434 ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2784]) ).
thf(3109,plain,
! [SV301: $i,SV1: $i,SV363: $i] :
( ( ( in @ SV363 @ SV1 )
= $false )
| ( ( ~ ( in @ SV301 @ SV363 )
| ( in @ SV301 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK172_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2785]) ).
thf(3110,plain,
! [SV415: $i,SV1: $i,SV469: $i] :
( ( ( ~ ( in @ SV469 @ SV1 )
| ~ ( in @ SV415 @ SV469 )
| ( in @ SV415 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK172_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2786]) ).
thf(3111,plain,
! [SV1: $i,SV364: $i] :
( ( ( ~ ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
| ~ ! [SY507: $i] :
( ~ ( in @ SY507 @ ( sK172_SY8 @ SV1 ) )
| ( SV364 = SY507 )
| ( in @ SV364 @ SY507 ) ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2787]) ).
thf(3112,plain,
! [SV302: $i,SV1: $i,SV365: $i] :
( ( ( in @ SV365 @ SV1 )
= $false )
| ( ( ~ ( in @ SV302 @ SV365 )
| ( in @ SV302 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK173_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2788]) ).
thf(3113,plain,
! [SV416: $i,SV1: $i,SV470: $i] :
( ( ( ~ ( in @ SV470 @ SV1 )
| ~ ( in @ SV416 @ SV470 )
| ( in @ SV416 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK173_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2789]) ).
thf(3114,plain,
! [SV1: $i,SV366: $i] :
( ( ( ~ ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
| ~ ! [SY508: $i] :
( ~ ( in @ SY508 @ ( sK173_SY8 @ SV1 ) )
| ( SV366 = SY508 )
| ( in @ SV366 @ SY508 ) ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2790]) ).
thf(3115,plain,
! [SV303: $i,SV1: $i,SV367: $i] :
( ( ( in @ SV367 @ SV1 )
= $false )
| ( ( ~ ( in @ SV303 @ SV367 )
| ( in @ SV303 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK174_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2791]) ).
thf(3116,plain,
! [SV417: $i,SV1: $i,SV471: $i] :
( ( ( ~ ( in @ SV471 @ SV1 )
| ~ ( in @ SV417 @ SV471 )
| ( in @ SV417 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK174_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2792]) ).
thf(3117,plain,
! [SV1: $i,SV368: $i] :
( ( ( ~ ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
| ~ ! [SY509: $i] :
( ~ ( in @ SY509 @ ( sK174_SY8 @ SV1 ) )
| ( SV368 = SY509 )
| ( in @ SV368 @ SY509 ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2793]) ).
thf(3118,plain,
! [SV304: $i,SV1: $i,SV369: $i] :
( ( ( in @ SV369 @ SV1 )
= $false )
| ( ( ~ ( in @ SV304 @ SV369 )
| ( in @ SV304 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK175_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2794]) ).
thf(3119,plain,
! [SV418: $i,SV1: $i,SV472: $i] :
( ( ( ~ ( in @ SV472 @ SV1 )
| ~ ( in @ SV418 @ SV472 )
| ( in @ SV418 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK175_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2795]) ).
thf(3120,plain,
! [SV1: $i,SV370: $i] :
( ( ( ~ ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
| ~ ! [SY510: $i] :
( ~ ( in @ SY510 @ ( sK175_SY8 @ SV1 ) )
| ( SV370 = SY510 )
| ( in @ SV370 @ SY510 ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2796]) ).
thf(3121,plain,
! [SV1: $i,SV305: $i,SV235: $i] :
( ( ( ~ ( in @ SV235 @ SV305 ) )
= $true )
| ( ( in @ SV235 @ SV1 )
= $true )
| ( ( in @ SV305 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK150_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2797]) ).
thf(3122,plain,
! [SV371: $i,SV1: $i,SV419: $i] :
( ( ( ~ ( in @ SV419 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV371 @ SV419 )
| ( in @ SV371 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ( sK150_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2798]) ).
thf(3123,plain,
! [SV1: $i,SV306: $i] :
( ( ( ~ ( in @ SV306 @ ( sK150_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY439: $i] :
( ~ ( in @ SY439 @ ( sK150_SY8 @ SV1 ) )
| ( SV306 = SY439 )
| ( in @ SV306 @ SY439 ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2799]) ).
thf(3124,plain,
! [SV1: $i,SV307: $i,SV236: $i] :
( ( ( ~ ( in @ SV236 @ SV307 ) )
= $true )
| ( ( in @ SV236 @ SV1 )
= $true )
| ( ( in @ SV307 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK151_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2800]) ).
thf(3125,plain,
! [SV372: $i,SV1: $i,SV420: $i] :
( ( ( ~ ( in @ SV420 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV372 @ SV420 )
| ( in @ SV372 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ( sK151_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2801]) ).
thf(3126,plain,
! [SV1: $i,SV308: $i] :
( ( ( ~ ( in @ SV308 @ ( sK151_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY440: $i] :
( ~ ( in @ SY440 @ ( sK151_SY8 @ SV1 ) )
| ( SV308 = SY440 )
| ( in @ SV308 @ SY440 ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2802]) ).
thf(3127,plain,
! [SV18: $i,SV421: $i,SV1: $i,SV473: $i] :
( ( ( ~ ( in @ SV473 @ SV1 )
| ~ ( in @ SV421 @ SV473 )
| ( in @ SV421 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK184_SY93 @ SV18 @ SV1 ) @ ( sK40_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2803]) ).
thf(3128,plain,
! [SV18: $i,SV422: $i,SV1: $i,SV474: $i] :
( ( ( ~ ( in @ SV474 @ SV1 )
| ~ ( in @ SV422 @ SV474 )
| ( in @ SV422 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( SV18
= ( sK184_SY93 @ SV18 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2804]) ).
thf(3129,plain,
! [SV18: $i,SV423: $i,SV1: $i,SV475: $i] :
( ( ( ~ ( in @ SV475 @ SV1 )
| ~ ( in @ SV423 @ SV475 )
| ( in @ SV423 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV18 @ ( sK184_SY93 @ SV18 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2805]) ).
thf(3130,plain,
! [SV20: $i,SV424: $i,SV1: $i,SV476: $i] :
( ( ( ~ ( in @ SV476 @ SV1 )
| ~ ( in @ SV424 @ SV476 )
| ( in @ SV424 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK185_SY94 @ SV20 @ SV1 ) @ ( sK41_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2806]) ).
thf(3131,plain,
! [SV20: $i,SV425: $i,SV1: $i,SV477: $i] :
( ( ( ~ ( in @ SV477 @ SV1 )
| ~ ( in @ SV425 @ SV477 )
| ( in @ SV425 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( SV20
= ( sK185_SY94 @ SV20 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2807]) ).
thf(3132,plain,
! [SV20: $i,SV426: $i,SV1: $i,SV478: $i] :
( ( ( ~ ( in @ SV478 @ SV1 )
| ~ ( in @ SV426 @ SV478 )
| ( in @ SV426 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV20 @ ( sK185_SY94 @ SV20 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2808]) ).
thf(3133,plain,
! [SV1: $i,SV44: $i] :
( ( ( in @ ( sK220_SY161 @ SV44 @ SV1 ) @ ( sK60_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2809]) ).
thf(3134,plain,
! [SV1: $i,SV44: $i] :
( ( ( SV44
= ( sK220_SY161 @ SV44 @ SV1 ) )
= $false )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2810]) ).
thf(3135,plain,
! [SV1: $i,SV44: $i] :
( ( ( in @ SV44 @ ( sK220_SY161 @ SV44 @ SV1 ) )
= $false )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2810]) ).
thf(3136,plain,
! [SV1: $i,SV46: $i] :
( ( ( in @ ( sK221_SY162 @ SV46 @ SV1 ) @ ( sK61_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2811]) ).
thf(3137,plain,
! [SV1: $i,SV46: $i] :
( ( ( SV46
= ( sK221_SY162 @ SV46 @ SV1 ) )
= $false )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2812]) ).
thf(3138,plain,
! [SV1: $i,SV46: $i] :
( ( ( in @ SV46 @ ( sK221_SY162 @ SV46 @ SV1 ) )
= $false )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2812]) ).
thf(3139,plain,
! [SV1: $i,SV80: $i] :
( ( ( ~ ( in @ ( sK232_SY215 @ SV80 @ SV1 ) @ ( sK84_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2814]) ).
thf(3140,plain,
! [SV1: $i,SV80: $i] :
( ( ( ( SV80
= ( sK232_SY215 @ SV80 @ SV1 ) )
| ( in @ SV80 @ ( sK232_SY215 @ SV80 @ SV1 ) ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2814]) ).
thf(3141,plain,
! [SV1: $i,SV82: $i] :
( ( ( ~ ( in @ ( sK233_SY216 @ SV82 @ SV1 ) @ ( sK85_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2816]) ).
thf(3142,plain,
! [SV1: $i,SV82: $i] :
( ( ( ( SV82
= ( sK233_SY216 @ SV82 @ SV1 ) )
| ( in @ SV82 @ ( sK233_SY216 @ SV82 @ SV1 ) ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2816]) ).
thf(3143,plain,
! [SV1: $i,SV84: $i] :
( ( ( ~ ( in @ ( sK234_SY217 @ SV84 @ SV1 ) @ ( sK86_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2818]) ).
thf(3144,plain,
! [SV1: $i,SV84: $i] :
( ( ( ( SV84
= ( sK234_SY217 @ SV84 @ SV1 ) )
| ( in @ SV84 @ ( sK234_SY217 @ SV84 @ SV1 ) ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2818]) ).
thf(3145,plain,
! [SV1: $i,SV86: $i] :
( ( ( ~ ( in @ ( sK235_SY218 @ SV86 @ SV1 ) @ ( sK87_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2820]) ).
thf(3146,plain,
! [SV1: $i,SV86: $i] :
( ( ( ( SV86
= ( sK235_SY218 @ SV86 @ SV1 ) )
| ( in @ SV86 @ ( sK235_SY218 @ SV86 @ SV1 ) ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2820]) ).
thf(3147,plain,
! [SV1: $i,SV52: $i] :
( ( ( in @ ( sK222_SY167 @ SV52 @ SV1 ) @ ( sK62_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2821]) ).
thf(3148,plain,
! [SV1: $i,SV52: $i] :
( ( ( SV52
= ( sK222_SY167 @ SV52 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2822]) ).
thf(3149,plain,
! [SV1: $i,SV52: $i] :
( ( ( in @ SV52 @ ( sK222_SY167 @ SV52 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2822]) ).
thf(3150,plain,
! [SV1: $i,SV54: $i] :
( ( ( in @ ( sK223_SY168 @ SV54 @ SV1 ) @ ( sK63_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2823]) ).
thf(3151,plain,
! [SV1: $i,SV54: $i] :
( ( ( SV54
= ( sK223_SY168 @ SV54 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2824]) ).
thf(3152,plain,
! [SV1: $i,SV54: $i] :
( ( ( in @ SV54 @ ( sK223_SY168 @ SV54 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2824]) ).
thf(3153,plain,
! [SV1: $i,SV56: $i] :
( ( ( in @ ( sK224_SY169 @ SV56 @ SV1 ) @ ( sK64_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2825]) ).
thf(3154,plain,
! [SV1: $i,SV56: $i] :
( ( ( SV56
= ( sK224_SY169 @ SV56 @ SV1 ) )
= $false )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2826]) ).
thf(3155,plain,
! [SV1: $i,SV56: $i] :
( ( ( in @ SV56 @ ( sK224_SY169 @ SV56 @ SV1 ) )
= $false )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2826]) ).
thf(3156,plain,
! [SV1: $i,SV58: $i] :
( ( ( in @ ( sK225_SY170 @ SV58 @ SV1 ) @ ( sK65_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2827]) ).
thf(3157,plain,
! [SV1: $i,SV58: $i] :
( ( ( SV58
= ( sK225_SY170 @ SV58 @ SV1 ) )
= $false )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2828]) ).
thf(3158,plain,
! [SV1: $i,SV58: $i] :
( ( ( in @ SV58 @ ( sK225_SY170 @ SV58 @ SV1 ) )
= $false )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2828]) ).
thf(3159,plain,
! [SV1: $i,SV237: $i,SV185: $i] :
( ( ( in @ SV185 @ SV237 )
= $false )
| ( ( in @ SV185 @ SV1 )
= $true )
| ( ( in @ SV237 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK100_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2829]) ).
thf(3160,plain,
! [SV1: $i,SV132: $i] :
( ( ( ~ ( in @ ( sK240_SY285 @ SV132 @ SV1 ) @ ( sK100_SY8 @ SV1 ) )
| ( SV132
= ( sK240_SY285 @ SV132 @ SV1 ) )
| ( in @ SV132 @ ( sK240_SY285 @ SV132 @ SV1 ) ) )
= $false )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2830]) ).
thf(3161,plain,
! [SV1: $i,SV238: $i,SV186: $i] :
( ( ( in @ SV186 @ SV238 )
= $false )
| ( ( in @ SV186 @ SV1 )
= $true )
| ( ( in @ SV238 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK101_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2831]) ).
thf(3162,plain,
! [SV1: $i,SV134: $i] :
( ( ( ~ ( in @ ( sK241_SY286 @ SV134 @ SV1 ) @ ( sK101_SY8 @ SV1 ) )
| ( SV134
= ( sK241_SY286 @ SV134 @ SV1 ) )
| ( in @ SV134 @ ( sK241_SY286 @ SV134 @ SV1 ) ) )
= $false )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2832]) ).
thf(3163,plain,
! [SV1: $i,SV309: $i,SV239: $i] :
( ( ( ~ ( in @ SV239 @ SV309 ) )
= $true )
| ( ( in @ SV239 @ SV1 )
= $true )
| ( ( in @ SV309 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK120_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2834]) ).
thf(3164,plain,
! [SV188: $i,SV1: $i] :
( ( ( ! [SY331: $i] :
( ~ ( in @ SY331 @ ( sK120_SY8 @ SV1 ) )
| ( SV188 = SY331 )
| ( in @ SV188 @ SY331 ) ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2835]) ).
thf(3165,plain,
! [SV1: $i,SV310: $i,SV240: $i] :
( ( ( ~ ( in @ SV240 @ SV310 ) )
= $true )
| ( ( in @ SV240 @ SV1 )
= $true )
| ( ( in @ SV310 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK121_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2837]) ).
thf(3166,plain,
! [SV190: $i,SV1: $i] :
( ( ( ! [SY332: $i] :
( ~ ( in @ SY332 @ ( sK121_SY8 @ SV1 ) )
| ( SV190 = SY332 )
| ( in @ SV190 @ SY332 ) ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2838]) ).
thf(3167,plain,
! [SV1: $i,SV311: $i,SV241: $i] :
( ( ( ~ ( in @ SV241 @ SV311 ) )
= $true )
| ( ( in @ SV241 @ SV1 )
= $true )
| ( ( in @ SV311 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK122_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2840]) ).
thf(3168,plain,
! [SV192: $i,SV1: $i] :
( ( ( ! [SY333: $i] :
( ~ ( in @ SY333 @ ( sK122_SY8 @ SV1 ) )
| ( SV192 = SY333 )
| ( in @ SV192 @ SY333 ) ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2841]) ).
thf(3169,plain,
! [SV1: $i,SV312: $i,SV242: $i] :
( ( ( ~ ( in @ SV242 @ SV312 ) )
= $true )
| ( ( in @ SV242 @ SV1 )
= $true )
| ( ( in @ SV312 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK123_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2843]) ).
thf(3170,plain,
! [SV194: $i,SV1: $i] :
( ( ( ! [SY334: $i] :
( ~ ( in @ SY334 @ ( sK123_SY8 @ SV1 ) )
| ( SV194 = SY334 )
| ( in @ SV194 @ SY334 ) ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2844]) ).
thf(3171,plain,
! [SV1: $i,SV243: $i,SV195: $i] :
( ( ( in @ SV195 @ SV243 )
= $false )
| ( ( in @ SV195 @ SV1 )
= $true )
| ( ( in @ SV243 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ( sK102_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2845]) ).
thf(3172,plain,
! [SV1: $i,SV140: $i] :
( ( ( ~ ( in @ ( sK242_SY291 @ SV140 @ SV1 ) @ ( sK102_SY8 @ SV1 ) )
| ( SV140
= ( sK242_SY291 @ SV140 @ SV1 ) )
| ( in @ SV140 @ ( sK242_SY291 @ SV140 @ SV1 ) ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2846]) ).
thf(3173,plain,
! [SV1: $i,SV244: $i,SV196: $i] :
( ( ( in @ SV196 @ SV244 )
= $false )
| ( ( in @ SV196 @ SV1 )
= $true )
| ( ( in @ SV244 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( ( sK103_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2847]) ).
thf(3174,plain,
! [SV1: $i,SV142: $i] :
( ( ( ~ ( in @ ( sK243_SY292 @ SV142 @ SV1 ) @ ( sK103_SY8 @ SV1 ) )
| ( SV142
= ( sK243_SY292 @ SV142 @ SV1 ) )
| ( in @ SV142 @ ( sK243_SY292 @ SV142 @ SV1 ) ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2848]) ).
thf(3175,plain,
! [SV1: $i,SV245: $i,SV197: $i] :
( ( ( in @ SV197 @ SV245 )
= $false )
| ( ( in @ SV197 @ SV1 )
= $true )
| ( ( in @ SV245 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK104_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2849]) ).
thf(3176,plain,
! [SV1: $i,SV144: $i] :
( ( ( ~ ( in @ ( sK244_SY293 @ SV144 @ SV1 ) @ ( sK104_SY8 @ SV1 ) )
| ( SV144
= ( sK244_SY293 @ SV144 @ SV1 ) )
| ( in @ SV144 @ ( sK244_SY293 @ SV144 @ SV1 ) ) )
= $false )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2850]) ).
thf(3177,plain,
! [SV1: $i,SV246: $i,SV198: $i] :
( ( ( in @ SV198 @ SV246 )
= $false )
| ( ( in @ SV198 @ SV1 )
= $true )
| ( ( in @ SV246 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK105_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2851]) ).
thf(3178,plain,
! [SV1: $i,SV146: $i] :
( ( ( ~ ( in @ ( sK245_SY294 @ SV146 @ SV1 ) @ ( sK105_SY8 @ SV1 ) )
| ( SV146
= ( sK245_SY294 @ SV146 @ SV1 ) )
| ( in @ SV146 @ ( sK245_SY294 @ SV146 @ SV1 ) ) )
= $false )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2852]) ).
thf(3179,plain,
! [SV1: $i,SV247: $i,SV199: $i] :
( ( ( in @ SV199 @ SV247 )
= $false )
| ( ( in @ SV199 @ SV1 )
= $true )
| ( ( in @ SV247 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK128_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2853]) ).
thf(3180,plain,
! [SV313: $i,SV1: $i,SV373: $i] :
( ( ( in @ SV373 @ SV1 )
= $false )
| ( ( ~ ( in @ SV313 @ SV373 )
| ( in @ SV313 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK128_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2854]) ).
thf(3181,plain,
! [SV1: $i,SV248: $i] :
( ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY373: $i] :
( ~ ( in @ SY373 @ ( sK128_SY8 @ SV1 ) )
| ( SV248 = SY373 )
| ( in @ SV248 @ SY373 ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2855]) ).
thf(3182,plain,
! [SV1: $i,SV249: $i,SV200: $i] :
( ( ( in @ SV200 @ SV249 )
= $false )
| ( ( in @ SV200 @ SV1 )
= $true )
| ( ( in @ SV249 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK129_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2856]) ).
thf(3183,plain,
! [SV314: $i,SV1: $i,SV374: $i] :
( ( ( in @ SV374 @ SV1 )
= $false )
| ( ( ~ ( in @ SV314 @ SV374 )
| ( in @ SV314 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK129_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2857]) ).
thf(3184,plain,
! [SV1: $i,SV250: $i] :
( ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY374: $i] :
( ~ ( in @ SY374 @ ( sK129_SY8 @ SV1 ) )
| ( SV250 = SY374 )
| ( in @ SV250 @ SY374 ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2858]) ).
thf(3185,plain,
! [SV1: $i,SV315: $i,SV251: $i] :
( ( ( ~ ( in @ SV251 @ SV315 ) )
= $true )
| ( ( in @ SV251 @ SV1 )
= $true )
| ( ( in @ SV315 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK152_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2859]) ).
thf(3186,plain,
! [SV375: $i,SV1: $i,SV427: $i] :
( ( ( ~ ( in @ SV427 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV375 @ SV427 )
| ( in @ SV375 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK152_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2860]) ).
thf(3187,plain,
! [SV1: $i,SV316: $i] :
( ( ( ~ ( in @ SV316 @ ( sK152_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY443: $i] :
( ~ ( in @ SY443 @ ( sK152_SY8 @ SV1 ) )
| ( SV316 = SY443 )
| ( in @ SV316 @ SY443 ) ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2861]) ).
thf(3188,plain,
! [SV1: $i,SV317: $i,SV252: $i] :
( ( ( ~ ( in @ SV252 @ SV317 ) )
= $true )
| ( ( in @ SV252 @ SV1 )
= $true )
| ( ( in @ SV317 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK153_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2862]) ).
thf(3189,plain,
! [SV376: $i,SV1: $i,SV428: $i] :
( ( ( ~ ( in @ SV428 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV376 @ SV428 )
| ( in @ SV376 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK153_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2863]) ).
thf(3190,plain,
! [SV1: $i,SV318: $i] :
( ( ( ~ ( in @ SV318 @ ( sK153_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY444: $i] :
( ~ ( in @ SY444 @ ( sK153_SY8 @ SV1 ) )
| ( SV318 = SY444 )
| ( in @ SV318 @ SY444 ) ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2864]) ).
thf(3191,plain,
! [SV1: $i,SV319: $i,SV253: $i] :
( ( ( ~ ( in @ SV253 @ SV319 ) )
= $true )
| ( ( in @ SV253 @ SV1 )
= $true )
| ( ( in @ SV319 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK154_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2865]) ).
thf(3192,plain,
! [SV377: $i,SV1: $i,SV429: $i] :
( ( ( ~ ( in @ SV429 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV377 @ SV429 )
| ( in @ SV377 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK154_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2866]) ).
thf(3193,plain,
! [SV1: $i,SV320: $i] :
( ( ( ~ ( in @ SV320 @ ( sK154_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY445: $i] :
( ~ ( in @ SY445 @ ( sK154_SY8 @ SV1 ) )
| ( SV320 = SY445 )
| ( in @ SV320 @ SY445 ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2867]) ).
thf(3194,plain,
! [SV1: $i,SV321: $i,SV254: $i] :
( ( ( ~ ( in @ SV254 @ SV321 ) )
= $true )
| ( ( in @ SV254 @ SV1 )
= $true )
| ( ( in @ SV321 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK155_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2868]) ).
thf(3195,plain,
! [SV378: $i,SV1: $i,SV430: $i] :
( ( ( ~ ( in @ SV430 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV378 @ SV430 )
| ( in @ SV378 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK155_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2869]) ).
thf(3196,plain,
! [SV1: $i,SV322: $i] :
( ( ( ~ ( in @ SV322 @ ( sK155_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY446: $i] :
( ~ ( in @ SY446 @ ( sK155_SY8 @ SV1 ) )
| ( SV322 = SY446 )
| ( in @ SV322 @ SY446 ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2870]) ).
thf(3197,plain,
! [SV1: $i,SV255: $i,SV201: $i] :
( ( ( in @ SV201 @ SV255 )
= $false )
| ( ( in @ SV201 @ SV1 )
= $true )
| ( ( in @ SV255 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK130_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2871]) ).
thf(3198,plain,
! [SV323: $i,SV1: $i,SV379: $i] :
( ( ( in @ SV379 @ SV1 )
= $false )
| ( ( ~ ( in @ SV323 @ SV379 )
| ( in @ SV323 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ( sK130_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2872]) ).
thf(3199,plain,
! [SV1: $i,SV256: $i] :
( ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY379: $i] :
( ~ ( in @ SY379 @ ( sK130_SY8 @ SV1 ) )
| ( SV256 = SY379 )
| ( in @ SV256 @ SY379 ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2873]) ).
thf(3200,plain,
! [SV1: $i,SV257: $i,SV202: $i] :
( ( ( in @ SV202 @ SV257 )
= $false )
| ( ( in @ SV202 @ SV1 )
= $true )
| ( ( in @ SV257 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK131_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2874]) ).
thf(3201,plain,
! [SV324: $i,SV1: $i,SV380: $i] :
( ( ( in @ SV380 @ SV1 )
= $false )
| ( ( ~ ( in @ SV324 @ SV380 )
| ( in @ SV324 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ( sK131_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2875]) ).
thf(3202,plain,
! [SV1: $i,SV258: $i] :
( ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY380: $i] :
( ~ ( in @ SY380 @ ( sK131_SY8 @ SV1 ) )
| ( SV258 = SY380 )
| ( in @ SV258 @ SY380 ) ) )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2876]) ).
thf(3203,plain,
! [SV325: $i,SV1: $i,SV381: $i] :
( ( ( in @ SV381 @ SV1 )
= $false )
| ( ( ~ ( in @ SV325 @ SV381 )
| ( in @ SV325 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK176_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2877]) ).
thf(3204,plain,
! [SV431: $i,SV1: $i,SV479: $i] :
( ( ( ~ ( in @ SV479 @ SV1 )
| ~ ( in @ SV431 @ SV479 )
| ( in @ SV431 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK176_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2878]) ).
thf(3205,plain,
! [SV1: $i,SV382: $i] :
( ( ( ~ ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
| ~ ! [SY517: $i] :
( ~ ( in @ SY517 @ ( sK176_SY8 @ SV1 ) )
| ( SV382 = SY517 )
| ( in @ SV382 @ SY517 ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2879]) ).
thf(3206,plain,
! [SV326: $i,SV1: $i,SV383: $i] :
( ( ( in @ SV383 @ SV1 )
= $false )
| ( ( ~ ( in @ SV326 @ SV383 )
| ( in @ SV326 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK177_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2880]) ).
thf(3207,plain,
! [SV432: $i,SV1: $i,SV480: $i] :
( ( ( ~ ( in @ SV480 @ SV1 )
| ~ ( in @ SV432 @ SV480 )
| ( in @ SV432 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK177_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2881]) ).
thf(3208,plain,
! [SV1: $i,SV384: $i] :
( ( ( ~ ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
| ~ ! [SY518: $i] :
( ~ ( in @ SY518 @ ( sK177_SY8 @ SV1 ) )
| ( SV384 = SY518 )
| ( in @ SV384 @ SY518 ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2882]) ).
thf(3209,plain,
! [SV433: $i,SV1: $i,SV481: $i] :
( ( ( ~ ( in @ SV481 @ SV1 )
| ~ ( in @ SV433 @ SV481 )
| ( in @ SV433 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK186_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2883]) ).
thf(3210,plain,
! [SV1: $i] :
( ( ( ( sK186_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2884]) ).
thf(3211,plain,
! [SV1: $i,SV482: $i] :
( ( ( ~ ~ ( ~ ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
| ~ ! [SY573: $i] :
( ~ ( in @ SY573 @ ( sK186_SY8 @ SV1 ) )
| ( SV482 = SY573 )
| ( in @ SV482 @ SY573 ) ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2885]) ).
thf(3212,plain,
! [SV434: $i,SV1: $i,SV483: $i] :
( ( ( ~ ( in @ SV483 @ SV1 )
| ~ ( in @ SV434 @ SV483 )
| ( in @ SV434 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK187_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2886]) ).
thf(3213,plain,
! [SV1: $i] :
( ( ( ( sK187_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2887]) ).
thf(3214,plain,
! [SV1: $i,SV484: $i] :
( ( ( ~ ~ ( ~ ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
| ~ ! [SY574: $i] :
( ~ ( in @ SY574 @ ( sK187_SY8 @ SV1 ) )
| ( SV484 = SY574 )
| ( in @ SV484 @ SY574 ) ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2888]) ).
thf(3215,plain,
! [SV485: $i,SV1: $i] :
( ( ( ! [SY575: $i] :
( ~ ( in @ SY575 @ SV1 )
| ~ ( in @ SV485 @ SY575 )
| ( in @ SV485 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK204_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2889]) ).
thf(3216,plain,
! [SV1: $i] :
( ( ( ( ( sK204_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2890]) ).
thf(3217,plain,
! [SV1: $i] :
( ( ( ! [SY451: $i] :
~ ~ ( ~ ( in @ SY451 @ ( sK204_SY8 @ SV1 ) )
| ~ ! [SY452: $i] :
( ~ ( in @ SY452 @ ( sK204_SY8 @ SV1 ) )
| ( SY451 = SY452 )
| ( in @ SY451 @ SY452 ) ) ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2891]) ).
thf(3218,plain,
! [SV486: $i,SV1: $i] :
( ( ( ! [SY576: $i] :
( ~ ( in @ SY576 @ SV1 )
| ~ ( in @ SV486 @ SY576 )
| ( in @ SV486 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK205_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2892]) ).
thf(3219,plain,
! [SV1: $i] :
( ( ( ( ( sK205_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2893]) ).
thf(3220,plain,
! [SV1: $i] :
( ( ( ! [SY453: $i] :
~ ~ ( ~ ( in @ SY453 @ ( sK205_SY8 @ SV1 ) )
| ~ ! [SY454: $i] :
( ~ ( in @ SY454 @ ( sK205_SY8 @ SV1 ) )
| ( SY453 = SY454 )
| ( in @ SY453 @ SY454 ) ) ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2894]) ).
thf(3221,plain,
! [SV487: $i,SV1: $i] :
( ( ( ! [SY577: $i] :
( ~ ( in @ SY577 @ SV1 )
| ~ ( in @ SV487 @ SY577 )
| ( in @ SV487 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK206_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2895]) ).
thf(3222,plain,
! [SV1: $i] :
( ( ( ( ( sK206_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2896]) ).
thf(3223,plain,
! [SV1: $i] :
( ( ( ! [SY455: $i] :
~ ~ ( ~ ( in @ SY455 @ ( sK206_SY8 @ SV1 ) )
| ~ ! [SY456: $i] :
( ~ ( in @ SY456 @ ( sK206_SY8 @ SV1 ) )
| ( SY455 = SY456 )
| ( in @ SY455 @ SY456 ) ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2897]) ).
thf(3224,plain,
! [SV488: $i,SV1: $i] :
( ( ( ! [SY578: $i] :
( ~ ( in @ SY578 @ SV1 )
| ~ ( in @ SV488 @ SY578 )
| ( in @ SV488 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK207_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2898]) ).
thf(3225,plain,
! [SV1: $i] :
( ( ( ( ( sK207_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2899]) ).
thf(3226,plain,
! [SV1: $i] :
( ( ( ! [SY457: $i] :
~ ~ ( ~ ( in @ SY457 @ ( sK207_SY8 @ SV1 ) )
| ~ ! [SY458: $i] :
( ~ ( in @ SY458 @ ( sK207_SY8 @ SV1 ) )
| ( SY457 = SY458 )
| ( in @ SY457 @ SY458 ) ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2900]) ).
thf(3227,plain,
! [SV435: $i,SV1: $i,SV489: $i] :
( ( ( ~ ( in @ SV489 @ SV1 )
| ~ ( in @ SV435 @ SV489 )
| ( in @ SV435 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK188_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2901]) ).
thf(3228,plain,
! [SV1: $i] :
( ( ( ( sK188_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2902]) ).
thf(3229,plain,
! [SV1: $i,SV490: $i] :
( ( ( ~ ~ ( ~ ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
| ~ ! [SY579: $i] :
( ~ ( in @ SY579 @ ( sK188_SY8 @ SV1 ) )
| ( SV490 = SY579 )
| ( in @ SV490 @ SY579 ) ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2903]) ).
thf(3230,plain,
! [SV436: $i,SV1: $i,SV491: $i] :
( ( ( ~ ( in @ SV491 @ SV1 )
| ~ ( in @ SV436 @ SV491 )
| ( in @ SV436 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK189_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2904]) ).
thf(3231,plain,
! [SV1: $i] :
( ( ( ( sK189_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2905]) ).
thf(3232,plain,
! [SV1: $i,SV492: $i] :
( ( ( ~ ~ ( ~ ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
| ~ ! [SY580: $i] :
( ~ ( in @ SY580 @ ( sK189_SY8 @ SV1 ) )
| ( SV492 = SY580 )
| ( in @ SV492 @ SY580 ) ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2906]) ).
thf(3233,plain,
! [SV327: $i,SV1: $i,SV385: $i] :
( ( ( in @ SV385 @ SV1 )
= $false )
| ( ( ~ ( in @ SV327 @ SV385 )
| ( in @ SV327 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK178_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2907]) ).
thf(3234,plain,
! [SV437: $i,SV1: $i,SV493: $i] :
( ( ( ~ ( in @ SV493 @ SV1 )
| ~ ( in @ SV437 @ SV493 )
| ( in @ SV437 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK178_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2908]) ).
thf(3235,plain,
! [SV1: $i,SV386: $i] :
( ( ( ~ ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
| ~ ! [SY519: $i] :
( ~ ( in @ SY519 @ ( sK178_SY8 @ SV1 ) )
| ( SV386 = SY519 )
| ( in @ SV386 @ SY519 ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2909]) ).
thf(3236,plain,
! [SV328: $i,SV1: $i,SV387: $i] :
( ( ( in @ SV387 @ SV1 )
= $false )
| ( ( ~ ( in @ SV328 @ SV387 )
| ( in @ SV328 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK179_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2910]) ).
thf(3237,plain,
! [SV438: $i,SV1: $i,SV494: $i] :
( ( ( ~ ( in @ SV494 @ SV1 )
| ~ ( in @ SV438 @ SV494 )
| ( in @ SV438 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK179_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2911]) ).
thf(3238,plain,
! [SV1: $i,SV388: $i] :
( ( ( ~ ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
| ~ ! [SY520: $i] :
( ~ ( in @ SY520 @ ( sK179_SY8 @ SV1 ) )
| ( SV388 = SY520 )
| ( in @ SV388 @ SY520 ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2912]) ).
thf(3239,plain,
! [SV439: $i,SV1: $i,SV495: $i] :
( ( ( ~ ( in @ SV495 @ SV1 )
| ~ ( in @ SV439 @ SV495 )
| ( in @ SV439 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK190_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2913]) ).
thf(3240,plain,
! [SV1: $i] :
( ( ( ( sK190_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2914]) ).
thf(3241,plain,
! [SV1: $i,SV496: $i] :
( ( ( ~ ~ ( ~ ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
| ~ ! [SY581: $i] :
( ~ ( in @ SY581 @ ( sK190_SY8 @ SV1 ) )
| ( SV496 = SY581 )
| ( in @ SV496 @ SY581 ) ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2915]) ).
thf(3242,plain,
! [SV440: $i,SV1: $i,SV497: $i] :
( ( ( ~ ( in @ SV497 @ SV1 )
| ~ ( in @ SV440 @ SV497 )
| ( in @ SV440 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK191_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2916]) ).
thf(3243,plain,
! [SV1: $i] :
( ( ( ( sK191_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2917]) ).
thf(3244,plain,
! [SV1: $i,SV498: $i] :
( ( ( ~ ~ ( ~ ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
| ~ ! [SY582: $i] :
( ~ ( in @ SY582 @ ( sK191_SY8 @ SV1 ) )
| ( SV498 = SY582 )
| ( in @ SV498 @ SY582 ) ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2918]) ).
thf(3245,plain,
! [SV499: $i,SV1: $i] :
( ( ( ! [SY583: $i] :
( ~ ( in @ SY583 @ SV1 )
| ~ ( in @ SV499 @ SY583 )
| ( in @ SV499 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK208_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2919]) ).
thf(3246,plain,
! [SV1: $i] :
( ( ( ( ( sK208_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2920]) ).
thf(3247,plain,
! [SV1: $i] :
( ( ( ! [SY461: $i] :
~ ~ ( ~ ( in @ SY461 @ ( sK208_SY8 @ SV1 ) )
| ~ ! [SY462: $i] :
( ~ ( in @ SY462 @ ( sK208_SY8 @ SV1 ) )
| ( SY461 = SY462 )
| ( in @ SY461 @ SY462 ) ) ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2921]) ).
thf(3248,plain,
! [SV500: $i,SV1: $i] :
( ( ( ! [SY584: $i] :
( ~ ( in @ SY584 @ SV1 )
| ~ ( in @ SV500 @ SY584 )
| ( in @ SV500 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK209_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2922]) ).
thf(3249,plain,
! [SV1: $i] :
( ( ( ( ( sK209_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2923]) ).
thf(3250,plain,
! [SV1: $i] :
( ( ( ! [SY463: $i] :
~ ~ ( ~ ( in @ SY463 @ ( sK209_SY8 @ SV1 ) )
| ~ ! [SY464: $i] :
( ~ ( in @ SY464 @ ( sK209_SY8 @ SV1 ) )
| ( SY463 = SY464 )
| ( in @ SY463 @ SY464 ) ) ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2924]) ).
thf(3251,plain,
! [SV501: $i,SV1: $i] :
( ( ( ! [SY585: $i] :
( ~ ( in @ SY585 @ SV1 )
| ~ ( in @ SV501 @ SY585 )
| ( in @ SV501 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK210_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2925]) ).
thf(3252,plain,
! [SV1: $i] :
( ( ( ( ( sK210_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2926]) ).
thf(3253,plain,
! [SV1: $i] :
( ( ( ! [SY465: $i] :
~ ~ ( ~ ( in @ SY465 @ ( sK210_SY8 @ SV1 ) )
| ~ ! [SY466: $i] :
( ~ ( in @ SY466 @ ( sK210_SY8 @ SV1 ) )
| ( SY465 = SY466 )
| ( in @ SY465 @ SY466 ) ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2927]) ).
thf(3254,plain,
! [SV502: $i,SV1: $i] :
( ( ( ! [SY586: $i] :
( ~ ( in @ SY586 @ SV1 )
| ~ ( in @ SV502 @ SY586 )
| ( in @ SV502 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK211_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2928]) ).
thf(3255,plain,
! [SV1: $i] :
( ( ( ( ( sK211_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2929]) ).
thf(3256,plain,
! [SV1: $i] :
( ( ( ! [SY467: $i] :
~ ~ ( ~ ( in @ SY467 @ ( sK211_SY8 @ SV1 ) )
| ~ ! [SY468: $i] :
( ~ ( in @ SY468 @ ( sK211_SY8 @ SV1 ) )
| ( SY467 = SY468 )
| ( in @ SY467 @ SY468 ) ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2930]) ).
thf(3257,plain,
! [SV441: $i,SV1: $i,SV503: $i] :
( ( ( ~ ( in @ SV503 @ SV1 )
| ~ ( in @ SV441 @ SV503 )
| ( in @ SV441 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK192_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2931]) ).
thf(3258,plain,
! [SV1: $i] :
( ( ( ( sK192_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2932]) ).
thf(3259,plain,
! [SV1: $i,SV504: $i] :
( ( ( ~ ~ ( ~ ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
| ~ ! [SY587: $i] :
( ~ ( in @ SY587 @ ( sK192_SY8 @ SV1 ) )
| ( SV504 = SY587 )
| ( in @ SV504 @ SY587 ) ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2933]) ).
thf(3260,plain,
! [SV442: $i,SV1: $i,SV505: $i] :
( ( ( ~ ( in @ SV505 @ SV1 )
| ~ ( in @ SV442 @ SV505 )
| ( in @ SV442 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK193_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2934]) ).
thf(3261,plain,
! [SV1: $i] :
( ( ( ( sK193_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2935]) ).
thf(3262,plain,
! [SV1: $i,SV506: $i] :
( ( ( ~ ~ ( ~ ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
| ~ ! [SY588: $i] :
( ~ ( in @ SY588 @ ( sK193_SY8 @ SV1 ) )
| ( SV506 = SY588 )
| ( in @ SV506 @ SY588 ) ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2936]) ).
thf(3263,plain,
! [SV1: $i,SV259: $i,SV203: $i] :
( ( ( in @ SV203 @ SV259 )
= $false )
| ( ( in @ SV203 @ SV1 )
= $true )
| ( ( in @ SV259 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK108_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2937]) ).
thf(3264,plain,
! [SV1: $i,SV148: $i] :
( ( ( ~ ( in @ ( sK246_SY303 @ SV148 @ SV1 ) @ ( sK108_SY8 @ SV1 ) )
| ( SV148
= ( sK246_SY303 @ SV148 @ SV1 ) )
| ( in @ SV148 @ ( sK246_SY303 @ SV148 @ SV1 ) ) )
= $false )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2938]) ).
thf(3265,plain,
! [SV1: $i,SV260: $i,SV204: $i] :
( ( ( in @ SV204 @ SV260 )
= $false )
| ( ( in @ SV204 @ SV1 )
= $true )
| ( ( in @ SV260 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK109_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2939]) ).
thf(3266,plain,
! [SV1: $i,SV150: $i] :
( ( ( ~ ( in @ ( sK247_SY304 @ SV150 @ SV1 ) @ ( sK109_SY8 @ SV1 ) )
| ( SV150
= ( sK247_SY304 @ SV150 @ SV1 ) )
| ( in @ SV150 @ ( sK247_SY304 @ SV150 @ SV1 ) ) )
= $false )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2940]) ).
thf(3267,plain,
! [SV1: $i,SV261: $i,SV205: $i] :
( ( ( in @ SV205 @ SV261 )
= $false )
| ( ( in @ SV205 @ SV1 )
= $true )
| ( ( in @ SV261 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK136_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2941]) ).
thf(3268,plain,
! [SV329: $i,SV1: $i,SV389: $i] :
( ( ( in @ SV389 @ SV1 )
= $false )
| ( ( ~ ( in @ SV329 @ SV389 )
| ( in @ SV329 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK136_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2942]) ).
thf(3269,plain,
! [SV1: $i,SV262: $i] :
( ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY397: $i] :
( ~ ( in @ SY397 @ ( sK136_SY8 @ SV1 ) )
| ( SV262 = SY397 )
| ( in @ SV262 @ SY397 ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2943]) ).
thf(3270,plain,
! [SV1: $i,SV263: $i,SV206: $i] :
( ( ( in @ SV206 @ SV263 )
= $false )
| ( ( in @ SV206 @ SV1 )
= $true )
| ( ( in @ SV263 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK137_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2944]) ).
thf(3271,plain,
! [SV330: $i,SV1: $i,SV390: $i] :
( ( ( in @ SV390 @ SV1 )
= $false )
| ( ( ~ ( in @ SV330 @ SV390 )
| ( in @ SV330 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK137_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2945]) ).
thf(3272,plain,
! [SV1: $i,SV264: $i] :
( ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY398: $i] :
( ~ ( in @ SY398 @ ( sK137_SY8 @ SV1 ) )
| ( SV264 = SY398 )
| ( in @ SV264 @ SY398 ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2946]) ).
thf(3273,plain,
! [SV1: $i,SV331: $i,SV265: $i] :
( ( ( ~ ( in @ SV265 @ SV331 ) )
= $true )
| ( ( in @ SV265 @ SV1 )
= $true )
| ( ( in @ SV331 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK160_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2947]) ).
thf(3274,plain,
! [SV391: $i,SV1: $i,SV443: $i] :
( ( ( ~ ( in @ SV443 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV391 @ SV443 )
| ( in @ SV391 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK160_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2948]) ).
thf(3275,plain,
! [SV1: $i,SV332: $i] :
( ( ( ~ ( in @ SV332 @ ( sK160_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY471: $i] :
( ~ ( in @ SY471 @ ( sK160_SY8 @ SV1 ) )
| ( SV332 = SY471 )
| ( in @ SV332 @ SY471 ) ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2949]) ).
thf(3276,plain,
! [SV1: $i,SV333: $i,SV266: $i] :
( ( ( ~ ( in @ SV266 @ SV333 ) )
= $true )
| ( ( in @ SV266 @ SV1 )
= $true )
| ( ( in @ SV333 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK161_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2950]) ).
thf(3277,plain,
! [SV392: $i,SV1: $i,SV444: $i] :
( ( ( ~ ( in @ SV444 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV392 @ SV444 )
| ( in @ SV392 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK161_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2951]) ).
thf(3278,plain,
! [SV1: $i,SV334: $i] :
( ( ( ~ ( in @ SV334 @ ( sK161_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY472: $i] :
( ~ ( in @ SY472 @ ( sK161_SY8 @ SV1 ) )
| ( SV334 = SY472 )
| ( in @ SV334 @ SY472 ) ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2952]) ).
thf(3279,plain,
! [SV1: $i,SV335: $i,SV267: $i] :
( ( ( ~ ( in @ SV267 @ SV335 ) )
= $true )
| ( ( in @ SV267 @ SV1 )
= $true )
| ( ( in @ SV335 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK162_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2953]) ).
thf(3280,plain,
! [SV393: $i,SV1: $i,SV445: $i] :
( ( ( ~ ( in @ SV445 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV393 @ SV445 )
| ( in @ SV393 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK162_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2954]) ).
thf(3281,plain,
! [SV1: $i,SV336: $i] :
( ( ( ~ ( in @ SV336 @ ( sK162_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY473: $i] :
( ~ ( in @ SY473 @ ( sK162_SY8 @ SV1 ) )
| ( SV336 = SY473 )
| ( in @ SV336 @ SY473 ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2955]) ).
thf(3282,plain,
! [SV1: $i,SV337: $i,SV268: $i] :
( ( ( ~ ( in @ SV268 @ SV337 ) )
= $true )
| ( ( in @ SV268 @ SV1 )
= $true )
| ( ( in @ SV337 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK163_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2956]) ).
thf(3283,plain,
! [SV394: $i,SV1: $i,SV446: $i] :
( ( ( ~ ( in @ SV446 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV394 @ SV446 )
| ( in @ SV394 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK163_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2957]) ).
thf(3284,plain,
! [SV1: $i,SV338: $i] :
( ( ( ~ ( in @ SV338 @ ( sK163_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY474: $i] :
( ~ ( in @ SY474 @ ( sK163_SY8 @ SV1 ) )
| ( SV338 = SY474 )
| ( in @ SV338 @ SY474 ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2958]) ).
thf(3285,plain,
! [SV1: $i,SV269: $i,SV207: $i] :
( ( ( in @ SV207 @ SV269 )
= $false )
| ( ( in @ SV207 @ SV1 )
= $true )
| ( ( in @ SV269 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK138_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2959]) ).
thf(3286,plain,
! [SV339: $i,SV1: $i,SV395: $i] :
( ( ( in @ SV395 @ SV1 )
= $false )
| ( ( ~ ( in @ SV339 @ SV395 )
| ( in @ SV339 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ( sK138_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2960]) ).
thf(3287,plain,
! [SV1: $i,SV270: $i] :
( ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY403: $i] :
( ~ ( in @ SY403 @ ( sK138_SY8 @ SV1 ) )
| ( SV270 = SY403 )
| ( in @ SV270 @ SY403 ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2961]) ).
thf(3288,plain,
! [SV1: $i,SV271: $i,SV208: $i] :
( ( ( in @ SV208 @ SV271 )
= $false )
| ( ( in @ SV208 @ SV1 )
= $true )
| ( ( in @ SV271 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK139_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2962]) ).
thf(3289,plain,
! [SV340: $i,SV1: $i,SV396: $i] :
( ( ( in @ SV396 @ SV1 )
= $false )
| ( ( ~ ( in @ SV340 @ SV396 )
| ( in @ SV340 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ( sK139_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2963]) ).
thf(3290,plain,
! [SV1: $i,SV272: $i] :
( ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY404: $i] :
( ~ ( in @ SY404 @ ( sK139_SY8 @ SV1 ) )
| ( SV272 = SY404 )
| ( in @ SV272 @ SY404 ) ) )
= $true )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2964]) ).
thf(3291,plain,
! [SV22: $i,SV447: $i,SV1: $i,SV507: $i] :
( ( ( ~ ( in @ SV507 @ SV1 )
| ~ ( in @ SV447 @ SV507 )
| ( in @ SV447 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK194_SY111 @ SV22 @ SV1 ) @ ( sK48_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2965]) ).
thf(3292,plain,
! [SV22: $i,SV448: $i,SV1: $i,SV508: $i] :
( ( ( ~ ( in @ SV508 @ SV1 )
| ~ ( in @ SV448 @ SV508 )
| ( in @ SV448 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( SV22
= ( sK194_SY111 @ SV22 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2966]) ).
thf(3293,plain,
! [SV22: $i,SV449: $i,SV1: $i,SV509: $i] :
( ( ( ~ ( in @ SV509 @ SV1 )
| ~ ( in @ SV449 @ SV509 )
| ( in @ SV449 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV22 @ ( sK194_SY111 @ SV22 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2967]) ).
thf(3294,plain,
! [SV24: $i,SV450: $i,SV1: $i,SV510: $i] :
( ( ( ~ ( in @ SV510 @ SV1 )
| ~ ( in @ SV450 @ SV510 )
| ( in @ SV450 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK195_SY112 @ SV24 @ SV1 ) @ ( sK49_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2968]) ).
thf(3295,plain,
! [SV24: $i,SV451: $i,SV1: $i,SV511: $i] :
( ( ( ~ ( in @ SV511 @ SV1 )
| ~ ( in @ SV451 @ SV511 )
| ( in @ SV451 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( SV24
= ( sK195_SY112 @ SV24 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2969]) ).
thf(3296,plain,
! [SV24: $i,SV452: $i,SV1: $i,SV512: $i] :
( ( ( ~ ( in @ SV512 @ SV1 )
| ~ ( in @ SV452 @ SV512 )
| ( in @ SV452 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV24 @ ( sK195_SY112 @ SV24 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2970]) ).
thf(3297,plain,
! [SV1: $i,SV62: $i] :
( ( ( in @ ( sK226_SY187 @ SV62 @ SV1 ) @ ( sK72_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2971]) ).
thf(3298,plain,
! [SV1: $i,SV62: $i] :
( ( ( SV62
= ( sK226_SY187 @ SV62 @ SV1 ) )
= $false )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2972]) ).
thf(3299,plain,
! [SV1: $i,SV62: $i] :
( ( ( in @ SV62 @ ( sK226_SY187 @ SV62 @ SV1 ) )
= $false )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2972]) ).
thf(3300,plain,
! [SV1: $i,SV64: $i] :
( ( ( in @ ( sK227_SY188 @ SV64 @ SV1 ) @ ( sK73_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2973]) ).
thf(3301,plain,
! [SV1: $i,SV64: $i] :
( ( ( SV64
= ( sK227_SY188 @ SV64 @ SV1 ) )
= $false )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2974]) ).
thf(3302,plain,
! [SV1: $i,SV64: $i] :
( ( ( in @ SV64 @ ( sK227_SY188 @ SV64 @ SV1 ) )
= $false )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2974]) ).
thf(3303,plain,
! [SV1: $i,SV102: $i] :
( ( ( ~ ( in @ ( sK236_SY249 @ SV102 @ SV1 ) @ ( sK92_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2976]) ).
thf(3304,plain,
! [SV1: $i,SV102: $i] :
( ( ( ( SV102
= ( sK236_SY249 @ SV102 @ SV1 ) )
| ( in @ SV102 @ ( sK236_SY249 @ SV102 @ SV1 ) ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2976]) ).
thf(3305,plain,
! [SV1: $i,SV104: $i] :
( ( ( ~ ( in @ ( sK237_SY250 @ SV104 @ SV1 ) @ ( sK93_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2978]) ).
thf(3306,plain,
! [SV1: $i,SV104: $i] :
( ( ( ( SV104
= ( sK237_SY250 @ SV104 @ SV1 ) )
| ( in @ SV104 @ ( sK237_SY250 @ SV104 @ SV1 ) ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2978]) ).
thf(3307,plain,
! [SV1: $i,SV106: $i] :
( ( ( ~ ( in @ ( sK238_SY251 @ SV106 @ SV1 ) @ ( sK94_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2980]) ).
thf(3308,plain,
! [SV1: $i,SV106: $i] :
( ( ( ( SV106
= ( sK238_SY251 @ SV106 @ SV1 ) )
| ( in @ SV106 @ ( sK238_SY251 @ SV106 @ SV1 ) ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2980]) ).
thf(3309,plain,
! [SV1: $i,SV108: $i] :
( ( ( ~ ( in @ ( sK239_SY252 @ SV108 @ SV1 ) @ ( sK95_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2982]) ).
thf(3310,plain,
! [SV1: $i,SV108: $i] :
( ( ( ( SV108
= ( sK239_SY252 @ SV108 @ SV1 ) )
| ( in @ SV108 @ ( sK239_SY252 @ SV108 @ SV1 ) ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2982]) ).
thf(3311,plain,
! [SV1: $i,SV70: $i] :
( ( ( in @ ( sK228_SY193 @ SV70 @ SV1 ) @ ( sK74_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2983]) ).
thf(3312,plain,
! [SV1: $i,SV70: $i] :
( ( ( SV70
= ( sK228_SY193 @ SV70 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2984]) ).
thf(3313,plain,
! [SV1: $i,SV70: $i] :
( ( ( in @ SV70 @ ( sK228_SY193 @ SV70 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2984]) ).
thf(3314,plain,
! [SV1: $i,SV72: $i] :
( ( ( in @ ( sK229_SY194 @ SV72 @ SV1 ) @ ( sK75_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2985]) ).
thf(3315,plain,
! [SV1: $i,SV72: $i] :
( ( ( SV72
= ( sK229_SY194 @ SV72 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2986]) ).
thf(3316,plain,
! [SV1: $i,SV72: $i] :
( ( ( in @ SV72 @ ( sK229_SY194 @ SV72 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2986]) ).
thf(3317,plain,
! [SV1: $i,SV74: $i] :
( ( ( in @ ( sK230_SY195 @ SV74 @ SV1 ) @ ( sK76_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2987]) ).
thf(3318,plain,
! [SV1: $i,SV74: $i] :
( ( ( SV74
= ( sK230_SY195 @ SV74 @ SV1 ) )
= $false )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2988]) ).
thf(3319,plain,
! [SV1: $i,SV74: $i] :
( ( ( in @ SV74 @ ( sK230_SY195 @ SV74 @ SV1 ) )
= $false )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2988]) ).
thf(3320,plain,
! [SV1: $i,SV76: $i] :
( ( ( in @ ( sK231_SY196 @ SV76 @ SV1 ) @ ( sK77_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2989]) ).
thf(3321,plain,
! [SV1: $i,SV76: $i] :
( ( ( SV76
= ( sK231_SY196 @ SV76 @ SV1 ) )
= $false )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2990]) ).
thf(3322,plain,
! [SV1: $i,SV76: $i] :
( ( ( in @ SV76 @ ( sK231_SY196 @ SV76 @ SV1 ) )
= $false )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2990]) ).
thf(3323,plain,
! [SV1: $i,SV273: $i,SV213: $i] :
( ( ( in @ SV213 @ SV273 )
= $false )
| ( ( in @ SV213 @ SV1 )
= $true )
| ( ( in @ SV273 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK110_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2991]) ).
thf(3324,plain,
! [SV1: $i,SV162: $i] :
( ( ( ~ ( in @ ( sK248_SY309 @ SV162 @ SV1 ) @ ( sK110_SY8 @ SV1 ) )
| ( SV162
= ( sK248_SY309 @ SV162 @ SV1 ) )
| ( in @ SV162 @ ( sK248_SY309 @ SV162 @ SV1 ) ) )
= $false )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2992]) ).
thf(3325,plain,
! [SV1: $i,SV274: $i,SV214: $i] :
( ( ( in @ SV214 @ SV274 )
= $false )
| ( ( in @ SV214 @ SV1 )
= $true )
| ( ( in @ SV274 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK111_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2993]) ).
thf(3326,plain,
! [SV1: $i,SV164: $i] :
( ( ( ~ ( in @ ( sK249_SY310 @ SV164 @ SV1 ) @ ( sK111_SY8 @ SV1 ) )
| ( SV164
= ( sK249_SY310 @ SV164 @ SV1 ) )
| ( in @ SV164 @ ( sK249_SY310 @ SV164 @ SV1 ) ) )
= $false )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2994]) ).
thf(3327,plain,
! [SV1: $i,SV341: $i,SV275: $i] :
( ( ( ~ ( in @ SV275 @ SV341 ) )
= $true )
| ( ( in @ SV275 @ SV1 )
= $true )
| ( ( in @ SV341 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK124_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2996]) ).
thf(3328,plain,
! [SV216: $i,SV1: $i] :
( ( ( ! [SY351: $i] :
( ~ ( in @ SY351 @ ( sK124_SY8 @ SV1 ) )
| ( SV216 = SY351 )
| ( in @ SV216 @ SY351 ) ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2997]) ).
thf(3329,plain,
! [SV1: $i,SV342: $i,SV276: $i] :
( ( ( ~ ( in @ SV276 @ SV342 ) )
= $true )
| ( ( in @ SV276 @ SV1 )
= $true )
| ( ( in @ SV342 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK125_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2999]) ).
thf(3330,plain,
! [SV218: $i,SV1: $i] :
( ( ( ! [SY352: $i] :
( ~ ( in @ SY352 @ ( sK125_SY8 @ SV1 ) )
| ( SV218 = SY352 )
| ( in @ SV218 @ SY352 ) ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3000]) ).
thf(3331,plain,
! [SV1: $i,SV343: $i,SV277: $i] :
( ( ( ~ ( in @ SV277 @ SV343 ) )
= $true )
| ( ( in @ SV277 @ SV1 )
= $true )
| ( ( in @ SV343 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK126_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3002]) ).
thf(3332,plain,
! [SV220: $i,SV1: $i] :
( ( ( ! [SY353: $i] :
( ~ ( in @ SY353 @ ( sK126_SY8 @ SV1 ) )
| ( SV220 = SY353 )
| ( in @ SV220 @ SY353 ) ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3003]) ).
thf(3333,plain,
! [SV1: $i,SV344: $i,SV278: $i] :
( ( ( ~ ( in @ SV278 @ SV344 ) )
= $true )
| ( ( in @ SV278 @ SV1 )
= $true )
| ( ( in @ SV344 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK127_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3005]) ).
thf(3334,plain,
! [SV222: $i,SV1: $i] :
( ( ( ! [SY354: $i] :
( ~ ( in @ SY354 @ ( sK127_SY8 @ SV1 ) )
| ( SV222 = SY354 )
| ( in @ SV222 @ SY354 ) ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3006]) ).
thf(3335,plain,
! [SV1: $i,SV279: $i,SV223: $i] :
( ( ( in @ SV223 @ SV279 )
= $false )
| ( ( in @ SV223 @ SV1 )
= $true )
| ( ( in @ SV279 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ( sK112_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3007]) ).
thf(3336,plain,
! [SV1: $i,SV170: $i] :
( ( ( ~ ( in @ ( sK250_SY315 @ SV170 @ SV1 ) @ ( sK112_SY8 @ SV1 ) )
| ( SV170
= ( sK250_SY315 @ SV170 @ SV1 ) )
| ( in @ SV170 @ ( sK250_SY315 @ SV170 @ SV1 ) ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3008]) ).
thf(3337,plain,
! [SV1: $i,SV280: $i,SV224: $i] :
( ( ( in @ SV224 @ SV280 )
= $false )
| ( ( in @ SV224 @ SV1 )
= $true )
| ( ( in @ SV280 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( ( sK113_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3009]) ).
thf(3338,plain,
! [SV1: $i,SV172: $i] :
( ( ( ~ ( in @ ( sK251_SY316 @ SV172 @ SV1 ) @ ( sK113_SY8 @ SV1 ) )
| ( SV172
= ( sK251_SY316 @ SV172 @ SV1 ) )
| ( in @ SV172 @ ( sK251_SY316 @ SV172 @ SV1 ) ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3010]) ).
thf(3339,plain,
! [SV1: $i,SV281: $i,SV225: $i] :
( ( ( in @ SV225 @ SV281 )
= $false )
| ( ( in @ SV225 @ SV1 )
= $true )
| ( ( in @ SV281 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK114_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3011]) ).
thf(3340,plain,
! [SV1: $i,SV174: $i] :
( ( ( ~ ( in @ ( sK252_SY317 @ SV174 @ SV1 ) @ ( sK114_SY8 @ SV1 ) )
| ( SV174
= ( sK252_SY317 @ SV174 @ SV1 ) )
| ( in @ SV174 @ ( sK252_SY317 @ SV174 @ SV1 ) ) )
= $false )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3012]) ).
thf(3341,plain,
! [SV1: $i,SV282: $i,SV226: $i] :
( ( ( in @ SV226 @ SV282 )
= $false )
| ( ( in @ SV226 @ SV1 )
= $true )
| ( ( in @ SV282 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK115_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3013]) ).
thf(3342,plain,
! [SV1: $i,SV176: $i] :
( ( ( ~ ( in @ ( sK253_SY318 @ SV176 @ SV1 ) @ ( sK115_SY8 @ SV1 ) )
| ( SV176
= ( sK253_SY318 @ SV176 @ SV1 ) )
| ( in @ SV176 @ ( sK253_SY318 @ SV176 @ SV1 ) ) )
= $false )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3014]) ).
thf(3343,plain,
! [SV1: $i,SV283: $i,SV227: $i] :
( ( ( in @ SV227 @ SV283 )
= $false )
| ( ( in @ SV227 @ SV1 )
= $true )
| ( ( in @ SV283 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK140_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3015]) ).
thf(3344,plain,
! [SV345: $i,SV1: $i,SV397: $i] :
( ( ( in @ SV397 @ SV1 )
= $false )
| ( ( ~ ( in @ SV345 @ SV397 )
| ( in @ SV345 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK140_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3016]) ).
thf(3345,plain,
! [SV1: $i,SV284: $i] :
( ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY409: $i] :
( ~ ( in @ SY409 @ ( sK140_SY8 @ SV1 ) )
| ( SV284 = SY409 )
| ( in @ SV284 @ SY409 ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3017]) ).
thf(3346,plain,
! [SV1: $i,SV285: $i,SV228: $i] :
( ( ( in @ SV228 @ SV285 )
= $false )
| ( ( in @ SV228 @ SV1 )
= $true )
| ( ( in @ SV285 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK141_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3018]) ).
thf(3347,plain,
! [SV346: $i,SV1: $i,SV398: $i] :
( ( ( in @ SV398 @ SV1 )
= $false )
| ( ( ~ ( in @ SV346 @ SV398 )
| ( in @ SV346 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK141_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3019]) ).
thf(3348,plain,
! [SV1: $i,SV286: $i] :
( ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY410: $i] :
( ~ ( in @ SY410 @ ( sK141_SY8 @ SV1 ) )
| ( SV286 = SY410 )
| ( in @ SV286 @ SY410 ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3020]) ).
thf(3349,plain,
! [SV1: $i,SV347: $i,SV287: $i] :
( ( ( ~ ( in @ SV287 @ SV347 ) )
= $true )
| ( ( in @ SV287 @ SV1 )
= $true )
| ( ( in @ SV347 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK164_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3021]) ).
thf(3350,plain,
! [SV399: $i,SV1: $i,SV453: $i] :
( ( ( ~ ( in @ SV453 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV399 @ SV453 )
| ( in @ SV399 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK164_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3022]) ).
thf(3351,plain,
! [SV1: $i,SV348: $i] :
( ( ( ~ ( in @ SV348 @ ( sK164_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY479: $i] :
( ~ ( in @ SY479 @ ( sK164_SY8 @ SV1 ) )
| ( SV348 = SY479 )
| ( in @ SV348 @ SY479 ) ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3023]) ).
thf(3352,plain,
! [SV1: $i,SV349: $i,SV288: $i] :
( ( ( ~ ( in @ SV288 @ SV349 ) )
= $true )
| ( ( in @ SV288 @ SV1 )
= $true )
| ( ( in @ SV349 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK165_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3024]) ).
thf(3353,plain,
! [SV400: $i,SV1: $i,SV454: $i] :
( ( ( ~ ( in @ SV454 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV400 @ SV454 )
| ( in @ SV400 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK165_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3025]) ).
thf(3354,plain,
! [SV1: $i,SV350: $i] :
( ( ( ~ ( in @ SV350 @ ( sK165_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY480: $i] :
( ~ ( in @ SY480 @ ( sK165_SY8 @ SV1 ) )
| ( SV350 = SY480 )
| ( in @ SV350 @ SY480 ) ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3026]) ).
thf(3355,plain,
! [SV1: $i,SV351: $i,SV289: $i] :
( ( ( ~ ( in @ SV289 @ SV351 ) )
= $true )
| ( ( in @ SV289 @ SV1 )
= $true )
| ( ( in @ SV351 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK166_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3027]) ).
thf(3356,plain,
! [SV401: $i,SV1: $i,SV455: $i] :
( ( ( ~ ( in @ SV455 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV401 @ SV455 )
| ( in @ SV401 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK166_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3028]) ).
thf(3357,plain,
! [SV1: $i,SV352: $i] :
( ( ( ~ ( in @ SV352 @ ( sK166_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY481: $i] :
( ~ ( in @ SY481 @ ( sK166_SY8 @ SV1 ) )
| ( SV352 = SY481 )
| ( in @ SV352 @ SY481 ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3029]) ).
thf(3358,plain,
! [SV1: $i,SV353: $i,SV290: $i] :
( ( ( ~ ( in @ SV290 @ SV353 ) )
= $true )
| ( ( in @ SV290 @ SV1 )
= $true )
| ( ( in @ SV353 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK167_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3030]) ).
thf(3359,plain,
! [SV402: $i,SV1: $i,SV456: $i] :
( ( ( ~ ( in @ SV456 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV402 @ SV456 )
| ( in @ SV402 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK167_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3031]) ).
thf(3360,plain,
! [SV1: $i,SV354: $i] :
( ( ( ~ ( in @ SV354 @ ( sK167_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY482: $i] :
( ~ ( in @ SY482 @ ( sK167_SY8 @ SV1 ) )
| ( SV354 = SY482 )
| ( in @ SV354 @ SY482 ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3032]) ).
thf(3361,plain,
! [SV1: $i,SV291: $i,SV229: $i] :
( ( ( in @ SV229 @ SV291 )
= $false )
| ( ( in @ SV229 @ SV1 )
= $true )
| ( ( in @ SV291 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK142_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3033]) ).
thf(3362,plain,
! [SV355: $i,SV1: $i,SV403: $i] :
( ( ( in @ SV403 @ SV1 )
= $false )
| ( ( ~ ( in @ SV355 @ SV403 )
| ( in @ SV355 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ( sK142_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3034]) ).
thf(3363,plain,
! [SV1: $i,SV292: $i] :
( ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY415: $i] :
( ~ ( in @ SY415 @ ( sK142_SY8 @ SV1 ) )
| ( SV292 = SY415 )
| ( in @ SV292 @ SY415 ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3035]) ).
thf(3364,plain,
! [SV1: $i,SV293: $i,SV230: $i] :
( ( ( in @ SV230 @ SV293 )
= $false )
| ( ( in @ SV230 @ SV1 )
= $true )
| ( ( in @ SV293 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK143_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3036]) ).
thf(3365,plain,
! [SV356: $i,SV1: $i,SV404: $i] :
( ( ( in @ SV404 @ SV1 )
= $false )
| ( ( ~ ( in @ SV356 @ SV404 )
| ( in @ SV356 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ( sK143_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3037]) ).
thf(3366,plain,
! [SV1: $i,SV294: $i] :
( ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY416: $i] :
( ~ ( in @ SY416 @ ( sK143_SY8 @ SV1 ) )
| ( SV294 = SY416 )
| ( in @ SV294 @ SY416 ) ) )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3038]) ).
thf(3367,plain,
! [SV357: $i,SV1: $i,SV405: $i] :
( ( ( in @ SV405 @ SV1 )
= $false )
| ( ( ~ ( in @ SV357 @ SV405 )
| ( in @ SV357 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK180_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3039]) ).
thf(3368,plain,
! [SV457: $i,SV1: $i,SV513: $i] :
( ( ( ~ ( in @ SV513 @ SV1 )
| ~ ( in @ SV457 @ SV513 )
| ( in @ SV457 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK180_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3040]) ).
thf(3369,plain,
! [SV1: $i,SV406: $i] :
( ( ( ~ ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
| ~ ! [SY529: $i] :
( ~ ( in @ SY529 @ ( sK180_SY8 @ SV1 ) )
| ( SV406 = SY529 )
| ( in @ SV406 @ SY529 ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3041]) ).
thf(3370,plain,
! [SV358: $i,SV1: $i,SV407: $i] :
( ( ( in @ SV407 @ SV1 )
= $false )
| ( ( ~ ( in @ SV358 @ SV407 )
| ( in @ SV358 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK181_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3042]) ).
thf(3371,plain,
! [SV458: $i,SV1: $i,SV514: $i] :
( ( ( ~ ( in @ SV514 @ SV1 )
| ~ ( in @ SV458 @ SV514 )
| ( in @ SV458 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK181_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3043]) ).
thf(3372,plain,
! [SV1: $i,SV408: $i] :
( ( ( ~ ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
| ~ ! [SY530: $i] :
( ~ ( in @ SY530 @ ( sK181_SY8 @ SV1 ) )
| ( SV408 = SY530 )
| ( in @ SV408 @ SY530 ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3044]) ).
thf(3373,plain,
! [SV459: $i,SV1: $i,SV515: $i] :
( ( ( ~ ( in @ SV515 @ SV1 )
| ~ ( in @ SV459 @ SV515 )
| ( in @ SV459 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK196_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3045]) ).
thf(3374,plain,
! [SV1: $i] :
( ( ( ( sK196_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3046]) ).
thf(3375,plain,
! [SV1: $i,SV516: $i] :
( ( ( ~ ~ ( ~ ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
| ~ ! [SY589: $i] :
( ~ ( in @ SY589 @ ( sK196_SY8 @ SV1 ) )
| ( SV516 = SY589 )
| ( in @ SV516 @ SY589 ) ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3047]) ).
thf(3376,plain,
! [SV460: $i,SV1: $i,SV517: $i] :
( ( ( ~ ( in @ SV517 @ SV1 )
| ~ ( in @ SV460 @ SV517 )
| ( in @ SV460 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK197_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3048]) ).
thf(3377,plain,
! [SV1: $i] :
( ( ( ( sK197_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3049]) ).
thf(3378,plain,
! [SV1: $i,SV518: $i] :
( ( ( ~ ~ ( ~ ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
| ~ ! [SY590: $i] :
( ~ ( in @ SY590 @ ( sK197_SY8 @ SV1 ) )
| ( SV518 = SY590 )
| ( in @ SV518 @ SY590 ) ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3050]) ).
thf(3379,plain,
! [SV519: $i,SV1: $i] :
( ( ( ! [SY591: $i] :
( ~ ( in @ SY591 @ SV1 )
| ~ ( in @ SV519 @ SY591 )
| ( in @ SV519 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK212_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3051]) ).
thf(3380,plain,
! [SV1: $i] :
( ( ( ( ( sK212_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3052]) ).
thf(3381,plain,
! [SV1: $i] :
( ( ( ! [SY487: $i] :
~ ~ ( ~ ( in @ SY487 @ ( sK212_SY8 @ SV1 ) )
| ~ ! [SY488: $i] :
( ~ ( in @ SY488 @ ( sK212_SY8 @ SV1 ) )
| ( SY487 = SY488 )
| ( in @ SY487 @ SY488 ) ) ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3053]) ).
thf(3382,plain,
! [SV520: $i,SV1: $i] :
( ( ( ! [SY592: $i] :
( ~ ( in @ SY592 @ SV1 )
| ~ ( in @ SV520 @ SY592 )
| ( in @ SV520 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK213_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3054]) ).
thf(3383,plain,
! [SV1: $i] :
( ( ( ( ( sK213_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3055]) ).
thf(3384,plain,
! [SV1: $i] :
( ( ( ! [SY489: $i] :
~ ~ ( ~ ( in @ SY489 @ ( sK213_SY8 @ SV1 ) )
| ~ ! [SY490: $i] :
( ~ ( in @ SY490 @ ( sK213_SY8 @ SV1 ) )
| ( SY489 = SY490 )
| ( in @ SY489 @ SY490 ) ) ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3056]) ).
thf(3385,plain,
! [SV521: $i,SV1: $i] :
( ( ( ! [SY593: $i] :
( ~ ( in @ SY593 @ SV1 )
| ~ ( in @ SV521 @ SY593 )
| ( in @ SV521 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK214_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3057]) ).
thf(3386,plain,
! [SV1: $i] :
( ( ( ( ( sK214_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3058]) ).
thf(3387,plain,
! [SV1: $i] :
( ( ( ! [SY491: $i] :
~ ~ ( ~ ( in @ SY491 @ ( sK214_SY8 @ SV1 ) )
| ~ ! [SY492: $i] :
( ~ ( in @ SY492 @ ( sK214_SY8 @ SV1 ) )
| ( SY491 = SY492 )
| ( in @ SY491 @ SY492 ) ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3059]) ).
thf(3388,plain,
! [SV522: $i,SV1: $i] :
( ( ( ! [SY594: $i] :
( ~ ( in @ SY594 @ SV1 )
| ~ ( in @ SV522 @ SY594 )
| ( in @ SV522 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK215_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3060]) ).
thf(3389,plain,
! [SV1: $i] :
( ( ( ( ( sK215_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3061]) ).
thf(3390,plain,
! [SV1: $i] :
( ( ( ! [SY493: $i] :
~ ~ ( ~ ( in @ SY493 @ ( sK215_SY8 @ SV1 ) )
| ~ ! [SY494: $i] :
( ~ ( in @ SY494 @ ( sK215_SY8 @ SV1 ) )
| ( SY493 = SY494 )
| ( in @ SY493 @ SY494 ) ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3062]) ).
thf(3391,plain,
! [SV461: $i,SV1: $i,SV523: $i] :
( ( ( ~ ( in @ SV523 @ SV1 )
| ~ ( in @ SV461 @ SV523 )
| ( in @ SV461 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK198_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3063]) ).
thf(3392,plain,
! [SV1: $i] :
( ( ( ( sK198_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3064]) ).
thf(3393,plain,
! [SV1: $i,SV524: $i] :
( ( ( ~ ~ ( ~ ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
| ~ ! [SY595: $i] :
( ~ ( in @ SY595 @ ( sK198_SY8 @ SV1 ) )
| ( SV524 = SY595 )
| ( in @ SV524 @ SY595 ) ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3065]) ).
thf(3394,plain,
! [SV462: $i,SV1: $i,SV525: $i] :
( ( ( ~ ( in @ SV525 @ SV1 )
| ~ ( in @ SV462 @ SV525 )
| ( in @ SV462 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK199_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3066]) ).
thf(3395,plain,
! [SV1: $i] :
( ( ( ( sK199_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3067]) ).
thf(3396,plain,
! [SV1: $i,SV526: $i] :
( ( ( ~ ~ ( ~ ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
| ~ ! [SY596: $i] :
( ~ ( in @ SY596 @ ( sK199_SY8 @ SV1 ) )
| ( SV526 = SY596 )
| ( in @ SV526 @ SY596 ) ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3068]) ).
thf(3397,plain,
! [SV359: $i,SV1: $i,SV409: $i] :
( ( ( in @ SV409 @ SV1 )
= $false )
| ( ( ~ ( in @ SV359 @ SV409 )
| ( in @ SV359 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK182_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3069]) ).
thf(3398,plain,
! [SV463: $i,SV1: $i,SV527: $i] :
( ( ( ~ ( in @ SV527 @ SV1 )
| ~ ( in @ SV463 @ SV527 )
| ( in @ SV463 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK182_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3070]) ).
thf(3399,plain,
! [SV1: $i,SV410: $i] :
( ( ( ~ ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
| ~ ! [SY531: $i] :
( ~ ( in @ SY531 @ ( sK182_SY8 @ SV1 ) )
| ( SV410 = SY531 )
| ( in @ SV410 @ SY531 ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3071]) ).
thf(3400,plain,
! [SV360: $i,SV1: $i,SV411: $i] :
( ( ( in @ SV411 @ SV1 )
= $false )
| ( ( ~ ( in @ SV360 @ SV411 )
| ( in @ SV360 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK183_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3072]) ).
thf(3401,plain,
! [SV464: $i,SV1: $i,SV528: $i] :
( ( ( ~ ( in @ SV528 @ SV1 )
| ~ ( in @ SV464 @ SV528 )
| ( in @ SV464 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK183_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3073]) ).
thf(3402,plain,
! [SV1: $i,SV412: $i] :
( ( ( ~ ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
| ~ ! [SY532: $i] :
( ~ ( in @ SY532 @ ( sK183_SY8 @ SV1 ) )
| ( SV412 = SY532 )
| ( in @ SV412 @ SY532 ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3074]) ).
thf(3403,plain,
! [SV465: $i,SV1: $i,SV529: $i] :
( ( ( ~ ( in @ SV529 @ SV1 )
| ~ ( in @ SV465 @ SV529 )
| ( in @ SV465 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK200_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3075]) ).
thf(3404,plain,
! [SV1: $i] :
( ( ( ( sK200_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3076]) ).
thf(3405,plain,
! [SV1: $i,SV530: $i] :
( ( ( ~ ~ ( ~ ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
| ~ ! [SY597: $i] :
( ~ ( in @ SY597 @ ( sK200_SY8 @ SV1 ) )
| ( SV530 = SY597 )
| ( in @ SV530 @ SY597 ) ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3077]) ).
thf(3406,plain,
! [SV466: $i,SV1: $i,SV531: $i] :
( ( ( ~ ( in @ SV531 @ SV1 )
| ~ ( in @ SV466 @ SV531 )
| ( in @ SV466 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK201_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3078]) ).
thf(3407,plain,
! [SV1: $i] :
( ( ( ( sK201_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3079]) ).
thf(3408,plain,
! [SV1: $i,SV532: $i] :
( ( ( ~ ~ ( ~ ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
| ~ ! [SY598: $i] :
( ~ ( in @ SY598 @ ( sK201_SY8 @ SV1 ) )
| ( SV532 = SY598 )
| ( in @ SV532 @ SY598 ) ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3080]) ).
thf(3409,plain,
! [SV533: $i,SV1: $i] :
( ( ( ! [SY599: $i] :
( ~ ( in @ SY599 @ SV1 )
| ~ ( in @ SV533 @ SY599 )
| ( in @ SV533 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK216_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3081]) ).
thf(3410,plain,
! [SV1: $i] :
( ( ( ( ( sK216_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3082]) ).
thf(3411,plain,
! [SV1: $i] :
( ( ( ! [SY497: $i] :
~ ~ ( ~ ( in @ SY497 @ ( sK216_SY8 @ SV1 ) )
| ~ ! [SY498: $i] :
( ~ ( in @ SY498 @ ( sK216_SY8 @ SV1 ) )
| ( SY497 = SY498 )
| ( in @ SY497 @ SY498 ) ) ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3083]) ).
thf(3412,plain,
! [SV534: $i,SV1: $i] :
( ( ( ! [SY600: $i] :
( ~ ( in @ SY600 @ SV1 )
| ~ ( in @ SV534 @ SY600 )
| ( in @ SV534 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK217_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3084]) ).
thf(3413,plain,
! [SV1: $i] :
( ( ( ( ( sK217_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3085]) ).
thf(3414,plain,
! [SV1: $i] :
( ( ( ! [SY499: $i] :
~ ~ ( ~ ( in @ SY499 @ ( sK217_SY8 @ SV1 ) )
| ~ ! [SY500: $i] :
( ~ ( in @ SY500 @ ( sK217_SY8 @ SV1 ) )
| ( SY499 = SY500 )
| ( in @ SY499 @ SY500 ) ) ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3086]) ).
thf(3415,plain,
! [SV535: $i,SV1: $i] :
( ( ( ! [SY601: $i] :
( ~ ( in @ SY601 @ SV1 )
| ~ ( in @ SV535 @ SY601 )
| ( in @ SV535 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK218_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3087]) ).
thf(3416,plain,
! [SV1: $i] :
( ( ( ( ( sK218_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3088]) ).
thf(3417,plain,
! [SV1: $i] :
( ( ( ! [SY501: $i] :
~ ~ ( ~ ( in @ SY501 @ ( sK218_SY8 @ SV1 ) )
| ~ ! [SY502: $i] :
( ~ ( in @ SY502 @ ( sK218_SY8 @ SV1 ) )
| ( SY501 = SY502 )
| ( in @ SY501 @ SY502 ) ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3089]) ).
thf(3418,plain,
! [SV536: $i,SV1: $i] :
( ( ( ! [SY602: $i] :
( ~ ( in @ SY602 @ SV1 )
| ~ ( in @ SV536 @ SY602 )
| ( in @ SV536 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK219_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3090]) ).
thf(3419,plain,
! [SV1: $i] :
( ( ( ( ( sK219_SY8 @ SV1 )
!= emptyset ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3091]) ).
thf(3420,plain,
! [SV1: $i] :
( ( ( ! [SY503: $i] :
~ ~ ( ~ ( in @ SY503 @ ( sK219_SY8 @ SV1 ) )
| ~ ! [SY504: $i] :
( ~ ( in @ SY504 @ ( sK219_SY8 @ SV1 ) )
| ( SY503 = SY504 )
| ( in @ SY503 @ SY504 ) ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3092]) ).
thf(3421,plain,
! [SV467: $i,SV1: $i,SV537: $i] :
( ( ( ~ ( in @ SV537 @ SV1 )
| ~ ( in @ SV467 @ SV537 )
| ( in @ SV467 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK202_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3093]) ).
thf(3422,plain,
! [SV1: $i] :
( ( ( ( sK202_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3094]) ).
thf(3423,plain,
! [SV1: $i,SV538: $i] :
( ( ( ~ ~ ( ~ ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
| ~ ! [SY603: $i] :
( ~ ( in @ SY603 @ ( sK202_SY8 @ SV1 ) )
| ( SV538 = SY603 )
| ( in @ SV538 @ SY603 ) ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3095]) ).
thf(3424,plain,
! [SV468: $i,SV1: $i,SV539: $i] :
( ( ( ~ ( in @ SV539 @ SV1 )
| ~ ( in @ SV468 @ SV539 )
| ( in @ SV468 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK203_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3096]) ).
thf(3425,plain,
! [SV1: $i] :
( ( ( ( sK203_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3097]) ).
thf(3426,plain,
! [SV1: $i,SV540: $i] :
( ( ( ~ ~ ( ~ ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
| ~ ! [SY604: $i] :
( ~ ( in @ SY604 @ ( sK203_SY8 @ SV1 ) )
| ( SV540 = SY604 )
| ( in @ SV540 @ SY604 ) ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3098]) ).
thf(3427,plain,
! [SV1: $i,SV295: $i,SV231: $i] :
( ( ( in @ SV231 @ SV295 )
= $false )
| ( ( in @ SV231 @ SV1 )
= $true )
| ( ( in @ SV295 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK118_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3099]) ).
thf(3428,plain,
! [SV1: $i,SV178: $i] :
( ( ( ~ ( in @ ( sK254_SY327 @ SV178 @ SV1 ) @ ( sK118_SY8 @ SV1 ) )
| ( SV178
= ( sK254_SY327 @ SV178 @ SV1 ) )
| ( in @ SV178 @ ( sK254_SY327 @ SV178 @ SV1 ) ) )
= $false )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3100]) ).
thf(3429,plain,
! [SV1: $i,SV296: $i,SV232: $i] :
( ( ( in @ SV232 @ SV296 )
= $false )
| ( ( in @ SV232 @ SV1 )
= $true )
| ( ( in @ SV296 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK119_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3101]) ).
thf(3430,plain,
! [SV1: $i,SV180: $i] :
( ( ( ~ ( in @ ( sK255_SY328 @ SV180 @ SV1 ) @ ( sK119_SY8 @ SV1 ) )
| ( SV180
= ( sK255_SY328 @ SV180 @ SV1 ) )
| ( in @ SV180 @ ( sK255_SY328 @ SV180 @ SV1 ) ) )
= $false )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3102]) ).
thf(3431,plain,
! [SV1: $i,SV297: $i,SV233: $i] :
( ( ( in @ SV233 @ SV297 )
= $false )
| ( ( in @ SV233 @ SV1 )
= $true )
| ( ( in @ SV297 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK148_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3103]) ).
thf(3432,plain,
! [SV361: $i,SV1: $i,SV413: $i] :
( ( ( in @ SV413 @ SV1 )
= $false )
| ( ( ~ ( in @ SV361 @ SV413 )
| ( in @ SV361 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK148_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3104]) ).
thf(3433,plain,
! [SV1: $i,SV298: $i] :
( ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY433: $i] :
( ~ ( in @ SY433 @ ( sK148_SY8 @ SV1 ) )
| ( SV298 = SY433 )
| ( in @ SV298 @ SY433 ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3105]) ).
thf(3434,plain,
! [SV1: $i,SV299: $i,SV234: $i] :
( ( ( in @ SV234 @ SV299 )
= $false )
| ( ( in @ SV234 @ SV1 )
= $true )
| ( ( in @ SV299 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK149_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3106]) ).
thf(3435,plain,
! [SV362: $i,SV1: $i,SV414: $i] :
( ( ( in @ SV414 @ SV1 )
= $false )
| ( ( ~ ( in @ SV362 @ SV414 )
| ( in @ SV362 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK149_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3107]) ).
thf(3436,plain,
! [SV1: $i,SV300: $i] :
( ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY434: $i] :
( ~ ( in @ SY434 @ ( sK149_SY8 @ SV1 ) )
| ( SV300 = SY434 )
| ( in @ SV300 @ SY434 ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3108]) ).
thf(3437,plain,
! [SV1: $i,SV363: $i,SV301: $i] :
( ( ( ~ ( in @ SV301 @ SV363 ) )
= $true )
| ( ( in @ SV301 @ SV1 )
= $true )
| ( ( in @ SV363 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK172_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3109]) ).
thf(3438,plain,
! [SV415: $i,SV1: $i,SV469: $i] :
( ( ( ~ ( in @ SV469 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV415 @ SV469 )
| ( in @ SV415 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK172_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3110]) ).
thf(3439,plain,
! [SV1: $i,SV364: $i] :
( ( ( ~ ( in @ SV364 @ ( sK172_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY507: $i] :
( ~ ( in @ SY507 @ ( sK172_SY8 @ SV1 ) )
| ( SV364 = SY507 )
| ( in @ SV364 @ SY507 ) ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3111]) ).
thf(3440,plain,
! [SV1: $i,SV365: $i,SV302: $i] :
( ( ( ~ ( in @ SV302 @ SV365 ) )
= $true )
| ( ( in @ SV302 @ SV1 )
= $true )
| ( ( in @ SV365 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK173_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3112]) ).
thf(3441,plain,
! [SV416: $i,SV1: $i,SV470: $i] :
( ( ( ~ ( in @ SV470 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV416 @ SV470 )
| ( in @ SV416 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK173_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3113]) ).
thf(3442,plain,
! [SV1: $i,SV366: $i] :
( ( ( ~ ( in @ SV366 @ ( sK173_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY508: $i] :
( ~ ( in @ SY508 @ ( sK173_SY8 @ SV1 ) )
| ( SV366 = SY508 )
| ( in @ SV366 @ SY508 ) ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3114]) ).
thf(3443,plain,
! [SV1: $i,SV367: $i,SV303: $i] :
( ( ( ~ ( in @ SV303 @ SV367 ) )
= $true )
| ( ( in @ SV303 @ SV1 )
= $true )
| ( ( in @ SV367 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK174_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3115]) ).
thf(3444,plain,
! [SV417: $i,SV1: $i,SV471: $i] :
( ( ( ~ ( in @ SV471 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV417 @ SV471 )
| ( in @ SV417 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK174_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3116]) ).
thf(3445,plain,
! [SV1: $i,SV368: $i] :
( ( ( ~ ( in @ SV368 @ ( sK174_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY509: $i] :
( ~ ( in @ SY509 @ ( sK174_SY8 @ SV1 ) )
| ( SV368 = SY509 )
| ( in @ SV368 @ SY509 ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3117]) ).
thf(3446,plain,
! [SV1: $i,SV369: $i,SV304: $i] :
( ( ( ~ ( in @ SV304 @ SV369 ) )
= $true )
| ( ( in @ SV304 @ SV1 )
= $true )
| ( ( in @ SV369 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK175_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3118]) ).
thf(3447,plain,
! [SV418: $i,SV1: $i,SV472: $i] :
( ( ( ~ ( in @ SV472 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV418 @ SV472 )
| ( in @ SV418 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK175_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3119]) ).
thf(3448,plain,
! [SV1: $i,SV370: $i] :
( ( ( ~ ( in @ SV370 @ ( sK175_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY510: $i] :
( ~ ( in @ SY510 @ ( sK175_SY8 @ SV1 ) )
| ( SV370 = SY510 )
| ( in @ SV370 @ SY510 ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3120]) ).
thf(3449,plain,
! [SV1: $i,SV305: $i,SV235: $i] :
( ( ( in @ SV235 @ SV305 )
= $false )
| ( ( in @ SV235 @ SV1 )
= $true )
| ( ( in @ SV305 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK150_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3121]) ).
thf(3450,plain,
! [SV371: $i,SV1: $i,SV419: $i] :
( ( ( in @ SV419 @ SV1 )
= $false )
| ( ( ~ ( in @ SV371 @ SV419 )
| ( in @ SV371 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ( sK150_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3122]) ).
thf(3451,plain,
! [SV1: $i,SV306: $i] :
( ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY439: $i] :
( ~ ( in @ SY439 @ ( sK150_SY8 @ SV1 ) )
| ( SV306 = SY439 )
| ( in @ SV306 @ SY439 ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3123]) ).
thf(3452,plain,
! [SV1: $i,SV307: $i,SV236: $i] :
( ( ( in @ SV236 @ SV307 )
= $false )
| ( ( in @ SV236 @ SV1 )
= $true )
| ( ( in @ SV307 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK151_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3124]) ).
thf(3453,plain,
! [SV372: $i,SV1: $i,SV420: $i] :
( ( ( in @ SV420 @ SV1 )
= $false )
| ( ( ~ ( in @ SV372 @ SV420 )
| ( in @ SV372 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ( sK151_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3125]) ).
thf(3454,plain,
! [SV1: $i,SV308: $i] :
( ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY440: $i] :
( ~ ( in @ SY440 @ ( sK151_SY8 @ SV1 ) )
| ( SV308 = SY440 )
| ( in @ SV308 @ SY440 ) ) )
= $true )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3126]) ).
thf(3455,plain,
! [SV18: $i,SV421: $i,SV1: $i,SV473: $i] :
( ( ( ~ ( in @ SV473 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV421 @ SV473 )
| ( in @ SV421 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK184_SY93 @ SV18 @ SV1 ) @ ( sK40_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3127]) ).
thf(3456,plain,
! [SV18: $i,SV422: $i,SV1: $i,SV474: $i] :
( ( ( ~ ( in @ SV474 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV422 @ SV474 )
| ( in @ SV422 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( SV18
= ( sK184_SY93 @ SV18 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3128]) ).
thf(3457,plain,
! [SV18: $i,SV423: $i,SV1: $i,SV475: $i] :
( ( ( ~ ( in @ SV475 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV423 @ SV475 )
| ( in @ SV423 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV18 @ ( sK184_SY93 @ SV18 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3129]) ).
thf(3458,plain,
! [SV20: $i,SV424: $i,SV1: $i,SV476: $i] :
( ( ( ~ ( in @ SV476 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV424 @ SV476 )
| ( in @ SV424 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK185_SY94 @ SV20 @ SV1 ) @ ( sK41_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3130]) ).
thf(3459,plain,
! [SV20: $i,SV425: $i,SV1: $i,SV477: $i] :
( ( ( ~ ( in @ SV477 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV425 @ SV477 )
| ( in @ SV425 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( SV20
= ( sK185_SY94 @ SV20 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3131]) ).
thf(3460,plain,
! [SV20: $i,SV426: $i,SV1: $i,SV478: $i] :
( ( ( ~ ( in @ SV478 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV426 @ SV478 )
| ( in @ SV426 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV20 @ ( sK185_SY94 @ SV20 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3132]) ).
thf(3461,plain,
! [SV44: $i,SV541: $i,SV1: $i] :
( ( ( ! [SY605: $i] :
( ~ ( in @ SY605 @ SV1 )
| ~ ( in @ SV541 @ SY605 )
| ( in @ SV541 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK220_SY161 @ SV44 @ SV1 ) @ ( sK60_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3133]) ).
thf(3462,plain,
! [SV44: $i,SV542: $i,SV1: $i] :
( ( ( ! [SY606: $i] :
( ~ ( in @ SY606 @ SV1 )
| ~ ( in @ SV542 @ SY606 )
| ( in @ SV542 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( SV44
= ( sK220_SY161 @ SV44 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3134]) ).
thf(3463,plain,
! [SV44: $i,SV543: $i,SV1: $i] :
( ( ( ! [SY607: $i] :
( ~ ( in @ SY607 @ SV1 )
| ~ ( in @ SV543 @ SY607 )
| ( in @ SV543 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV44 @ ( sK220_SY161 @ SV44 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3135]) ).
thf(3464,plain,
! [SV46: $i,SV544: $i,SV1: $i] :
( ( ( ! [SY608: $i] :
( ~ ( in @ SY608 @ SV1 )
| ~ ( in @ SV544 @ SY608 )
| ( in @ SV544 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK221_SY162 @ SV46 @ SV1 ) @ ( sK61_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3136]) ).
thf(3465,plain,
! [SV46: $i,SV545: $i,SV1: $i] :
( ( ( ! [SY609: $i] :
( ~ ( in @ SY609 @ SV1 )
| ~ ( in @ SV545 @ SY609 )
| ( in @ SV545 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( SV46
= ( sK221_SY162 @ SV46 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3137]) ).
thf(3466,plain,
! [SV46: $i,SV546: $i,SV1: $i] :
( ( ( ! [SY610: $i] :
( ~ ( in @ SY610 @ SV1 )
| ~ ( in @ SV546 @ SY610 )
| ( in @ SV546 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV46 @ ( sK221_SY162 @ SV46 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3138]) ).
thf(3467,plain,
! [SV1: $i,SV80: $i] :
( ( ( in @ ( sK232_SY215 @ SV80 @ SV1 ) @ ( sK84_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3139]) ).
thf(3468,plain,
! [SV1: $i,SV80: $i] :
( ( ( SV80
= ( sK232_SY215 @ SV80 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3140]) ).
thf(3469,plain,
! [SV1: $i,SV80: $i] :
( ( ( in @ SV80 @ ( sK232_SY215 @ SV80 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3140]) ).
thf(3470,plain,
! [SV1: $i,SV82: $i] :
( ( ( in @ ( sK233_SY216 @ SV82 @ SV1 ) @ ( sK85_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3141]) ).
thf(3471,plain,
! [SV1: $i,SV82: $i] :
( ( ( SV82
= ( sK233_SY216 @ SV82 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3142]) ).
thf(3472,plain,
! [SV1: $i,SV82: $i] :
( ( ( in @ SV82 @ ( sK233_SY216 @ SV82 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3142]) ).
thf(3473,plain,
! [SV1: $i,SV84: $i] :
( ( ( in @ ( sK234_SY217 @ SV84 @ SV1 ) @ ( sK86_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3143]) ).
thf(3474,plain,
! [SV1: $i,SV84: $i] :
( ( ( SV84
= ( sK234_SY217 @ SV84 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3144]) ).
thf(3475,plain,
! [SV1: $i,SV84: $i] :
( ( ( in @ SV84 @ ( sK234_SY217 @ SV84 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3144]) ).
thf(3476,plain,
! [SV1: $i,SV86: $i] :
( ( ( in @ ( sK235_SY218 @ SV86 @ SV1 ) @ ( sK87_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3145]) ).
thf(3477,plain,
! [SV1: $i,SV86: $i] :
( ( ( SV86
= ( sK235_SY218 @ SV86 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3146]) ).
thf(3478,plain,
! [SV1: $i,SV86: $i] :
( ( ( in @ SV86 @ ( sK235_SY218 @ SV86 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3146]) ).
thf(3479,plain,
! [SV52: $i,SV547: $i,SV1: $i] :
( ( ( ! [SY611: $i] :
( ~ ( in @ SY611 @ SV1 )
| ~ ( in @ SV547 @ SY611 )
| ( in @ SV547 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK222_SY167 @ SV52 @ SV1 ) @ ( sK62_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3147]) ).
thf(3480,plain,
! [SV52: $i,SV548: $i,SV1: $i] :
( ( ( ! [SY612: $i] :
( ~ ( in @ SY612 @ SV1 )
| ~ ( in @ SV548 @ SY612 )
| ( in @ SV548 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( SV52
= ( sK222_SY167 @ SV52 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3148]) ).
thf(3481,plain,
! [SV52: $i,SV549: $i,SV1: $i] :
( ( ( ! [SY613: $i] :
( ~ ( in @ SY613 @ SV1 )
| ~ ( in @ SV549 @ SY613 )
| ( in @ SV549 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK222_SY167 @ SV52 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3149]) ).
thf(3482,plain,
! [SV54: $i,SV550: $i,SV1: $i] :
( ( ( ! [SY614: $i] :
( ~ ( in @ SY614 @ SV1 )
| ~ ( in @ SV550 @ SY614 )
| ( in @ SV550 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK223_SY168 @ SV54 @ SV1 ) @ ( sK63_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3150]) ).
thf(3483,plain,
! [SV54: $i,SV551: $i,SV1: $i] :
( ( ( ! [SY615: $i] :
( ~ ( in @ SY615 @ SV1 )
| ~ ( in @ SV551 @ SY615 )
| ( in @ SV551 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( SV54
= ( sK223_SY168 @ SV54 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3151]) ).
thf(3484,plain,
! [SV54: $i,SV552: $i,SV1: $i] :
( ( ( ! [SY616: $i] :
( ~ ( in @ SY616 @ SV1 )
| ~ ( in @ SV552 @ SY616 )
| ( in @ SV552 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK223_SY168 @ SV54 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3152]) ).
thf(3485,plain,
! [SV56: $i,SV553: $i,SV1: $i] :
( ( ( ! [SY617: $i] :
( ~ ( in @ SY617 @ SV1 )
| ~ ( in @ SV553 @ SY617 )
| ( in @ SV553 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK224_SY169 @ SV56 @ SV1 ) @ ( sK64_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3153]) ).
thf(3486,plain,
! [SV56: $i,SV554: $i,SV1: $i] :
( ( ( ! [SY618: $i] :
( ~ ( in @ SY618 @ SV1 )
| ~ ( in @ SV554 @ SY618 )
| ( in @ SV554 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( SV56
= ( sK224_SY169 @ SV56 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3154]) ).
thf(3487,plain,
! [SV56: $i,SV555: $i,SV1: $i] :
( ( ( ! [SY619: $i] :
( ~ ( in @ SY619 @ SV1 )
| ~ ( in @ SV555 @ SY619 )
| ( in @ SV555 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV56 @ ( sK224_SY169 @ SV56 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3155]) ).
thf(3488,plain,
! [SV58: $i,SV556: $i,SV1: $i] :
( ( ( ! [SY620: $i] :
( ~ ( in @ SY620 @ SV1 )
| ~ ( in @ SV556 @ SY620 )
| ( in @ SV556 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK225_SY170 @ SV58 @ SV1 ) @ ( sK65_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3156]) ).
thf(3489,plain,
! [SV58: $i,SV557: $i,SV1: $i] :
( ( ( ! [SY621: $i] :
( ~ ( in @ SY621 @ SV1 )
| ~ ( in @ SV557 @ SY621 )
| ( in @ SV557 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( SV58
= ( sK225_SY170 @ SV58 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3157]) ).
thf(3490,plain,
! [SV58: $i,SV558: $i,SV1: $i] :
( ( ( ! [SY622: $i] :
( ~ ( in @ SY622 @ SV1 )
| ~ ( in @ SV558 @ SY622 )
| ( in @ SV558 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV58 @ ( sK225_SY170 @ SV58 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3158]) ).
thf(3491,plain,
! [SV1: $i,SV132: $i] :
( ( ( ~ ( in @ ( sK240_SY285 @ SV132 @ SV1 ) @ ( sK100_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3160]) ).
thf(3492,plain,
! [SV1: $i,SV132: $i] :
( ( ( ( SV132
= ( sK240_SY285 @ SV132 @ SV1 ) )
| ( in @ SV132 @ ( sK240_SY285 @ SV132 @ SV1 ) ) )
= $false )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3160]) ).
thf(3493,plain,
! [SV1: $i,SV134: $i] :
( ( ( ~ ( in @ ( sK241_SY286 @ SV134 @ SV1 ) @ ( sK101_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3162]) ).
thf(3494,plain,
! [SV1: $i,SV134: $i] :
( ( ( ( SV134
= ( sK241_SY286 @ SV134 @ SV1 ) )
| ( in @ SV134 @ ( sK241_SY286 @ SV134 @ SV1 ) ) )
= $false )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3162]) ).
thf(3495,plain,
! [SV1: $i,SV309: $i,SV239: $i] :
( ( ( in @ SV239 @ SV309 )
= $false )
| ( ( in @ SV239 @ SV1 )
= $true )
| ( ( in @ SV309 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK120_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3163]) ).
thf(3496,plain,
! [SV1: $i,SV188: $i] :
( ( ( ~ ( in @ ( sK256_SY331 @ SV188 @ SV1 ) @ ( sK120_SY8 @ SV1 ) )
| ( SV188
= ( sK256_SY331 @ SV188 @ SV1 ) )
| ( in @ SV188 @ ( sK256_SY331 @ SV188 @ SV1 ) ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3164]) ).
thf(3497,plain,
! [SV1: $i,SV310: $i,SV240: $i] :
( ( ( in @ SV240 @ SV310 )
= $false )
| ( ( in @ SV240 @ SV1 )
= $true )
| ( ( in @ SV310 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK121_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3165]) ).
thf(3498,plain,
! [SV1: $i,SV190: $i] :
( ( ( ~ ( in @ ( sK257_SY332 @ SV190 @ SV1 ) @ ( sK121_SY8 @ SV1 ) )
| ( SV190
= ( sK257_SY332 @ SV190 @ SV1 ) )
| ( in @ SV190 @ ( sK257_SY332 @ SV190 @ SV1 ) ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3166]) ).
thf(3499,plain,
! [SV1: $i,SV311: $i,SV241: $i] :
( ( ( in @ SV241 @ SV311 )
= $false )
| ( ( in @ SV241 @ SV1 )
= $true )
| ( ( in @ SV311 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK122_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3167]) ).
thf(3500,plain,
! [SV1: $i,SV192: $i] :
( ( ( ~ ( in @ ( sK258_SY333 @ SV192 @ SV1 ) @ ( sK122_SY8 @ SV1 ) )
| ( SV192
= ( sK258_SY333 @ SV192 @ SV1 ) )
| ( in @ SV192 @ ( sK258_SY333 @ SV192 @ SV1 ) ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3168]) ).
thf(3501,plain,
! [SV1: $i,SV312: $i,SV242: $i] :
( ( ( in @ SV242 @ SV312 )
= $false )
| ( ( in @ SV242 @ SV1 )
= $true )
| ( ( in @ SV312 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( ( sK123_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3169]) ).
thf(3502,plain,
! [SV1: $i,SV194: $i] :
( ( ( ~ ( in @ ( sK259_SY334 @ SV194 @ SV1 ) @ ( sK123_SY8 @ SV1 ) )
| ( SV194
= ( sK259_SY334 @ SV194 @ SV1 ) )
| ( in @ SV194 @ ( sK259_SY334 @ SV194 @ SV1 ) ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3170]) ).
thf(3503,plain,
! [SV1: $i,SV140: $i] :
( ( ( ~ ( in @ ( sK242_SY291 @ SV140 @ SV1 ) @ ( sK102_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3172]) ).
thf(3504,plain,
! [SV1: $i,SV140: $i] :
( ( ( ( SV140
= ( sK242_SY291 @ SV140 @ SV1 ) )
| ( in @ SV140 @ ( sK242_SY291 @ SV140 @ SV1 ) ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3172]) ).
thf(3505,plain,
! [SV1: $i,SV142: $i] :
( ( ( ~ ( in @ ( sK243_SY292 @ SV142 @ SV1 ) @ ( sK103_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3174]) ).
thf(3506,plain,
! [SV1: $i,SV142: $i] :
( ( ( ( SV142
= ( sK243_SY292 @ SV142 @ SV1 ) )
| ( in @ SV142 @ ( sK243_SY292 @ SV142 @ SV1 ) ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3174]) ).
thf(3507,plain,
! [SV1: $i,SV144: $i] :
( ( ( ~ ( in @ ( sK244_SY293 @ SV144 @ SV1 ) @ ( sK104_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3176]) ).
thf(3508,plain,
! [SV1: $i,SV144: $i] :
( ( ( ( SV144
= ( sK244_SY293 @ SV144 @ SV1 ) )
| ( in @ SV144 @ ( sK244_SY293 @ SV144 @ SV1 ) ) )
= $false )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3176]) ).
thf(3509,plain,
! [SV1: $i,SV146: $i] :
( ( ( ~ ( in @ ( sK245_SY294 @ SV146 @ SV1 ) @ ( sK105_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3178]) ).
thf(3510,plain,
! [SV1: $i,SV146: $i] :
( ( ( ( SV146
= ( sK245_SY294 @ SV146 @ SV1 ) )
| ( in @ SV146 @ ( sK245_SY294 @ SV146 @ SV1 ) ) )
= $false )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3178]) ).
thf(3511,plain,
! [SV1: $i,SV373: $i,SV313: $i] :
( ( ( ~ ( in @ SV313 @ SV373 ) )
= $true )
| ( ( in @ SV313 @ SV1 )
= $true )
| ( ( in @ SV373 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK128_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3180]) ).
thf(3512,plain,
! [SV248: $i,SV1: $i] :
( ( ( ! [SY373: $i] :
( ~ ( in @ SY373 @ ( sK128_SY8 @ SV1 ) )
| ( SV248 = SY373 )
| ( in @ SV248 @ SY373 ) ) )
= $false )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3181]) ).
thf(3513,plain,
! [SV1: $i,SV374: $i,SV314: $i] :
( ( ( ~ ( in @ SV314 @ SV374 ) )
= $true )
| ( ( in @ SV314 @ SV1 )
= $true )
| ( ( in @ SV374 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK129_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3183]) ).
thf(3514,plain,
! [SV250: $i,SV1: $i] :
( ( ( ! [SY374: $i] :
( ~ ( in @ SY374 @ ( sK129_SY8 @ SV1 ) )
| ( SV250 = SY374 )
| ( in @ SV250 @ SY374 ) ) )
= $false )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3184]) ).
thf(3515,plain,
! [SV1: $i,SV315: $i,SV251: $i] :
( ( ( in @ SV251 @ SV315 )
= $false )
| ( ( in @ SV251 @ SV1 )
= $true )
| ( ( in @ SV315 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK152_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3185]) ).
thf(3516,plain,
! [SV375: $i,SV1: $i,SV427: $i] :
( ( ( in @ SV427 @ SV1 )
= $false )
| ( ( ~ ( in @ SV375 @ SV427 )
| ( in @ SV375 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK152_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3186]) ).
thf(3517,plain,
! [SV1: $i,SV316: $i] :
( ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY443: $i] :
( ~ ( in @ SY443 @ ( sK152_SY8 @ SV1 ) )
| ( SV316 = SY443 )
| ( in @ SV316 @ SY443 ) ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3187]) ).
thf(3518,plain,
! [SV1: $i,SV317: $i,SV252: $i] :
( ( ( in @ SV252 @ SV317 )
= $false )
| ( ( in @ SV252 @ SV1 )
= $true )
| ( ( in @ SV317 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK153_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3188]) ).
thf(3519,plain,
! [SV376: $i,SV1: $i,SV428: $i] :
( ( ( in @ SV428 @ SV1 )
= $false )
| ( ( ~ ( in @ SV376 @ SV428 )
| ( in @ SV376 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK153_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3189]) ).
thf(3520,plain,
! [SV1: $i,SV318: $i] :
( ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY444: $i] :
( ~ ( in @ SY444 @ ( sK153_SY8 @ SV1 ) )
| ( SV318 = SY444 )
| ( in @ SV318 @ SY444 ) ) )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3190]) ).
thf(3521,plain,
! [SV1: $i,SV319: $i,SV253: $i] :
( ( ( in @ SV253 @ SV319 )
= $false )
| ( ( in @ SV253 @ SV1 )
= $true )
| ( ( in @ SV319 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK154_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3191]) ).
thf(3522,plain,
! [SV377: $i,SV1: $i,SV429: $i] :
( ( ( in @ SV429 @ SV1 )
= $false )
| ( ( ~ ( in @ SV377 @ SV429 )
| ( in @ SV377 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK154_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3192]) ).
thf(3523,plain,
! [SV1: $i,SV320: $i] :
( ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY445: $i] :
( ~ ( in @ SY445 @ ( sK154_SY8 @ SV1 ) )
| ( SV320 = SY445 )
| ( in @ SV320 @ SY445 ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3193]) ).
thf(3524,plain,
! [SV1: $i,SV321: $i,SV254: $i] :
( ( ( in @ SV254 @ SV321 )
= $false )
| ( ( in @ SV254 @ SV1 )
= $true )
| ( ( in @ SV321 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK155_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3194]) ).
thf(3525,plain,
! [SV378: $i,SV1: $i,SV430: $i] :
( ( ( in @ SV430 @ SV1 )
= $false )
| ( ( ~ ( in @ SV378 @ SV430 )
| ( in @ SV378 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK155_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3195]) ).
thf(3526,plain,
! [SV1: $i,SV322: $i] :
( ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY446: $i] :
( ~ ( in @ SY446 @ ( sK155_SY8 @ SV1 ) )
| ( SV322 = SY446 )
| ( in @ SV322 @ SY446 ) ) )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3196]) ).
thf(3527,plain,
! [SV1: $i,SV379: $i,SV323: $i] :
( ( ( ~ ( in @ SV323 @ SV379 ) )
= $true )
| ( ( in @ SV323 @ SV1 )
= $true )
| ( ( in @ SV379 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ( sK130_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3198]) ).
thf(3528,plain,
! [SV256: $i,SV1: $i] :
( ( ( ! [SY379: $i] :
( ~ ( in @ SY379 @ ( sK130_SY8 @ SV1 ) )
| ( SV256 = SY379 )
| ( in @ SV256 @ SY379 ) ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3199]) ).
thf(3529,plain,
! [SV1: $i,SV380: $i,SV324: $i] :
( ( ( ~ ( in @ SV324 @ SV380 ) )
= $true )
| ( ( in @ SV324 @ SV1 )
= $true )
| ( ( in @ SV380 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ( sK131_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3201]) ).
thf(3530,plain,
! [SV258: $i,SV1: $i] :
( ( ( ! [SY380: $i] :
( ~ ( in @ SY380 @ ( sK131_SY8 @ SV1 ) )
| ( SV258 = SY380 )
| ( in @ SV258 @ SY380 ) ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3202]) ).
thf(3531,plain,
! [SV1: $i,SV381: $i,SV325: $i] :
( ( ( ~ ( in @ SV325 @ SV381 ) )
= $true )
| ( ( in @ SV325 @ SV1 )
= $true )
| ( ( in @ SV381 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK176_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3203]) ).
thf(3532,plain,
! [SV431: $i,SV1: $i,SV479: $i] :
( ( ( ~ ( in @ SV479 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV431 @ SV479 )
| ( in @ SV431 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK176_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3204]) ).
thf(3533,plain,
! [SV1: $i,SV382: $i] :
( ( ( ~ ( in @ SV382 @ ( sK176_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY517: $i] :
( ~ ( in @ SY517 @ ( sK176_SY8 @ SV1 ) )
| ( SV382 = SY517 )
| ( in @ SV382 @ SY517 ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3205]) ).
thf(3534,plain,
! [SV1: $i,SV383: $i,SV326: $i] :
( ( ( ~ ( in @ SV326 @ SV383 ) )
= $true )
| ( ( in @ SV326 @ SV1 )
= $true )
| ( ( in @ SV383 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK177_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3206]) ).
thf(3535,plain,
! [SV432: $i,SV1: $i,SV480: $i] :
( ( ( ~ ( in @ SV480 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV432 @ SV480 )
| ( in @ SV432 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK177_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3207]) ).
thf(3536,plain,
! [SV1: $i,SV384: $i] :
( ( ( ~ ( in @ SV384 @ ( sK177_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY518: $i] :
( ~ ( in @ SY518 @ ( sK177_SY8 @ SV1 ) )
| ( SV384 = SY518 )
| ( in @ SV384 @ SY518 ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3208]) ).
thf(3537,plain,
! [SV433: $i,SV1: $i,SV481: $i] :
( ( ( ~ ( in @ SV481 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV433 @ SV481 )
| ( in @ SV433 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK186_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3209]) ).
thf(3538,plain,
! [SV559: $i,SV1: $i] :
( ( ( ! [SY623: $i] :
( ~ ( in @ SY623 @ SV1 )
| ~ ( in @ SV559 @ SY623 )
| ( in @ SV559 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK186_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3210]) ).
thf(3539,plain,
! [SV1: $i,SV482: $i] :
( ( ( ~ ( ~ ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
| ~ ! [SY573: $i] :
( ~ ( in @ SY573 @ ( sK186_SY8 @ SV1 ) )
| ( SV482 = SY573 )
| ( in @ SV482 @ SY573 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3211]) ).
thf(3540,plain,
! [SV434: $i,SV1: $i,SV483: $i] :
( ( ( ~ ( in @ SV483 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV434 @ SV483 )
| ( in @ SV434 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK187_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3212]) ).
thf(3541,plain,
! [SV560: $i,SV1: $i] :
( ( ( ! [SY624: $i] :
( ~ ( in @ SY624 @ SV1 )
| ~ ( in @ SV560 @ SY624 )
| ( in @ SV560 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK187_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3213]) ).
thf(3542,plain,
! [SV1: $i,SV484: $i] :
( ( ( ~ ( ~ ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
| ~ ! [SY574: $i] :
( ~ ( in @ SY574 @ ( sK187_SY8 @ SV1 ) )
| ( SV484 = SY574 )
| ( in @ SV484 @ SY574 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3214]) ).
thf(3543,plain,
! [SV485: $i,SV1: $i,SV561: $i] :
( ( ( ~ ( in @ SV561 @ SV1 )
| ~ ( in @ SV485 @ SV561 )
| ( in @ SV485 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK204_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3215]) ).
thf(3544,plain,
! [SV1: $i] :
( ( ( ( sK204_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3216]) ).
thf(3545,plain,
! [SV1: $i,SV562: $i] :
( ( ( ~ ~ ( ~ ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
| ~ ! [SY625: $i] :
( ~ ( in @ SY625 @ ( sK204_SY8 @ SV1 ) )
| ( SV562 = SY625 )
| ( in @ SV562 @ SY625 ) ) ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3217]) ).
thf(3546,plain,
! [SV486: $i,SV1: $i,SV563: $i] :
( ( ( ~ ( in @ SV563 @ SV1 )
| ~ ( in @ SV486 @ SV563 )
| ( in @ SV486 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK205_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3218]) ).
thf(3547,plain,
! [SV1: $i] :
( ( ( ( sK205_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3219]) ).
thf(3548,plain,
! [SV1: $i,SV564: $i] :
( ( ( ~ ~ ( ~ ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
| ~ ! [SY626: $i] :
( ~ ( in @ SY626 @ ( sK205_SY8 @ SV1 ) )
| ( SV564 = SY626 )
| ( in @ SV564 @ SY626 ) ) ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3220]) ).
thf(3549,plain,
! [SV487: $i,SV1: $i,SV565: $i] :
( ( ( ~ ( in @ SV565 @ SV1 )
| ~ ( in @ SV487 @ SV565 )
| ( in @ SV487 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK206_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3221]) ).
thf(3550,plain,
! [SV1: $i] :
( ( ( ( sK206_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3222]) ).
thf(3551,plain,
! [SV1: $i,SV566: $i] :
( ( ( ~ ~ ( ~ ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
| ~ ! [SY627: $i] :
( ~ ( in @ SY627 @ ( sK206_SY8 @ SV1 ) )
| ( SV566 = SY627 )
| ( in @ SV566 @ SY627 ) ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3223]) ).
thf(3552,plain,
! [SV488: $i,SV1: $i,SV567: $i] :
( ( ( ~ ( in @ SV567 @ SV1 )
| ~ ( in @ SV488 @ SV567 )
| ( in @ SV488 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK207_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3224]) ).
thf(3553,plain,
! [SV1: $i] :
( ( ( ( sK207_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3225]) ).
thf(3554,plain,
! [SV1: $i,SV568: $i] :
( ( ( ~ ~ ( ~ ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
| ~ ! [SY628: $i] :
( ~ ( in @ SY628 @ ( sK207_SY8 @ SV1 ) )
| ( SV568 = SY628 )
| ( in @ SV568 @ SY628 ) ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3226]) ).
thf(3555,plain,
! [SV435: $i,SV1: $i,SV489: $i] :
( ( ( ~ ( in @ SV489 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV435 @ SV489 )
| ( in @ SV435 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK188_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3227]) ).
thf(3556,plain,
! [SV569: $i,SV1: $i] :
( ( ( ! [SY629: $i] :
( ~ ( in @ SY629 @ SV1 )
| ~ ( in @ SV569 @ SY629 )
| ( in @ SV569 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ( sK188_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3228]) ).
thf(3557,plain,
! [SV1: $i,SV490: $i] :
( ( ( ~ ( ~ ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
| ~ ! [SY579: $i] :
( ~ ( in @ SY579 @ ( sK188_SY8 @ SV1 ) )
| ( SV490 = SY579 )
| ( in @ SV490 @ SY579 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3229]) ).
thf(3558,plain,
! [SV436: $i,SV1: $i,SV491: $i] :
( ( ( ~ ( in @ SV491 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV436 @ SV491 )
| ( in @ SV436 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK189_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3230]) ).
thf(3559,plain,
! [SV570: $i,SV1: $i] :
( ( ( ! [SY630: $i] :
( ~ ( in @ SY630 @ SV1 )
| ~ ( in @ SV570 @ SY630 )
| ( in @ SV570 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ( sK189_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3231]) ).
thf(3560,plain,
! [SV1: $i,SV492: $i] :
( ( ( ~ ( ~ ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
| ~ ! [SY580: $i] :
( ~ ( in @ SY580 @ ( sK189_SY8 @ SV1 ) )
| ( SV492 = SY580 )
| ( in @ SV492 @ SY580 ) ) ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3232]) ).
thf(3561,plain,
! [SV1: $i,SV385: $i,SV327: $i] :
( ( ( ~ ( in @ SV327 @ SV385 ) )
= $true )
| ( ( in @ SV327 @ SV1 )
= $true )
| ( ( in @ SV385 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK178_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3233]) ).
thf(3562,plain,
! [SV437: $i,SV1: $i,SV493: $i] :
( ( ( ~ ( in @ SV493 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV437 @ SV493 )
| ( in @ SV437 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK178_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3234]) ).
thf(3563,plain,
! [SV1: $i,SV386: $i] :
( ( ( ~ ( in @ SV386 @ ( sK178_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY519: $i] :
( ~ ( in @ SY519 @ ( sK178_SY8 @ SV1 ) )
| ( SV386 = SY519 )
| ( in @ SV386 @ SY519 ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3235]) ).
thf(3564,plain,
! [SV1: $i,SV387: $i,SV328: $i] :
( ( ( ~ ( in @ SV328 @ SV387 ) )
= $true )
| ( ( in @ SV328 @ SV1 )
= $true )
| ( ( in @ SV387 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK179_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3236]) ).
thf(3565,plain,
! [SV438: $i,SV1: $i,SV494: $i] :
( ( ( ~ ( in @ SV494 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV438 @ SV494 )
| ( in @ SV438 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK179_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3237]) ).
thf(3566,plain,
! [SV1: $i,SV388: $i] :
( ( ( ~ ( in @ SV388 @ ( sK179_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY520: $i] :
( ~ ( in @ SY520 @ ( sK179_SY8 @ SV1 ) )
| ( SV388 = SY520 )
| ( in @ SV388 @ SY520 ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3238]) ).
thf(3567,plain,
! [SV439: $i,SV1: $i,SV495: $i] :
( ( ( ~ ( in @ SV495 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV439 @ SV495 )
| ( in @ SV439 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK190_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3239]) ).
thf(3568,plain,
! [SV571: $i,SV1: $i] :
( ( ( ! [SY631: $i] :
( ~ ( in @ SY631 @ SV1 )
| ~ ( in @ SV571 @ SY631 )
| ( in @ SV571 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK190_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3240]) ).
thf(3569,plain,
! [SV1: $i,SV496: $i] :
( ( ( ~ ( ~ ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
| ~ ! [SY581: $i] :
( ~ ( in @ SY581 @ ( sK190_SY8 @ SV1 ) )
| ( SV496 = SY581 )
| ( in @ SV496 @ SY581 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3241]) ).
thf(3570,plain,
! [SV440: $i,SV1: $i,SV497: $i] :
( ( ( ~ ( in @ SV497 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV440 @ SV497 )
| ( in @ SV440 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK191_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3242]) ).
thf(3571,plain,
! [SV572: $i,SV1: $i] :
( ( ( ! [SY632: $i] :
( ~ ( in @ SY632 @ SV1 )
| ~ ( in @ SV572 @ SY632 )
| ( in @ SV572 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK191_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3243]) ).
thf(3572,plain,
! [SV1: $i,SV498: $i] :
( ( ( ~ ( ~ ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
| ~ ! [SY582: $i] :
( ~ ( in @ SY582 @ ( sK191_SY8 @ SV1 ) )
| ( SV498 = SY582 )
| ( in @ SV498 @ SY582 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3244]) ).
thf(3573,plain,
! [SV499: $i,SV1: $i,SV573: $i] :
( ( ( ~ ( in @ SV573 @ SV1 )
| ~ ( in @ SV499 @ SV573 )
| ( in @ SV499 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK208_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3245]) ).
thf(3574,plain,
! [SV1: $i] :
( ( ( ( sK208_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3246]) ).
thf(3575,plain,
! [SV1: $i,SV574: $i] :
( ( ( ~ ~ ( ~ ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
| ~ ! [SY633: $i] :
( ~ ( in @ SY633 @ ( sK208_SY8 @ SV1 ) )
| ( SV574 = SY633 )
| ( in @ SV574 @ SY633 ) ) ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3247]) ).
thf(3576,plain,
! [SV500: $i,SV1: $i,SV575: $i] :
( ( ( ~ ( in @ SV575 @ SV1 )
| ~ ( in @ SV500 @ SV575 )
| ( in @ SV500 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK209_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3248]) ).
thf(3577,plain,
! [SV1: $i] :
( ( ( ( sK209_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3249]) ).
thf(3578,plain,
! [SV1: $i,SV576: $i] :
( ( ( ~ ~ ( ~ ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
| ~ ! [SY634: $i] :
( ~ ( in @ SY634 @ ( sK209_SY8 @ SV1 ) )
| ( SV576 = SY634 )
| ( in @ SV576 @ SY634 ) ) ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3250]) ).
thf(3579,plain,
! [SV501: $i,SV1: $i,SV577: $i] :
( ( ( ~ ( in @ SV577 @ SV1 )
| ~ ( in @ SV501 @ SV577 )
| ( in @ SV501 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK210_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3251]) ).
thf(3580,plain,
! [SV1: $i] :
( ( ( ( sK210_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3252]) ).
thf(3581,plain,
! [SV1: $i,SV578: $i] :
( ( ( ~ ~ ( ~ ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
| ~ ! [SY635: $i] :
( ~ ( in @ SY635 @ ( sK210_SY8 @ SV1 ) )
| ( SV578 = SY635 )
| ( in @ SV578 @ SY635 ) ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3253]) ).
thf(3582,plain,
! [SV502: $i,SV1: $i,SV579: $i] :
( ( ( ~ ( in @ SV579 @ SV1 )
| ~ ( in @ SV502 @ SV579 )
| ( in @ SV502 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK211_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3254]) ).
thf(3583,plain,
! [SV1: $i] :
( ( ( ( sK211_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3255]) ).
thf(3584,plain,
! [SV1: $i,SV580: $i] :
( ( ( ~ ~ ( ~ ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
| ~ ! [SY636: $i] :
( ~ ( in @ SY636 @ ( sK211_SY8 @ SV1 ) )
| ( SV580 = SY636 )
| ( in @ SV580 @ SY636 ) ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3256]) ).
thf(3585,plain,
! [SV441: $i,SV1: $i,SV503: $i] :
( ( ( ~ ( in @ SV503 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV441 @ SV503 )
| ( in @ SV441 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK192_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3257]) ).
thf(3586,plain,
! [SV581: $i,SV1: $i] :
( ( ( ! [SY637: $i] :
( ~ ( in @ SY637 @ SV1 )
| ~ ( in @ SV581 @ SY637 )
| ( in @ SV581 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ( sK192_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3258]) ).
thf(3587,plain,
! [SV1: $i,SV504: $i] :
( ( ( ~ ( ~ ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
| ~ ! [SY587: $i] :
( ~ ( in @ SY587 @ ( sK192_SY8 @ SV1 ) )
| ( SV504 = SY587 )
| ( in @ SV504 @ SY587 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3259]) ).
thf(3588,plain,
! [SV442: $i,SV1: $i,SV505: $i] :
( ( ( ~ ( in @ SV505 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV442 @ SV505 )
| ( in @ SV442 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK193_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3260]) ).
thf(3589,plain,
! [SV582: $i,SV1: $i] :
( ( ( ! [SY638: $i] :
( ~ ( in @ SY638 @ SV1 )
| ~ ( in @ SV582 @ SY638 )
| ( in @ SV582 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ( sK193_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3261]) ).
thf(3590,plain,
! [SV1: $i,SV506: $i] :
( ( ( ~ ( ~ ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
| ~ ! [SY588: $i] :
( ~ ( in @ SY588 @ ( sK193_SY8 @ SV1 ) )
| ( SV506 = SY588 )
| ( in @ SV506 @ SY588 ) ) ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3262]) ).
thf(3591,plain,
! [SV1: $i,SV148: $i] :
( ( ( ~ ( in @ ( sK246_SY303 @ SV148 @ SV1 ) @ ( sK108_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3264]) ).
thf(3592,plain,
! [SV1: $i,SV148: $i] :
( ( ( ( SV148
= ( sK246_SY303 @ SV148 @ SV1 ) )
| ( in @ SV148 @ ( sK246_SY303 @ SV148 @ SV1 ) ) )
= $false )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3264]) ).
thf(3593,plain,
! [SV1: $i,SV150: $i] :
( ( ( ~ ( in @ ( sK247_SY304 @ SV150 @ SV1 ) @ ( sK109_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3266]) ).
thf(3594,plain,
! [SV1: $i,SV150: $i] :
( ( ( ( SV150
= ( sK247_SY304 @ SV150 @ SV1 ) )
| ( in @ SV150 @ ( sK247_SY304 @ SV150 @ SV1 ) ) )
= $false )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3266]) ).
thf(3595,plain,
! [SV1: $i,SV389: $i,SV329: $i] :
( ( ( ~ ( in @ SV329 @ SV389 ) )
= $true )
| ( ( in @ SV329 @ SV1 )
= $true )
| ( ( in @ SV389 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK136_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3268]) ).
thf(3596,plain,
! [SV262: $i,SV1: $i] :
( ( ( ! [SY397: $i] :
( ~ ( in @ SY397 @ ( sK136_SY8 @ SV1 ) )
| ( SV262 = SY397 )
| ( in @ SV262 @ SY397 ) ) )
= $false )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3269]) ).
thf(3597,plain,
! [SV1: $i,SV390: $i,SV330: $i] :
( ( ( ~ ( in @ SV330 @ SV390 ) )
= $true )
| ( ( in @ SV330 @ SV1 )
= $true )
| ( ( in @ SV390 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK137_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3271]) ).
thf(3598,plain,
! [SV264: $i,SV1: $i] :
( ( ( ! [SY398: $i] :
( ~ ( in @ SY398 @ ( sK137_SY8 @ SV1 ) )
| ( SV264 = SY398 )
| ( in @ SV264 @ SY398 ) ) )
= $false )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3272]) ).
thf(3599,plain,
! [SV1: $i,SV331: $i,SV265: $i] :
( ( ( in @ SV265 @ SV331 )
= $false )
| ( ( in @ SV265 @ SV1 )
= $true )
| ( ( in @ SV331 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK160_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3273]) ).
thf(3600,plain,
! [SV391: $i,SV1: $i,SV443: $i] :
( ( ( in @ SV443 @ SV1 )
= $false )
| ( ( ~ ( in @ SV391 @ SV443 )
| ( in @ SV391 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK160_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3274]) ).
thf(3601,plain,
! [SV1: $i,SV332: $i] :
( ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY471: $i] :
( ~ ( in @ SY471 @ ( sK160_SY8 @ SV1 ) )
| ( SV332 = SY471 )
| ( in @ SV332 @ SY471 ) ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3275]) ).
thf(3602,plain,
! [SV1: $i,SV333: $i,SV266: $i] :
( ( ( in @ SV266 @ SV333 )
= $false )
| ( ( in @ SV266 @ SV1 )
= $true )
| ( ( in @ SV333 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK161_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3276]) ).
thf(3603,plain,
! [SV392: $i,SV1: $i,SV444: $i] :
( ( ( in @ SV444 @ SV1 )
= $false )
| ( ( ~ ( in @ SV392 @ SV444 )
| ( in @ SV392 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK161_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3277]) ).
thf(3604,plain,
! [SV1: $i,SV334: $i] :
( ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY472: $i] :
( ~ ( in @ SY472 @ ( sK161_SY8 @ SV1 ) )
| ( SV334 = SY472 )
| ( in @ SV334 @ SY472 ) ) )
= $true )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3278]) ).
thf(3605,plain,
! [SV1: $i,SV335: $i,SV267: $i] :
( ( ( in @ SV267 @ SV335 )
= $false )
| ( ( in @ SV267 @ SV1 )
= $true )
| ( ( in @ SV335 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK162_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3279]) ).
thf(3606,plain,
! [SV393: $i,SV1: $i,SV445: $i] :
( ( ( in @ SV445 @ SV1 )
= $false )
| ( ( ~ ( in @ SV393 @ SV445 )
| ( in @ SV393 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK162_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3280]) ).
thf(3607,plain,
! [SV1: $i,SV336: $i] :
( ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY473: $i] :
( ~ ( in @ SY473 @ ( sK162_SY8 @ SV1 ) )
| ( SV336 = SY473 )
| ( in @ SV336 @ SY473 ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3281]) ).
thf(3608,plain,
! [SV1: $i,SV337: $i,SV268: $i] :
( ( ( in @ SV268 @ SV337 )
= $false )
| ( ( in @ SV268 @ SV1 )
= $true )
| ( ( in @ SV337 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK163_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3282]) ).
thf(3609,plain,
! [SV394: $i,SV1: $i,SV446: $i] :
( ( ( in @ SV446 @ SV1 )
= $false )
| ( ( ~ ( in @ SV394 @ SV446 )
| ( in @ SV394 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK163_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3283]) ).
thf(3610,plain,
! [SV1: $i,SV338: $i] :
( ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY474: $i] :
( ~ ( in @ SY474 @ ( sK163_SY8 @ SV1 ) )
| ( SV338 = SY474 )
| ( in @ SV338 @ SY474 ) ) )
= $true )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3284]) ).
thf(3611,plain,
! [SV1: $i,SV395: $i,SV339: $i] :
( ( ( ~ ( in @ SV339 @ SV395 ) )
= $true )
| ( ( in @ SV339 @ SV1 )
= $true )
| ( ( in @ SV395 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ( sK138_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3286]) ).
thf(3612,plain,
! [SV270: $i,SV1: $i] :
( ( ( ! [SY403: $i] :
( ~ ( in @ SY403 @ ( sK138_SY8 @ SV1 ) )
| ( SV270 = SY403 )
| ( in @ SV270 @ SY403 ) ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3287]) ).
thf(3613,plain,
! [SV1: $i,SV396: $i,SV340: $i] :
( ( ( ~ ( in @ SV340 @ SV396 ) )
= $true )
| ( ( in @ SV340 @ SV1 )
= $true )
| ( ( in @ SV396 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ( sK139_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3289]) ).
thf(3614,plain,
! [SV272: $i,SV1: $i] :
( ( ( ! [SY404: $i] :
( ~ ( in @ SY404 @ ( sK139_SY8 @ SV1 ) )
| ( SV272 = SY404 )
| ( in @ SV272 @ SY404 ) ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3290]) ).
thf(3615,plain,
! [SV22: $i,SV447: $i,SV1: $i,SV507: $i] :
( ( ( ~ ( in @ SV507 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV447 @ SV507 )
| ( in @ SV447 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK194_SY111 @ SV22 @ SV1 ) @ ( sK48_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3291]) ).
thf(3616,plain,
! [SV22: $i,SV448: $i,SV1: $i,SV508: $i] :
( ( ( ~ ( in @ SV508 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV448 @ SV508 )
| ( in @ SV448 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( SV22
= ( sK194_SY111 @ SV22 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3292]) ).
thf(3617,plain,
! [SV22: $i,SV449: $i,SV1: $i,SV509: $i] :
( ( ( ~ ( in @ SV509 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV449 @ SV509 )
| ( in @ SV449 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV22 @ ( sK194_SY111 @ SV22 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3293]) ).
thf(3618,plain,
! [SV24: $i,SV450: $i,SV1: $i,SV510: $i] :
( ( ( ~ ( in @ SV510 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV450 @ SV510 )
| ( in @ SV450 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK195_SY112 @ SV24 @ SV1 ) @ ( sK49_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3294]) ).
thf(3619,plain,
! [SV24: $i,SV451: $i,SV1: $i,SV511: $i] :
( ( ( ~ ( in @ SV511 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV451 @ SV511 )
| ( in @ SV451 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( SV24
= ( sK195_SY112 @ SV24 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3295]) ).
thf(3620,plain,
! [SV24: $i,SV452: $i,SV1: $i,SV512: $i] :
( ( ( ~ ( in @ SV512 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV452 @ SV512 )
| ( in @ SV452 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV24 @ ( sK195_SY112 @ SV24 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3296]) ).
thf(3621,plain,
! [SV62: $i,SV583: $i,SV1: $i] :
( ( ( ! [SY639: $i] :
( ~ ( in @ SY639 @ SV1 )
| ~ ( in @ SV583 @ SY639 )
| ( in @ SV583 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK226_SY187 @ SV62 @ SV1 ) @ ( sK72_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3297]) ).
thf(3622,plain,
! [SV62: $i,SV584: $i,SV1: $i] :
( ( ( ! [SY640: $i] :
( ~ ( in @ SY640 @ SV1 )
| ~ ( in @ SV584 @ SY640 )
| ( in @ SV584 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( SV62
= ( sK226_SY187 @ SV62 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3298]) ).
thf(3623,plain,
! [SV62: $i,SV585: $i,SV1: $i] :
( ( ( ! [SY641: $i] :
( ~ ( in @ SY641 @ SV1 )
| ~ ( in @ SV585 @ SY641 )
| ( in @ SV585 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV62 @ ( sK226_SY187 @ SV62 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3299]) ).
thf(3624,plain,
! [SV64: $i,SV586: $i,SV1: $i] :
( ( ( ! [SY642: $i] :
( ~ ( in @ SY642 @ SV1 )
| ~ ( in @ SV586 @ SY642 )
| ( in @ SV586 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK227_SY188 @ SV64 @ SV1 ) @ ( sK73_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3300]) ).
thf(3625,plain,
! [SV64: $i,SV587: $i,SV1: $i] :
( ( ( ! [SY643: $i] :
( ~ ( in @ SY643 @ SV1 )
| ~ ( in @ SV587 @ SY643 )
| ( in @ SV587 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( SV64
= ( sK227_SY188 @ SV64 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3301]) ).
thf(3626,plain,
! [SV64: $i,SV588: $i,SV1: $i] :
( ( ( ! [SY644: $i] :
( ~ ( in @ SY644 @ SV1 )
| ~ ( in @ SV588 @ SY644 )
| ( in @ SV588 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV64 @ ( sK227_SY188 @ SV64 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3302]) ).
thf(3627,plain,
! [SV1: $i,SV102: $i] :
( ( ( in @ ( sK236_SY249 @ SV102 @ SV1 ) @ ( sK92_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3303]) ).
thf(3628,plain,
! [SV1: $i,SV102: $i] :
( ( ( SV102
= ( sK236_SY249 @ SV102 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3304]) ).
thf(3629,plain,
! [SV1: $i,SV102: $i] :
( ( ( in @ SV102 @ ( sK236_SY249 @ SV102 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3304]) ).
thf(3630,plain,
! [SV1: $i,SV104: $i] :
( ( ( in @ ( sK237_SY250 @ SV104 @ SV1 ) @ ( sK93_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3305]) ).
thf(3631,plain,
! [SV1: $i,SV104: $i] :
( ( ( SV104
= ( sK237_SY250 @ SV104 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3306]) ).
thf(3632,plain,
! [SV1: $i,SV104: $i] :
( ( ( in @ SV104 @ ( sK237_SY250 @ SV104 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3306]) ).
thf(3633,plain,
! [SV1: $i,SV106: $i] :
( ( ( in @ ( sK238_SY251 @ SV106 @ SV1 ) @ ( sK94_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3307]) ).
thf(3634,plain,
! [SV1: $i,SV106: $i] :
( ( ( SV106
= ( sK238_SY251 @ SV106 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3308]) ).
thf(3635,plain,
! [SV1: $i,SV106: $i] :
( ( ( in @ SV106 @ ( sK238_SY251 @ SV106 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3308]) ).
thf(3636,plain,
! [SV1: $i,SV108: $i] :
( ( ( in @ ( sK239_SY252 @ SV108 @ SV1 ) @ ( sK95_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3309]) ).
thf(3637,plain,
! [SV1: $i,SV108: $i] :
( ( ( SV108
= ( sK239_SY252 @ SV108 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3310]) ).
thf(3638,plain,
! [SV1: $i,SV108: $i] :
( ( ( in @ SV108 @ ( sK239_SY252 @ SV108 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3310]) ).
thf(3639,plain,
! [SV70: $i,SV589: $i,SV1: $i] :
( ( ( ! [SY645: $i] :
( ~ ( in @ SY645 @ SV1 )
| ~ ( in @ SV589 @ SY645 )
| ( in @ SV589 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK228_SY193 @ SV70 @ SV1 ) @ ( sK74_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3311]) ).
thf(3640,plain,
! [SV70: $i,SV590: $i,SV1: $i] :
( ( ( ! [SY646: $i] :
( ~ ( in @ SY646 @ SV1 )
| ~ ( in @ SV590 @ SY646 )
| ( in @ SV590 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( SV70
= ( sK228_SY193 @ SV70 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3312]) ).
thf(3641,plain,
! [SV70: $i,SV591: $i,SV1: $i] :
( ( ( ! [SY647: $i] :
( ~ ( in @ SY647 @ SV1 )
| ~ ( in @ SV591 @ SY647 )
| ( in @ SV591 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK228_SY193 @ SV70 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3313]) ).
thf(3642,plain,
! [SV72: $i,SV592: $i,SV1: $i] :
( ( ( ! [SY648: $i] :
( ~ ( in @ SY648 @ SV1 )
| ~ ( in @ SV592 @ SY648 )
| ( in @ SV592 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK229_SY194 @ SV72 @ SV1 ) @ ( sK75_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3314]) ).
thf(3643,plain,
! [SV72: $i,SV593: $i,SV1: $i] :
( ( ( ! [SY649: $i] :
( ~ ( in @ SY649 @ SV1 )
| ~ ( in @ SV593 @ SY649 )
| ( in @ SV593 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( SV72
= ( sK229_SY194 @ SV72 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3315]) ).
thf(3644,plain,
! [SV72: $i,SV594: $i,SV1: $i] :
( ( ( ! [SY650: $i] :
( ~ ( in @ SY650 @ SV1 )
| ~ ( in @ SV594 @ SY650 )
| ( in @ SV594 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK229_SY194 @ SV72 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3316]) ).
thf(3645,plain,
! [SV74: $i,SV595: $i,SV1: $i] :
( ( ( ! [SY651: $i] :
( ~ ( in @ SY651 @ SV1 )
| ~ ( in @ SV595 @ SY651 )
| ( in @ SV595 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK230_SY195 @ SV74 @ SV1 ) @ ( sK76_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3317]) ).
thf(3646,plain,
! [SV74: $i,SV596: $i,SV1: $i] :
( ( ( ! [SY652: $i] :
( ~ ( in @ SY652 @ SV1 )
| ~ ( in @ SV596 @ SY652 )
| ( in @ SV596 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( SV74
= ( sK230_SY195 @ SV74 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3318]) ).
thf(3647,plain,
! [SV74: $i,SV597: $i,SV1: $i] :
( ( ( ! [SY653: $i] :
( ~ ( in @ SY653 @ SV1 )
| ~ ( in @ SV597 @ SY653 )
| ( in @ SV597 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV74 @ ( sK230_SY195 @ SV74 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3319]) ).
thf(3648,plain,
! [SV76: $i,SV598: $i,SV1: $i] :
( ( ( ! [SY654: $i] :
( ~ ( in @ SY654 @ SV1 )
| ~ ( in @ SV598 @ SY654 )
| ( in @ SV598 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK231_SY196 @ SV76 @ SV1 ) @ ( sK77_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3320]) ).
thf(3649,plain,
! [SV76: $i,SV599: $i,SV1: $i] :
( ( ( ! [SY655: $i] :
( ~ ( in @ SY655 @ SV1 )
| ~ ( in @ SV599 @ SY655 )
| ( in @ SV599 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( SV76
= ( sK231_SY196 @ SV76 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3321]) ).
thf(3650,plain,
! [SV76: $i,SV600: $i,SV1: $i] :
( ( ( ! [SY656: $i] :
( ~ ( in @ SY656 @ SV1 )
| ~ ( in @ SV600 @ SY656 )
| ( in @ SV600 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV76 @ ( sK231_SY196 @ SV76 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3322]) ).
thf(3651,plain,
! [SV1: $i,SV162: $i] :
( ( ( ~ ( in @ ( sK248_SY309 @ SV162 @ SV1 ) @ ( sK110_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3324]) ).
thf(3652,plain,
! [SV1: $i,SV162: $i] :
( ( ( ( SV162
= ( sK248_SY309 @ SV162 @ SV1 ) )
| ( in @ SV162 @ ( sK248_SY309 @ SV162 @ SV1 ) ) )
= $false )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3324]) ).
thf(3653,plain,
! [SV1: $i,SV164: $i] :
( ( ( ~ ( in @ ( sK249_SY310 @ SV164 @ SV1 ) @ ( sK111_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3326]) ).
thf(3654,plain,
! [SV1: $i,SV164: $i] :
( ( ( ( SV164
= ( sK249_SY310 @ SV164 @ SV1 ) )
| ( in @ SV164 @ ( sK249_SY310 @ SV164 @ SV1 ) ) )
= $false )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3326]) ).
thf(3655,plain,
! [SV1: $i,SV341: $i,SV275: $i] :
( ( ( in @ SV275 @ SV341 )
= $false )
| ( ( in @ SV275 @ SV1 )
= $true )
| ( ( in @ SV341 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK124_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3327]) ).
thf(3656,plain,
! [SV1: $i,SV216: $i] :
( ( ( ~ ( in @ ( sK260_SY351 @ SV216 @ SV1 ) @ ( sK124_SY8 @ SV1 ) )
| ( SV216
= ( sK260_SY351 @ SV216 @ SV1 ) )
| ( in @ SV216 @ ( sK260_SY351 @ SV216 @ SV1 ) ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3328]) ).
thf(3657,plain,
! [SV1: $i,SV342: $i,SV276: $i] :
( ( ( in @ SV276 @ SV342 )
= $false )
| ( ( in @ SV276 @ SV1 )
= $true )
| ( ( in @ SV342 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK125_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3329]) ).
thf(3658,plain,
! [SV1: $i,SV218: $i] :
( ( ( ~ ( in @ ( sK261_SY352 @ SV218 @ SV1 ) @ ( sK125_SY8 @ SV1 ) )
| ( SV218
= ( sK261_SY352 @ SV218 @ SV1 ) )
| ( in @ SV218 @ ( sK261_SY352 @ SV218 @ SV1 ) ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3330]) ).
thf(3659,plain,
! [SV1: $i,SV343: $i,SV277: $i] :
( ( ( in @ SV277 @ SV343 )
= $false )
| ( ( in @ SV277 @ SV1 )
= $true )
| ( ( in @ SV343 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK126_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3331]) ).
thf(3660,plain,
! [SV1: $i,SV220: $i] :
( ( ( ~ ( in @ ( sK262_SY353 @ SV220 @ SV1 ) @ ( sK126_SY8 @ SV1 ) )
| ( SV220
= ( sK262_SY353 @ SV220 @ SV1 ) )
| ( in @ SV220 @ ( sK262_SY353 @ SV220 @ SV1 ) ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3332]) ).
thf(3661,plain,
! [SV1: $i,SV344: $i,SV278: $i] :
( ( ( in @ SV278 @ SV344 )
= $false )
| ( ( in @ SV278 @ SV1 )
= $true )
| ( ( in @ SV344 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( ( sK127_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3333]) ).
thf(3662,plain,
! [SV1: $i,SV222: $i] :
( ( ( ~ ( in @ ( sK263_SY354 @ SV222 @ SV1 ) @ ( sK127_SY8 @ SV1 ) )
| ( SV222
= ( sK263_SY354 @ SV222 @ SV1 ) )
| ( in @ SV222 @ ( sK263_SY354 @ SV222 @ SV1 ) ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3334]) ).
thf(3663,plain,
! [SV1: $i,SV170: $i] :
( ( ( ~ ( in @ ( sK250_SY315 @ SV170 @ SV1 ) @ ( sK112_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3336]) ).
thf(3664,plain,
! [SV1: $i,SV170: $i] :
( ( ( ( SV170
= ( sK250_SY315 @ SV170 @ SV1 ) )
| ( in @ SV170 @ ( sK250_SY315 @ SV170 @ SV1 ) ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3336]) ).
thf(3665,plain,
! [SV1: $i,SV172: $i] :
( ( ( ~ ( in @ ( sK251_SY316 @ SV172 @ SV1 ) @ ( sK113_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3338]) ).
thf(3666,plain,
! [SV1: $i,SV172: $i] :
( ( ( ( SV172
= ( sK251_SY316 @ SV172 @ SV1 ) )
| ( in @ SV172 @ ( sK251_SY316 @ SV172 @ SV1 ) ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3338]) ).
thf(3667,plain,
! [SV1: $i,SV174: $i] :
( ( ( ~ ( in @ ( sK252_SY317 @ SV174 @ SV1 ) @ ( sK114_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3340]) ).
thf(3668,plain,
! [SV1: $i,SV174: $i] :
( ( ( ( SV174
= ( sK252_SY317 @ SV174 @ SV1 ) )
| ( in @ SV174 @ ( sK252_SY317 @ SV174 @ SV1 ) ) )
= $false )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3340]) ).
thf(3669,plain,
! [SV1: $i,SV176: $i] :
( ( ( ~ ( in @ ( sK253_SY318 @ SV176 @ SV1 ) @ ( sK115_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3342]) ).
thf(3670,plain,
! [SV1: $i,SV176: $i] :
( ( ( ( SV176
= ( sK253_SY318 @ SV176 @ SV1 ) )
| ( in @ SV176 @ ( sK253_SY318 @ SV176 @ SV1 ) ) )
= $false )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3342]) ).
thf(3671,plain,
! [SV1: $i,SV397: $i,SV345: $i] :
( ( ( ~ ( in @ SV345 @ SV397 ) )
= $true )
| ( ( in @ SV345 @ SV1 )
= $true )
| ( ( in @ SV397 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK140_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3344]) ).
thf(3672,plain,
! [SV284: $i,SV1: $i] :
( ( ( ! [SY409: $i] :
( ~ ( in @ SY409 @ ( sK140_SY8 @ SV1 ) )
| ( SV284 = SY409 )
| ( in @ SV284 @ SY409 ) ) )
= $false )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3345]) ).
thf(3673,plain,
! [SV1: $i,SV398: $i,SV346: $i] :
( ( ( ~ ( in @ SV346 @ SV398 ) )
= $true )
| ( ( in @ SV346 @ SV1 )
= $true )
| ( ( in @ SV398 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK141_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3347]) ).
thf(3674,plain,
! [SV286: $i,SV1: $i] :
( ( ( ! [SY410: $i] :
( ~ ( in @ SY410 @ ( sK141_SY8 @ SV1 ) )
| ( SV286 = SY410 )
| ( in @ SV286 @ SY410 ) ) )
= $false )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3348]) ).
thf(3675,plain,
! [SV1: $i,SV347: $i,SV287: $i] :
( ( ( in @ SV287 @ SV347 )
= $false )
| ( ( in @ SV287 @ SV1 )
= $true )
| ( ( in @ SV347 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK164_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3349]) ).
thf(3676,plain,
! [SV399: $i,SV1: $i,SV453: $i] :
( ( ( in @ SV453 @ SV1 )
= $false )
| ( ( ~ ( in @ SV399 @ SV453 )
| ( in @ SV399 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK164_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3350]) ).
thf(3677,plain,
! [SV1: $i,SV348: $i] :
( ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY479: $i] :
( ~ ( in @ SY479 @ ( sK164_SY8 @ SV1 ) )
| ( SV348 = SY479 )
| ( in @ SV348 @ SY479 ) ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3351]) ).
thf(3678,plain,
! [SV1: $i,SV349: $i,SV288: $i] :
( ( ( in @ SV288 @ SV349 )
= $false )
| ( ( in @ SV288 @ SV1 )
= $true )
| ( ( in @ SV349 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK165_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3352]) ).
thf(3679,plain,
! [SV400: $i,SV1: $i,SV454: $i] :
( ( ( in @ SV454 @ SV1 )
= $false )
| ( ( ~ ( in @ SV400 @ SV454 )
| ( in @ SV400 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK165_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3353]) ).
thf(3680,plain,
! [SV1: $i,SV350: $i] :
( ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY480: $i] :
( ~ ( in @ SY480 @ ( sK165_SY8 @ SV1 ) )
| ( SV350 = SY480 )
| ( in @ SV350 @ SY480 ) ) )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3354]) ).
thf(3681,plain,
! [SV1: $i,SV351: $i,SV289: $i] :
( ( ( in @ SV289 @ SV351 )
= $false )
| ( ( in @ SV289 @ SV1 )
= $true )
| ( ( in @ SV351 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK166_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3355]) ).
thf(3682,plain,
! [SV401: $i,SV1: $i,SV455: $i] :
( ( ( in @ SV455 @ SV1 )
= $false )
| ( ( ~ ( in @ SV401 @ SV455 )
| ( in @ SV401 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK166_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3356]) ).
thf(3683,plain,
! [SV1: $i,SV352: $i] :
( ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY481: $i] :
( ~ ( in @ SY481 @ ( sK166_SY8 @ SV1 ) )
| ( SV352 = SY481 )
| ( in @ SV352 @ SY481 ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3357]) ).
thf(3684,plain,
! [SV1: $i,SV353: $i,SV290: $i] :
( ( ( in @ SV290 @ SV353 )
= $false )
| ( ( in @ SV290 @ SV1 )
= $true )
| ( ( in @ SV353 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK167_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3358]) ).
thf(3685,plain,
! [SV402: $i,SV1: $i,SV456: $i] :
( ( ( in @ SV456 @ SV1 )
= $false )
| ( ( ~ ( in @ SV402 @ SV456 )
| ( in @ SV402 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK167_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3359]) ).
thf(3686,plain,
! [SV1: $i,SV354: $i] :
( ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY482: $i] :
( ~ ( in @ SY482 @ ( sK167_SY8 @ SV1 ) )
| ( SV354 = SY482 )
| ( in @ SV354 @ SY482 ) ) )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3360]) ).
thf(3687,plain,
! [SV1: $i,SV403: $i,SV355: $i] :
( ( ( ~ ( in @ SV355 @ SV403 ) )
= $true )
| ( ( in @ SV355 @ SV1 )
= $true )
| ( ( in @ SV403 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ( sK142_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3362]) ).
thf(3688,plain,
! [SV292: $i,SV1: $i] :
( ( ( ! [SY415: $i] :
( ~ ( in @ SY415 @ ( sK142_SY8 @ SV1 ) )
| ( SV292 = SY415 )
| ( in @ SV292 @ SY415 ) ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3363]) ).
thf(3689,plain,
! [SV1: $i,SV404: $i,SV356: $i] :
( ( ( ~ ( in @ SV356 @ SV404 ) )
= $true )
| ( ( in @ SV356 @ SV1 )
= $true )
| ( ( in @ SV404 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ( sK143_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3365]) ).
thf(3690,plain,
! [SV294: $i,SV1: $i] :
( ( ( ! [SY416: $i] :
( ~ ( in @ SY416 @ ( sK143_SY8 @ SV1 ) )
| ( SV294 = SY416 )
| ( in @ SV294 @ SY416 ) ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3366]) ).
thf(3691,plain,
! [SV1: $i,SV405: $i,SV357: $i] :
( ( ( ~ ( in @ SV357 @ SV405 ) )
= $true )
| ( ( in @ SV357 @ SV1 )
= $true )
| ( ( in @ SV405 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK180_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3367]) ).
thf(3692,plain,
! [SV457: $i,SV1: $i,SV513: $i] :
( ( ( ~ ( in @ SV513 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV457 @ SV513 )
| ( in @ SV457 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK180_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3368]) ).
thf(3693,plain,
! [SV1: $i,SV406: $i] :
( ( ( ~ ( in @ SV406 @ ( sK180_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY529: $i] :
( ~ ( in @ SY529 @ ( sK180_SY8 @ SV1 ) )
| ( SV406 = SY529 )
| ( in @ SV406 @ SY529 ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3369]) ).
thf(3694,plain,
! [SV1: $i,SV407: $i,SV358: $i] :
( ( ( ~ ( in @ SV358 @ SV407 ) )
= $true )
| ( ( in @ SV358 @ SV1 )
= $true )
| ( ( in @ SV407 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK181_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3370]) ).
thf(3695,plain,
! [SV458: $i,SV1: $i,SV514: $i] :
( ( ( ~ ( in @ SV514 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV458 @ SV514 )
| ( in @ SV458 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK181_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3371]) ).
thf(3696,plain,
! [SV1: $i,SV408: $i] :
( ( ( ~ ( in @ SV408 @ ( sK181_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY530: $i] :
( ~ ( in @ SY530 @ ( sK181_SY8 @ SV1 ) )
| ( SV408 = SY530 )
| ( in @ SV408 @ SY530 ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3372]) ).
thf(3697,plain,
! [SV459: $i,SV1: $i,SV515: $i] :
( ( ( ~ ( in @ SV515 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV459 @ SV515 )
| ( in @ SV459 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK196_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3373]) ).
thf(3698,plain,
! [SV601: $i,SV1: $i] :
( ( ( ! [SY657: $i] :
( ~ ( in @ SY657 @ SV1 )
| ~ ( in @ SV601 @ SY657 )
| ( in @ SV601 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK196_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3374]) ).
thf(3699,plain,
! [SV1: $i,SV516: $i] :
( ( ( ~ ( ~ ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
| ~ ! [SY589: $i] :
( ~ ( in @ SY589 @ ( sK196_SY8 @ SV1 ) )
| ( SV516 = SY589 )
| ( in @ SV516 @ SY589 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3375]) ).
thf(3700,plain,
! [SV460: $i,SV1: $i,SV517: $i] :
( ( ( ~ ( in @ SV517 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV460 @ SV517 )
| ( in @ SV460 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK197_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3376]) ).
thf(3701,plain,
! [SV602: $i,SV1: $i] :
( ( ( ! [SY658: $i] :
( ~ ( in @ SY658 @ SV1 )
| ~ ( in @ SV602 @ SY658 )
| ( in @ SV602 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK197_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3377]) ).
thf(3702,plain,
! [SV1: $i,SV518: $i] :
( ( ( ~ ( ~ ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
| ~ ! [SY590: $i] :
( ~ ( in @ SY590 @ ( sK197_SY8 @ SV1 ) )
| ( SV518 = SY590 )
| ( in @ SV518 @ SY590 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3378]) ).
thf(3703,plain,
! [SV519: $i,SV1: $i,SV603: $i] :
( ( ( ~ ( in @ SV603 @ SV1 )
| ~ ( in @ SV519 @ SV603 )
| ( in @ SV519 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK212_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3379]) ).
thf(3704,plain,
! [SV1: $i] :
( ( ( ( sK212_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3380]) ).
thf(3705,plain,
! [SV1: $i,SV604: $i] :
( ( ( ~ ~ ( ~ ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
| ~ ! [SY659: $i] :
( ~ ( in @ SY659 @ ( sK212_SY8 @ SV1 ) )
| ( SV604 = SY659 )
| ( in @ SV604 @ SY659 ) ) ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3381]) ).
thf(3706,plain,
! [SV520: $i,SV1: $i,SV605: $i] :
( ( ( ~ ( in @ SV605 @ SV1 )
| ~ ( in @ SV520 @ SV605 )
| ( in @ SV520 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK213_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3382]) ).
thf(3707,plain,
! [SV1: $i] :
( ( ( ( sK213_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3383]) ).
thf(3708,plain,
! [SV1: $i,SV606: $i] :
( ( ( ~ ~ ( ~ ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
| ~ ! [SY660: $i] :
( ~ ( in @ SY660 @ ( sK213_SY8 @ SV1 ) )
| ( SV606 = SY660 )
| ( in @ SV606 @ SY660 ) ) ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3384]) ).
thf(3709,plain,
! [SV521: $i,SV1: $i,SV607: $i] :
( ( ( ~ ( in @ SV607 @ SV1 )
| ~ ( in @ SV521 @ SV607 )
| ( in @ SV521 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK214_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3385]) ).
thf(3710,plain,
! [SV1: $i] :
( ( ( ( sK214_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3386]) ).
thf(3711,plain,
! [SV1: $i,SV608: $i] :
( ( ( ~ ~ ( ~ ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
| ~ ! [SY661: $i] :
( ~ ( in @ SY661 @ ( sK214_SY8 @ SV1 ) )
| ( SV608 = SY661 )
| ( in @ SV608 @ SY661 ) ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3387]) ).
thf(3712,plain,
! [SV522: $i,SV1: $i,SV609: $i] :
( ( ( ~ ( in @ SV609 @ SV1 )
| ~ ( in @ SV522 @ SV609 )
| ( in @ SV522 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK215_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3388]) ).
thf(3713,plain,
! [SV1: $i] :
( ( ( ( sK215_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3389]) ).
thf(3714,plain,
! [SV1: $i,SV610: $i] :
( ( ( ~ ~ ( ~ ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
| ~ ! [SY662: $i] :
( ~ ( in @ SY662 @ ( sK215_SY8 @ SV1 ) )
| ( SV610 = SY662 )
| ( in @ SV610 @ SY662 ) ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3390]) ).
thf(3715,plain,
! [SV461: $i,SV1: $i,SV523: $i] :
( ( ( ~ ( in @ SV523 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV461 @ SV523 )
| ( in @ SV461 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK198_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3391]) ).
thf(3716,plain,
! [SV611: $i,SV1: $i] :
( ( ( ! [SY663: $i] :
( ~ ( in @ SY663 @ SV1 )
| ~ ( in @ SV611 @ SY663 )
| ( in @ SV611 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ( sK198_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3392]) ).
thf(3717,plain,
! [SV1: $i,SV524: $i] :
( ( ( ~ ( ~ ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
| ~ ! [SY595: $i] :
( ~ ( in @ SY595 @ ( sK198_SY8 @ SV1 ) )
| ( SV524 = SY595 )
| ( in @ SV524 @ SY595 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3393]) ).
thf(3718,plain,
! [SV462: $i,SV1: $i,SV525: $i] :
( ( ( ~ ( in @ SV525 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV462 @ SV525 )
| ( in @ SV462 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK199_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3394]) ).
thf(3719,plain,
! [SV612: $i,SV1: $i] :
( ( ( ! [SY664: $i] :
( ~ ( in @ SY664 @ SV1 )
| ~ ( in @ SV612 @ SY664 )
| ( in @ SV612 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ( sK199_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3395]) ).
thf(3720,plain,
! [SV1: $i,SV526: $i] :
( ( ( ~ ( ~ ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
| ~ ! [SY596: $i] :
( ~ ( in @ SY596 @ ( sK199_SY8 @ SV1 ) )
| ( SV526 = SY596 )
| ( in @ SV526 @ SY596 ) ) ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3396]) ).
thf(3721,plain,
! [SV1: $i,SV409: $i,SV359: $i] :
( ( ( ~ ( in @ SV359 @ SV409 ) )
= $true )
| ( ( in @ SV359 @ SV1 )
= $true )
| ( ( in @ SV409 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK182_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3397]) ).
thf(3722,plain,
! [SV463: $i,SV1: $i,SV527: $i] :
( ( ( ~ ( in @ SV527 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV463 @ SV527 )
| ( in @ SV463 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK182_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3398]) ).
thf(3723,plain,
! [SV1: $i,SV410: $i] :
( ( ( ~ ( in @ SV410 @ ( sK182_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY531: $i] :
( ~ ( in @ SY531 @ ( sK182_SY8 @ SV1 ) )
| ( SV410 = SY531 )
| ( in @ SV410 @ SY531 ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3399]) ).
thf(3724,plain,
! [SV1: $i,SV411: $i,SV360: $i] :
( ( ( ~ ( in @ SV360 @ SV411 ) )
= $true )
| ( ( in @ SV360 @ SV1 )
= $true )
| ( ( in @ SV411 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK183_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3400]) ).
thf(3725,plain,
! [SV464: $i,SV1: $i,SV528: $i] :
( ( ( ~ ( in @ SV528 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV464 @ SV528 )
| ( in @ SV464 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK183_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3401]) ).
thf(3726,plain,
! [SV1: $i,SV412: $i] :
( ( ( ~ ( in @ SV412 @ ( sK183_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY532: $i] :
( ~ ( in @ SY532 @ ( sK183_SY8 @ SV1 ) )
| ( SV412 = SY532 )
| ( in @ SV412 @ SY532 ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3402]) ).
thf(3727,plain,
! [SV465: $i,SV1: $i,SV529: $i] :
( ( ( ~ ( in @ SV529 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV465 @ SV529 )
| ( in @ SV465 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK200_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3403]) ).
thf(3728,plain,
! [SV613: $i,SV1: $i] :
( ( ( ! [SY665: $i] :
( ~ ( in @ SY665 @ SV1 )
| ~ ( in @ SV613 @ SY665 )
| ( in @ SV613 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK200_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3404]) ).
thf(3729,plain,
! [SV1: $i,SV530: $i] :
( ( ( ~ ( ~ ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
| ~ ! [SY597: $i] :
( ~ ( in @ SY597 @ ( sK200_SY8 @ SV1 ) )
| ( SV530 = SY597 )
| ( in @ SV530 @ SY597 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3405]) ).
thf(3730,plain,
! [SV466: $i,SV1: $i,SV531: $i] :
( ( ( ~ ( in @ SV531 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV466 @ SV531 )
| ( in @ SV466 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK201_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3406]) ).
thf(3731,plain,
! [SV614: $i,SV1: $i] :
( ( ( ! [SY666: $i] :
( ~ ( in @ SY666 @ SV1 )
| ~ ( in @ SV614 @ SY666 )
| ( in @ SV614 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK201_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3407]) ).
thf(3732,plain,
! [SV1: $i,SV532: $i] :
( ( ( ~ ( ~ ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
| ~ ! [SY598: $i] :
( ~ ( in @ SY598 @ ( sK201_SY8 @ SV1 ) )
| ( SV532 = SY598 )
| ( in @ SV532 @ SY598 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3408]) ).
thf(3733,plain,
! [SV533: $i,SV1: $i,SV615: $i] :
( ( ( ~ ( in @ SV615 @ SV1 )
| ~ ( in @ SV533 @ SV615 )
| ( in @ SV533 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK216_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3409]) ).
thf(3734,plain,
! [SV1: $i] :
( ( ( ( sK216_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3410]) ).
thf(3735,plain,
! [SV1: $i,SV616: $i] :
( ( ( ~ ~ ( ~ ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
| ~ ! [SY667: $i] :
( ~ ( in @ SY667 @ ( sK216_SY8 @ SV1 ) )
| ( SV616 = SY667 )
| ( in @ SV616 @ SY667 ) ) ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3411]) ).
thf(3736,plain,
! [SV534: $i,SV1: $i,SV617: $i] :
( ( ( ~ ( in @ SV617 @ SV1 )
| ~ ( in @ SV534 @ SV617 )
| ( in @ SV534 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK217_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3412]) ).
thf(3737,plain,
! [SV1: $i] :
( ( ( ( sK217_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3413]) ).
thf(3738,plain,
! [SV1: $i,SV618: $i] :
( ( ( ~ ~ ( ~ ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
| ~ ! [SY668: $i] :
( ~ ( in @ SY668 @ ( sK217_SY8 @ SV1 ) )
| ( SV618 = SY668 )
| ( in @ SV618 @ SY668 ) ) ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3414]) ).
thf(3739,plain,
! [SV535: $i,SV1: $i,SV619: $i] :
( ( ( ~ ( in @ SV619 @ SV1 )
| ~ ( in @ SV535 @ SV619 )
| ( in @ SV535 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK218_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3415]) ).
thf(3740,plain,
! [SV1: $i] :
( ( ( ( sK218_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3416]) ).
thf(3741,plain,
! [SV1: $i,SV620: $i] :
( ( ( ~ ~ ( ~ ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
| ~ ! [SY669: $i] :
( ~ ( in @ SY669 @ ( sK218_SY8 @ SV1 ) )
| ( SV620 = SY669 )
| ( in @ SV620 @ SY669 ) ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3417]) ).
thf(3742,plain,
! [SV536: $i,SV1: $i,SV621: $i] :
( ( ( ~ ( in @ SV621 @ SV1 )
| ~ ( in @ SV536 @ SV621 )
| ( in @ SV536 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK219_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3418]) ).
thf(3743,plain,
! [SV1: $i] :
( ( ( ( sK219_SY8 @ SV1 )
= emptyset )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3419]) ).
thf(3744,plain,
! [SV1: $i,SV622: $i] :
( ( ( ~ ~ ( ~ ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
| ~ ! [SY670: $i] :
( ~ ( in @ SY670 @ ( sK219_SY8 @ SV1 ) )
| ( SV622 = SY670 )
| ( in @ SV622 @ SY670 ) ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3420]) ).
thf(3745,plain,
! [SV467: $i,SV1: $i,SV537: $i] :
( ( ( ~ ( in @ SV537 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV467 @ SV537 )
| ( in @ SV467 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK202_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3421]) ).
thf(3746,plain,
! [SV623: $i,SV1: $i] :
( ( ( ! [SY671: $i] :
( ~ ( in @ SY671 @ SV1 )
| ~ ( in @ SV623 @ SY671 )
| ( in @ SV623 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ( sK202_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3422]) ).
thf(3747,plain,
! [SV1: $i,SV538: $i] :
( ( ( ~ ( ~ ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
| ~ ! [SY603: $i] :
( ~ ( in @ SY603 @ ( sK202_SY8 @ SV1 ) )
| ( SV538 = SY603 )
| ( in @ SV538 @ SY603 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3423]) ).
thf(3748,plain,
! [SV468: $i,SV1: $i,SV539: $i] :
( ( ( ~ ( in @ SV539 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV468 @ SV539 )
| ( in @ SV468 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK203_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3424]) ).
thf(3749,plain,
! [SV624: $i,SV1: $i] :
( ( ( ! [SY672: $i] :
( ~ ( in @ SY672 @ SV1 )
| ~ ( in @ SV624 @ SY672 )
| ( in @ SV624 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ( sK203_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3425]) ).
thf(3750,plain,
! [SV1: $i,SV540: $i] :
( ( ( ~ ( ~ ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
| ~ ! [SY604: $i] :
( ~ ( in @ SY604 @ ( sK203_SY8 @ SV1 ) )
| ( SV540 = SY604 )
| ( in @ SV540 @ SY604 ) ) ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3426]) ).
thf(3751,plain,
! [SV1: $i,SV178: $i] :
( ( ( ~ ( in @ ( sK254_SY327 @ SV178 @ SV1 ) @ ( sK118_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3428]) ).
thf(3752,plain,
! [SV1: $i,SV178: $i] :
( ( ( ( SV178
= ( sK254_SY327 @ SV178 @ SV1 ) )
| ( in @ SV178 @ ( sK254_SY327 @ SV178 @ SV1 ) ) )
= $false )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3428]) ).
thf(3753,plain,
! [SV1: $i,SV180: $i] :
( ( ( ~ ( in @ ( sK255_SY328 @ SV180 @ SV1 ) @ ( sK119_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3430]) ).
thf(3754,plain,
! [SV1: $i,SV180: $i] :
( ( ( ( SV180
= ( sK255_SY328 @ SV180 @ SV1 ) )
| ( in @ SV180 @ ( sK255_SY328 @ SV180 @ SV1 ) ) )
= $false )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3430]) ).
thf(3755,plain,
! [SV1: $i,SV413: $i,SV361: $i] :
( ( ( ~ ( in @ SV361 @ SV413 ) )
= $true )
| ( ( in @ SV361 @ SV1 )
= $true )
| ( ( in @ SV413 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK148_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3432]) ).
thf(3756,plain,
! [SV298: $i,SV1: $i] :
( ( ( ! [SY433: $i] :
( ~ ( in @ SY433 @ ( sK148_SY8 @ SV1 ) )
| ( SV298 = SY433 )
| ( in @ SV298 @ SY433 ) ) )
= $false )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3433]) ).
thf(3757,plain,
! [SV1: $i,SV414: $i,SV362: $i] :
( ( ( ~ ( in @ SV362 @ SV414 ) )
= $true )
| ( ( in @ SV362 @ SV1 )
= $true )
| ( ( in @ SV414 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK149_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3435]) ).
thf(3758,plain,
! [SV300: $i,SV1: $i] :
( ( ( ! [SY434: $i] :
( ~ ( in @ SY434 @ ( sK149_SY8 @ SV1 ) )
| ( SV300 = SY434 )
| ( in @ SV300 @ SY434 ) ) )
= $false )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3436]) ).
thf(3759,plain,
! [SV1: $i,SV363: $i,SV301: $i] :
( ( ( in @ SV301 @ SV363 )
= $false )
| ( ( in @ SV301 @ SV1 )
= $true )
| ( ( in @ SV363 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK172_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3437]) ).
thf(3760,plain,
! [SV415: $i,SV1: $i,SV469: $i] :
( ( ( in @ SV469 @ SV1 )
= $false )
| ( ( ~ ( in @ SV415 @ SV469 )
| ( in @ SV415 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK172_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3438]) ).
thf(3761,plain,
! [SV1: $i,SV364: $i] :
( ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY507: $i] :
( ~ ( in @ SY507 @ ( sK172_SY8 @ SV1 ) )
| ( SV364 = SY507 )
| ( in @ SV364 @ SY507 ) ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3439]) ).
thf(3762,plain,
! [SV1: $i,SV365: $i,SV302: $i] :
( ( ( in @ SV302 @ SV365 )
= $false )
| ( ( in @ SV302 @ SV1 )
= $true )
| ( ( in @ SV365 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK173_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3440]) ).
thf(3763,plain,
! [SV416: $i,SV1: $i,SV470: $i] :
( ( ( in @ SV470 @ SV1 )
= $false )
| ( ( ~ ( in @ SV416 @ SV470 )
| ( in @ SV416 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK173_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3441]) ).
thf(3764,plain,
! [SV1: $i,SV366: $i] :
( ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY508: $i] :
( ~ ( in @ SY508 @ ( sK173_SY8 @ SV1 ) )
| ( SV366 = SY508 )
| ( in @ SV366 @ SY508 ) ) )
= $true )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3442]) ).
thf(3765,plain,
! [SV1: $i,SV367: $i,SV303: $i] :
( ( ( in @ SV303 @ SV367 )
= $false )
| ( ( in @ SV303 @ SV1 )
= $true )
| ( ( in @ SV367 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK174_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3443]) ).
thf(3766,plain,
! [SV417: $i,SV1: $i,SV471: $i] :
( ( ( in @ SV471 @ SV1 )
= $false )
| ( ( ~ ( in @ SV417 @ SV471 )
| ( in @ SV417 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK174_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3444]) ).
thf(3767,plain,
! [SV1: $i,SV368: $i] :
( ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY509: $i] :
( ~ ( in @ SY509 @ ( sK174_SY8 @ SV1 ) )
| ( SV368 = SY509 )
| ( in @ SV368 @ SY509 ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3445]) ).
thf(3768,plain,
! [SV1: $i,SV369: $i,SV304: $i] :
( ( ( in @ SV304 @ SV369 )
= $false )
| ( ( in @ SV304 @ SV1 )
= $true )
| ( ( in @ SV369 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK175_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3446]) ).
thf(3769,plain,
! [SV418: $i,SV1: $i,SV472: $i] :
( ( ( in @ SV472 @ SV1 )
= $false )
| ( ( ~ ( in @ SV418 @ SV472 )
| ( in @ SV418 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK175_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3447]) ).
thf(3770,plain,
! [SV1: $i,SV370: $i] :
( ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY510: $i] :
( ~ ( in @ SY510 @ ( sK175_SY8 @ SV1 ) )
| ( SV370 = SY510 )
| ( in @ SV370 @ SY510 ) ) )
= $true )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3448]) ).
thf(3771,plain,
! [SV1: $i,SV419: $i,SV371: $i] :
( ( ( ~ ( in @ SV371 @ SV419 ) )
= $true )
| ( ( in @ SV371 @ SV1 )
= $true )
| ( ( in @ SV419 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ( sK150_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3450]) ).
thf(3772,plain,
! [SV306: $i,SV1: $i] :
( ( ( ! [SY439: $i] :
( ~ ( in @ SY439 @ ( sK150_SY8 @ SV1 ) )
| ( SV306 = SY439 )
| ( in @ SV306 @ SY439 ) ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3451]) ).
thf(3773,plain,
! [SV1: $i,SV420: $i,SV372: $i] :
( ( ( ~ ( in @ SV372 @ SV420 ) )
= $true )
| ( ( in @ SV372 @ SV1 )
= $true )
| ( ( in @ SV420 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ( sK151_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3453]) ).
thf(3774,plain,
! [SV308: $i,SV1: $i] :
( ( ( ! [SY440: $i] :
( ~ ( in @ SY440 @ ( sK151_SY8 @ SV1 ) )
| ( SV308 = SY440 )
| ( in @ SV308 @ SY440 ) ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3454]) ).
thf(3775,plain,
! [SV18: $i,SV421: $i,SV1: $i,SV473: $i] :
( ( ( in @ SV473 @ SV1 )
= $false )
| ( ( ~ ( in @ SV421 @ SV473 )
| ( in @ SV421 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK184_SY93 @ SV18 @ SV1 ) @ ( sK40_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3455]) ).
thf(3776,plain,
! [SV18: $i,SV422: $i,SV1: $i,SV474: $i] :
( ( ( in @ SV474 @ SV1 )
= $false )
| ( ( ~ ( in @ SV422 @ SV474 )
| ( in @ SV422 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( SV18
= ( sK184_SY93 @ SV18 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3456]) ).
thf(3777,plain,
! [SV18: $i,SV423: $i,SV1: $i,SV475: $i] :
( ( ( in @ SV475 @ SV1 )
= $false )
| ( ( ~ ( in @ SV423 @ SV475 )
| ( in @ SV423 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV18 @ ( sK184_SY93 @ SV18 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3457]) ).
thf(3778,plain,
! [SV20: $i,SV424: $i,SV1: $i,SV476: $i] :
( ( ( in @ SV476 @ SV1 )
= $false )
| ( ( ~ ( in @ SV424 @ SV476 )
| ( in @ SV424 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK185_SY94 @ SV20 @ SV1 ) @ ( sK41_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3458]) ).
thf(3779,plain,
! [SV20: $i,SV425: $i,SV1: $i,SV477: $i] :
( ( ( in @ SV477 @ SV1 )
= $false )
| ( ( ~ ( in @ SV425 @ SV477 )
| ( in @ SV425 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( SV20
= ( sK185_SY94 @ SV20 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3459]) ).
thf(3780,plain,
! [SV20: $i,SV426: $i,SV1: $i,SV478: $i] :
( ( ( in @ SV478 @ SV1 )
= $false )
| ( ( ~ ( in @ SV426 @ SV478 )
| ( in @ SV426 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV20 @ ( sK185_SY94 @ SV20 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3460]) ).
thf(3781,plain,
! [SV44: $i,SV541: $i,SV1: $i,SV625: $i] :
( ( ( ~ ( in @ SV625 @ SV1 )
| ~ ( in @ SV541 @ SV625 )
| ( in @ SV541 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK220_SY161 @ SV44 @ SV1 ) @ ( sK60_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3461]) ).
thf(3782,plain,
! [SV44: $i,SV542: $i,SV1: $i,SV626: $i] :
( ( ( ~ ( in @ SV626 @ SV1 )
| ~ ( in @ SV542 @ SV626 )
| ( in @ SV542 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( SV44
= ( sK220_SY161 @ SV44 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3462]) ).
thf(3783,plain,
! [SV44: $i,SV543: $i,SV1: $i,SV627: $i] :
( ( ( ~ ( in @ SV627 @ SV1 )
| ~ ( in @ SV543 @ SV627 )
| ( in @ SV543 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV44 @ ( sK220_SY161 @ SV44 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3463]) ).
thf(3784,plain,
! [SV46: $i,SV544: $i,SV1: $i,SV628: $i] :
( ( ( ~ ( in @ SV628 @ SV1 )
| ~ ( in @ SV544 @ SV628 )
| ( in @ SV544 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK221_SY162 @ SV46 @ SV1 ) @ ( sK61_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3464]) ).
thf(3785,plain,
! [SV46: $i,SV545: $i,SV1: $i,SV629: $i] :
( ( ( ~ ( in @ SV629 @ SV1 )
| ~ ( in @ SV545 @ SV629 )
| ( in @ SV545 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( SV46
= ( sK221_SY162 @ SV46 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3465]) ).
thf(3786,plain,
! [SV46: $i,SV546: $i,SV1: $i,SV630: $i] :
( ( ( ~ ( in @ SV630 @ SV1 )
| ~ ( in @ SV546 @ SV630 )
| ( in @ SV546 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV46 @ ( sK221_SY162 @ SV46 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3466]) ).
thf(3787,plain,
! [SV80: $i,SV631: $i,SV1: $i] :
( ( ( ! [SY673: $i] :
( ~ ( in @ SY673 @ SV1 )
| ~ ( in @ SV631 @ SY673 )
| ( in @ SV631 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK232_SY215 @ SV80 @ SV1 ) @ ( sK84_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3467]) ).
thf(3788,plain,
! [SV80: $i,SV632: $i,SV1: $i] :
( ( ( ! [SY674: $i] :
( ~ ( in @ SY674 @ SV1 )
| ~ ( in @ SV632 @ SY674 )
| ( in @ SV632 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( SV80
= ( sK232_SY215 @ SV80 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3468]) ).
thf(3789,plain,
! [SV80: $i,SV633: $i,SV1: $i] :
( ( ( ! [SY675: $i] :
( ~ ( in @ SY675 @ SV1 )
| ~ ( in @ SV633 @ SY675 )
| ( in @ SV633 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK232_SY215 @ SV80 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3469]) ).
thf(3790,plain,
! [SV82: $i,SV634: $i,SV1: $i] :
( ( ( ! [SY676: $i] :
( ~ ( in @ SY676 @ SV1 )
| ~ ( in @ SV634 @ SY676 )
| ( in @ SV634 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK233_SY216 @ SV82 @ SV1 ) @ ( sK85_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3470]) ).
thf(3791,plain,
! [SV82: $i,SV635: $i,SV1: $i] :
( ( ( ! [SY677: $i] :
( ~ ( in @ SY677 @ SV1 )
| ~ ( in @ SV635 @ SY677 )
| ( in @ SV635 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( SV82
= ( sK233_SY216 @ SV82 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3471]) ).
thf(3792,plain,
! [SV82: $i,SV636: $i,SV1: $i] :
( ( ( ! [SY678: $i] :
( ~ ( in @ SY678 @ SV1 )
| ~ ( in @ SV636 @ SY678 )
| ( in @ SV636 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK233_SY216 @ SV82 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3472]) ).
thf(3793,plain,
! [SV84: $i,SV637: $i,SV1: $i] :
( ( ( ! [SY679: $i] :
( ~ ( in @ SY679 @ SV1 )
| ~ ( in @ SV637 @ SY679 )
| ( in @ SV637 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK234_SY217 @ SV84 @ SV1 ) @ ( sK86_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3473]) ).
thf(3794,plain,
! [SV84: $i,SV638: $i,SV1: $i] :
( ( ( ! [SY680: $i] :
( ~ ( in @ SY680 @ SV1 )
| ~ ( in @ SV638 @ SY680 )
| ( in @ SV638 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( SV84
= ( sK234_SY217 @ SV84 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3474]) ).
thf(3795,plain,
! [SV84: $i,SV639: $i,SV1: $i] :
( ( ( ! [SY681: $i] :
( ~ ( in @ SY681 @ SV1 )
| ~ ( in @ SV639 @ SY681 )
| ( in @ SV639 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK234_SY217 @ SV84 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3475]) ).
thf(3796,plain,
! [SV86: $i,SV640: $i,SV1: $i] :
( ( ( ! [SY682: $i] :
( ~ ( in @ SY682 @ SV1 )
| ~ ( in @ SV640 @ SY682 )
| ( in @ SV640 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK235_SY218 @ SV86 @ SV1 ) @ ( sK87_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3476]) ).
thf(3797,plain,
! [SV86: $i,SV641: $i,SV1: $i] :
( ( ( ! [SY683: $i] :
( ~ ( in @ SY683 @ SV1 )
| ~ ( in @ SV641 @ SY683 )
| ( in @ SV641 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( SV86
= ( sK235_SY218 @ SV86 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3477]) ).
thf(3798,plain,
! [SV86: $i,SV642: $i,SV1: $i] :
( ( ( ! [SY684: $i] :
( ~ ( in @ SY684 @ SV1 )
| ~ ( in @ SV642 @ SY684 )
| ( in @ SV642 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK235_SY218 @ SV86 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3478]) ).
thf(3799,plain,
! [SV52: $i,SV547: $i,SV1: $i,SV643: $i] :
( ( ( ~ ( in @ SV643 @ SV1 )
| ~ ( in @ SV547 @ SV643 )
| ( in @ SV547 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK222_SY167 @ SV52 @ SV1 ) @ ( sK62_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3479]) ).
thf(3800,plain,
! [SV52: $i,SV548: $i,SV1: $i,SV644: $i] :
( ( ( ~ ( in @ SV644 @ SV1 )
| ~ ( in @ SV548 @ SV644 )
| ( in @ SV548 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( SV52
= ( sK222_SY167 @ SV52 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3480]) ).
thf(3801,plain,
! [SV52: $i,SV549: $i,SV1: $i,SV645: $i] :
( ( ( ~ ( in @ SV645 @ SV1 )
| ~ ( in @ SV549 @ SV645 )
| ( in @ SV549 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK222_SY167 @ SV52 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3481]) ).
thf(3802,plain,
! [SV54: $i,SV550: $i,SV1: $i,SV646: $i] :
( ( ( ~ ( in @ SV646 @ SV1 )
| ~ ( in @ SV550 @ SV646 )
| ( in @ SV550 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK223_SY168 @ SV54 @ SV1 ) @ ( sK63_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3482]) ).
thf(3803,plain,
! [SV54: $i,SV551: $i,SV1: $i,SV647: $i] :
( ( ( ~ ( in @ SV647 @ SV1 )
| ~ ( in @ SV551 @ SV647 )
| ( in @ SV551 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( SV54
= ( sK223_SY168 @ SV54 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3483]) ).
thf(3804,plain,
! [SV54: $i,SV552: $i,SV1: $i,SV648: $i] :
( ( ( ~ ( in @ SV648 @ SV1 )
| ~ ( in @ SV552 @ SV648 )
| ( in @ SV552 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK223_SY168 @ SV54 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3484]) ).
thf(3805,plain,
! [SV56: $i,SV553: $i,SV1: $i,SV649: $i] :
( ( ( ~ ( in @ SV649 @ SV1 )
| ~ ( in @ SV553 @ SV649 )
| ( in @ SV553 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK224_SY169 @ SV56 @ SV1 ) @ ( sK64_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3485]) ).
thf(3806,plain,
! [SV56: $i,SV554: $i,SV1: $i,SV650: $i] :
( ( ( ~ ( in @ SV650 @ SV1 )
| ~ ( in @ SV554 @ SV650 )
| ( in @ SV554 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( SV56
= ( sK224_SY169 @ SV56 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3486]) ).
thf(3807,plain,
! [SV56: $i,SV555: $i,SV1: $i,SV651: $i] :
( ( ( ~ ( in @ SV651 @ SV1 )
| ~ ( in @ SV555 @ SV651 )
| ( in @ SV555 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV56 @ ( sK224_SY169 @ SV56 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3487]) ).
thf(3808,plain,
! [SV58: $i,SV556: $i,SV1: $i,SV652: $i] :
( ( ( ~ ( in @ SV652 @ SV1 )
| ~ ( in @ SV556 @ SV652 )
| ( in @ SV556 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK225_SY170 @ SV58 @ SV1 ) @ ( sK65_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3488]) ).
thf(3809,plain,
! [SV58: $i,SV557: $i,SV1: $i,SV653: $i] :
( ( ( ~ ( in @ SV653 @ SV1 )
| ~ ( in @ SV557 @ SV653 )
| ( in @ SV557 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( SV58
= ( sK225_SY170 @ SV58 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3489]) ).
thf(3810,plain,
! [SV58: $i,SV558: $i,SV1: $i,SV654: $i] :
( ( ( ~ ( in @ SV654 @ SV1 )
| ~ ( in @ SV558 @ SV654 )
| ( in @ SV558 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV58 @ ( sK225_SY170 @ SV58 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3490]) ).
thf(3811,plain,
! [SV1: $i,SV132: $i] :
( ( ( in @ ( sK240_SY285 @ SV132 @ SV1 ) @ ( sK100_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3491]) ).
thf(3812,plain,
! [SV1: $i,SV132: $i] :
( ( ( SV132
= ( sK240_SY285 @ SV132 @ SV1 ) )
= $false )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3492]) ).
thf(3813,plain,
! [SV1: $i,SV132: $i] :
( ( ( in @ SV132 @ ( sK240_SY285 @ SV132 @ SV1 ) )
= $false )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3492]) ).
thf(3814,plain,
! [SV1: $i,SV134: $i] :
( ( ( in @ ( sK241_SY286 @ SV134 @ SV1 ) @ ( sK101_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3493]) ).
thf(3815,plain,
! [SV1: $i,SV134: $i] :
( ( ( SV134
= ( sK241_SY286 @ SV134 @ SV1 ) )
= $false )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3494]) ).
thf(3816,plain,
! [SV1: $i,SV134: $i] :
( ( ( in @ SV134 @ ( sK241_SY286 @ SV134 @ SV1 ) )
= $false )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3494]) ).
thf(3817,plain,
! [SV1: $i,SV188: $i] :
( ( ( ~ ( in @ ( sK256_SY331 @ SV188 @ SV1 ) @ ( sK120_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3496]) ).
thf(3818,plain,
! [SV1: $i,SV188: $i] :
( ( ( ( SV188
= ( sK256_SY331 @ SV188 @ SV1 ) )
| ( in @ SV188 @ ( sK256_SY331 @ SV188 @ SV1 ) ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3496]) ).
thf(3819,plain,
! [SV1: $i,SV190: $i] :
( ( ( ~ ( in @ ( sK257_SY332 @ SV190 @ SV1 ) @ ( sK121_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3498]) ).
thf(3820,plain,
! [SV1: $i,SV190: $i] :
( ( ( ( SV190
= ( sK257_SY332 @ SV190 @ SV1 ) )
| ( in @ SV190 @ ( sK257_SY332 @ SV190 @ SV1 ) ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3498]) ).
thf(3821,plain,
! [SV1: $i,SV192: $i] :
( ( ( ~ ( in @ ( sK258_SY333 @ SV192 @ SV1 ) @ ( sK122_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3500]) ).
thf(3822,plain,
! [SV1: $i,SV192: $i] :
( ( ( ( SV192
= ( sK258_SY333 @ SV192 @ SV1 ) )
| ( in @ SV192 @ ( sK258_SY333 @ SV192 @ SV1 ) ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3500]) ).
thf(3823,plain,
! [SV1: $i,SV194: $i] :
( ( ( ~ ( in @ ( sK259_SY334 @ SV194 @ SV1 ) @ ( sK123_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3502]) ).
thf(3824,plain,
! [SV1: $i,SV194: $i] :
( ( ( ( SV194
= ( sK259_SY334 @ SV194 @ SV1 ) )
| ( in @ SV194 @ ( sK259_SY334 @ SV194 @ SV1 ) ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3502]) ).
thf(3825,plain,
! [SV1: $i,SV140: $i] :
( ( ( in @ ( sK242_SY291 @ SV140 @ SV1 ) @ ( sK102_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3503]) ).
thf(3826,plain,
! [SV1: $i,SV140: $i] :
( ( ( SV140
= ( sK242_SY291 @ SV140 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3504]) ).
thf(3827,plain,
! [SV1: $i,SV140: $i] :
( ( ( in @ SV140 @ ( sK242_SY291 @ SV140 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3504]) ).
thf(3828,plain,
! [SV1: $i,SV142: $i] :
( ( ( in @ ( sK243_SY292 @ SV142 @ SV1 ) @ ( sK103_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3505]) ).
thf(3829,plain,
! [SV1: $i,SV142: $i] :
( ( ( SV142
= ( sK243_SY292 @ SV142 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3506]) ).
thf(3830,plain,
! [SV1: $i,SV142: $i] :
( ( ( in @ SV142 @ ( sK243_SY292 @ SV142 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3506]) ).
thf(3831,plain,
! [SV1: $i,SV144: $i] :
( ( ( in @ ( sK244_SY293 @ SV144 @ SV1 ) @ ( sK104_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3507]) ).
thf(3832,plain,
! [SV1: $i,SV144: $i] :
( ( ( SV144
= ( sK244_SY293 @ SV144 @ SV1 ) )
= $false )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3508]) ).
thf(3833,plain,
! [SV1: $i,SV144: $i] :
( ( ( in @ SV144 @ ( sK244_SY293 @ SV144 @ SV1 ) )
= $false )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3508]) ).
thf(3834,plain,
! [SV1: $i,SV146: $i] :
( ( ( in @ ( sK245_SY294 @ SV146 @ SV1 ) @ ( sK105_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3509]) ).
thf(3835,plain,
! [SV1: $i,SV146: $i] :
( ( ( SV146
= ( sK245_SY294 @ SV146 @ SV1 ) )
= $false )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3510]) ).
thf(3836,plain,
! [SV1: $i,SV146: $i] :
( ( ( in @ SV146 @ ( sK245_SY294 @ SV146 @ SV1 ) )
= $false )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3510]) ).
thf(3837,plain,
! [SV1: $i,SV373: $i,SV313: $i] :
( ( ( in @ SV313 @ SV373 )
= $false )
| ( ( in @ SV313 @ SV1 )
= $true )
| ( ( in @ SV373 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK128_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3511]) ).
thf(3838,plain,
! [SV1: $i,SV248: $i] :
( ( ( ~ ( in @ ( sK264_SY373 @ SV248 @ SV1 ) @ ( sK128_SY8 @ SV1 ) )
| ( SV248
= ( sK264_SY373 @ SV248 @ SV1 ) )
| ( in @ SV248 @ ( sK264_SY373 @ SV248 @ SV1 ) ) )
= $false )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3512]) ).
thf(3839,plain,
! [SV1: $i,SV374: $i,SV314: $i] :
( ( ( in @ SV314 @ SV374 )
= $false )
| ( ( in @ SV314 @ SV1 )
= $true )
| ( ( in @ SV374 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK129_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3513]) ).
thf(3840,plain,
! [SV1: $i,SV250: $i] :
( ( ( ~ ( in @ ( sK265_SY374 @ SV250 @ SV1 ) @ ( sK129_SY8 @ SV1 ) )
| ( SV250
= ( sK265_SY374 @ SV250 @ SV1 ) )
| ( in @ SV250 @ ( sK265_SY374 @ SV250 @ SV1 ) ) )
= $false )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3514]) ).
thf(3841,plain,
! [SV1: $i,SV427: $i,SV375: $i] :
( ( ( ~ ( in @ SV375 @ SV427 ) )
= $true )
| ( ( in @ SV375 @ SV1 )
= $true )
| ( ( in @ SV427 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK152_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3516]) ).
thf(3842,plain,
! [SV316: $i,SV1: $i] :
( ( ( ! [SY443: $i] :
( ~ ( in @ SY443 @ ( sK152_SY8 @ SV1 ) )
| ( SV316 = SY443 )
| ( in @ SV316 @ SY443 ) ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3517]) ).
thf(3843,plain,
! [SV1: $i,SV428: $i,SV376: $i] :
( ( ( ~ ( in @ SV376 @ SV428 ) )
= $true )
| ( ( in @ SV376 @ SV1 )
= $true )
| ( ( in @ SV428 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK153_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3519]) ).
thf(3844,plain,
! [SV318: $i,SV1: $i] :
( ( ( ! [SY444: $i] :
( ~ ( in @ SY444 @ ( sK153_SY8 @ SV1 ) )
| ( SV318 = SY444 )
| ( in @ SV318 @ SY444 ) ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3520]) ).
thf(3845,plain,
! [SV1: $i,SV429: $i,SV377: $i] :
( ( ( ~ ( in @ SV377 @ SV429 ) )
= $true )
| ( ( in @ SV377 @ SV1 )
= $true )
| ( ( in @ SV429 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK154_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3522]) ).
thf(3846,plain,
! [SV320: $i,SV1: $i] :
( ( ( ! [SY445: $i] :
( ~ ( in @ SY445 @ ( sK154_SY8 @ SV1 ) )
| ( SV320 = SY445 )
| ( in @ SV320 @ SY445 ) ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3523]) ).
thf(3847,plain,
! [SV1: $i,SV430: $i,SV378: $i] :
( ( ( ~ ( in @ SV378 @ SV430 ) )
= $true )
| ( ( in @ SV378 @ SV1 )
= $true )
| ( ( in @ SV430 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK155_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3525]) ).
thf(3848,plain,
! [SV322: $i,SV1: $i] :
( ( ( ! [SY446: $i] :
( ~ ( in @ SY446 @ ( sK155_SY8 @ SV1 ) )
| ( SV322 = SY446 )
| ( in @ SV322 @ SY446 ) ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3526]) ).
thf(3849,plain,
! [SV1: $i,SV379: $i,SV323: $i] :
( ( ( in @ SV323 @ SV379 )
= $false )
| ( ( in @ SV323 @ SV1 )
= $true )
| ( ( in @ SV379 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ( sK130_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3527]) ).
thf(3850,plain,
! [SV1: $i,SV256: $i] :
( ( ( ~ ( in @ ( sK266_SY379 @ SV256 @ SV1 ) @ ( sK130_SY8 @ SV1 ) )
| ( SV256
= ( sK266_SY379 @ SV256 @ SV1 ) )
| ( in @ SV256 @ ( sK266_SY379 @ SV256 @ SV1 ) ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3528]) ).
thf(3851,plain,
! [SV1: $i,SV380: $i,SV324: $i] :
( ( ( in @ SV324 @ SV380 )
= $false )
| ( ( in @ SV324 @ SV1 )
= $true )
| ( ( in @ SV380 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( ( sK131_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3529]) ).
thf(3852,plain,
! [SV1: $i,SV258: $i] :
( ( ( ~ ( in @ ( sK267_SY380 @ SV258 @ SV1 ) @ ( sK131_SY8 @ SV1 ) )
| ( SV258
= ( sK267_SY380 @ SV258 @ SV1 ) )
| ( in @ SV258 @ ( sK267_SY380 @ SV258 @ SV1 ) ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3530]) ).
thf(3853,plain,
! [SV1: $i,SV381: $i,SV325: $i] :
( ( ( in @ SV325 @ SV381 )
= $false )
| ( ( in @ SV325 @ SV1 )
= $true )
| ( ( in @ SV381 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK176_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3531]) ).
thf(3854,plain,
! [SV431: $i,SV1: $i,SV479: $i] :
( ( ( in @ SV479 @ SV1 )
= $false )
| ( ( ~ ( in @ SV431 @ SV479 )
| ( in @ SV431 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK176_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3532]) ).
thf(3855,plain,
! [SV1: $i,SV382: $i] :
( ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY517: $i] :
( ~ ( in @ SY517 @ ( sK176_SY8 @ SV1 ) )
| ( SV382 = SY517 )
| ( in @ SV382 @ SY517 ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3533]) ).
thf(3856,plain,
! [SV1: $i,SV383: $i,SV326: $i] :
( ( ( in @ SV326 @ SV383 )
= $false )
| ( ( in @ SV326 @ SV1 )
= $true )
| ( ( in @ SV383 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK177_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3534]) ).
thf(3857,plain,
! [SV432: $i,SV1: $i,SV480: $i] :
( ( ( in @ SV480 @ SV1 )
= $false )
| ( ( ~ ( in @ SV432 @ SV480 )
| ( in @ SV432 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK177_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3535]) ).
thf(3858,plain,
! [SV1: $i,SV384: $i] :
( ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY518: $i] :
( ~ ( in @ SY518 @ ( sK177_SY8 @ SV1 ) )
| ( SV384 = SY518 )
| ( in @ SV384 @ SY518 ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3536]) ).
thf(3859,plain,
! [SV433: $i,SV1: $i,SV481: $i] :
( ( ( in @ SV481 @ SV1 )
= $false )
| ( ( ~ ( in @ SV433 @ SV481 )
| ( in @ SV433 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK186_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3537]) ).
thf(3860,plain,
! [SV559: $i,SV1: $i,SV655: $i] :
( ( ( ~ ( in @ SV655 @ SV1 )
| ~ ( in @ SV559 @ SV655 )
| ( in @ SV559 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK186_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3538]) ).
thf(3861,plain,
! [SV1: $i,SV482: $i] :
( ( ( ~ ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
| ~ ! [SY573: $i] :
( ~ ( in @ SY573 @ ( sK186_SY8 @ SV1 ) )
| ( SV482 = SY573 )
| ( in @ SV482 @ SY573 ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3539]) ).
thf(3862,plain,
! [SV434: $i,SV1: $i,SV483: $i] :
( ( ( in @ SV483 @ SV1 )
= $false )
| ( ( ~ ( in @ SV434 @ SV483 )
| ( in @ SV434 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK187_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3540]) ).
thf(3863,plain,
! [SV560: $i,SV1: $i,SV656: $i] :
( ( ( ~ ( in @ SV656 @ SV1 )
| ~ ( in @ SV560 @ SV656 )
| ( in @ SV560 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK187_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3541]) ).
thf(3864,plain,
! [SV1: $i,SV484: $i] :
( ( ( ~ ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
| ~ ! [SY574: $i] :
( ~ ( in @ SY574 @ ( sK187_SY8 @ SV1 ) )
| ( SV484 = SY574 )
| ( in @ SV484 @ SY574 ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3542]) ).
thf(3865,plain,
! [SV485: $i,SV1: $i,SV561: $i] :
( ( ( ~ ( in @ SV561 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV485 @ SV561 )
| ( in @ SV485 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK204_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3543]) ).
thf(3866,plain,
! [SV657: $i,SV1: $i] :
( ( ( ! [SY685: $i] :
( ~ ( in @ SY685 @ SV1 )
| ~ ( in @ SV657 @ SY685 )
| ( in @ SV657 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK204_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3544]) ).
thf(3867,plain,
! [SV1: $i,SV562: $i] :
( ( ( ~ ( ~ ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
| ~ ! [SY625: $i] :
( ~ ( in @ SY625 @ ( sK204_SY8 @ SV1 ) )
| ( SV562 = SY625 )
| ( in @ SV562 @ SY625 ) ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3545]) ).
thf(3868,plain,
! [SV486: $i,SV1: $i,SV563: $i] :
( ( ( ~ ( in @ SV563 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV486 @ SV563 )
| ( in @ SV486 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK205_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3546]) ).
thf(3869,plain,
! [SV658: $i,SV1: $i] :
( ( ( ! [SY686: $i] :
( ~ ( in @ SY686 @ SV1 )
| ~ ( in @ SV658 @ SY686 )
| ( in @ SV658 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK205_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3547]) ).
thf(3870,plain,
! [SV1: $i,SV564: $i] :
( ( ( ~ ( ~ ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
| ~ ! [SY626: $i] :
( ~ ( in @ SY626 @ ( sK205_SY8 @ SV1 ) )
| ( SV564 = SY626 )
| ( in @ SV564 @ SY626 ) ) ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3548]) ).
thf(3871,plain,
! [SV487: $i,SV1: $i,SV565: $i] :
( ( ( ~ ( in @ SV565 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV487 @ SV565 )
| ( in @ SV487 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK206_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3549]) ).
thf(3872,plain,
! [SV659: $i,SV1: $i] :
( ( ( ! [SY687: $i] :
( ~ ( in @ SY687 @ SV1 )
| ~ ( in @ SV659 @ SY687 )
| ( in @ SV659 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK206_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3550]) ).
thf(3873,plain,
! [SV1: $i,SV566: $i] :
( ( ( ~ ( ~ ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
| ~ ! [SY627: $i] :
( ~ ( in @ SY627 @ ( sK206_SY8 @ SV1 ) )
| ( SV566 = SY627 )
| ( in @ SV566 @ SY627 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3551]) ).
thf(3874,plain,
! [SV488: $i,SV1: $i,SV567: $i] :
( ( ( ~ ( in @ SV567 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV488 @ SV567 )
| ( in @ SV488 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK207_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3552]) ).
thf(3875,plain,
! [SV660: $i,SV1: $i] :
( ( ( ! [SY688: $i] :
( ~ ( in @ SY688 @ SV1 )
| ~ ( in @ SV660 @ SY688 )
| ( in @ SV660 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK207_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3553]) ).
thf(3876,plain,
! [SV1: $i,SV568: $i] :
( ( ( ~ ( ~ ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
| ~ ! [SY628: $i] :
( ~ ( in @ SY628 @ ( sK207_SY8 @ SV1 ) )
| ( SV568 = SY628 )
| ( in @ SV568 @ SY628 ) ) ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3554]) ).
thf(3877,plain,
! [SV435: $i,SV1: $i,SV489: $i] :
( ( ( in @ SV489 @ SV1 )
= $false )
| ( ( ~ ( in @ SV435 @ SV489 )
| ( in @ SV435 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK188_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3555]) ).
thf(3878,plain,
! [SV569: $i,SV1: $i,SV661: $i] :
( ( ( ~ ( in @ SV661 @ SV1 )
| ~ ( in @ SV569 @ SV661 )
| ( in @ SV569 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ( sK188_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3556]) ).
thf(3879,plain,
! [SV1: $i,SV490: $i] :
( ( ( ~ ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
| ~ ! [SY579: $i] :
( ~ ( in @ SY579 @ ( sK188_SY8 @ SV1 ) )
| ( SV490 = SY579 )
| ( in @ SV490 @ SY579 ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3557]) ).
thf(3880,plain,
! [SV436: $i,SV1: $i,SV491: $i] :
( ( ( in @ SV491 @ SV1 )
= $false )
| ( ( ~ ( in @ SV436 @ SV491 )
| ( in @ SV436 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK189_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3558]) ).
thf(3881,plain,
! [SV570: $i,SV1: $i,SV662: $i] :
( ( ( ~ ( in @ SV662 @ SV1 )
| ~ ( in @ SV570 @ SV662 )
| ( in @ SV570 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ( sK189_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3559]) ).
thf(3882,plain,
! [SV1: $i,SV492: $i] :
( ( ( ~ ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
| ~ ! [SY580: $i] :
( ~ ( in @ SY580 @ ( sK189_SY8 @ SV1 ) )
| ( SV492 = SY580 )
| ( in @ SV492 @ SY580 ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3560]) ).
thf(3883,plain,
! [SV1: $i,SV385: $i,SV327: $i] :
( ( ( in @ SV327 @ SV385 )
= $false )
| ( ( in @ SV327 @ SV1 )
= $true )
| ( ( in @ SV385 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK178_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3561]) ).
thf(3884,plain,
! [SV437: $i,SV1: $i,SV493: $i] :
( ( ( in @ SV493 @ SV1 )
= $false )
| ( ( ~ ( in @ SV437 @ SV493 )
| ( in @ SV437 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK178_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3562]) ).
thf(3885,plain,
! [SV1: $i,SV386: $i] :
( ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY519: $i] :
( ~ ( in @ SY519 @ ( sK178_SY8 @ SV1 ) )
| ( SV386 = SY519 )
| ( in @ SV386 @ SY519 ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3563]) ).
thf(3886,plain,
! [SV1: $i,SV387: $i,SV328: $i] :
( ( ( in @ SV328 @ SV387 )
= $false )
| ( ( in @ SV328 @ SV1 )
= $true )
| ( ( in @ SV387 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK179_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3564]) ).
thf(3887,plain,
! [SV438: $i,SV1: $i,SV494: $i] :
( ( ( in @ SV494 @ SV1 )
= $false )
| ( ( ~ ( in @ SV438 @ SV494 )
| ( in @ SV438 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK179_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3565]) ).
thf(3888,plain,
! [SV1: $i,SV388: $i] :
( ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY520: $i] :
( ~ ( in @ SY520 @ ( sK179_SY8 @ SV1 ) )
| ( SV388 = SY520 )
| ( in @ SV388 @ SY520 ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3566]) ).
thf(3889,plain,
! [SV439: $i,SV1: $i,SV495: $i] :
( ( ( in @ SV495 @ SV1 )
= $false )
| ( ( ~ ( in @ SV439 @ SV495 )
| ( in @ SV439 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK190_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3567]) ).
thf(3890,plain,
! [SV571: $i,SV1: $i,SV663: $i] :
( ( ( ~ ( in @ SV663 @ SV1 )
| ~ ( in @ SV571 @ SV663 )
| ( in @ SV571 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK190_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3568]) ).
thf(3891,plain,
! [SV1: $i,SV496: $i] :
( ( ( ~ ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
| ~ ! [SY581: $i] :
( ~ ( in @ SY581 @ ( sK190_SY8 @ SV1 ) )
| ( SV496 = SY581 )
| ( in @ SV496 @ SY581 ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3569]) ).
thf(3892,plain,
! [SV440: $i,SV1: $i,SV497: $i] :
( ( ( in @ SV497 @ SV1 )
= $false )
| ( ( ~ ( in @ SV440 @ SV497 )
| ( in @ SV440 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK191_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3570]) ).
thf(3893,plain,
! [SV572: $i,SV1: $i,SV664: $i] :
( ( ( ~ ( in @ SV664 @ SV1 )
| ~ ( in @ SV572 @ SV664 )
| ( in @ SV572 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK191_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3571]) ).
thf(3894,plain,
! [SV1: $i,SV498: $i] :
( ( ( ~ ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
| ~ ! [SY582: $i] :
( ~ ( in @ SY582 @ ( sK191_SY8 @ SV1 ) )
| ( SV498 = SY582 )
| ( in @ SV498 @ SY582 ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3572]) ).
thf(3895,plain,
! [SV499: $i,SV1: $i,SV573: $i] :
( ( ( ~ ( in @ SV573 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV499 @ SV573 )
| ( in @ SV499 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK208_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3573]) ).
thf(3896,plain,
! [SV665: $i,SV1: $i] :
( ( ( ! [SY689: $i] :
( ~ ( in @ SY689 @ SV1 )
| ~ ( in @ SV665 @ SY689 )
| ( in @ SV665 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK208_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3574]) ).
thf(3897,plain,
! [SV1: $i,SV574: $i] :
( ( ( ~ ( ~ ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
| ~ ! [SY633: $i] :
( ~ ( in @ SY633 @ ( sK208_SY8 @ SV1 ) )
| ( SV574 = SY633 )
| ( in @ SV574 @ SY633 ) ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3575]) ).
thf(3898,plain,
! [SV500: $i,SV1: $i,SV575: $i] :
( ( ( ~ ( in @ SV575 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV500 @ SV575 )
| ( in @ SV500 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK209_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3576]) ).
thf(3899,plain,
! [SV666: $i,SV1: $i] :
( ( ( ! [SY690: $i] :
( ~ ( in @ SY690 @ SV1 )
| ~ ( in @ SV666 @ SY690 )
| ( in @ SV666 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK209_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3577]) ).
thf(3900,plain,
! [SV1: $i,SV576: $i] :
( ( ( ~ ( ~ ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
| ~ ! [SY634: $i] :
( ~ ( in @ SY634 @ ( sK209_SY8 @ SV1 ) )
| ( SV576 = SY634 )
| ( in @ SV576 @ SY634 ) ) ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3578]) ).
thf(3901,plain,
! [SV501: $i,SV1: $i,SV577: $i] :
( ( ( ~ ( in @ SV577 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV501 @ SV577 )
| ( in @ SV501 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK210_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3579]) ).
thf(3902,plain,
! [SV667: $i,SV1: $i] :
( ( ( ! [SY691: $i] :
( ~ ( in @ SY691 @ SV1 )
| ~ ( in @ SV667 @ SY691 )
| ( in @ SV667 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK210_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3580]) ).
thf(3903,plain,
! [SV1: $i,SV578: $i] :
( ( ( ~ ( ~ ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
| ~ ! [SY635: $i] :
( ~ ( in @ SY635 @ ( sK210_SY8 @ SV1 ) )
| ( SV578 = SY635 )
| ( in @ SV578 @ SY635 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3581]) ).
thf(3904,plain,
! [SV502: $i,SV1: $i,SV579: $i] :
( ( ( ~ ( in @ SV579 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV502 @ SV579 )
| ( in @ SV502 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK211_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3582]) ).
thf(3905,plain,
! [SV668: $i,SV1: $i] :
( ( ( ! [SY692: $i] :
( ~ ( in @ SY692 @ SV1 )
| ~ ( in @ SV668 @ SY692 )
| ( in @ SV668 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK211_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3583]) ).
thf(3906,plain,
! [SV1: $i,SV580: $i] :
( ( ( ~ ( ~ ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
| ~ ! [SY636: $i] :
( ~ ( in @ SY636 @ ( sK211_SY8 @ SV1 ) )
| ( SV580 = SY636 )
| ( in @ SV580 @ SY636 ) ) ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3584]) ).
thf(3907,plain,
! [SV441: $i,SV1: $i,SV503: $i] :
( ( ( in @ SV503 @ SV1 )
= $false )
| ( ( ~ ( in @ SV441 @ SV503 )
| ( in @ SV441 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK192_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3585]) ).
thf(3908,plain,
! [SV581: $i,SV1: $i,SV669: $i] :
( ( ( ~ ( in @ SV669 @ SV1 )
| ~ ( in @ SV581 @ SV669 )
| ( in @ SV581 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ( sK192_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3586]) ).
thf(3909,plain,
! [SV1: $i,SV504: $i] :
( ( ( ~ ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
| ~ ! [SY587: $i] :
( ~ ( in @ SY587 @ ( sK192_SY8 @ SV1 ) )
| ( SV504 = SY587 )
| ( in @ SV504 @ SY587 ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3587]) ).
thf(3910,plain,
! [SV442: $i,SV1: $i,SV505: $i] :
( ( ( in @ SV505 @ SV1 )
= $false )
| ( ( ~ ( in @ SV442 @ SV505 )
| ( in @ SV442 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK193_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3588]) ).
thf(3911,plain,
! [SV582: $i,SV1: $i,SV670: $i] :
( ( ( ~ ( in @ SV670 @ SV1 )
| ~ ( in @ SV582 @ SV670 )
| ( in @ SV582 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ( sK193_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3589]) ).
thf(3912,plain,
! [SV1: $i,SV506: $i] :
( ( ( ~ ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
| ~ ! [SY588: $i] :
( ~ ( in @ SY588 @ ( sK193_SY8 @ SV1 ) )
| ( SV506 = SY588 )
| ( in @ SV506 @ SY588 ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3590]) ).
thf(3913,plain,
! [SV1: $i,SV148: $i] :
( ( ( in @ ( sK246_SY303 @ SV148 @ SV1 ) @ ( sK108_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3591]) ).
thf(3914,plain,
! [SV1: $i,SV148: $i] :
( ( ( SV148
= ( sK246_SY303 @ SV148 @ SV1 ) )
= $false )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3592]) ).
thf(3915,plain,
! [SV1: $i,SV148: $i] :
( ( ( in @ SV148 @ ( sK246_SY303 @ SV148 @ SV1 ) )
= $false )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3592]) ).
thf(3916,plain,
! [SV1: $i,SV150: $i] :
( ( ( in @ ( sK247_SY304 @ SV150 @ SV1 ) @ ( sK109_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3593]) ).
thf(3917,plain,
! [SV1: $i,SV150: $i] :
( ( ( SV150
= ( sK247_SY304 @ SV150 @ SV1 ) )
= $false )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3594]) ).
thf(3918,plain,
! [SV1: $i,SV150: $i] :
( ( ( in @ SV150 @ ( sK247_SY304 @ SV150 @ SV1 ) )
= $false )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3594]) ).
thf(3919,plain,
! [SV1: $i,SV389: $i,SV329: $i] :
( ( ( in @ SV329 @ SV389 )
= $false )
| ( ( in @ SV329 @ SV1 )
= $true )
| ( ( in @ SV389 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK136_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3595]) ).
thf(3920,plain,
! [SV1: $i,SV262: $i] :
( ( ( ~ ( in @ ( sK268_SY397 @ SV262 @ SV1 ) @ ( sK136_SY8 @ SV1 ) )
| ( SV262
= ( sK268_SY397 @ SV262 @ SV1 ) )
| ( in @ SV262 @ ( sK268_SY397 @ SV262 @ SV1 ) ) )
= $false )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3596]) ).
thf(3921,plain,
! [SV1: $i,SV390: $i,SV330: $i] :
( ( ( in @ SV330 @ SV390 )
= $false )
| ( ( in @ SV330 @ SV1 )
= $true )
| ( ( in @ SV390 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK137_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3597]) ).
thf(3922,plain,
! [SV1: $i,SV264: $i] :
( ( ( ~ ( in @ ( sK269_SY398 @ SV264 @ SV1 ) @ ( sK137_SY8 @ SV1 ) )
| ( SV264
= ( sK269_SY398 @ SV264 @ SV1 ) )
| ( in @ SV264 @ ( sK269_SY398 @ SV264 @ SV1 ) ) )
= $false )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3598]) ).
thf(3923,plain,
! [SV1: $i,SV443: $i,SV391: $i] :
( ( ( ~ ( in @ SV391 @ SV443 ) )
= $true )
| ( ( in @ SV391 @ SV1 )
= $true )
| ( ( in @ SV443 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK160_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3600]) ).
thf(3924,plain,
! [SV332: $i,SV1: $i] :
( ( ( ! [SY471: $i] :
( ~ ( in @ SY471 @ ( sK160_SY8 @ SV1 ) )
| ( SV332 = SY471 )
| ( in @ SV332 @ SY471 ) ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3601]) ).
thf(3925,plain,
! [SV1: $i,SV444: $i,SV392: $i] :
( ( ( ~ ( in @ SV392 @ SV444 ) )
= $true )
| ( ( in @ SV392 @ SV1 )
= $true )
| ( ( in @ SV444 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK161_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3603]) ).
thf(3926,plain,
! [SV334: $i,SV1: $i] :
( ( ( ! [SY472: $i] :
( ~ ( in @ SY472 @ ( sK161_SY8 @ SV1 ) )
| ( SV334 = SY472 )
| ( in @ SV334 @ SY472 ) ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3604]) ).
thf(3927,plain,
! [SV1: $i,SV445: $i,SV393: $i] :
( ( ( ~ ( in @ SV393 @ SV445 ) )
= $true )
| ( ( in @ SV393 @ SV1 )
= $true )
| ( ( in @ SV445 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK162_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3606]) ).
thf(3928,plain,
! [SV336: $i,SV1: $i] :
( ( ( ! [SY473: $i] :
( ~ ( in @ SY473 @ ( sK162_SY8 @ SV1 ) )
| ( SV336 = SY473 )
| ( in @ SV336 @ SY473 ) ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3607]) ).
thf(3929,plain,
! [SV1: $i,SV446: $i,SV394: $i] :
( ( ( ~ ( in @ SV394 @ SV446 ) )
= $true )
| ( ( in @ SV394 @ SV1 )
= $true )
| ( ( in @ SV446 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK163_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3609]) ).
thf(3930,plain,
! [SV338: $i,SV1: $i] :
( ( ( ! [SY474: $i] :
( ~ ( in @ SY474 @ ( sK163_SY8 @ SV1 ) )
| ( SV338 = SY474 )
| ( in @ SV338 @ SY474 ) ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3610]) ).
thf(3931,plain,
! [SV1: $i,SV395: $i,SV339: $i] :
( ( ( in @ SV339 @ SV395 )
= $false )
| ( ( in @ SV339 @ SV1 )
= $true )
| ( ( in @ SV395 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ( sK138_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3611]) ).
thf(3932,plain,
! [SV1: $i,SV270: $i] :
( ( ( ~ ( in @ ( sK270_SY403 @ SV270 @ SV1 ) @ ( sK138_SY8 @ SV1 ) )
| ( SV270
= ( sK270_SY403 @ SV270 @ SV1 ) )
| ( in @ SV270 @ ( sK270_SY403 @ SV270 @ SV1 ) ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3612]) ).
thf(3933,plain,
! [SV1: $i,SV396: $i,SV340: $i] :
( ( ( in @ SV340 @ SV396 )
= $false )
| ( ( in @ SV340 @ SV1 )
= $true )
| ( ( in @ SV396 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( ( sK139_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3613]) ).
thf(3934,plain,
! [SV1: $i,SV272: $i] :
( ( ( ~ ( in @ ( sK271_SY404 @ SV272 @ SV1 ) @ ( sK139_SY8 @ SV1 ) )
| ( SV272
= ( sK271_SY404 @ SV272 @ SV1 ) )
| ( in @ SV272 @ ( sK271_SY404 @ SV272 @ SV1 ) ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3614]) ).
thf(3935,plain,
! [SV22: $i,SV447: $i,SV1: $i,SV507: $i] :
( ( ( in @ SV507 @ SV1 )
= $false )
| ( ( ~ ( in @ SV447 @ SV507 )
| ( in @ SV447 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK194_SY111 @ SV22 @ SV1 ) @ ( sK48_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3615]) ).
thf(3936,plain,
! [SV22: $i,SV448: $i,SV1: $i,SV508: $i] :
( ( ( in @ SV508 @ SV1 )
= $false )
| ( ( ~ ( in @ SV448 @ SV508 )
| ( in @ SV448 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( SV22
= ( sK194_SY111 @ SV22 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3616]) ).
thf(3937,plain,
! [SV22: $i,SV449: $i,SV1: $i,SV509: $i] :
( ( ( in @ SV509 @ SV1 )
= $false )
| ( ( ~ ( in @ SV449 @ SV509 )
| ( in @ SV449 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV22 @ ( sK194_SY111 @ SV22 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3617]) ).
thf(3938,plain,
! [SV24: $i,SV450: $i,SV1: $i,SV510: $i] :
( ( ( in @ SV510 @ SV1 )
= $false )
| ( ( ~ ( in @ SV450 @ SV510 )
| ( in @ SV450 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK195_SY112 @ SV24 @ SV1 ) @ ( sK49_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3618]) ).
thf(3939,plain,
! [SV24: $i,SV451: $i,SV1: $i,SV511: $i] :
( ( ( in @ SV511 @ SV1 )
= $false )
| ( ( ~ ( in @ SV451 @ SV511 )
| ( in @ SV451 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( SV24
= ( sK195_SY112 @ SV24 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3619]) ).
thf(3940,plain,
! [SV24: $i,SV452: $i,SV1: $i,SV512: $i] :
( ( ( in @ SV512 @ SV1 )
= $false )
| ( ( ~ ( in @ SV452 @ SV512 )
| ( in @ SV452 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV24 @ ( sK195_SY112 @ SV24 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3620]) ).
thf(3941,plain,
! [SV62: $i,SV583: $i,SV1: $i,SV671: $i] :
( ( ( ~ ( in @ SV671 @ SV1 )
| ~ ( in @ SV583 @ SV671 )
| ( in @ SV583 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK226_SY187 @ SV62 @ SV1 ) @ ( sK72_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3621]) ).
thf(3942,plain,
! [SV62: $i,SV584: $i,SV1: $i,SV672: $i] :
( ( ( ~ ( in @ SV672 @ SV1 )
| ~ ( in @ SV584 @ SV672 )
| ( in @ SV584 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( SV62
= ( sK226_SY187 @ SV62 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3622]) ).
thf(3943,plain,
! [SV62: $i,SV585: $i,SV1: $i,SV673: $i] :
( ( ( ~ ( in @ SV673 @ SV1 )
| ~ ( in @ SV585 @ SV673 )
| ( in @ SV585 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV62 @ ( sK226_SY187 @ SV62 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3623]) ).
thf(3944,plain,
! [SV64: $i,SV586: $i,SV1: $i,SV674: $i] :
( ( ( ~ ( in @ SV674 @ SV1 )
| ~ ( in @ SV586 @ SV674 )
| ( in @ SV586 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK227_SY188 @ SV64 @ SV1 ) @ ( sK73_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3624]) ).
thf(3945,plain,
! [SV64: $i,SV587: $i,SV1: $i,SV675: $i] :
( ( ( ~ ( in @ SV675 @ SV1 )
| ~ ( in @ SV587 @ SV675 )
| ( in @ SV587 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( SV64
= ( sK227_SY188 @ SV64 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3625]) ).
thf(3946,plain,
! [SV64: $i,SV588: $i,SV1: $i,SV676: $i] :
( ( ( ~ ( in @ SV676 @ SV1 )
| ~ ( in @ SV588 @ SV676 )
| ( in @ SV588 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV64 @ ( sK227_SY188 @ SV64 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3626]) ).
thf(3947,plain,
! [SV102: $i,SV677: $i,SV1: $i] :
( ( ( ! [SY693: $i] :
( ~ ( in @ SY693 @ SV1 )
| ~ ( in @ SV677 @ SY693 )
| ( in @ SV677 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK236_SY249 @ SV102 @ SV1 ) @ ( sK92_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3627]) ).
thf(3948,plain,
! [SV102: $i,SV678: $i,SV1: $i] :
( ( ( ! [SY694: $i] :
( ~ ( in @ SY694 @ SV1 )
| ~ ( in @ SV678 @ SY694 )
| ( in @ SV678 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( SV102
= ( sK236_SY249 @ SV102 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3628]) ).
thf(3949,plain,
! [SV102: $i,SV679: $i,SV1: $i] :
( ( ( ! [SY695: $i] :
( ~ ( in @ SY695 @ SV1 )
| ~ ( in @ SV679 @ SY695 )
| ( in @ SV679 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK236_SY249 @ SV102 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3629]) ).
thf(3950,plain,
! [SV104: $i,SV680: $i,SV1: $i] :
( ( ( ! [SY696: $i] :
( ~ ( in @ SY696 @ SV1 )
| ~ ( in @ SV680 @ SY696 )
| ( in @ SV680 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK237_SY250 @ SV104 @ SV1 ) @ ( sK93_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3630]) ).
thf(3951,plain,
! [SV104: $i,SV681: $i,SV1: $i] :
( ( ( ! [SY697: $i] :
( ~ ( in @ SY697 @ SV1 )
| ~ ( in @ SV681 @ SY697 )
| ( in @ SV681 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( SV104
= ( sK237_SY250 @ SV104 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3631]) ).
thf(3952,plain,
! [SV104: $i,SV682: $i,SV1: $i] :
( ( ( ! [SY698: $i] :
( ~ ( in @ SY698 @ SV1 )
| ~ ( in @ SV682 @ SY698 )
| ( in @ SV682 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK237_SY250 @ SV104 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3632]) ).
thf(3953,plain,
! [SV106: $i,SV683: $i,SV1: $i] :
( ( ( ! [SY699: $i] :
( ~ ( in @ SY699 @ SV1 )
| ~ ( in @ SV683 @ SY699 )
| ( in @ SV683 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK238_SY251 @ SV106 @ SV1 ) @ ( sK94_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3633]) ).
thf(3954,plain,
! [SV106: $i,SV684: $i,SV1: $i] :
( ( ( ! [SY700: $i] :
( ~ ( in @ SY700 @ SV1 )
| ~ ( in @ SV684 @ SY700 )
| ( in @ SV684 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( SV106
= ( sK238_SY251 @ SV106 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3634]) ).
thf(3955,plain,
! [SV106: $i,SV685: $i,SV1: $i] :
( ( ( ! [SY701: $i] :
( ~ ( in @ SY701 @ SV1 )
| ~ ( in @ SV685 @ SY701 )
| ( in @ SV685 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK238_SY251 @ SV106 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3635]) ).
thf(3956,plain,
! [SV108: $i,SV686: $i,SV1: $i] :
( ( ( ! [SY702: $i] :
( ~ ( in @ SY702 @ SV1 )
| ~ ( in @ SV686 @ SY702 )
| ( in @ SV686 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK239_SY252 @ SV108 @ SV1 ) @ ( sK95_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3636]) ).
thf(3957,plain,
! [SV108: $i,SV687: $i,SV1: $i] :
( ( ( ! [SY703: $i] :
( ~ ( in @ SY703 @ SV1 )
| ~ ( in @ SV687 @ SY703 )
| ( in @ SV687 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( SV108
= ( sK239_SY252 @ SV108 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3637]) ).
thf(3958,plain,
! [SV108: $i,SV688: $i,SV1: $i] :
( ( ( ! [SY704: $i] :
( ~ ( in @ SY704 @ SV1 )
| ~ ( in @ SV688 @ SY704 )
| ( in @ SV688 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK239_SY252 @ SV108 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3638]) ).
thf(3959,plain,
! [SV70: $i,SV589: $i,SV1: $i,SV689: $i] :
( ( ( ~ ( in @ SV689 @ SV1 )
| ~ ( in @ SV589 @ SV689 )
| ( in @ SV589 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK228_SY193 @ SV70 @ SV1 ) @ ( sK74_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3639]) ).
thf(3960,plain,
! [SV70: $i,SV590: $i,SV1: $i,SV690: $i] :
( ( ( ~ ( in @ SV690 @ SV1 )
| ~ ( in @ SV590 @ SV690 )
| ( in @ SV590 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( SV70
= ( sK228_SY193 @ SV70 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3640]) ).
thf(3961,plain,
! [SV70: $i,SV591: $i,SV1: $i,SV691: $i] :
( ( ( ~ ( in @ SV691 @ SV1 )
| ~ ( in @ SV591 @ SV691 )
| ( in @ SV591 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK228_SY193 @ SV70 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3641]) ).
thf(3962,plain,
! [SV72: $i,SV592: $i,SV1: $i,SV692: $i] :
( ( ( ~ ( in @ SV692 @ SV1 )
| ~ ( in @ SV592 @ SV692 )
| ( in @ SV592 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK229_SY194 @ SV72 @ SV1 ) @ ( sK75_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3642]) ).
thf(3963,plain,
! [SV72: $i,SV593: $i,SV1: $i,SV693: $i] :
( ( ( ~ ( in @ SV693 @ SV1 )
| ~ ( in @ SV593 @ SV693 )
| ( in @ SV593 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( SV72
= ( sK229_SY194 @ SV72 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3643]) ).
thf(3964,plain,
! [SV72: $i,SV594: $i,SV1: $i,SV694: $i] :
( ( ( ~ ( in @ SV694 @ SV1 )
| ~ ( in @ SV594 @ SV694 )
| ( in @ SV594 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK229_SY194 @ SV72 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3644]) ).
thf(3965,plain,
! [SV74: $i,SV595: $i,SV1: $i,SV695: $i] :
( ( ( ~ ( in @ SV695 @ SV1 )
| ~ ( in @ SV595 @ SV695 )
| ( in @ SV595 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK230_SY195 @ SV74 @ SV1 ) @ ( sK76_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3645]) ).
thf(3966,plain,
! [SV74: $i,SV596: $i,SV1: $i,SV696: $i] :
( ( ( ~ ( in @ SV696 @ SV1 )
| ~ ( in @ SV596 @ SV696 )
| ( in @ SV596 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( SV74
= ( sK230_SY195 @ SV74 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3646]) ).
thf(3967,plain,
! [SV74: $i,SV597: $i,SV1: $i,SV697: $i] :
( ( ( ~ ( in @ SV697 @ SV1 )
| ~ ( in @ SV597 @ SV697 )
| ( in @ SV597 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV74 @ ( sK230_SY195 @ SV74 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3647]) ).
thf(3968,plain,
! [SV76: $i,SV598: $i,SV1: $i,SV698: $i] :
( ( ( ~ ( in @ SV698 @ SV1 )
| ~ ( in @ SV598 @ SV698 )
| ( in @ SV598 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK231_SY196 @ SV76 @ SV1 ) @ ( sK77_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3648]) ).
thf(3969,plain,
! [SV76: $i,SV599: $i,SV1: $i,SV699: $i] :
( ( ( ~ ( in @ SV699 @ SV1 )
| ~ ( in @ SV599 @ SV699 )
| ( in @ SV599 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( SV76
= ( sK231_SY196 @ SV76 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3649]) ).
thf(3970,plain,
! [SV76: $i,SV600: $i,SV1: $i,SV700: $i] :
( ( ( ~ ( in @ SV700 @ SV1 )
| ~ ( in @ SV600 @ SV700 )
| ( in @ SV600 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV76 @ ( sK231_SY196 @ SV76 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3650]) ).
thf(3971,plain,
! [SV1: $i,SV162: $i] :
( ( ( in @ ( sK248_SY309 @ SV162 @ SV1 ) @ ( sK110_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3651]) ).
thf(3972,plain,
! [SV1: $i,SV162: $i] :
( ( ( SV162
= ( sK248_SY309 @ SV162 @ SV1 ) )
= $false )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3652]) ).
thf(3973,plain,
! [SV1: $i,SV162: $i] :
( ( ( in @ SV162 @ ( sK248_SY309 @ SV162 @ SV1 ) )
= $false )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3652]) ).
thf(3974,plain,
! [SV1: $i,SV164: $i] :
( ( ( in @ ( sK249_SY310 @ SV164 @ SV1 ) @ ( sK111_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3653]) ).
thf(3975,plain,
! [SV1: $i,SV164: $i] :
( ( ( SV164
= ( sK249_SY310 @ SV164 @ SV1 ) )
= $false )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3654]) ).
thf(3976,plain,
! [SV1: $i,SV164: $i] :
( ( ( in @ SV164 @ ( sK249_SY310 @ SV164 @ SV1 ) )
= $false )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3654]) ).
thf(3977,plain,
! [SV1: $i,SV216: $i] :
( ( ( ~ ( in @ ( sK260_SY351 @ SV216 @ SV1 ) @ ( sK124_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3656]) ).
thf(3978,plain,
! [SV1: $i,SV216: $i] :
( ( ( ( SV216
= ( sK260_SY351 @ SV216 @ SV1 ) )
| ( in @ SV216 @ ( sK260_SY351 @ SV216 @ SV1 ) ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3656]) ).
thf(3979,plain,
! [SV1: $i,SV218: $i] :
( ( ( ~ ( in @ ( sK261_SY352 @ SV218 @ SV1 ) @ ( sK125_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3658]) ).
thf(3980,plain,
! [SV1: $i,SV218: $i] :
( ( ( ( SV218
= ( sK261_SY352 @ SV218 @ SV1 ) )
| ( in @ SV218 @ ( sK261_SY352 @ SV218 @ SV1 ) ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3658]) ).
thf(3981,plain,
! [SV1: $i,SV220: $i] :
( ( ( ~ ( in @ ( sK262_SY353 @ SV220 @ SV1 ) @ ( sK126_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3660]) ).
thf(3982,plain,
! [SV1: $i,SV220: $i] :
( ( ( ( SV220
= ( sK262_SY353 @ SV220 @ SV1 ) )
| ( in @ SV220 @ ( sK262_SY353 @ SV220 @ SV1 ) ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3660]) ).
thf(3983,plain,
! [SV1: $i,SV222: $i] :
( ( ( ~ ( in @ ( sK263_SY354 @ SV222 @ SV1 ) @ ( sK127_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3662]) ).
thf(3984,plain,
! [SV1: $i,SV222: $i] :
( ( ( ( SV222
= ( sK263_SY354 @ SV222 @ SV1 ) )
| ( in @ SV222 @ ( sK263_SY354 @ SV222 @ SV1 ) ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3662]) ).
thf(3985,plain,
! [SV1: $i,SV170: $i] :
( ( ( in @ ( sK250_SY315 @ SV170 @ SV1 ) @ ( sK112_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3663]) ).
thf(3986,plain,
! [SV1: $i,SV170: $i] :
( ( ( SV170
= ( sK250_SY315 @ SV170 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3664]) ).
thf(3987,plain,
! [SV1: $i,SV170: $i] :
( ( ( in @ SV170 @ ( sK250_SY315 @ SV170 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3664]) ).
thf(3988,plain,
! [SV1: $i,SV172: $i] :
( ( ( in @ ( sK251_SY316 @ SV172 @ SV1 ) @ ( sK113_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3665]) ).
thf(3989,plain,
! [SV1: $i,SV172: $i] :
( ( ( SV172
= ( sK251_SY316 @ SV172 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3666]) ).
thf(3990,plain,
! [SV1: $i,SV172: $i] :
( ( ( in @ SV172 @ ( sK251_SY316 @ SV172 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3666]) ).
thf(3991,plain,
! [SV1: $i,SV174: $i] :
( ( ( in @ ( sK252_SY317 @ SV174 @ SV1 ) @ ( sK114_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3667]) ).
thf(3992,plain,
! [SV1: $i,SV174: $i] :
( ( ( SV174
= ( sK252_SY317 @ SV174 @ SV1 ) )
= $false )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3668]) ).
thf(3993,plain,
! [SV1: $i,SV174: $i] :
( ( ( in @ SV174 @ ( sK252_SY317 @ SV174 @ SV1 ) )
= $false )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3668]) ).
thf(3994,plain,
! [SV1: $i,SV176: $i] :
( ( ( in @ ( sK253_SY318 @ SV176 @ SV1 ) @ ( sK115_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3669]) ).
thf(3995,plain,
! [SV1: $i,SV176: $i] :
( ( ( SV176
= ( sK253_SY318 @ SV176 @ SV1 ) )
= $false )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3670]) ).
thf(3996,plain,
! [SV1: $i,SV176: $i] :
( ( ( in @ SV176 @ ( sK253_SY318 @ SV176 @ SV1 ) )
= $false )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3670]) ).
thf(3997,plain,
! [SV1: $i,SV397: $i,SV345: $i] :
( ( ( in @ SV345 @ SV397 )
= $false )
| ( ( in @ SV345 @ SV1 )
= $true )
| ( ( in @ SV397 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK140_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3671]) ).
thf(3998,plain,
! [SV1: $i,SV284: $i] :
( ( ( ~ ( in @ ( sK272_SY409 @ SV284 @ SV1 ) @ ( sK140_SY8 @ SV1 ) )
| ( SV284
= ( sK272_SY409 @ SV284 @ SV1 ) )
| ( in @ SV284 @ ( sK272_SY409 @ SV284 @ SV1 ) ) )
= $false )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3672]) ).
thf(3999,plain,
! [SV1: $i,SV398: $i,SV346: $i] :
( ( ( in @ SV346 @ SV398 )
= $false )
| ( ( in @ SV346 @ SV1 )
= $true )
| ( ( in @ SV398 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK141_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3673]) ).
thf(4000,plain,
! [SV1: $i,SV286: $i] :
( ( ( ~ ( in @ ( sK273_SY410 @ SV286 @ SV1 ) @ ( sK141_SY8 @ SV1 ) )
| ( SV286
= ( sK273_SY410 @ SV286 @ SV1 ) )
| ( in @ SV286 @ ( sK273_SY410 @ SV286 @ SV1 ) ) )
= $false )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3674]) ).
thf(4001,plain,
! [SV1: $i,SV453: $i,SV399: $i] :
( ( ( ~ ( in @ SV399 @ SV453 ) )
= $true )
| ( ( in @ SV399 @ SV1 )
= $true )
| ( ( in @ SV453 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK164_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3676]) ).
thf(4002,plain,
! [SV348: $i,SV1: $i] :
( ( ( ! [SY479: $i] :
( ~ ( in @ SY479 @ ( sK164_SY8 @ SV1 ) )
| ( SV348 = SY479 )
| ( in @ SV348 @ SY479 ) ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3677]) ).
thf(4003,plain,
! [SV1: $i,SV454: $i,SV400: $i] :
( ( ( ~ ( in @ SV400 @ SV454 ) )
= $true )
| ( ( in @ SV400 @ SV1 )
= $true )
| ( ( in @ SV454 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK165_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3679]) ).
thf(4004,plain,
! [SV350: $i,SV1: $i] :
( ( ( ! [SY480: $i] :
( ~ ( in @ SY480 @ ( sK165_SY8 @ SV1 ) )
| ( SV350 = SY480 )
| ( in @ SV350 @ SY480 ) ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3680]) ).
thf(4005,plain,
! [SV1: $i,SV455: $i,SV401: $i] :
( ( ( ~ ( in @ SV401 @ SV455 ) )
= $true )
| ( ( in @ SV401 @ SV1 )
= $true )
| ( ( in @ SV455 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK166_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3682]) ).
thf(4006,plain,
! [SV352: $i,SV1: $i] :
( ( ( ! [SY481: $i] :
( ~ ( in @ SY481 @ ( sK166_SY8 @ SV1 ) )
| ( SV352 = SY481 )
| ( in @ SV352 @ SY481 ) ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3683]) ).
thf(4007,plain,
! [SV1: $i,SV456: $i,SV402: $i] :
( ( ( ~ ( in @ SV402 @ SV456 ) )
= $true )
| ( ( in @ SV402 @ SV1 )
= $true )
| ( ( in @ SV456 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK167_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3685]) ).
thf(4008,plain,
! [SV354: $i,SV1: $i] :
( ( ( ! [SY482: $i] :
( ~ ( in @ SY482 @ ( sK167_SY8 @ SV1 ) )
| ( SV354 = SY482 )
| ( in @ SV354 @ SY482 ) ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3686]) ).
thf(4009,plain,
! [SV1: $i,SV403: $i,SV355: $i] :
( ( ( in @ SV355 @ SV403 )
= $false )
| ( ( in @ SV355 @ SV1 )
= $true )
| ( ( in @ SV403 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ( sK142_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3687]) ).
thf(4010,plain,
! [SV1: $i,SV292: $i] :
( ( ( ~ ( in @ ( sK274_SY415 @ SV292 @ SV1 ) @ ( sK142_SY8 @ SV1 ) )
| ( SV292
= ( sK274_SY415 @ SV292 @ SV1 ) )
| ( in @ SV292 @ ( sK274_SY415 @ SV292 @ SV1 ) ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3688]) ).
thf(4011,plain,
! [SV1: $i,SV404: $i,SV356: $i] :
( ( ( in @ SV356 @ SV404 )
= $false )
| ( ( in @ SV356 @ SV1 )
= $true )
| ( ( in @ SV404 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( ( sK143_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3689]) ).
thf(4012,plain,
! [SV1: $i,SV294: $i] :
( ( ( ~ ( in @ ( sK275_SY416 @ SV294 @ SV1 ) @ ( sK143_SY8 @ SV1 ) )
| ( SV294
= ( sK275_SY416 @ SV294 @ SV1 ) )
| ( in @ SV294 @ ( sK275_SY416 @ SV294 @ SV1 ) ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3690]) ).
thf(4013,plain,
! [SV1: $i,SV405: $i,SV357: $i] :
( ( ( in @ SV357 @ SV405 )
= $false )
| ( ( in @ SV357 @ SV1 )
= $true )
| ( ( in @ SV405 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK180_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3691]) ).
thf(4014,plain,
! [SV457: $i,SV1: $i,SV513: $i] :
( ( ( in @ SV513 @ SV1 )
= $false )
| ( ( ~ ( in @ SV457 @ SV513 )
| ( in @ SV457 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK180_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3692]) ).
thf(4015,plain,
! [SV1: $i,SV406: $i] :
( ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY529: $i] :
( ~ ( in @ SY529 @ ( sK180_SY8 @ SV1 ) )
| ( SV406 = SY529 )
| ( in @ SV406 @ SY529 ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3693]) ).
thf(4016,plain,
! [SV1: $i,SV407: $i,SV358: $i] :
( ( ( in @ SV358 @ SV407 )
= $false )
| ( ( in @ SV358 @ SV1 )
= $true )
| ( ( in @ SV407 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK181_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3694]) ).
thf(4017,plain,
! [SV458: $i,SV1: $i,SV514: $i] :
( ( ( in @ SV514 @ SV1 )
= $false )
| ( ( ~ ( in @ SV458 @ SV514 )
| ( in @ SV458 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK181_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3695]) ).
thf(4018,plain,
! [SV1: $i,SV408: $i] :
( ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY530: $i] :
( ~ ( in @ SY530 @ ( sK181_SY8 @ SV1 ) )
| ( SV408 = SY530 )
| ( in @ SV408 @ SY530 ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3696]) ).
thf(4019,plain,
! [SV459: $i,SV1: $i,SV515: $i] :
( ( ( in @ SV515 @ SV1 )
= $false )
| ( ( ~ ( in @ SV459 @ SV515 )
| ( in @ SV459 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK196_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3697]) ).
thf(4020,plain,
! [SV601: $i,SV1: $i,SV701: $i] :
( ( ( ~ ( in @ SV701 @ SV1 )
| ~ ( in @ SV601 @ SV701 )
| ( in @ SV601 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK196_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3698]) ).
thf(4021,plain,
! [SV1: $i,SV516: $i] :
( ( ( ~ ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
| ~ ! [SY589: $i] :
( ~ ( in @ SY589 @ ( sK196_SY8 @ SV1 ) )
| ( SV516 = SY589 )
| ( in @ SV516 @ SY589 ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3699]) ).
thf(4022,plain,
! [SV460: $i,SV1: $i,SV517: $i] :
( ( ( in @ SV517 @ SV1 )
= $false )
| ( ( ~ ( in @ SV460 @ SV517 )
| ( in @ SV460 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK197_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3700]) ).
thf(4023,plain,
! [SV602: $i,SV1: $i,SV702: $i] :
( ( ( ~ ( in @ SV702 @ SV1 )
| ~ ( in @ SV602 @ SV702 )
| ( in @ SV602 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK197_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3701]) ).
thf(4024,plain,
! [SV1: $i,SV518: $i] :
( ( ( ~ ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
| ~ ! [SY590: $i] :
( ~ ( in @ SY590 @ ( sK197_SY8 @ SV1 ) )
| ( SV518 = SY590 )
| ( in @ SV518 @ SY590 ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3702]) ).
thf(4025,plain,
! [SV519: $i,SV1: $i,SV603: $i] :
( ( ( ~ ( in @ SV603 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV519 @ SV603 )
| ( in @ SV519 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK212_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3703]) ).
thf(4026,plain,
! [SV703: $i,SV1: $i] :
( ( ( ! [SY705: $i] :
( ~ ( in @ SY705 @ SV1 )
| ~ ( in @ SV703 @ SY705 )
| ( in @ SV703 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK212_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3704]) ).
thf(4027,plain,
! [SV1: $i,SV604: $i] :
( ( ( ~ ( ~ ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
| ~ ! [SY659: $i] :
( ~ ( in @ SY659 @ ( sK212_SY8 @ SV1 ) )
| ( SV604 = SY659 )
| ( in @ SV604 @ SY659 ) ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3705]) ).
thf(4028,plain,
! [SV520: $i,SV1: $i,SV605: $i] :
( ( ( ~ ( in @ SV605 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV520 @ SV605 )
| ( in @ SV520 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK213_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3706]) ).
thf(4029,plain,
! [SV704: $i,SV1: $i] :
( ( ( ! [SY706: $i] :
( ~ ( in @ SY706 @ SV1 )
| ~ ( in @ SV704 @ SY706 )
| ( in @ SV704 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK213_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3707]) ).
thf(4030,plain,
! [SV1: $i,SV606: $i] :
( ( ( ~ ( ~ ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
| ~ ! [SY660: $i] :
( ~ ( in @ SY660 @ ( sK213_SY8 @ SV1 ) )
| ( SV606 = SY660 )
| ( in @ SV606 @ SY660 ) ) ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3708]) ).
thf(4031,plain,
! [SV521: $i,SV1: $i,SV607: $i] :
( ( ( ~ ( in @ SV607 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV521 @ SV607 )
| ( in @ SV521 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK214_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3709]) ).
thf(4032,plain,
! [SV705: $i,SV1: $i] :
( ( ( ! [SY707: $i] :
( ~ ( in @ SY707 @ SV1 )
| ~ ( in @ SV705 @ SY707 )
| ( in @ SV705 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK214_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3710]) ).
thf(4033,plain,
! [SV1: $i,SV608: $i] :
( ( ( ~ ( ~ ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
| ~ ! [SY661: $i] :
( ~ ( in @ SY661 @ ( sK214_SY8 @ SV1 ) )
| ( SV608 = SY661 )
| ( in @ SV608 @ SY661 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3711]) ).
thf(4034,plain,
! [SV522: $i,SV1: $i,SV609: $i] :
( ( ( ~ ( in @ SV609 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV522 @ SV609 )
| ( in @ SV522 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK215_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3712]) ).
thf(4035,plain,
! [SV706: $i,SV1: $i] :
( ( ( ! [SY708: $i] :
( ~ ( in @ SY708 @ SV1 )
| ~ ( in @ SV706 @ SY708 )
| ( in @ SV706 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK215_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3713]) ).
thf(4036,plain,
! [SV1: $i,SV610: $i] :
( ( ( ~ ( ~ ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
| ~ ! [SY662: $i] :
( ~ ( in @ SY662 @ ( sK215_SY8 @ SV1 ) )
| ( SV610 = SY662 )
| ( in @ SV610 @ SY662 ) ) ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3714]) ).
thf(4037,plain,
! [SV461: $i,SV1: $i,SV523: $i] :
( ( ( in @ SV523 @ SV1 )
= $false )
| ( ( ~ ( in @ SV461 @ SV523 )
| ( in @ SV461 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK198_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3715]) ).
thf(4038,plain,
! [SV611: $i,SV1: $i,SV707: $i] :
( ( ( ~ ( in @ SV707 @ SV1 )
| ~ ( in @ SV611 @ SV707 )
| ( in @ SV611 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ( sK198_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3716]) ).
thf(4039,plain,
! [SV1: $i,SV524: $i] :
( ( ( ~ ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
| ~ ! [SY595: $i] :
( ~ ( in @ SY595 @ ( sK198_SY8 @ SV1 ) )
| ( SV524 = SY595 )
| ( in @ SV524 @ SY595 ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3717]) ).
thf(4040,plain,
! [SV462: $i,SV1: $i,SV525: $i] :
( ( ( in @ SV525 @ SV1 )
= $false )
| ( ( ~ ( in @ SV462 @ SV525 )
| ( in @ SV462 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK199_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3718]) ).
thf(4041,plain,
! [SV612: $i,SV1: $i,SV708: $i] :
( ( ( ~ ( in @ SV708 @ SV1 )
| ~ ( in @ SV612 @ SV708 )
| ( in @ SV612 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ( sK199_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3719]) ).
thf(4042,plain,
! [SV1: $i,SV526: $i] :
( ( ( ~ ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
| ~ ! [SY596: $i] :
( ~ ( in @ SY596 @ ( sK199_SY8 @ SV1 ) )
| ( SV526 = SY596 )
| ( in @ SV526 @ SY596 ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3720]) ).
thf(4043,plain,
! [SV1: $i,SV409: $i,SV359: $i] :
( ( ( in @ SV359 @ SV409 )
= $false )
| ( ( in @ SV359 @ SV1 )
= $true )
| ( ( in @ SV409 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK182_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3721]) ).
thf(4044,plain,
! [SV463: $i,SV1: $i,SV527: $i] :
( ( ( in @ SV527 @ SV1 )
= $false )
| ( ( ~ ( in @ SV463 @ SV527 )
| ( in @ SV463 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK182_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3722]) ).
thf(4045,plain,
! [SV1: $i,SV410: $i] :
( ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY531: $i] :
( ~ ( in @ SY531 @ ( sK182_SY8 @ SV1 ) )
| ( SV410 = SY531 )
| ( in @ SV410 @ SY531 ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3723]) ).
thf(4046,plain,
! [SV1: $i,SV411: $i,SV360: $i] :
( ( ( in @ SV360 @ SV411 )
= $false )
| ( ( in @ SV360 @ SV1 )
= $true )
| ( ( in @ SV411 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK183_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3724]) ).
thf(4047,plain,
! [SV464: $i,SV1: $i,SV528: $i] :
( ( ( in @ SV528 @ SV1 )
= $false )
| ( ( ~ ( in @ SV464 @ SV528 )
| ( in @ SV464 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK183_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3725]) ).
thf(4048,plain,
! [SV1: $i,SV412: $i] :
( ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY532: $i] :
( ~ ( in @ SY532 @ ( sK183_SY8 @ SV1 ) )
| ( SV412 = SY532 )
| ( in @ SV412 @ SY532 ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3726]) ).
thf(4049,plain,
! [SV465: $i,SV1: $i,SV529: $i] :
( ( ( in @ SV529 @ SV1 )
= $false )
| ( ( ~ ( in @ SV465 @ SV529 )
| ( in @ SV465 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK200_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3727]) ).
thf(4050,plain,
! [SV613: $i,SV1: $i,SV709: $i] :
( ( ( ~ ( in @ SV709 @ SV1 )
| ~ ( in @ SV613 @ SV709 )
| ( in @ SV613 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK200_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3728]) ).
thf(4051,plain,
! [SV1: $i,SV530: $i] :
( ( ( ~ ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
| ~ ! [SY597: $i] :
( ~ ( in @ SY597 @ ( sK200_SY8 @ SV1 ) )
| ( SV530 = SY597 )
| ( in @ SV530 @ SY597 ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3729]) ).
thf(4052,plain,
! [SV466: $i,SV1: $i,SV531: $i] :
( ( ( in @ SV531 @ SV1 )
= $false )
| ( ( ~ ( in @ SV466 @ SV531 )
| ( in @ SV466 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK201_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3730]) ).
thf(4053,plain,
! [SV614: $i,SV1: $i,SV710: $i] :
( ( ( ~ ( in @ SV710 @ SV1 )
| ~ ( in @ SV614 @ SV710 )
| ( in @ SV614 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK201_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3731]) ).
thf(4054,plain,
! [SV1: $i,SV532: $i] :
( ( ( ~ ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
| ~ ! [SY598: $i] :
( ~ ( in @ SY598 @ ( sK201_SY8 @ SV1 ) )
| ( SV532 = SY598 )
| ( in @ SV532 @ SY598 ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3732]) ).
thf(4055,plain,
! [SV533: $i,SV1: $i,SV615: $i] :
( ( ( ~ ( in @ SV615 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV533 @ SV615 )
| ( in @ SV533 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK216_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3733]) ).
thf(4056,plain,
! [SV711: $i,SV1: $i] :
( ( ( ! [SY709: $i] :
( ~ ( in @ SY709 @ SV1 )
| ~ ( in @ SV711 @ SY709 )
| ( in @ SV711 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK216_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3734]) ).
thf(4057,plain,
! [SV1: $i,SV616: $i] :
( ( ( ~ ( ~ ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
| ~ ! [SY667: $i] :
( ~ ( in @ SY667 @ ( sK216_SY8 @ SV1 ) )
| ( SV616 = SY667 )
| ( in @ SV616 @ SY667 ) ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3735]) ).
thf(4058,plain,
! [SV534: $i,SV1: $i,SV617: $i] :
( ( ( ~ ( in @ SV617 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV534 @ SV617 )
| ( in @ SV534 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK217_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3736]) ).
thf(4059,plain,
! [SV712: $i,SV1: $i] :
( ( ( ! [SY710: $i] :
( ~ ( in @ SY710 @ SV1 )
| ~ ( in @ SV712 @ SY710 )
| ( in @ SV712 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK217_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3737]) ).
thf(4060,plain,
! [SV1: $i,SV618: $i] :
( ( ( ~ ( ~ ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
| ~ ! [SY668: $i] :
( ~ ( in @ SY668 @ ( sK217_SY8 @ SV1 ) )
| ( SV618 = SY668 )
| ( in @ SV618 @ SY668 ) ) ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3738]) ).
thf(4061,plain,
! [SV535: $i,SV1: $i,SV619: $i] :
( ( ( ~ ( in @ SV619 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV535 @ SV619 )
| ( in @ SV535 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK218_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3739]) ).
thf(4062,plain,
! [SV713: $i,SV1: $i] :
( ( ( ! [SY711: $i] :
( ~ ( in @ SY711 @ SV1 )
| ~ ( in @ SV713 @ SY711 )
| ( in @ SV713 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK218_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3740]) ).
thf(4063,plain,
! [SV1: $i,SV620: $i] :
( ( ( ~ ( ~ ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
| ~ ! [SY669: $i] :
( ~ ( in @ SY669 @ ( sK218_SY8 @ SV1 ) )
| ( SV620 = SY669 )
| ( in @ SV620 @ SY669 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3741]) ).
thf(4064,plain,
! [SV536: $i,SV1: $i,SV621: $i] :
( ( ( ~ ( in @ SV621 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV536 @ SV621 )
| ( in @ SV536 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK219_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3742]) ).
thf(4065,plain,
! [SV714: $i,SV1: $i] :
( ( ( ! [SY712: $i] :
( ~ ( in @ SY712 @ SV1 )
| ~ ( in @ SV714 @ SY712 )
| ( in @ SV714 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK219_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3743]) ).
thf(4066,plain,
! [SV1: $i,SV622: $i] :
( ( ( ~ ( ~ ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
| ~ ! [SY670: $i] :
( ~ ( in @ SY670 @ ( sK219_SY8 @ SV1 ) )
| ( SV622 = SY670 )
| ( in @ SV622 @ SY670 ) ) ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3744]) ).
thf(4067,plain,
! [SV467: $i,SV1: $i,SV537: $i] :
( ( ( in @ SV537 @ SV1 )
= $false )
| ( ( ~ ( in @ SV467 @ SV537 )
| ( in @ SV467 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK202_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3745]) ).
thf(4068,plain,
! [SV623: $i,SV1: $i,SV715: $i] :
( ( ( ~ ( in @ SV715 @ SV1 )
| ~ ( in @ SV623 @ SV715 )
| ( in @ SV623 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ( sK202_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3746]) ).
thf(4069,plain,
! [SV1: $i,SV538: $i] :
( ( ( ~ ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
| ~ ! [SY603: $i] :
( ~ ( in @ SY603 @ ( sK202_SY8 @ SV1 ) )
| ( SV538 = SY603 )
| ( in @ SV538 @ SY603 ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3747]) ).
thf(4070,plain,
! [SV468: $i,SV1: $i,SV539: $i] :
( ( ( in @ SV539 @ SV1 )
= $false )
| ( ( ~ ( in @ SV468 @ SV539 )
| ( in @ SV468 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK203_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3748]) ).
thf(4071,plain,
! [SV624: $i,SV1: $i,SV716: $i] :
( ( ( ~ ( in @ SV716 @ SV1 )
| ~ ( in @ SV624 @ SV716 )
| ( in @ SV624 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ( sK203_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3749]) ).
thf(4072,plain,
! [SV1: $i,SV540: $i] :
( ( ( ~ ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
| ~ ! [SY604: $i] :
( ~ ( in @ SY604 @ ( sK203_SY8 @ SV1 ) )
| ( SV540 = SY604 )
| ( in @ SV540 @ SY604 ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3750]) ).
thf(4073,plain,
! [SV1: $i,SV178: $i] :
( ( ( in @ ( sK254_SY327 @ SV178 @ SV1 ) @ ( sK118_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3751]) ).
thf(4074,plain,
! [SV1: $i,SV178: $i] :
( ( ( SV178
= ( sK254_SY327 @ SV178 @ SV1 ) )
= $false )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3752]) ).
thf(4075,plain,
! [SV1: $i,SV178: $i] :
( ( ( in @ SV178 @ ( sK254_SY327 @ SV178 @ SV1 ) )
= $false )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3752]) ).
thf(4076,plain,
! [SV1: $i,SV180: $i] :
( ( ( in @ ( sK255_SY328 @ SV180 @ SV1 ) @ ( sK119_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3753]) ).
thf(4077,plain,
! [SV1: $i,SV180: $i] :
( ( ( SV180
= ( sK255_SY328 @ SV180 @ SV1 ) )
= $false )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3754]) ).
thf(4078,plain,
! [SV1: $i,SV180: $i] :
( ( ( in @ SV180 @ ( sK255_SY328 @ SV180 @ SV1 ) )
= $false )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3754]) ).
thf(4079,plain,
! [SV1: $i,SV413: $i,SV361: $i] :
( ( ( in @ SV361 @ SV413 )
= $false )
| ( ( in @ SV361 @ SV1 )
= $true )
| ( ( in @ SV413 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK148_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3755]) ).
thf(4080,plain,
! [SV1: $i,SV298: $i] :
( ( ( ~ ( in @ ( sK276_SY433 @ SV298 @ SV1 ) @ ( sK148_SY8 @ SV1 ) )
| ( SV298
= ( sK276_SY433 @ SV298 @ SV1 ) )
| ( in @ SV298 @ ( sK276_SY433 @ SV298 @ SV1 ) ) )
= $false )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3756]) ).
thf(4081,plain,
! [SV1: $i,SV414: $i,SV362: $i] :
( ( ( in @ SV362 @ SV414 )
= $false )
| ( ( in @ SV362 @ SV1 )
= $true )
| ( ( in @ SV414 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK149_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3757]) ).
thf(4082,plain,
! [SV1: $i,SV300: $i] :
( ( ( ~ ( in @ ( sK277_SY434 @ SV300 @ SV1 ) @ ( sK149_SY8 @ SV1 ) )
| ( SV300
= ( sK277_SY434 @ SV300 @ SV1 ) )
| ( in @ SV300 @ ( sK277_SY434 @ SV300 @ SV1 ) ) )
= $false )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3758]) ).
thf(4083,plain,
! [SV1: $i,SV469: $i,SV415: $i] :
( ( ( ~ ( in @ SV415 @ SV469 ) )
= $true )
| ( ( in @ SV415 @ SV1 )
= $true )
| ( ( in @ SV469 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK172_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3760]) ).
thf(4084,plain,
! [SV364: $i,SV1: $i] :
( ( ( ! [SY507: $i] :
( ~ ( in @ SY507 @ ( sK172_SY8 @ SV1 ) )
| ( SV364 = SY507 )
| ( in @ SV364 @ SY507 ) ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3761]) ).
thf(4085,plain,
! [SV1: $i,SV470: $i,SV416: $i] :
( ( ( ~ ( in @ SV416 @ SV470 ) )
= $true )
| ( ( in @ SV416 @ SV1 )
= $true )
| ( ( in @ SV470 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK173_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3763]) ).
thf(4086,plain,
! [SV366: $i,SV1: $i] :
( ( ( ! [SY508: $i] :
( ~ ( in @ SY508 @ ( sK173_SY8 @ SV1 ) )
| ( SV366 = SY508 )
| ( in @ SV366 @ SY508 ) ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3764]) ).
thf(4087,plain,
! [SV1: $i,SV471: $i,SV417: $i] :
( ( ( ~ ( in @ SV417 @ SV471 ) )
= $true )
| ( ( in @ SV417 @ SV1 )
= $true )
| ( ( in @ SV471 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK174_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3766]) ).
thf(4088,plain,
! [SV368: $i,SV1: $i] :
( ( ( ! [SY509: $i] :
( ~ ( in @ SY509 @ ( sK174_SY8 @ SV1 ) )
| ( SV368 = SY509 )
| ( in @ SV368 @ SY509 ) ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3767]) ).
thf(4089,plain,
! [SV1: $i,SV472: $i,SV418: $i] :
( ( ( ~ ( in @ SV418 @ SV472 ) )
= $true )
| ( ( in @ SV418 @ SV1 )
= $true )
| ( ( in @ SV472 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK175_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3769]) ).
thf(4090,plain,
! [SV370: $i,SV1: $i] :
( ( ( ! [SY510: $i] :
( ~ ( in @ SY510 @ ( sK175_SY8 @ SV1 ) )
| ( SV370 = SY510 )
| ( in @ SV370 @ SY510 ) ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3770]) ).
thf(4091,plain,
! [SV1: $i,SV419: $i,SV371: $i] :
( ( ( in @ SV371 @ SV419 )
= $false )
| ( ( in @ SV371 @ SV1 )
= $true )
| ( ( in @ SV419 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ( sK150_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3771]) ).
thf(4092,plain,
! [SV1: $i,SV306: $i] :
( ( ( ~ ( in @ ( sK278_SY439 @ SV306 @ SV1 ) @ ( sK150_SY8 @ SV1 ) )
| ( SV306
= ( sK278_SY439 @ SV306 @ SV1 ) )
| ( in @ SV306 @ ( sK278_SY439 @ SV306 @ SV1 ) ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3772]) ).
thf(4093,plain,
! [SV1: $i,SV420: $i,SV372: $i] :
( ( ( in @ SV372 @ SV420 )
= $false )
| ( ( in @ SV372 @ SV1 )
= $true )
| ( ( in @ SV420 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( ( sK151_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3773]) ).
thf(4094,plain,
! [SV1: $i,SV308: $i] :
( ( ( ~ ( in @ ( sK279_SY440 @ SV308 @ SV1 ) @ ( sK151_SY8 @ SV1 ) )
| ( SV308
= ( sK279_SY440 @ SV308 @ SV1 ) )
| ( in @ SV308 @ ( sK279_SY440 @ SV308 @ SV1 ) ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3774]) ).
thf(4095,plain,
! [SV18: $i,SV1: $i,SV473: $i,SV421: $i] :
( ( ( ~ ( in @ SV421 @ SV473 ) )
= $true )
| ( ( in @ SV421 @ SV1 )
= $true )
| ( ( in @ SV473 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK184_SY93 @ SV18 @ SV1 ) @ ( sK40_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3775]) ).
thf(4096,plain,
! [SV18: $i,SV1: $i,SV474: $i,SV422: $i] :
( ( ( ~ ( in @ SV422 @ SV474 ) )
= $true )
| ( ( in @ SV422 @ SV1 )
= $true )
| ( ( in @ SV474 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( SV18
= ( sK184_SY93 @ SV18 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3776]) ).
thf(4097,plain,
! [SV18: $i,SV1: $i,SV475: $i,SV423: $i] :
( ( ( ~ ( in @ SV423 @ SV475 ) )
= $true )
| ( ( in @ SV423 @ SV1 )
= $true )
| ( ( in @ SV475 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV18 @ ( sK184_SY93 @ SV18 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3777]) ).
thf(4098,plain,
! [SV20: $i,SV1: $i,SV476: $i,SV424: $i] :
( ( ( ~ ( in @ SV424 @ SV476 ) )
= $true )
| ( ( in @ SV424 @ SV1 )
= $true )
| ( ( in @ SV476 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK185_SY94 @ SV20 @ SV1 ) @ ( sK41_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3778]) ).
thf(4099,plain,
! [SV20: $i,SV1: $i,SV477: $i,SV425: $i] :
( ( ( ~ ( in @ SV425 @ SV477 ) )
= $true )
| ( ( in @ SV425 @ SV1 )
= $true )
| ( ( in @ SV477 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( SV20
= ( sK185_SY94 @ SV20 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3779]) ).
thf(4100,plain,
! [SV20: $i,SV1: $i,SV478: $i,SV426: $i] :
( ( ( ~ ( in @ SV426 @ SV478 ) )
= $true )
| ( ( in @ SV426 @ SV1 )
= $true )
| ( ( in @ SV478 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV20 @ ( sK185_SY94 @ SV20 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3780]) ).
thf(4101,plain,
! [SV44: $i,SV541: $i,SV1: $i,SV625: $i] :
( ( ( ~ ( in @ SV625 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV541 @ SV625 )
| ( in @ SV541 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK220_SY161 @ SV44 @ SV1 ) @ ( sK60_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3781]) ).
thf(4102,plain,
! [SV44: $i,SV542: $i,SV1: $i,SV626: $i] :
( ( ( ~ ( in @ SV626 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV542 @ SV626 )
| ( in @ SV542 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( SV44
= ( sK220_SY161 @ SV44 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3782]) ).
thf(4103,plain,
! [SV44: $i,SV543: $i,SV1: $i,SV627: $i] :
( ( ( ~ ( in @ SV627 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV543 @ SV627 )
| ( in @ SV543 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV44 @ ( sK220_SY161 @ SV44 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3783]) ).
thf(4104,plain,
! [SV46: $i,SV544: $i,SV1: $i,SV628: $i] :
( ( ( ~ ( in @ SV628 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV544 @ SV628 )
| ( in @ SV544 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK221_SY162 @ SV46 @ SV1 ) @ ( sK61_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3784]) ).
thf(4105,plain,
! [SV46: $i,SV545: $i,SV1: $i,SV629: $i] :
( ( ( ~ ( in @ SV629 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV545 @ SV629 )
| ( in @ SV545 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( SV46
= ( sK221_SY162 @ SV46 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3785]) ).
thf(4106,plain,
! [SV46: $i,SV546: $i,SV1: $i,SV630: $i] :
( ( ( ~ ( in @ SV630 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV546 @ SV630 )
| ( in @ SV546 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV46 @ ( sK221_SY162 @ SV46 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3786]) ).
thf(4107,plain,
! [SV80: $i,SV631: $i,SV1: $i,SV717: $i] :
( ( ( ~ ( in @ SV717 @ SV1 )
| ~ ( in @ SV631 @ SV717 )
| ( in @ SV631 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK232_SY215 @ SV80 @ SV1 ) @ ( sK84_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3787]) ).
thf(4108,plain,
! [SV80: $i,SV632: $i,SV1: $i,SV718: $i] :
( ( ( ~ ( in @ SV718 @ SV1 )
| ~ ( in @ SV632 @ SV718 )
| ( in @ SV632 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( SV80
= ( sK232_SY215 @ SV80 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3788]) ).
thf(4109,plain,
! [SV80: $i,SV633: $i,SV1: $i,SV719: $i] :
( ( ( ~ ( in @ SV719 @ SV1 )
| ~ ( in @ SV633 @ SV719 )
| ( in @ SV633 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK232_SY215 @ SV80 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3789]) ).
thf(4110,plain,
! [SV82: $i,SV634: $i,SV1: $i,SV720: $i] :
( ( ( ~ ( in @ SV720 @ SV1 )
| ~ ( in @ SV634 @ SV720 )
| ( in @ SV634 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK233_SY216 @ SV82 @ SV1 ) @ ( sK85_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3790]) ).
thf(4111,plain,
! [SV82: $i,SV635: $i,SV1: $i,SV721: $i] :
( ( ( ~ ( in @ SV721 @ SV1 )
| ~ ( in @ SV635 @ SV721 )
| ( in @ SV635 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( SV82
= ( sK233_SY216 @ SV82 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3791]) ).
thf(4112,plain,
! [SV82: $i,SV636: $i,SV1: $i,SV722: $i] :
( ( ( ~ ( in @ SV722 @ SV1 )
| ~ ( in @ SV636 @ SV722 )
| ( in @ SV636 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK233_SY216 @ SV82 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3792]) ).
thf(4113,plain,
! [SV84: $i,SV637: $i,SV1: $i,SV723: $i] :
( ( ( ~ ( in @ SV723 @ SV1 )
| ~ ( in @ SV637 @ SV723 )
| ( in @ SV637 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK234_SY217 @ SV84 @ SV1 ) @ ( sK86_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3793]) ).
thf(4114,plain,
! [SV84: $i,SV638: $i,SV1: $i,SV724: $i] :
( ( ( ~ ( in @ SV724 @ SV1 )
| ~ ( in @ SV638 @ SV724 )
| ( in @ SV638 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( SV84
= ( sK234_SY217 @ SV84 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3794]) ).
thf(4115,plain,
! [SV84: $i,SV639: $i,SV1: $i,SV725: $i] :
( ( ( ~ ( in @ SV725 @ SV1 )
| ~ ( in @ SV639 @ SV725 )
| ( in @ SV639 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK234_SY217 @ SV84 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3795]) ).
thf(4116,plain,
! [SV86: $i,SV640: $i,SV1: $i,SV726: $i] :
( ( ( ~ ( in @ SV726 @ SV1 )
| ~ ( in @ SV640 @ SV726 )
| ( in @ SV640 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK235_SY218 @ SV86 @ SV1 ) @ ( sK87_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3796]) ).
thf(4117,plain,
! [SV86: $i,SV641: $i,SV1: $i,SV727: $i] :
( ( ( ~ ( in @ SV727 @ SV1 )
| ~ ( in @ SV641 @ SV727 )
| ( in @ SV641 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( SV86
= ( sK235_SY218 @ SV86 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3797]) ).
thf(4118,plain,
! [SV86: $i,SV642: $i,SV1: $i,SV728: $i] :
( ( ( ~ ( in @ SV728 @ SV1 )
| ~ ( in @ SV642 @ SV728 )
| ( in @ SV642 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK235_SY218 @ SV86 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3798]) ).
thf(4119,plain,
! [SV52: $i,SV547: $i,SV1: $i,SV643: $i] :
( ( ( ~ ( in @ SV643 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV547 @ SV643 )
| ( in @ SV547 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK222_SY167 @ SV52 @ SV1 ) @ ( sK62_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3799]) ).
thf(4120,plain,
! [SV52: $i,SV548: $i,SV1: $i,SV644: $i] :
( ( ( ~ ( in @ SV644 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV548 @ SV644 )
| ( in @ SV548 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( SV52
= ( sK222_SY167 @ SV52 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3800]) ).
thf(4121,plain,
! [SV52: $i,SV549: $i,SV1: $i,SV645: $i] :
( ( ( ~ ( in @ SV645 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV549 @ SV645 )
| ( in @ SV549 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK222_SY167 @ SV52 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3801]) ).
thf(4122,plain,
! [SV54: $i,SV550: $i,SV1: $i,SV646: $i] :
( ( ( ~ ( in @ SV646 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV550 @ SV646 )
| ( in @ SV550 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK223_SY168 @ SV54 @ SV1 ) @ ( sK63_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3802]) ).
thf(4123,plain,
! [SV54: $i,SV551: $i,SV1: $i,SV647: $i] :
( ( ( ~ ( in @ SV647 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV551 @ SV647 )
| ( in @ SV551 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( SV54
= ( sK223_SY168 @ SV54 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3803]) ).
thf(4124,plain,
! [SV54: $i,SV552: $i,SV1: $i,SV648: $i] :
( ( ( ~ ( in @ SV648 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV552 @ SV648 )
| ( in @ SV552 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK223_SY168 @ SV54 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3804]) ).
thf(4125,plain,
! [SV56: $i,SV553: $i,SV1: $i,SV649: $i] :
( ( ( ~ ( in @ SV649 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV553 @ SV649 )
| ( in @ SV553 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK224_SY169 @ SV56 @ SV1 ) @ ( sK64_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3805]) ).
thf(4126,plain,
! [SV56: $i,SV554: $i,SV1: $i,SV650: $i] :
( ( ( ~ ( in @ SV650 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV554 @ SV650 )
| ( in @ SV554 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( SV56
= ( sK224_SY169 @ SV56 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3806]) ).
thf(4127,plain,
! [SV56: $i,SV555: $i,SV1: $i,SV651: $i] :
( ( ( ~ ( in @ SV651 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV555 @ SV651 )
| ( in @ SV555 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV56 @ ( sK224_SY169 @ SV56 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3807]) ).
thf(4128,plain,
! [SV58: $i,SV556: $i,SV1: $i,SV652: $i] :
( ( ( ~ ( in @ SV652 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV556 @ SV652 )
| ( in @ SV556 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK225_SY170 @ SV58 @ SV1 ) @ ( sK65_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3808]) ).
thf(4129,plain,
! [SV58: $i,SV557: $i,SV1: $i,SV653: $i] :
( ( ( ~ ( in @ SV653 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV557 @ SV653 )
| ( in @ SV557 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( SV58
= ( sK225_SY170 @ SV58 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3809]) ).
thf(4130,plain,
! [SV58: $i,SV558: $i,SV1: $i,SV654: $i] :
( ( ( ~ ( in @ SV654 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV558 @ SV654 )
| ( in @ SV558 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV58 @ ( sK225_SY170 @ SV58 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3810]) ).
thf(4131,plain,
! [SV132: $i,SV729: $i,SV1: $i] :
( ( ( ! [SY713: $i] :
( ~ ( in @ SY713 @ SV1 )
| ~ ( in @ SV729 @ SY713 )
| ( in @ SV729 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK240_SY285 @ SV132 @ SV1 ) @ ( sK100_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3811]) ).
thf(4132,plain,
! [SV132: $i,SV730: $i,SV1: $i] :
( ( ( ! [SY714: $i] :
( ~ ( in @ SY714 @ SV1 )
| ~ ( in @ SV730 @ SY714 )
| ( in @ SV730 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( SV132
= ( sK240_SY285 @ SV132 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3812]) ).
thf(4133,plain,
! [SV132: $i,SV731: $i,SV1: $i] :
( ( ( ! [SY715: $i] :
( ~ ( in @ SY715 @ SV1 )
| ~ ( in @ SV731 @ SY715 )
| ( in @ SV731 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV132 @ ( sK240_SY285 @ SV132 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3813]) ).
thf(4134,plain,
! [SV134: $i,SV732: $i,SV1: $i] :
( ( ( ! [SY716: $i] :
( ~ ( in @ SY716 @ SV1 )
| ~ ( in @ SV732 @ SY716 )
| ( in @ SV732 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK241_SY286 @ SV134 @ SV1 ) @ ( sK101_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3814]) ).
thf(4135,plain,
! [SV134: $i,SV733: $i,SV1: $i] :
( ( ( ! [SY717: $i] :
( ~ ( in @ SY717 @ SV1 )
| ~ ( in @ SV733 @ SY717 )
| ( in @ SV733 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( SV134
= ( sK241_SY286 @ SV134 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3815]) ).
thf(4136,plain,
! [SV134: $i,SV734: $i,SV1: $i] :
( ( ( ! [SY718: $i] :
( ~ ( in @ SY718 @ SV1 )
| ~ ( in @ SV734 @ SY718 )
| ( in @ SV734 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV134 @ ( sK241_SY286 @ SV134 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3816]) ).
thf(4137,plain,
! [SV1: $i,SV188: $i] :
( ( ( in @ ( sK256_SY331 @ SV188 @ SV1 ) @ ( sK120_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3817]) ).
thf(4138,plain,
! [SV1: $i,SV188: $i] :
( ( ( SV188
= ( sK256_SY331 @ SV188 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3818]) ).
thf(4139,plain,
! [SV1: $i,SV188: $i] :
( ( ( in @ SV188 @ ( sK256_SY331 @ SV188 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3818]) ).
thf(4140,plain,
! [SV1: $i,SV190: $i] :
( ( ( in @ ( sK257_SY332 @ SV190 @ SV1 ) @ ( sK121_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3819]) ).
thf(4141,plain,
! [SV1: $i,SV190: $i] :
( ( ( SV190
= ( sK257_SY332 @ SV190 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3820]) ).
thf(4142,plain,
! [SV1: $i,SV190: $i] :
( ( ( in @ SV190 @ ( sK257_SY332 @ SV190 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3820]) ).
thf(4143,plain,
! [SV1: $i,SV192: $i] :
( ( ( in @ ( sK258_SY333 @ SV192 @ SV1 ) @ ( sK122_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3821]) ).
thf(4144,plain,
! [SV1: $i,SV192: $i] :
( ( ( SV192
= ( sK258_SY333 @ SV192 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3822]) ).
thf(4145,plain,
! [SV1: $i,SV192: $i] :
( ( ( in @ SV192 @ ( sK258_SY333 @ SV192 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3822]) ).
thf(4146,plain,
! [SV1: $i,SV194: $i] :
( ( ( in @ ( sK259_SY334 @ SV194 @ SV1 ) @ ( sK123_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3823]) ).
thf(4147,plain,
! [SV1: $i,SV194: $i] :
( ( ( SV194
= ( sK259_SY334 @ SV194 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3824]) ).
thf(4148,plain,
! [SV1: $i,SV194: $i] :
( ( ( in @ SV194 @ ( sK259_SY334 @ SV194 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3824]) ).
thf(4149,plain,
! [SV140: $i,SV735: $i,SV1: $i] :
( ( ( ! [SY719: $i] :
( ~ ( in @ SY719 @ SV1 )
| ~ ( in @ SV735 @ SY719 )
| ( in @ SV735 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK242_SY291 @ SV140 @ SV1 ) @ ( sK102_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3825]) ).
thf(4150,plain,
! [SV140: $i,SV736: $i,SV1: $i] :
( ( ( ! [SY720: $i] :
( ~ ( in @ SY720 @ SV1 )
| ~ ( in @ SV736 @ SY720 )
| ( in @ SV736 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( SV140
= ( sK242_SY291 @ SV140 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3826]) ).
thf(4151,plain,
! [SV140: $i,SV737: $i,SV1: $i] :
( ( ( ! [SY721: $i] :
( ~ ( in @ SY721 @ SV1 )
| ~ ( in @ SV737 @ SY721 )
| ( in @ SV737 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK242_SY291 @ SV140 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3827]) ).
thf(4152,plain,
! [SV142: $i,SV738: $i,SV1: $i] :
( ( ( ! [SY722: $i] :
( ~ ( in @ SY722 @ SV1 )
| ~ ( in @ SV738 @ SY722 )
| ( in @ SV738 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK243_SY292 @ SV142 @ SV1 ) @ ( sK103_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3828]) ).
thf(4153,plain,
! [SV142: $i,SV739: $i,SV1: $i] :
( ( ( ! [SY723: $i] :
( ~ ( in @ SY723 @ SV1 )
| ~ ( in @ SV739 @ SY723 )
| ( in @ SV739 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( SV142
= ( sK243_SY292 @ SV142 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3829]) ).
thf(4154,plain,
! [SV142: $i,SV740: $i,SV1: $i] :
( ( ( ! [SY724: $i] :
( ~ ( in @ SY724 @ SV1 )
| ~ ( in @ SV740 @ SY724 )
| ( in @ SV740 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK243_SY292 @ SV142 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3830]) ).
thf(4155,plain,
! [SV144: $i,SV741: $i,SV1: $i] :
( ( ( ! [SY725: $i] :
( ~ ( in @ SY725 @ SV1 )
| ~ ( in @ SV741 @ SY725 )
| ( in @ SV741 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK244_SY293 @ SV144 @ SV1 ) @ ( sK104_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3831]) ).
thf(4156,plain,
! [SV144: $i,SV742: $i,SV1: $i] :
( ( ( ! [SY726: $i] :
( ~ ( in @ SY726 @ SV1 )
| ~ ( in @ SV742 @ SY726 )
| ( in @ SV742 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( SV144
= ( sK244_SY293 @ SV144 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3832]) ).
thf(4157,plain,
! [SV144: $i,SV743: $i,SV1: $i] :
( ( ( ! [SY727: $i] :
( ~ ( in @ SY727 @ SV1 )
| ~ ( in @ SV743 @ SY727 )
| ( in @ SV743 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV144 @ ( sK244_SY293 @ SV144 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3833]) ).
thf(4158,plain,
! [SV146: $i,SV744: $i,SV1: $i] :
( ( ( ! [SY728: $i] :
( ~ ( in @ SY728 @ SV1 )
| ~ ( in @ SV744 @ SY728 )
| ( in @ SV744 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK245_SY294 @ SV146 @ SV1 ) @ ( sK105_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3834]) ).
thf(4159,plain,
! [SV146: $i,SV745: $i,SV1: $i] :
( ( ( ! [SY729: $i] :
( ~ ( in @ SY729 @ SV1 )
| ~ ( in @ SV745 @ SY729 )
| ( in @ SV745 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( SV146
= ( sK245_SY294 @ SV146 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3835]) ).
thf(4160,plain,
! [SV146: $i,SV746: $i,SV1: $i] :
( ( ( ! [SY730: $i] :
( ~ ( in @ SY730 @ SV1 )
| ~ ( in @ SV746 @ SY730 )
| ( in @ SV746 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV146 @ ( sK245_SY294 @ SV146 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3836]) ).
thf(4161,plain,
! [SV1: $i,SV248: $i] :
( ( ( ~ ( in @ ( sK264_SY373 @ SV248 @ SV1 ) @ ( sK128_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3838]) ).
thf(4162,plain,
! [SV1: $i,SV248: $i] :
( ( ( ( SV248
= ( sK264_SY373 @ SV248 @ SV1 ) )
| ( in @ SV248 @ ( sK264_SY373 @ SV248 @ SV1 ) ) )
= $false )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3838]) ).
thf(4163,plain,
! [SV1: $i,SV250: $i] :
( ( ( ~ ( in @ ( sK265_SY374 @ SV250 @ SV1 ) @ ( sK129_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3840]) ).
thf(4164,plain,
! [SV1: $i,SV250: $i] :
( ( ( ( SV250
= ( sK265_SY374 @ SV250 @ SV1 ) )
| ( in @ SV250 @ ( sK265_SY374 @ SV250 @ SV1 ) ) )
= $false )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3840]) ).
thf(4165,plain,
! [SV1: $i,SV427: $i,SV375: $i] :
( ( ( in @ SV375 @ SV427 )
= $false )
| ( ( in @ SV375 @ SV1 )
= $true )
| ( ( in @ SV427 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK152_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3841]) ).
thf(4166,plain,
! [SV1: $i,SV316: $i] :
( ( ( ~ ( in @ ( sK280_SY443 @ SV316 @ SV1 ) @ ( sK152_SY8 @ SV1 ) )
| ( SV316
= ( sK280_SY443 @ SV316 @ SV1 ) )
| ( in @ SV316 @ ( sK280_SY443 @ SV316 @ SV1 ) ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3842]) ).
thf(4167,plain,
! [SV1: $i,SV428: $i,SV376: $i] :
( ( ( in @ SV376 @ SV428 )
= $false )
| ( ( in @ SV376 @ SV1 )
= $true )
| ( ( in @ SV428 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK153_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3843]) ).
thf(4168,plain,
! [SV1: $i,SV318: $i] :
( ( ( ~ ( in @ ( sK281_SY444 @ SV318 @ SV1 ) @ ( sK153_SY8 @ SV1 ) )
| ( SV318
= ( sK281_SY444 @ SV318 @ SV1 ) )
| ( in @ SV318 @ ( sK281_SY444 @ SV318 @ SV1 ) ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3844]) ).
thf(4169,plain,
! [SV1: $i,SV429: $i,SV377: $i] :
( ( ( in @ SV377 @ SV429 )
= $false )
| ( ( in @ SV377 @ SV1 )
= $true )
| ( ( in @ SV429 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK154_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3845]) ).
thf(4170,plain,
! [SV1: $i,SV320: $i] :
( ( ( ~ ( in @ ( sK282_SY445 @ SV320 @ SV1 ) @ ( sK154_SY8 @ SV1 ) )
| ( SV320
= ( sK282_SY445 @ SV320 @ SV1 ) )
| ( in @ SV320 @ ( sK282_SY445 @ SV320 @ SV1 ) ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3846]) ).
thf(4171,plain,
! [SV1: $i,SV430: $i,SV378: $i] :
( ( ( in @ SV378 @ SV430 )
= $false )
| ( ( in @ SV378 @ SV1 )
= $true )
| ( ( in @ SV430 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( ( sK155_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3847]) ).
thf(4172,plain,
! [SV1: $i,SV322: $i] :
( ( ( ~ ( in @ ( sK283_SY446 @ SV322 @ SV1 ) @ ( sK155_SY8 @ SV1 ) )
| ( SV322
= ( sK283_SY446 @ SV322 @ SV1 ) )
| ( in @ SV322 @ ( sK283_SY446 @ SV322 @ SV1 ) ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3848]) ).
thf(4173,plain,
! [SV1: $i,SV256: $i] :
( ( ( ~ ( in @ ( sK266_SY379 @ SV256 @ SV1 ) @ ( sK130_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3850]) ).
thf(4174,plain,
! [SV1: $i,SV256: $i] :
( ( ( ( SV256
= ( sK266_SY379 @ SV256 @ SV1 ) )
| ( in @ SV256 @ ( sK266_SY379 @ SV256 @ SV1 ) ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3850]) ).
thf(4175,plain,
! [SV1: $i,SV258: $i] :
( ( ( ~ ( in @ ( sK267_SY380 @ SV258 @ SV1 ) @ ( sK131_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3852]) ).
thf(4176,plain,
! [SV1: $i,SV258: $i] :
( ( ( ( SV258
= ( sK267_SY380 @ SV258 @ SV1 ) )
| ( in @ SV258 @ ( sK267_SY380 @ SV258 @ SV1 ) ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3852]) ).
thf(4177,plain,
! [SV1: $i,SV479: $i,SV431: $i] :
( ( ( ~ ( in @ SV431 @ SV479 ) )
= $true )
| ( ( in @ SV431 @ SV1 )
= $true )
| ( ( in @ SV479 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK176_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3854]) ).
thf(4178,plain,
! [SV382: $i,SV1: $i] :
( ( ( ! [SY517: $i] :
( ~ ( in @ SY517 @ ( sK176_SY8 @ SV1 ) )
| ( SV382 = SY517 )
| ( in @ SV382 @ SY517 ) ) )
= $false )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3855]) ).
thf(4179,plain,
! [SV1: $i,SV480: $i,SV432: $i] :
( ( ( ~ ( in @ SV432 @ SV480 ) )
= $true )
| ( ( in @ SV432 @ SV1 )
= $true )
| ( ( in @ SV480 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK177_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3857]) ).
thf(4180,plain,
! [SV384: $i,SV1: $i] :
( ( ( ! [SY518: $i] :
( ~ ( in @ SY518 @ ( sK177_SY8 @ SV1 ) )
| ( SV384 = SY518 )
| ( in @ SV384 @ SY518 ) ) )
= $false )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3858]) ).
thf(4181,plain,
! [SV1: $i,SV481: $i,SV433: $i] :
( ( ( ~ ( in @ SV433 @ SV481 ) )
= $true )
| ( ( in @ SV433 @ SV1 )
= $true )
| ( ( in @ SV481 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK186_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3859]) ).
thf(4182,plain,
! [SV559: $i,SV1: $i,SV655: $i] :
( ( ( ~ ( in @ SV655 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV559 @ SV655 )
| ( in @ SV559 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK186_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3860]) ).
thf(4183,plain,
! [SV1: $i,SV482: $i] :
( ( ( ~ ( in @ SV482 @ ( sK186_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY573: $i] :
( ~ ( in @ SY573 @ ( sK186_SY8 @ SV1 ) )
| ( SV482 = SY573 )
| ( in @ SV482 @ SY573 ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3861]) ).
thf(4184,plain,
! [SV1: $i,SV483: $i,SV434: $i] :
( ( ( ~ ( in @ SV434 @ SV483 ) )
= $true )
| ( ( in @ SV434 @ SV1 )
= $true )
| ( ( in @ SV483 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK187_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3862]) ).
thf(4185,plain,
! [SV560: $i,SV1: $i,SV656: $i] :
( ( ( ~ ( in @ SV656 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV560 @ SV656 )
| ( in @ SV560 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK187_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3863]) ).
thf(4186,plain,
! [SV1: $i,SV484: $i] :
( ( ( ~ ( in @ SV484 @ ( sK187_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY574: $i] :
( ~ ( in @ SY574 @ ( sK187_SY8 @ SV1 ) )
| ( SV484 = SY574 )
| ( in @ SV484 @ SY574 ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3864]) ).
thf(4187,plain,
! [SV485: $i,SV1: $i,SV561: $i] :
( ( ( in @ SV561 @ SV1 )
= $false )
| ( ( ~ ( in @ SV485 @ SV561 )
| ( in @ SV485 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK204_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3865]) ).
thf(4188,plain,
! [SV657: $i,SV1: $i,SV747: $i] :
( ( ( ~ ( in @ SV747 @ SV1 )
| ~ ( in @ SV657 @ SV747 )
| ( in @ SV657 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK204_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3866]) ).
thf(4189,plain,
! [SV1: $i,SV562: $i] :
( ( ( ~ ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
| ~ ! [SY625: $i] :
( ~ ( in @ SY625 @ ( sK204_SY8 @ SV1 ) )
| ( SV562 = SY625 )
| ( in @ SV562 @ SY625 ) ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3867]) ).
thf(4190,plain,
! [SV486: $i,SV1: $i,SV563: $i] :
( ( ( in @ SV563 @ SV1 )
= $false )
| ( ( ~ ( in @ SV486 @ SV563 )
| ( in @ SV486 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK205_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3868]) ).
thf(4191,plain,
! [SV658: $i,SV1: $i,SV748: $i] :
( ( ( ~ ( in @ SV748 @ SV1 )
| ~ ( in @ SV658 @ SV748 )
| ( in @ SV658 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK205_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3869]) ).
thf(4192,plain,
! [SV1: $i,SV564: $i] :
( ( ( ~ ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
| ~ ! [SY626: $i] :
( ~ ( in @ SY626 @ ( sK205_SY8 @ SV1 ) )
| ( SV564 = SY626 )
| ( in @ SV564 @ SY626 ) ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3870]) ).
thf(4193,plain,
! [SV487: $i,SV1: $i,SV565: $i] :
( ( ( in @ SV565 @ SV1 )
= $false )
| ( ( ~ ( in @ SV487 @ SV565 )
| ( in @ SV487 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK206_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3871]) ).
thf(4194,plain,
! [SV659: $i,SV1: $i,SV749: $i] :
( ( ( ~ ( in @ SV749 @ SV1 )
| ~ ( in @ SV659 @ SV749 )
| ( in @ SV659 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK206_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3872]) ).
thf(4195,plain,
! [SV1: $i,SV566: $i] :
( ( ( ~ ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
| ~ ! [SY627: $i] :
( ~ ( in @ SY627 @ ( sK206_SY8 @ SV1 ) )
| ( SV566 = SY627 )
| ( in @ SV566 @ SY627 ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3873]) ).
thf(4196,plain,
! [SV488: $i,SV1: $i,SV567: $i] :
( ( ( in @ SV567 @ SV1 )
= $false )
| ( ( ~ ( in @ SV488 @ SV567 )
| ( in @ SV488 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK207_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3874]) ).
thf(4197,plain,
! [SV660: $i,SV1: $i,SV750: $i] :
( ( ( ~ ( in @ SV750 @ SV1 )
| ~ ( in @ SV660 @ SV750 )
| ( in @ SV660 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK207_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3875]) ).
thf(4198,plain,
! [SV1: $i,SV568: $i] :
( ( ( ~ ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
| ~ ! [SY628: $i] :
( ~ ( in @ SY628 @ ( sK207_SY8 @ SV1 ) )
| ( SV568 = SY628 )
| ( in @ SV568 @ SY628 ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3876]) ).
thf(4199,plain,
! [SV1: $i,SV489: $i,SV435: $i] :
( ( ( ~ ( in @ SV435 @ SV489 ) )
= $true )
| ( ( in @ SV435 @ SV1 )
= $true )
| ( ( in @ SV489 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK188_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3877]) ).
thf(4200,plain,
! [SV569: $i,SV1: $i,SV661: $i] :
( ( ( ~ ( in @ SV661 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV569 @ SV661 )
| ( in @ SV569 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ( sK188_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3878]) ).
thf(4201,plain,
! [SV1: $i,SV490: $i] :
( ( ( ~ ( in @ SV490 @ ( sK188_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY579: $i] :
( ~ ( in @ SY579 @ ( sK188_SY8 @ SV1 ) )
| ( SV490 = SY579 )
| ( in @ SV490 @ SY579 ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3879]) ).
thf(4202,plain,
! [SV1: $i,SV491: $i,SV436: $i] :
( ( ( ~ ( in @ SV436 @ SV491 ) )
= $true )
| ( ( in @ SV436 @ SV1 )
= $true )
| ( ( in @ SV491 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK189_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3880]) ).
thf(4203,plain,
! [SV570: $i,SV1: $i,SV662: $i] :
( ( ( ~ ( in @ SV662 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV570 @ SV662 )
| ( in @ SV570 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ( sK189_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3881]) ).
thf(4204,plain,
! [SV1: $i,SV492: $i] :
( ( ( ~ ( in @ SV492 @ ( sK189_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY580: $i] :
( ~ ( in @ SY580 @ ( sK189_SY8 @ SV1 ) )
| ( SV492 = SY580 )
| ( in @ SV492 @ SY580 ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3882]) ).
thf(4205,plain,
! [SV1: $i,SV493: $i,SV437: $i] :
( ( ( ~ ( in @ SV437 @ SV493 ) )
= $true )
| ( ( in @ SV437 @ SV1 )
= $true )
| ( ( in @ SV493 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK178_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3884]) ).
thf(4206,plain,
! [SV386: $i,SV1: $i] :
( ( ( ! [SY519: $i] :
( ~ ( in @ SY519 @ ( sK178_SY8 @ SV1 ) )
| ( SV386 = SY519 )
| ( in @ SV386 @ SY519 ) ) )
= $false )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3885]) ).
thf(4207,plain,
! [SV1: $i,SV494: $i,SV438: $i] :
( ( ( ~ ( in @ SV438 @ SV494 ) )
= $true )
| ( ( in @ SV438 @ SV1 )
= $true )
| ( ( in @ SV494 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK179_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3887]) ).
thf(4208,plain,
! [SV388: $i,SV1: $i] :
( ( ( ! [SY520: $i] :
( ~ ( in @ SY520 @ ( sK179_SY8 @ SV1 ) )
| ( SV388 = SY520 )
| ( in @ SV388 @ SY520 ) ) )
= $false )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3888]) ).
thf(4209,plain,
! [SV1: $i,SV495: $i,SV439: $i] :
( ( ( ~ ( in @ SV439 @ SV495 ) )
= $true )
| ( ( in @ SV439 @ SV1 )
= $true )
| ( ( in @ SV495 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK190_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3889]) ).
thf(4210,plain,
! [SV571: $i,SV1: $i,SV663: $i] :
( ( ( ~ ( in @ SV663 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV571 @ SV663 )
| ( in @ SV571 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK190_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3890]) ).
thf(4211,plain,
! [SV1: $i,SV496: $i] :
( ( ( ~ ( in @ SV496 @ ( sK190_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY581: $i] :
( ~ ( in @ SY581 @ ( sK190_SY8 @ SV1 ) )
| ( SV496 = SY581 )
| ( in @ SV496 @ SY581 ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3891]) ).
thf(4212,plain,
! [SV1: $i,SV497: $i,SV440: $i] :
( ( ( ~ ( in @ SV440 @ SV497 ) )
= $true )
| ( ( in @ SV440 @ SV1 )
= $true )
| ( ( in @ SV497 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK191_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3892]) ).
thf(4213,plain,
! [SV572: $i,SV1: $i,SV664: $i] :
( ( ( ~ ( in @ SV664 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV572 @ SV664 )
| ( in @ SV572 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK191_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3893]) ).
thf(4214,plain,
! [SV1: $i,SV498: $i] :
( ( ( ~ ( in @ SV498 @ ( sK191_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY582: $i] :
( ~ ( in @ SY582 @ ( sK191_SY8 @ SV1 ) )
| ( SV498 = SY582 )
| ( in @ SV498 @ SY582 ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3894]) ).
thf(4215,plain,
! [SV499: $i,SV1: $i,SV573: $i] :
( ( ( in @ SV573 @ SV1 )
= $false )
| ( ( ~ ( in @ SV499 @ SV573 )
| ( in @ SV499 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK208_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3895]) ).
thf(4216,plain,
! [SV665: $i,SV1: $i,SV751: $i] :
( ( ( ~ ( in @ SV751 @ SV1 )
| ~ ( in @ SV665 @ SV751 )
| ( in @ SV665 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK208_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3896]) ).
thf(4217,plain,
! [SV1: $i,SV574: $i] :
( ( ( ~ ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
| ~ ! [SY633: $i] :
( ~ ( in @ SY633 @ ( sK208_SY8 @ SV1 ) )
| ( SV574 = SY633 )
| ( in @ SV574 @ SY633 ) ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3897]) ).
thf(4218,plain,
! [SV500: $i,SV1: $i,SV575: $i] :
( ( ( in @ SV575 @ SV1 )
= $false )
| ( ( ~ ( in @ SV500 @ SV575 )
| ( in @ SV500 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK209_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3898]) ).
thf(4219,plain,
! [SV666: $i,SV1: $i,SV752: $i] :
( ( ( ~ ( in @ SV752 @ SV1 )
| ~ ( in @ SV666 @ SV752 )
| ( in @ SV666 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK209_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3899]) ).
thf(4220,plain,
! [SV1: $i,SV576: $i] :
( ( ( ~ ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
| ~ ! [SY634: $i] :
( ~ ( in @ SY634 @ ( sK209_SY8 @ SV1 ) )
| ( SV576 = SY634 )
| ( in @ SV576 @ SY634 ) ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3900]) ).
thf(4221,plain,
! [SV501: $i,SV1: $i,SV577: $i] :
( ( ( in @ SV577 @ SV1 )
= $false )
| ( ( ~ ( in @ SV501 @ SV577 )
| ( in @ SV501 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK210_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3901]) ).
thf(4222,plain,
! [SV667: $i,SV1: $i,SV753: $i] :
( ( ( ~ ( in @ SV753 @ SV1 )
| ~ ( in @ SV667 @ SV753 )
| ( in @ SV667 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK210_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3902]) ).
thf(4223,plain,
! [SV1: $i,SV578: $i] :
( ( ( ~ ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
| ~ ! [SY635: $i] :
( ~ ( in @ SY635 @ ( sK210_SY8 @ SV1 ) )
| ( SV578 = SY635 )
| ( in @ SV578 @ SY635 ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3903]) ).
thf(4224,plain,
! [SV502: $i,SV1: $i,SV579: $i] :
( ( ( in @ SV579 @ SV1 )
= $false )
| ( ( ~ ( in @ SV502 @ SV579 )
| ( in @ SV502 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK211_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3904]) ).
thf(4225,plain,
! [SV668: $i,SV1: $i,SV754: $i] :
( ( ( ~ ( in @ SV754 @ SV1 )
| ~ ( in @ SV668 @ SV754 )
| ( in @ SV668 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK211_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3905]) ).
thf(4226,plain,
! [SV1: $i,SV580: $i] :
( ( ( ~ ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
| ~ ! [SY636: $i] :
( ~ ( in @ SY636 @ ( sK211_SY8 @ SV1 ) )
| ( SV580 = SY636 )
| ( in @ SV580 @ SY636 ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3906]) ).
thf(4227,plain,
! [SV1: $i,SV503: $i,SV441: $i] :
( ( ( ~ ( in @ SV441 @ SV503 ) )
= $true )
| ( ( in @ SV441 @ SV1 )
= $true )
| ( ( in @ SV503 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK192_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3907]) ).
thf(4228,plain,
! [SV581: $i,SV1: $i,SV669: $i] :
( ( ( ~ ( in @ SV669 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV581 @ SV669 )
| ( in @ SV581 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ( sK192_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3908]) ).
thf(4229,plain,
! [SV1: $i,SV504: $i] :
( ( ( ~ ( in @ SV504 @ ( sK192_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY587: $i] :
( ~ ( in @ SY587 @ ( sK192_SY8 @ SV1 ) )
| ( SV504 = SY587 )
| ( in @ SV504 @ SY587 ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3909]) ).
thf(4230,plain,
! [SV1: $i,SV505: $i,SV442: $i] :
( ( ( ~ ( in @ SV442 @ SV505 ) )
= $true )
| ( ( in @ SV442 @ SV1 )
= $true )
| ( ( in @ SV505 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK193_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3910]) ).
thf(4231,plain,
! [SV582: $i,SV1: $i,SV670: $i] :
( ( ( ~ ( in @ SV670 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV582 @ SV670 )
| ( in @ SV582 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ( sK193_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3911]) ).
thf(4232,plain,
! [SV1: $i,SV506: $i] :
( ( ( ~ ( in @ SV506 @ ( sK193_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY588: $i] :
( ~ ( in @ SY588 @ ( sK193_SY8 @ SV1 ) )
| ( SV506 = SY588 )
| ( in @ SV506 @ SY588 ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3912]) ).
thf(4233,plain,
! [SV148: $i,SV755: $i,SV1: $i] :
( ( ( ! [SY731: $i] :
( ~ ( in @ SY731 @ SV1 )
| ~ ( in @ SV755 @ SY731 )
| ( in @ SV755 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK246_SY303 @ SV148 @ SV1 ) @ ( sK108_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3913]) ).
thf(4234,plain,
! [SV148: $i,SV756: $i,SV1: $i] :
( ( ( ! [SY732: $i] :
( ~ ( in @ SY732 @ SV1 )
| ~ ( in @ SV756 @ SY732 )
| ( in @ SV756 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( SV148
= ( sK246_SY303 @ SV148 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3914]) ).
thf(4235,plain,
! [SV148: $i,SV757: $i,SV1: $i] :
( ( ( ! [SY733: $i] :
( ~ ( in @ SY733 @ SV1 )
| ~ ( in @ SV757 @ SY733 )
| ( in @ SV757 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV148 @ ( sK246_SY303 @ SV148 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3915]) ).
thf(4236,plain,
! [SV150: $i,SV758: $i,SV1: $i] :
( ( ( ! [SY734: $i] :
( ~ ( in @ SY734 @ SV1 )
| ~ ( in @ SV758 @ SY734 )
| ( in @ SV758 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK247_SY304 @ SV150 @ SV1 ) @ ( sK109_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3916]) ).
thf(4237,plain,
! [SV150: $i,SV759: $i,SV1: $i] :
( ( ( ! [SY735: $i] :
( ~ ( in @ SY735 @ SV1 )
| ~ ( in @ SV759 @ SY735 )
| ( in @ SV759 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( SV150
= ( sK247_SY304 @ SV150 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3917]) ).
thf(4238,plain,
! [SV150: $i,SV760: $i,SV1: $i] :
( ( ( ! [SY736: $i] :
( ~ ( in @ SY736 @ SV1 )
| ~ ( in @ SV760 @ SY736 )
| ( in @ SV760 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV150 @ ( sK247_SY304 @ SV150 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3918]) ).
thf(4239,plain,
! [SV1: $i,SV262: $i] :
( ( ( ~ ( in @ ( sK268_SY397 @ SV262 @ SV1 ) @ ( sK136_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3920]) ).
thf(4240,plain,
! [SV1: $i,SV262: $i] :
( ( ( ( SV262
= ( sK268_SY397 @ SV262 @ SV1 ) )
| ( in @ SV262 @ ( sK268_SY397 @ SV262 @ SV1 ) ) )
= $false )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3920]) ).
thf(4241,plain,
! [SV1: $i,SV264: $i] :
( ( ( ~ ( in @ ( sK269_SY398 @ SV264 @ SV1 ) @ ( sK137_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3922]) ).
thf(4242,plain,
! [SV1: $i,SV264: $i] :
( ( ( ( SV264
= ( sK269_SY398 @ SV264 @ SV1 ) )
| ( in @ SV264 @ ( sK269_SY398 @ SV264 @ SV1 ) ) )
= $false )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3922]) ).
thf(4243,plain,
! [SV1: $i,SV443: $i,SV391: $i] :
( ( ( in @ SV391 @ SV443 )
= $false )
| ( ( in @ SV391 @ SV1 )
= $true )
| ( ( in @ SV443 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK160_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3923]) ).
thf(4244,plain,
! [SV1: $i,SV332: $i] :
( ( ( ~ ( in @ ( sK284_SY471 @ SV332 @ SV1 ) @ ( sK160_SY8 @ SV1 ) )
| ( SV332
= ( sK284_SY471 @ SV332 @ SV1 ) )
| ( in @ SV332 @ ( sK284_SY471 @ SV332 @ SV1 ) ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3924]) ).
thf(4245,plain,
! [SV1: $i,SV444: $i,SV392: $i] :
( ( ( in @ SV392 @ SV444 )
= $false )
| ( ( in @ SV392 @ SV1 )
= $true )
| ( ( in @ SV444 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK161_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3925]) ).
thf(4246,plain,
! [SV1: $i,SV334: $i] :
( ( ( ~ ( in @ ( sK285_SY472 @ SV334 @ SV1 ) @ ( sK161_SY8 @ SV1 ) )
| ( SV334
= ( sK285_SY472 @ SV334 @ SV1 ) )
| ( in @ SV334 @ ( sK285_SY472 @ SV334 @ SV1 ) ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3926]) ).
thf(4247,plain,
! [SV1: $i,SV445: $i,SV393: $i] :
( ( ( in @ SV393 @ SV445 )
= $false )
| ( ( in @ SV393 @ SV1 )
= $true )
| ( ( in @ SV445 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK162_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3927]) ).
thf(4248,plain,
! [SV1: $i,SV336: $i] :
( ( ( ~ ( in @ ( sK286_SY473 @ SV336 @ SV1 ) @ ( sK162_SY8 @ SV1 ) )
| ( SV336
= ( sK286_SY473 @ SV336 @ SV1 ) )
| ( in @ SV336 @ ( sK286_SY473 @ SV336 @ SV1 ) ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3928]) ).
thf(4249,plain,
! [SV1: $i,SV446: $i,SV394: $i] :
( ( ( in @ SV394 @ SV446 )
= $false )
| ( ( in @ SV394 @ SV1 )
= $true )
| ( ( in @ SV446 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( ( sK163_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3929]) ).
thf(4250,plain,
! [SV1: $i,SV338: $i] :
( ( ( ~ ( in @ ( sK287_SY474 @ SV338 @ SV1 ) @ ( sK163_SY8 @ SV1 ) )
| ( SV338
= ( sK287_SY474 @ SV338 @ SV1 ) )
| ( in @ SV338 @ ( sK287_SY474 @ SV338 @ SV1 ) ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3930]) ).
thf(4251,plain,
! [SV1: $i,SV270: $i] :
( ( ( ~ ( in @ ( sK270_SY403 @ SV270 @ SV1 ) @ ( sK138_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3932]) ).
thf(4252,plain,
! [SV1: $i,SV270: $i] :
( ( ( ( SV270
= ( sK270_SY403 @ SV270 @ SV1 ) )
| ( in @ SV270 @ ( sK270_SY403 @ SV270 @ SV1 ) ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3932]) ).
thf(4253,plain,
! [SV1: $i,SV272: $i] :
( ( ( ~ ( in @ ( sK271_SY404 @ SV272 @ SV1 ) @ ( sK139_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3934]) ).
thf(4254,plain,
! [SV1: $i,SV272: $i] :
( ( ( ( SV272
= ( sK271_SY404 @ SV272 @ SV1 ) )
| ( in @ SV272 @ ( sK271_SY404 @ SV272 @ SV1 ) ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3934]) ).
thf(4255,plain,
! [SV22: $i,SV1: $i,SV507: $i,SV447: $i] :
( ( ( ~ ( in @ SV447 @ SV507 ) )
= $true )
| ( ( in @ SV447 @ SV1 )
= $true )
| ( ( in @ SV507 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK194_SY111 @ SV22 @ SV1 ) @ ( sK48_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3935]) ).
thf(4256,plain,
! [SV22: $i,SV1: $i,SV508: $i,SV448: $i] :
( ( ( ~ ( in @ SV448 @ SV508 ) )
= $true )
| ( ( in @ SV448 @ SV1 )
= $true )
| ( ( in @ SV508 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( SV22
= ( sK194_SY111 @ SV22 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3936]) ).
thf(4257,plain,
! [SV22: $i,SV1: $i,SV509: $i,SV449: $i] :
( ( ( ~ ( in @ SV449 @ SV509 ) )
= $true )
| ( ( in @ SV449 @ SV1 )
= $true )
| ( ( in @ SV509 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV22 @ ( sK194_SY111 @ SV22 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3937]) ).
thf(4258,plain,
! [SV24: $i,SV1: $i,SV510: $i,SV450: $i] :
( ( ( ~ ( in @ SV450 @ SV510 ) )
= $true )
| ( ( in @ SV450 @ SV1 )
= $true )
| ( ( in @ SV510 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK195_SY112 @ SV24 @ SV1 ) @ ( sK49_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3938]) ).
thf(4259,plain,
! [SV24: $i,SV1: $i,SV511: $i,SV451: $i] :
( ( ( ~ ( in @ SV451 @ SV511 ) )
= $true )
| ( ( in @ SV451 @ SV1 )
= $true )
| ( ( in @ SV511 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( SV24
= ( sK195_SY112 @ SV24 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3939]) ).
thf(4260,plain,
! [SV24: $i,SV1: $i,SV512: $i,SV452: $i] :
( ( ( ~ ( in @ SV452 @ SV512 ) )
= $true )
| ( ( in @ SV452 @ SV1 )
= $true )
| ( ( in @ SV512 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV24 @ ( sK195_SY112 @ SV24 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3940]) ).
thf(4261,plain,
! [SV62: $i,SV583: $i,SV1: $i,SV671: $i] :
( ( ( ~ ( in @ SV671 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV583 @ SV671 )
| ( in @ SV583 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK226_SY187 @ SV62 @ SV1 ) @ ( sK72_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3941]) ).
thf(4262,plain,
! [SV62: $i,SV584: $i,SV1: $i,SV672: $i] :
( ( ( ~ ( in @ SV672 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV584 @ SV672 )
| ( in @ SV584 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( SV62
= ( sK226_SY187 @ SV62 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3942]) ).
thf(4263,plain,
! [SV62: $i,SV585: $i,SV1: $i,SV673: $i] :
( ( ( ~ ( in @ SV673 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV585 @ SV673 )
| ( in @ SV585 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV62 @ ( sK226_SY187 @ SV62 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3943]) ).
thf(4264,plain,
! [SV64: $i,SV586: $i,SV1: $i,SV674: $i] :
( ( ( ~ ( in @ SV674 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV586 @ SV674 )
| ( in @ SV586 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK227_SY188 @ SV64 @ SV1 ) @ ( sK73_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3944]) ).
thf(4265,plain,
! [SV64: $i,SV587: $i,SV1: $i,SV675: $i] :
( ( ( ~ ( in @ SV675 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV587 @ SV675 )
| ( in @ SV587 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( SV64
= ( sK227_SY188 @ SV64 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3945]) ).
thf(4266,plain,
! [SV64: $i,SV588: $i,SV1: $i,SV676: $i] :
( ( ( ~ ( in @ SV676 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV588 @ SV676 )
| ( in @ SV588 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV64 @ ( sK227_SY188 @ SV64 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3946]) ).
thf(4267,plain,
! [SV102: $i,SV677: $i,SV1: $i,SV761: $i] :
( ( ( ~ ( in @ SV761 @ SV1 )
| ~ ( in @ SV677 @ SV761 )
| ( in @ SV677 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK236_SY249 @ SV102 @ SV1 ) @ ( sK92_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3947]) ).
thf(4268,plain,
! [SV102: $i,SV678: $i,SV1: $i,SV762: $i] :
( ( ( ~ ( in @ SV762 @ SV1 )
| ~ ( in @ SV678 @ SV762 )
| ( in @ SV678 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( SV102
= ( sK236_SY249 @ SV102 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3948]) ).
thf(4269,plain,
! [SV102: $i,SV679: $i,SV1: $i,SV763: $i] :
( ( ( ~ ( in @ SV763 @ SV1 )
| ~ ( in @ SV679 @ SV763 )
| ( in @ SV679 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK236_SY249 @ SV102 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3949]) ).
thf(4270,plain,
! [SV104: $i,SV680: $i,SV1: $i,SV764: $i] :
( ( ( ~ ( in @ SV764 @ SV1 )
| ~ ( in @ SV680 @ SV764 )
| ( in @ SV680 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK237_SY250 @ SV104 @ SV1 ) @ ( sK93_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3950]) ).
thf(4271,plain,
! [SV104: $i,SV681: $i,SV1: $i,SV765: $i] :
( ( ( ~ ( in @ SV765 @ SV1 )
| ~ ( in @ SV681 @ SV765 )
| ( in @ SV681 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( SV104
= ( sK237_SY250 @ SV104 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3951]) ).
thf(4272,plain,
! [SV104: $i,SV682: $i,SV1: $i,SV766: $i] :
( ( ( ~ ( in @ SV766 @ SV1 )
| ~ ( in @ SV682 @ SV766 )
| ( in @ SV682 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK237_SY250 @ SV104 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3952]) ).
thf(4273,plain,
! [SV106: $i,SV683: $i,SV1: $i,SV767: $i] :
( ( ( ~ ( in @ SV767 @ SV1 )
| ~ ( in @ SV683 @ SV767 )
| ( in @ SV683 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK238_SY251 @ SV106 @ SV1 ) @ ( sK94_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3953]) ).
thf(4274,plain,
! [SV106: $i,SV684: $i,SV1: $i,SV768: $i] :
( ( ( ~ ( in @ SV768 @ SV1 )
| ~ ( in @ SV684 @ SV768 )
| ( in @ SV684 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( SV106
= ( sK238_SY251 @ SV106 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3954]) ).
thf(4275,plain,
! [SV106: $i,SV685: $i,SV1: $i,SV769: $i] :
( ( ( ~ ( in @ SV769 @ SV1 )
| ~ ( in @ SV685 @ SV769 )
| ( in @ SV685 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK238_SY251 @ SV106 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3955]) ).
thf(4276,plain,
! [SV108: $i,SV686: $i,SV1: $i,SV770: $i] :
( ( ( ~ ( in @ SV770 @ SV1 )
| ~ ( in @ SV686 @ SV770 )
| ( in @ SV686 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK239_SY252 @ SV108 @ SV1 ) @ ( sK95_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3956]) ).
thf(4277,plain,
! [SV108: $i,SV687: $i,SV1: $i,SV771: $i] :
( ( ( ~ ( in @ SV771 @ SV1 )
| ~ ( in @ SV687 @ SV771 )
| ( in @ SV687 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( SV108
= ( sK239_SY252 @ SV108 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3957]) ).
thf(4278,plain,
! [SV108: $i,SV688: $i,SV1: $i,SV772: $i] :
( ( ( ~ ( in @ SV772 @ SV1 )
| ~ ( in @ SV688 @ SV772 )
| ( in @ SV688 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK239_SY252 @ SV108 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3958]) ).
thf(4279,plain,
! [SV70: $i,SV589: $i,SV1: $i,SV689: $i] :
( ( ( ~ ( in @ SV689 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV589 @ SV689 )
| ( in @ SV589 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK228_SY193 @ SV70 @ SV1 ) @ ( sK74_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3959]) ).
thf(4280,plain,
! [SV70: $i,SV590: $i,SV1: $i,SV690: $i] :
( ( ( ~ ( in @ SV690 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV590 @ SV690 )
| ( in @ SV590 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( SV70
= ( sK228_SY193 @ SV70 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3960]) ).
thf(4281,plain,
! [SV70: $i,SV591: $i,SV1: $i,SV691: $i] :
( ( ( ~ ( in @ SV691 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV591 @ SV691 )
| ( in @ SV591 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK228_SY193 @ SV70 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3961]) ).
thf(4282,plain,
! [SV72: $i,SV592: $i,SV1: $i,SV692: $i] :
( ( ( ~ ( in @ SV692 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV592 @ SV692 )
| ( in @ SV592 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK229_SY194 @ SV72 @ SV1 ) @ ( sK75_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3962]) ).
thf(4283,plain,
! [SV72: $i,SV593: $i,SV1: $i,SV693: $i] :
( ( ( ~ ( in @ SV693 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV593 @ SV693 )
| ( in @ SV593 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( SV72
= ( sK229_SY194 @ SV72 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3963]) ).
thf(4284,plain,
! [SV72: $i,SV594: $i,SV1: $i,SV694: $i] :
( ( ( ~ ( in @ SV694 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV594 @ SV694 )
| ( in @ SV594 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK229_SY194 @ SV72 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3964]) ).
thf(4285,plain,
! [SV74: $i,SV595: $i,SV1: $i,SV695: $i] :
( ( ( ~ ( in @ SV695 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV595 @ SV695 )
| ( in @ SV595 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK230_SY195 @ SV74 @ SV1 ) @ ( sK76_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3965]) ).
thf(4286,plain,
! [SV74: $i,SV596: $i,SV1: $i,SV696: $i] :
( ( ( ~ ( in @ SV696 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV596 @ SV696 )
| ( in @ SV596 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( SV74
= ( sK230_SY195 @ SV74 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3966]) ).
thf(4287,plain,
! [SV74: $i,SV597: $i,SV1: $i,SV697: $i] :
( ( ( ~ ( in @ SV697 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV597 @ SV697 )
| ( in @ SV597 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV74 @ ( sK230_SY195 @ SV74 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3967]) ).
thf(4288,plain,
! [SV76: $i,SV598: $i,SV1: $i,SV698: $i] :
( ( ( ~ ( in @ SV698 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV598 @ SV698 )
| ( in @ SV598 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK231_SY196 @ SV76 @ SV1 ) @ ( sK77_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3968]) ).
thf(4289,plain,
! [SV76: $i,SV599: $i,SV1: $i,SV699: $i] :
( ( ( ~ ( in @ SV699 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV599 @ SV699 )
| ( in @ SV599 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( SV76
= ( sK231_SY196 @ SV76 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3969]) ).
thf(4290,plain,
! [SV76: $i,SV600: $i,SV1: $i,SV700: $i] :
( ( ( ~ ( in @ SV700 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV600 @ SV700 )
| ( in @ SV600 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV76 @ ( sK231_SY196 @ SV76 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3970]) ).
thf(4291,plain,
! [SV162: $i,SV773: $i,SV1: $i] :
( ( ( ! [SY737: $i] :
( ~ ( in @ SY737 @ SV1 )
| ~ ( in @ SV773 @ SY737 )
| ( in @ SV773 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK248_SY309 @ SV162 @ SV1 ) @ ( sK110_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3971]) ).
thf(4292,plain,
! [SV162: $i,SV774: $i,SV1: $i] :
( ( ( ! [SY738: $i] :
( ~ ( in @ SY738 @ SV1 )
| ~ ( in @ SV774 @ SY738 )
| ( in @ SV774 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( SV162
= ( sK248_SY309 @ SV162 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3972]) ).
thf(4293,plain,
! [SV162: $i,SV775: $i,SV1: $i] :
( ( ( ! [SY739: $i] :
( ~ ( in @ SY739 @ SV1 )
| ~ ( in @ SV775 @ SY739 )
| ( in @ SV775 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV162 @ ( sK248_SY309 @ SV162 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3973]) ).
thf(4294,plain,
! [SV164: $i,SV776: $i,SV1: $i] :
( ( ( ! [SY740: $i] :
( ~ ( in @ SY740 @ SV1 )
| ~ ( in @ SV776 @ SY740 )
| ( in @ SV776 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK249_SY310 @ SV164 @ SV1 ) @ ( sK111_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3974]) ).
thf(4295,plain,
! [SV164: $i,SV777: $i,SV1: $i] :
( ( ( ! [SY741: $i] :
( ~ ( in @ SY741 @ SV1 )
| ~ ( in @ SV777 @ SY741 )
| ( in @ SV777 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( SV164
= ( sK249_SY310 @ SV164 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3975]) ).
thf(4296,plain,
! [SV164: $i,SV778: $i,SV1: $i] :
( ( ( ! [SY742: $i] :
( ~ ( in @ SY742 @ SV1 )
| ~ ( in @ SV778 @ SY742 )
| ( in @ SV778 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV164 @ ( sK249_SY310 @ SV164 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3976]) ).
thf(4297,plain,
! [SV1: $i,SV216: $i] :
( ( ( in @ ( sK260_SY351 @ SV216 @ SV1 ) @ ( sK124_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3977]) ).
thf(4298,plain,
! [SV1: $i,SV216: $i] :
( ( ( SV216
= ( sK260_SY351 @ SV216 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3978]) ).
thf(4299,plain,
! [SV1: $i,SV216: $i] :
( ( ( in @ SV216 @ ( sK260_SY351 @ SV216 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3978]) ).
thf(4300,plain,
! [SV1: $i,SV218: $i] :
( ( ( in @ ( sK261_SY352 @ SV218 @ SV1 ) @ ( sK125_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3979]) ).
thf(4301,plain,
! [SV1: $i,SV218: $i] :
( ( ( SV218
= ( sK261_SY352 @ SV218 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3980]) ).
thf(4302,plain,
! [SV1: $i,SV218: $i] :
( ( ( in @ SV218 @ ( sK261_SY352 @ SV218 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3980]) ).
thf(4303,plain,
! [SV1: $i,SV220: $i] :
( ( ( in @ ( sK262_SY353 @ SV220 @ SV1 ) @ ( sK126_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3981]) ).
thf(4304,plain,
! [SV1: $i,SV220: $i] :
( ( ( SV220
= ( sK262_SY353 @ SV220 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3982]) ).
thf(4305,plain,
! [SV1: $i,SV220: $i] :
( ( ( in @ SV220 @ ( sK262_SY353 @ SV220 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3982]) ).
thf(4306,plain,
! [SV1: $i,SV222: $i] :
( ( ( in @ ( sK263_SY354 @ SV222 @ SV1 ) @ ( sK127_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3983]) ).
thf(4307,plain,
! [SV1: $i,SV222: $i] :
( ( ( SV222
= ( sK263_SY354 @ SV222 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3984]) ).
thf(4308,plain,
! [SV1: $i,SV222: $i] :
( ( ( in @ SV222 @ ( sK263_SY354 @ SV222 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3984]) ).
thf(4309,plain,
! [SV170: $i,SV779: $i,SV1: $i] :
( ( ( ! [SY743: $i] :
( ~ ( in @ SY743 @ SV1 )
| ~ ( in @ SV779 @ SY743 )
| ( in @ SV779 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK250_SY315 @ SV170 @ SV1 ) @ ( sK112_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3985]) ).
thf(4310,plain,
! [SV170: $i,SV780: $i,SV1: $i] :
( ( ( ! [SY744: $i] :
( ~ ( in @ SY744 @ SV1 )
| ~ ( in @ SV780 @ SY744 )
| ( in @ SV780 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( SV170
= ( sK250_SY315 @ SV170 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3986]) ).
thf(4311,plain,
! [SV170: $i,SV781: $i,SV1: $i] :
( ( ( ! [SY745: $i] :
( ~ ( in @ SY745 @ SV1 )
| ~ ( in @ SV781 @ SY745 )
| ( in @ SV781 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK250_SY315 @ SV170 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3987]) ).
thf(4312,plain,
! [SV172: $i,SV782: $i,SV1: $i] :
( ( ( ! [SY746: $i] :
( ~ ( in @ SY746 @ SV1 )
| ~ ( in @ SV782 @ SY746 )
| ( in @ SV782 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK251_SY316 @ SV172 @ SV1 ) @ ( sK113_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3988]) ).
thf(4313,plain,
! [SV172: $i,SV783: $i,SV1: $i] :
( ( ( ! [SY747: $i] :
( ~ ( in @ SY747 @ SV1 )
| ~ ( in @ SV783 @ SY747 )
| ( in @ SV783 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( SV172
= ( sK251_SY316 @ SV172 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3989]) ).
thf(4314,plain,
! [SV172: $i,SV784: $i,SV1: $i] :
( ( ( ! [SY748: $i] :
( ~ ( in @ SY748 @ SV1 )
| ~ ( in @ SV784 @ SY748 )
| ( in @ SV784 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK251_SY316 @ SV172 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3990]) ).
thf(4315,plain,
! [SV174: $i,SV785: $i,SV1: $i] :
( ( ( ! [SY749: $i] :
( ~ ( in @ SY749 @ SV1 )
| ~ ( in @ SV785 @ SY749 )
| ( in @ SV785 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK252_SY317 @ SV174 @ SV1 ) @ ( sK114_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3991]) ).
thf(4316,plain,
! [SV174: $i,SV786: $i,SV1: $i] :
( ( ( ! [SY750: $i] :
( ~ ( in @ SY750 @ SV1 )
| ~ ( in @ SV786 @ SY750 )
| ( in @ SV786 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( SV174
= ( sK252_SY317 @ SV174 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3992]) ).
thf(4317,plain,
! [SV174: $i,SV787: $i,SV1: $i] :
( ( ( ! [SY751: $i] :
( ~ ( in @ SY751 @ SV1 )
| ~ ( in @ SV787 @ SY751 )
| ( in @ SV787 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV174 @ ( sK252_SY317 @ SV174 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3993]) ).
thf(4318,plain,
! [SV176: $i,SV788: $i,SV1: $i] :
( ( ( ! [SY752: $i] :
( ~ ( in @ SY752 @ SV1 )
| ~ ( in @ SV788 @ SY752 )
| ( in @ SV788 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK253_SY318 @ SV176 @ SV1 ) @ ( sK115_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3994]) ).
thf(4319,plain,
! [SV176: $i,SV789: $i,SV1: $i] :
( ( ( ! [SY753: $i] :
( ~ ( in @ SY753 @ SV1 )
| ~ ( in @ SV789 @ SY753 )
| ( in @ SV789 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( SV176
= ( sK253_SY318 @ SV176 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3995]) ).
thf(4320,plain,
! [SV176: $i,SV790: $i,SV1: $i] :
( ( ( ! [SY754: $i] :
( ~ ( in @ SY754 @ SV1 )
| ~ ( in @ SV790 @ SY754 )
| ( in @ SV790 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV176 @ ( sK253_SY318 @ SV176 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3996]) ).
thf(4321,plain,
! [SV1: $i,SV284: $i] :
( ( ( ~ ( in @ ( sK272_SY409 @ SV284 @ SV1 ) @ ( sK140_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3998]) ).
thf(4322,plain,
! [SV1: $i,SV284: $i] :
( ( ( ( SV284
= ( sK272_SY409 @ SV284 @ SV1 ) )
| ( in @ SV284 @ ( sK272_SY409 @ SV284 @ SV1 ) ) )
= $false )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3998]) ).
thf(4323,plain,
! [SV1: $i,SV286: $i] :
( ( ( ~ ( in @ ( sK273_SY410 @ SV286 @ SV1 ) @ ( sK141_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4000]) ).
thf(4324,plain,
! [SV1: $i,SV286: $i] :
( ( ( ( SV286
= ( sK273_SY410 @ SV286 @ SV1 ) )
| ( in @ SV286 @ ( sK273_SY410 @ SV286 @ SV1 ) ) )
= $false )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4000]) ).
thf(4325,plain,
! [SV1: $i,SV453: $i,SV399: $i] :
( ( ( in @ SV399 @ SV453 )
= $false )
| ( ( in @ SV399 @ SV1 )
= $true )
| ( ( in @ SV453 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK164_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4001]) ).
thf(4326,plain,
! [SV1: $i,SV348: $i] :
( ( ( ~ ( in @ ( sK288_SY479 @ SV348 @ SV1 ) @ ( sK164_SY8 @ SV1 ) )
| ( SV348
= ( sK288_SY479 @ SV348 @ SV1 ) )
| ( in @ SV348 @ ( sK288_SY479 @ SV348 @ SV1 ) ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4002]) ).
thf(4327,plain,
! [SV1: $i,SV454: $i,SV400: $i] :
( ( ( in @ SV400 @ SV454 )
= $false )
| ( ( in @ SV400 @ SV1 )
= $true )
| ( ( in @ SV454 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK165_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4003]) ).
thf(4328,plain,
! [SV1: $i,SV350: $i] :
( ( ( ~ ( in @ ( sK289_SY480 @ SV350 @ SV1 ) @ ( sK165_SY8 @ SV1 ) )
| ( SV350
= ( sK289_SY480 @ SV350 @ SV1 ) )
| ( in @ SV350 @ ( sK289_SY480 @ SV350 @ SV1 ) ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4004]) ).
thf(4329,plain,
! [SV1: $i,SV455: $i,SV401: $i] :
( ( ( in @ SV401 @ SV455 )
= $false )
| ( ( in @ SV401 @ SV1 )
= $true )
| ( ( in @ SV455 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK166_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4005]) ).
thf(4330,plain,
! [SV1: $i,SV352: $i] :
( ( ( ~ ( in @ ( sK290_SY481 @ SV352 @ SV1 ) @ ( sK166_SY8 @ SV1 ) )
| ( SV352
= ( sK290_SY481 @ SV352 @ SV1 ) )
| ( in @ SV352 @ ( sK290_SY481 @ SV352 @ SV1 ) ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4006]) ).
thf(4331,plain,
! [SV1: $i,SV456: $i,SV402: $i] :
( ( ( in @ SV402 @ SV456 )
= $false )
| ( ( in @ SV402 @ SV1 )
= $true )
| ( ( in @ SV456 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( ( sK167_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4007]) ).
thf(4332,plain,
! [SV1: $i,SV354: $i] :
( ( ( ~ ( in @ ( sK291_SY482 @ SV354 @ SV1 ) @ ( sK167_SY8 @ SV1 ) )
| ( SV354
= ( sK291_SY482 @ SV354 @ SV1 ) )
| ( in @ SV354 @ ( sK291_SY482 @ SV354 @ SV1 ) ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4008]) ).
thf(4333,plain,
! [SV1: $i,SV292: $i] :
( ( ( ~ ( in @ ( sK274_SY415 @ SV292 @ SV1 ) @ ( sK142_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4010]) ).
thf(4334,plain,
! [SV1: $i,SV292: $i] :
( ( ( ( SV292
= ( sK274_SY415 @ SV292 @ SV1 ) )
| ( in @ SV292 @ ( sK274_SY415 @ SV292 @ SV1 ) ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4010]) ).
thf(4335,plain,
! [SV1: $i,SV294: $i] :
( ( ( ~ ( in @ ( sK275_SY416 @ SV294 @ SV1 ) @ ( sK143_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4012]) ).
thf(4336,plain,
! [SV1: $i,SV294: $i] :
( ( ( ( SV294
= ( sK275_SY416 @ SV294 @ SV1 ) )
| ( in @ SV294 @ ( sK275_SY416 @ SV294 @ SV1 ) ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4012]) ).
thf(4337,plain,
! [SV1: $i,SV513: $i,SV457: $i] :
( ( ( ~ ( in @ SV457 @ SV513 ) )
= $true )
| ( ( in @ SV457 @ SV1 )
= $true )
| ( ( in @ SV513 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK180_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4014]) ).
thf(4338,plain,
! [SV406: $i,SV1: $i] :
( ( ( ! [SY529: $i] :
( ~ ( in @ SY529 @ ( sK180_SY8 @ SV1 ) )
| ( SV406 = SY529 )
| ( in @ SV406 @ SY529 ) ) )
= $false )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4015]) ).
thf(4339,plain,
! [SV1: $i,SV514: $i,SV458: $i] :
( ( ( ~ ( in @ SV458 @ SV514 ) )
= $true )
| ( ( in @ SV458 @ SV1 )
= $true )
| ( ( in @ SV514 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK181_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4017]) ).
thf(4340,plain,
! [SV408: $i,SV1: $i] :
( ( ( ! [SY530: $i] :
( ~ ( in @ SY530 @ ( sK181_SY8 @ SV1 ) )
| ( SV408 = SY530 )
| ( in @ SV408 @ SY530 ) ) )
= $false )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4018]) ).
thf(4341,plain,
! [SV1: $i,SV515: $i,SV459: $i] :
( ( ( ~ ( in @ SV459 @ SV515 ) )
= $true )
| ( ( in @ SV459 @ SV1 )
= $true )
| ( ( in @ SV515 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK196_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4019]) ).
thf(4342,plain,
! [SV601: $i,SV1: $i,SV701: $i] :
( ( ( ~ ( in @ SV701 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV601 @ SV701 )
| ( in @ SV601 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK196_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4020]) ).
thf(4343,plain,
! [SV1: $i,SV516: $i] :
( ( ( ~ ( in @ SV516 @ ( sK196_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY589: $i] :
( ~ ( in @ SY589 @ ( sK196_SY8 @ SV1 ) )
| ( SV516 = SY589 )
| ( in @ SV516 @ SY589 ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4021]) ).
thf(4344,plain,
! [SV1: $i,SV517: $i,SV460: $i] :
( ( ( ~ ( in @ SV460 @ SV517 ) )
= $true )
| ( ( in @ SV460 @ SV1 )
= $true )
| ( ( in @ SV517 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK197_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4022]) ).
thf(4345,plain,
! [SV602: $i,SV1: $i,SV702: $i] :
( ( ( ~ ( in @ SV702 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV602 @ SV702 )
| ( in @ SV602 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK197_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4023]) ).
thf(4346,plain,
! [SV1: $i,SV518: $i] :
( ( ( ~ ( in @ SV518 @ ( sK197_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY590: $i] :
( ~ ( in @ SY590 @ ( sK197_SY8 @ SV1 ) )
| ( SV518 = SY590 )
| ( in @ SV518 @ SY590 ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4024]) ).
thf(4347,plain,
! [SV519: $i,SV1: $i,SV603: $i] :
( ( ( in @ SV603 @ SV1 )
= $false )
| ( ( ~ ( in @ SV519 @ SV603 )
| ( in @ SV519 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK212_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4025]) ).
thf(4348,plain,
! [SV703: $i,SV1: $i,SV791: $i] :
( ( ( ~ ( in @ SV791 @ SV1 )
| ~ ( in @ SV703 @ SV791 )
| ( in @ SV703 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK212_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4026]) ).
thf(4349,plain,
! [SV1: $i,SV604: $i] :
( ( ( ~ ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
| ~ ! [SY659: $i] :
( ~ ( in @ SY659 @ ( sK212_SY8 @ SV1 ) )
| ( SV604 = SY659 )
| ( in @ SV604 @ SY659 ) ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4027]) ).
thf(4350,plain,
! [SV520: $i,SV1: $i,SV605: $i] :
( ( ( in @ SV605 @ SV1 )
= $false )
| ( ( ~ ( in @ SV520 @ SV605 )
| ( in @ SV520 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK213_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4028]) ).
thf(4351,plain,
! [SV704: $i,SV1: $i,SV792: $i] :
( ( ( ~ ( in @ SV792 @ SV1 )
| ~ ( in @ SV704 @ SV792 )
| ( in @ SV704 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK213_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4029]) ).
thf(4352,plain,
! [SV1: $i,SV606: $i] :
( ( ( ~ ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
| ~ ! [SY660: $i] :
( ~ ( in @ SY660 @ ( sK213_SY8 @ SV1 ) )
| ( SV606 = SY660 )
| ( in @ SV606 @ SY660 ) ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4030]) ).
thf(4353,plain,
! [SV521: $i,SV1: $i,SV607: $i] :
( ( ( in @ SV607 @ SV1 )
= $false )
| ( ( ~ ( in @ SV521 @ SV607 )
| ( in @ SV521 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK214_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4031]) ).
thf(4354,plain,
! [SV705: $i,SV1: $i,SV793: $i] :
( ( ( ~ ( in @ SV793 @ SV1 )
| ~ ( in @ SV705 @ SV793 )
| ( in @ SV705 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK214_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4032]) ).
thf(4355,plain,
! [SV1: $i,SV608: $i] :
( ( ( ~ ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
| ~ ! [SY661: $i] :
( ~ ( in @ SY661 @ ( sK214_SY8 @ SV1 ) )
| ( SV608 = SY661 )
| ( in @ SV608 @ SY661 ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4033]) ).
thf(4356,plain,
! [SV522: $i,SV1: $i,SV609: $i] :
( ( ( in @ SV609 @ SV1 )
= $false )
| ( ( ~ ( in @ SV522 @ SV609 )
| ( in @ SV522 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK215_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4034]) ).
thf(4357,plain,
! [SV706: $i,SV1: $i,SV794: $i] :
( ( ( ~ ( in @ SV794 @ SV1 )
| ~ ( in @ SV706 @ SV794 )
| ( in @ SV706 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK215_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4035]) ).
thf(4358,plain,
! [SV1: $i,SV610: $i] :
( ( ( ~ ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
| ~ ! [SY662: $i] :
( ~ ( in @ SY662 @ ( sK215_SY8 @ SV1 ) )
| ( SV610 = SY662 )
| ( in @ SV610 @ SY662 ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4036]) ).
thf(4359,plain,
! [SV1: $i,SV523: $i,SV461: $i] :
( ( ( ~ ( in @ SV461 @ SV523 ) )
= $true )
| ( ( in @ SV461 @ SV1 )
= $true )
| ( ( in @ SV523 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK198_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4037]) ).
thf(4360,plain,
! [SV611: $i,SV1: $i,SV707: $i] :
( ( ( ~ ( in @ SV707 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV611 @ SV707 )
| ( in @ SV611 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ( sK198_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4038]) ).
thf(4361,plain,
! [SV1: $i,SV524: $i] :
( ( ( ~ ( in @ SV524 @ ( sK198_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY595: $i] :
( ~ ( in @ SY595 @ ( sK198_SY8 @ SV1 ) )
| ( SV524 = SY595 )
| ( in @ SV524 @ SY595 ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4039]) ).
thf(4362,plain,
! [SV1: $i,SV525: $i,SV462: $i] :
( ( ( ~ ( in @ SV462 @ SV525 ) )
= $true )
| ( ( in @ SV462 @ SV1 )
= $true )
| ( ( in @ SV525 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK199_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4040]) ).
thf(4363,plain,
! [SV612: $i,SV1: $i,SV708: $i] :
( ( ( ~ ( in @ SV708 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV612 @ SV708 )
| ( in @ SV612 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ( sK199_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4041]) ).
thf(4364,plain,
! [SV1: $i,SV526: $i] :
( ( ( ~ ( in @ SV526 @ ( sK199_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY596: $i] :
( ~ ( in @ SY596 @ ( sK199_SY8 @ SV1 ) )
| ( SV526 = SY596 )
| ( in @ SV526 @ SY596 ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4042]) ).
thf(4365,plain,
! [SV1: $i,SV527: $i,SV463: $i] :
( ( ( ~ ( in @ SV463 @ SV527 ) )
= $true )
| ( ( in @ SV463 @ SV1 )
= $true )
| ( ( in @ SV527 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK182_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4044]) ).
thf(4366,plain,
! [SV410: $i,SV1: $i] :
( ( ( ! [SY531: $i] :
( ~ ( in @ SY531 @ ( sK182_SY8 @ SV1 ) )
| ( SV410 = SY531 )
| ( in @ SV410 @ SY531 ) ) )
= $false )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4045]) ).
thf(4367,plain,
! [SV1: $i,SV528: $i,SV464: $i] :
( ( ( ~ ( in @ SV464 @ SV528 ) )
= $true )
| ( ( in @ SV464 @ SV1 )
= $true )
| ( ( in @ SV528 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK183_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4047]) ).
thf(4368,plain,
! [SV412: $i,SV1: $i] :
( ( ( ! [SY532: $i] :
( ~ ( in @ SY532 @ ( sK183_SY8 @ SV1 ) )
| ( SV412 = SY532 )
| ( in @ SV412 @ SY532 ) ) )
= $false )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4048]) ).
thf(4369,plain,
! [SV1: $i,SV529: $i,SV465: $i] :
( ( ( ~ ( in @ SV465 @ SV529 ) )
= $true )
| ( ( in @ SV465 @ SV1 )
= $true )
| ( ( in @ SV529 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK200_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4049]) ).
thf(4370,plain,
! [SV613: $i,SV1: $i,SV709: $i] :
( ( ( ~ ( in @ SV709 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV613 @ SV709 )
| ( in @ SV613 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK200_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4050]) ).
thf(4371,plain,
! [SV1: $i,SV530: $i] :
( ( ( ~ ( in @ SV530 @ ( sK200_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY597: $i] :
( ~ ( in @ SY597 @ ( sK200_SY8 @ SV1 ) )
| ( SV530 = SY597 )
| ( in @ SV530 @ SY597 ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4051]) ).
thf(4372,plain,
! [SV1: $i,SV531: $i,SV466: $i] :
( ( ( ~ ( in @ SV466 @ SV531 ) )
= $true )
| ( ( in @ SV466 @ SV1 )
= $true )
| ( ( in @ SV531 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK201_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4052]) ).
thf(4373,plain,
! [SV614: $i,SV1: $i,SV710: $i] :
( ( ( ~ ( in @ SV710 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV614 @ SV710 )
| ( in @ SV614 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK201_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4053]) ).
thf(4374,plain,
! [SV1: $i,SV532: $i] :
( ( ( ~ ( in @ SV532 @ ( sK201_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY598: $i] :
( ~ ( in @ SY598 @ ( sK201_SY8 @ SV1 ) )
| ( SV532 = SY598 )
| ( in @ SV532 @ SY598 ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4054]) ).
thf(4375,plain,
! [SV533: $i,SV1: $i,SV615: $i] :
( ( ( in @ SV615 @ SV1 )
= $false )
| ( ( ~ ( in @ SV533 @ SV615 )
| ( in @ SV533 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK216_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4055]) ).
thf(4376,plain,
! [SV711: $i,SV1: $i,SV795: $i] :
( ( ( ~ ( in @ SV795 @ SV1 )
| ~ ( in @ SV711 @ SV795 )
| ( in @ SV711 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK216_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4056]) ).
thf(4377,plain,
! [SV1: $i,SV616: $i] :
( ( ( ~ ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
| ~ ! [SY667: $i] :
( ~ ( in @ SY667 @ ( sK216_SY8 @ SV1 ) )
| ( SV616 = SY667 )
| ( in @ SV616 @ SY667 ) ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4057]) ).
thf(4378,plain,
! [SV534: $i,SV1: $i,SV617: $i] :
( ( ( in @ SV617 @ SV1 )
= $false )
| ( ( ~ ( in @ SV534 @ SV617 )
| ( in @ SV534 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK217_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4058]) ).
thf(4379,plain,
! [SV712: $i,SV1: $i,SV796: $i] :
( ( ( ~ ( in @ SV796 @ SV1 )
| ~ ( in @ SV712 @ SV796 )
| ( in @ SV712 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK217_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4059]) ).
thf(4380,plain,
! [SV1: $i,SV618: $i] :
( ( ( ~ ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
| ~ ! [SY668: $i] :
( ~ ( in @ SY668 @ ( sK217_SY8 @ SV1 ) )
| ( SV618 = SY668 )
| ( in @ SV618 @ SY668 ) ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4060]) ).
thf(4381,plain,
! [SV535: $i,SV1: $i,SV619: $i] :
( ( ( in @ SV619 @ SV1 )
= $false )
| ( ( ~ ( in @ SV535 @ SV619 )
| ( in @ SV535 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK218_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4061]) ).
thf(4382,plain,
! [SV713: $i,SV1: $i,SV797: $i] :
( ( ( ~ ( in @ SV797 @ SV1 )
| ~ ( in @ SV713 @ SV797 )
| ( in @ SV713 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK218_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4062]) ).
thf(4383,plain,
! [SV1: $i,SV620: $i] :
( ( ( ~ ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
| ~ ! [SY669: $i] :
( ~ ( in @ SY669 @ ( sK218_SY8 @ SV1 ) )
| ( SV620 = SY669 )
| ( in @ SV620 @ SY669 ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4063]) ).
thf(4384,plain,
! [SV536: $i,SV1: $i,SV621: $i] :
( ( ( in @ SV621 @ SV1 )
= $false )
| ( ( ~ ( in @ SV536 @ SV621 )
| ( in @ SV536 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK219_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4064]) ).
thf(4385,plain,
! [SV714: $i,SV1: $i,SV798: $i] :
( ( ( ~ ( in @ SV798 @ SV1 )
| ~ ( in @ SV714 @ SV798 )
| ( in @ SV714 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK219_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4065]) ).
thf(4386,plain,
! [SV1: $i,SV622: $i] :
( ( ( ~ ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
| ~ ! [SY670: $i] :
( ~ ( in @ SY670 @ ( sK219_SY8 @ SV1 ) )
| ( SV622 = SY670 )
| ( in @ SV622 @ SY670 ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4066]) ).
thf(4387,plain,
! [SV1: $i,SV537: $i,SV467: $i] :
( ( ( ~ ( in @ SV467 @ SV537 ) )
= $true )
| ( ( in @ SV467 @ SV1 )
= $true )
| ( ( in @ SV537 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK202_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4067]) ).
thf(4388,plain,
! [SV623: $i,SV1: $i,SV715: $i] :
( ( ( ~ ( in @ SV715 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV623 @ SV715 )
| ( in @ SV623 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ( sK202_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4068]) ).
thf(4389,plain,
! [SV1: $i,SV538: $i] :
( ( ( ~ ( in @ SV538 @ ( sK202_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY603: $i] :
( ~ ( in @ SY603 @ ( sK202_SY8 @ SV1 ) )
| ( SV538 = SY603 )
| ( in @ SV538 @ SY603 ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4069]) ).
thf(4390,plain,
! [SV1: $i,SV539: $i,SV468: $i] :
( ( ( ~ ( in @ SV468 @ SV539 ) )
= $true )
| ( ( in @ SV468 @ SV1 )
= $true )
| ( ( in @ SV539 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK203_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4070]) ).
thf(4391,plain,
! [SV624: $i,SV1: $i,SV716: $i] :
( ( ( ~ ( in @ SV716 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV624 @ SV716 )
| ( in @ SV624 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ( sK203_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4071]) ).
thf(4392,plain,
! [SV1: $i,SV540: $i] :
( ( ( ~ ( in @ SV540 @ ( sK203_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY604: $i] :
( ~ ( in @ SY604 @ ( sK203_SY8 @ SV1 ) )
| ( SV540 = SY604 )
| ( in @ SV540 @ SY604 ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4072]) ).
thf(4393,plain,
! [SV178: $i,SV799: $i,SV1: $i] :
( ( ( ! [SY755: $i] :
( ~ ( in @ SY755 @ SV1 )
| ~ ( in @ SV799 @ SY755 )
| ( in @ SV799 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK254_SY327 @ SV178 @ SV1 ) @ ( sK118_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4073]) ).
thf(4394,plain,
! [SV178: $i,SV800: $i,SV1: $i] :
( ( ( ! [SY756: $i] :
( ~ ( in @ SY756 @ SV1 )
| ~ ( in @ SV800 @ SY756 )
| ( in @ SV800 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( SV178
= ( sK254_SY327 @ SV178 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4074]) ).
thf(4395,plain,
! [SV178: $i,SV801: $i,SV1: $i] :
( ( ( ! [SY757: $i] :
( ~ ( in @ SY757 @ SV1 )
| ~ ( in @ SV801 @ SY757 )
| ( in @ SV801 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV178 @ ( sK254_SY327 @ SV178 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4075]) ).
thf(4396,plain,
! [SV180: $i,SV802: $i,SV1: $i] :
( ( ( ! [SY758: $i] :
( ~ ( in @ SY758 @ SV1 )
| ~ ( in @ SV802 @ SY758 )
| ( in @ SV802 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK255_SY328 @ SV180 @ SV1 ) @ ( sK119_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4076]) ).
thf(4397,plain,
! [SV180: $i,SV803: $i,SV1: $i] :
( ( ( ! [SY759: $i] :
( ~ ( in @ SY759 @ SV1 )
| ~ ( in @ SV803 @ SY759 )
| ( in @ SV803 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( SV180
= ( sK255_SY328 @ SV180 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4077]) ).
thf(4398,plain,
! [SV180: $i,SV804: $i,SV1: $i] :
( ( ( ! [SY760: $i] :
( ~ ( in @ SY760 @ SV1 )
| ~ ( in @ SV804 @ SY760 )
| ( in @ SV804 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV180 @ ( sK255_SY328 @ SV180 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4078]) ).
thf(4399,plain,
! [SV1: $i,SV298: $i] :
( ( ( ~ ( in @ ( sK276_SY433 @ SV298 @ SV1 ) @ ( sK148_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4080]) ).
thf(4400,plain,
! [SV1: $i,SV298: $i] :
( ( ( ( SV298
= ( sK276_SY433 @ SV298 @ SV1 ) )
| ( in @ SV298 @ ( sK276_SY433 @ SV298 @ SV1 ) ) )
= $false )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4080]) ).
thf(4401,plain,
! [SV1: $i,SV300: $i] :
( ( ( ~ ( in @ ( sK277_SY434 @ SV300 @ SV1 ) @ ( sK149_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4082]) ).
thf(4402,plain,
! [SV1: $i,SV300: $i] :
( ( ( ( SV300
= ( sK277_SY434 @ SV300 @ SV1 ) )
| ( in @ SV300 @ ( sK277_SY434 @ SV300 @ SV1 ) ) )
= $false )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4082]) ).
thf(4403,plain,
! [SV1: $i,SV469: $i,SV415: $i] :
( ( ( in @ SV415 @ SV469 )
= $false )
| ( ( in @ SV415 @ SV1 )
= $true )
| ( ( in @ SV469 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK172_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4083]) ).
thf(4404,plain,
! [SV1: $i,SV364: $i] :
( ( ( ~ ( in @ ( sK292_SY507 @ SV364 @ SV1 ) @ ( sK172_SY8 @ SV1 ) )
| ( SV364
= ( sK292_SY507 @ SV364 @ SV1 ) )
| ( in @ SV364 @ ( sK292_SY507 @ SV364 @ SV1 ) ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4084]) ).
thf(4405,plain,
! [SV1: $i,SV470: $i,SV416: $i] :
( ( ( in @ SV416 @ SV470 )
= $false )
| ( ( in @ SV416 @ SV1 )
= $true )
| ( ( in @ SV470 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK173_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4085]) ).
thf(4406,plain,
! [SV1: $i,SV366: $i] :
( ( ( ~ ( in @ ( sK293_SY508 @ SV366 @ SV1 ) @ ( sK173_SY8 @ SV1 ) )
| ( SV366
= ( sK293_SY508 @ SV366 @ SV1 ) )
| ( in @ SV366 @ ( sK293_SY508 @ SV366 @ SV1 ) ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4086]) ).
thf(4407,plain,
! [SV1: $i,SV471: $i,SV417: $i] :
( ( ( in @ SV417 @ SV471 )
= $false )
| ( ( in @ SV417 @ SV1 )
= $true )
| ( ( in @ SV471 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK174_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4087]) ).
thf(4408,plain,
! [SV1: $i,SV368: $i] :
( ( ( ~ ( in @ ( sK294_SY509 @ SV368 @ SV1 ) @ ( sK174_SY8 @ SV1 ) )
| ( SV368
= ( sK294_SY509 @ SV368 @ SV1 ) )
| ( in @ SV368 @ ( sK294_SY509 @ SV368 @ SV1 ) ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4088]) ).
thf(4409,plain,
! [SV1: $i,SV472: $i,SV418: $i] :
( ( ( in @ SV418 @ SV472 )
= $false )
| ( ( in @ SV418 @ SV1 )
= $true )
| ( ( in @ SV472 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( ( sK175_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4089]) ).
thf(4410,plain,
! [SV1: $i,SV370: $i] :
( ( ( ~ ( in @ ( sK295_SY510 @ SV370 @ SV1 ) @ ( sK175_SY8 @ SV1 ) )
| ( SV370
= ( sK295_SY510 @ SV370 @ SV1 ) )
| ( in @ SV370 @ ( sK295_SY510 @ SV370 @ SV1 ) ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4090]) ).
thf(4411,plain,
! [SV1: $i,SV306: $i] :
( ( ( ~ ( in @ ( sK278_SY439 @ SV306 @ SV1 ) @ ( sK150_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4092]) ).
thf(4412,plain,
! [SV1: $i,SV306: $i] :
( ( ( ( SV306
= ( sK278_SY439 @ SV306 @ SV1 ) )
| ( in @ SV306 @ ( sK278_SY439 @ SV306 @ SV1 ) ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4092]) ).
thf(4413,plain,
! [SV1: $i,SV308: $i] :
( ( ( ~ ( in @ ( sK279_SY440 @ SV308 @ SV1 ) @ ( sK151_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4094]) ).
thf(4414,plain,
! [SV1: $i,SV308: $i] :
( ( ( ( SV308
= ( sK279_SY440 @ SV308 @ SV1 ) )
| ( in @ SV308 @ ( sK279_SY440 @ SV308 @ SV1 ) ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4094]) ).
thf(4415,plain,
! [SV18: $i,SV1: $i,SV473: $i,SV421: $i] :
( ( ( in @ SV421 @ SV473 )
= $false )
| ( ( in @ SV421 @ SV1 )
= $true )
| ( ( in @ SV473 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK184_SY93 @ SV18 @ SV1 ) @ ( sK40_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4095]) ).
thf(4416,plain,
! [SV18: $i,SV1: $i,SV474: $i,SV422: $i] :
( ( ( in @ SV422 @ SV474 )
= $false )
| ( ( in @ SV422 @ SV1 )
= $true )
| ( ( in @ SV474 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( SV18
= ( sK184_SY93 @ SV18 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4096]) ).
thf(4417,plain,
! [SV18: $i,SV1: $i,SV475: $i,SV423: $i] :
( ( ( in @ SV423 @ SV475 )
= $false )
| ( ( in @ SV423 @ SV1 )
= $true )
| ( ( in @ SV475 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV18 @ ( sK40_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV18 @ ( sK184_SY93 @ SV18 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4097]) ).
thf(4418,plain,
! [SV20: $i,SV1: $i,SV476: $i,SV424: $i] :
( ( ( in @ SV424 @ SV476 )
= $false )
| ( ( in @ SV424 @ SV1 )
= $true )
| ( ( in @ SV476 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK185_SY94 @ SV20 @ SV1 ) @ ( sK41_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4098]) ).
thf(4419,plain,
! [SV20: $i,SV1: $i,SV477: $i,SV425: $i] :
( ( ( in @ SV425 @ SV477 )
= $false )
| ( ( in @ SV425 @ SV1 )
= $true )
| ( ( in @ SV477 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( SV20
= ( sK185_SY94 @ SV20 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4099]) ).
thf(4420,plain,
! [SV20: $i,SV1: $i,SV478: $i,SV426: $i] :
( ( ( in @ SV426 @ SV478 )
= $false )
| ( ( in @ SV426 @ SV1 )
= $true )
| ( ( in @ SV478 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK18_SY7 @ SV1 ) @ ( sK18_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV20 @ ( sK41_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV20 @ ( sK185_SY94 @ SV20 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4100]) ).
thf(4421,plain,
! [SV44: $i,SV541: $i,SV1: $i,SV625: $i] :
( ( ( in @ SV625 @ SV1 )
= $false )
| ( ( ~ ( in @ SV541 @ SV625 )
| ( in @ SV541 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK220_SY161 @ SV44 @ SV1 ) @ ( sK60_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4101]) ).
thf(4422,plain,
! [SV44: $i,SV542: $i,SV1: $i,SV626: $i] :
( ( ( in @ SV626 @ SV1 )
= $false )
| ( ( ~ ( in @ SV542 @ SV626 )
| ( in @ SV542 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( SV44
= ( sK220_SY161 @ SV44 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4102]) ).
thf(4423,plain,
! [SV44: $i,SV543: $i,SV1: $i,SV627: $i] :
( ( ( in @ SV627 @ SV1 )
= $false )
| ( ( ~ ( in @ SV543 @ SV627 )
| ( in @ SV543 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV44 @ ( sK220_SY161 @ SV44 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4103]) ).
thf(4424,plain,
! [SV46: $i,SV544: $i,SV1: $i,SV628: $i] :
( ( ( in @ SV628 @ SV1 )
= $false )
| ( ( ~ ( in @ SV544 @ SV628 )
| ( in @ SV544 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK221_SY162 @ SV46 @ SV1 ) @ ( sK61_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4104]) ).
thf(4425,plain,
! [SV46: $i,SV545: $i,SV1: $i,SV629: $i] :
( ( ( in @ SV629 @ SV1 )
= $false )
| ( ( ~ ( in @ SV545 @ SV629 )
| ( in @ SV545 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( SV46
= ( sK221_SY162 @ SV46 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4105]) ).
thf(4426,plain,
! [SV46: $i,SV546: $i,SV1: $i,SV630: $i] :
( ( ( in @ SV630 @ SV1 )
= $false )
| ( ( ~ ( in @ SV546 @ SV630 )
| ( in @ SV546 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV46 @ ( sK221_SY162 @ SV46 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4106]) ).
thf(4427,plain,
! [SV80: $i,SV631: $i,SV1: $i,SV717: $i] :
( ( ( ~ ( in @ SV717 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV631 @ SV717 )
| ( in @ SV631 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK232_SY215 @ SV80 @ SV1 ) @ ( sK84_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4107]) ).
thf(4428,plain,
! [SV80: $i,SV632: $i,SV1: $i,SV718: $i] :
( ( ( ~ ( in @ SV718 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV632 @ SV718 )
| ( in @ SV632 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( SV80
= ( sK232_SY215 @ SV80 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4108]) ).
thf(4429,plain,
! [SV80: $i,SV633: $i,SV1: $i,SV719: $i] :
( ( ( ~ ( in @ SV719 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV633 @ SV719 )
| ( in @ SV633 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK232_SY215 @ SV80 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4109]) ).
thf(4430,plain,
! [SV82: $i,SV634: $i,SV1: $i,SV720: $i] :
( ( ( ~ ( in @ SV720 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV634 @ SV720 )
| ( in @ SV634 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK233_SY216 @ SV82 @ SV1 ) @ ( sK85_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4110]) ).
thf(4431,plain,
! [SV82: $i,SV635: $i,SV1: $i,SV721: $i] :
( ( ( ~ ( in @ SV721 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV635 @ SV721 )
| ( in @ SV635 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( SV82
= ( sK233_SY216 @ SV82 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4111]) ).
thf(4432,plain,
! [SV82: $i,SV636: $i,SV1: $i,SV722: $i] :
( ( ( ~ ( in @ SV722 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV636 @ SV722 )
| ( in @ SV636 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK233_SY216 @ SV82 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4112]) ).
thf(4433,plain,
! [SV84: $i,SV637: $i,SV1: $i,SV723: $i] :
( ( ( ~ ( in @ SV723 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV637 @ SV723 )
| ( in @ SV637 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK234_SY217 @ SV84 @ SV1 ) @ ( sK86_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4113]) ).
thf(4434,plain,
! [SV84: $i,SV638: $i,SV1: $i,SV724: $i] :
( ( ( ~ ( in @ SV724 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV638 @ SV724 )
| ( in @ SV638 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( SV84
= ( sK234_SY217 @ SV84 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4114]) ).
thf(4435,plain,
! [SV84: $i,SV639: $i,SV1: $i,SV725: $i] :
( ( ( ~ ( in @ SV725 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV639 @ SV725 )
| ( in @ SV639 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK234_SY217 @ SV84 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4115]) ).
thf(4436,plain,
! [SV86: $i,SV640: $i,SV1: $i,SV726: $i] :
( ( ( ~ ( in @ SV726 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV640 @ SV726 )
| ( in @ SV640 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK235_SY218 @ SV86 @ SV1 ) @ ( sK87_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4116]) ).
thf(4437,plain,
! [SV86: $i,SV641: $i,SV1: $i,SV727: $i] :
( ( ( ~ ( in @ SV727 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV641 @ SV727 )
| ( in @ SV641 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( SV86
= ( sK235_SY218 @ SV86 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4117]) ).
thf(4438,plain,
! [SV86: $i,SV642: $i,SV1: $i,SV728: $i] :
( ( ( ~ ( in @ SV728 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV642 @ SV728 )
| ( in @ SV642 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK235_SY218 @ SV86 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4118]) ).
thf(4439,plain,
! [SV52: $i,SV547: $i,SV1: $i,SV643: $i] :
( ( ( in @ SV643 @ SV1 )
= $false )
| ( ( ~ ( in @ SV547 @ SV643 )
| ( in @ SV547 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK222_SY167 @ SV52 @ SV1 ) @ ( sK62_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4119]) ).
thf(4440,plain,
! [SV52: $i,SV548: $i,SV1: $i,SV644: $i] :
( ( ( in @ SV644 @ SV1 )
= $false )
| ( ( ~ ( in @ SV548 @ SV644 )
| ( in @ SV548 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( SV52
= ( sK222_SY167 @ SV52 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4120]) ).
thf(4441,plain,
! [SV52: $i,SV549: $i,SV1: $i,SV645: $i] :
( ( ( in @ SV645 @ SV1 )
= $false )
| ( ( ~ ( in @ SV549 @ SV645 )
| ( in @ SV549 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK222_SY167 @ SV52 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4121]) ).
thf(4442,plain,
! [SV54: $i,SV550: $i,SV1: $i,SV646: $i] :
( ( ( in @ SV646 @ SV1 )
= $false )
| ( ( ~ ( in @ SV550 @ SV646 )
| ( in @ SV550 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK223_SY168 @ SV54 @ SV1 ) @ ( sK63_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4122]) ).
thf(4443,plain,
! [SV54: $i,SV551: $i,SV1: $i,SV647: $i] :
( ( ( in @ SV647 @ SV1 )
= $false )
| ( ( ~ ( in @ SV551 @ SV647 )
| ( in @ SV551 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( SV54
= ( sK223_SY168 @ SV54 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4123]) ).
thf(4444,plain,
! [SV54: $i,SV552: $i,SV1: $i,SV648: $i] :
( ( ( in @ SV648 @ SV1 )
= $false )
| ( ( ~ ( in @ SV552 @ SV648 )
| ( in @ SV552 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK223_SY168 @ SV54 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4124]) ).
thf(4445,plain,
! [SV56: $i,SV553: $i,SV1: $i,SV649: $i] :
( ( ( in @ SV649 @ SV1 )
= $false )
| ( ( ~ ( in @ SV553 @ SV649 )
| ( in @ SV553 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK224_SY169 @ SV56 @ SV1 ) @ ( sK64_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4125]) ).
thf(4446,plain,
! [SV56: $i,SV554: $i,SV1: $i,SV650: $i] :
( ( ( in @ SV650 @ SV1 )
= $false )
| ( ( ~ ( in @ SV554 @ SV650 )
| ( in @ SV554 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( SV56
= ( sK224_SY169 @ SV56 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4126]) ).
thf(4447,plain,
! [SV56: $i,SV555: $i,SV1: $i,SV651: $i] :
( ( ( in @ SV651 @ SV1 )
= $false )
| ( ( ~ ( in @ SV555 @ SV651 )
| ( in @ SV555 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV56 @ ( sK224_SY169 @ SV56 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4127]) ).
thf(4448,plain,
! [SV58: $i,SV556: $i,SV1: $i,SV652: $i] :
( ( ( in @ SV652 @ SV1 )
= $false )
| ( ( ~ ( in @ SV556 @ SV652 )
| ( in @ SV556 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK225_SY170 @ SV58 @ SV1 ) @ ( sK65_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4128]) ).
thf(4449,plain,
! [SV58: $i,SV557: $i,SV1: $i,SV653: $i] :
( ( ( in @ SV653 @ SV1 )
= $false )
| ( ( ~ ( in @ SV557 @ SV653 )
| ( in @ SV557 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( SV58
= ( sK225_SY170 @ SV58 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4129]) ).
thf(4450,plain,
! [SV58: $i,SV558: $i,SV1: $i,SV654: $i] :
( ( ( in @ SV654 @ SV1 )
= $false )
| ( ( ~ ( in @ SV558 @ SV654 )
| ( in @ SV558 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV58 @ ( sK225_SY170 @ SV58 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4130]) ).
thf(4451,plain,
! [SV132: $i,SV729: $i,SV1: $i,SV805: $i] :
( ( ( ~ ( in @ SV805 @ SV1 )
| ~ ( in @ SV729 @ SV805 )
| ( in @ SV729 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK240_SY285 @ SV132 @ SV1 ) @ ( sK100_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4131]) ).
thf(4452,plain,
! [SV132: $i,SV730: $i,SV1: $i,SV806: $i] :
( ( ( ~ ( in @ SV806 @ SV1 )
| ~ ( in @ SV730 @ SV806 )
| ( in @ SV730 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( SV132
= ( sK240_SY285 @ SV132 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4132]) ).
thf(4453,plain,
! [SV132: $i,SV731: $i,SV1: $i,SV807: $i] :
( ( ( ~ ( in @ SV807 @ SV1 )
| ~ ( in @ SV731 @ SV807 )
| ( in @ SV731 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV132 @ ( sK240_SY285 @ SV132 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4133]) ).
thf(4454,plain,
! [SV134: $i,SV732: $i,SV1: $i,SV808: $i] :
( ( ( ~ ( in @ SV808 @ SV1 )
| ~ ( in @ SV732 @ SV808 )
| ( in @ SV732 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK241_SY286 @ SV134 @ SV1 ) @ ( sK101_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4134]) ).
thf(4455,plain,
! [SV134: $i,SV733: $i,SV1: $i,SV809: $i] :
( ( ( ~ ( in @ SV809 @ SV1 )
| ~ ( in @ SV733 @ SV809 )
| ( in @ SV733 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( SV134
= ( sK241_SY286 @ SV134 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4135]) ).
thf(4456,plain,
! [SV134: $i,SV734: $i,SV1: $i,SV810: $i] :
( ( ( ~ ( in @ SV810 @ SV1 )
| ~ ( in @ SV734 @ SV810 )
| ( in @ SV734 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV134 @ ( sK241_SY286 @ SV134 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4136]) ).
thf(4457,plain,
! [SV188: $i,SV811: $i,SV1: $i] :
( ( ( ! [SY761: $i] :
( ~ ( in @ SY761 @ SV1 )
| ~ ( in @ SV811 @ SY761 )
| ( in @ SV811 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK256_SY331 @ SV188 @ SV1 ) @ ( sK120_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4137]) ).
thf(4458,plain,
! [SV188: $i,SV812: $i,SV1: $i] :
( ( ( ! [SY762: $i] :
( ~ ( in @ SY762 @ SV1 )
| ~ ( in @ SV812 @ SY762 )
| ( in @ SV812 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( SV188
= ( sK256_SY331 @ SV188 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4138]) ).
thf(4459,plain,
! [SV188: $i,SV813: $i,SV1: $i] :
( ( ( ! [SY763: $i] :
( ~ ( in @ SY763 @ SV1 )
| ~ ( in @ SV813 @ SY763 )
| ( in @ SV813 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK256_SY331 @ SV188 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4139]) ).
thf(4460,plain,
! [SV190: $i,SV814: $i,SV1: $i] :
( ( ( ! [SY764: $i] :
( ~ ( in @ SY764 @ SV1 )
| ~ ( in @ SV814 @ SY764 )
| ( in @ SV814 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK257_SY332 @ SV190 @ SV1 ) @ ( sK121_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4140]) ).
thf(4461,plain,
! [SV190: $i,SV815: $i,SV1: $i] :
( ( ( ! [SY765: $i] :
( ~ ( in @ SY765 @ SV1 )
| ~ ( in @ SV815 @ SY765 )
| ( in @ SV815 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( SV190
= ( sK257_SY332 @ SV190 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4141]) ).
thf(4462,plain,
! [SV190: $i,SV816: $i,SV1: $i] :
( ( ( ! [SY766: $i] :
( ~ ( in @ SY766 @ SV1 )
| ~ ( in @ SV816 @ SY766 )
| ( in @ SV816 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK257_SY332 @ SV190 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4142]) ).
thf(4463,plain,
! [SV192: $i,SV817: $i,SV1: $i] :
( ( ( ! [SY767: $i] :
( ~ ( in @ SY767 @ SV1 )
| ~ ( in @ SV817 @ SY767 )
| ( in @ SV817 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK258_SY333 @ SV192 @ SV1 ) @ ( sK122_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4143]) ).
thf(4464,plain,
! [SV192: $i,SV818: $i,SV1: $i] :
( ( ( ! [SY768: $i] :
( ~ ( in @ SY768 @ SV1 )
| ~ ( in @ SV818 @ SY768 )
| ( in @ SV818 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( SV192
= ( sK258_SY333 @ SV192 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4144]) ).
thf(4465,plain,
! [SV192: $i,SV819: $i,SV1: $i] :
( ( ( ! [SY769: $i] :
( ~ ( in @ SY769 @ SV1 )
| ~ ( in @ SV819 @ SY769 )
| ( in @ SV819 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK258_SY333 @ SV192 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4145]) ).
thf(4466,plain,
! [SV194: $i,SV820: $i,SV1: $i] :
( ( ( ! [SY770: $i] :
( ~ ( in @ SY770 @ SV1 )
| ~ ( in @ SV820 @ SY770 )
| ( in @ SV820 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK259_SY334 @ SV194 @ SV1 ) @ ( sK123_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4146]) ).
thf(4467,plain,
! [SV194: $i,SV821: $i,SV1: $i] :
( ( ( ! [SY771: $i] :
( ~ ( in @ SY771 @ SV1 )
| ~ ( in @ SV821 @ SY771 )
| ( in @ SV821 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( SV194
= ( sK259_SY334 @ SV194 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4147]) ).
thf(4468,plain,
! [SV194: $i,SV822: $i,SV1: $i] :
( ( ( ! [SY772: $i] :
( ~ ( in @ SY772 @ SV1 )
| ~ ( in @ SV822 @ SY772 )
| ( in @ SV822 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK259_SY334 @ SV194 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4148]) ).
thf(4469,plain,
! [SV140: $i,SV735: $i,SV1: $i,SV823: $i] :
( ( ( ~ ( in @ SV823 @ SV1 )
| ~ ( in @ SV735 @ SV823 )
| ( in @ SV735 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK242_SY291 @ SV140 @ SV1 ) @ ( sK102_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4149]) ).
thf(4470,plain,
! [SV140: $i,SV736: $i,SV1: $i,SV824: $i] :
( ( ( ~ ( in @ SV824 @ SV1 )
| ~ ( in @ SV736 @ SV824 )
| ( in @ SV736 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( SV140
= ( sK242_SY291 @ SV140 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4150]) ).
thf(4471,plain,
! [SV140: $i,SV737: $i,SV1: $i,SV825: $i] :
( ( ( ~ ( in @ SV825 @ SV1 )
| ~ ( in @ SV737 @ SV825 )
| ( in @ SV737 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK242_SY291 @ SV140 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4151]) ).
thf(4472,plain,
! [SV142: $i,SV738: $i,SV1: $i,SV826: $i] :
( ( ( ~ ( in @ SV826 @ SV1 )
| ~ ( in @ SV738 @ SV826 )
| ( in @ SV738 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK243_SY292 @ SV142 @ SV1 ) @ ( sK103_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4152]) ).
thf(4473,plain,
! [SV142: $i,SV739: $i,SV1: $i,SV827: $i] :
( ( ( ~ ( in @ SV827 @ SV1 )
| ~ ( in @ SV739 @ SV827 )
| ( in @ SV739 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( SV142
= ( sK243_SY292 @ SV142 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4153]) ).
thf(4474,plain,
! [SV142: $i,SV740: $i,SV1: $i,SV828: $i] :
( ( ( ~ ( in @ SV828 @ SV1 )
| ~ ( in @ SV740 @ SV828 )
| ( in @ SV740 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK243_SY292 @ SV142 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4154]) ).
thf(4475,plain,
! [SV144: $i,SV741: $i,SV1: $i,SV829: $i] :
( ( ( ~ ( in @ SV829 @ SV1 )
| ~ ( in @ SV741 @ SV829 )
| ( in @ SV741 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK244_SY293 @ SV144 @ SV1 ) @ ( sK104_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4155]) ).
thf(4476,plain,
! [SV144: $i,SV742: $i,SV1: $i,SV830: $i] :
( ( ( ~ ( in @ SV830 @ SV1 )
| ~ ( in @ SV742 @ SV830 )
| ( in @ SV742 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( SV144
= ( sK244_SY293 @ SV144 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4156]) ).
thf(4477,plain,
! [SV144: $i,SV743: $i,SV1: $i,SV831: $i] :
( ( ( ~ ( in @ SV831 @ SV1 )
| ~ ( in @ SV743 @ SV831 )
| ( in @ SV743 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV144 @ ( sK244_SY293 @ SV144 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4157]) ).
thf(4478,plain,
! [SV146: $i,SV744: $i,SV1: $i,SV832: $i] :
( ( ( ~ ( in @ SV832 @ SV1 )
| ~ ( in @ SV744 @ SV832 )
| ( in @ SV744 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK245_SY294 @ SV146 @ SV1 ) @ ( sK105_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4158]) ).
thf(4479,plain,
! [SV146: $i,SV745: $i,SV1: $i,SV833: $i] :
( ( ( ~ ( in @ SV833 @ SV1 )
| ~ ( in @ SV745 @ SV833 )
| ( in @ SV745 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( SV146
= ( sK245_SY294 @ SV146 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4159]) ).
thf(4480,plain,
! [SV146: $i,SV746: $i,SV1: $i,SV834: $i] :
( ( ( ~ ( in @ SV834 @ SV1 )
| ~ ( in @ SV746 @ SV834 )
| ( in @ SV746 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV146 @ ( sK245_SY294 @ SV146 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4160]) ).
thf(4481,plain,
! [SV1: $i,SV248: $i] :
( ( ( in @ ( sK264_SY373 @ SV248 @ SV1 ) @ ( sK128_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4161]) ).
thf(4482,plain,
! [SV1: $i,SV248: $i] :
( ( ( SV248
= ( sK264_SY373 @ SV248 @ SV1 ) )
= $false )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4162]) ).
thf(4483,plain,
! [SV1: $i,SV248: $i] :
( ( ( in @ SV248 @ ( sK264_SY373 @ SV248 @ SV1 ) )
= $false )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4162]) ).
thf(4484,plain,
! [SV1: $i,SV250: $i] :
( ( ( in @ ( sK265_SY374 @ SV250 @ SV1 ) @ ( sK129_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4163]) ).
thf(4485,plain,
! [SV1: $i,SV250: $i] :
( ( ( SV250
= ( sK265_SY374 @ SV250 @ SV1 ) )
= $false )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4164]) ).
thf(4486,plain,
! [SV1: $i,SV250: $i] :
( ( ( in @ SV250 @ ( sK265_SY374 @ SV250 @ SV1 ) )
= $false )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4164]) ).
thf(4487,plain,
! [SV1: $i,SV316: $i] :
( ( ( ~ ( in @ ( sK280_SY443 @ SV316 @ SV1 ) @ ( sK152_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4166]) ).
thf(4488,plain,
! [SV1: $i,SV316: $i] :
( ( ( ( SV316
= ( sK280_SY443 @ SV316 @ SV1 ) )
| ( in @ SV316 @ ( sK280_SY443 @ SV316 @ SV1 ) ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4166]) ).
thf(4489,plain,
! [SV1: $i,SV318: $i] :
( ( ( ~ ( in @ ( sK281_SY444 @ SV318 @ SV1 ) @ ( sK153_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4168]) ).
thf(4490,plain,
! [SV1: $i,SV318: $i] :
( ( ( ( SV318
= ( sK281_SY444 @ SV318 @ SV1 ) )
| ( in @ SV318 @ ( sK281_SY444 @ SV318 @ SV1 ) ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4168]) ).
thf(4491,plain,
! [SV1: $i,SV320: $i] :
( ( ( ~ ( in @ ( sK282_SY445 @ SV320 @ SV1 ) @ ( sK154_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4170]) ).
thf(4492,plain,
! [SV1: $i,SV320: $i] :
( ( ( ( SV320
= ( sK282_SY445 @ SV320 @ SV1 ) )
| ( in @ SV320 @ ( sK282_SY445 @ SV320 @ SV1 ) ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4170]) ).
thf(4493,plain,
! [SV1: $i,SV322: $i] :
( ( ( ~ ( in @ ( sK283_SY446 @ SV322 @ SV1 ) @ ( sK155_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4172]) ).
thf(4494,plain,
! [SV1: $i,SV322: $i] :
( ( ( ( SV322
= ( sK283_SY446 @ SV322 @ SV1 ) )
| ( in @ SV322 @ ( sK283_SY446 @ SV322 @ SV1 ) ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4172]) ).
thf(4495,plain,
! [SV1: $i,SV256: $i] :
( ( ( in @ ( sK266_SY379 @ SV256 @ SV1 ) @ ( sK130_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4173]) ).
thf(4496,plain,
! [SV1: $i,SV256: $i] :
( ( ( SV256
= ( sK266_SY379 @ SV256 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4174]) ).
thf(4497,plain,
! [SV1: $i,SV256: $i] :
( ( ( in @ SV256 @ ( sK266_SY379 @ SV256 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4174]) ).
thf(4498,plain,
! [SV1: $i,SV258: $i] :
( ( ( in @ ( sK267_SY380 @ SV258 @ SV1 ) @ ( sK131_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4175]) ).
thf(4499,plain,
! [SV1: $i,SV258: $i] :
( ( ( SV258
= ( sK267_SY380 @ SV258 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4176]) ).
thf(4500,plain,
! [SV1: $i,SV258: $i] :
( ( ( in @ SV258 @ ( sK267_SY380 @ SV258 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4176]) ).
thf(4501,plain,
! [SV1: $i,SV479: $i,SV431: $i] :
( ( ( in @ SV431 @ SV479 )
= $false )
| ( ( in @ SV431 @ SV1 )
= $true )
| ( ( in @ SV479 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK176_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4177]) ).
thf(4502,plain,
! [SV1: $i,SV382: $i] :
( ( ( ~ ( in @ ( sK296_SY517 @ SV382 @ SV1 ) @ ( sK176_SY8 @ SV1 ) )
| ( SV382
= ( sK296_SY517 @ SV382 @ SV1 ) )
| ( in @ SV382 @ ( sK296_SY517 @ SV382 @ SV1 ) ) )
= $false )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4178]) ).
thf(4503,plain,
! [SV1: $i,SV480: $i,SV432: $i] :
( ( ( in @ SV432 @ SV480 )
= $false )
| ( ( in @ SV432 @ SV1 )
= $true )
| ( ( in @ SV480 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK177_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4179]) ).
thf(4504,plain,
! [SV1: $i,SV384: $i] :
( ( ( ~ ( in @ ( sK297_SY518 @ SV384 @ SV1 ) @ ( sK177_SY8 @ SV1 ) )
| ( SV384
= ( sK297_SY518 @ SV384 @ SV1 ) )
| ( in @ SV384 @ ( sK297_SY518 @ SV384 @ SV1 ) ) )
= $false )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4180]) ).
thf(4505,plain,
! [SV1: $i,SV481: $i,SV433: $i] :
( ( ( in @ SV433 @ SV481 )
= $false )
| ( ( in @ SV433 @ SV1 )
= $true )
| ( ( in @ SV481 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK186_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4181]) ).
thf(4506,plain,
! [SV559: $i,SV1: $i,SV655: $i] :
( ( ( in @ SV655 @ SV1 )
= $false )
| ( ( ~ ( in @ SV559 @ SV655 )
| ( in @ SV559 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK186_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4182]) ).
thf(4507,plain,
! [SV1: $i,SV482: $i] :
( ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY573: $i] :
( ~ ( in @ SY573 @ ( sK186_SY8 @ SV1 ) )
| ( SV482 = SY573 )
| ( in @ SV482 @ SY573 ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4183]) ).
thf(4508,plain,
! [SV1: $i,SV483: $i,SV434: $i] :
( ( ( in @ SV434 @ SV483 )
= $false )
| ( ( in @ SV434 @ SV1 )
= $true )
| ( ( in @ SV483 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK187_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4184]) ).
thf(4509,plain,
! [SV560: $i,SV1: $i,SV656: $i] :
( ( ( in @ SV656 @ SV1 )
= $false )
| ( ( ~ ( in @ SV560 @ SV656 )
| ( in @ SV560 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK187_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4185]) ).
thf(4510,plain,
! [SV1: $i,SV484: $i] :
( ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY574: $i] :
( ~ ( in @ SY574 @ ( sK187_SY8 @ SV1 ) )
| ( SV484 = SY574 )
| ( in @ SV484 @ SY574 ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4186]) ).
thf(4511,plain,
! [SV1: $i,SV561: $i,SV485: $i] :
( ( ( ~ ( in @ SV485 @ SV561 ) )
= $true )
| ( ( in @ SV485 @ SV1 )
= $true )
| ( ( in @ SV561 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK204_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4187]) ).
thf(4512,plain,
! [SV657: $i,SV1: $i,SV747: $i] :
( ( ( ~ ( in @ SV747 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV657 @ SV747 )
| ( in @ SV657 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK204_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4188]) ).
thf(4513,plain,
! [SV1: $i,SV562: $i] :
( ( ( ~ ( in @ SV562 @ ( sK204_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY625: $i] :
( ~ ( in @ SY625 @ ( sK204_SY8 @ SV1 ) )
| ( SV562 = SY625 )
| ( in @ SV562 @ SY625 ) ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4189]) ).
thf(4514,plain,
! [SV1: $i,SV563: $i,SV486: $i] :
( ( ( ~ ( in @ SV486 @ SV563 ) )
= $true )
| ( ( in @ SV486 @ SV1 )
= $true )
| ( ( in @ SV563 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK205_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4190]) ).
thf(4515,plain,
! [SV658: $i,SV1: $i,SV748: $i] :
( ( ( ~ ( in @ SV748 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV658 @ SV748 )
| ( in @ SV658 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK205_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4191]) ).
thf(4516,plain,
! [SV1: $i,SV564: $i] :
( ( ( ~ ( in @ SV564 @ ( sK205_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY626: $i] :
( ~ ( in @ SY626 @ ( sK205_SY8 @ SV1 ) )
| ( SV564 = SY626 )
| ( in @ SV564 @ SY626 ) ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4192]) ).
thf(4517,plain,
! [SV1: $i,SV565: $i,SV487: $i] :
( ( ( ~ ( in @ SV487 @ SV565 ) )
= $true )
| ( ( in @ SV487 @ SV1 )
= $true )
| ( ( in @ SV565 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK206_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4193]) ).
thf(4518,plain,
! [SV659: $i,SV1: $i,SV749: $i] :
( ( ( ~ ( in @ SV749 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV659 @ SV749 )
| ( in @ SV659 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK206_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4194]) ).
thf(4519,plain,
! [SV1: $i,SV566: $i] :
( ( ( ~ ( in @ SV566 @ ( sK206_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY627: $i] :
( ~ ( in @ SY627 @ ( sK206_SY8 @ SV1 ) )
| ( SV566 = SY627 )
| ( in @ SV566 @ SY627 ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4195]) ).
thf(4520,plain,
! [SV1: $i,SV567: $i,SV488: $i] :
( ( ( ~ ( in @ SV488 @ SV567 ) )
= $true )
| ( ( in @ SV488 @ SV1 )
= $true )
| ( ( in @ SV567 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK207_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4196]) ).
thf(4521,plain,
! [SV660: $i,SV1: $i,SV750: $i] :
( ( ( ~ ( in @ SV750 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV660 @ SV750 )
| ( in @ SV660 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK207_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4197]) ).
thf(4522,plain,
! [SV1: $i,SV568: $i] :
( ( ( ~ ( in @ SV568 @ ( sK207_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY628: $i] :
( ~ ( in @ SY628 @ ( sK207_SY8 @ SV1 ) )
| ( SV568 = SY628 )
| ( in @ SV568 @ SY628 ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4198]) ).
thf(4523,plain,
! [SV1: $i,SV489: $i,SV435: $i] :
( ( ( in @ SV435 @ SV489 )
= $false )
| ( ( in @ SV435 @ SV1 )
= $true )
| ( ( in @ SV489 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK188_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4199]) ).
thf(4524,plain,
! [SV569: $i,SV1: $i,SV661: $i] :
( ( ( in @ SV661 @ SV1 )
= $false )
| ( ( ~ ( in @ SV569 @ SV661 )
| ( in @ SV569 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ( sK188_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4200]) ).
thf(4525,plain,
! [SV1: $i,SV490: $i] :
( ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY579: $i] :
( ~ ( in @ SY579 @ ( sK188_SY8 @ SV1 ) )
| ( SV490 = SY579 )
| ( in @ SV490 @ SY579 ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4201]) ).
thf(4526,plain,
! [SV1: $i,SV491: $i,SV436: $i] :
( ( ( in @ SV436 @ SV491 )
= $false )
| ( ( in @ SV436 @ SV1 )
= $true )
| ( ( in @ SV491 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK189_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4202]) ).
thf(4527,plain,
! [SV570: $i,SV1: $i,SV662: $i] :
( ( ( in @ SV662 @ SV1 )
= $false )
| ( ( ~ ( in @ SV570 @ SV662 )
| ( in @ SV570 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ( sK189_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4203]) ).
thf(4528,plain,
! [SV1: $i,SV492: $i] :
( ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY580: $i] :
( ~ ( in @ SY580 @ ( sK189_SY8 @ SV1 ) )
| ( SV492 = SY580 )
| ( in @ SV492 @ SY580 ) ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4204]) ).
thf(4529,plain,
! [SV1: $i,SV493: $i,SV437: $i] :
( ( ( in @ SV437 @ SV493 )
= $false )
| ( ( in @ SV437 @ SV1 )
= $true )
| ( ( in @ SV493 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK178_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4205]) ).
thf(4530,plain,
! [SV1: $i,SV386: $i] :
( ( ( ~ ( in @ ( sK298_SY519 @ SV386 @ SV1 ) @ ( sK178_SY8 @ SV1 ) )
| ( SV386
= ( sK298_SY519 @ SV386 @ SV1 ) )
| ( in @ SV386 @ ( sK298_SY519 @ SV386 @ SV1 ) ) )
= $false )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4206]) ).
thf(4531,plain,
! [SV1: $i,SV494: $i,SV438: $i] :
( ( ( in @ SV438 @ SV494 )
= $false )
| ( ( in @ SV438 @ SV1 )
= $true )
| ( ( in @ SV494 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK179_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4207]) ).
thf(4532,plain,
! [SV1: $i,SV388: $i] :
( ( ( ~ ( in @ ( sK299_SY520 @ SV388 @ SV1 ) @ ( sK179_SY8 @ SV1 ) )
| ( SV388
= ( sK299_SY520 @ SV388 @ SV1 ) )
| ( in @ SV388 @ ( sK299_SY520 @ SV388 @ SV1 ) ) )
= $false )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4208]) ).
thf(4533,plain,
! [SV1: $i,SV495: $i,SV439: $i] :
( ( ( in @ SV439 @ SV495 )
= $false )
| ( ( in @ SV439 @ SV1 )
= $true )
| ( ( in @ SV495 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK190_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4209]) ).
thf(4534,plain,
! [SV571: $i,SV1: $i,SV663: $i] :
( ( ( in @ SV663 @ SV1 )
= $false )
| ( ( ~ ( in @ SV571 @ SV663 )
| ( in @ SV571 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK190_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4210]) ).
thf(4535,plain,
! [SV1: $i,SV496: $i] :
( ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY581: $i] :
( ~ ( in @ SY581 @ ( sK190_SY8 @ SV1 ) )
| ( SV496 = SY581 )
| ( in @ SV496 @ SY581 ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4211]) ).
thf(4536,plain,
! [SV1: $i,SV497: $i,SV440: $i] :
( ( ( in @ SV440 @ SV497 )
= $false )
| ( ( in @ SV440 @ SV1 )
= $true )
| ( ( in @ SV497 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK191_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4212]) ).
thf(4537,plain,
! [SV572: $i,SV1: $i,SV664: $i] :
( ( ( in @ SV664 @ SV1 )
= $false )
| ( ( ~ ( in @ SV572 @ SV664 )
| ( in @ SV572 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK191_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4213]) ).
thf(4538,plain,
! [SV1: $i,SV498: $i] :
( ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY582: $i] :
( ~ ( in @ SY582 @ ( sK191_SY8 @ SV1 ) )
| ( SV498 = SY582 )
| ( in @ SV498 @ SY582 ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4214]) ).
thf(4539,plain,
! [SV1: $i,SV573: $i,SV499: $i] :
( ( ( ~ ( in @ SV499 @ SV573 ) )
= $true )
| ( ( in @ SV499 @ SV1 )
= $true )
| ( ( in @ SV573 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK208_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4215]) ).
thf(4540,plain,
! [SV665: $i,SV1: $i,SV751: $i] :
( ( ( ~ ( in @ SV751 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV665 @ SV751 )
| ( in @ SV665 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK208_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4216]) ).
thf(4541,plain,
! [SV1: $i,SV574: $i] :
( ( ( ~ ( in @ SV574 @ ( sK208_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY633: $i] :
( ~ ( in @ SY633 @ ( sK208_SY8 @ SV1 ) )
| ( SV574 = SY633 )
| ( in @ SV574 @ SY633 ) ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4217]) ).
thf(4542,plain,
! [SV1: $i,SV575: $i,SV500: $i] :
( ( ( ~ ( in @ SV500 @ SV575 ) )
= $true )
| ( ( in @ SV500 @ SV1 )
= $true )
| ( ( in @ SV575 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK209_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4218]) ).
thf(4543,plain,
! [SV666: $i,SV1: $i,SV752: $i] :
( ( ( ~ ( in @ SV752 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV666 @ SV752 )
| ( in @ SV666 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK209_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4219]) ).
thf(4544,plain,
! [SV1: $i,SV576: $i] :
( ( ( ~ ( in @ SV576 @ ( sK209_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY634: $i] :
( ~ ( in @ SY634 @ ( sK209_SY8 @ SV1 ) )
| ( SV576 = SY634 )
| ( in @ SV576 @ SY634 ) ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4220]) ).
thf(4545,plain,
! [SV1: $i,SV577: $i,SV501: $i] :
( ( ( ~ ( in @ SV501 @ SV577 ) )
= $true )
| ( ( in @ SV501 @ SV1 )
= $true )
| ( ( in @ SV577 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK210_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4221]) ).
thf(4546,plain,
! [SV667: $i,SV1: $i,SV753: $i] :
( ( ( ~ ( in @ SV753 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV667 @ SV753 )
| ( in @ SV667 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK210_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4222]) ).
thf(4547,plain,
! [SV1: $i,SV578: $i] :
( ( ( ~ ( in @ SV578 @ ( sK210_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY635: $i] :
( ~ ( in @ SY635 @ ( sK210_SY8 @ SV1 ) )
| ( SV578 = SY635 )
| ( in @ SV578 @ SY635 ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4223]) ).
thf(4548,plain,
! [SV1: $i,SV579: $i,SV502: $i] :
( ( ( ~ ( in @ SV502 @ SV579 ) )
= $true )
| ( ( in @ SV502 @ SV1 )
= $true )
| ( ( in @ SV579 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK211_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4224]) ).
thf(4549,plain,
! [SV668: $i,SV1: $i,SV754: $i] :
( ( ( ~ ( in @ SV754 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV668 @ SV754 )
| ( in @ SV668 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK211_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4225]) ).
thf(4550,plain,
! [SV1: $i,SV580: $i] :
( ( ( ~ ( in @ SV580 @ ( sK211_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY636: $i] :
( ~ ( in @ SY636 @ ( sK211_SY8 @ SV1 ) )
| ( SV580 = SY636 )
| ( in @ SV580 @ SY636 ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4226]) ).
thf(4551,plain,
! [SV1: $i,SV503: $i,SV441: $i] :
( ( ( in @ SV441 @ SV503 )
= $false )
| ( ( in @ SV441 @ SV1 )
= $true )
| ( ( in @ SV503 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK192_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4227]) ).
thf(4552,plain,
! [SV581: $i,SV1: $i,SV669: $i] :
( ( ( in @ SV669 @ SV1 )
= $false )
| ( ( ~ ( in @ SV581 @ SV669 )
| ( in @ SV581 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ( sK192_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4228]) ).
thf(4553,plain,
! [SV1: $i,SV504: $i] :
( ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY587: $i] :
( ~ ( in @ SY587 @ ( sK192_SY8 @ SV1 ) )
| ( SV504 = SY587 )
| ( in @ SV504 @ SY587 ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4229]) ).
thf(4554,plain,
! [SV1: $i,SV505: $i,SV442: $i] :
( ( ( in @ SV442 @ SV505 )
= $false )
| ( ( in @ SV442 @ SV1 )
= $true )
| ( ( in @ SV505 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK193_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4230]) ).
thf(4555,plain,
! [SV582: $i,SV1: $i,SV670: $i] :
( ( ( in @ SV670 @ SV1 )
= $false )
| ( ( ~ ( in @ SV582 @ SV670 )
| ( in @ SV582 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ( sK193_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4231]) ).
thf(4556,plain,
! [SV1: $i,SV506: $i] :
( ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY588: $i] :
( ~ ( in @ SY588 @ ( sK193_SY8 @ SV1 ) )
| ( SV506 = SY588 )
| ( in @ SV506 @ SY588 ) ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4232]) ).
thf(4557,plain,
! [SV148: $i,SV755: $i,SV1: $i,SV835: $i] :
( ( ( ~ ( in @ SV835 @ SV1 )
| ~ ( in @ SV755 @ SV835 )
| ( in @ SV755 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK246_SY303 @ SV148 @ SV1 ) @ ( sK108_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4233]) ).
thf(4558,plain,
! [SV148: $i,SV756: $i,SV1: $i,SV836: $i] :
( ( ( ~ ( in @ SV836 @ SV1 )
| ~ ( in @ SV756 @ SV836 )
| ( in @ SV756 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( SV148
= ( sK246_SY303 @ SV148 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4234]) ).
thf(4559,plain,
! [SV148: $i,SV757: $i,SV1: $i,SV837: $i] :
( ( ( ~ ( in @ SV837 @ SV1 )
| ~ ( in @ SV757 @ SV837 )
| ( in @ SV757 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV148 @ ( sK246_SY303 @ SV148 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4235]) ).
thf(4560,plain,
! [SV150: $i,SV758: $i,SV1: $i,SV838: $i] :
( ( ( ~ ( in @ SV838 @ SV1 )
| ~ ( in @ SV758 @ SV838 )
| ( in @ SV758 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK247_SY304 @ SV150 @ SV1 ) @ ( sK109_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4236]) ).
thf(4561,plain,
! [SV150: $i,SV759: $i,SV1: $i,SV839: $i] :
( ( ( ~ ( in @ SV839 @ SV1 )
| ~ ( in @ SV759 @ SV839 )
| ( in @ SV759 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( SV150
= ( sK247_SY304 @ SV150 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4237]) ).
thf(4562,plain,
! [SV150: $i,SV760: $i,SV1: $i,SV840: $i] :
( ( ( ~ ( in @ SV840 @ SV1 )
| ~ ( in @ SV760 @ SV840 )
| ( in @ SV760 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV150 @ ( sK247_SY304 @ SV150 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4238]) ).
thf(4563,plain,
! [SV1: $i,SV262: $i] :
( ( ( in @ ( sK268_SY397 @ SV262 @ SV1 ) @ ( sK136_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4239]) ).
thf(4564,plain,
! [SV1: $i,SV262: $i] :
( ( ( SV262
= ( sK268_SY397 @ SV262 @ SV1 ) )
= $false )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4240]) ).
thf(4565,plain,
! [SV1: $i,SV262: $i] :
( ( ( in @ SV262 @ ( sK268_SY397 @ SV262 @ SV1 ) )
= $false )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4240]) ).
thf(4566,plain,
! [SV1: $i,SV264: $i] :
( ( ( in @ ( sK269_SY398 @ SV264 @ SV1 ) @ ( sK137_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4241]) ).
thf(4567,plain,
! [SV1: $i,SV264: $i] :
( ( ( SV264
= ( sK269_SY398 @ SV264 @ SV1 ) )
= $false )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4242]) ).
thf(4568,plain,
! [SV1: $i,SV264: $i] :
( ( ( in @ SV264 @ ( sK269_SY398 @ SV264 @ SV1 ) )
= $false )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4242]) ).
thf(4569,plain,
! [SV1: $i,SV332: $i] :
( ( ( ~ ( in @ ( sK284_SY471 @ SV332 @ SV1 ) @ ( sK160_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4244]) ).
thf(4570,plain,
! [SV1: $i,SV332: $i] :
( ( ( ( SV332
= ( sK284_SY471 @ SV332 @ SV1 ) )
| ( in @ SV332 @ ( sK284_SY471 @ SV332 @ SV1 ) ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4244]) ).
thf(4571,plain,
! [SV1: $i,SV334: $i] :
( ( ( ~ ( in @ ( sK285_SY472 @ SV334 @ SV1 ) @ ( sK161_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4246]) ).
thf(4572,plain,
! [SV1: $i,SV334: $i] :
( ( ( ( SV334
= ( sK285_SY472 @ SV334 @ SV1 ) )
| ( in @ SV334 @ ( sK285_SY472 @ SV334 @ SV1 ) ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4246]) ).
thf(4573,plain,
! [SV1: $i,SV336: $i] :
( ( ( ~ ( in @ ( sK286_SY473 @ SV336 @ SV1 ) @ ( sK162_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4248]) ).
thf(4574,plain,
! [SV1: $i,SV336: $i] :
( ( ( ( SV336
= ( sK286_SY473 @ SV336 @ SV1 ) )
| ( in @ SV336 @ ( sK286_SY473 @ SV336 @ SV1 ) ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4248]) ).
thf(4575,plain,
! [SV1: $i,SV338: $i] :
( ( ( ~ ( in @ ( sK287_SY474 @ SV338 @ SV1 ) @ ( sK163_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4250]) ).
thf(4576,plain,
! [SV1: $i,SV338: $i] :
( ( ( ( SV338
= ( sK287_SY474 @ SV338 @ SV1 ) )
| ( in @ SV338 @ ( sK287_SY474 @ SV338 @ SV1 ) ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4250]) ).
thf(4577,plain,
! [SV1: $i,SV270: $i] :
( ( ( in @ ( sK270_SY403 @ SV270 @ SV1 ) @ ( sK138_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4251]) ).
thf(4578,plain,
! [SV1: $i,SV270: $i] :
( ( ( SV270
= ( sK270_SY403 @ SV270 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4252]) ).
thf(4579,plain,
! [SV1: $i,SV270: $i] :
( ( ( in @ SV270 @ ( sK270_SY403 @ SV270 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4252]) ).
thf(4580,plain,
! [SV1: $i,SV272: $i] :
( ( ( in @ ( sK271_SY404 @ SV272 @ SV1 ) @ ( sK139_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4253]) ).
thf(4581,plain,
! [SV1: $i,SV272: $i] :
( ( ( SV272
= ( sK271_SY404 @ SV272 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4254]) ).
thf(4582,plain,
! [SV1: $i,SV272: $i] :
( ( ( in @ SV272 @ ( sK271_SY404 @ SV272 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4254]) ).
thf(4583,plain,
! [SV22: $i,SV1: $i,SV507: $i,SV447: $i] :
( ( ( in @ SV447 @ SV507 )
= $false )
| ( ( in @ SV447 @ SV1 )
= $true )
| ( ( in @ SV507 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK194_SY111 @ SV22 @ SV1 ) @ ( sK48_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4255]) ).
thf(4584,plain,
! [SV22: $i,SV1: $i,SV508: $i,SV448: $i] :
( ( ( in @ SV448 @ SV508 )
= $false )
| ( ( in @ SV448 @ SV1 )
= $true )
| ( ( in @ SV508 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( SV22
= ( sK194_SY111 @ SV22 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4256]) ).
thf(4585,plain,
! [SV22: $i,SV1: $i,SV509: $i,SV449: $i] :
( ( ( in @ SV449 @ SV509 )
= $false )
| ( ( in @ SV449 @ SV1 )
= $true )
| ( ( in @ SV509 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV22 @ ( sK48_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV22 @ ( sK194_SY111 @ SV22 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4257]) ).
thf(4586,plain,
! [SV24: $i,SV1: $i,SV510: $i,SV450: $i] :
( ( ( in @ SV450 @ SV510 )
= $false )
| ( ( in @ SV450 @ SV1 )
= $true )
| ( ( in @ SV510 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK195_SY112 @ SV24 @ SV1 ) @ ( sK49_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4258]) ).
thf(4587,plain,
! [SV24: $i,SV1: $i,SV511: $i,SV451: $i] :
( ( ( in @ SV451 @ SV511 )
= $false )
| ( ( in @ SV451 @ SV1 )
= $true )
| ( ( in @ SV511 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( SV24
= ( sK195_SY112 @ SV24 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4259]) ).
thf(4588,plain,
! [SV24: $i,SV1: $i,SV512: $i,SV452: $i] :
( ( ( in @ SV452 @ SV512 )
= $false )
| ( ( in @ SV452 @ SV1 )
= $true )
| ( ( in @ SV512 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK22_SY7 @ SV1 ) @ ( sK22_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV24 @ ( sK49_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV24 @ ( sK195_SY112 @ SV24 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4260]) ).
thf(4589,plain,
! [SV62: $i,SV583: $i,SV1: $i,SV671: $i] :
( ( ( in @ SV671 @ SV1 )
= $false )
| ( ( ~ ( in @ SV583 @ SV671 )
| ( in @ SV583 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK226_SY187 @ SV62 @ SV1 ) @ ( sK72_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4261]) ).
thf(4590,plain,
! [SV62: $i,SV584: $i,SV1: $i,SV672: $i] :
( ( ( in @ SV672 @ SV1 )
= $false )
| ( ( ~ ( in @ SV584 @ SV672 )
| ( in @ SV584 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( SV62
= ( sK226_SY187 @ SV62 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4262]) ).
thf(4591,plain,
! [SV62: $i,SV585: $i,SV1: $i,SV673: $i] :
( ( ( in @ SV673 @ SV1 )
= $false )
| ( ( ~ ( in @ SV585 @ SV673 )
| ( in @ SV585 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV62 @ ( sK226_SY187 @ SV62 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4263]) ).
thf(4592,plain,
! [SV64: $i,SV586: $i,SV1: $i,SV674: $i] :
( ( ( in @ SV674 @ SV1 )
= $false )
| ( ( ~ ( in @ SV586 @ SV674 )
| ( in @ SV586 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK227_SY188 @ SV64 @ SV1 ) @ ( sK73_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4264]) ).
thf(4593,plain,
! [SV64: $i,SV587: $i,SV1: $i,SV675: $i] :
( ( ( in @ SV675 @ SV1 )
= $false )
| ( ( ~ ( in @ SV587 @ SV675 )
| ( in @ SV587 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( SV64
= ( sK227_SY188 @ SV64 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4265]) ).
thf(4594,plain,
! [SV64: $i,SV588: $i,SV1: $i,SV676: $i] :
( ( ( in @ SV676 @ SV1 )
= $false )
| ( ( ~ ( in @ SV588 @ SV676 )
| ( in @ SV588 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV64 @ ( sK227_SY188 @ SV64 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4266]) ).
thf(4595,plain,
! [SV102: $i,SV677: $i,SV1: $i,SV761: $i] :
( ( ( ~ ( in @ SV761 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV677 @ SV761 )
| ( in @ SV677 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK236_SY249 @ SV102 @ SV1 ) @ ( sK92_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4267]) ).
thf(4596,plain,
! [SV102: $i,SV678: $i,SV1: $i,SV762: $i] :
( ( ( ~ ( in @ SV762 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV678 @ SV762 )
| ( in @ SV678 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( SV102
= ( sK236_SY249 @ SV102 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4268]) ).
thf(4597,plain,
! [SV102: $i,SV679: $i,SV1: $i,SV763: $i] :
( ( ( ~ ( in @ SV763 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV679 @ SV763 )
| ( in @ SV679 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK236_SY249 @ SV102 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4269]) ).
thf(4598,plain,
! [SV104: $i,SV680: $i,SV1: $i,SV764: $i] :
( ( ( ~ ( in @ SV764 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV680 @ SV764 )
| ( in @ SV680 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK237_SY250 @ SV104 @ SV1 ) @ ( sK93_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4270]) ).
thf(4599,plain,
! [SV104: $i,SV681: $i,SV1: $i,SV765: $i] :
( ( ( ~ ( in @ SV765 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV681 @ SV765 )
| ( in @ SV681 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( SV104
= ( sK237_SY250 @ SV104 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4271]) ).
thf(4600,plain,
! [SV104: $i,SV682: $i,SV1: $i,SV766: $i] :
( ( ( ~ ( in @ SV766 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV682 @ SV766 )
| ( in @ SV682 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK237_SY250 @ SV104 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4272]) ).
thf(4601,plain,
! [SV106: $i,SV683: $i,SV1: $i,SV767: $i] :
( ( ( ~ ( in @ SV767 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV683 @ SV767 )
| ( in @ SV683 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK238_SY251 @ SV106 @ SV1 ) @ ( sK94_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4273]) ).
thf(4602,plain,
! [SV106: $i,SV684: $i,SV1: $i,SV768: $i] :
( ( ( ~ ( in @ SV768 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV684 @ SV768 )
| ( in @ SV684 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( SV106
= ( sK238_SY251 @ SV106 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4274]) ).
thf(4603,plain,
! [SV106: $i,SV685: $i,SV1: $i,SV769: $i] :
( ( ( ~ ( in @ SV769 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV685 @ SV769 )
| ( in @ SV685 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK238_SY251 @ SV106 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4275]) ).
thf(4604,plain,
! [SV108: $i,SV686: $i,SV1: $i,SV770: $i] :
( ( ( ~ ( in @ SV770 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV686 @ SV770 )
| ( in @ SV686 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK239_SY252 @ SV108 @ SV1 ) @ ( sK95_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4276]) ).
thf(4605,plain,
! [SV108: $i,SV687: $i,SV1: $i,SV771: $i] :
( ( ( ~ ( in @ SV771 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV687 @ SV771 )
| ( in @ SV687 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( SV108
= ( sK239_SY252 @ SV108 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4277]) ).
thf(4606,plain,
! [SV108: $i,SV688: $i,SV1: $i,SV772: $i] :
( ( ( ~ ( in @ SV772 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV688 @ SV772 )
| ( in @ SV688 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK239_SY252 @ SV108 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4278]) ).
thf(4607,plain,
! [SV70: $i,SV589: $i,SV1: $i,SV689: $i] :
( ( ( in @ SV689 @ SV1 )
= $false )
| ( ( ~ ( in @ SV589 @ SV689 )
| ( in @ SV589 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK228_SY193 @ SV70 @ SV1 ) @ ( sK74_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4279]) ).
thf(4608,plain,
! [SV70: $i,SV590: $i,SV1: $i,SV690: $i] :
( ( ( in @ SV690 @ SV1 )
= $false )
| ( ( ~ ( in @ SV590 @ SV690 )
| ( in @ SV590 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( SV70
= ( sK228_SY193 @ SV70 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4280]) ).
thf(4609,plain,
! [SV70: $i,SV591: $i,SV1: $i,SV691: $i] :
( ( ( in @ SV691 @ SV1 )
= $false )
| ( ( ~ ( in @ SV591 @ SV691 )
| ( in @ SV591 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK228_SY193 @ SV70 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4281]) ).
thf(4610,plain,
! [SV72: $i,SV592: $i,SV1: $i,SV692: $i] :
( ( ( in @ SV692 @ SV1 )
= $false )
| ( ( ~ ( in @ SV592 @ SV692 )
| ( in @ SV592 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK229_SY194 @ SV72 @ SV1 ) @ ( sK75_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4282]) ).
thf(4611,plain,
! [SV72: $i,SV593: $i,SV1: $i,SV693: $i] :
( ( ( in @ SV693 @ SV1 )
= $false )
| ( ( ~ ( in @ SV593 @ SV693 )
| ( in @ SV593 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( SV72
= ( sK229_SY194 @ SV72 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4283]) ).
thf(4612,plain,
! [SV72: $i,SV594: $i,SV1: $i,SV694: $i] :
( ( ( in @ SV694 @ SV1 )
= $false )
| ( ( ~ ( in @ SV594 @ SV694 )
| ( in @ SV594 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK229_SY194 @ SV72 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4284]) ).
thf(4613,plain,
! [SV74: $i,SV595: $i,SV1: $i,SV695: $i] :
( ( ( in @ SV695 @ SV1 )
= $false )
| ( ( ~ ( in @ SV595 @ SV695 )
| ( in @ SV595 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK230_SY195 @ SV74 @ SV1 ) @ ( sK76_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4285]) ).
thf(4614,plain,
! [SV74: $i,SV596: $i,SV1: $i,SV696: $i] :
( ( ( in @ SV696 @ SV1 )
= $false )
| ( ( ~ ( in @ SV596 @ SV696 )
| ( in @ SV596 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( SV74
= ( sK230_SY195 @ SV74 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4286]) ).
thf(4615,plain,
! [SV74: $i,SV597: $i,SV1: $i,SV697: $i] :
( ( ( in @ SV697 @ SV1 )
= $false )
| ( ( ~ ( in @ SV597 @ SV697 )
| ( in @ SV597 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV74 @ ( sK230_SY195 @ SV74 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4287]) ).
thf(4616,plain,
! [SV76: $i,SV598: $i,SV1: $i,SV698: $i] :
( ( ( in @ SV698 @ SV1 )
= $false )
| ( ( ~ ( in @ SV598 @ SV698 )
| ( in @ SV598 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK231_SY196 @ SV76 @ SV1 ) @ ( sK77_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4288]) ).
thf(4617,plain,
! [SV76: $i,SV599: $i,SV1: $i,SV699: $i] :
( ( ( in @ SV699 @ SV1 )
= $false )
| ( ( ~ ( in @ SV599 @ SV699 )
| ( in @ SV599 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( SV76
= ( sK231_SY196 @ SV76 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4289]) ).
thf(4618,plain,
! [SV76: $i,SV600: $i,SV1: $i,SV700: $i] :
( ( ( in @ SV700 @ SV1 )
= $false )
| ( ( ~ ( in @ SV600 @ SV700 )
| ( in @ SV600 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV76 @ ( sK231_SY196 @ SV76 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4290]) ).
thf(4619,plain,
! [SV162: $i,SV773: $i,SV1: $i,SV841: $i] :
( ( ( ~ ( in @ SV841 @ SV1 )
| ~ ( in @ SV773 @ SV841 )
| ( in @ SV773 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK248_SY309 @ SV162 @ SV1 ) @ ( sK110_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4291]) ).
thf(4620,plain,
! [SV162: $i,SV774: $i,SV1: $i,SV842: $i] :
( ( ( ~ ( in @ SV842 @ SV1 )
| ~ ( in @ SV774 @ SV842 )
| ( in @ SV774 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( SV162
= ( sK248_SY309 @ SV162 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4292]) ).
thf(4621,plain,
! [SV162: $i,SV775: $i,SV1: $i,SV843: $i] :
( ( ( ~ ( in @ SV843 @ SV1 )
| ~ ( in @ SV775 @ SV843 )
| ( in @ SV775 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV162 @ ( sK248_SY309 @ SV162 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4293]) ).
thf(4622,plain,
! [SV164: $i,SV776: $i,SV1: $i,SV844: $i] :
( ( ( ~ ( in @ SV844 @ SV1 )
| ~ ( in @ SV776 @ SV844 )
| ( in @ SV776 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK249_SY310 @ SV164 @ SV1 ) @ ( sK111_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4294]) ).
thf(4623,plain,
! [SV164: $i,SV777: $i,SV1: $i,SV845: $i] :
( ( ( ~ ( in @ SV845 @ SV1 )
| ~ ( in @ SV777 @ SV845 )
| ( in @ SV777 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( SV164
= ( sK249_SY310 @ SV164 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4295]) ).
thf(4624,plain,
! [SV164: $i,SV778: $i,SV1: $i,SV846: $i] :
( ( ( ~ ( in @ SV846 @ SV1 )
| ~ ( in @ SV778 @ SV846 )
| ( in @ SV778 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV164 @ ( sK249_SY310 @ SV164 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4296]) ).
thf(4625,plain,
! [SV216: $i,SV847: $i,SV1: $i] :
( ( ( ! [SY773: $i] :
( ~ ( in @ SY773 @ SV1 )
| ~ ( in @ SV847 @ SY773 )
| ( in @ SV847 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK260_SY351 @ SV216 @ SV1 ) @ ( sK124_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4297]) ).
thf(4626,plain,
! [SV216: $i,SV848: $i,SV1: $i] :
( ( ( ! [SY774: $i] :
( ~ ( in @ SY774 @ SV1 )
| ~ ( in @ SV848 @ SY774 )
| ( in @ SV848 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( SV216
= ( sK260_SY351 @ SV216 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4298]) ).
thf(4627,plain,
! [SV216: $i,SV849: $i,SV1: $i] :
( ( ( ! [SY775: $i] :
( ~ ( in @ SY775 @ SV1 )
| ~ ( in @ SV849 @ SY775 )
| ( in @ SV849 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK260_SY351 @ SV216 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4299]) ).
thf(4628,plain,
! [SV218: $i,SV850: $i,SV1: $i] :
( ( ( ! [SY776: $i] :
( ~ ( in @ SY776 @ SV1 )
| ~ ( in @ SV850 @ SY776 )
| ( in @ SV850 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK261_SY352 @ SV218 @ SV1 ) @ ( sK125_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4300]) ).
thf(4629,plain,
! [SV218: $i,SV851: $i,SV1: $i] :
( ( ( ! [SY777: $i] :
( ~ ( in @ SY777 @ SV1 )
| ~ ( in @ SV851 @ SY777 )
| ( in @ SV851 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( SV218
= ( sK261_SY352 @ SV218 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4301]) ).
thf(4630,plain,
! [SV218: $i,SV852: $i,SV1: $i] :
( ( ( ! [SY778: $i] :
( ~ ( in @ SY778 @ SV1 )
| ~ ( in @ SV852 @ SY778 )
| ( in @ SV852 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK261_SY352 @ SV218 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4302]) ).
thf(4631,plain,
! [SV220: $i,SV853: $i,SV1: $i] :
( ( ( ! [SY779: $i] :
( ~ ( in @ SY779 @ SV1 )
| ~ ( in @ SV853 @ SY779 )
| ( in @ SV853 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK262_SY353 @ SV220 @ SV1 ) @ ( sK126_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4303]) ).
thf(4632,plain,
! [SV220: $i,SV854: $i,SV1: $i] :
( ( ( ! [SY780: $i] :
( ~ ( in @ SY780 @ SV1 )
| ~ ( in @ SV854 @ SY780 )
| ( in @ SV854 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( SV220
= ( sK262_SY353 @ SV220 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4304]) ).
thf(4633,plain,
! [SV220: $i,SV855: $i,SV1: $i] :
( ( ( ! [SY781: $i] :
( ~ ( in @ SY781 @ SV1 )
| ~ ( in @ SV855 @ SY781 )
| ( in @ SV855 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK262_SY353 @ SV220 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4305]) ).
thf(4634,plain,
! [SV222: $i,SV856: $i,SV1: $i] :
( ( ( ! [SY782: $i] :
( ~ ( in @ SY782 @ SV1 )
| ~ ( in @ SV856 @ SY782 )
| ( in @ SV856 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK263_SY354 @ SV222 @ SV1 ) @ ( sK127_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4306]) ).
thf(4635,plain,
! [SV222: $i,SV857: $i,SV1: $i] :
( ( ( ! [SY783: $i] :
( ~ ( in @ SY783 @ SV1 )
| ~ ( in @ SV857 @ SY783 )
| ( in @ SV857 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( SV222
= ( sK263_SY354 @ SV222 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4307]) ).
thf(4636,plain,
! [SV222: $i,SV858: $i,SV1: $i] :
( ( ( ! [SY784: $i] :
( ~ ( in @ SY784 @ SV1 )
| ~ ( in @ SV858 @ SY784 )
| ( in @ SV858 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK263_SY354 @ SV222 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4308]) ).
thf(4637,plain,
! [SV170: $i,SV779: $i,SV1: $i,SV859: $i] :
( ( ( ~ ( in @ SV859 @ SV1 )
| ~ ( in @ SV779 @ SV859 )
| ( in @ SV779 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK250_SY315 @ SV170 @ SV1 ) @ ( sK112_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4309]) ).
thf(4638,plain,
! [SV170: $i,SV780: $i,SV1: $i,SV860: $i] :
( ( ( ~ ( in @ SV860 @ SV1 )
| ~ ( in @ SV780 @ SV860 )
| ( in @ SV780 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( SV170
= ( sK250_SY315 @ SV170 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4310]) ).
thf(4639,plain,
! [SV170: $i,SV781: $i,SV1: $i,SV861: $i] :
( ( ( ~ ( in @ SV861 @ SV1 )
| ~ ( in @ SV781 @ SV861 )
| ( in @ SV781 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK250_SY315 @ SV170 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4311]) ).
thf(4640,plain,
! [SV172: $i,SV782: $i,SV1: $i,SV862: $i] :
( ( ( ~ ( in @ SV862 @ SV1 )
| ~ ( in @ SV782 @ SV862 )
| ( in @ SV782 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK251_SY316 @ SV172 @ SV1 ) @ ( sK113_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4312]) ).
thf(4641,plain,
! [SV172: $i,SV783: $i,SV1: $i,SV863: $i] :
( ( ( ~ ( in @ SV863 @ SV1 )
| ~ ( in @ SV783 @ SV863 )
| ( in @ SV783 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( SV172
= ( sK251_SY316 @ SV172 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4313]) ).
thf(4642,plain,
! [SV172: $i,SV784: $i,SV1: $i,SV864: $i] :
( ( ( ~ ( in @ SV864 @ SV1 )
| ~ ( in @ SV784 @ SV864 )
| ( in @ SV784 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK251_SY316 @ SV172 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4314]) ).
thf(4643,plain,
! [SV174: $i,SV785: $i,SV1: $i,SV865: $i] :
( ( ( ~ ( in @ SV865 @ SV1 )
| ~ ( in @ SV785 @ SV865 )
| ( in @ SV785 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK252_SY317 @ SV174 @ SV1 ) @ ( sK114_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4315]) ).
thf(4644,plain,
! [SV174: $i,SV786: $i,SV1: $i,SV866: $i] :
( ( ( ~ ( in @ SV866 @ SV1 )
| ~ ( in @ SV786 @ SV866 )
| ( in @ SV786 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( SV174
= ( sK252_SY317 @ SV174 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4316]) ).
thf(4645,plain,
! [SV174: $i,SV787: $i,SV1: $i,SV867: $i] :
( ( ( ~ ( in @ SV867 @ SV1 )
| ~ ( in @ SV787 @ SV867 )
| ( in @ SV787 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV174 @ ( sK252_SY317 @ SV174 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4317]) ).
thf(4646,plain,
! [SV176: $i,SV788: $i,SV1: $i,SV868: $i] :
( ( ( ~ ( in @ SV868 @ SV1 )
| ~ ( in @ SV788 @ SV868 )
| ( in @ SV788 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK253_SY318 @ SV176 @ SV1 ) @ ( sK115_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4318]) ).
thf(4647,plain,
! [SV176: $i,SV789: $i,SV1: $i,SV869: $i] :
( ( ( ~ ( in @ SV869 @ SV1 )
| ~ ( in @ SV789 @ SV869 )
| ( in @ SV789 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( SV176
= ( sK253_SY318 @ SV176 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4319]) ).
thf(4648,plain,
! [SV176: $i,SV790: $i,SV1: $i,SV870: $i] :
( ( ( ~ ( in @ SV870 @ SV1 )
| ~ ( in @ SV790 @ SV870 )
| ( in @ SV790 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV176 @ ( sK253_SY318 @ SV176 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4320]) ).
thf(4649,plain,
! [SV1: $i,SV284: $i] :
( ( ( in @ ( sK272_SY409 @ SV284 @ SV1 ) @ ( sK140_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4321]) ).
thf(4650,plain,
! [SV1: $i,SV284: $i] :
( ( ( SV284
= ( sK272_SY409 @ SV284 @ SV1 ) )
= $false )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4322]) ).
thf(4651,plain,
! [SV1: $i,SV284: $i] :
( ( ( in @ SV284 @ ( sK272_SY409 @ SV284 @ SV1 ) )
= $false )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4322]) ).
thf(4652,plain,
! [SV1: $i,SV286: $i] :
( ( ( in @ ( sK273_SY410 @ SV286 @ SV1 ) @ ( sK141_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4323]) ).
thf(4653,plain,
! [SV1: $i,SV286: $i] :
( ( ( SV286
= ( sK273_SY410 @ SV286 @ SV1 ) )
= $false )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4324]) ).
thf(4654,plain,
! [SV1: $i,SV286: $i] :
( ( ( in @ SV286 @ ( sK273_SY410 @ SV286 @ SV1 ) )
= $false )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4324]) ).
thf(4655,plain,
! [SV1: $i,SV348: $i] :
( ( ( ~ ( in @ ( sK288_SY479 @ SV348 @ SV1 ) @ ( sK164_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4326]) ).
thf(4656,plain,
! [SV1: $i,SV348: $i] :
( ( ( ( SV348
= ( sK288_SY479 @ SV348 @ SV1 ) )
| ( in @ SV348 @ ( sK288_SY479 @ SV348 @ SV1 ) ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4326]) ).
thf(4657,plain,
! [SV1: $i,SV350: $i] :
( ( ( ~ ( in @ ( sK289_SY480 @ SV350 @ SV1 ) @ ( sK165_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4328]) ).
thf(4658,plain,
! [SV1: $i,SV350: $i] :
( ( ( ( SV350
= ( sK289_SY480 @ SV350 @ SV1 ) )
| ( in @ SV350 @ ( sK289_SY480 @ SV350 @ SV1 ) ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4328]) ).
thf(4659,plain,
! [SV1: $i,SV352: $i] :
( ( ( ~ ( in @ ( sK290_SY481 @ SV352 @ SV1 ) @ ( sK166_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4330]) ).
thf(4660,plain,
! [SV1: $i,SV352: $i] :
( ( ( ( SV352
= ( sK290_SY481 @ SV352 @ SV1 ) )
| ( in @ SV352 @ ( sK290_SY481 @ SV352 @ SV1 ) ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4330]) ).
thf(4661,plain,
! [SV1: $i,SV354: $i] :
( ( ( ~ ( in @ ( sK291_SY482 @ SV354 @ SV1 ) @ ( sK167_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4332]) ).
thf(4662,plain,
! [SV1: $i,SV354: $i] :
( ( ( ( SV354
= ( sK291_SY482 @ SV354 @ SV1 ) )
| ( in @ SV354 @ ( sK291_SY482 @ SV354 @ SV1 ) ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4332]) ).
thf(4663,plain,
! [SV1: $i,SV292: $i] :
( ( ( in @ ( sK274_SY415 @ SV292 @ SV1 ) @ ( sK142_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4333]) ).
thf(4664,plain,
! [SV1: $i,SV292: $i] :
( ( ( SV292
= ( sK274_SY415 @ SV292 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4334]) ).
thf(4665,plain,
! [SV1: $i,SV292: $i] :
( ( ( in @ SV292 @ ( sK274_SY415 @ SV292 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4334]) ).
thf(4666,plain,
! [SV1: $i,SV294: $i] :
( ( ( in @ ( sK275_SY416 @ SV294 @ SV1 ) @ ( sK143_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4335]) ).
thf(4667,plain,
! [SV1: $i,SV294: $i] :
( ( ( SV294
= ( sK275_SY416 @ SV294 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4336]) ).
thf(4668,plain,
! [SV1: $i,SV294: $i] :
( ( ( in @ SV294 @ ( sK275_SY416 @ SV294 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4336]) ).
thf(4669,plain,
! [SV1: $i,SV513: $i,SV457: $i] :
( ( ( in @ SV457 @ SV513 )
= $false )
| ( ( in @ SV457 @ SV1 )
= $true )
| ( ( in @ SV513 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK180_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4337]) ).
thf(4670,plain,
! [SV1: $i,SV406: $i] :
( ( ( ~ ( in @ ( sK300_SY529 @ SV406 @ SV1 ) @ ( sK180_SY8 @ SV1 ) )
| ( SV406
= ( sK300_SY529 @ SV406 @ SV1 ) )
| ( in @ SV406 @ ( sK300_SY529 @ SV406 @ SV1 ) ) )
= $false )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4338]) ).
thf(4671,plain,
! [SV1: $i,SV514: $i,SV458: $i] :
( ( ( in @ SV458 @ SV514 )
= $false )
| ( ( in @ SV458 @ SV1 )
= $true )
| ( ( in @ SV514 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK181_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4339]) ).
thf(4672,plain,
! [SV1: $i,SV408: $i] :
( ( ( ~ ( in @ ( sK301_SY530 @ SV408 @ SV1 ) @ ( sK181_SY8 @ SV1 ) )
| ( SV408
= ( sK301_SY530 @ SV408 @ SV1 ) )
| ( in @ SV408 @ ( sK301_SY530 @ SV408 @ SV1 ) ) )
= $false )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4340]) ).
thf(4673,plain,
! [SV1: $i,SV515: $i,SV459: $i] :
( ( ( in @ SV459 @ SV515 )
= $false )
| ( ( in @ SV459 @ SV1 )
= $true )
| ( ( in @ SV515 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK196_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4341]) ).
thf(4674,plain,
! [SV601: $i,SV1: $i,SV701: $i] :
( ( ( in @ SV701 @ SV1 )
= $false )
| ( ( ~ ( in @ SV601 @ SV701 )
| ( in @ SV601 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK196_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4342]) ).
thf(4675,plain,
! [SV1: $i,SV516: $i] :
( ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY589: $i] :
( ~ ( in @ SY589 @ ( sK196_SY8 @ SV1 ) )
| ( SV516 = SY589 )
| ( in @ SV516 @ SY589 ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4343]) ).
thf(4676,plain,
! [SV1: $i,SV517: $i,SV460: $i] :
( ( ( in @ SV460 @ SV517 )
= $false )
| ( ( in @ SV460 @ SV1 )
= $true )
| ( ( in @ SV517 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK197_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4344]) ).
thf(4677,plain,
! [SV602: $i,SV1: $i,SV702: $i] :
( ( ( in @ SV702 @ SV1 )
= $false )
| ( ( ~ ( in @ SV602 @ SV702 )
| ( in @ SV602 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK197_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4345]) ).
thf(4678,plain,
! [SV1: $i,SV518: $i] :
( ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY590: $i] :
( ~ ( in @ SY590 @ ( sK197_SY8 @ SV1 ) )
| ( SV518 = SY590 )
| ( in @ SV518 @ SY590 ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4346]) ).
thf(4679,plain,
! [SV1: $i,SV603: $i,SV519: $i] :
( ( ( ~ ( in @ SV519 @ SV603 ) )
= $true )
| ( ( in @ SV519 @ SV1 )
= $true )
| ( ( in @ SV603 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK212_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4347]) ).
thf(4680,plain,
! [SV703: $i,SV1: $i,SV791: $i] :
( ( ( ~ ( in @ SV791 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV703 @ SV791 )
| ( in @ SV703 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK212_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4348]) ).
thf(4681,plain,
! [SV1: $i,SV604: $i] :
( ( ( ~ ( in @ SV604 @ ( sK212_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY659: $i] :
( ~ ( in @ SY659 @ ( sK212_SY8 @ SV1 ) )
| ( SV604 = SY659 )
| ( in @ SV604 @ SY659 ) ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4349]) ).
thf(4682,plain,
! [SV1: $i,SV605: $i,SV520: $i] :
( ( ( ~ ( in @ SV520 @ SV605 ) )
= $true )
| ( ( in @ SV520 @ SV1 )
= $true )
| ( ( in @ SV605 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK213_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4350]) ).
thf(4683,plain,
! [SV704: $i,SV1: $i,SV792: $i] :
( ( ( ~ ( in @ SV792 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV704 @ SV792 )
| ( in @ SV704 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK213_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4351]) ).
thf(4684,plain,
! [SV1: $i,SV606: $i] :
( ( ( ~ ( in @ SV606 @ ( sK213_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY660: $i] :
( ~ ( in @ SY660 @ ( sK213_SY8 @ SV1 ) )
| ( SV606 = SY660 )
| ( in @ SV606 @ SY660 ) ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4352]) ).
thf(4685,plain,
! [SV1: $i,SV607: $i,SV521: $i] :
( ( ( ~ ( in @ SV521 @ SV607 ) )
= $true )
| ( ( in @ SV521 @ SV1 )
= $true )
| ( ( in @ SV607 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK214_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4353]) ).
thf(4686,plain,
! [SV705: $i,SV1: $i,SV793: $i] :
( ( ( ~ ( in @ SV793 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV705 @ SV793 )
| ( in @ SV705 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK214_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4354]) ).
thf(4687,plain,
! [SV1: $i,SV608: $i] :
( ( ( ~ ( in @ SV608 @ ( sK214_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY661: $i] :
( ~ ( in @ SY661 @ ( sK214_SY8 @ SV1 ) )
| ( SV608 = SY661 )
| ( in @ SV608 @ SY661 ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4355]) ).
thf(4688,plain,
! [SV1: $i,SV609: $i,SV522: $i] :
( ( ( ~ ( in @ SV522 @ SV609 ) )
= $true )
| ( ( in @ SV522 @ SV1 )
= $true )
| ( ( in @ SV609 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK215_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4356]) ).
thf(4689,plain,
! [SV706: $i,SV1: $i,SV794: $i] :
( ( ( ~ ( in @ SV794 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV706 @ SV794 )
| ( in @ SV706 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK215_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4357]) ).
thf(4690,plain,
! [SV1: $i,SV610: $i] :
( ( ( ~ ( in @ SV610 @ ( sK215_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY662: $i] :
( ~ ( in @ SY662 @ ( sK215_SY8 @ SV1 ) )
| ( SV610 = SY662 )
| ( in @ SV610 @ SY662 ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4358]) ).
thf(4691,plain,
! [SV1: $i,SV523: $i,SV461: $i] :
( ( ( in @ SV461 @ SV523 )
= $false )
| ( ( in @ SV461 @ SV1 )
= $true )
| ( ( in @ SV523 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK198_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4359]) ).
thf(4692,plain,
! [SV611: $i,SV1: $i,SV707: $i] :
( ( ( in @ SV707 @ SV1 )
= $false )
| ( ( ~ ( in @ SV611 @ SV707 )
| ( in @ SV611 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ( sK198_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4360]) ).
thf(4693,plain,
! [SV1: $i,SV524: $i] :
( ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY595: $i] :
( ~ ( in @ SY595 @ ( sK198_SY8 @ SV1 ) )
| ( SV524 = SY595 )
| ( in @ SV524 @ SY595 ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4361]) ).
thf(4694,plain,
! [SV1: $i,SV525: $i,SV462: $i] :
( ( ( in @ SV462 @ SV525 )
= $false )
| ( ( in @ SV462 @ SV1 )
= $true )
| ( ( in @ SV525 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK199_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4362]) ).
thf(4695,plain,
! [SV612: $i,SV1: $i,SV708: $i] :
( ( ( in @ SV708 @ SV1 )
= $false )
| ( ( ~ ( in @ SV612 @ SV708 )
| ( in @ SV612 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ( sK199_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4363]) ).
thf(4696,plain,
! [SV1: $i,SV526: $i] :
( ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY596: $i] :
( ~ ( in @ SY596 @ ( sK199_SY8 @ SV1 ) )
| ( SV526 = SY596 )
| ( in @ SV526 @ SY596 ) ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4364]) ).
thf(4697,plain,
! [SV1: $i,SV527: $i,SV463: $i] :
( ( ( in @ SV463 @ SV527 )
= $false )
| ( ( in @ SV463 @ SV1 )
= $true )
| ( ( in @ SV527 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK182_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4365]) ).
thf(4698,plain,
! [SV1: $i,SV410: $i] :
( ( ( ~ ( in @ ( sK302_SY531 @ SV410 @ SV1 ) @ ( sK182_SY8 @ SV1 ) )
| ( SV410
= ( sK302_SY531 @ SV410 @ SV1 ) )
| ( in @ SV410 @ ( sK302_SY531 @ SV410 @ SV1 ) ) )
= $false )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4366]) ).
thf(4699,plain,
! [SV1: $i,SV528: $i,SV464: $i] :
( ( ( in @ SV464 @ SV528 )
= $false )
| ( ( in @ SV464 @ SV1 )
= $true )
| ( ( in @ SV528 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK183_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4367]) ).
thf(4700,plain,
! [SV1: $i,SV412: $i] :
( ( ( ~ ( in @ ( sK303_SY532 @ SV412 @ SV1 ) @ ( sK183_SY8 @ SV1 ) )
| ( SV412
= ( sK303_SY532 @ SV412 @ SV1 ) )
| ( in @ SV412 @ ( sK303_SY532 @ SV412 @ SV1 ) ) )
= $false )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4368]) ).
thf(4701,plain,
! [SV1: $i,SV529: $i,SV465: $i] :
( ( ( in @ SV465 @ SV529 )
= $false )
| ( ( in @ SV465 @ SV1 )
= $true )
| ( ( in @ SV529 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK200_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4369]) ).
thf(4702,plain,
! [SV613: $i,SV1: $i,SV709: $i] :
( ( ( in @ SV709 @ SV1 )
= $false )
| ( ( ~ ( in @ SV613 @ SV709 )
| ( in @ SV613 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK200_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4370]) ).
thf(4703,plain,
! [SV1: $i,SV530: $i] :
( ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY597: $i] :
( ~ ( in @ SY597 @ ( sK200_SY8 @ SV1 ) )
| ( SV530 = SY597 )
| ( in @ SV530 @ SY597 ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4371]) ).
thf(4704,plain,
! [SV1: $i,SV531: $i,SV466: $i] :
( ( ( in @ SV466 @ SV531 )
= $false )
| ( ( in @ SV466 @ SV1 )
= $true )
| ( ( in @ SV531 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK201_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4372]) ).
thf(4705,plain,
! [SV614: $i,SV1: $i,SV710: $i] :
( ( ( in @ SV710 @ SV1 )
= $false )
| ( ( ~ ( in @ SV614 @ SV710 )
| ( in @ SV614 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK201_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4373]) ).
thf(4706,plain,
! [SV1: $i,SV532: $i] :
( ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY598: $i] :
( ~ ( in @ SY598 @ ( sK201_SY8 @ SV1 ) )
| ( SV532 = SY598 )
| ( in @ SV532 @ SY598 ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4374]) ).
thf(4707,plain,
! [SV1: $i,SV615: $i,SV533: $i] :
( ( ( ~ ( in @ SV533 @ SV615 ) )
= $true )
| ( ( in @ SV533 @ SV1 )
= $true )
| ( ( in @ SV615 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK216_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4375]) ).
thf(4708,plain,
! [SV711: $i,SV1: $i,SV795: $i] :
( ( ( ~ ( in @ SV795 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV711 @ SV795 )
| ( in @ SV711 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK216_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4376]) ).
thf(4709,plain,
! [SV1: $i,SV616: $i] :
( ( ( ~ ( in @ SV616 @ ( sK216_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY667: $i] :
( ~ ( in @ SY667 @ ( sK216_SY8 @ SV1 ) )
| ( SV616 = SY667 )
| ( in @ SV616 @ SY667 ) ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4377]) ).
thf(4710,plain,
! [SV1: $i,SV617: $i,SV534: $i] :
( ( ( ~ ( in @ SV534 @ SV617 ) )
= $true )
| ( ( in @ SV534 @ SV1 )
= $true )
| ( ( in @ SV617 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK217_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4378]) ).
thf(4711,plain,
! [SV712: $i,SV1: $i,SV796: $i] :
( ( ( ~ ( in @ SV796 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV712 @ SV796 )
| ( in @ SV712 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK217_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4379]) ).
thf(4712,plain,
! [SV1: $i,SV618: $i] :
( ( ( ~ ( in @ SV618 @ ( sK217_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY668: $i] :
( ~ ( in @ SY668 @ ( sK217_SY8 @ SV1 ) )
| ( SV618 = SY668 )
| ( in @ SV618 @ SY668 ) ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4380]) ).
thf(4713,plain,
! [SV1: $i,SV619: $i,SV535: $i] :
( ( ( ~ ( in @ SV535 @ SV619 ) )
= $true )
| ( ( in @ SV535 @ SV1 )
= $true )
| ( ( in @ SV619 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK218_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4381]) ).
thf(4714,plain,
! [SV713: $i,SV1: $i,SV797: $i] :
( ( ( ~ ( in @ SV797 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV713 @ SV797 )
| ( in @ SV713 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK218_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4382]) ).
thf(4715,plain,
! [SV1: $i,SV620: $i] :
( ( ( ~ ( in @ SV620 @ ( sK218_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY669: $i] :
( ~ ( in @ SY669 @ ( sK218_SY8 @ SV1 ) )
| ( SV620 = SY669 )
| ( in @ SV620 @ SY669 ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4383]) ).
thf(4716,plain,
! [SV1: $i,SV621: $i,SV536: $i] :
( ( ( ~ ( in @ SV536 @ SV621 ) )
= $true )
| ( ( in @ SV536 @ SV1 )
= $true )
| ( ( in @ SV621 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK219_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4384]) ).
thf(4717,plain,
! [SV714: $i,SV1: $i,SV798: $i] :
( ( ( ~ ( in @ SV798 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV714 @ SV798 )
| ( in @ SV714 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK219_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4385]) ).
thf(4718,plain,
! [SV1: $i,SV622: $i] :
( ( ( ~ ( in @ SV622 @ ( sK219_SY8 @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY670: $i] :
( ~ ( in @ SY670 @ ( sK219_SY8 @ SV1 ) )
| ( SV622 = SY670 )
| ( in @ SV622 @ SY670 ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4386]) ).
thf(4719,plain,
! [SV1: $i,SV537: $i,SV467: $i] :
( ( ( in @ SV467 @ SV537 )
= $false )
| ( ( in @ SV467 @ SV1 )
= $true )
| ( ( in @ SV537 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK202_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4387]) ).
thf(4720,plain,
! [SV623: $i,SV1: $i,SV715: $i] :
( ( ( in @ SV715 @ SV1 )
= $false )
| ( ( ~ ( in @ SV623 @ SV715 )
| ( in @ SV623 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ( sK202_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4388]) ).
thf(4721,plain,
! [SV1: $i,SV538: $i] :
( ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY603: $i] :
( ~ ( in @ SY603 @ ( sK202_SY8 @ SV1 ) )
| ( SV538 = SY603 )
| ( in @ SV538 @ SY603 ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4389]) ).
thf(4722,plain,
! [SV1: $i,SV539: $i,SV468: $i] :
( ( ( in @ SV468 @ SV539 )
= $false )
| ( ( in @ SV468 @ SV1 )
= $true )
| ( ( in @ SV539 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK203_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4390]) ).
thf(4723,plain,
! [SV624: $i,SV1: $i,SV716: $i] :
( ( ( in @ SV716 @ SV1 )
= $false )
| ( ( ~ ( in @ SV624 @ SV716 )
| ( in @ SV624 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ( sK203_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4391]) ).
thf(4724,plain,
! [SV1: $i,SV540: $i] :
( ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY604: $i] :
( ~ ( in @ SY604 @ ( sK203_SY8 @ SV1 ) )
| ( SV540 = SY604 )
| ( in @ SV540 @ SY604 ) ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4392]) ).
thf(4725,plain,
! [SV178: $i,SV799: $i,SV1: $i,SV871: $i] :
( ( ( ~ ( in @ SV871 @ SV1 )
| ~ ( in @ SV799 @ SV871 )
| ( in @ SV799 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK254_SY327 @ SV178 @ SV1 ) @ ( sK118_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4393]) ).
thf(4726,plain,
! [SV178: $i,SV800: $i,SV1: $i,SV872: $i] :
( ( ( ~ ( in @ SV872 @ SV1 )
| ~ ( in @ SV800 @ SV872 )
| ( in @ SV800 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( SV178
= ( sK254_SY327 @ SV178 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4394]) ).
thf(4727,plain,
! [SV178: $i,SV801: $i,SV1: $i,SV873: $i] :
( ( ( ~ ( in @ SV873 @ SV1 )
| ~ ( in @ SV801 @ SV873 )
| ( in @ SV801 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV178 @ ( sK254_SY327 @ SV178 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4395]) ).
thf(4728,plain,
! [SV180: $i,SV802: $i,SV1: $i,SV874: $i] :
( ( ( ~ ( in @ SV874 @ SV1 )
| ~ ( in @ SV802 @ SV874 )
| ( in @ SV802 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK255_SY328 @ SV180 @ SV1 ) @ ( sK119_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4396]) ).
thf(4729,plain,
! [SV180: $i,SV803: $i,SV1: $i,SV875: $i] :
( ( ( ~ ( in @ SV875 @ SV1 )
| ~ ( in @ SV803 @ SV875 )
| ( in @ SV803 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( SV180
= ( sK255_SY328 @ SV180 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4397]) ).
thf(4730,plain,
! [SV180: $i,SV804: $i,SV1: $i,SV876: $i] :
( ( ( ~ ( in @ SV876 @ SV1 )
| ~ ( in @ SV804 @ SV876 )
| ( in @ SV804 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV180 @ ( sK255_SY328 @ SV180 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4398]) ).
thf(4731,plain,
! [SV1: $i,SV298: $i] :
( ( ( in @ ( sK276_SY433 @ SV298 @ SV1 ) @ ( sK148_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4399]) ).
thf(4732,plain,
! [SV1: $i,SV298: $i] :
( ( ( SV298
= ( sK276_SY433 @ SV298 @ SV1 ) )
= $false )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4400]) ).
thf(4733,plain,
! [SV1: $i,SV298: $i] :
( ( ( in @ SV298 @ ( sK276_SY433 @ SV298 @ SV1 ) )
= $false )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4400]) ).
thf(4734,plain,
! [SV1: $i,SV300: $i] :
( ( ( in @ ( sK277_SY434 @ SV300 @ SV1 ) @ ( sK149_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4401]) ).
thf(4735,plain,
! [SV1: $i,SV300: $i] :
( ( ( SV300
= ( sK277_SY434 @ SV300 @ SV1 ) )
= $false )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4402]) ).
thf(4736,plain,
! [SV1: $i,SV300: $i] :
( ( ( in @ SV300 @ ( sK277_SY434 @ SV300 @ SV1 ) )
= $false )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4402]) ).
thf(4737,plain,
! [SV1: $i,SV364: $i] :
( ( ( ~ ( in @ ( sK292_SY507 @ SV364 @ SV1 ) @ ( sK172_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4404]) ).
thf(4738,plain,
! [SV1: $i,SV364: $i] :
( ( ( ( SV364
= ( sK292_SY507 @ SV364 @ SV1 ) )
| ( in @ SV364 @ ( sK292_SY507 @ SV364 @ SV1 ) ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4404]) ).
thf(4739,plain,
! [SV1: $i,SV366: $i] :
( ( ( ~ ( in @ ( sK293_SY508 @ SV366 @ SV1 ) @ ( sK173_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4406]) ).
thf(4740,plain,
! [SV1: $i,SV366: $i] :
( ( ( ( SV366
= ( sK293_SY508 @ SV366 @ SV1 ) )
| ( in @ SV366 @ ( sK293_SY508 @ SV366 @ SV1 ) ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4406]) ).
thf(4741,plain,
! [SV1: $i,SV368: $i] :
( ( ( ~ ( in @ ( sK294_SY509 @ SV368 @ SV1 ) @ ( sK174_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4408]) ).
thf(4742,plain,
! [SV1: $i,SV368: $i] :
( ( ( ( SV368
= ( sK294_SY509 @ SV368 @ SV1 ) )
| ( in @ SV368 @ ( sK294_SY509 @ SV368 @ SV1 ) ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4408]) ).
thf(4743,plain,
! [SV1: $i,SV370: $i] :
( ( ( ~ ( in @ ( sK295_SY510 @ SV370 @ SV1 ) @ ( sK175_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4410]) ).
thf(4744,plain,
! [SV1: $i,SV370: $i] :
( ( ( ( SV370
= ( sK295_SY510 @ SV370 @ SV1 ) )
| ( in @ SV370 @ ( sK295_SY510 @ SV370 @ SV1 ) ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4410]) ).
thf(4745,plain,
! [SV1: $i,SV306: $i] :
( ( ( in @ ( sK278_SY439 @ SV306 @ SV1 ) @ ( sK150_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4411]) ).
thf(4746,plain,
! [SV1: $i,SV306: $i] :
( ( ( SV306
= ( sK278_SY439 @ SV306 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4412]) ).
thf(4747,plain,
! [SV1: $i,SV306: $i] :
( ( ( in @ SV306 @ ( sK278_SY439 @ SV306 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4412]) ).
thf(4748,plain,
! [SV1: $i,SV308: $i] :
( ( ( in @ ( sK279_SY440 @ SV308 @ SV1 ) @ ( sK151_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4413]) ).
thf(4749,plain,
! [SV1: $i,SV308: $i] :
( ( ( SV308
= ( sK279_SY440 @ SV308 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4414]) ).
thf(4750,plain,
! [SV1: $i,SV308: $i] :
( ( ( in @ SV308 @ ( sK279_SY440 @ SV308 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4414]) ).
thf(4751,plain,
! [SV44: $i,SV1: $i,SV625: $i,SV541: $i] :
( ( ( ~ ( in @ SV541 @ SV625 ) )
= $true )
| ( ( in @ SV541 @ SV1 )
= $true )
| ( ( in @ SV625 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK220_SY161 @ SV44 @ SV1 ) @ ( sK60_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4421]) ).
thf(4752,plain,
! [SV44: $i,SV1: $i,SV626: $i,SV542: $i] :
( ( ( ~ ( in @ SV542 @ SV626 ) )
= $true )
| ( ( in @ SV542 @ SV1 )
= $true )
| ( ( in @ SV626 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( SV44
= ( sK220_SY161 @ SV44 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4422]) ).
thf(4753,plain,
! [SV44: $i,SV1: $i,SV627: $i,SV543: $i] :
( ( ( ~ ( in @ SV543 @ SV627 ) )
= $true )
| ( ( in @ SV543 @ SV1 )
= $true )
| ( ( in @ SV627 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV44 @ ( sK220_SY161 @ SV44 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4423]) ).
thf(4754,plain,
! [SV46: $i,SV1: $i,SV628: $i,SV544: $i] :
( ( ( ~ ( in @ SV544 @ SV628 ) )
= $true )
| ( ( in @ SV544 @ SV1 )
= $true )
| ( ( in @ SV628 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK221_SY162 @ SV46 @ SV1 ) @ ( sK61_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4424]) ).
thf(4755,plain,
! [SV46: $i,SV1: $i,SV629: $i,SV545: $i] :
( ( ( ~ ( in @ SV545 @ SV629 ) )
= $true )
| ( ( in @ SV545 @ SV1 )
= $true )
| ( ( in @ SV629 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( SV46
= ( sK221_SY162 @ SV46 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4425]) ).
thf(4756,plain,
! [SV46: $i,SV1: $i,SV630: $i,SV546: $i] :
( ( ( ~ ( in @ SV546 @ SV630 ) )
= $true )
| ( ( in @ SV546 @ SV1 )
= $true )
| ( ( in @ SV630 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV46 @ ( sK221_SY162 @ SV46 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4426]) ).
thf(4757,plain,
! [SV80: $i,SV631: $i,SV1: $i,SV717: $i] :
( ( ( in @ SV717 @ SV1 )
= $false )
| ( ( ~ ( in @ SV631 @ SV717 )
| ( in @ SV631 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK232_SY215 @ SV80 @ SV1 ) @ ( sK84_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4427]) ).
thf(4758,plain,
! [SV80: $i,SV632: $i,SV1: $i,SV718: $i] :
( ( ( in @ SV718 @ SV1 )
= $false )
| ( ( ~ ( in @ SV632 @ SV718 )
| ( in @ SV632 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( SV80
= ( sK232_SY215 @ SV80 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4428]) ).
thf(4759,plain,
! [SV80: $i,SV633: $i,SV1: $i,SV719: $i] :
( ( ( in @ SV719 @ SV1 )
= $false )
| ( ( ~ ( in @ SV633 @ SV719 )
| ( in @ SV633 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK232_SY215 @ SV80 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4429]) ).
thf(4760,plain,
! [SV82: $i,SV634: $i,SV1: $i,SV720: $i] :
( ( ( in @ SV720 @ SV1 )
= $false )
| ( ( ~ ( in @ SV634 @ SV720 )
| ( in @ SV634 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK233_SY216 @ SV82 @ SV1 ) @ ( sK85_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4430]) ).
thf(4761,plain,
! [SV82: $i,SV635: $i,SV1: $i,SV721: $i] :
( ( ( in @ SV721 @ SV1 )
= $false )
| ( ( ~ ( in @ SV635 @ SV721 )
| ( in @ SV635 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( SV82
= ( sK233_SY216 @ SV82 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4431]) ).
thf(4762,plain,
! [SV82: $i,SV636: $i,SV1: $i,SV722: $i] :
( ( ( in @ SV722 @ SV1 )
= $false )
| ( ( ~ ( in @ SV636 @ SV722 )
| ( in @ SV636 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK233_SY216 @ SV82 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4432]) ).
thf(4763,plain,
! [SV84: $i,SV637: $i,SV1: $i,SV723: $i] :
( ( ( in @ SV723 @ SV1 )
= $false )
| ( ( ~ ( in @ SV637 @ SV723 )
| ( in @ SV637 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK234_SY217 @ SV84 @ SV1 ) @ ( sK86_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4433]) ).
thf(4764,plain,
! [SV84: $i,SV638: $i,SV1: $i,SV724: $i] :
( ( ( in @ SV724 @ SV1 )
= $false )
| ( ( ~ ( in @ SV638 @ SV724 )
| ( in @ SV638 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( SV84
= ( sK234_SY217 @ SV84 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4434]) ).
thf(4765,plain,
! [SV84: $i,SV639: $i,SV1: $i,SV725: $i] :
( ( ( in @ SV725 @ SV1 )
= $false )
| ( ( ~ ( in @ SV639 @ SV725 )
| ( in @ SV639 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK234_SY217 @ SV84 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4435]) ).
thf(4766,plain,
! [SV86: $i,SV640: $i,SV1: $i,SV726: $i] :
( ( ( in @ SV726 @ SV1 )
= $false )
| ( ( ~ ( in @ SV640 @ SV726 )
| ( in @ SV640 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK235_SY218 @ SV86 @ SV1 ) @ ( sK87_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4436]) ).
thf(4767,plain,
! [SV86: $i,SV641: $i,SV1: $i,SV727: $i] :
( ( ( in @ SV727 @ SV1 )
= $false )
| ( ( ~ ( in @ SV641 @ SV727 )
| ( in @ SV641 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( SV86
= ( sK235_SY218 @ SV86 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4437]) ).
thf(4768,plain,
! [SV86: $i,SV642: $i,SV1: $i,SV728: $i] :
( ( ( in @ SV728 @ SV1 )
= $false )
| ( ( ~ ( in @ SV642 @ SV728 )
| ( in @ SV642 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK235_SY218 @ SV86 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4438]) ).
thf(4769,plain,
! [SV52: $i,SV1: $i,SV643: $i,SV547: $i] :
( ( ( ~ ( in @ SV547 @ SV643 ) )
= $true )
| ( ( in @ SV547 @ SV1 )
= $true )
| ( ( in @ SV643 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK222_SY167 @ SV52 @ SV1 ) @ ( sK62_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4439]) ).
thf(4770,plain,
! [SV52: $i,SV1: $i,SV644: $i,SV548: $i] :
( ( ( ~ ( in @ SV548 @ SV644 ) )
= $true )
| ( ( in @ SV548 @ SV1 )
= $true )
| ( ( in @ SV644 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( SV52
= ( sK222_SY167 @ SV52 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4440]) ).
thf(4771,plain,
! [SV52: $i,SV1: $i,SV645: $i,SV549: $i] :
( ( ( ~ ( in @ SV549 @ SV645 ) )
= $true )
| ( ( in @ SV549 @ SV1 )
= $true )
| ( ( in @ SV645 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK222_SY167 @ SV52 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4441]) ).
thf(4772,plain,
! [SV54: $i,SV1: $i,SV646: $i,SV550: $i] :
( ( ( ~ ( in @ SV550 @ SV646 ) )
= $true )
| ( ( in @ SV550 @ SV1 )
= $true )
| ( ( in @ SV646 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK223_SY168 @ SV54 @ SV1 ) @ ( sK63_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4442]) ).
thf(4773,plain,
! [SV54: $i,SV1: $i,SV647: $i,SV551: $i] :
( ( ( ~ ( in @ SV551 @ SV647 ) )
= $true )
| ( ( in @ SV551 @ SV1 )
= $true )
| ( ( in @ SV647 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( SV54
= ( sK223_SY168 @ SV54 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4443]) ).
thf(4774,plain,
! [SV54: $i,SV1: $i,SV648: $i,SV552: $i] :
( ( ( ~ ( in @ SV552 @ SV648 ) )
= $true )
| ( ( in @ SV552 @ SV1 )
= $true )
| ( ( in @ SV648 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK223_SY168 @ SV54 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4444]) ).
thf(4775,plain,
! [SV56: $i,SV1: $i,SV649: $i,SV553: $i] :
( ( ( ~ ( in @ SV553 @ SV649 ) )
= $true )
| ( ( in @ SV553 @ SV1 )
= $true )
| ( ( in @ SV649 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK224_SY169 @ SV56 @ SV1 ) @ ( sK64_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4445]) ).
thf(4776,plain,
! [SV56: $i,SV1: $i,SV650: $i,SV554: $i] :
( ( ( ~ ( in @ SV554 @ SV650 ) )
= $true )
| ( ( in @ SV554 @ SV1 )
= $true )
| ( ( in @ SV650 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( SV56
= ( sK224_SY169 @ SV56 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4446]) ).
thf(4777,plain,
! [SV56: $i,SV1: $i,SV651: $i,SV555: $i] :
( ( ( ~ ( in @ SV555 @ SV651 ) )
= $true )
| ( ( in @ SV555 @ SV1 )
= $true )
| ( ( in @ SV651 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV56 @ ( sK224_SY169 @ SV56 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4447]) ).
thf(4778,plain,
! [SV58: $i,SV1: $i,SV652: $i,SV556: $i] :
( ( ( ~ ( in @ SV556 @ SV652 ) )
= $true )
| ( ( in @ SV556 @ SV1 )
= $true )
| ( ( in @ SV652 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK225_SY170 @ SV58 @ SV1 ) @ ( sK65_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4448]) ).
thf(4779,plain,
! [SV58: $i,SV1: $i,SV653: $i,SV557: $i] :
( ( ( ~ ( in @ SV557 @ SV653 ) )
= $true )
| ( ( in @ SV557 @ SV1 )
= $true )
| ( ( in @ SV653 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( SV58
= ( sK225_SY170 @ SV58 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4449]) ).
thf(4780,plain,
! [SV58: $i,SV1: $i,SV654: $i,SV558: $i] :
( ( ( ~ ( in @ SV558 @ SV654 ) )
= $true )
| ( ( in @ SV558 @ SV1 )
= $true )
| ( ( in @ SV654 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV58 @ ( sK225_SY170 @ SV58 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4450]) ).
thf(4781,plain,
! [SV132: $i,SV729: $i,SV1: $i,SV805: $i] :
( ( ( ~ ( in @ SV805 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV729 @ SV805 )
| ( in @ SV729 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK240_SY285 @ SV132 @ SV1 ) @ ( sK100_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4451]) ).
thf(4782,plain,
! [SV132: $i,SV730: $i,SV1: $i,SV806: $i] :
( ( ( ~ ( in @ SV806 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV730 @ SV806 )
| ( in @ SV730 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( SV132
= ( sK240_SY285 @ SV132 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4452]) ).
thf(4783,plain,
! [SV132: $i,SV731: $i,SV1: $i,SV807: $i] :
( ( ( ~ ( in @ SV807 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV731 @ SV807 )
| ( in @ SV731 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV132 @ ( sK240_SY285 @ SV132 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4453]) ).
thf(4784,plain,
! [SV134: $i,SV732: $i,SV1: $i,SV808: $i] :
( ( ( ~ ( in @ SV808 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV732 @ SV808 )
| ( in @ SV732 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK241_SY286 @ SV134 @ SV1 ) @ ( sK101_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4454]) ).
thf(4785,plain,
! [SV134: $i,SV733: $i,SV1: $i,SV809: $i] :
( ( ( ~ ( in @ SV809 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV733 @ SV809 )
| ( in @ SV733 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( SV134
= ( sK241_SY286 @ SV134 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4455]) ).
thf(4786,plain,
! [SV134: $i,SV734: $i,SV1: $i,SV810: $i] :
( ( ( ~ ( in @ SV810 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV734 @ SV810 )
| ( in @ SV734 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV134 @ ( sK241_SY286 @ SV134 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4456]) ).
thf(4787,plain,
! [SV188: $i,SV811: $i,SV1: $i,SV877: $i] :
( ( ( ~ ( in @ SV877 @ SV1 )
| ~ ( in @ SV811 @ SV877 )
| ( in @ SV811 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK256_SY331 @ SV188 @ SV1 ) @ ( sK120_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4457]) ).
thf(4788,plain,
! [SV188: $i,SV812: $i,SV1: $i,SV878: $i] :
( ( ( ~ ( in @ SV878 @ SV1 )
| ~ ( in @ SV812 @ SV878 )
| ( in @ SV812 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( SV188
= ( sK256_SY331 @ SV188 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4458]) ).
thf(4789,plain,
! [SV188: $i,SV813: $i,SV1: $i,SV879: $i] :
( ( ( ~ ( in @ SV879 @ SV1 )
| ~ ( in @ SV813 @ SV879 )
| ( in @ SV813 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK256_SY331 @ SV188 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4459]) ).
thf(4790,plain,
! [SV190: $i,SV814: $i,SV1: $i,SV880: $i] :
( ( ( ~ ( in @ SV880 @ SV1 )
| ~ ( in @ SV814 @ SV880 )
| ( in @ SV814 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK257_SY332 @ SV190 @ SV1 ) @ ( sK121_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4460]) ).
thf(4791,plain,
! [SV190: $i,SV815: $i,SV1: $i,SV881: $i] :
( ( ( ~ ( in @ SV881 @ SV1 )
| ~ ( in @ SV815 @ SV881 )
| ( in @ SV815 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( SV190
= ( sK257_SY332 @ SV190 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4461]) ).
thf(4792,plain,
! [SV190: $i,SV816: $i,SV1: $i,SV882: $i] :
( ( ( ~ ( in @ SV882 @ SV1 )
| ~ ( in @ SV816 @ SV882 )
| ( in @ SV816 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK257_SY332 @ SV190 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4462]) ).
thf(4793,plain,
! [SV192: $i,SV817: $i,SV1: $i,SV883: $i] :
( ( ( ~ ( in @ SV883 @ SV1 )
| ~ ( in @ SV817 @ SV883 )
| ( in @ SV817 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK258_SY333 @ SV192 @ SV1 ) @ ( sK122_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4463]) ).
thf(4794,plain,
! [SV192: $i,SV818: $i,SV1: $i,SV884: $i] :
( ( ( ~ ( in @ SV884 @ SV1 )
| ~ ( in @ SV818 @ SV884 )
| ( in @ SV818 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( SV192
= ( sK258_SY333 @ SV192 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4464]) ).
thf(4795,plain,
! [SV192: $i,SV819: $i,SV1: $i,SV885: $i] :
( ( ( ~ ( in @ SV885 @ SV1 )
| ~ ( in @ SV819 @ SV885 )
| ( in @ SV819 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK258_SY333 @ SV192 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4465]) ).
thf(4796,plain,
! [SV194: $i,SV820: $i,SV1: $i,SV886: $i] :
( ( ( ~ ( in @ SV886 @ SV1 )
| ~ ( in @ SV820 @ SV886 )
| ( in @ SV820 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK259_SY334 @ SV194 @ SV1 ) @ ( sK123_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4466]) ).
thf(4797,plain,
! [SV194: $i,SV821: $i,SV1: $i,SV887: $i] :
( ( ( ~ ( in @ SV887 @ SV1 )
| ~ ( in @ SV821 @ SV887 )
| ( in @ SV821 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( SV194
= ( sK259_SY334 @ SV194 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4467]) ).
thf(4798,plain,
! [SV194: $i,SV822: $i,SV1: $i,SV888: $i] :
( ( ( ~ ( in @ SV888 @ SV1 )
| ~ ( in @ SV822 @ SV888 )
| ( in @ SV822 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK259_SY334 @ SV194 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4468]) ).
thf(4799,plain,
! [SV140: $i,SV735: $i,SV1: $i,SV823: $i] :
( ( ( ~ ( in @ SV823 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV735 @ SV823 )
| ( in @ SV735 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK242_SY291 @ SV140 @ SV1 ) @ ( sK102_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4469]) ).
thf(4800,plain,
! [SV140: $i,SV736: $i,SV1: $i,SV824: $i] :
( ( ( ~ ( in @ SV824 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV736 @ SV824 )
| ( in @ SV736 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( SV140
= ( sK242_SY291 @ SV140 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4470]) ).
thf(4801,plain,
! [SV140: $i,SV737: $i,SV1: $i,SV825: $i] :
( ( ( ~ ( in @ SV825 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV737 @ SV825 )
| ( in @ SV737 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK242_SY291 @ SV140 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4471]) ).
thf(4802,plain,
! [SV142: $i,SV738: $i,SV1: $i,SV826: $i] :
( ( ( ~ ( in @ SV826 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV738 @ SV826 )
| ( in @ SV738 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK243_SY292 @ SV142 @ SV1 ) @ ( sK103_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4472]) ).
thf(4803,plain,
! [SV142: $i,SV739: $i,SV1: $i,SV827: $i] :
( ( ( ~ ( in @ SV827 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV739 @ SV827 )
| ( in @ SV739 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( SV142
= ( sK243_SY292 @ SV142 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4473]) ).
thf(4804,plain,
! [SV142: $i,SV740: $i,SV1: $i,SV828: $i] :
( ( ( ~ ( in @ SV828 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV740 @ SV828 )
| ( in @ SV740 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK243_SY292 @ SV142 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4474]) ).
thf(4805,plain,
! [SV144: $i,SV741: $i,SV1: $i,SV829: $i] :
( ( ( ~ ( in @ SV829 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV741 @ SV829 )
| ( in @ SV741 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK244_SY293 @ SV144 @ SV1 ) @ ( sK104_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4475]) ).
thf(4806,plain,
! [SV144: $i,SV742: $i,SV1: $i,SV830: $i] :
( ( ( ~ ( in @ SV830 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV742 @ SV830 )
| ( in @ SV742 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( SV144
= ( sK244_SY293 @ SV144 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4476]) ).
thf(4807,plain,
! [SV144: $i,SV743: $i,SV1: $i,SV831: $i] :
( ( ( ~ ( in @ SV831 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV743 @ SV831 )
| ( in @ SV743 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV144 @ ( sK244_SY293 @ SV144 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4477]) ).
thf(4808,plain,
! [SV146: $i,SV744: $i,SV1: $i,SV832: $i] :
( ( ( ~ ( in @ SV832 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV744 @ SV832 )
| ( in @ SV744 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK245_SY294 @ SV146 @ SV1 ) @ ( sK105_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4478]) ).
thf(4809,plain,
! [SV146: $i,SV745: $i,SV1: $i,SV833: $i] :
( ( ( ~ ( in @ SV833 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV745 @ SV833 )
| ( in @ SV745 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( SV146
= ( sK245_SY294 @ SV146 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4479]) ).
thf(4810,plain,
! [SV146: $i,SV746: $i,SV1: $i,SV834: $i] :
( ( ( ~ ( in @ SV834 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV746 @ SV834 )
| ( in @ SV746 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV146 @ ( sK245_SY294 @ SV146 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4480]) ).
thf(4811,plain,
! [SV248: $i,SV889: $i,SV1: $i] :
( ( ( ! [SY785: $i] :
( ~ ( in @ SY785 @ SV1 )
| ~ ( in @ SV889 @ SY785 )
| ( in @ SV889 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK264_SY373 @ SV248 @ SV1 ) @ ( sK128_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4481]) ).
thf(4812,plain,
! [SV248: $i,SV890: $i,SV1: $i] :
( ( ( ! [SY786: $i] :
( ~ ( in @ SY786 @ SV1 )
| ~ ( in @ SV890 @ SY786 )
| ( in @ SV890 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( SV248
= ( sK264_SY373 @ SV248 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4482]) ).
thf(4813,plain,
! [SV248: $i,SV891: $i,SV1: $i] :
( ( ( ! [SY787: $i] :
( ~ ( in @ SY787 @ SV1 )
| ~ ( in @ SV891 @ SY787 )
| ( in @ SV891 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV248 @ ( sK264_SY373 @ SV248 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4483]) ).
thf(4814,plain,
! [SV250: $i,SV892: $i,SV1: $i] :
( ( ( ! [SY788: $i] :
( ~ ( in @ SY788 @ SV1 )
| ~ ( in @ SV892 @ SY788 )
| ( in @ SV892 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK265_SY374 @ SV250 @ SV1 ) @ ( sK129_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4484]) ).
thf(4815,plain,
! [SV250: $i,SV893: $i,SV1: $i] :
( ( ( ! [SY789: $i] :
( ~ ( in @ SY789 @ SV1 )
| ~ ( in @ SV893 @ SY789 )
| ( in @ SV893 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( SV250
= ( sK265_SY374 @ SV250 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4485]) ).
thf(4816,plain,
! [SV250: $i,SV894: $i,SV1: $i] :
( ( ( ! [SY790: $i] :
( ~ ( in @ SY790 @ SV1 )
| ~ ( in @ SV894 @ SY790 )
| ( in @ SV894 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV250 @ ( sK265_SY374 @ SV250 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4486]) ).
thf(4817,plain,
! [SV1: $i,SV316: $i] :
( ( ( in @ ( sK280_SY443 @ SV316 @ SV1 ) @ ( sK152_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4487]) ).
thf(4818,plain,
! [SV1: $i,SV316: $i] :
( ( ( SV316
= ( sK280_SY443 @ SV316 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4488]) ).
thf(4819,plain,
! [SV1: $i,SV316: $i] :
( ( ( in @ SV316 @ ( sK280_SY443 @ SV316 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4488]) ).
thf(4820,plain,
! [SV1: $i,SV318: $i] :
( ( ( in @ ( sK281_SY444 @ SV318 @ SV1 ) @ ( sK153_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4489]) ).
thf(4821,plain,
! [SV1: $i,SV318: $i] :
( ( ( SV318
= ( sK281_SY444 @ SV318 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4490]) ).
thf(4822,plain,
! [SV1: $i,SV318: $i] :
( ( ( in @ SV318 @ ( sK281_SY444 @ SV318 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4490]) ).
thf(4823,plain,
! [SV1: $i,SV320: $i] :
( ( ( in @ ( sK282_SY445 @ SV320 @ SV1 ) @ ( sK154_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4491]) ).
thf(4824,plain,
! [SV1: $i,SV320: $i] :
( ( ( SV320
= ( sK282_SY445 @ SV320 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4492]) ).
thf(4825,plain,
! [SV1: $i,SV320: $i] :
( ( ( in @ SV320 @ ( sK282_SY445 @ SV320 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4492]) ).
thf(4826,plain,
! [SV1: $i,SV322: $i] :
( ( ( in @ ( sK283_SY446 @ SV322 @ SV1 ) @ ( sK155_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4493]) ).
thf(4827,plain,
! [SV1: $i,SV322: $i] :
( ( ( SV322
= ( sK283_SY446 @ SV322 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4494]) ).
thf(4828,plain,
! [SV1: $i,SV322: $i] :
( ( ( in @ SV322 @ ( sK283_SY446 @ SV322 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4494]) ).
thf(4829,plain,
! [SV256: $i,SV895: $i,SV1: $i] :
( ( ( ! [SY791: $i] :
( ~ ( in @ SY791 @ SV1 )
| ~ ( in @ SV895 @ SY791 )
| ( in @ SV895 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK266_SY379 @ SV256 @ SV1 ) @ ( sK130_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4495]) ).
thf(4830,plain,
! [SV256: $i,SV896: $i,SV1: $i] :
( ( ( ! [SY792: $i] :
( ~ ( in @ SY792 @ SV1 )
| ~ ( in @ SV896 @ SY792 )
| ( in @ SV896 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( SV256
= ( sK266_SY379 @ SV256 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4496]) ).
thf(4831,plain,
! [SV256: $i,SV897: $i,SV1: $i] :
( ( ( ! [SY793: $i] :
( ~ ( in @ SY793 @ SV1 )
| ~ ( in @ SV897 @ SY793 )
| ( in @ SV897 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK266_SY379 @ SV256 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4497]) ).
thf(4832,plain,
! [SV258: $i,SV898: $i,SV1: $i] :
( ( ( ! [SY794: $i] :
( ~ ( in @ SY794 @ SV1 )
| ~ ( in @ SV898 @ SY794 )
| ( in @ SV898 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK267_SY380 @ SV258 @ SV1 ) @ ( sK131_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4498]) ).
thf(4833,plain,
! [SV258: $i,SV899: $i,SV1: $i] :
( ( ( ! [SY795: $i] :
( ~ ( in @ SY795 @ SV1 )
| ~ ( in @ SV899 @ SY795 )
| ( in @ SV899 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( SV258
= ( sK267_SY380 @ SV258 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4499]) ).
thf(4834,plain,
! [SV258: $i,SV900: $i,SV1: $i] :
( ( ( ! [SY796: $i] :
( ~ ( in @ SY796 @ SV1 )
| ~ ( in @ SV900 @ SY796 )
| ( in @ SV900 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK267_SY380 @ SV258 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4500]) ).
thf(4835,plain,
! [SV1: $i,SV382: $i] :
( ( ( ~ ( in @ ( sK296_SY517 @ SV382 @ SV1 ) @ ( sK176_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4502]) ).
thf(4836,plain,
! [SV1: $i,SV382: $i] :
( ( ( ( SV382
= ( sK296_SY517 @ SV382 @ SV1 ) )
| ( in @ SV382 @ ( sK296_SY517 @ SV382 @ SV1 ) ) )
= $false )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4502]) ).
thf(4837,plain,
! [SV1: $i,SV384: $i] :
( ( ( ~ ( in @ ( sK297_SY518 @ SV384 @ SV1 ) @ ( sK177_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4504]) ).
thf(4838,plain,
! [SV1: $i,SV384: $i] :
( ( ( ( SV384
= ( sK297_SY518 @ SV384 @ SV1 ) )
| ( in @ SV384 @ ( sK297_SY518 @ SV384 @ SV1 ) ) )
= $false )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4504]) ).
thf(4839,plain,
! [SV1: $i,SV655: $i,SV559: $i] :
( ( ( ~ ( in @ SV559 @ SV655 ) )
= $true )
| ( ( in @ SV559 @ SV1 )
= $true )
| ( ( in @ SV655 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK186_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4506]) ).
thf(4840,plain,
! [SV482: $i,SV1: $i] :
( ( ( ! [SY573: $i] :
( ~ ( in @ SY573 @ ( sK186_SY8 @ SV1 ) )
| ( SV482 = SY573 )
| ( in @ SV482 @ SY573 ) ) )
= $false )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4507]) ).
thf(4841,plain,
! [SV1: $i,SV656: $i,SV560: $i] :
( ( ( ~ ( in @ SV560 @ SV656 ) )
= $true )
| ( ( in @ SV560 @ SV1 )
= $true )
| ( ( in @ SV656 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK187_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4509]) ).
thf(4842,plain,
! [SV484: $i,SV1: $i] :
( ( ( ! [SY574: $i] :
( ~ ( in @ SY574 @ ( sK187_SY8 @ SV1 ) )
| ( SV484 = SY574 )
| ( in @ SV484 @ SY574 ) ) )
= $false )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4510]) ).
thf(4843,plain,
! [SV1: $i,SV561: $i,SV485: $i] :
( ( ( in @ SV485 @ SV561 )
= $false )
| ( ( in @ SV485 @ SV1 )
= $true )
| ( ( in @ SV561 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK204_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4511]) ).
thf(4844,plain,
! [SV657: $i,SV1: $i,SV747: $i] :
( ( ( in @ SV747 @ SV1 )
= $false )
| ( ( ~ ( in @ SV657 @ SV747 )
| ( in @ SV657 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK204_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4512]) ).
thf(4845,plain,
! [SV1: $i,SV562: $i] :
( ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY625: $i] :
( ~ ( in @ SY625 @ ( sK204_SY8 @ SV1 ) )
| ( SV562 = SY625 )
| ( in @ SV562 @ SY625 ) ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4513]) ).
thf(4846,plain,
! [SV1: $i,SV563: $i,SV486: $i] :
( ( ( in @ SV486 @ SV563 )
= $false )
| ( ( in @ SV486 @ SV1 )
= $true )
| ( ( in @ SV563 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK205_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4514]) ).
thf(4847,plain,
! [SV658: $i,SV1: $i,SV748: $i] :
( ( ( in @ SV748 @ SV1 )
= $false )
| ( ( ~ ( in @ SV658 @ SV748 )
| ( in @ SV658 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK205_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4515]) ).
thf(4848,plain,
! [SV1: $i,SV564: $i] :
( ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY626: $i] :
( ~ ( in @ SY626 @ ( sK205_SY8 @ SV1 ) )
| ( SV564 = SY626 )
| ( in @ SV564 @ SY626 ) ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4516]) ).
thf(4849,plain,
! [SV1: $i,SV565: $i,SV487: $i] :
( ( ( in @ SV487 @ SV565 )
= $false )
| ( ( in @ SV487 @ SV1 )
= $true )
| ( ( in @ SV565 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK206_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4517]) ).
thf(4850,plain,
! [SV659: $i,SV1: $i,SV749: $i] :
( ( ( in @ SV749 @ SV1 )
= $false )
| ( ( ~ ( in @ SV659 @ SV749 )
| ( in @ SV659 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK206_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4518]) ).
thf(4851,plain,
! [SV1: $i,SV566: $i] :
( ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY627: $i] :
( ~ ( in @ SY627 @ ( sK206_SY8 @ SV1 ) )
| ( SV566 = SY627 )
| ( in @ SV566 @ SY627 ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4519]) ).
thf(4852,plain,
! [SV1: $i,SV567: $i,SV488: $i] :
( ( ( in @ SV488 @ SV567 )
= $false )
| ( ( in @ SV488 @ SV1 )
= $true )
| ( ( in @ SV567 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK207_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4520]) ).
thf(4853,plain,
! [SV660: $i,SV1: $i,SV750: $i] :
( ( ( in @ SV750 @ SV1 )
= $false )
| ( ( ~ ( in @ SV660 @ SV750 )
| ( in @ SV660 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK207_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4521]) ).
thf(4854,plain,
! [SV1: $i,SV568: $i] :
( ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY628: $i] :
( ~ ( in @ SY628 @ ( sK207_SY8 @ SV1 ) )
| ( SV568 = SY628 )
| ( in @ SV568 @ SY628 ) ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4522]) ).
thf(4855,plain,
! [SV1: $i,SV661: $i,SV569: $i] :
( ( ( ~ ( in @ SV569 @ SV661 ) )
= $true )
| ( ( in @ SV569 @ SV1 )
= $true )
| ( ( in @ SV661 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ( sK188_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4524]) ).
thf(4856,plain,
! [SV490: $i,SV1: $i] :
( ( ( ! [SY579: $i] :
( ~ ( in @ SY579 @ ( sK188_SY8 @ SV1 ) )
| ( SV490 = SY579 )
| ( in @ SV490 @ SY579 ) ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4525]) ).
thf(4857,plain,
! [SV1: $i,SV662: $i,SV570: $i] :
( ( ( ~ ( in @ SV570 @ SV662 ) )
= $true )
| ( ( in @ SV570 @ SV1 )
= $true )
| ( ( in @ SV662 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ( sK189_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4527]) ).
thf(4858,plain,
! [SV492: $i,SV1: $i] :
( ( ( ! [SY580: $i] :
( ~ ( in @ SY580 @ ( sK189_SY8 @ SV1 ) )
| ( SV492 = SY580 )
| ( in @ SV492 @ SY580 ) ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4528]) ).
thf(4859,plain,
! [SV1: $i,SV386: $i] :
( ( ( ~ ( in @ ( sK298_SY519 @ SV386 @ SV1 ) @ ( sK178_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4530]) ).
thf(4860,plain,
! [SV1: $i,SV386: $i] :
( ( ( ( SV386
= ( sK298_SY519 @ SV386 @ SV1 ) )
| ( in @ SV386 @ ( sK298_SY519 @ SV386 @ SV1 ) ) )
= $false )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4530]) ).
thf(4861,plain,
! [SV1: $i,SV388: $i] :
( ( ( ~ ( in @ ( sK299_SY520 @ SV388 @ SV1 ) @ ( sK179_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4532]) ).
thf(4862,plain,
! [SV1: $i,SV388: $i] :
( ( ( ( SV388
= ( sK299_SY520 @ SV388 @ SV1 ) )
| ( in @ SV388 @ ( sK299_SY520 @ SV388 @ SV1 ) ) )
= $false )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4532]) ).
thf(4863,plain,
! [SV1: $i,SV663: $i,SV571: $i] :
( ( ( ~ ( in @ SV571 @ SV663 ) )
= $true )
| ( ( in @ SV571 @ SV1 )
= $true )
| ( ( in @ SV663 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK190_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4534]) ).
thf(4864,plain,
! [SV496: $i,SV1: $i] :
( ( ( ! [SY581: $i] :
( ~ ( in @ SY581 @ ( sK190_SY8 @ SV1 ) )
| ( SV496 = SY581 )
| ( in @ SV496 @ SY581 ) ) )
= $false )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4535]) ).
thf(4865,plain,
! [SV1: $i,SV664: $i,SV572: $i] :
( ( ( ~ ( in @ SV572 @ SV664 ) )
= $true )
| ( ( in @ SV572 @ SV1 )
= $true )
| ( ( in @ SV664 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK191_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4537]) ).
thf(4866,plain,
! [SV498: $i,SV1: $i] :
( ( ( ! [SY582: $i] :
( ~ ( in @ SY582 @ ( sK191_SY8 @ SV1 ) )
| ( SV498 = SY582 )
| ( in @ SV498 @ SY582 ) ) )
= $false )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4538]) ).
thf(4867,plain,
! [SV1: $i,SV573: $i,SV499: $i] :
( ( ( in @ SV499 @ SV573 )
= $false )
| ( ( in @ SV499 @ SV1 )
= $true )
| ( ( in @ SV573 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK208_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4539]) ).
thf(4868,plain,
! [SV665: $i,SV1: $i,SV751: $i] :
( ( ( in @ SV751 @ SV1 )
= $false )
| ( ( ~ ( in @ SV665 @ SV751 )
| ( in @ SV665 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK208_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4540]) ).
thf(4869,plain,
! [SV1: $i,SV574: $i] :
( ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY633: $i] :
( ~ ( in @ SY633 @ ( sK208_SY8 @ SV1 ) )
| ( SV574 = SY633 )
| ( in @ SV574 @ SY633 ) ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4541]) ).
thf(4870,plain,
! [SV1: $i,SV575: $i,SV500: $i] :
( ( ( in @ SV500 @ SV575 )
= $false )
| ( ( in @ SV500 @ SV1 )
= $true )
| ( ( in @ SV575 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK209_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4542]) ).
thf(4871,plain,
! [SV666: $i,SV1: $i,SV752: $i] :
( ( ( in @ SV752 @ SV1 )
= $false )
| ( ( ~ ( in @ SV666 @ SV752 )
| ( in @ SV666 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK209_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4543]) ).
thf(4872,plain,
! [SV1: $i,SV576: $i] :
( ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY634: $i] :
( ~ ( in @ SY634 @ ( sK209_SY8 @ SV1 ) )
| ( SV576 = SY634 )
| ( in @ SV576 @ SY634 ) ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4544]) ).
thf(4873,plain,
! [SV1: $i,SV577: $i,SV501: $i] :
( ( ( in @ SV501 @ SV577 )
= $false )
| ( ( in @ SV501 @ SV1 )
= $true )
| ( ( in @ SV577 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK210_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4545]) ).
thf(4874,plain,
! [SV667: $i,SV1: $i,SV753: $i] :
( ( ( in @ SV753 @ SV1 )
= $false )
| ( ( ~ ( in @ SV667 @ SV753 )
| ( in @ SV667 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK210_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4546]) ).
thf(4875,plain,
! [SV1: $i,SV578: $i] :
( ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY635: $i] :
( ~ ( in @ SY635 @ ( sK210_SY8 @ SV1 ) )
| ( SV578 = SY635 )
| ( in @ SV578 @ SY635 ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4547]) ).
thf(4876,plain,
! [SV1: $i,SV579: $i,SV502: $i] :
( ( ( in @ SV502 @ SV579 )
= $false )
| ( ( in @ SV502 @ SV1 )
= $true )
| ( ( in @ SV579 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK211_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4548]) ).
thf(4877,plain,
! [SV668: $i,SV1: $i,SV754: $i] :
( ( ( in @ SV754 @ SV1 )
= $false )
| ( ( ~ ( in @ SV668 @ SV754 )
| ( in @ SV668 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK211_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4549]) ).
thf(4878,plain,
! [SV1: $i,SV580: $i] :
( ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY636: $i] :
( ~ ( in @ SY636 @ ( sK211_SY8 @ SV1 ) )
| ( SV580 = SY636 )
| ( in @ SV580 @ SY636 ) ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4550]) ).
thf(4879,plain,
! [SV1: $i,SV669: $i,SV581: $i] :
( ( ( ~ ( in @ SV581 @ SV669 ) )
= $true )
| ( ( in @ SV581 @ SV1 )
= $true )
| ( ( in @ SV669 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ( sK192_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4552]) ).
thf(4880,plain,
! [SV504: $i,SV1: $i] :
( ( ( ! [SY587: $i] :
( ~ ( in @ SY587 @ ( sK192_SY8 @ SV1 ) )
| ( SV504 = SY587 )
| ( in @ SV504 @ SY587 ) ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4553]) ).
thf(4881,plain,
! [SV1: $i,SV670: $i,SV582: $i] :
( ( ( ~ ( in @ SV582 @ SV670 ) )
= $true )
| ( ( in @ SV582 @ SV1 )
= $true )
| ( ( in @ SV670 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ( sK193_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4555]) ).
thf(4882,plain,
! [SV506: $i,SV1: $i] :
( ( ( ! [SY588: $i] :
( ~ ( in @ SY588 @ ( sK193_SY8 @ SV1 ) )
| ( SV506 = SY588 )
| ( in @ SV506 @ SY588 ) ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4556]) ).
thf(4883,plain,
! [SV148: $i,SV755: $i,SV1: $i,SV835: $i] :
( ( ( ~ ( in @ SV835 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV755 @ SV835 )
| ( in @ SV755 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK246_SY303 @ SV148 @ SV1 ) @ ( sK108_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4557]) ).
thf(4884,plain,
! [SV148: $i,SV756: $i,SV1: $i,SV836: $i] :
( ( ( ~ ( in @ SV836 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV756 @ SV836 )
| ( in @ SV756 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( SV148
= ( sK246_SY303 @ SV148 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4558]) ).
thf(4885,plain,
! [SV148: $i,SV757: $i,SV1: $i,SV837: $i] :
( ( ( ~ ( in @ SV837 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV757 @ SV837 )
| ( in @ SV757 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV148 @ ( sK246_SY303 @ SV148 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4559]) ).
thf(4886,plain,
! [SV150: $i,SV758: $i,SV1: $i,SV838: $i] :
( ( ( ~ ( in @ SV838 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV758 @ SV838 )
| ( in @ SV758 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK247_SY304 @ SV150 @ SV1 ) @ ( sK109_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4560]) ).
thf(4887,plain,
! [SV150: $i,SV759: $i,SV1: $i,SV839: $i] :
( ( ( ~ ( in @ SV839 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV759 @ SV839 )
| ( in @ SV759 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( SV150
= ( sK247_SY304 @ SV150 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4561]) ).
thf(4888,plain,
! [SV150: $i,SV760: $i,SV1: $i,SV840: $i] :
( ( ( ~ ( in @ SV840 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV760 @ SV840 )
| ( in @ SV760 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV150 @ ( sK247_SY304 @ SV150 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4562]) ).
thf(4889,plain,
! [SV262: $i,SV901: $i,SV1: $i] :
( ( ( ! [SY797: $i] :
( ~ ( in @ SY797 @ SV1 )
| ~ ( in @ SV901 @ SY797 )
| ( in @ SV901 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK268_SY397 @ SV262 @ SV1 ) @ ( sK136_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4563]) ).
thf(4890,plain,
! [SV262: $i,SV902: $i,SV1: $i] :
( ( ( ! [SY798: $i] :
( ~ ( in @ SY798 @ SV1 )
| ~ ( in @ SV902 @ SY798 )
| ( in @ SV902 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( SV262
= ( sK268_SY397 @ SV262 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4564]) ).
thf(4891,plain,
! [SV262: $i,SV903: $i,SV1: $i] :
( ( ( ! [SY799: $i] :
( ~ ( in @ SY799 @ SV1 )
| ~ ( in @ SV903 @ SY799 )
| ( in @ SV903 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV262 @ ( sK268_SY397 @ SV262 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4565]) ).
thf(4892,plain,
! [SV264: $i,SV904: $i,SV1: $i] :
( ( ( ! [SY800: $i] :
( ~ ( in @ SY800 @ SV1 )
| ~ ( in @ SV904 @ SY800 )
| ( in @ SV904 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK269_SY398 @ SV264 @ SV1 ) @ ( sK137_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4566]) ).
thf(4893,plain,
! [SV264: $i,SV905: $i,SV1: $i] :
( ( ( ! [SY801: $i] :
( ~ ( in @ SY801 @ SV1 )
| ~ ( in @ SV905 @ SY801 )
| ( in @ SV905 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( SV264
= ( sK269_SY398 @ SV264 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4567]) ).
thf(4894,plain,
! [SV264: $i,SV906: $i,SV1: $i] :
( ( ( ! [SY802: $i] :
( ~ ( in @ SY802 @ SV1 )
| ~ ( in @ SV906 @ SY802 )
| ( in @ SV906 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV264 @ ( sK269_SY398 @ SV264 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4568]) ).
thf(4895,plain,
! [SV1: $i,SV332: $i] :
( ( ( in @ ( sK284_SY471 @ SV332 @ SV1 ) @ ( sK160_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4569]) ).
thf(4896,plain,
! [SV1: $i,SV332: $i] :
( ( ( SV332
= ( sK284_SY471 @ SV332 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4570]) ).
thf(4897,plain,
! [SV1: $i,SV332: $i] :
( ( ( in @ SV332 @ ( sK284_SY471 @ SV332 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4570]) ).
thf(4898,plain,
! [SV1: $i,SV334: $i] :
( ( ( in @ ( sK285_SY472 @ SV334 @ SV1 ) @ ( sK161_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4571]) ).
thf(4899,plain,
! [SV1: $i,SV334: $i] :
( ( ( SV334
= ( sK285_SY472 @ SV334 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4572]) ).
thf(4900,plain,
! [SV1: $i,SV334: $i] :
( ( ( in @ SV334 @ ( sK285_SY472 @ SV334 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4572]) ).
thf(4901,plain,
! [SV1: $i,SV336: $i] :
( ( ( in @ ( sK286_SY473 @ SV336 @ SV1 ) @ ( sK162_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4573]) ).
thf(4902,plain,
! [SV1: $i,SV336: $i] :
( ( ( SV336
= ( sK286_SY473 @ SV336 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4574]) ).
thf(4903,plain,
! [SV1: $i,SV336: $i] :
( ( ( in @ SV336 @ ( sK286_SY473 @ SV336 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4574]) ).
thf(4904,plain,
! [SV1: $i,SV338: $i] :
( ( ( in @ ( sK287_SY474 @ SV338 @ SV1 ) @ ( sK163_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4575]) ).
thf(4905,plain,
! [SV1: $i,SV338: $i] :
( ( ( SV338
= ( sK287_SY474 @ SV338 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4576]) ).
thf(4906,plain,
! [SV1: $i,SV338: $i] :
( ( ( in @ SV338 @ ( sK287_SY474 @ SV338 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4576]) ).
thf(4907,plain,
! [SV270: $i,SV907: $i,SV1: $i] :
( ( ( ! [SY803: $i] :
( ~ ( in @ SY803 @ SV1 )
| ~ ( in @ SV907 @ SY803 )
| ( in @ SV907 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK270_SY403 @ SV270 @ SV1 ) @ ( sK138_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4577]) ).
thf(4908,plain,
! [SV270: $i,SV908: $i,SV1: $i] :
( ( ( ! [SY804: $i] :
( ~ ( in @ SY804 @ SV1 )
| ~ ( in @ SV908 @ SY804 )
| ( in @ SV908 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( SV270
= ( sK270_SY403 @ SV270 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4578]) ).
thf(4909,plain,
! [SV270: $i,SV909: $i,SV1: $i] :
( ( ( ! [SY805: $i] :
( ~ ( in @ SY805 @ SV1 )
| ~ ( in @ SV909 @ SY805 )
| ( in @ SV909 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK270_SY403 @ SV270 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4579]) ).
thf(4910,plain,
! [SV272: $i,SV910: $i,SV1: $i] :
( ( ( ! [SY806: $i] :
( ~ ( in @ SY806 @ SV1 )
| ~ ( in @ SV910 @ SY806 )
| ( in @ SV910 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK271_SY404 @ SV272 @ SV1 ) @ ( sK139_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4580]) ).
thf(4911,plain,
! [SV272: $i,SV911: $i,SV1: $i] :
( ( ( ! [SY807: $i] :
( ~ ( in @ SY807 @ SV1 )
| ~ ( in @ SV911 @ SY807 )
| ( in @ SV911 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( SV272
= ( sK271_SY404 @ SV272 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4581]) ).
thf(4912,plain,
! [SV272: $i,SV912: $i,SV1: $i] :
( ( ( ! [SY808: $i] :
( ~ ( in @ SY808 @ SV1 )
| ~ ( in @ SV912 @ SY808 )
| ( in @ SV912 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK271_SY404 @ SV272 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4582]) ).
thf(4913,plain,
! [SV62: $i,SV1: $i,SV671: $i,SV583: $i] :
( ( ( ~ ( in @ SV583 @ SV671 ) )
= $true )
| ( ( in @ SV583 @ SV1 )
= $true )
| ( ( in @ SV671 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK226_SY187 @ SV62 @ SV1 ) @ ( sK72_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4589]) ).
thf(4914,plain,
! [SV62: $i,SV1: $i,SV672: $i,SV584: $i] :
( ( ( ~ ( in @ SV584 @ SV672 ) )
= $true )
| ( ( in @ SV584 @ SV1 )
= $true )
| ( ( in @ SV672 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( SV62
= ( sK226_SY187 @ SV62 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4590]) ).
thf(4915,plain,
! [SV62: $i,SV1: $i,SV673: $i,SV585: $i] :
( ( ( ~ ( in @ SV585 @ SV673 ) )
= $true )
| ( ( in @ SV585 @ SV1 )
= $true )
| ( ( in @ SV673 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV62 @ ( sK226_SY187 @ SV62 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4591]) ).
thf(4916,plain,
! [SV64: $i,SV1: $i,SV674: $i,SV586: $i] :
( ( ( ~ ( in @ SV586 @ SV674 ) )
= $true )
| ( ( in @ SV586 @ SV1 )
= $true )
| ( ( in @ SV674 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK227_SY188 @ SV64 @ SV1 ) @ ( sK73_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4592]) ).
thf(4917,plain,
! [SV64: $i,SV1: $i,SV675: $i,SV587: $i] :
( ( ( ~ ( in @ SV587 @ SV675 ) )
= $true )
| ( ( in @ SV587 @ SV1 )
= $true )
| ( ( in @ SV675 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( SV64
= ( sK227_SY188 @ SV64 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4593]) ).
thf(4918,plain,
! [SV64: $i,SV1: $i,SV676: $i,SV588: $i] :
( ( ( ~ ( in @ SV588 @ SV676 ) )
= $true )
| ( ( in @ SV588 @ SV1 )
= $true )
| ( ( in @ SV676 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV64 @ ( sK227_SY188 @ SV64 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4594]) ).
thf(4919,plain,
! [SV102: $i,SV677: $i,SV1: $i,SV761: $i] :
( ( ( in @ SV761 @ SV1 )
= $false )
| ( ( ~ ( in @ SV677 @ SV761 )
| ( in @ SV677 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK236_SY249 @ SV102 @ SV1 ) @ ( sK92_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4595]) ).
thf(4920,plain,
! [SV102: $i,SV678: $i,SV1: $i,SV762: $i] :
( ( ( in @ SV762 @ SV1 )
= $false )
| ( ( ~ ( in @ SV678 @ SV762 )
| ( in @ SV678 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( SV102
= ( sK236_SY249 @ SV102 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4596]) ).
thf(4921,plain,
! [SV102: $i,SV679: $i,SV1: $i,SV763: $i] :
( ( ( in @ SV763 @ SV1 )
= $false )
| ( ( ~ ( in @ SV679 @ SV763 )
| ( in @ SV679 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK236_SY249 @ SV102 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4597]) ).
thf(4922,plain,
! [SV104: $i,SV680: $i,SV1: $i,SV764: $i] :
( ( ( in @ SV764 @ SV1 )
= $false )
| ( ( ~ ( in @ SV680 @ SV764 )
| ( in @ SV680 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK237_SY250 @ SV104 @ SV1 ) @ ( sK93_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4598]) ).
thf(4923,plain,
! [SV104: $i,SV681: $i,SV1: $i,SV765: $i] :
( ( ( in @ SV765 @ SV1 )
= $false )
| ( ( ~ ( in @ SV681 @ SV765 )
| ( in @ SV681 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( SV104
= ( sK237_SY250 @ SV104 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4599]) ).
thf(4924,plain,
! [SV104: $i,SV682: $i,SV1: $i,SV766: $i] :
( ( ( in @ SV766 @ SV1 )
= $false )
| ( ( ~ ( in @ SV682 @ SV766 )
| ( in @ SV682 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK237_SY250 @ SV104 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4600]) ).
thf(4925,plain,
! [SV106: $i,SV683: $i,SV1: $i,SV767: $i] :
( ( ( in @ SV767 @ SV1 )
= $false )
| ( ( ~ ( in @ SV683 @ SV767 )
| ( in @ SV683 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK238_SY251 @ SV106 @ SV1 ) @ ( sK94_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4601]) ).
thf(4926,plain,
! [SV106: $i,SV684: $i,SV1: $i,SV768: $i] :
( ( ( in @ SV768 @ SV1 )
= $false )
| ( ( ~ ( in @ SV684 @ SV768 )
| ( in @ SV684 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( SV106
= ( sK238_SY251 @ SV106 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4602]) ).
thf(4927,plain,
! [SV106: $i,SV685: $i,SV1: $i,SV769: $i] :
( ( ( in @ SV769 @ SV1 )
= $false )
| ( ( ~ ( in @ SV685 @ SV769 )
| ( in @ SV685 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK238_SY251 @ SV106 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4603]) ).
thf(4928,plain,
! [SV108: $i,SV686: $i,SV1: $i,SV770: $i] :
( ( ( in @ SV770 @ SV1 )
= $false )
| ( ( ~ ( in @ SV686 @ SV770 )
| ( in @ SV686 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK239_SY252 @ SV108 @ SV1 ) @ ( sK95_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4604]) ).
thf(4929,plain,
! [SV108: $i,SV687: $i,SV1: $i,SV771: $i] :
( ( ( in @ SV771 @ SV1 )
= $false )
| ( ( ~ ( in @ SV687 @ SV771 )
| ( in @ SV687 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( SV108
= ( sK239_SY252 @ SV108 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4605]) ).
thf(4930,plain,
! [SV108: $i,SV688: $i,SV1: $i,SV772: $i] :
( ( ( in @ SV772 @ SV1 )
= $false )
| ( ( ~ ( in @ SV688 @ SV772 )
| ( in @ SV688 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK239_SY252 @ SV108 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4606]) ).
thf(4931,plain,
! [SV70: $i,SV1: $i,SV689: $i,SV589: $i] :
( ( ( ~ ( in @ SV589 @ SV689 ) )
= $true )
| ( ( in @ SV589 @ SV1 )
= $true )
| ( ( in @ SV689 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK228_SY193 @ SV70 @ SV1 ) @ ( sK74_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4607]) ).
thf(4932,plain,
! [SV70: $i,SV1: $i,SV690: $i,SV590: $i] :
( ( ( ~ ( in @ SV590 @ SV690 ) )
= $true )
| ( ( in @ SV590 @ SV1 )
= $true )
| ( ( in @ SV690 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( SV70
= ( sK228_SY193 @ SV70 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4608]) ).
thf(4933,plain,
! [SV70: $i,SV1: $i,SV691: $i,SV591: $i] :
( ( ( ~ ( in @ SV591 @ SV691 ) )
= $true )
| ( ( in @ SV591 @ SV1 )
= $true )
| ( ( in @ SV691 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK228_SY193 @ SV70 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4609]) ).
thf(4934,plain,
! [SV72: $i,SV1: $i,SV692: $i,SV592: $i] :
( ( ( ~ ( in @ SV592 @ SV692 ) )
= $true )
| ( ( in @ SV592 @ SV1 )
= $true )
| ( ( in @ SV692 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK229_SY194 @ SV72 @ SV1 ) @ ( sK75_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4610]) ).
thf(4935,plain,
! [SV72: $i,SV1: $i,SV693: $i,SV593: $i] :
( ( ( ~ ( in @ SV593 @ SV693 ) )
= $true )
| ( ( in @ SV593 @ SV1 )
= $true )
| ( ( in @ SV693 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( SV72
= ( sK229_SY194 @ SV72 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4611]) ).
thf(4936,plain,
! [SV72: $i,SV1: $i,SV694: $i,SV594: $i] :
( ( ( ~ ( in @ SV594 @ SV694 ) )
= $true )
| ( ( in @ SV594 @ SV1 )
= $true )
| ( ( in @ SV694 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK229_SY194 @ SV72 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4612]) ).
thf(4937,plain,
! [SV74: $i,SV1: $i,SV695: $i,SV595: $i] :
( ( ( ~ ( in @ SV595 @ SV695 ) )
= $true )
| ( ( in @ SV595 @ SV1 )
= $true )
| ( ( in @ SV695 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK230_SY195 @ SV74 @ SV1 ) @ ( sK76_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4613]) ).
thf(4938,plain,
! [SV74: $i,SV1: $i,SV696: $i,SV596: $i] :
( ( ( ~ ( in @ SV596 @ SV696 ) )
= $true )
| ( ( in @ SV596 @ SV1 )
= $true )
| ( ( in @ SV696 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( SV74
= ( sK230_SY195 @ SV74 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4614]) ).
thf(4939,plain,
! [SV74: $i,SV1: $i,SV697: $i,SV597: $i] :
( ( ( ~ ( in @ SV597 @ SV697 ) )
= $true )
| ( ( in @ SV597 @ SV1 )
= $true )
| ( ( in @ SV697 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV74 @ ( sK230_SY195 @ SV74 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4615]) ).
thf(4940,plain,
! [SV76: $i,SV1: $i,SV698: $i,SV598: $i] :
( ( ( ~ ( in @ SV598 @ SV698 ) )
= $true )
| ( ( in @ SV598 @ SV1 )
= $true )
| ( ( in @ SV698 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK231_SY196 @ SV76 @ SV1 ) @ ( sK77_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4616]) ).
thf(4941,plain,
! [SV76: $i,SV1: $i,SV699: $i,SV599: $i] :
( ( ( ~ ( in @ SV599 @ SV699 ) )
= $true )
| ( ( in @ SV599 @ SV1 )
= $true )
| ( ( in @ SV699 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( SV76
= ( sK231_SY196 @ SV76 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4617]) ).
thf(4942,plain,
! [SV76: $i,SV1: $i,SV700: $i,SV600: $i] :
( ( ( ~ ( in @ SV600 @ SV700 ) )
= $true )
| ( ( in @ SV600 @ SV1 )
= $true )
| ( ( in @ SV700 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV76 @ ( sK231_SY196 @ SV76 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4618]) ).
thf(4943,plain,
! [SV162: $i,SV773: $i,SV1: $i,SV841: $i] :
( ( ( ~ ( in @ SV841 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV773 @ SV841 )
| ( in @ SV773 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK248_SY309 @ SV162 @ SV1 ) @ ( sK110_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4619]) ).
thf(4944,plain,
! [SV162: $i,SV774: $i,SV1: $i,SV842: $i] :
( ( ( ~ ( in @ SV842 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV774 @ SV842 )
| ( in @ SV774 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( SV162
= ( sK248_SY309 @ SV162 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4620]) ).
thf(4945,plain,
! [SV162: $i,SV775: $i,SV1: $i,SV843: $i] :
( ( ( ~ ( in @ SV843 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV775 @ SV843 )
| ( in @ SV775 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV162 @ ( sK248_SY309 @ SV162 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4621]) ).
thf(4946,plain,
! [SV164: $i,SV776: $i,SV1: $i,SV844: $i] :
( ( ( ~ ( in @ SV844 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV776 @ SV844 )
| ( in @ SV776 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK249_SY310 @ SV164 @ SV1 ) @ ( sK111_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4622]) ).
thf(4947,plain,
! [SV164: $i,SV777: $i,SV1: $i,SV845: $i] :
( ( ( ~ ( in @ SV845 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV777 @ SV845 )
| ( in @ SV777 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( SV164
= ( sK249_SY310 @ SV164 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4623]) ).
thf(4948,plain,
! [SV164: $i,SV778: $i,SV1: $i,SV846: $i] :
( ( ( ~ ( in @ SV846 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV778 @ SV846 )
| ( in @ SV778 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV164 @ ( sK249_SY310 @ SV164 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4624]) ).
thf(4949,plain,
! [SV216: $i,SV847: $i,SV1: $i,SV913: $i] :
( ( ( ~ ( in @ SV913 @ SV1 )
| ~ ( in @ SV847 @ SV913 )
| ( in @ SV847 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK260_SY351 @ SV216 @ SV1 ) @ ( sK124_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4625]) ).
thf(4950,plain,
! [SV216: $i,SV848: $i,SV1: $i,SV914: $i] :
( ( ( ~ ( in @ SV914 @ SV1 )
| ~ ( in @ SV848 @ SV914 )
| ( in @ SV848 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( SV216
= ( sK260_SY351 @ SV216 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4626]) ).
thf(4951,plain,
! [SV216: $i,SV849: $i,SV1: $i,SV915: $i] :
( ( ( ~ ( in @ SV915 @ SV1 )
| ~ ( in @ SV849 @ SV915 )
| ( in @ SV849 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK260_SY351 @ SV216 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4627]) ).
thf(4952,plain,
! [SV218: $i,SV850: $i,SV1: $i,SV916: $i] :
( ( ( ~ ( in @ SV916 @ SV1 )
| ~ ( in @ SV850 @ SV916 )
| ( in @ SV850 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK261_SY352 @ SV218 @ SV1 ) @ ( sK125_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4628]) ).
thf(4953,plain,
! [SV218: $i,SV851: $i,SV1: $i,SV917: $i] :
( ( ( ~ ( in @ SV917 @ SV1 )
| ~ ( in @ SV851 @ SV917 )
| ( in @ SV851 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( SV218
= ( sK261_SY352 @ SV218 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4629]) ).
thf(4954,plain,
! [SV218: $i,SV852: $i,SV1: $i,SV918: $i] :
( ( ( ~ ( in @ SV918 @ SV1 )
| ~ ( in @ SV852 @ SV918 )
| ( in @ SV852 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK261_SY352 @ SV218 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4630]) ).
thf(4955,plain,
! [SV220: $i,SV853: $i,SV1: $i,SV919: $i] :
( ( ( ~ ( in @ SV919 @ SV1 )
| ~ ( in @ SV853 @ SV919 )
| ( in @ SV853 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK262_SY353 @ SV220 @ SV1 ) @ ( sK126_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4631]) ).
thf(4956,plain,
! [SV220: $i,SV854: $i,SV1: $i,SV920: $i] :
( ( ( ~ ( in @ SV920 @ SV1 )
| ~ ( in @ SV854 @ SV920 )
| ( in @ SV854 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( SV220
= ( sK262_SY353 @ SV220 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4632]) ).
thf(4957,plain,
! [SV220: $i,SV855: $i,SV1: $i,SV921: $i] :
( ( ( ~ ( in @ SV921 @ SV1 )
| ~ ( in @ SV855 @ SV921 )
| ( in @ SV855 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK262_SY353 @ SV220 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4633]) ).
thf(4958,plain,
! [SV222: $i,SV856: $i,SV1: $i,SV922: $i] :
( ( ( ~ ( in @ SV922 @ SV1 )
| ~ ( in @ SV856 @ SV922 )
| ( in @ SV856 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK263_SY354 @ SV222 @ SV1 ) @ ( sK127_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4634]) ).
thf(4959,plain,
! [SV222: $i,SV857: $i,SV1: $i,SV923: $i] :
( ( ( ~ ( in @ SV923 @ SV1 )
| ~ ( in @ SV857 @ SV923 )
| ( in @ SV857 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( SV222
= ( sK263_SY354 @ SV222 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4635]) ).
thf(4960,plain,
! [SV222: $i,SV858: $i,SV1: $i,SV924: $i] :
( ( ( ~ ( in @ SV924 @ SV1 )
| ~ ( in @ SV858 @ SV924 )
| ( in @ SV858 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK263_SY354 @ SV222 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4636]) ).
thf(4961,plain,
! [SV170: $i,SV779: $i,SV1: $i,SV859: $i] :
( ( ( ~ ( in @ SV859 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV779 @ SV859 )
| ( in @ SV779 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK250_SY315 @ SV170 @ SV1 ) @ ( sK112_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4637]) ).
thf(4962,plain,
! [SV170: $i,SV780: $i,SV1: $i,SV860: $i] :
( ( ( ~ ( in @ SV860 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV780 @ SV860 )
| ( in @ SV780 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( SV170
= ( sK250_SY315 @ SV170 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4638]) ).
thf(4963,plain,
! [SV170: $i,SV781: $i,SV1: $i,SV861: $i] :
( ( ( ~ ( in @ SV861 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV781 @ SV861 )
| ( in @ SV781 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK250_SY315 @ SV170 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4639]) ).
thf(4964,plain,
! [SV172: $i,SV782: $i,SV1: $i,SV862: $i] :
( ( ( ~ ( in @ SV862 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV782 @ SV862 )
| ( in @ SV782 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK251_SY316 @ SV172 @ SV1 ) @ ( sK113_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4640]) ).
thf(4965,plain,
! [SV172: $i,SV783: $i,SV1: $i,SV863: $i] :
( ( ( ~ ( in @ SV863 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV783 @ SV863 )
| ( in @ SV783 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( SV172
= ( sK251_SY316 @ SV172 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4641]) ).
thf(4966,plain,
! [SV172: $i,SV784: $i,SV1: $i,SV864: $i] :
( ( ( ~ ( in @ SV864 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV784 @ SV864 )
| ( in @ SV784 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK251_SY316 @ SV172 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4642]) ).
thf(4967,plain,
! [SV174: $i,SV785: $i,SV1: $i,SV865: $i] :
( ( ( ~ ( in @ SV865 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV785 @ SV865 )
| ( in @ SV785 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK252_SY317 @ SV174 @ SV1 ) @ ( sK114_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4643]) ).
thf(4968,plain,
! [SV174: $i,SV786: $i,SV1: $i,SV866: $i] :
( ( ( ~ ( in @ SV866 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV786 @ SV866 )
| ( in @ SV786 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( SV174
= ( sK252_SY317 @ SV174 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4644]) ).
thf(4969,plain,
! [SV174: $i,SV787: $i,SV1: $i,SV867: $i] :
( ( ( ~ ( in @ SV867 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV787 @ SV867 )
| ( in @ SV787 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV174 @ ( sK252_SY317 @ SV174 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4645]) ).
thf(4970,plain,
! [SV176: $i,SV788: $i,SV1: $i,SV868: $i] :
( ( ( ~ ( in @ SV868 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV788 @ SV868 )
| ( in @ SV788 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK253_SY318 @ SV176 @ SV1 ) @ ( sK115_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4646]) ).
thf(4971,plain,
! [SV176: $i,SV789: $i,SV1: $i,SV869: $i] :
( ( ( ~ ( in @ SV869 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV789 @ SV869 )
| ( in @ SV789 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( SV176
= ( sK253_SY318 @ SV176 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4647]) ).
thf(4972,plain,
! [SV176: $i,SV790: $i,SV1: $i,SV870: $i] :
( ( ( ~ ( in @ SV870 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV790 @ SV870 )
| ( in @ SV790 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV176 @ ( sK253_SY318 @ SV176 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4648]) ).
thf(4973,plain,
! [SV284: $i,SV925: $i,SV1: $i] :
( ( ( ! [SY809: $i] :
( ~ ( in @ SY809 @ SV1 )
| ~ ( in @ SV925 @ SY809 )
| ( in @ SV925 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK272_SY409 @ SV284 @ SV1 ) @ ( sK140_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4649]) ).
thf(4974,plain,
! [SV284: $i,SV926: $i,SV1: $i] :
( ( ( ! [SY810: $i] :
( ~ ( in @ SY810 @ SV1 )
| ~ ( in @ SV926 @ SY810 )
| ( in @ SV926 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( SV284
= ( sK272_SY409 @ SV284 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4650]) ).
thf(4975,plain,
! [SV284: $i,SV927: $i,SV1: $i] :
( ( ( ! [SY811: $i] :
( ~ ( in @ SY811 @ SV1 )
| ~ ( in @ SV927 @ SY811 )
| ( in @ SV927 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV284 @ ( sK272_SY409 @ SV284 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4651]) ).
thf(4976,plain,
! [SV286: $i,SV928: $i,SV1: $i] :
( ( ( ! [SY812: $i] :
( ~ ( in @ SY812 @ SV1 )
| ~ ( in @ SV928 @ SY812 )
| ( in @ SV928 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK273_SY410 @ SV286 @ SV1 ) @ ( sK141_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4652]) ).
thf(4977,plain,
! [SV286: $i,SV929: $i,SV1: $i] :
( ( ( ! [SY813: $i] :
( ~ ( in @ SY813 @ SV1 )
| ~ ( in @ SV929 @ SY813 )
| ( in @ SV929 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( SV286
= ( sK273_SY410 @ SV286 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4653]) ).
thf(4978,plain,
! [SV286: $i,SV930: $i,SV1: $i] :
( ( ( ! [SY814: $i] :
( ~ ( in @ SY814 @ SV1 )
| ~ ( in @ SV930 @ SY814 )
| ( in @ SV930 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV286 @ ( sK273_SY410 @ SV286 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4654]) ).
thf(4979,plain,
! [SV1: $i,SV348: $i] :
( ( ( in @ ( sK288_SY479 @ SV348 @ SV1 ) @ ( sK164_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4655]) ).
thf(4980,plain,
! [SV1: $i,SV348: $i] :
( ( ( SV348
= ( sK288_SY479 @ SV348 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4656]) ).
thf(4981,plain,
! [SV1: $i,SV348: $i] :
( ( ( in @ SV348 @ ( sK288_SY479 @ SV348 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4656]) ).
thf(4982,plain,
! [SV1: $i,SV350: $i] :
( ( ( in @ ( sK289_SY480 @ SV350 @ SV1 ) @ ( sK165_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4657]) ).
thf(4983,plain,
! [SV1: $i,SV350: $i] :
( ( ( SV350
= ( sK289_SY480 @ SV350 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4658]) ).
thf(4984,plain,
! [SV1: $i,SV350: $i] :
( ( ( in @ SV350 @ ( sK289_SY480 @ SV350 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4658]) ).
thf(4985,plain,
! [SV1: $i,SV352: $i] :
( ( ( in @ ( sK290_SY481 @ SV352 @ SV1 ) @ ( sK166_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4659]) ).
thf(4986,plain,
! [SV1: $i,SV352: $i] :
( ( ( SV352
= ( sK290_SY481 @ SV352 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4660]) ).
thf(4987,plain,
! [SV1: $i,SV352: $i] :
( ( ( in @ SV352 @ ( sK290_SY481 @ SV352 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4660]) ).
thf(4988,plain,
! [SV1: $i,SV354: $i] :
( ( ( in @ ( sK291_SY482 @ SV354 @ SV1 ) @ ( sK167_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4661]) ).
thf(4989,plain,
! [SV1: $i,SV354: $i] :
( ( ( SV354
= ( sK291_SY482 @ SV354 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4662]) ).
thf(4990,plain,
! [SV1: $i,SV354: $i] :
( ( ( in @ SV354 @ ( sK291_SY482 @ SV354 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4662]) ).
thf(4991,plain,
! [SV292: $i,SV931: $i,SV1: $i] :
( ( ( ! [SY815: $i] :
( ~ ( in @ SY815 @ SV1 )
| ~ ( in @ SV931 @ SY815 )
| ( in @ SV931 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK274_SY415 @ SV292 @ SV1 ) @ ( sK142_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4663]) ).
thf(4992,plain,
! [SV292: $i,SV932: $i,SV1: $i] :
( ( ( ! [SY816: $i] :
( ~ ( in @ SY816 @ SV1 )
| ~ ( in @ SV932 @ SY816 )
| ( in @ SV932 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( SV292
= ( sK274_SY415 @ SV292 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4664]) ).
thf(4993,plain,
! [SV292: $i,SV933: $i,SV1: $i] :
( ( ( ! [SY817: $i] :
( ~ ( in @ SY817 @ SV1 )
| ~ ( in @ SV933 @ SY817 )
| ( in @ SV933 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK274_SY415 @ SV292 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4665]) ).
thf(4994,plain,
! [SV294: $i,SV934: $i,SV1: $i] :
( ( ( ! [SY818: $i] :
( ~ ( in @ SY818 @ SV1 )
| ~ ( in @ SV934 @ SY818 )
| ( in @ SV934 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK275_SY416 @ SV294 @ SV1 ) @ ( sK143_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4666]) ).
thf(4995,plain,
! [SV294: $i,SV935: $i,SV1: $i] :
( ( ( ! [SY819: $i] :
( ~ ( in @ SY819 @ SV1 )
| ~ ( in @ SV935 @ SY819 )
| ( in @ SV935 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( SV294
= ( sK275_SY416 @ SV294 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4667]) ).
thf(4996,plain,
! [SV294: $i,SV936: $i,SV1: $i] :
( ( ( ! [SY820: $i] :
( ~ ( in @ SY820 @ SV1 )
| ~ ( in @ SV936 @ SY820 )
| ( in @ SV936 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK275_SY416 @ SV294 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4668]) ).
thf(4997,plain,
! [SV1: $i,SV406: $i] :
( ( ( ~ ( in @ ( sK300_SY529 @ SV406 @ SV1 ) @ ( sK180_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4670]) ).
thf(4998,plain,
! [SV1: $i,SV406: $i] :
( ( ( ( SV406
= ( sK300_SY529 @ SV406 @ SV1 ) )
| ( in @ SV406 @ ( sK300_SY529 @ SV406 @ SV1 ) ) )
= $false )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4670]) ).
thf(4999,plain,
! [SV1: $i,SV408: $i] :
( ( ( ~ ( in @ ( sK301_SY530 @ SV408 @ SV1 ) @ ( sK181_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4672]) ).
thf(5000,plain,
! [SV1: $i,SV408: $i] :
( ( ( ( SV408
= ( sK301_SY530 @ SV408 @ SV1 ) )
| ( in @ SV408 @ ( sK301_SY530 @ SV408 @ SV1 ) ) )
= $false )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4672]) ).
thf(5001,plain,
! [SV1: $i,SV701: $i,SV601: $i] :
( ( ( ~ ( in @ SV601 @ SV701 ) )
= $true )
| ( ( in @ SV601 @ SV1 )
= $true )
| ( ( in @ SV701 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK196_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4674]) ).
thf(5002,plain,
! [SV516: $i,SV1: $i] :
( ( ( ! [SY589: $i] :
( ~ ( in @ SY589 @ ( sK196_SY8 @ SV1 ) )
| ( SV516 = SY589 )
| ( in @ SV516 @ SY589 ) ) )
= $false )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4675]) ).
thf(5003,plain,
! [SV1: $i,SV702: $i,SV602: $i] :
( ( ( ~ ( in @ SV602 @ SV702 ) )
= $true )
| ( ( in @ SV602 @ SV1 )
= $true )
| ( ( in @ SV702 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK197_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4677]) ).
thf(5004,plain,
! [SV518: $i,SV1: $i] :
( ( ( ! [SY590: $i] :
( ~ ( in @ SY590 @ ( sK197_SY8 @ SV1 ) )
| ( SV518 = SY590 )
| ( in @ SV518 @ SY590 ) ) )
= $false )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4678]) ).
thf(5005,plain,
! [SV1: $i,SV603: $i,SV519: $i] :
( ( ( in @ SV519 @ SV603 )
= $false )
| ( ( in @ SV519 @ SV1 )
= $true )
| ( ( in @ SV603 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK212_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4679]) ).
thf(5006,plain,
! [SV703: $i,SV1: $i,SV791: $i] :
( ( ( in @ SV791 @ SV1 )
= $false )
| ( ( ~ ( in @ SV703 @ SV791 )
| ( in @ SV703 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK212_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4680]) ).
thf(5007,plain,
! [SV1: $i,SV604: $i] :
( ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY659: $i] :
( ~ ( in @ SY659 @ ( sK212_SY8 @ SV1 ) )
| ( SV604 = SY659 )
| ( in @ SV604 @ SY659 ) ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4681]) ).
thf(5008,plain,
! [SV1: $i,SV605: $i,SV520: $i] :
( ( ( in @ SV520 @ SV605 )
= $false )
| ( ( in @ SV520 @ SV1 )
= $true )
| ( ( in @ SV605 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK213_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4682]) ).
thf(5009,plain,
! [SV704: $i,SV1: $i,SV792: $i] :
( ( ( in @ SV792 @ SV1 )
= $false )
| ( ( ~ ( in @ SV704 @ SV792 )
| ( in @ SV704 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK213_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4683]) ).
thf(5010,plain,
! [SV1: $i,SV606: $i] :
( ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY660: $i] :
( ~ ( in @ SY660 @ ( sK213_SY8 @ SV1 ) )
| ( SV606 = SY660 )
| ( in @ SV606 @ SY660 ) ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4684]) ).
thf(5011,plain,
! [SV1: $i,SV607: $i,SV521: $i] :
( ( ( in @ SV521 @ SV607 )
= $false )
| ( ( in @ SV521 @ SV1 )
= $true )
| ( ( in @ SV607 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK214_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4685]) ).
thf(5012,plain,
! [SV705: $i,SV1: $i,SV793: $i] :
( ( ( in @ SV793 @ SV1 )
= $false )
| ( ( ~ ( in @ SV705 @ SV793 )
| ( in @ SV705 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK214_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4686]) ).
thf(5013,plain,
! [SV1: $i,SV608: $i] :
( ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY661: $i] :
( ~ ( in @ SY661 @ ( sK214_SY8 @ SV1 ) )
| ( SV608 = SY661 )
| ( in @ SV608 @ SY661 ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4687]) ).
thf(5014,plain,
! [SV1: $i,SV609: $i,SV522: $i] :
( ( ( in @ SV522 @ SV609 )
= $false )
| ( ( in @ SV522 @ SV1 )
= $true )
| ( ( in @ SV609 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK215_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4688]) ).
thf(5015,plain,
! [SV706: $i,SV1: $i,SV794: $i] :
( ( ( in @ SV794 @ SV1 )
= $false )
| ( ( ~ ( in @ SV706 @ SV794 )
| ( in @ SV706 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK215_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4689]) ).
thf(5016,plain,
! [SV1: $i,SV610: $i] :
( ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY662: $i] :
( ~ ( in @ SY662 @ ( sK215_SY8 @ SV1 ) )
| ( SV610 = SY662 )
| ( in @ SV610 @ SY662 ) ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4690]) ).
thf(5017,plain,
! [SV1: $i,SV707: $i,SV611: $i] :
( ( ( ~ ( in @ SV611 @ SV707 ) )
= $true )
| ( ( in @ SV611 @ SV1 )
= $true )
| ( ( in @ SV707 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ( sK198_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4692]) ).
thf(5018,plain,
! [SV524: $i,SV1: $i] :
( ( ( ! [SY595: $i] :
( ~ ( in @ SY595 @ ( sK198_SY8 @ SV1 ) )
| ( SV524 = SY595 )
| ( in @ SV524 @ SY595 ) ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4693]) ).
thf(5019,plain,
! [SV1: $i,SV708: $i,SV612: $i] :
( ( ( ~ ( in @ SV612 @ SV708 ) )
= $true )
| ( ( in @ SV612 @ SV1 )
= $true )
| ( ( in @ SV708 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ( sK199_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4695]) ).
thf(5020,plain,
! [SV526: $i,SV1: $i] :
( ( ( ! [SY596: $i] :
( ~ ( in @ SY596 @ ( sK199_SY8 @ SV1 ) )
| ( SV526 = SY596 )
| ( in @ SV526 @ SY596 ) ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4696]) ).
thf(5021,plain,
! [SV1: $i,SV410: $i] :
( ( ( ~ ( in @ ( sK302_SY531 @ SV410 @ SV1 ) @ ( sK182_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4698]) ).
thf(5022,plain,
! [SV1: $i,SV410: $i] :
( ( ( ( SV410
= ( sK302_SY531 @ SV410 @ SV1 ) )
| ( in @ SV410 @ ( sK302_SY531 @ SV410 @ SV1 ) ) )
= $false )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4698]) ).
thf(5023,plain,
! [SV1: $i,SV412: $i] :
( ( ( ~ ( in @ ( sK303_SY532 @ SV412 @ SV1 ) @ ( sK183_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4700]) ).
thf(5024,plain,
! [SV1: $i,SV412: $i] :
( ( ( ( SV412
= ( sK303_SY532 @ SV412 @ SV1 ) )
| ( in @ SV412 @ ( sK303_SY532 @ SV412 @ SV1 ) ) )
= $false )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4700]) ).
thf(5025,plain,
! [SV1: $i,SV709: $i,SV613: $i] :
( ( ( ~ ( in @ SV613 @ SV709 ) )
= $true )
| ( ( in @ SV613 @ SV1 )
= $true )
| ( ( in @ SV709 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK200_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4702]) ).
thf(5026,plain,
! [SV530: $i,SV1: $i] :
( ( ( ! [SY597: $i] :
( ~ ( in @ SY597 @ ( sK200_SY8 @ SV1 ) )
| ( SV530 = SY597 )
| ( in @ SV530 @ SY597 ) ) )
= $false )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4703]) ).
thf(5027,plain,
! [SV1: $i,SV710: $i,SV614: $i] :
( ( ( ~ ( in @ SV614 @ SV710 ) )
= $true )
| ( ( in @ SV614 @ SV1 )
= $true )
| ( ( in @ SV710 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK201_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4705]) ).
thf(5028,plain,
! [SV532: $i,SV1: $i] :
( ( ( ! [SY598: $i] :
( ~ ( in @ SY598 @ ( sK201_SY8 @ SV1 ) )
| ( SV532 = SY598 )
| ( in @ SV532 @ SY598 ) ) )
= $false )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4706]) ).
thf(5029,plain,
! [SV1: $i,SV615: $i,SV533: $i] :
( ( ( in @ SV533 @ SV615 )
= $false )
| ( ( in @ SV533 @ SV1 )
= $true )
| ( ( in @ SV615 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK216_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4707]) ).
thf(5030,plain,
! [SV711: $i,SV1: $i,SV795: $i] :
( ( ( in @ SV795 @ SV1 )
= $false )
| ( ( ~ ( in @ SV711 @ SV795 )
| ( in @ SV711 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK216_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4708]) ).
thf(5031,plain,
! [SV1: $i,SV616: $i] :
( ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY667: $i] :
( ~ ( in @ SY667 @ ( sK216_SY8 @ SV1 ) )
| ( SV616 = SY667 )
| ( in @ SV616 @ SY667 ) ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4709]) ).
thf(5032,plain,
! [SV1: $i,SV617: $i,SV534: $i] :
( ( ( in @ SV534 @ SV617 )
= $false )
| ( ( in @ SV534 @ SV1 )
= $true )
| ( ( in @ SV617 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK217_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4710]) ).
thf(5033,plain,
! [SV712: $i,SV1: $i,SV796: $i] :
( ( ( in @ SV796 @ SV1 )
= $false )
| ( ( ~ ( in @ SV712 @ SV796 )
| ( in @ SV712 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK217_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4711]) ).
thf(5034,plain,
! [SV1: $i,SV618: $i] :
( ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY668: $i] :
( ~ ( in @ SY668 @ ( sK217_SY8 @ SV1 ) )
| ( SV618 = SY668 )
| ( in @ SV618 @ SY668 ) ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4712]) ).
thf(5035,plain,
! [SV1: $i,SV619: $i,SV535: $i] :
( ( ( in @ SV535 @ SV619 )
= $false )
| ( ( in @ SV535 @ SV1 )
= $true )
| ( ( in @ SV619 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK218_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4713]) ).
thf(5036,plain,
! [SV713: $i,SV1: $i,SV797: $i] :
( ( ( in @ SV797 @ SV1 )
= $false )
| ( ( ~ ( in @ SV713 @ SV797 )
| ( in @ SV713 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK218_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4714]) ).
thf(5037,plain,
! [SV1: $i,SV620: $i] :
( ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY669: $i] :
( ~ ( in @ SY669 @ ( sK218_SY8 @ SV1 ) )
| ( SV620 = SY669 )
| ( in @ SV620 @ SY669 ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4715]) ).
thf(5038,plain,
! [SV1: $i,SV621: $i,SV536: $i] :
( ( ( in @ SV536 @ SV621 )
= $false )
| ( ( in @ SV536 @ SV1 )
= $true )
| ( ( in @ SV621 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK219_SY8 @ SV1 ) @ ( powerset @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4716]) ).
thf(5039,plain,
! [SV714: $i,SV1: $i,SV798: $i] :
( ( ( in @ SV798 @ SV1 )
= $false )
| ( ( ~ ( in @ SV714 @ SV798 )
| ( in @ SV714 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK219_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4717]) ).
thf(5040,plain,
! [SV1: $i,SV622: $i] :
( ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( ~ ! [SY670: $i] :
( ~ ( in @ SY670 @ ( sK219_SY8 @ SV1 ) )
| ( SV622 = SY670 )
| ( in @ SV622 @ SY670 ) ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4718]) ).
thf(5041,plain,
! [SV1: $i,SV715: $i,SV623: $i] :
( ( ( ~ ( in @ SV623 @ SV715 ) )
= $true )
| ( ( in @ SV623 @ SV1 )
= $true )
| ( ( in @ SV715 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ( sK202_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4720]) ).
thf(5042,plain,
! [SV538: $i,SV1: $i] :
( ( ( ! [SY603: $i] :
( ~ ( in @ SY603 @ ( sK202_SY8 @ SV1 ) )
| ( SV538 = SY603 )
| ( in @ SV538 @ SY603 ) ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4721]) ).
thf(5043,plain,
! [SV1: $i,SV716: $i,SV624: $i] :
( ( ( ~ ( in @ SV624 @ SV716 ) )
= $true )
| ( ( in @ SV624 @ SV1 )
= $true )
| ( ( in @ SV716 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ( sK203_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4723]) ).
thf(5044,plain,
! [SV540: $i,SV1: $i] :
( ( ( ! [SY604: $i] :
( ~ ( in @ SY604 @ ( sK203_SY8 @ SV1 ) )
| ( SV540 = SY604 )
| ( in @ SV540 @ SY604 ) ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4724]) ).
thf(5045,plain,
! [SV178: $i,SV799: $i,SV1: $i,SV871: $i] :
( ( ( ~ ( in @ SV871 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV799 @ SV871 )
| ( in @ SV799 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK254_SY327 @ SV178 @ SV1 ) @ ( sK118_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4725]) ).
thf(5046,plain,
! [SV178: $i,SV800: $i,SV1: $i,SV872: $i] :
( ( ( ~ ( in @ SV872 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV800 @ SV872 )
| ( in @ SV800 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( SV178
= ( sK254_SY327 @ SV178 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4726]) ).
thf(5047,plain,
! [SV178: $i,SV801: $i,SV1: $i,SV873: $i] :
( ( ( ~ ( in @ SV873 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV801 @ SV873 )
| ( in @ SV801 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV178 @ ( sK254_SY327 @ SV178 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4727]) ).
thf(5048,plain,
! [SV180: $i,SV802: $i,SV1: $i,SV874: $i] :
( ( ( ~ ( in @ SV874 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV802 @ SV874 )
| ( in @ SV802 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK255_SY328 @ SV180 @ SV1 ) @ ( sK119_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4728]) ).
thf(5049,plain,
! [SV180: $i,SV803: $i,SV1: $i,SV875: $i] :
( ( ( ~ ( in @ SV875 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV803 @ SV875 )
| ( in @ SV803 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( SV180
= ( sK255_SY328 @ SV180 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4729]) ).
thf(5050,plain,
! [SV180: $i,SV804: $i,SV1: $i,SV876: $i] :
( ( ( ~ ( in @ SV876 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV804 @ SV876 )
| ( in @ SV804 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV180 @ ( sK255_SY328 @ SV180 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4730]) ).
thf(5051,plain,
! [SV298: $i,SV937: $i,SV1: $i] :
( ( ( ! [SY821: $i] :
( ~ ( in @ SY821 @ SV1 )
| ~ ( in @ SV937 @ SY821 )
| ( in @ SV937 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK276_SY433 @ SV298 @ SV1 ) @ ( sK148_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4731]) ).
thf(5052,plain,
! [SV298: $i,SV938: $i,SV1: $i] :
( ( ( ! [SY822: $i] :
( ~ ( in @ SY822 @ SV1 )
| ~ ( in @ SV938 @ SY822 )
| ( in @ SV938 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( SV298
= ( sK276_SY433 @ SV298 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4732]) ).
thf(5053,plain,
! [SV298: $i,SV939: $i,SV1: $i] :
( ( ( ! [SY823: $i] :
( ~ ( in @ SY823 @ SV1 )
| ~ ( in @ SV939 @ SY823 )
| ( in @ SV939 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV298 @ ( sK276_SY433 @ SV298 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4733]) ).
thf(5054,plain,
! [SV300: $i,SV940: $i,SV1: $i] :
( ( ( ! [SY824: $i] :
( ~ ( in @ SY824 @ SV1 )
| ~ ( in @ SV940 @ SY824 )
| ( in @ SV940 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK277_SY434 @ SV300 @ SV1 ) @ ( sK149_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4734]) ).
thf(5055,plain,
! [SV300: $i,SV941: $i,SV1: $i] :
( ( ( ! [SY825: $i] :
( ~ ( in @ SY825 @ SV1 )
| ~ ( in @ SV941 @ SY825 )
| ( in @ SV941 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( SV300
= ( sK277_SY434 @ SV300 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4735]) ).
thf(5056,plain,
! [SV300: $i,SV942: $i,SV1: $i] :
( ( ( ! [SY826: $i] :
( ~ ( in @ SY826 @ SV1 )
| ~ ( in @ SV942 @ SY826 )
| ( in @ SV942 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV300 @ ( sK277_SY434 @ SV300 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4736]) ).
thf(5057,plain,
! [SV1: $i,SV364: $i] :
( ( ( in @ ( sK292_SY507 @ SV364 @ SV1 ) @ ( sK172_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4737]) ).
thf(5058,plain,
! [SV1: $i,SV364: $i] :
( ( ( SV364
= ( sK292_SY507 @ SV364 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4738]) ).
thf(5059,plain,
! [SV1: $i,SV364: $i] :
( ( ( in @ SV364 @ ( sK292_SY507 @ SV364 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4738]) ).
thf(5060,plain,
! [SV1: $i,SV366: $i] :
( ( ( in @ ( sK293_SY508 @ SV366 @ SV1 ) @ ( sK173_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4739]) ).
thf(5061,plain,
! [SV1: $i,SV366: $i] :
( ( ( SV366
= ( sK293_SY508 @ SV366 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4740]) ).
thf(5062,plain,
! [SV1: $i,SV366: $i] :
( ( ( in @ SV366 @ ( sK293_SY508 @ SV366 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4740]) ).
thf(5063,plain,
! [SV1: $i,SV368: $i] :
( ( ( in @ ( sK294_SY509 @ SV368 @ SV1 ) @ ( sK174_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4741]) ).
thf(5064,plain,
! [SV1: $i,SV368: $i] :
( ( ( SV368
= ( sK294_SY509 @ SV368 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4742]) ).
thf(5065,plain,
! [SV1: $i,SV368: $i] :
( ( ( in @ SV368 @ ( sK294_SY509 @ SV368 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4742]) ).
thf(5066,plain,
! [SV1: $i,SV370: $i] :
( ( ( in @ ( sK295_SY510 @ SV370 @ SV1 ) @ ( sK175_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4743]) ).
thf(5067,plain,
! [SV1: $i,SV370: $i] :
( ( ( SV370
= ( sK295_SY510 @ SV370 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4744]) ).
thf(5068,plain,
! [SV1: $i,SV370: $i] :
( ( ( in @ SV370 @ ( sK295_SY510 @ SV370 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4744]) ).
thf(5069,plain,
! [SV306: $i,SV943: $i,SV1: $i] :
( ( ( ! [SY827: $i] :
( ~ ( in @ SY827 @ SV1 )
| ~ ( in @ SV943 @ SY827 )
| ( in @ SV943 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK278_SY439 @ SV306 @ SV1 ) @ ( sK150_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4745]) ).
thf(5070,plain,
! [SV306: $i,SV944: $i,SV1: $i] :
( ( ( ! [SY828: $i] :
( ~ ( in @ SY828 @ SV1 )
| ~ ( in @ SV944 @ SY828 )
| ( in @ SV944 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( SV306
= ( sK278_SY439 @ SV306 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4746]) ).
thf(5071,plain,
! [SV306: $i,SV945: $i,SV1: $i] :
( ( ( ! [SY829: $i] :
( ~ ( in @ SY829 @ SV1 )
| ~ ( in @ SV945 @ SY829 )
| ( in @ SV945 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK278_SY439 @ SV306 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4747]) ).
thf(5072,plain,
! [SV308: $i,SV946: $i,SV1: $i] :
( ( ( ! [SY830: $i] :
( ~ ( in @ SY830 @ SV1 )
| ~ ( in @ SV946 @ SY830 )
| ( in @ SV946 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK279_SY440 @ SV308 @ SV1 ) @ ( sK151_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4748]) ).
thf(5073,plain,
! [SV308: $i,SV947: $i,SV1: $i] :
( ( ( ! [SY831: $i] :
( ~ ( in @ SY831 @ SV1 )
| ~ ( in @ SV947 @ SY831 )
| ( in @ SV947 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( SV308
= ( sK279_SY440 @ SV308 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4749]) ).
thf(5074,plain,
! [SV308: $i,SV948: $i,SV1: $i] :
( ( ( ! [SY832: $i] :
( ~ ( in @ SY832 @ SV1 )
| ~ ( in @ SV948 @ SY832 )
| ( in @ SV948 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK279_SY440 @ SV308 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4750]) ).
thf(5075,plain,
! [SV44: $i,SV1: $i,SV625: $i,SV541: $i] :
( ( ( in @ SV541 @ SV625 )
= $false )
| ( ( in @ SV541 @ SV1 )
= $true )
| ( ( in @ SV625 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK220_SY161 @ SV44 @ SV1 ) @ ( sK60_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4751]) ).
thf(5076,plain,
! [SV44: $i,SV1: $i,SV626: $i,SV542: $i] :
( ( ( in @ SV542 @ SV626 )
= $false )
| ( ( in @ SV542 @ SV1 )
= $true )
| ( ( in @ SV626 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( SV44
= ( sK220_SY161 @ SV44 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4752]) ).
thf(5077,plain,
! [SV44: $i,SV1: $i,SV627: $i,SV543: $i] :
( ( ( in @ SV543 @ SV627 )
= $false )
| ( ( in @ SV543 @ SV1 )
= $true )
| ( ( in @ SV627 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV44 @ ( sK60_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV44 @ ( sK220_SY161 @ SV44 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4753]) ).
thf(5078,plain,
! [SV46: $i,SV1: $i,SV628: $i,SV544: $i] :
( ( ( in @ SV544 @ SV628 )
= $false )
| ( ( in @ SV544 @ SV1 )
= $true )
| ( ( in @ SV628 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK221_SY162 @ SV46 @ SV1 ) @ ( sK61_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4754]) ).
thf(5079,plain,
! [SV46: $i,SV1: $i,SV629: $i,SV545: $i] :
( ( ( in @ SV545 @ SV629 )
= $false )
| ( ( in @ SV545 @ SV1 )
= $true )
| ( ( in @ SV629 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( SV46
= ( sK221_SY162 @ SV46 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4755]) ).
thf(5080,plain,
! [SV46: $i,SV1: $i,SV630: $i,SV546: $i] :
( ( ( in @ SV546 @ SV630 )
= $false )
| ( ( in @ SV546 @ SV1 )
= $true )
| ( ( in @ SV630 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK26_SY7 @ SV1 ) @ ( sK26_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV46 @ ( sK61_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV46 @ ( sK221_SY162 @ SV46 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4756]) ).
thf(5081,plain,
! [SV80: $i,SV1: $i,SV717: $i,SV631: $i] :
( ( ( ~ ( in @ SV631 @ SV717 ) )
= $true )
| ( ( in @ SV631 @ SV1 )
= $true )
| ( ( in @ SV717 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK232_SY215 @ SV80 @ SV1 ) @ ( sK84_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4757]) ).
thf(5082,plain,
! [SV80: $i,SV1: $i,SV718: $i,SV632: $i] :
( ( ( ~ ( in @ SV632 @ SV718 ) )
= $true )
| ( ( in @ SV632 @ SV1 )
= $true )
| ( ( in @ SV718 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( SV80
= ( sK232_SY215 @ SV80 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4758]) ).
thf(5083,plain,
! [SV80: $i,SV1: $i,SV719: $i,SV633: $i] :
( ( ( ~ ( in @ SV633 @ SV719 ) )
= $true )
| ( ( in @ SV633 @ SV1 )
= $true )
| ( ( in @ SV719 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK232_SY215 @ SV80 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4759]) ).
thf(5084,plain,
! [SV82: $i,SV1: $i,SV720: $i,SV634: $i] :
( ( ( ~ ( in @ SV634 @ SV720 ) )
= $true )
| ( ( in @ SV634 @ SV1 )
= $true )
| ( ( in @ SV720 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK233_SY216 @ SV82 @ SV1 ) @ ( sK85_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4760]) ).
thf(5085,plain,
! [SV82: $i,SV1: $i,SV721: $i,SV635: $i] :
( ( ( ~ ( in @ SV635 @ SV721 ) )
= $true )
| ( ( in @ SV635 @ SV1 )
= $true )
| ( ( in @ SV721 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( SV82
= ( sK233_SY216 @ SV82 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4761]) ).
thf(5086,plain,
! [SV82: $i,SV1: $i,SV722: $i,SV636: $i] :
( ( ( ~ ( in @ SV636 @ SV722 ) )
= $true )
| ( ( in @ SV636 @ SV1 )
= $true )
| ( ( in @ SV722 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK233_SY216 @ SV82 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4762]) ).
thf(5087,plain,
! [SV84: $i,SV1: $i,SV723: $i,SV637: $i] :
( ( ( ~ ( in @ SV637 @ SV723 ) )
= $true )
| ( ( in @ SV637 @ SV1 )
= $true )
| ( ( in @ SV723 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK234_SY217 @ SV84 @ SV1 ) @ ( sK86_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4763]) ).
thf(5088,plain,
! [SV84: $i,SV1: $i,SV724: $i,SV638: $i] :
( ( ( ~ ( in @ SV638 @ SV724 ) )
= $true )
| ( ( in @ SV638 @ SV1 )
= $true )
| ( ( in @ SV724 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( SV84
= ( sK234_SY217 @ SV84 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4764]) ).
thf(5089,plain,
! [SV84: $i,SV1: $i,SV725: $i,SV639: $i] :
( ( ( ~ ( in @ SV639 @ SV725 ) )
= $true )
| ( ( in @ SV639 @ SV1 )
= $true )
| ( ( in @ SV725 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK234_SY217 @ SV84 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4765]) ).
thf(5090,plain,
! [SV86: $i,SV1: $i,SV726: $i,SV640: $i] :
( ( ( ~ ( in @ SV640 @ SV726 ) )
= $true )
| ( ( in @ SV640 @ SV1 )
= $true )
| ( ( in @ SV726 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK235_SY218 @ SV86 @ SV1 ) @ ( sK87_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4766]) ).
thf(5091,plain,
! [SV86: $i,SV1: $i,SV727: $i,SV641: $i] :
( ( ( ~ ( in @ SV641 @ SV727 ) )
= $true )
| ( ( in @ SV641 @ SV1 )
= $true )
| ( ( in @ SV727 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( SV86
= ( sK235_SY218 @ SV86 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4767]) ).
thf(5092,plain,
! [SV86: $i,SV1: $i,SV728: $i,SV642: $i] :
( ( ( ~ ( in @ SV642 @ SV728 ) )
= $true )
| ( ( in @ SV642 @ SV1 )
= $true )
| ( ( in @ SV728 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK235_SY218 @ SV86 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4768]) ).
thf(5093,plain,
! [SV52: $i,SV1: $i,SV643: $i,SV547: $i] :
( ( ( in @ SV547 @ SV643 )
= $false )
| ( ( in @ SV547 @ SV1 )
= $true )
| ( ( in @ SV643 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK222_SY167 @ SV52 @ SV1 ) @ ( sK62_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4769]) ).
thf(5094,plain,
! [SV52: $i,SV1: $i,SV644: $i,SV548: $i] :
( ( ( in @ SV548 @ SV644 )
= $false )
| ( ( in @ SV548 @ SV1 )
= $true )
| ( ( in @ SV644 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( SV52
= ( sK222_SY167 @ SV52 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4770]) ).
thf(5095,plain,
! [SV52: $i,SV1: $i,SV645: $i,SV549: $i] :
( ( ( in @ SV549 @ SV645 )
= $false )
| ( ( in @ SV549 @ SV1 )
= $true )
| ( ( in @ SV645 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK62_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV52 @ ( sK222_SY167 @ SV52 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4771]) ).
thf(5096,plain,
! [SV54: $i,SV1: $i,SV646: $i,SV550: $i] :
( ( ( in @ SV550 @ SV646 )
= $false )
| ( ( in @ SV550 @ SV1 )
= $true )
| ( ( in @ SV646 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK223_SY168 @ SV54 @ SV1 ) @ ( sK63_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4772]) ).
thf(5097,plain,
! [SV54: $i,SV1: $i,SV647: $i,SV551: $i] :
( ( ( in @ SV551 @ SV647 )
= $false )
| ( ( in @ SV551 @ SV1 )
= $true )
| ( ( in @ SV647 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( SV54
= ( sK223_SY168 @ SV54 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4773]) ).
thf(5098,plain,
! [SV54: $i,SV1: $i,SV648: $i,SV552: $i] :
( ( ( in @ SV552 @ SV648 )
= $false )
| ( ( in @ SV552 @ SV1 )
= $true )
| ( ( in @ SV648 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK27_SY7 @ SV1 ) @ ( sK27_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK14_SY29 @ SV1 ) @ ( sK10_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK63_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV54 @ ( sK223_SY168 @ SV54 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4774]) ).
thf(5099,plain,
! [SV56: $i,SV1: $i,SV649: $i,SV553: $i] :
( ( ( in @ SV553 @ SV649 )
= $false )
| ( ( in @ SV553 @ SV1 )
= $true )
| ( ( in @ SV649 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK224_SY169 @ SV56 @ SV1 ) @ ( sK64_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4775]) ).
thf(5100,plain,
! [SV56: $i,SV1: $i,SV650: $i,SV554: $i] :
( ( ( in @ SV554 @ SV650 )
= $false )
| ( ( in @ SV554 @ SV1 )
= $true )
| ( ( in @ SV650 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( SV56
= ( sK224_SY169 @ SV56 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4776]) ).
thf(5101,plain,
! [SV56: $i,SV1: $i,SV651: $i,SV555: $i] :
( ( ( in @ SV555 @ SV651 )
= $false )
| ( ( in @ SV555 @ SV1 )
= $true )
| ( ( in @ SV651 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV56 @ ( sK64_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV56 @ ( sK224_SY169 @ SV56 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4777]) ).
thf(5102,plain,
! [SV58: $i,SV1: $i,SV652: $i,SV556: $i] :
( ( ( in @ SV556 @ SV652 )
= $false )
| ( ( in @ SV556 @ SV1 )
= $true )
| ( ( in @ SV652 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK225_SY170 @ SV58 @ SV1 ) @ ( sK65_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4778]) ).
thf(5103,plain,
! [SV58: $i,SV1: $i,SV653: $i,SV557: $i] :
( ( ( in @ SV557 @ SV653 )
= $false )
| ( ( in @ SV557 @ SV1 )
= $true )
| ( ( in @ SV653 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( SV58
= ( sK225_SY170 @ SV58 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4779]) ).
thf(5104,plain,
! [SV58: $i,SV1: $i,SV654: $i,SV558: $i] :
( ( ( in @ SV558 @ SV654 )
= $false )
| ( ( in @ SV558 @ SV1 )
= $true )
| ( ( in @ SV654 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK28_SY7 @ SV1 ) @ ( sK28_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV58 @ ( sK65_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV58 @ ( sK225_SY170 @ SV58 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4780]) ).
thf(5105,plain,
! [SV132: $i,SV729: $i,SV1: $i,SV805: $i] :
( ( ( in @ SV805 @ SV1 )
= $false )
| ( ( ~ ( in @ SV729 @ SV805 )
| ( in @ SV729 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK240_SY285 @ SV132 @ SV1 ) @ ( sK100_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4781]) ).
thf(5106,plain,
! [SV132: $i,SV730: $i,SV1: $i,SV806: $i] :
( ( ( in @ SV806 @ SV1 )
= $false )
| ( ( ~ ( in @ SV730 @ SV806 )
| ( in @ SV730 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( SV132
= ( sK240_SY285 @ SV132 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4782]) ).
thf(5107,plain,
! [SV132: $i,SV731: $i,SV1: $i,SV807: $i] :
( ( ( in @ SV807 @ SV1 )
= $false )
| ( ( ~ ( in @ SV731 @ SV807 )
| ( in @ SV731 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV132 @ ( sK240_SY285 @ SV132 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4783]) ).
thf(5108,plain,
! [SV134: $i,SV732: $i,SV1: $i,SV808: $i] :
( ( ( in @ SV808 @ SV1 )
= $false )
| ( ( ~ ( in @ SV732 @ SV808 )
| ( in @ SV732 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK241_SY286 @ SV134 @ SV1 ) @ ( sK101_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4784]) ).
thf(5109,plain,
! [SV134: $i,SV733: $i,SV1: $i,SV809: $i] :
( ( ( in @ SV809 @ SV1 )
= $false )
| ( ( ~ ( in @ SV733 @ SV809 )
| ( in @ SV733 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( SV134
= ( sK241_SY286 @ SV134 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4785]) ).
thf(5110,plain,
! [SV134: $i,SV734: $i,SV1: $i,SV810: $i] :
( ( ( in @ SV810 @ SV1 )
= $false )
| ( ( ~ ( in @ SV734 @ SV810 )
| ( in @ SV734 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV134 @ ( sK241_SY286 @ SV134 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4786]) ).
thf(5111,plain,
! [SV188: $i,SV811: $i,SV1: $i,SV877: $i] :
( ( ( ~ ( in @ SV877 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV811 @ SV877 )
| ( in @ SV811 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK256_SY331 @ SV188 @ SV1 ) @ ( sK120_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4787]) ).
thf(5112,plain,
! [SV188: $i,SV812: $i,SV1: $i,SV878: $i] :
( ( ( ~ ( in @ SV878 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV812 @ SV878 )
| ( in @ SV812 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( SV188
= ( sK256_SY331 @ SV188 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4788]) ).
thf(5113,plain,
! [SV188: $i,SV813: $i,SV1: $i,SV879: $i] :
( ( ( ~ ( in @ SV879 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV813 @ SV879 )
| ( in @ SV813 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK256_SY331 @ SV188 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4789]) ).
thf(5114,plain,
! [SV190: $i,SV814: $i,SV1: $i,SV880: $i] :
( ( ( ~ ( in @ SV880 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV814 @ SV880 )
| ( in @ SV814 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK257_SY332 @ SV190 @ SV1 ) @ ( sK121_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4790]) ).
thf(5115,plain,
! [SV190: $i,SV815: $i,SV1: $i,SV881: $i] :
( ( ( ~ ( in @ SV881 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV815 @ SV881 )
| ( in @ SV815 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( SV190
= ( sK257_SY332 @ SV190 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4791]) ).
thf(5116,plain,
! [SV190: $i,SV816: $i,SV1: $i,SV882: $i] :
( ( ( ~ ( in @ SV882 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV816 @ SV882 )
| ( in @ SV816 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK257_SY332 @ SV190 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4792]) ).
thf(5117,plain,
! [SV192: $i,SV817: $i,SV1: $i,SV883: $i] :
( ( ( ~ ( in @ SV883 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV817 @ SV883 )
| ( in @ SV817 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK258_SY333 @ SV192 @ SV1 ) @ ( sK122_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4793]) ).
thf(5118,plain,
! [SV192: $i,SV818: $i,SV1: $i,SV884: $i] :
( ( ( ~ ( in @ SV884 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV818 @ SV884 )
| ( in @ SV818 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( SV192
= ( sK258_SY333 @ SV192 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4794]) ).
thf(5119,plain,
! [SV192: $i,SV819: $i,SV1: $i,SV885: $i] :
( ( ( ~ ( in @ SV885 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV819 @ SV885 )
| ( in @ SV819 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK258_SY333 @ SV192 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4795]) ).
thf(5120,plain,
! [SV194: $i,SV820: $i,SV1: $i,SV886: $i] :
( ( ( ~ ( in @ SV886 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV820 @ SV886 )
| ( in @ SV820 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK259_SY334 @ SV194 @ SV1 ) @ ( sK123_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4796]) ).
thf(5121,plain,
! [SV194: $i,SV821: $i,SV1: $i,SV887: $i] :
( ( ( ~ ( in @ SV887 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV821 @ SV887 )
| ( in @ SV821 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( SV194
= ( sK259_SY334 @ SV194 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4797]) ).
thf(5122,plain,
! [SV194: $i,SV822: $i,SV1: $i,SV888: $i] :
( ( ( ~ ( in @ SV888 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV822 @ SV888 )
| ( in @ SV822 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK259_SY334 @ SV194 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4798]) ).
thf(5123,plain,
! [SV140: $i,SV735: $i,SV1: $i,SV823: $i] :
( ( ( in @ SV823 @ SV1 )
= $false )
| ( ( ~ ( in @ SV735 @ SV823 )
| ( in @ SV735 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK242_SY291 @ SV140 @ SV1 ) @ ( sK102_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4799]) ).
thf(5124,plain,
! [SV140: $i,SV736: $i,SV1: $i,SV824: $i] :
( ( ( in @ SV824 @ SV1 )
= $false )
| ( ( ~ ( in @ SV736 @ SV824 )
| ( in @ SV736 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( SV140
= ( sK242_SY291 @ SV140 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4800]) ).
thf(5125,plain,
! [SV140: $i,SV737: $i,SV1: $i,SV825: $i] :
( ( ( in @ SV825 @ SV1 )
= $false )
| ( ( ~ ( in @ SV737 @ SV825 )
| ( in @ SV737 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK242_SY291 @ SV140 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4801]) ).
thf(5126,plain,
! [SV142: $i,SV738: $i,SV1: $i,SV826: $i] :
( ( ( in @ SV826 @ SV1 )
= $false )
| ( ( ~ ( in @ SV738 @ SV826 )
| ( in @ SV738 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK243_SY292 @ SV142 @ SV1 ) @ ( sK103_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4802]) ).
thf(5127,plain,
! [SV142: $i,SV739: $i,SV1: $i,SV827: $i] :
( ( ( in @ SV827 @ SV1 )
= $false )
| ( ( ~ ( in @ SV739 @ SV827 )
| ( in @ SV739 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( SV142
= ( sK243_SY292 @ SV142 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4803]) ).
thf(5128,plain,
! [SV142: $i,SV740: $i,SV1: $i,SV828: $i] :
( ( ( in @ SV828 @ SV1 )
= $false )
| ( ( ~ ( in @ SV740 @ SV828 )
| ( in @ SV740 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK243_SY292 @ SV142 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4804]) ).
thf(5129,plain,
! [SV144: $i,SV741: $i,SV1: $i,SV829: $i] :
( ( ( in @ SV829 @ SV1 )
= $false )
| ( ( ~ ( in @ SV741 @ SV829 )
| ( in @ SV741 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK244_SY293 @ SV144 @ SV1 ) @ ( sK104_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4805]) ).
thf(5130,plain,
! [SV144: $i,SV742: $i,SV1: $i,SV830: $i] :
( ( ( in @ SV830 @ SV1 )
= $false )
| ( ( ~ ( in @ SV742 @ SV830 )
| ( in @ SV742 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( SV144
= ( sK244_SY293 @ SV144 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4806]) ).
thf(5131,plain,
! [SV144: $i,SV743: $i,SV1: $i,SV831: $i] :
( ( ( in @ SV831 @ SV1 )
= $false )
| ( ( ~ ( in @ SV743 @ SV831 )
| ( in @ SV743 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV144 @ ( sK244_SY293 @ SV144 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4807]) ).
thf(5132,plain,
! [SV146: $i,SV744: $i,SV1: $i,SV832: $i] :
( ( ( in @ SV832 @ SV1 )
= $false )
| ( ( ~ ( in @ SV744 @ SV832 )
| ( in @ SV744 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK245_SY294 @ SV146 @ SV1 ) @ ( sK105_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4808]) ).
thf(5133,plain,
! [SV146: $i,SV745: $i,SV1: $i,SV833: $i] :
( ( ( in @ SV833 @ SV1 )
= $false )
| ( ( ~ ( in @ SV745 @ SV833 )
| ( in @ SV745 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( SV146
= ( sK245_SY294 @ SV146 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4809]) ).
thf(5134,plain,
! [SV146: $i,SV746: $i,SV1: $i,SV834: $i] :
( ( ( in @ SV834 @ SV1 )
= $false )
| ( ( ~ ( in @ SV746 @ SV834 )
| ( in @ SV746 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV146 @ ( sK245_SY294 @ SV146 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4810]) ).
thf(5135,plain,
! [SV248: $i,SV889: $i,SV1: $i,SV949: $i] :
( ( ( ~ ( in @ SV949 @ SV1 )
| ~ ( in @ SV889 @ SV949 )
| ( in @ SV889 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK264_SY373 @ SV248 @ SV1 ) @ ( sK128_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4811]) ).
thf(5136,plain,
! [SV248: $i,SV890: $i,SV1: $i,SV950: $i] :
( ( ( ~ ( in @ SV950 @ SV1 )
| ~ ( in @ SV890 @ SV950 )
| ( in @ SV890 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( SV248
= ( sK264_SY373 @ SV248 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4812]) ).
thf(5137,plain,
! [SV248: $i,SV891: $i,SV1: $i,SV951: $i] :
( ( ( ~ ( in @ SV951 @ SV1 )
| ~ ( in @ SV891 @ SV951 )
| ( in @ SV891 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV248 @ ( sK264_SY373 @ SV248 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4813]) ).
thf(5138,plain,
! [SV250: $i,SV892: $i,SV1: $i,SV952: $i] :
( ( ( ~ ( in @ SV952 @ SV1 )
| ~ ( in @ SV892 @ SV952 )
| ( in @ SV892 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK265_SY374 @ SV250 @ SV1 ) @ ( sK129_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4814]) ).
thf(5139,plain,
! [SV250: $i,SV893: $i,SV1: $i,SV953: $i] :
( ( ( ~ ( in @ SV953 @ SV1 )
| ~ ( in @ SV893 @ SV953 )
| ( in @ SV893 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( SV250
= ( sK265_SY374 @ SV250 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4815]) ).
thf(5140,plain,
! [SV250: $i,SV894: $i,SV1: $i,SV954: $i] :
( ( ( ~ ( in @ SV954 @ SV1 )
| ~ ( in @ SV894 @ SV954 )
| ( in @ SV894 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV250 @ ( sK265_SY374 @ SV250 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4816]) ).
thf(5141,plain,
! [SV316: $i,SV955: $i,SV1: $i] :
( ( ( ! [SY833: $i] :
( ~ ( in @ SY833 @ SV1 )
| ~ ( in @ SV955 @ SY833 )
| ( in @ SV955 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK280_SY443 @ SV316 @ SV1 ) @ ( sK152_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4817]) ).
thf(5142,plain,
! [SV316: $i,SV956: $i,SV1: $i] :
( ( ( ! [SY834: $i] :
( ~ ( in @ SY834 @ SV1 )
| ~ ( in @ SV956 @ SY834 )
| ( in @ SV956 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( SV316
= ( sK280_SY443 @ SV316 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4818]) ).
thf(5143,plain,
! [SV316: $i,SV957: $i,SV1: $i] :
( ( ( ! [SY835: $i] :
( ~ ( in @ SY835 @ SV1 )
| ~ ( in @ SV957 @ SY835 )
| ( in @ SV957 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK280_SY443 @ SV316 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4819]) ).
thf(5144,plain,
! [SV318: $i,SV958: $i,SV1: $i] :
( ( ( ! [SY836: $i] :
( ~ ( in @ SY836 @ SV1 )
| ~ ( in @ SV958 @ SY836 )
| ( in @ SV958 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK281_SY444 @ SV318 @ SV1 ) @ ( sK153_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4820]) ).
thf(5145,plain,
! [SV318: $i,SV959: $i,SV1: $i] :
( ( ( ! [SY837: $i] :
( ~ ( in @ SY837 @ SV1 )
| ~ ( in @ SV959 @ SY837 )
| ( in @ SV959 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( SV318
= ( sK281_SY444 @ SV318 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4821]) ).
thf(5146,plain,
! [SV318: $i,SV960: $i,SV1: $i] :
( ( ( ! [SY838: $i] :
( ~ ( in @ SY838 @ SV1 )
| ~ ( in @ SV960 @ SY838 )
| ( in @ SV960 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK281_SY444 @ SV318 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4822]) ).
thf(5147,plain,
! [SV320: $i,SV961: $i,SV1: $i] :
( ( ( ! [SY839: $i] :
( ~ ( in @ SY839 @ SV1 )
| ~ ( in @ SV961 @ SY839 )
| ( in @ SV961 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK282_SY445 @ SV320 @ SV1 ) @ ( sK154_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4823]) ).
thf(5148,plain,
! [SV320: $i,SV962: $i,SV1: $i] :
( ( ( ! [SY840: $i] :
( ~ ( in @ SY840 @ SV1 )
| ~ ( in @ SV962 @ SY840 )
| ( in @ SV962 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( SV320
= ( sK282_SY445 @ SV320 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4824]) ).
thf(5149,plain,
! [SV320: $i,SV963: $i,SV1: $i] :
( ( ( ! [SY841: $i] :
( ~ ( in @ SY841 @ SV1 )
| ~ ( in @ SV963 @ SY841 )
| ( in @ SV963 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK282_SY445 @ SV320 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4825]) ).
thf(5150,plain,
! [SV322: $i,SV964: $i,SV1: $i] :
( ( ( ! [SY842: $i] :
( ~ ( in @ SY842 @ SV1 )
| ~ ( in @ SV964 @ SY842 )
| ( in @ SV964 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK283_SY446 @ SV322 @ SV1 ) @ ( sK155_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4826]) ).
thf(5151,plain,
! [SV322: $i,SV965: $i,SV1: $i] :
( ( ( ! [SY843: $i] :
( ~ ( in @ SY843 @ SV1 )
| ~ ( in @ SV965 @ SY843 )
| ( in @ SV965 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( SV322
= ( sK283_SY446 @ SV322 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4827]) ).
thf(5152,plain,
! [SV322: $i,SV966: $i,SV1: $i] :
( ( ( ! [SY844: $i] :
( ~ ( in @ SY844 @ SV1 )
| ~ ( in @ SV966 @ SY844 )
| ( in @ SV966 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK283_SY446 @ SV322 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4828]) ).
thf(5153,plain,
! [SV256: $i,SV895: $i,SV1: $i,SV967: $i] :
( ( ( ~ ( in @ SV967 @ SV1 )
| ~ ( in @ SV895 @ SV967 )
| ( in @ SV895 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK266_SY379 @ SV256 @ SV1 ) @ ( sK130_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4829]) ).
thf(5154,plain,
! [SV256: $i,SV896: $i,SV1: $i,SV968: $i] :
( ( ( ~ ( in @ SV968 @ SV1 )
| ~ ( in @ SV896 @ SV968 )
| ( in @ SV896 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( SV256
= ( sK266_SY379 @ SV256 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4830]) ).
thf(5155,plain,
! [SV256: $i,SV897: $i,SV1: $i,SV969: $i] :
( ( ( ~ ( in @ SV969 @ SV1 )
| ~ ( in @ SV897 @ SV969 )
| ( in @ SV897 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK266_SY379 @ SV256 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4831]) ).
thf(5156,plain,
! [SV258: $i,SV898: $i,SV1: $i,SV970: $i] :
( ( ( ~ ( in @ SV970 @ SV1 )
| ~ ( in @ SV898 @ SV970 )
| ( in @ SV898 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK267_SY380 @ SV258 @ SV1 ) @ ( sK131_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4832]) ).
thf(5157,plain,
! [SV258: $i,SV899: $i,SV1: $i,SV971: $i] :
( ( ( ~ ( in @ SV971 @ SV1 )
| ~ ( in @ SV899 @ SV971 )
| ( in @ SV899 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( SV258
= ( sK267_SY380 @ SV258 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4833]) ).
thf(5158,plain,
! [SV258: $i,SV900: $i,SV1: $i,SV972: $i] :
( ( ( ~ ( in @ SV972 @ SV1 )
| ~ ( in @ SV900 @ SV972 )
| ( in @ SV900 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK267_SY380 @ SV258 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4834]) ).
thf(5159,plain,
! [SV1: $i,SV382: $i] :
( ( ( in @ ( sK296_SY517 @ SV382 @ SV1 ) @ ( sK176_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4835]) ).
thf(5160,plain,
! [SV1: $i,SV382: $i] :
( ( ( SV382
= ( sK296_SY517 @ SV382 @ SV1 ) )
= $false )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4836]) ).
thf(5161,plain,
! [SV1: $i,SV382: $i] :
( ( ( in @ SV382 @ ( sK296_SY517 @ SV382 @ SV1 ) )
= $false )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4836]) ).
thf(5162,plain,
! [SV1: $i,SV384: $i] :
( ( ( in @ ( sK297_SY518 @ SV384 @ SV1 ) @ ( sK177_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4837]) ).
thf(5163,plain,
! [SV1: $i,SV384: $i] :
( ( ( SV384
= ( sK297_SY518 @ SV384 @ SV1 ) )
= $false )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4838]) ).
thf(5164,plain,
! [SV1: $i,SV384: $i] :
( ( ( in @ SV384 @ ( sK297_SY518 @ SV384 @ SV1 ) )
= $false )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4838]) ).
thf(5165,plain,
! [SV1: $i,SV655: $i,SV559: $i] :
( ( ( in @ SV559 @ SV655 )
= $false )
| ( ( in @ SV559 @ SV1 )
= $true )
| ( ( in @ SV655 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK186_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4839]) ).
thf(5166,plain,
! [SV1: $i,SV482: $i] :
( ( ( ~ ( in @ ( sK304_SY573 @ SV482 @ SV1 ) @ ( sK186_SY8 @ SV1 ) )
| ( SV482
= ( sK304_SY573 @ SV482 @ SV1 ) )
| ( in @ SV482 @ ( sK304_SY573 @ SV482 @ SV1 ) ) )
= $false )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4840]) ).
thf(5167,plain,
! [SV1: $i,SV656: $i,SV560: $i] :
( ( ( in @ SV560 @ SV656 )
= $false )
| ( ( in @ SV560 @ SV1 )
= $true )
| ( ( in @ SV656 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK187_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4841]) ).
thf(5168,plain,
! [SV1: $i,SV484: $i] :
( ( ( ~ ( in @ ( sK305_SY574 @ SV484 @ SV1 ) @ ( sK187_SY8 @ SV1 ) )
| ( SV484
= ( sK305_SY574 @ SV484 @ SV1 ) )
| ( in @ SV484 @ ( sK305_SY574 @ SV484 @ SV1 ) ) )
= $false )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4842]) ).
thf(5169,plain,
! [SV1: $i,SV747: $i,SV657: $i] :
( ( ( ~ ( in @ SV657 @ SV747 ) )
= $true )
| ( ( in @ SV657 @ SV1 )
= $true )
| ( ( in @ SV747 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK204_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4844]) ).
thf(5170,plain,
! [SV562: $i,SV1: $i] :
( ( ( ! [SY625: $i] :
( ~ ( in @ SY625 @ ( sK204_SY8 @ SV1 ) )
| ( SV562 = SY625 )
| ( in @ SV562 @ SY625 ) ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4845]) ).
thf(5171,plain,
! [SV1: $i,SV748: $i,SV658: $i] :
( ( ( ~ ( in @ SV658 @ SV748 ) )
= $true )
| ( ( in @ SV658 @ SV1 )
= $true )
| ( ( in @ SV748 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK205_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4847]) ).
thf(5172,plain,
! [SV564: $i,SV1: $i] :
( ( ( ! [SY626: $i] :
( ~ ( in @ SY626 @ ( sK205_SY8 @ SV1 ) )
| ( SV564 = SY626 )
| ( in @ SV564 @ SY626 ) ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4848]) ).
thf(5173,plain,
! [SV1: $i,SV749: $i,SV659: $i] :
( ( ( ~ ( in @ SV659 @ SV749 ) )
= $true )
| ( ( in @ SV659 @ SV1 )
= $true )
| ( ( in @ SV749 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK206_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4850]) ).
thf(5174,plain,
! [SV566: $i,SV1: $i] :
( ( ( ! [SY627: $i] :
( ~ ( in @ SY627 @ ( sK206_SY8 @ SV1 ) )
| ( SV566 = SY627 )
| ( in @ SV566 @ SY627 ) ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4851]) ).
thf(5175,plain,
! [SV1: $i,SV750: $i,SV660: $i] :
( ( ( ~ ( in @ SV660 @ SV750 ) )
= $true )
| ( ( in @ SV660 @ SV1 )
= $true )
| ( ( in @ SV750 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK207_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4853]) ).
thf(5176,plain,
! [SV568: $i,SV1: $i] :
( ( ( ! [SY628: $i] :
( ~ ( in @ SY628 @ ( sK207_SY8 @ SV1 ) )
| ( SV568 = SY628 )
| ( in @ SV568 @ SY628 ) ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4854]) ).
thf(5177,plain,
! [SV1: $i,SV661: $i,SV569: $i] :
( ( ( in @ SV569 @ SV661 )
= $false )
| ( ( in @ SV569 @ SV1 )
= $true )
| ( ( in @ SV661 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ( sK188_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4855]) ).
thf(5178,plain,
! [SV1: $i,SV490: $i] :
( ( ( ~ ( in @ ( sK306_SY579 @ SV490 @ SV1 ) @ ( sK188_SY8 @ SV1 ) )
| ( SV490
= ( sK306_SY579 @ SV490 @ SV1 ) )
| ( in @ SV490 @ ( sK306_SY579 @ SV490 @ SV1 ) ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4856]) ).
thf(5179,plain,
! [SV1: $i,SV662: $i,SV570: $i] :
( ( ( in @ SV570 @ SV662 )
= $false )
| ( ( in @ SV570 @ SV1 )
= $true )
| ( ( in @ SV662 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( ( sK189_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4857]) ).
thf(5180,plain,
! [SV1: $i,SV492: $i] :
( ( ( ~ ( in @ ( sK307_SY580 @ SV492 @ SV1 ) @ ( sK189_SY8 @ SV1 ) )
| ( SV492
= ( sK307_SY580 @ SV492 @ SV1 ) )
| ( in @ SV492 @ ( sK307_SY580 @ SV492 @ SV1 ) ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4858]) ).
thf(5181,plain,
! [SV1: $i,SV386: $i] :
( ( ( in @ ( sK298_SY519 @ SV386 @ SV1 ) @ ( sK178_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4859]) ).
thf(5182,plain,
! [SV1: $i,SV386: $i] :
( ( ( SV386
= ( sK298_SY519 @ SV386 @ SV1 ) )
= $false )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4860]) ).
thf(5183,plain,
! [SV1: $i,SV386: $i] :
( ( ( in @ SV386 @ ( sK298_SY519 @ SV386 @ SV1 ) )
= $false )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4860]) ).
thf(5184,plain,
! [SV1: $i,SV388: $i] :
( ( ( in @ ( sK299_SY520 @ SV388 @ SV1 ) @ ( sK179_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4861]) ).
thf(5185,plain,
! [SV1: $i,SV388: $i] :
( ( ( SV388
= ( sK299_SY520 @ SV388 @ SV1 ) )
= $false )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4862]) ).
thf(5186,plain,
! [SV1: $i,SV388: $i] :
( ( ( in @ SV388 @ ( sK299_SY520 @ SV388 @ SV1 ) )
= $false )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4862]) ).
thf(5187,plain,
! [SV1: $i,SV663: $i,SV571: $i] :
( ( ( in @ SV571 @ SV663 )
= $false )
| ( ( in @ SV571 @ SV1 )
= $true )
| ( ( in @ SV663 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK190_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4863]) ).
thf(5188,plain,
! [SV1: $i,SV496: $i] :
( ( ( ~ ( in @ ( sK308_SY581 @ SV496 @ SV1 ) @ ( sK190_SY8 @ SV1 ) )
| ( SV496
= ( sK308_SY581 @ SV496 @ SV1 ) )
| ( in @ SV496 @ ( sK308_SY581 @ SV496 @ SV1 ) ) )
= $false )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4864]) ).
thf(5189,plain,
! [SV1: $i,SV664: $i,SV572: $i] :
( ( ( in @ SV572 @ SV664 )
= $false )
| ( ( in @ SV572 @ SV1 )
= $true )
| ( ( in @ SV664 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK191_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4865]) ).
thf(5190,plain,
! [SV1: $i,SV498: $i] :
( ( ( ~ ( in @ ( sK309_SY582 @ SV498 @ SV1 ) @ ( sK191_SY8 @ SV1 ) )
| ( SV498
= ( sK309_SY582 @ SV498 @ SV1 ) )
| ( in @ SV498 @ ( sK309_SY582 @ SV498 @ SV1 ) ) )
= $false )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4866]) ).
thf(5191,plain,
! [SV1: $i,SV751: $i,SV665: $i] :
( ( ( ~ ( in @ SV665 @ SV751 ) )
= $true )
| ( ( in @ SV665 @ SV1 )
= $true )
| ( ( in @ SV751 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK208_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4868]) ).
thf(5192,plain,
! [SV574: $i,SV1: $i] :
( ( ( ! [SY633: $i] :
( ~ ( in @ SY633 @ ( sK208_SY8 @ SV1 ) )
| ( SV574 = SY633 )
| ( in @ SV574 @ SY633 ) ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4869]) ).
thf(5193,plain,
! [SV1: $i,SV752: $i,SV666: $i] :
( ( ( ~ ( in @ SV666 @ SV752 ) )
= $true )
| ( ( in @ SV666 @ SV1 )
= $true )
| ( ( in @ SV752 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK209_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4871]) ).
thf(5194,plain,
! [SV576: $i,SV1: $i] :
( ( ( ! [SY634: $i] :
( ~ ( in @ SY634 @ ( sK209_SY8 @ SV1 ) )
| ( SV576 = SY634 )
| ( in @ SV576 @ SY634 ) ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4872]) ).
thf(5195,plain,
! [SV1: $i,SV753: $i,SV667: $i] :
( ( ( ~ ( in @ SV667 @ SV753 ) )
= $true )
| ( ( in @ SV667 @ SV1 )
= $true )
| ( ( in @ SV753 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK210_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4874]) ).
thf(5196,plain,
! [SV578: $i,SV1: $i] :
( ( ( ! [SY635: $i] :
( ~ ( in @ SY635 @ ( sK210_SY8 @ SV1 ) )
| ( SV578 = SY635 )
| ( in @ SV578 @ SY635 ) ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4875]) ).
thf(5197,plain,
! [SV1: $i,SV754: $i,SV668: $i] :
( ( ( ~ ( in @ SV668 @ SV754 ) )
= $true )
| ( ( in @ SV668 @ SV1 )
= $true )
| ( ( in @ SV754 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK211_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4877]) ).
thf(5198,plain,
! [SV580: $i,SV1: $i] :
( ( ( ! [SY636: $i] :
( ~ ( in @ SY636 @ ( sK211_SY8 @ SV1 ) )
| ( SV580 = SY636 )
| ( in @ SV580 @ SY636 ) ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4878]) ).
thf(5199,plain,
! [SV1: $i,SV669: $i,SV581: $i] :
( ( ( in @ SV581 @ SV669 )
= $false )
| ( ( in @ SV581 @ SV1 )
= $true )
| ( ( in @ SV669 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ( sK192_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4879]) ).
thf(5200,plain,
! [SV1: $i,SV504: $i] :
( ( ( ~ ( in @ ( sK310_SY587 @ SV504 @ SV1 ) @ ( sK192_SY8 @ SV1 ) )
| ( SV504
= ( sK310_SY587 @ SV504 @ SV1 ) )
| ( in @ SV504 @ ( sK310_SY587 @ SV504 @ SV1 ) ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4880]) ).
thf(5201,plain,
! [SV1: $i,SV670: $i,SV582: $i] :
( ( ( in @ SV582 @ SV670 )
= $false )
| ( ( in @ SV582 @ SV1 )
= $true )
| ( ( in @ SV670 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( ( sK193_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4881]) ).
thf(5202,plain,
! [SV1: $i,SV506: $i] :
( ( ( ~ ( in @ ( sK311_SY588 @ SV506 @ SV1 ) @ ( sK193_SY8 @ SV1 ) )
| ( SV506
= ( sK311_SY588 @ SV506 @ SV1 ) )
| ( in @ SV506 @ ( sK311_SY588 @ SV506 @ SV1 ) ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4882]) ).
thf(5203,plain,
! [SV148: $i,SV755: $i,SV1: $i,SV835: $i] :
( ( ( in @ SV835 @ SV1 )
= $false )
| ( ( ~ ( in @ SV755 @ SV835 )
| ( in @ SV755 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK246_SY303 @ SV148 @ SV1 ) @ ( sK108_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4883]) ).
thf(5204,plain,
! [SV148: $i,SV756: $i,SV1: $i,SV836: $i] :
( ( ( in @ SV836 @ SV1 )
= $false )
| ( ( ~ ( in @ SV756 @ SV836 )
| ( in @ SV756 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( SV148
= ( sK246_SY303 @ SV148 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4884]) ).
thf(5205,plain,
! [SV148: $i,SV757: $i,SV1: $i,SV837: $i] :
( ( ( in @ SV837 @ SV1 )
= $false )
| ( ( ~ ( in @ SV757 @ SV837 )
| ( in @ SV757 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV148 @ ( sK246_SY303 @ SV148 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4885]) ).
thf(5206,plain,
! [SV150: $i,SV758: $i,SV1: $i,SV838: $i] :
( ( ( in @ SV838 @ SV1 )
= $false )
| ( ( ~ ( in @ SV758 @ SV838 )
| ( in @ SV758 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK247_SY304 @ SV150 @ SV1 ) @ ( sK109_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4886]) ).
thf(5207,plain,
! [SV150: $i,SV759: $i,SV1: $i,SV839: $i] :
( ( ( in @ SV839 @ SV1 )
= $false )
| ( ( ~ ( in @ SV759 @ SV839 )
| ( in @ SV759 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( SV150
= ( sK247_SY304 @ SV150 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4887]) ).
thf(5208,plain,
! [SV150: $i,SV760: $i,SV1: $i,SV840: $i] :
( ( ( in @ SV840 @ SV1 )
= $false )
| ( ( ~ ( in @ SV760 @ SV840 )
| ( in @ SV760 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV150 @ ( sK247_SY304 @ SV150 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4888]) ).
thf(5209,plain,
! [SV262: $i,SV901: $i,SV1: $i,SV973: $i] :
( ( ( ~ ( in @ SV973 @ SV1 )
| ~ ( in @ SV901 @ SV973 )
| ( in @ SV901 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK268_SY397 @ SV262 @ SV1 ) @ ( sK136_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4889]) ).
thf(5210,plain,
! [SV262: $i,SV902: $i,SV1: $i,SV974: $i] :
( ( ( ~ ( in @ SV974 @ SV1 )
| ~ ( in @ SV902 @ SV974 )
| ( in @ SV902 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( SV262
= ( sK268_SY397 @ SV262 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4890]) ).
thf(5211,plain,
! [SV262: $i,SV903: $i,SV1: $i,SV975: $i] :
( ( ( ~ ( in @ SV975 @ SV1 )
| ~ ( in @ SV903 @ SV975 )
| ( in @ SV903 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV262 @ ( sK268_SY397 @ SV262 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4891]) ).
thf(5212,plain,
! [SV264: $i,SV904: $i,SV1: $i,SV976: $i] :
( ( ( ~ ( in @ SV976 @ SV1 )
| ~ ( in @ SV904 @ SV976 )
| ( in @ SV904 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK269_SY398 @ SV264 @ SV1 ) @ ( sK137_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4892]) ).
thf(5213,plain,
! [SV264: $i,SV905: $i,SV1: $i,SV977: $i] :
( ( ( ~ ( in @ SV977 @ SV1 )
| ~ ( in @ SV905 @ SV977 )
| ( in @ SV905 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( SV264
= ( sK269_SY398 @ SV264 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4893]) ).
thf(5214,plain,
! [SV264: $i,SV906: $i,SV1: $i,SV978: $i] :
( ( ( ~ ( in @ SV978 @ SV1 )
| ~ ( in @ SV906 @ SV978 )
| ( in @ SV906 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV264 @ ( sK269_SY398 @ SV264 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4894]) ).
thf(5215,plain,
! [SV332: $i,SV979: $i,SV1: $i] :
( ( ( ! [SY845: $i] :
( ~ ( in @ SY845 @ SV1 )
| ~ ( in @ SV979 @ SY845 )
| ( in @ SV979 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK284_SY471 @ SV332 @ SV1 ) @ ( sK160_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4895]) ).
thf(5216,plain,
! [SV332: $i,SV980: $i,SV1: $i] :
( ( ( ! [SY846: $i] :
( ~ ( in @ SY846 @ SV1 )
| ~ ( in @ SV980 @ SY846 )
| ( in @ SV980 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( SV332
= ( sK284_SY471 @ SV332 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4896]) ).
thf(5217,plain,
! [SV332: $i,SV981: $i,SV1: $i] :
( ( ( ! [SY847: $i] :
( ~ ( in @ SY847 @ SV1 )
| ~ ( in @ SV981 @ SY847 )
| ( in @ SV981 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK284_SY471 @ SV332 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4897]) ).
thf(5218,plain,
! [SV334: $i,SV982: $i,SV1: $i] :
( ( ( ! [SY848: $i] :
( ~ ( in @ SY848 @ SV1 )
| ~ ( in @ SV982 @ SY848 )
| ( in @ SV982 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK285_SY472 @ SV334 @ SV1 ) @ ( sK161_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4898]) ).
thf(5219,plain,
! [SV334: $i,SV983: $i,SV1: $i] :
( ( ( ! [SY849: $i] :
( ~ ( in @ SY849 @ SV1 )
| ~ ( in @ SV983 @ SY849 )
| ( in @ SV983 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( SV334
= ( sK285_SY472 @ SV334 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4899]) ).
thf(5220,plain,
! [SV334: $i,SV984: $i,SV1: $i] :
( ( ( ! [SY850: $i] :
( ~ ( in @ SY850 @ SV1 )
| ~ ( in @ SV984 @ SY850 )
| ( in @ SV984 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK285_SY472 @ SV334 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4900]) ).
thf(5221,plain,
! [SV336: $i,SV985: $i,SV1: $i] :
( ( ( ! [SY851: $i] :
( ~ ( in @ SY851 @ SV1 )
| ~ ( in @ SV985 @ SY851 )
| ( in @ SV985 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK286_SY473 @ SV336 @ SV1 ) @ ( sK162_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4901]) ).
thf(5222,plain,
! [SV336: $i,SV986: $i,SV1: $i] :
( ( ( ! [SY852: $i] :
( ~ ( in @ SY852 @ SV1 )
| ~ ( in @ SV986 @ SY852 )
| ( in @ SV986 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( SV336
= ( sK286_SY473 @ SV336 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4902]) ).
thf(5223,plain,
! [SV336: $i,SV987: $i,SV1: $i] :
( ( ( ! [SY853: $i] :
( ~ ( in @ SY853 @ SV1 )
| ~ ( in @ SV987 @ SY853 )
| ( in @ SV987 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK286_SY473 @ SV336 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4903]) ).
thf(5224,plain,
! [SV338: $i,SV988: $i,SV1: $i] :
( ( ( ! [SY854: $i] :
( ~ ( in @ SY854 @ SV1 )
| ~ ( in @ SV988 @ SY854 )
| ( in @ SV988 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK287_SY474 @ SV338 @ SV1 ) @ ( sK163_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4904]) ).
thf(5225,plain,
! [SV338: $i,SV989: $i,SV1: $i] :
( ( ( ! [SY855: $i] :
( ~ ( in @ SY855 @ SV1 )
| ~ ( in @ SV989 @ SY855 )
| ( in @ SV989 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( SV338
= ( sK287_SY474 @ SV338 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4905]) ).
thf(5226,plain,
! [SV338: $i,SV990: $i,SV1: $i] :
( ( ( ! [SY856: $i] :
( ~ ( in @ SY856 @ SV1 )
| ~ ( in @ SV990 @ SY856 )
| ( in @ SV990 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK287_SY474 @ SV338 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4906]) ).
thf(5227,plain,
! [SV270: $i,SV907: $i,SV1: $i,SV991: $i] :
( ( ( ~ ( in @ SV991 @ SV1 )
| ~ ( in @ SV907 @ SV991 )
| ( in @ SV907 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK270_SY403 @ SV270 @ SV1 ) @ ( sK138_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4907]) ).
thf(5228,plain,
! [SV270: $i,SV908: $i,SV1: $i,SV992: $i] :
( ( ( ~ ( in @ SV992 @ SV1 )
| ~ ( in @ SV908 @ SV992 )
| ( in @ SV908 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( SV270
= ( sK270_SY403 @ SV270 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4908]) ).
thf(5229,plain,
! [SV270: $i,SV909: $i,SV1: $i,SV993: $i] :
( ( ( ~ ( in @ SV993 @ SV1 )
| ~ ( in @ SV909 @ SV993 )
| ( in @ SV909 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK270_SY403 @ SV270 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4909]) ).
thf(5230,plain,
! [SV272: $i,SV910: $i,SV1: $i,SV994: $i] :
( ( ( ~ ( in @ SV994 @ SV1 )
| ~ ( in @ SV910 @ SV994 )
| ( in @ SV910 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK271_SY404 @ SV272 @ SV1 ) @ ( sK139_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4910]) ).
thf(5231,plain,
! [SV272: $i,SV911: $i,SV1: $i,SV995: $i] :
( ( ( ~ ( in @ SV995 @ SV1 )
| ~ ( in @ SV911 @ SV995 )
| ( in @ SV911 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( SV272
= ( sK271_SY404 @ SV272 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4911]) ).
thf(5232,plain,
! [SV272: $i,SV912: $i,SV1: $i,SV996: $i] :
( ( ( ~ ( in @ SV996 @ SV1 )
| ~ ( in @ SV912 @ SV996 )
| ( in @ SV912 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK271_SY404 @ SV272 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4912]) ).
thf(5233,plain,
! [SV62: $i,SV1: $i,SV671: $i,SV583: $i] :
( ( ( in @ SV583 @ SV671 )
= $false )
| ( ( in @ SV583 @ SV1 )
= $true )
| ( ( in @ SV671 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK226_SY187 @ SV62 @ SV1 ) @ ( sK72_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4913]) ).
thf(5234,plain,
! [SV62: $i,SV1: $i,SV672: $i,SV584: $i] :
( ( ( in @ SV584 @ SV672 )
= $false )
| ( ( in @ SV584 @ SV1 )
= $true )
| ( ( in @ SV672 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( SV62
= ( sK226_SY187 @ SV62 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4914]) ).
thf(5235,plain,
! [SV62: $i,SV1: $i,SV673: $i,SV585: $i] :
( ( ( in @ SV585 @ SV673 )
= $false )
| ( ( in @ SV585 @ SV1 )
= $true )
| ( ( in @ SV673 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV62 @ ( sK72_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV62 @ ( sK226_SY187 @ SV62 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4915]) ).
thf(5236,plain,
! [SV64: $i,SV1: $i,SV674: $i,SV586: $i] :
( ( ( in @ SV586 @ SV674 )
= $false )
| ( ( in @ SV586 @ SV1 )
= $true )
| ( ( in @ SV674 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK227_SY188 @ SV64 @ SV1 ) @ ( sK73_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4916]) ).
thf(5237,plain,
! [SV64: $i,SV1: $i,SV675: $i,SV587: $i] :
( ( ( in @ SV587 @ SV675 )
= $false )
| ( ( in @ SV587 @ SV1 )
= $true )
| ( ( in @ SV675 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( SV64
= ( sK227_SY188 @ SV64 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4917]) ).
thf(5238,plain,
! [SV64: $i,SV1: $i,SV676: $i,SV588: $i] :
( ( ( in @ SV588 @ SV676 )
= $false )
| ( ( in @ SV588 @ SV1 )
= $true )
| ( ( in @ SV676 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK31_SY7 @ SV1 ) @ ( sK31_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV64 @ ( sK73_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV64 @ ( sK227_SY188 @ SV64 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4918]) ).
thf(5239,plain,
! [SV102: $i,SV1: $i,SV761: $i,SV677: $i] :
( ( ( ~ ( in @ SV677 @ SV761 ) )
= $true )
| ( ( in @ SV677 @ SV1 )
= $true )
| ( ( in @ SV761 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK236_SY249 @ SV102 @ SV1 ) @ ( sK92_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4919]) ).
thf(5240,plain,
! [SV102: $i,SV1: $i,SV762: $i,SV678: $i] :
( ( ( ~ ( in @ SV678 @ SV762 ) )
= $true )
| ( ( in @ SV678 @ SV1 )
= $true )
| ( ( in @ SV762 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( SV102
= ( sK236_SY249 @ SV102 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4920]) ).
thf(5241,plain,
! [SV102: $i,SV1: $i,SV763: $i,SV679: $i] :
( ( ( ~ ( in @ SV679 @ SV763 ) )
= $true )
| ( ( in @ SV679 @ SV1 )
= $true )
| ( ( in @ SV763 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK236_SY249 @ SV102 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4921]) ).
thf(5242,plain,
! [SV104: $i,SV1: $i,SV764: $i,SV680: $i] :
( ( ( ~ ( in @ SV680 @ SV764 ) )
= $true )
| ( ( in @ SV680 @ SV1 )
= $true )
| ( ( in @ SV764 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK237_SY250 @ SV104 @ SV1 ) @ ( sK93_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4922]) ).
thf(5243,plain,
! [SV104: $i,SV1: $i,SV765: $i,SV681: $i] :
( ( ( ~ ( in @ SV681 @ SV765 ) )
= $true )
| ( ( in @ SV681 @ SV1 )
= $true )
| ( ( in @ SV765 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( SV104
= ( sK237_SY250 @ SV104 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4923]) ).
thf(5244,plain,
! [SV104: $i,SV1: $i,SV766: $i,SV682: $i] :
( ( ( ~ ( in @ SV682 @ SV766 ) )
= $true )
| ( ( in @ SV682 @ SV1 )
= $true )
| ( ( in @ SV766 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK237_SY250 @ SV104 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4924]) ).
thf(5245,plain,
! [SV106: $i,SV1: $i,SV767: $i,SV683: $i] :
( ( ( ~ ( in @ SV683 @ SV767 ) )
= $true )
| ( ( in @ SV683 @ SV1 )
= $true )
| ( ( in @ SV767 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK238_SY251 @ SV106 @ SV1 ) @ ( sK94_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4925]) ).
thf(5246,plain,
! [SV106: $i,SV1: $i,SV768: $i,SV684: $i] :
( ( ( ~ ( in @ SV684 @ SV768 ) )
= $true )
| ( ( in @ SV684 @ SV1 )
= $true )
| ( ( in @ SV768 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( SV106
= ( sK238_SY251 @ SV106 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4926]) ).
thf(5247,plain,
! [SV106: $i,SV1: $i,SV769: $i,SV685: $i] :
( ( ( ~ ( in @ SV685 @ SV769 ) )
= $true )
| ( ( in @ SV685 @ SV1 )
= $true )
| ( ( in @ SV769 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK238_SY251 @ SV106 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4927]) ).
thf(5248,plain,
! [SV108: $i,SV1: $i,SV770: $i,SV686: $i] :
( ( ( ~ ( in @ SV686 @ SV770 ) )
= $true )
| ( ( in @ SV686 @ SV1 )
= $true )
| ( ( in @ SV770 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK239_SY252 @ SV108 @ SV1 ) @ ( sK95_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4928]) ).
thf(5249,plain,
! [SV108: $i,SV1: $i,SV771: $i,SV687: $i] :
( ( ( ~ ( in @ SV687 @ SV771 ) )
= $true )
| ( ( in @ SV687 @ SV1 )
= $true )
| ( ( in @ SV771 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( SV108
= ( sK239_SY252 @ SV108 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4929]) ).
thf(5250,plain,
! [SV108: $i,SV1: $i,SV772: $i,SV688: $i] :
( ( ( ~ ( in @ SV688 @ SV772 ) )
= $true )
| ( ( in @ SV688 @ SV1 )
= $true )
| ( ( in @ SV772 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK239_SY252 @ SV108 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4930]) ).
thf(5251,plain,
! [SV70: $i,SV1: $i,SV689: $i,SV589: $i] :
( ( ( in @ SV589 @ SV689 )
= $false )
| ( ( in @ SV589 @ SV1 )
= $true )
| ( ( in @ SV689 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK228_SY193 @ SV70 @ SV1 ) @ ( sK74_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4931]) ).
thf(5252,plain,
! [SV70: $i,SV1: $i,SV690: $i,SV590: $i] :
( ( ( in @ SV590 @ SV690 )
= $false )
| ( ( in @ SV590 @ SV1 )
= $true )
| ( ( in @ SV690 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( SV70
= ( sK228_SY193 @ SV70 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4932]) ).
thf(5253,plain,
! [SV70: $i,SV1: $i,SV691: $i,SV591: $i] :
( ( ( in @ SV591 @ SV691 )
= $false )
| ( ( in @ SV591 @ SV1 )
= $true )
| ( ( in @ SV691 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK74_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV70 @ ( sK228_SY193 @ SV70 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4933]) ).
thf(5254,plain,
! [SV72: $i,SV1: $i,SV692: $i,SV592: $i] :
( ( ( in @ SV592 @ SV692 )
= $false )
| ( ( in @ SV592 @ SV1 )
= $true )
| ( ( in @ SV692 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK229_SY194 @ SV72 @ SV1 ) @ ( sK75_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4934]) ).
thf(5255,plain,
! [SV72: $i,SV1: $i,SV693: $i,SV593: $i] :
( ( ( in @ SV593 @ SV693 )
= $false )
| ( ( in @ SV593 @ SV1 )
= $true )
| ( ( in @ SV693 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( SV72
= ( sK229_SY194 @ SV72 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4935]) ).
thf(5256,plain,
! [SV72: $i,SV1: $i,SV694: $i,SV594: $i] :
( ( ( in @ SV594 @ SV694 )
= $false )
| ( ( in @ SV594 @ SV1 )
= $true )
| ( ( in @ SV694 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK32_SY7 @ SV1 ) @ ( sK32_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK16_SY30 @ SV1 ) @ ( sK12_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK75_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV72 @ ( sK229_SY194 @ SV72 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4936]) ).
thf(5257,plain,
! [SV74: $i,SV1: $i,SV695: $i,SV595: $i] :
( ( ( in @ SV595 @ SV695 )
= $false )
| ( ( in @ SV595 @ SV1 )
= $true )
| ( ( in @ SV695 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK230_SY195 @ SV74 @ SV1 ) @ ( sK76_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4937]) ).
thf(5258,plain,
! [SV74: $i,SV1: $i,SV696: $i,SV596: $i] :
( ( ( in @ SV596 @ SV696 )
= $false )
| ( ( in @ SV596 @ SV1 )
= $true )
| ( ( in @ SV696 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( SV74
= ( sK230_SY195 @ SV74 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4938]) ).
thf(5259,plain,
! [SV74: $i,SV1: $i,SV697: $i,SV597: $i] :
( ( ( in @ SV597 @ SV697 )
= $false )
| ( ( in @ SV597 @ SV1 )
= $true )
| ( ( in @ SV697 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV74 @ ( sK76_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV74 @ ( sK230_SY195 @ SV74 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4939]) ).
thf(5260,plain,
! [SV76: $i,SV1: $i,SV698: $i,SV598: $i] :
( ( ( in @ SV598 @ SV698 )
= $false )
| ( ( in @ SV598 @ SV1 )
= $true )
| ( ( in @ SV698 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK231_SY196 @ SV76 @ SV1 ) @ ( sK77_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4940]) ).
thf(5261,plain,
! [SV76: $i,SV1: $i,SV699: $i,SV599: $i] :
( ( ( in @ SV599 @ SV699 )
= $false )
| ( ( in @ SV599 @ SV1 )
= $true )
| ( ( in @ SV699 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( SV76
= ( sK231_SY196 @ SV76 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4941]) ).
thf(5262,plain,
! [SV76: $i,SV1: $i,SV700: $i,SV600: $i] :
( ( ( in @ SV600 @ SV700 )
= $false )
| ( ( in @ SV600 @ SV1 )
= $true )
| ( ( in @ SV700 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK33_SY7 @ SV1 ) @ ( sK33_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV76 @ ( sK77_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV76 @ ( sK231_SY196 @ SV76 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4942]) ).
thf(5263,plain,
! [SV162: $i,SV773: $i,SV1: $i,SV841: $i] :
( ( ( in @ SV841 @ SV1 )
= $false )
| ( ( ~ ( in @ SV773 @ SV841 )
| ( in @ SV773 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK248_SY309 @ SV162 @ SV1 ) @ ( sK110_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4943]) ).
thf(5264,plain,
! [SV162: $i,SV774: $i,SV1: $i,SV842: $i] :
( ( ( in @ SV842 @ SV1 )
= $false )
| ( ( ~ ( in @ SV774 @ SV842 )
| ( in @ SV774 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( SV162
= ( sK248_SY309 @ SV162 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4944]) ).
thf(5265,plain,
! [SV162: $i,SV775: $i,SV1: $i,SV843: $i] :
( ( ( in @ SV843 @ SV1 )
= $false )
| ( ( ~ ( in @ SV775 @ SV843 )
| ( in @ SV775 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV162 @ ( sK248_SY309 @ SV162 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4945]) ).
thf(5266,plain,
! [SV164: $i,SV776: $i,SV1: $i,SV844: $i] :
( ( ( in @ SV844 @ SV1 )
= $false )
| ( ( ~ ( in @ SV776 @ SV844 )
| ( in @ SV776 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK249_SY310 @ SV164 @ SV1 ) @ ( sK111_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4946]) ).
thf(5267,plain,
! [SV164: $i,SV777: $i,SV1: $i,SV845: $i] :
( ( ( in @ SV845 @ SV1 )
= $false )
| ( ( ~ ( in @ SV777 @ SV845 )
| ( in @ SV777 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( SV164
= ( sK249_SY310 @ SV164 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4947]) ).
thf(5268,plain,
! [SV164: $i,SV778: $i,SV1: $i,SV846: $i] :
( ( ( in @ SV846 @ SV1 )
= $false )
| ( ( ~ ( in @ SV778 @ SV846 )
| ( in @ SV778 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV164 @ ( sK249_SY310 @ SV164 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4948]) ).
thf(5269,plain,
! [SV216: $i,SV847: $i,SV1: $i,SV913: $i] :
( ( ( ~ ( in @ SV913 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV847 @ SV913 )
| ( in @ SV847 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK260_SY351 @ SV216 @ SV1 ) @ ( sK124_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4949]) ).
thf(5270,plain,
! [SV216: $i,SV848: $i,SV1: $i,SV914: $i] :
( ( ( ~ ( in @ SV914 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV848 @ SV914 )
| ( in @ SV848 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( SV216
= ( sK260_SY351 @ SV216 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4950]) ).
thf(5271,plain,
! [SV216: $i,SV849: $i,SV1: $i,SV915: $i] :
( ( ( ~ ( in @ SV915 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV849 @ SV915 )
| ( in @ SV849 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK260_SY351 @ SV216 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4951]) ).
thf(5272,plain,
! [SV218: $i,SV850: $i,SV1: $i,SV916: $i] :
( ( ( ~ ( in @ SV916 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV850 @ SV916 )
| ( in @ SV850 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK261_SY352 @ SV218 @ SV1 ) @ ( sK125_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4952]) ).
thf(5273,plain,
! [SV218: $i,SV851: $i,SV1: $i,SV917: $i] :
( ( ( ~ ( in @ SV917 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV851 @ SV917 )
| ( in @ SV851 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( SV218
= ( sK261_SY352 @ SV218 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4953]) ).
thf(5274,plain,
! [SV218: $i,SV852: $i,SV1: $i,SV918: $i] :
( ( ( ~ ( in @ SV918 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV852 @ SV918 )
| ( in @ SV852 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK261_SY352 @ SV218 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4954]) ).
thf(5275,plain,
! [SV220: $i,SV853: $i,SV1: $i,SV919: $i] :
( ( ( ~ ( in @ SV919 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV853 @ SV919 )
| ( in @ SV853 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK262_SY353 @ SV220 @ SV1 ) @ ( sK126_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4955]) ).
thf(5276,plain,
! [SV220: $i,SV854: $i,SV1: $i,SV920: $i] :
( ( ( ~ ( in @ SV920 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV854 @ SV920 )
| ( in @ SV854 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( SV220
= ( sK262_SY353 @ SV220 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4956]) ).
thf(5277,plain,
! [SV220: $i,SV855: $i,SV1: $i,SV921: $i] :
( ( ( ~ ( in @ SV921 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV855 @ SV921 )
| ( in @ SV855 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK262_SY353 @ SV220 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4957]) ).
thf(5278,plain,
! [SV222: $i,SV856: $i,SV1: $i,SV922: $i] :
( ( ( ~ ( in @ SV922 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV856 @ SV922 )
| ( in @ SV856 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK263_SY354 @ SV222 @ SV1 ) @ ( sK127_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4958]) ).
thf(5279,plain,
! [SV222: $i,SV857: $i,SV1: $i,SV923: $i] :
( ( ( ~ ( in @ SV923 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV857 @ SV923 )
| ( in @ SV857 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( SV222
= ( sK263_SY354 @ SV222 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4959]) ).
thf(5280,plain,
! [SV222: $i,SV858: $i,SV1: $i,SV924: $i] :
( ( ( ~ ( in @ SV924 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV858 @ SV924 )
| ( in @ SV858 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK263_SY354 @ SV222 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4960]) ).
thf(5281,plain,
! [SV170: $i,SV779: $i,SV1: $i,SV859: $i] :
( ( ( in @ SV859 @ SV1 )
= $false )
| ( ( ~ ( in @ SV779 @ SV859 )
| ( in @ SV779 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK250_SY315 @ SV170 @ SV1 ) @ ( sK112_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4961]) ).
thf(5282,plain,
! [SV170: $i,SV780: $i,SV1: $i,SV860: $i] :
( ( ( in @ SV860 @ SV1 )
= $false )
| ( ( ~ ( in @ SV780 @ SV860 )
| ( in @ SV780 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( SV170
= ( sK250_SY315 @ SV170 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4962]) ).
thf(5283,plain,
! [SV170: $i,SV781: $i,SV1: $i,SV861: $i] :
( ( ( in @ SV861 @ SV1 )
= $false )
| ( ( ~ ( in @ SV781 @ SV861 )
| ( in @ SV781 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK250_SY315 @ SV170 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4963]) ).
thf(5284,plain,
! [SV172: $i,SV782: $i,SV1: $i,SV862: $i] :
( ( ( in @ SV862 @ SV1 )
= $false )
| ( ( ~ ( in @ SV782 @ SV862 )
| ( in @ SV782 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK251_SY316 @ SV172 @ SV1 ) @ ( sK113_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4964]) ).
thf(5285,plain,
! [SV172: $i,SV783: $i,SV1: $i,SV863: $i] :
( ( ( in @ SV863 @ SV1 )
= $false )
| ( ( ~ ( in @ SV783 @ SV863 )
| ( in @ SV783 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( SV172
= ( sK251_SY316 @ SV172 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4965]) ).
thf(5286,plain,
! [SV172: $i,SV784: $i,SV1: $i,SV864: $i] :
( ( ( in @ SV864 @ SV1 )
= $false )
| ( ( ~ ( in @ SV784 @ SV864 )
| ( in @ SV784 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK251_SY316 @ SV172 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4966]) ).
thf(5287,plain,
! [SV174: $i,SV785: $i,SV1: $i,SV865: $i] :
( ( ( in @ SV865 @ SV1 )
= $false )
| ( ( ~ ( in @ SV785 @ SV865 )
| ( in @ SV785 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK252_SY317 @ SV174 @ SV1 ) @ ( sK114_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4967]) ).
thf(5288,plain,
! [SV174: $i,SV786: $i,SV1: $i,SV866: $i] :
( ( ( in @ SV866 @ SV1 )
= $false )
| ( ( ~ ( in @ SV786 @ SV866 )
| ( in @ SV786 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( SV174
= ( sK252_SY317 @ SV174 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4968]) ).
thf(5289,plain,
! [SV174: $i,SV787: $i,SV1: $i,SV867: $i] :
( ( ( in @ SV867 @ SV1 )
= $false )
| ( ( ~ ( in @ SV787 @ SV867 )
| ( in @ SV787 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV174 @ ( sK252_SY317 @ SV174 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4969]) ).
thf(5290,plain,
! [SV176: $i,SV788: $i,SV1: $i,SV868: $i] :
( ( ( in @ SV868 @ SV1 )
= $false )
| ( ( ~ ( in @ SV788 @ SV868 )
| ( in @ SV788 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK253_SY318 @ SV176 @ SV1 ) @ ( sK115_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4970]) ).
thf(5291,plain,
! [SV176: $i,SV789: $i,SV1: $i,SV869: $i] :
( ( ( in @ SV869 @ SV1 )
= $false )
| ( ( ~ ( in @ SV789 @ SV869 )
| ( in @ SV789 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( SV176
= ( sK253_SY318 @ SV176 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4971]) ).
thf(5292,plain,
! [SV176: $i,SV790: $i,SV1: $i,SV870: $i] :
( ( ( in @ SV870 @ SV1 )
= $false )
| ( ( ~ ( in @ SV790 @ SV870 )
| ( in @ SV790 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV176 @ ( sK253_SY318 @ SV176 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4972]) ).
thf(5293,plain,
! [SV284: $i,SV925: $i,SV1: $i,SV997: $i] :
( ( ( ~ ( in @ SV997 @ SV1 )
| ~ ( in @ SV925 @ SV997 )
| ( in @ SV925 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK272_SY409 @ SV284 @ SV1 ) @ ( sK140_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4973]) ).
thf(5294,plain,
! [SV284: $i,SV926: $i,SV1: $i,SV998: $i] :
( ( ( ~ ( in @ SV998 @ SV1 )
| ~ ( in @ SV926 @ SV998 )
| ( in @ SV926 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( SV284
= ( sK272_SY409 @ SV284 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4974]) ).
thf(5295,plain,
! [SV284: $i,SV927: $i,SV1: $i,SV999: $i] :
( ( ( ~ ( in @ SV999 @ SV1 )
| ~ ( in @ SV927 @ SV999 )
| ( in @ SV927 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV284 @ ( sK272_SY409 @ SV284 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4975]) ).
thf(5296,plain,
! [SV286: $i,SV928: $i,SV1: $i,SV1000: $i] :
( ( ( ~ ( in @ SV1000 @ SV1 )
| ~ ( in @ SV928 @ SV1000 )
| ( in @ SV928 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK273_SY410 @ SV286 @ SV1 ) @ ( sK141_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4976]) ).
thf(5297,plain,
! [SV286: $i,SV929: $i,SV1: $i,SV1001: $i] :
( ( ( ~ ( in @ SV1001 @ SV1 )
| ~ ( in @ SV929 @ SV1001 )
| ( in @ SV929 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( SV286
= ( sK273_SY410 @ SV286 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4977]) ).
thf(5298,plain,
! [SV286: $i,SV930: $i,SV1: $i,SV1002: $i] :
( ( ( ~ ( in @ SV1002 @ SV1 )
| ~ ( in @ SV930 @ SV1002 )
| ( in @ SV930 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV286 @ ( sK273_SY410 @ SV286 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4978]) ).
thf(5299,plain,
! [SV348: $i,SV1003: $i,SV1: $i] :
( ( ( ! [SY857: $i] :
( ~ ( in @ SY857 @ SV1 )
| ~ ( in @ SV1003 @ SY857 )
| ( in @ SV1003 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK288_SY479 @ SV348 @ SV1 ) @ ( sK164_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4979]) ).
thf(5300,plain,
! [SV348: $i,SV1004: $i,SV1: $i] :
( ( ( ! [SY858: $i] :
( ~ ( in @ SY858 @ SV1 )
| ~ ( in @ SV1004 @ SY858 )
| ( in @ SV1004 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( SV348
= ( sK288_SY479 @ SV348 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4980]) ).
thf(5301,plain,
! [SV348: $i,SV1005: $i,SV1: $i] :
( ( ( ! [SY859: $i] :
( ~ ( in @ SY859 @ SV1 )
| ~ ( in @ SV1005 @ SY859 )
| ( in @ SV1005 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK288_SY479 @ SV348 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4981]) ).
thf(5302,plain,
! [SV350: $i,SV1006: $i,SV1: $i] :
( ( ( ! [SY860: $i] :
( ~ ( in @ SY860 @ SV1 )
| ~ ( in @ SV1006 @ SY860 )
| ( in @ SV1006 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK289_SY480 @ SV350 @ SV1 ) @ ( sK165_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4982]) ).
thf(5303,plain,
! [SV350: $i,SV1007: $i,SV1: $i] :
( ( ( ! [SY861: $i] :
( ~ ( in @ SY861 @ SV1 )
| ~ ( in @ SV1007 @ SY861 )
| ( in @ SV1007 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( SV350
= ( sK289_SY480 @ SV350 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4983]) ).
thf(5304,plain,
! [SV350: $i,SV1008: $i,SV1: $i] :
( ( ( ! [SY862: $i] :
( ~ ( in @ SY862 @ SV1 )
| ~ ( in @ SV1008 @ SY862 )
| ( in @ SV1008 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK289_SY480 @ SV350 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4984]) ).
thf(5305,plain,
! [SV352: $i,SV1009: $i,SV1: $i] :
( ( ( ! [SY863: $i] :
( ~ ( in @ SY863 @ SV1 )
| ~ ( in @ SV1009 @ SY863 )
| ( in @ SV1009 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK290_SY481 @ SV352 @ SV1 ) @ ( sK166_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4985]) ).
thf(5306,plain,
! [SV352: $i,SV1010: $i,SV1: $i] :
( ( ( ! [SY864: $i] :
( ~ ( in @ SY864 @ SV1 )
| ~ ( in @ SV1010 @ SY864 )
| ( in @ SV1010 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( SV352
= ( sK290_SY481 @ SV352 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4986]) ).
thf(5307,plain,
! [SV352: $i,SV1011: $i,SV1: $i] :
( ( ( ! [SY865: $i] :
( ~ ( in @ SY865 @ SV1 )
| ~ ( in @ SV1011 @ SY865 )
| ( in @ SV1011 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK290_SY481 @ SV352 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4987]) ).
thf(5308,plain,
! [SV354: $i,SV1012: $i,SV1: $i] :
( ( ( ! [SY866: $i] :
( ~ ( in @ SY866 @ SV1 )
| ~ ( in @ SV1012 @ SY866 )
| ( in @ SV1012 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK291_SY482 @ SV354 @ SV1 ) @ ( sK167_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4988]) ).
thf(5309,plain,
! [SV354: $i,SV1013: $i,SV1: $i] :
( ( ( ! [SY867: $i] :
( ~ ( in @ SY867 @ SV1 )
| ~ ( in @ SV1013 @ SY867 )
| ( in @ SV1013 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( SV354
= ( sK291_SY482 @ SV354 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4989]) ).
thf(5310,plain,
! [SV354: $i,SV1014: $i,SV1: $i] :
( ( ( ! [SY868: $i] :
( ~ ( in @ SY868 @ SV1 )
| ~ ( in @ SV1014 @ SY868 )
| ( in @ SV1014 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK291_SY482 @ SV354 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4990]) ).
thf(5311,plain,
! [SV292: $i,SV931: $i,SV1: $i,SV1015: $i] :
( ( ( ~ ( in @ SV1015 @ SV1 )
| ~ ( in @ SV931 @ SV1015 )
| ( in @ SV931 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK274_SY415 @ SV292 @ SV1 ) @ ( sK142_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4991]) ).
thf(5312,plain,
! [SV292: $i,SV932: $i,SV1: $i,SV1016: $i] :
( ( ( ~ ( in @ SV1016 @ SV1 )
| ~ ( in @ SV932 @ SV1016 )
| ( in @ SV932 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( SV292
= ( sK274_SY415 @ SV292 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4992]) ).
thf(5313,plain,
! [SV292: $i,SV933: $i,SV1: $i,SV1017: $i] :
( ( ( ~ ( in @ SV1017 @ SV1 )
| ~ ( in @ SV933 @ SV1017 )
| ( in @ SV933 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK274_SY415 @ SV292 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4993]) ).
thf(5314,plain,
! [SV294: $i,SV934: $i,SV1: $i,SV1018: $i] :
( ( ( ~ ( in @ SV1018 @ SV1 )
| ~ ( in @ SV934 @ SV1018 )
| ( in @ SV934 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK275_SY416 @ SV294 @ SV1 ) @ ( sK143_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4994]) ).
thf(5315,plain,
! [SV294: $i,SV935: $i,SV1: $i,SV1019: $i] :
( ( ( ~ ( in @ SV1019 @ SV1 )
| ~ ( in @ SV935 @ SV1019 )
| ( in @ SV935 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( SV294
= ( sK275_SY416 @ SV294 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4995]) ).
thf(5316,plain,
! [SV294: $i,SV936: $i,SV1: $i,SV1020: $i] :
( ( ( ~ ( in @ SV1020 @ SV1 )
| ~ ( in @ SV936 @ SV1020 )
| ( in @ SV936 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK275_SY416 @ SV294 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4996]) ).
thf(5317,plain,
! [SV1: $i,SV406: $i] :
( ( ( in @ ( sK300_SY529 @ SV406 @ SV1 ) @ ( sK180_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4997]) ).
thf(5318,plain,
! [SV1: $i,SV406: $i] :
( ( ( SV406
= ( sK300_SY529 @ SV406 @ SV1 ) )
= $false )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4998]) ).
thf(5319,plain,
! [SV1: $i,SV406: $i] :
( ( ( in @ SV406 @ ( sK300_SY529 @ SV406 @ SV1 ) )
= $false )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4998]) ).
thf(5320,plain,
! [SV1: $i,SV408: $i] :
( ( ( in @ ( sK301_SY530 @ SV408 @ SV1 ) @ ( sK181_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4999]) ).
thf(5321,plain,
! [SV1: $i,SV408: $i] :
( ( ( SV408
= ( sK301_SY530 @ SV408 @ SV1 ) )
= $false )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5000]) ).
thf(5322,plain,
! [SV1: $i,SV408: $i] :
( ( ( in @ SV408 @ ( sK301_SY530 @ SV408 @ SV1 ) )
= $false )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5000]) ).
thf(5323,plain,
! [SV1: $i,SV701: $i,SV601: $i] :
( ( ( in @ SV601 @ SV701 )
= $false )
| ( ( in @ SV601 @ SV1 )
= $true )
| ( ( in @ SV701 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK196_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5001]) ).
thf(5324,plain,
! [SV1: $i,SV516: $i] :
( ( ( ~ ( in @ ( sK312_SY589 @ SV516 @ SV1 ) @ ( sK196_SY8 @ SV1 ) )
| ( SV516
= ( sK312_SY589 @ SV516 @ SV1 ) )
| ( in @ SV516 @ ( sK312_SY589 @ SV516 @ SV1 ) ) )
= $false )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5002]) ).
thf(5325,plain,
! [SV1: $i,SV702: $i,SV602: $i] :
( ( ( in @ SV602 @ SV702 )
= $false )
| ( ( in @ SV602 @ SV1 )
= $true )
| ( ( in @ SV702 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK197_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5003]) ).
thf(5326,plain,
! [SV1: $i,SV518: $i] :
( ( ( ~ ( in @ ( sK313_SY590 @ SV518 @ SV1 ) @ ( sK197_SY8 @ SV1 ) )
| ( SV518
= ( sK313_SY590 @ SV518 @ SV1 ) )
| ( in @ SV518 @ ( sK313_SY590 @ SV518 @ SV1 ) ) )
= $false )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5004]) ).
thf(5327,plain,
! [SV1: $i,SV791: $i,SV703: $i] :
( ( ( ~ ( in @ SV703 @ SV791 ) )
= $true )
| ( ( in @ SV703 @ SV1 )
= $true )
| ( ( in @ SV791 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK212_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5006]) ).
thf(5328,plain,
! [SV604: $i,SV1: $i] :
( ( ( ! [SY659: $i] :
( ~ ( in @ SY659 @ ( sK212_SY8 @ SV1 ) )
| ( SV604 = SY659 )
| ( in @ SV604 @ SY659 ) ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5007]) ).
thf(5329,plain,
! [SV1: $i,SV792: $i,SV704: $i] :
( ( ( ~ ( in @ SV704 @ SV792 ) )
= $true )
| ( ( in @ SV704 @ SV1 )
= $true )
| ( ( in @ SV792 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK213_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5009]) ).
thf(5330,plain,
! [SV606: $i,SV1: $i] :
( ( ( ! [SY660: $i] :
( ~ ( in @ SY660 @ ( sK213_SY8 @ SV1 ) )
| ( SV606 = SY660 )
| ( in @ SV606 @ SY660 ) ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5010]) ).
thf(5331,plain,
! [SV1: $i,SV793: $i,SV705: $i] :
( ( ( ~ ( in @ SV705 @ SV793 ) )
= $true )
| ( ( in @ SV705 @ SV1 )
= $true )
| ( ( in @ SV793 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK214_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5012]) ).
thf(5332,plain,
! [SV608: $i,SV1: $i] :
( ( ( ! [SY661: $i] :
( ~ ( in @ SY661 @ ( sK214_SY8 @ SV1 ) )
| ( SV608 = SY661 )
| ( in @ SV608 @ SY661 ) ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5013]) ).
thf(5333,plain,
! [SV1: $i,SV794: $i,SV706: $i] :
( ( ( ~ ( in @ SV706 @ SV794 ) )
= $true )
| ( ( in @ SV706 @ SV1 )
= $true )
| ( ( in @ SV794 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK215_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5015]) ).
thf(5334,plain,
! [SV610: $i,SV1: $i] :
( ( ( ! [SY662: $i] :
( ~ ( in @ SY662 @ ( sK215_SY8 @ SV1 ) )
| ( SV610 = SY662 )
| ( in @ SV610 @ SY662 ) ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5016]) ).
thf(5335,plain,
! [SV1: $i,SV707: $i,SV611: $i] :
( ( ( in @ SV611 @ SV707 )
= $false )
| ( ( in @ SV611 @ SV1 )
= $true )
| ( ( in @ SV707 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ( sK198_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5017]) ).
thf(5336,plain,
! [SV1: $i,SV524: $i] :
( ( ( ~ ( in @ ( sK314_SY595 @ SV524 @ SV1 ) @ ( sK198_SY8 @ SV1 ) )
| ( SV524
= ( sK314_SY595 @ SV524 @ SV1 ) )
| ( in @ SV524 @ ( sK314_SY595 @ SV524 @ SV1 ) ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5018]) ).
thf(5337,plain,
! [SV1: $i,SV708: $i,SV612: $i] :
( ( ( in @ SV612 @ SV708 )
= $false )
| ( ( in @ SV612 @ SV1 )
= $true )
| ( ( in @ SV708 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( ( sK199_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5019]) ).
thf(5338,plain,
! [SV1: $i,SV526: $i] :
( ( ( ~ ( in @ ( sK315_SY596 @ SV526 @ SV1 ) @ ( sK199_SY8 @ SV1 ) )
| ( SV526
= ( sK315_SY596 @ SV526 @ SV1 ) )
| ( in @ SV526 @ ( sK315_SY596 @ SV526 @ SV1 ) ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5020]) ).
thf(5339,plain,
! [SV1: $i,SV410: $i] :
( ( ( in @ ( sK302_SY531 @ SV410 @ SV1 ) @ ( sK182_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5021]) ).
thf(5340,plain,
! [SV1: $i,SV410: $i] :
( ( ( SV410
= ( sK302_SY531 @ SV410 @ SV1 ) )
= $false )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5022]) ).
thf(5341,plain,
! [SV1: $i,SV410: $i] :
( ( ( in @ SV410 @ ( sK302_SY531 @ SV410 @ SV1 ) )
= $false )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5022]) ).
thf(5342,plain,
! [SV1: $i,SV412: $i] :
( ( ( in @ ( sK303_SY532 @ SV412 @ SV1 ) @ ( sK183_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5023]) ).
thf(5343,plain,
! [SV1: $i,SV412: $i] :
( ( ( SV412
= ( sK303_SY532 @ SV412 @ SV1 ) )
= $false )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5024]) ).
thf(5344,plain,
! [SV1: $i,SV412: $i] :
( ( ( in @ SV412 @ ( sK303_SY532 @ SV412 @ SV1 ) )
= $false )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5024]) ).
thf(5345,plain,
! [SV1: $i,SV709: $i,SV613: $i] :
( ( ( in @ SV613 @ SV709 )
= $false )
| ( ( in @ SV613 @ SV1 )
= $true )
| ( ( in @ SV709 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK200_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5025]) ).
thf(5346,plain,
! [SV1: $i,SV530: $i] :
( ( ( ~ ( in @ ( sK316_SY597 @ SV530 @ SV1 ) @ ( sK200_SY8 @ SV1 ) )
| ( SV530
= ( sK316_SY597 @ SV530 @ SV1 ) )
| ( in @ SV530 @ ( sK316_SY597 @ SV530 @ SV1 ) ) )
= $false )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5026]) ).
thf(5347,plain,
! [SV1: $i,SV710: $i,SV614: $i] :
( ( ( in @ SV614 @ SV710 )
= $false )
| ( ( in @ SV614 @ SV1 )
= $true )
| ( ( in @ SV710 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK201_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5027]) ).
thf(5348,plain,
! [SV1: $i,SV532: $i] :
( ( ( ~ ( in @ ( sK317_SY598 @ SV532 @ SV1 ) @ ( sK201_SY8 @ SV1 ) )
| ( SV532
= ( sK317_SY598 @ SV532 @ SV1 ) )
| ( in @ SV532 @ ( sK317_SY598 @ SV532 @ SV1 ) ) )
= $false )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5028]) ).
thf(5349,plain,
! [SV1: $i,SV795: $i,SV711: $i] :
( ( ( ~ ( in @ SV711 @ SV795 ) )
= $true )
| ( ( in @ SV711 @ SV1 )
= $true )
| ( ( in @ SV795 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK216_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5030]) ).
thf(5350,plain,
! [SV616: $i,SV1: $i] :
( ( ( ! [SY667: $i] :
( ~ ( in @ SY667 @ ( sK216_SY8 @ SV1 ) )
| ( SV616 = SY667 )
| ( in @ SV616 @ SY667 ) ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5031]) ).
thf(5351,plain,
! [SV1: $i,SV796: $i,SV712: $i] :
( ( ( ~ ( in @ SV712 @ SV796 ) )
= $true )
| ( ( in @ SV712 @ SV1 )
= $true )
| ( ( in @ SV796 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK217_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5033]) ).
thf(5352,plain,
! [SV618: $i,SV1: $i] :
( ( ( ! [SY668: $i] :
( ~ ( in @ SY668 @ ( sK217_SY8 @ SV1 ) )
| ( SV618 = SY668 )
| ( in @ SV618 @ SY668 ) ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5034]) ).
thf(5353,plain,
! [SV1: $i,SV797: $i,SV713: $i] :
( ( ( ~ ( in @ SV713 @ SV797 ) )
= $true )
| ( ( in @ SV713 @ SV1 )
= $true )
| ( ( in @ SV797 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK218_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5036]) ).
thf(5354,plain,
! [SV620: $i,SV1: $i] :
( ( ( ! [SY669: $i] :
( ~ ( in @ SY669 @ ( sK218_SY8 @ SV1 ) )
| ( SV620 = SY669 )
| ( in @ SV620 @ SY669 ) ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5037]) ).
thf(5355,plain,
! [SV1: $i,SV798: $i,SV714: $i] :
( ( ( ~ ( in @ SV714 @ SV798 ) )
= $true )
| ( ( in @ SV714 @ SV1 )
= $true )
| ( ( in @ SV798 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK219_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5039]) ).
thf(5356,plain,
! [SV622: $i,SV1: $i] :
( ( ( ! [SY670: $i] :
( ~ ( in @ SY670 @ ( sK219_SY8 @ SV1 ) )
| ( SV622 = SY670 )
| ( in @ SV622 @ SY670 ) ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5040]) ).
thf(5357,plain,
! [SV1: $i,SV715: $i,SV623: $i] :
( ( ( in @ SV623 @ SV715 )
= $false )
| ( ( in @ SV623 @ SV1 )
= $true )
| ( ( in @ SV715 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ( sK202_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5041]) ).
thf(5358,plain,
! [SV1: $i,SV538: $i] :
( ( ( ~ ( in @ ( sK318_SY603 @ SV538 @ SV1 ) @ ( sK202_SY8 @ SV1 ) )
| ( SV538
= ( sK318_SY603 @ SV538 @ SV1 ) )
| ( in @ SV538 @ ( sK318_SY603 @ SV538 @ SV1 ) ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5042]) ).
thf(5359,plain,
! [SV1: $i,SV716: $i,SV624: $i] :
( ( ( in @ SV624 @ SV716 )
= $false )
| ( ( in @ SV624 @ SV1 )
= $true )
| ( ( in @ SV716 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( ( sK203_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5043]) ).
thf(5360,plain,
! [SV1: $i,SV540: $i] :
( ( ( ~ ( in @ ( sK319_SY604 @ SV540 @ SV1 ) @ ( sK203_SY8 @ SV1 ) )
| ( SV540
= ( sK319_SY604 @ SV540 @ SV1 ) )
| ( in @ SV540 @ ( sK319_SY604 @ SV540 @ SV1 ) ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5044]) ).
thf(5361,plain,
! [SV178: $i,SV799: $i,SV1: $i,SV871: $i] :
( ( ( in @ SV871 @ SV1 )
= $false )
| ( ( ~ ( in @ SV799 @ SV871 )
| ( in @ SV799 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK254_SY327 @ SV178 @ SV1 ) @ ( sK118_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5045]) ).
thf(5362,plain,
! [SV178: $i,SV800: $i,SV1: $i,SV872: $i] :
( ( ( in @ SV872 @ SV1 )
= $false )
| ( ( ~ ( in @ SV800 @ SV872 )
| ( in @ SV800 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( SV178
= ( sK254_SY327 @ SV178 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5046]) ).
thf(5363,plain,
! [SV178: $i,SV801: $i,SV1: $i,SV873: $i] :
( ( ( in @ SV873 @ SV1 )
= $false )
| ( ( ~ ( in @ SV801 @ SV873 )
| ( in @ SV801 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV178 @ ( sK254_SY327 @ SV178 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5047]) ).
thf(5364,plain,
! [SV180: $i,SV802: $i,SV1: $i,SV874: $i] :
( ( ( in @ SV874 @ SV1 )
= $false )
| ( ( ~ ( in @ SV802 @ SV874 )
| ( in @ SV802 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK255_SY328 @ SV180 @ SV1 ) @ ( sK119_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5048]) ).
thf(5365,plain,
! [SV180: $i,SV803: $i,SV1: $i,SV875: $i] :
( ( ( in @ SV875 @ SV1 )
= $false )
| ( ( ~ ( in @ SV803 @ SV875 )
| ( in @ SV803 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( SV180
= ( sK255_SY328 @ SV180 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5049]) ).
thf(5366,plain,
! [SV180: $i,SV804: $i,SV1: $i,SV876: $i] :
( ( ( in @ SV876 @ SV1 )
= $false )
| ( ( ~ ( in @ SV804 @ SV876 )
| ( in @ SV804 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV180 @ ( sK255_SY328 @ SV180 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5050]) ).
thf(5367,plain,
! [SV298: $i,SV937: $i,SV1: $i,SV1021: $i] :
( ( ( ~ ( in @ SV1021 @ SV1 )
| ~ ( in @ SV937 @ SV1021 )
| ( in @ SV937 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK276_SY433 @ SV298 @ SV1 ) @ ( sK148_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5051]) ).
thf(5368,plain,
! [SV298: $i,SV938: $i,SV1: $i,SV1022: $i] :
( ( ( ~ ( in @ SV1022 @ SV1 )
| ~ ( in @ SV938 @ SV1022 )
| ( in @ SV938 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( SV298
= ( sK276_SY433 @ SV298 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5052]) ).
thf(5369,plain,
! [SV298: $i,SV939: $i,SV1: $i,SV1023: $i] :
( ( ( ~ ( in @ SV1023 @ SV1 )
| ~ ( in @ SV939 @ SV1023 )
| ( in @ SV939 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV298 @ ( sK276_SY433 @ SV298 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5053]) ).
thf(5370,plain,
! [SV300: $i,SV940: $i,SV1: $i,SV1024: $i] :
( ( ( ~ ( in @ SV1024 @ SV1 )
| ~ ( in @ SV940 @ SV1024 )
| ( in @ SV940 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK277_SY434 @ SV300 @ SV1 ) @ ( sK149_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5054]) ).
thf(5371,plain,
! [SV300: $i,SV941: $i,SV1: $i,SV1025: $i] :
( ( ( ~ ( in @ SV1025 @ SV1 )
| ~ ( in @ SV941 @ SV1025 )
| ( in @ SV941 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( SV300
= ( sK277_SY434 @ SV300 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5055]) ).
thf(5372,plain,
! [SV300: $i,SV942: $i,SV1: $i,SV1026: $i] :
( ( ( ~ ( in @ SV1026 @ SV1 )
| ~ ( in @ SV942 @ SV1026 )
| ( in @ SV942 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV300 @ ( sK277_SY434 @ SV300 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5056]) ).
thf(5373,plain,
! [SV364: $i,SV1027: $i,SV1: $i] :
( ( ( ! [SY869: $i] :
( ~ ( in @ SY869 @ SV1 )
| ~ ( in @ SV1027 @ SY869 )
| ( in @ SV1027 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK292_SY507 @ SV364 @ SV1 ) @ ( sK172_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5057]) ).
thf(5374,plain,
! [SV364: $i,SV1028: $i,SV1: $i] :
( ( ( ! [SY870: $i] :
( ~ ( in @ SY870 @ SV1 )
| ~ ( in @ SV1028 @ SY870 )
| ( in @ SV1028 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( SV364
= ( sK292_SY507 @ SV364 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5058]) ).
thf(5375,plain,
! [SV364: $i,SV1029: $i,SV1: $i] :
( ( ( ! [SY871: $i] :
( ~ ( in @ SY871 @ SV1 )
| ~ ( in @ SV1029 @ SY871 )
| ( in @ SV1029 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK292_SY507 @ SV364 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5059]) ).
thf(5376,plain,
! [SV366: $i,SV1030: $i,SV1: $i] :
( ( ( ! [SY872: $i] :
( ~ ( in @ SY872 @ SV1 )
| ~ ( in @ SV1030 @ SY872 )
| ( in @ SV1030 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK293_SY508 @ SV366 @ SV1 ) @ ( sK173_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5060]) ).
thf(5377,plain,
! [SV366: $i,SV1031: $i,SV1: $i] :
( ( ( ! [SY873: $i] :
( ~ ( in @ SY873 @ SV1 )
| ~ ( in @ SV1031 @ SY873 )
| ( in @ SV1031 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( SV366
= ( sK293_SY508 @ SV366 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5061]) ).
thf(5378,plain,
! [SV366: $i,SV1032: $i,SV1: $i] :
( ( ( ! [SY874: $i] :
( ~ ( in @ SY874 @ SV1 )
| ~ ( in @ SV1032 @ SY874 )
| ( in @ SV1032 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK293_SY508 @ SV366 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5062]) ).
thf(5379,plain,
! [SV368: $i,SV1033: $i,SV1: $i] :
( ( ( ! [SY875: $i] :
( ~ ( in @ SY875 @ SV1 )
| ~ ( in @ SV1033 @ SY875 )
| ( in @ SV1033 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK294_SY509 @ SV368 @ SV1 ) @ ( sK174_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5063]) ).
thf(5380,plain,
! [SV368: $i,SV1034: $i,SV1: $i] :
( ( ( ! [SY876: $i] :
( ~ ( in @ SY876 @ SV1 )
| ~ ( in @ SV1034 @ SY876 )
| ( in @ SV1034 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( SV368
= ( sK294_SY509 @ SV368 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5064]) ).
thf(5381,plain,
! [SV368: $i,SV1035: $i,SV1: $i] :
( ( ( ! [SY877: $i] :
( ~ ( in @ SY877 @ SV1 )
| ~ ( in @ SV1035 @ SY877 )
| ( in @ SV1035 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK294_SY509 @ SV368 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5065]) ).
thf(5382,plain,
! [SV370: $i,SV1036: $i,SV1: $i] :
( ( ( ! [SY878: $i] :
( ~ ( in @ SY878 @ SV1 )
| ~ ( in @ SV1036 @ SY878 )
| ( in @ SV1036 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK295_SY510 @ SV370 @ SV1 ) @ ( sK175_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5066]) ).
thf(5383,plain,
! [SV370: $i,SV1037: $i,SV1: $i] :
( ( ( ! [SY879: $i] :
( ~ ( in @ SY879 @ SV1 )
| ~ ( in @ SV1037 @ SY879 )
| ( in @ SV1037 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( SV370
= ( sK295_SY510 @ SV370 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5067]) ).
thf(5384,plain,
! [SV370: $i,SV1038: $i,SV1: $i] :
( ( ( ! [SY880: $i] :
( ~ ( in @ SY880 @ SV1 )
| ~ ( in @ SV1038 @ SY880 )
| ( in @ SV1038 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK295_SY510 @ SV370 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5068]) ).
thf(5385,plain,
! [SV306: $i,SV943: $i,SV1: $i,SV1039: $i] :
( ( ( ~ ( in @ SV1039 @ SV1 )
| ~ ( in @ SV943 @ SV1039 )
| ( in @ SV943 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK278_SY439 @ SV306 @ SV1 ) @ ( sK150_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5069]) ).
thf(5386,plain,
! [SV306: $i,SV944: $i,SV1: $i,SV1040: $i] :
( ( ( ~ ( in @ SV1040 @ SV1 )
| ~ ( in @ SV944 @ SV1040 )
| ( in @ SV944 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( SV306
= ( sK278_SY439 @ SV306 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5070]) ).
thf(5387,plain,
! [SV306: $i,SV945: $i,SV1: $i,SV1041: $i] :
( ( ( ~ ( in @ SV1041 @ SV1 )
| ~ ( in @ SV945 @ SV1041 )
| ( in @ SV945 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK278_SY439 @ SV306 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5071]) ).
thf(5388,plain,
! [SV308: $i,SV946: $i,SV1: $i,SV1042: $i] :
( ( ( ~ ( in @ SV1042 @ SV1 )
| ~ ( in @ SV946 @ SV1042 )
| ( in @ SV946 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK279_SY440 @ SV308 @ SV1 ) @ ( sK151_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5072]) ).
thf(5389,plain,
! [SV308: $i,SV947: $i,SV1: $i,SV1043: $i] :
( ( ( ~ ( in @ SV1043 @ SV1 )
| ~ ( in @ SV947 @ SV1043 )
| ( in @ SV947 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( SV308
= ( sK279_SY440 @ SV308 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5073]) ).
thf(5390,plain,
! [SV308: $i,SV948: $i,SV1: $i,SV1044: $i] :
( ( ( ~ ( in @ SV1044 @ SV1 )
| ~ ( in @ SV948 @ SV1044 )
| ( in @ SV948 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK279_SY440 @ SV308 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5074]) ).
thf(5391,plain,
! [SV80: $i,SV1: $i,SV717: $i,SV631: $i] :
( ( ( in @ SV631 @ SV717 )
= $false )
| ( ( in @ SV631 @ SV1 )
= $true )
| ( ( in @ SV717 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK232_SY215 @ SV80 @ SV1 ) @ ( sK84_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5081]) ).
thf(5392,plain,
! [SV80: $i,SV1: $i,SV718: $i,SV632: $i] :
( ( ( in @ SV632 @ SV718 )
= $false )
| ( ( in @ SV632 @ SV1 )
= $true )
| ( ( in @ SV718 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( SV80
= ( sK232_SY215 @ SV80 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5082]) ).
thf(5393,plain,
! [SV80: $i,SV1: $i,SV719: $i,SV633: $i] :
( ( ( in @ SV633 @ SV719 )
= $false )
| ( ( in @ SV633 @ SV1 )
= $true )
| ( ( in @ SV719 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK84_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV80 @ ( sK232_SY215 @ SV80 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5083]) ).
thf(5394,plain,
! [SV82: $i,SV1: $i,SV720: $i,SV634: $i] :
( ( ( in @ SV634 @ SV720 )
= $false )
| ( ( in @ SV634 @ SV1 )
= $true )
| ( ( in @ SV720 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK233_SY216 @ SV82 @ SV1 ) @ ( sK85_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5084]) ).
thf(5395,plain,
! [SV82: $i,SV1: $i,SV721: $i,SV635: $i] :
( ( ( in @ SV635 @ SV721 )
= $false )
| ( ( in @ SV635 @ SV1 )
= $true )
| ( ( in @ SV721 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( SV82
= ( sK233_SY216 @ SV82 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5085]) ).
thf(5396,plain,
! [SV82: $i,SV1: $i,SV722: $i,SV636: $i] :
( ( ( in @ SV636 @ SV722 )
= $false )
| ( ( in @ SV636 @ SV1 )
= $true )
| ( ( in @ SV722 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK36_SY7 @ SV1 ) @ ( sK36_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK10_SY5 @ SV1 )
= ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK85_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV82 @ ( sK233_SY216 @ SV82 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5086]) ).
thf(5397,plain,
! [SV84: $i,SV1: $i,SV723: $i,SV637: $i] :
( ( ( in @ SV637 @ SV723 )
= $false )
| ( ( in @ SV637 @ SV1 )
= $true )
| ( ( in @ SV723 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK234_SY217 @ SV84 @ SV1 ) @ ( sK86_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5087]) ).
thf(5398,plain,
! [SV84: $i,SV1: $i,SV724: $i,SV638: $i] :
( ( ( in @ SV638 @ SV724 )
= $false )
| ( ( in @ SV638 @ SV1 )
= $true )
| ( ( in @ SV724 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( SV84
= ( sK234_SY217 @ SV84 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5088]) ).
thf(5399,plain,
! [SV84: $i,SV1: $i,SV725: $i,SV639: $i] :
( ( ( in @ SV639 @ SV725 )
= $false )
| ( ( in @ SV639 @ SV1 )
= $true )
| ( ( in @ SV725 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK86_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV84 @ ( sK234_SY217 @ SV84 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5089]) ).
thf(5400,plain,
! [SV86: $i,SV1: $i,SV726: $i,SV640: $i] :
( ( ( in @ SV640 @ SV726 )
= $false )
| ( ( in @ SV640 @ SV1 )
= $true )
| ( ( in @ SV726 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK235_SY218 @ SV86 @ SV1 ) @ ( sK87_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5090]) ).
thf(5401,plain,
! [SV86: $i,SV1: $i,SV727: $i,SV641: $i] :
( ( ( in @ SV641 @ SV727 )
= $false )
| ( ( in @ SV641 @ SV1 )
= $true )
| ( ( in @ SV727 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( SV86
= ( sK235_SY218 @ SV86 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5091]) ).
thf(5402,plain,
! [SV86: $i,SV1: $i,SV728: $i,SV642: $i] :
( ( ( in @ SV642 @ SV728 )
= $false )
| ( ( in @ SV642 @ SV1 )
= $true )
| ( ( in @ SV728 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK37_SY7 @ SV1 ) @ ( sK37_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK10_SY5 @ SV1 ) @ ( sK14_SY29 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK87_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV86 @ ( sK235_SY218 @ SV86 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5092]) ).
thf(5403,plain,
! [SV132: $i,SV1: $i,SV805: $i,SV729: $i] :
( ( ( ~ ( in @ SV729 @ SV805 ) )
= $true )
| ( ( in @ SV729 @ SV1 )
= $true )
| ( ( in @ SV805 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK240_SY285 @ SV132 @ SV1 ) @ ( sK100_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5105]) ).
thf(5404,plain,
! [SV132: $i,SV1: $i,SV806: $i,SV730: $i] :
( ( ( ~ ( in @ SV730 @ SV806 ) )
= $true )
| ( ( in @ SV730 @ SV1 )
= $true )
| ( ( in @ SV806 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( SV132
= ( sK240_SY285 @ SV132 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5106]) ).
thf(5405,plain,
! [SV132: $i,SV1: $i,SV807: $i,SV731: $i] :
( ( ( ~ ( in @ SV731 @ SV807 ) )
= $true )
| ( ( in @ SV731 @ SV1 )
= $true )
| ( ( in @ SV807 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV132 @ ( sK240_SY285 @ SV132 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5107]) ).
thf(5406,plain,
! [SV134: $i,SV1: $i,SV808: $i,SV732: $i] :
( ( ( ~ ( in @ SV732 @ SV808 ) )
= $true )
| ( ( in @ SV732 @ SV1 )
= $true )
| ( ( in @ SV808 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK241_SY286 @ SV134 @ SV1 ) @ ( sK101_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5108]) ).
thf(5407,plain,
! [SV134: $i,SV1: $i,SV809: $i,SV733: $i] :
( ( ( ~ ( in @ SV733 @ SV809 ) )
= $true )
| ( ( in @ SV733 @ SV1 )
= $true )
| ( ( in @ SV809 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( SV134
= ( sK241_SY286 @ SV134 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5109]) ).
thf(5408,plain,
! [SV134: $i,SV1: $i,SV810: $i,SV734: $i] :
( ( ( ~ ( in @ SV734 @ SV810 ) )
= $true )
| ( ( in @ SV734 @ SV1 )
= $true )
| ( ( in @ SV810 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV134 @ ( sK241_SY286 @ SV134 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5110]) ).
thf(5409,plain,
! [SV188: $i,SV811: $i,SV1: $i,SV877: $i] :
( ( ( in @ SV877 @ SV1 )
= $false )
| ( ( ~ ( in @ SV811 @ SV877 )
| ( in @ SV811 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK256_SY331 @ SV188 @ SV1 ) @ ( sK120_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5111]) ).
thf(5410,plain,
! [SV188: $i,SV812: $i,SV1: $i,SV878: $i] :
( ( ( in @ SV878 @ SV1 )
= $false )
| ( ( ~ ( in @ SV812 @ SV878 )
| ( in @ SV812 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( SV188
= ( sK256_SY331 @ SV188 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5112]) ).
thf(5411,plain,
! [SV188: $i,SV813: $i,SV1: $i,SV879: $i] :
( ( ( in @ SV879 @ SV1 )
= $false )
| ( ( ~ ( in @ SV813 @ SV879 )
| ( in @ SV813 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK256_SY331 @ SV188 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5113]) ).
thf(5412,plain,
! [SV190: $i,SV814: $i,SV1: $i,SV880: $i] :
( ( ( in @ SV880 @ SV1 )
= $false )
| ( ( ~ ( in @ SV814 @ SV880 )
| ( in @ SV814 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK257_SY332 @ SV190 @ SV1 ) @ ( sK121_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5114]) ).
thf(5413,plain,
! [SV190: $i,SV815: $i,SV1: $i,SV881: $i] :
( ( ( in @ SV881 @ SV1 )
= $false )
| ( ( ~ ( in @ SV815 @ SV881 )
| ( in @ SV815 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( SV190
= ( sK257_SY332 @ SV190 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5115]) ).
thf(5414,plain,
! [SV190: $i,SV816: $i,SV1: $i,SV882: $i] :
( ( ( in @ SV882 @ SV1 )
= $false )
| ( ( ~ ( in @ SV816 @ SV882 )
| ( in @ SV816 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK257_SY332 @ SV190 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5116]) ).
thf(5415,plain,
! [SV192: $i,SV817: $i,SV1: $i,SV883: $i] :
( ( ( in @ SV883 @ SV1 )
= $false )
| ( ( ~ ( in @ SV817 @ SV883 )
| ( in @ SV817 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK258_SY333 @ SV192 @ SV1 ) @ ( sK122_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5117]) ).
thf(5416,plain,
! [SV192: $i,SV818: $i,SV1: $i,SV884: $i] :
( ( ( in @ SV884 @ SV1 )
= $false )
| ( ( ~ ( in @ SV818 @ SV884 )
| ( in @ SV818 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( SV192
= ( sK258_SY333 @ SV192 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5118]) ).
thf(5417,plain,
! [SV192: $i,SV819: $i,SV1: $i,SV885: $i] :
( ( ( in @ SV885 @ SV1 )
= $false )
| ( ( ~ ( in @ SV819 @ SV885 )
| ( in @ SV819 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK258_SY333 @ SV192 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5119]) ).
thf(5418,plain,
! [SV194: $i,SV820: $i,SV1: $i,SV886: $i] :
( ( ( in @ SV886 @ SV1 )
= $false )
| ( ( ~ ( in @ SV820 @ SV886 )
| ( in @ SV820 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK259_SY334 @ SV194 @ SV1 ) @ ( sK123_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5120]) ).
thf(5419,plain,
! [SV194: $i,SV821: $i,SV1: $i,SV887: $i] :
( ( ( in @ SV887 @ SV1 )
= $false )
| ( ( ~ ( in @ SV821 @ SV887 )
| ( in @ SV821 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( SV194
= ( sK259_SY334 @ SV194 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5121]) ).
thf(5420,plain,
! [SV194: $i,SV822: $i,SV1: $i,SV888: $i] :
( ( ( in @ SV888 @ SV1 )
= $false )
| ( ( ~ ( in @ SV822 @ SV888 )
| ( in @ SV822 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK259_SY334 @ SV194 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5122]) ).
thf(5421,plain,
! [SV140: $i,SV1: $i,SV823: $i,SV735: $i] :
( ( ( ~ ( in @ SV735 @ SV823 ) )
= $true )
| ( ( in @ SV735 @ SV1 )
= $true )
| ( ( in @ SV823 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK242_SY291 @ SV140 @ SV1 ) @ ( sK102_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5123]) ).
thf(5422,plain,
! [SV140: $i,SV1: $i,SV824: $i,SV736: $i] :
( ( ( ~ ( in @ SV736 @ SV824 ) )
= $true )
| ( ( in @ SV736 @ SV1 )
= $true )
| ( ( in @ SV824 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( SV140
= ( sK242_SY291 @ SV140 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5124]) ).
thf(5423,plain,
! [SV140: $i,SV1: $i,SV825: $i,SV737: $i] :
( ( ( ~ ( in @ SV737 @ SV825 ) )
= $true )
| ( ( in @ SV737 @ SV1 )
= $true )
| ( ( in @ SV825 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK242_SY291 @ SV140 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5125]) ).
thf(5424,plain,
! [SV142: $i,SV1: $i,SV826: $i,SV738: $i] :
( ( ( ~ ( in @ SV738 @ SV826 ) )
= $true )
| ( ( in @ SV738 @ SV1 )
= $true )
| ( ( in @ SV826 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK243_SY292 @ SV142 @ SV1 ) @ ( sK103_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5126]) ).
thf(5425,plain,
! [SV142: $i,SV1: $i,SV827: $i,SV739: $i] :
( ( ( ~ ( in @ SV739 @ SV827 ) )
= $true )
| ( ( in @ SV739 @ SV1 )
= $true )
| ( ( in @ SV827 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( SV142
= ( sK243_SY292 @ SV142 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5127]) ).
thf(5426,plain,
! [SV142: $i,SV1: $i,SV828: $i,SV740: $i] :
( ( ( ~ ( in @ SV740 @ SV828 ) )
= $true )
| ( ( in @ SV740 @ SV1 )
= $true )
| ( ( in @ SV828 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK243_SY292 @ SV142 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5128]) ).
thf(5427,plain,
! [SV144: $i,SV1: $i,SV829: $i,SV741: $i] :
( ( ( ~ ( in @ SV741 @ SV829 ) )
= $true )
| ( ( in @ SV741 @ SV1 )
= $true )
| ( ( in @ SV829 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK244_SY293 @ SV144 @ SV1 ) @ ( sK104_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5129]) ).
thf(5428,plain,
! [SV144: $i,SV1: $i,SV830: $i,SV742: $i] :
( ( ( ~ ( in @ SV742 @ SV830 ) )
= $true )
| ( ( in @ SV742 @ SV1 )
= $true )
| ( ( in @ SV830 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( SV144
= ( sK244_SY293 @ SV144 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5130]) ).
thf(5429,plain,
! [SV144: $i,SV1: $i,SV831: $i,SV743: $i] :
( ( ( ~ ( in @ SV743 @ SV831 ) )
= $true )
| ( ( in @ SV743 @ SV1 )
= $true )
| ( ( in @ SV831 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV144 @ ( sK244_SY293 @ SV144 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5131]) ).
thf(5430,plain,
! [SV146: $i,SV1: $i,SV832: $i,SV744: $i] :
( ( ( ~ ( in @ SV744 @ SV832 ) )
= $true )
| ( ( in @ SV744 @ SV1 )
= $true )
| ( ( in @ SV832 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK245_SY294 @ SV146 @ SV1 ) @ ( sK105_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5132]) ).
thf(5431,plain,
! [SV146: $i,SV1: $i,SV833: $i,SV745: $i] :
( ( ( ~ ( in @ SV745 @ SV833 ) )
= $true )
| ( ( in @ SV745 @ SV1 )
= $true )
| ( ( in @ SV833 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( SV146
= ( sK245_SY294 @ SV146 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5133]) ).
thf(5432,plain,
! [SV146: $i,SV1: $i,SV834: $i,SV746: $i] :
( ( ( ~ ( in @ SV746 @ SV834 ) )
= $true )
| ( ( in @ SV746 @ SV1 )
= $true )
| ( ( in @ SV834 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV146 @ ( sK245_SY294 @ SV146 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5134]) ).
thf(5433,plain,
! [SV248: $i,SV889: $i,SV1: $i,SV949: $i] :
( ( ( ~ ( in @ SV949 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV889 @ SV949 )
| ( in @ SV889 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK264_SY373 @ SV248 @ SV1 ) @ ( sK128_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5135]) ).
thf(5434,plain,
! [SV248: $i,SV890: $i,SV1: $i,SV950: $i] :
( ( ( ~ ( in @ SV950 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV890 @ SV950 )
| ( in @ SV890 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( SV248
= ( sK264_SY373 @ SV248 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5136]) ).
thf(5435,plain,
! [SV248: $i,SV891: $i,SV1: $i,SV951: $i] :
( ( ( ~ ( in @ SV951 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV891 @ SV951 )
| ( in @ SV891 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV248 @ ( sK264_SY373 @ SV248 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5137]) ).
thf(5436,plain,
! [SV250: $i,SV892: $i,SV1: $i,SV952: $i] :
( ( ( ~ ( in @ SV952 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV892 @ SV952 )
| ( in @ SV892 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK265_SY374 @ SV250 @ SV1 ) @ ( sK129_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5138]) ).
thf(5437,plain,
! [SV250: $i,SV893: $i,SV1: $i,SV953: $i] :
( ( ( ~ ( in @ SV953 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV893 @ SV953 )
| ( in @ SV893 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( SV250
= ( sK265_SY374 @ SV250 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5139]) ).
thf(5438,plain,
! [SV250: $i,SV894: $i,SV1: $i,SV954: $i] :
( ( ( ~ ( in @ SV954 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV894 @ SV954 )
| ( in @ SV894 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV250 @ ( sK265_SY374 @ SV250 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5140]) ).
thf(5439,plain,
! [SV316: $i,SV955: $i,SV1: $i,SV1045: $i] :
( ( ( ~ ( in @ SV1045 @ SV1 )
| ~ ( in @ SV955 @ SV1045 )
| ( in @ SV955 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK280_SY443 @ SV316 @ SV1 ) @ ( sK152_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5141]) ).
thf(5440,plain,
! [SV316: $i,SV956: $i,SV1: $i,SV1046: $i] :
( ( ( ~ ( in @ SV1046 @ SV1 )
| ~ ( in @ SV956 @ SV1046 )
| ( in @ SV956 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( SV316
= ( sK280_SY443 @ SV316 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5142]) ).
thf(5441,plain,
! [SV316: $i,SV957: $i,SV1: $i,SV1047: $i] :
( ( ( ~ ( in @ SV1047 @ SV1 )
| ~ ( in @ SV957 @ SV1047 )
| ( in @ SV957 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK280_SY443 @ SV316 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5143]) ).
thf(5442,plain,
! [SV318: $i,SV958: $i,SV1: $i,SV1048: $i] :
( ( ( ~ ( in @ SV1048 @ SV1 )
| ~ ( in @ SV958 @ SV1048 )
| ( in @ SV958 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK281_SY444 @ SV318 @ SV1 ) @ ( sK153_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5144]) ).
thf(5443,plain,
! [SV318: $i,SV959: $i,SV1: $i,SV1049: $i] :
( ( ( ~ ( in @ SV1049 @ SV1 )
| ~ ( in @ SV959 @ SV1049 )
| ( in @ SV959 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( SV318
= ( sK281_SY444 @ SV318 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5145]) ).
thf(5444,plain,
! [SV318: $i,SV960: $i,SV1: $i,SV1050: $i] :
( ( ( ~ ( in @ SV1050 @ SV1 )
| ~ ( in @ SV960 @ SV1050 )
| ( in @ SV960 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK281_SY444 @ SV318 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5146]) ).
thf(5445,plain,
! [SV320: $i,SV961: $i,SV1: $i,SV1051: $i] :
( ( ( ~ ( in @ SV1051 @ SV1 )
| ~ ( in @ SV961 @ SV1051 )
| ( in @ SV961 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK282_SY445 @ SV320 @ SV1 ) @ ( sK154_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5147]) ).
thf(5446,plain,
! [SV320: $i,SV962: $i,SV1: $i,SV1052: $i] :
( ( ( ~ ( in @ SV1052 @ SV1 )
| ~ ( in @ SV962 @ SV1052 )
| ( in @ SV962 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( SV320
= ( sK282_SY445 @ SV320 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5148]) ).
thf(5447,plain,
! [SV320: $i,SV963: $i,SV1: $i,SV1053: $i] :
( ( ( ~ ( in @ SV1053 @ SV1 )
| ~ ( in @ SV963 @ SV1053 )
| ( in @ SV963 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK282_SY445 @ SV320 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5149]) ).
thf(5448,plain,
! [SV322: $i,SV964: $i,SV1: $i,SV1054: $i] :
( ( ( ~ ( in @ SV1054 @ SV1 )
| ~ ( in @ SV964 @ SV1054 )
| ( in @ SV964 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK283_SY446 @ SV322 @ SV1 ) @ ( sK155_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5150]) ).
thf(5449,plain,
! [SV322: $i,SV965: $i,SV1: $i,SV1055: $i] :
( ( ( ~ ( in @ SV1055 @ SV1 )
| ~ ( in @ SV965 @ SV1055 )
| ( in @ SV965 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( SV322
= ( sK283_SY446 @ SV322 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5151]) ).
thf(5450,plain,
! [SV322: $i,SV966: $i,SV1: $i,SV1056: $i] :
( ( ( ~ ( in @ SV1056 @ SV1 )
| ~ ( in @ SV966 @ SV1056 )
| ( in @ SV966 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK283_SY446 @ SV322 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5152]) ).
thf(5451,plain,
! [SV256: $i,SV895: $i,SV1: $i,SV967: $i] :
( ( ( ~ ( in @ SV967 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV895 @ SV967 )
| ( in @ SV895 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK266_SY379 @ SV256 @ SV1 ) @ ( sK130_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5153]) ).
thf(5452,plain,
! [SV256: $i,SV896: $i,SV1: $i,SV968: $i] :
( ( ( ~ ( in @ SV968 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV896 @ SV968 )
| ( in @ SV896 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( SV256
= ( sK266_SY379 @ SV256 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5154]) ).
thf(5453,plain,
! [SV256: $i,SV897: $i,SV1: $i,SV969: $i] :
( ( ( ~ ( in @ SV969 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV897 @ SV969 )
| ( in @ SV897 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK266_SY379 @ SV256 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5155]) ).
thf(5454,plain,
! [SV258: $i,SV898: $i,SV1: $i,SV970: $i] :
( ( ( ~ ( in @ SV970 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV898 @ SV970 )
| ( in @ SV898 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK267_SY380 @ SV258 @ SV1 ) @ ( sK131_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5156]) ).
thf(5455,plain,
! [SV258: $i,SV899: $i,SV1: $i,SV971: $i] :
( ( ( ~ ( in @ SV971 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV899 @ SV971 )
| ( in @ SV899 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( SV258
= ( sK267_SY380 @ SV258 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5157]) ).
thf(5456,plain,
! [SV258: $i,SV900: $i,SV1: $i,SV972: $i] :
( ( ( ~ ( in @ SV972 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV900 @ SV972 )
| ( in @ SV900 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK267_SY380 @ SV258 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5158]) ).
thf(5457,plain,
! [SV382: $i,SV1057: $i,SV1: $i] :
( ( ( ! [SY881: $i] :
( ~ ( in @ SY881 @ SV1 )
| ~ ( in @ SV1057 @ SY881 )
| ( in @ SV1057 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK296_SY517 @ SV382 @ SV1 ) @ ( sK176_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5159]) ).
thf(5458,plain,
! [SV382: $i,SV1058: $i,SV1: $i] :
( ( ( ! [SY882: $i] :
( ~ ( in @ SY882 @ SV1 )
| ~ ( in @ SV1058 @ SY882 )
| ( in @ SV1058 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( SV382
= ( sK296_SY517 @ SV382 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5160]) ).
thf(5459,plain,
! [SV382: $i,SV1059: $i,SV1: $i] :
( ( ( ! [SY883: $i] :
( ~ ( in @ SY883 @ SV1 )
| ~ ( in @ SV1059 @ SY883 )
| ( in @ SV1059 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV382 @ ( sK296_SY517 @ SV382 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5161]) ).
thf(5460,plain,
! [SV384: $i,SV1060: $i,SV1: $i] :
( ( ( ! [SY884: $i] :
( ~ ( in @ SY884 @ SV1 )
| ~ ( in @ SV1060 @ SY884 )
| ( in @ SV1060 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK297_SY518 @ SV384 @ SV1 ) @ ( sK177_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5162]) ).
thf(5461,plain,
! [SV384: $i,SV1061: $i,SV1: $i] :
( ( ( ! [SY885: $i] :
( ~ ( in @ SY885 @ SV1 )
| ~ ( in @ SV1061 @ SY885 )
| ( in @ SV1061 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( SV384
= ( sK297_SY518 @ SV384 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5163]) ).
thf(5462,plain,
! [SV384: $i,SV1062: $i,SV1: $i] :
( ( ( ! [SY886: $i] :
( ~ ( in @ SY886 @ SV1 )
| ~ ( in @ SV1062 @ SY886 )
| ( in @ SV1062 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV384 @ ( sK297_SY518 @ SV384 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5164]) ).
thf(5463,plain,
! [SV1: $i,SV482: $i] :
( ( ( ~ ( in @ ( sK304_SY573 @ SV482 @ SV1 ) @ ( sK186_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5166]) ).
thf(5464,plain,
! [SV1: $i,SV482: $i] :
( ( ( ( SV482
= ( sK304_SY573 @ SV482 @ SV1 ) )
| ( in @ SV482 @ ( sK304_SY573 @ SV482 @ SV1 ) ) )
= $false )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5166]) ).
thf(5465,plain,
! [SV1: $i,SV484: $i] :
( ( ( ~ ( in @ ( sK305_SY574 @ SV484 @ SV1 ) @ ( sK187_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5168]) ).
thf(5466,plain,
! [SV1: $i,SV484: $i] :
( ( ( ( SV484
= ( sK305_SY574 @ SV484 @ SV1 ) )
| ( in @ SV484 @ ( sK305_SY574 @ SV484 @ SV1 ) ) )
= $false )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5168]) ).
thf(5467,plain,
! [SV1: $i,SV747: $i,SV657: $i] :
( ( ( in @ SV657 @ SV747 )
= $false )
| ( ( in @ SV657 @ SV1 )
= $true )
| ( ( in @ SV747 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK204_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5169]) ).
thf(5468,plain,
! [SV1: $i,SV562: $i] :
( ( ( ~ ( in @ ( sK320_SY625 @ SV562 @ SV1 ) @ ( sK204_SY8 @ SV1 ) )
| ( SV562
= ( sK320_SY625 @ SV562 @ SV1 ) )
| ( in @ SV562 @ ( sK320_SY625 @ SV562 @ SV1 ) ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5170]) ).
thf(5469,plain,
! [SV1: $i,SV748: $i,SV658: $i] :
( ( ( in @ SV658 @ SV748 )
= $false )
| ( ( in @ SV658 @ SV1 )
= $true )
| ( ( in @ SV748 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK205_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5171]) ).
thf(5470,plain,
! [SV1: $i,SV564: $i] :
( ( ( ~ ( in @ ( sK321_SY626 @ SV564 @ SV1 ) @ ( sK205_SY8 @ SV1 ) )
| ( SV564
= ( sK321_SY626 @ SV564 @ SV1 ) )
| ( in @ SV564 @ ( sK321_SY626 @ SV564 @ SV1 ) ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5172]) ).
thf(5471,plain,
! [SV1: $i,SV749: $i,SV659: $i] :
( ( ( in @ SV659 @ SV749 )
= $false )
| ( ( in @ SV659 @ SV1 )
= $true )
| ( ( in @ SV749 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK206_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5173]) ).
thf(5472,plain,
! [SV1: $i,SV566: $i] :
( ( ( ~ ( in @ ( sK322_SY627 @ SV566 @ SV1 ) @ ( sK206_SY8 @ SV1 ) )
| ( SV566
= ( sK322_SY627 @ SV566 @ SV1 ) )
| ( in @ SV566 @ ( sK322_SY627 @ SV566 @ SV1 ) ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5174]) ).
thf(5473,plain,
! [SV1: $i,SV750: $i,SV660: $i] :
( ( ( in @ SV660 @ SV750 )
= $false )
| ( ( in @ SV660 @ SV1 )
= $true )
| ( ( in @ SV750 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( ( sK207_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5175]) ).
thf(5474,plain,
! [SV1: $i,SV568: $i] :
( ( ( ~ ( in @ ( sK323_SY628 @ SV568 @ SV1 ) @ ( sK207_SY8 @ SV1 ) )
| ( SV568
= ( sK323_SY628 @ SV568 @ SV1 ) )
| ( in @ SV568 @ ( sK323_SY628 @ SV568 @ SV1 ) ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5176]) ).
thf(5475,plain,
! [SV1: $i,SV490: $i] :
( ( ( ~ ( in @ ( sK306_SY579 @ SV490 @ SV1 ) @ ( sK188_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5178]) ).
thf(5476,plain,
! [SV1: $i,SV490: $i] :
( ( ( ( SV490
= ( sK306_SY579 @ SV490 @ SV1 ) )
| ( in @ SV490 @ ( sK306_SY579 @ SV490 @ SV1 ) ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5178]) ).
thf(5477,plain,
! [SV1: $i,SV492: $i] :
( ( ( ~ ( in @ ( sK307_SY580 @ SV492 @ SV1 ) @ ( sK189_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5180]) ).
thf(5478,plain,
! [SV1: $i,SV492: $i] :
( ( ( ( SV492
= ( sK307_SY580 @ SV492 @ SV1 ) )
| ( in @ SV492 @ ( sK307_SY580 @ SV492 @ SV1 ) ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5180]) ).
thf(5479,plain,
! [SV386: $i,SV1063: $i,SV1: $i] :
( ( ( ! [SY887: $i] :
( ~ ( in @ SY887 @ SV1 )
| ~ ( in @ SV1063 @ SY887 )
| ( in @ SV1063 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK298_SY519 @ SV386 @ SV1 ) @ ( sK178_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5181]) ).
thf(5480,plain,
! [SV386: $i,SV1064: $i,SV1: $i] :
( ( ( ! [SY888: $i] :
( ~ ( in @ SY888 @ SV1 )
| ~ ( in @ SV1064 @ SY888 )
| ( in @ SV1064 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( SV386
= ( sK298_SY519 @ SV386 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5182]) ).
thf(5481,plain,
! [SV386: $i,SV1065: $i,SV1: $i] :
( ( ( ! [SY889: $i] :
( ~ ( in @ SY889 @ SV1 )
| ~ ( in @ SV1065 @ SY889 )
| ( in @ SV1065 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV386 @ ( sK298_SY519 @ SV386 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5183]) ).
thf(5482,plain,
! [SV388: $i,SV1066: $i,SV1: $i] :
( ( ( ! [SY890: $i] :
( ~ ( in @ SY890 @ SV1 )
| ~ ( in @ SV1066 @ SY890 )
| ( in @ SV1066 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK299_SY520 @ SV388 @ SV1 ) @ ( sK179_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5184]) ).
thf(5483,plain,
! [SV388: $i,SV1067: $i,SV1: $i] :
( ( ( ! [SY891: $i] :
( ~ ( in @ SY891 @ SV1 )
| ~ ( in @ SV1067 @ SY891 )
| ( in @ SV1067 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( SV388
= ( sK299_SY520 @ SV388 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5185]) ).
thf(5484,plain,
! [SV388: $i,SV1068: $i,SV1: $i] :
( ( ( ! [SY892: $i] :
( ~ ( in @ SY892 @ SV1 )
| ~ ( in @ SV1068 @ SY892 )
| ( in @ SV1068 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV388 @ ( sK299_SY520 @ SV388 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5186]) ).
thf(5485,plain,
! [SV1: $i,SV496: $i] :
( ( ( ~ ( in @ ( sK308_SY581 @ SV496 @ SV1 ) @ ( sK190_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5188]) ).
thf(5486,plain,
! [SV1: $i,SV496: $i] :
( ( ( ( SV496
= ( sK308_SY581 @ SV496 @ SV1 ) )
| ( in @ SV496 @ ( sK308_SY581 @ SV496 @ SV1 ) ) )
= $false )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5188]) ).
thf(5487,plain,
! [SV1: $i,SV498: $i] :
( ( ( ~ ( in @ ( sK309_SY582 @ SV498 @ SV1 ) @ ( sK191_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5190]) ).
thf(5488,plain,
! [SV1: $i,SV498: $i] :
( ( ( ( SV498
= ( sK309_SY582 @ SV498 @ SV1 ) )
| ( in @ SV498 @ ( sK309_SY582 @ SV498 @ SV1 ) ) )
= $false )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5190]) ).
thf(5489,plain,
! [SV1: $i,SV751: $i,SV665: $i] :
( ( ( in @ SV665 @ SV751 )
= $false )
| ( ( in @ SV665 @ SV1 )
= $true )
| ( ( in @ SV751 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK208_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5191]) ).
thf(5490,plain,
! [SV1: $i,SV574: $i] :
( ( ( ~ ( in @ ( sK324_SY633 @ SV574 @ SV1 ) @ ( sK208_SY8 @ SV1 ) )
| ( SV574
= ( sK324_SY633 @ SV574 @ SV1 ) )
| ( in @ SV574 @ ( sK324_SY633 @ SV574 @ SV1 ) ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5192]) ).
thf(5491,plain,
! [SV1: $i,SV752: $i,SV666: $i] :
( ( ( in @ SV666 @ SV752 )
= $false )
| ( ( in @ SV666 @ SV1 )
= $true )
| ( ( in @ SV752 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK209_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5193]) ).
thf(5492,plain,
! [SV1: $i,SV576: $i] :
( ( ( ~ ( in @ ( sK325_SY634 @ SV576 @ SV1 ) @ ( sK209_SY8 @ SV1 ) )
| ( SV576
= ( sK325_SY634 @ SV576 @ SV1 ) )
| ( in @ SV576 @ ( sK325_SY634 @ SV576 @ SV1 ) ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5194]) ).
thf(5493,plain,
! [SV1: $i,SV753: $i,SV667: $i] :
( ( ( in @ SV667 @ SV753 )
= $false )
| ( ( in @ SV667 @ SV1 )
= $true )
| ( ( in @ SV753 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK210_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5195]) ).
thf(5494,plain,
! [SV1: $i,SV578: $i] :
( ( ( ~ ( in @ ( sK326_SY635 @ SV578 @ SV1 ) @ ( sK210_SY8 @ SV1 ) )
| ( SV578
= ( sK326_SY635 @ SV578 @ SV1 ) )
| ( in @ SV578 @ ( sK326_SY635 @ SV578 @ SV1 ) ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5196]) ).
thf(5495,plain,
! [SV1: $i,SV754: $i,SV668: $i] :
( ( ( in @ SV668 @ SV754 )
= $false )
| ( ( in @ SV668 @ SV1 )
= $true )
| ( ( in @ SV754 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( ( sK211_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5197]) ).
thf(5496,plain,
! [SV1: $i,SV580: $i] :
( ( ( ~ ( in @ ( sK327_SY636 @ SV580 @ SV1 ) @ ( sK211_SY8 @ SV1 ) )
| ( SV580
= ( sK327_SY636 @ SV580 @ SV1 ) )
| ( in @ SV580 @ ( sK327_SY636 @ SV580 @ SV1 ) ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5198]) ).
thf(5497,plain,
! [SV1: $i,SV504: $i] :
( ( ( ~ ( in @ ( sK310_SY587 @ SV504 @ SV1 ) @ ( sK192_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5200]) ).
thf(5498,plain,
! [SV1: $i,SV504: $i] :
( ( ( ( SV504
= ( sK310_SY587 @ SV504 @ SV1 ) )
| ( in @ SV504 @ ( sK310_SY587 @ SV504 @ SV1 ) ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5200]) ).
thf(5499,plain,
! [SV1: $i,SV506: $i] :
( ( ( ~ ( in @ ( sK311_SY588 @ SV506 @ SV1 ) @ ( sK193_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5202]) ).
thf(5500,plain,
! [SV1: $i,SV506: $i] :
( ( ( ( SV506
= ( sK311_SY588 @ SV506 @ SV1 ) )
| ( in @ SV506 @ ( sK311_SY588 @ SV506 @ SV1 ) ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5202]) ).
thf(5501,plain,
! [SV148: $i,SV1: $i,SV835: $i,SV755: $i] :
( ( ( ~ ( in @ SV755 @ SV835 ) )
= $true )
| ( ( in @ SV755 @ SV1 )
= $true )
| ( ( in @ SV835 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK246_SY303 @ SV148 @ SV1 ) @ ( sK108_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5203]) ).
thf(5502,plain,
! [SV148: $i,SV1: $i,SV836: $i,SV756: $i] :
( ( ( ~ ( in @ SV756 @ SV836 ) )
= $true )
| ( ( in @ SV756 @ SV1 )
= $true )
| ( ( in @ SV836 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( SV148
= ( sK246_SY303 @ SV148 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5204]) ).
thf(5503,plain,
! [SV148: $i,SV1: $i,SV837: $i,SV757: $i] :
( ( ( ~ ( in @ SV757 @ SV837 ) )
= $true )
| ( ( in @ SV757 @ SV1 )
= $true )
| ( ( in @ SV837 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV148 @ ( sK246_SY303 @ SV148 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5205]) ).
thf(5504,plain,
! [SV150: $i,SV1: $i,SV838: $i,SV758: $i] :
( ( ( ~ ( in @ SV758 @ SV838 ) )
= $true )
| ( ( in @ SV758 @ SV1 )
= $true )
| ( ( in @ SV838 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK247_SY304 @ SV150 @ SV1 ) @ ( sK109_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5206]) ).
thf(5505,plain,
! [SV150: $i,SV1: $i,SV839: $i,SV759: $i] :
( ( ( ~ ( in @ SV759 @ SV839 ) )
= $true )
| ( ( in @ SV759 @ SV1 )
= $true )
| ( ( in @ SV839 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( SV150
= ( sK247_SY304 @ SV150 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5207]) ).
thf(5506,plain,
! [SV150: $i,SV1: $i,SV840: $i,SV760: $i] :
( ( ( ~ ( in @ SV760 @ SV840 ) )
= $true )
| ( ( in @ SV760 @ SV1 )
= $true )
| ( ( in @ SV840 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV150 @ ( sK247_SY304 @ SV150 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5208]) ).
thf(5507,plain,
! [SV262: $i,SV901: $i,SV1: $i,SV973: $i] :
( ( ( ~ ( in @ SV973 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV901 @ SV973 )
| ( in @ SV901 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK268_SY397 @ SV262 @ SV1 ) @ ( sK136_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5209]) ).
thf(5508,plain,
! [SV262: $i,SV902: $i,SV1: $i,SV974: $i] :
( ( ( ~ ( in @ SV974 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV902 @ SV974 )
| ( in @ SV902 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( SV262
= ( sK268_SY397 @ SV262 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5210]) ).
thf(5509,plain,
! [SV262: $i,SV903: $i,SV1: $i,SV975: $i] :
( ( ( ~ ( in @ SV975 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV903 @ SV975 )
| ( in @ SV903 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV262 @ ( sK268_SY397 @ SV262 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5211]) ).
thf(5510,plain,
! [SV264: $i,SV904: $i,SV1: $i,SV976: $i] :
( ( ( ~ ( in @ SV976 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV904 @ SV976 )
| ( in @ SV904 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK269_SY398 @ SV264 @ SV1 ) @ ( sK137_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5212]) ).
thf(5511,plain,
! [SV264: $i,SV905: $i,SV1: $i,SV977: $i] :
( ( ( ~ ( in @ SV977 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV905 @ SV977 )
| ( in @ SV905 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( SV264
= ( sK269_SY398 @ SV264 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5213]) ).
thf(5512,plain,
! [SV264: $i,SV906: $i,SV1: $i,SV978: $i] :
( ( ( ~ ( in @ SV978 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV906 @ SV978 )
| ( in @ SV906 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV264 @ ( sK269_SY398 @ SV264 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5214]) ).
thf(5513,plain,
! [SV332: $i,SV979: $i,SV1: $i,SV1069: $i] :
( ( ( ~ ( in @ SV1069 @ SV1 )
| ~ ( in @ SV979 @ SV1069 )
| ( in @ SV979 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK284_SY471 @ SV332 @ SV1 ) @ ( sK160_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5215]) ).
thf(5514,plain,
! [SV332: $i,SV980: $i,SV1: $i,SV1070: $i] :
( ( ( ~ ( in @ SV1070 @ SV1 )
| ~ ( in @ SV980 @ SV1070 )
| ( in @ SV980 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( SV332
= ( sK284_SY471 @ SV332 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5216]) ).
thf(5515,plain,
! [SV332: $i,SV981: $i,SV1: $i,SV1071: $i] :
( ( ( ~ ( in @ SV1071 @ SV1 )
| ~ ( in @ SV981 @ SV1071 )
| ( in @ SV981 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK284_SY471 @ SV332 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5217]) ).
thf(5516,plain,
! [SV334: $i,SV982: $i,SV1: $i,SV1072: $i] :
( ( ( ~ ( in @ SV1072 @ SV1 )
| ~ ( in @ SV982 @ SV1072 )
| ( in @ SV982 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK285_SY472 @ SV334 @ SV1 ) @ ( sK161_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5218]) ).
thf(5517,plain,
! [SV334: $i,SV983: $i,SV1: $i,SV1073: $i] :
( ( ( ~ ( in @ SV1073 @ SV1 )
| ~ ( in @ SV983 @ SV1073 )
| ( in @ SV983 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( SV334
= ( sK285_SY472 @ SV334 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5219]) ).
thf(5518,plain,
! [SV334: $i,SV984: $i,SV1: $i,SV1074: $i] :
( ( ( ~ ( in @ SV1074 @ SV1 )
| ~ ( in @ SV984 @ SV1074 )
| ( in @ SV984 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK285_SY472 @ SV334 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5220]) ).
thf(5519,plain,
! [SV336: $i,SV985: $i,SV1: $i,SV1075: $i] :
( ( ( ~ ( in @ SV1075 @ SV1 )
| ~ ( in @ SV985 @ SV1075 )
| ( in @ SV985 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK286_SY473 @ SV336 @ SV1 ) @ ( sK162_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5221]) ).
thf(5520,plain,
! [SV336: $i,SV986: $i,SV1: $i,SV1076: $i] :
( ( ( ~ ( in @ SV1076 @ SV1 )
| ~ ( in @ SV986 @ SV1076 )
| ( in @ SV986 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( SV336
= ( sK286_SY473 @ SV336 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5222]) ).
thf(5521,plain,
! [SV336: $i,SV987: $i,SV1: $i,SV1077: $i] :
( ( ( ~ ( in @ SV1077 @ SV1 )
| ~ ( in @ SV987 @ SV1077 )
| ( in @ SV987 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK286_SY473 @ SV336 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5223]) ).
thf(5522,plain,
! [SV338: $i,SV988: $i,SV1: $i,SV1078: $i] :
( ( ( ~ ( in @ SV1078 @ SV1 )
| ~ ( in @ SV988 @ SV1078 )
| ( in @ SV988 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK287_SY474 @ SV338 @ SV1 ) @ ( sK163_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5224]) ).
thf(5523,plain,
! [SV338: $i,SV989: $i,SV1: $i,SV1079: $i] :
( ( ( ~ ( in @ SV1079 @ SV1 )
| ~ ( in @ SV989 @ SV1079 )
| ( in @ SV989 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( SV338
= ( sK287_SY474 @ SV338 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5225]) ).
thf(5524,plain,
! [SV338: $i,SV990: $i,SV1: $i,SV1080: $i] :
( ( ( ~ ( in @ SV1080 @ SV1 )
| ~ ( in @ SV990 @ SV1080 )
| ( in @ SV990 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK287_SY474 @ SV338 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5226]) ).
thf(5525,plain,
! [SV270: $i,SV907: $i,SV1: $i,SV991: $i] :
( ( ( ~ ( in @ SV991 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV907 @ SV991 )
| ( in @ SV907 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK270_SY403 @ SV270 @ SV1 ) @ ( sK138_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5227]) ).
thf(5526,plain,
! [SV270: $i,SV908: $i,SV1: $i,SV992: $i] :
( ( ( ~ ( in @ SV992 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV908 @ SV992 )
| ( in @ SV908 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( SV270
= ( sK270_SY403 @ SV270 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5228]) ).
thf(5527,plain,
! [SV270: $i,SV909: $i,SV1: $i,SV993: $i] :
( ( ( ~ ( in @ SV993 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV909 @ SV993 )
| ( in @ SV909 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK270_SY403 @ SV270 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5229]) ).
thf(5528,plain,
! [SV272: $i,SV910: $i,SV1: $i,SV994: $i] :
( ( ( ~ ( in @ SV994 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV910 @ SV994 )
| ( in @ SV910 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK271_SY404 @ SV272 @ SV1 ) @ ( sK139_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5230]) ).
thf(5529,plain,
! [SV272: $i,SV911: $i,SV1: $i,SV995: $i] :
( ( ( ~ ( in @ SV995 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV911 @ SV995 )
| ( in @ SV911 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( SV272
= ( sK271_SY404 @ SV272 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5231]) ).
thf(5530,plain,
! [SV272: $i,SV912: $i,SV1: $i,SV996: $i] :
( ( ( ~ ( in @ SV996 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV912 @ SV996 )
| ( in @ SV912 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK271_SY404 @ SV272 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5232]) ).
thf(5531,plain,
! [SV102: $i,SV1: $i,SV761: $i,SV677: $i] :
( ( ( in @ SV677 @ SV761 )
= $false )
| ( ( in @ SV677 @ SV1 )
= $true )
| ( ( in @ SV761 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK236_SY249 @ SV102 @ SV1 ) @ ( sK92_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5239]) ).
thf(5532,plain,
! [SV102: $i,SV1: $i,SV762: $i,SV678: $i] :
( ( ( in @ SV678 @ SV762 )
= $false )
| ( ( in @ SV678 @ SV1 )
= $true )
| ( ( in @ SV762 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( SV102
= ( sK236_SY249 @ SV102 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5240]) ).
thf(5533,plain,
! [SV102: $i,SV1: $i,SV763: $i,SV679: $i] :
( ( ( in @ SV679 @ SV763 )
= $false )
| ( ( in @ SV679 @ SV1 )
= $true )
| ( ( in @ SV763 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK92_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV102 @ ( sK236_SY249 @ SV102 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5241]) ).
thf(5534,plain,
! [SV104: $i,SV1: $i,SV764: $i,SV680: $i] :
( ( ( in @ SV680 @ SV764 )
= $false )
| ( ( in @ SV680 @ SV1 )
= $true )
| ( ( in @ SV764 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK237_SY250 @ SV104 @ SV1 ) @ ( sK93_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5242]) ).
thf(5535,plain,
! [SV104: $i,SV1: $i,SV765: $i,SV681: $i] :
( ( ( in @ SV681 @ SV765 )
= $false )
| ( ( in @ SV681 @ SV1 )
= $true )
| ( ( in @ SV765 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( SV104
= ( sK237_SY250 @ SV104 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5243]) ).
thf(5536,plain,
! [SV104: $i,SV1: $i,SV766: $i,SV682: $i] :
( ( ( in @ SV682 @ SV766 )
= $false )
| ( ( in @ SV682 @ SV1 )
= $true )
| ( ( in @ SV766 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK38_SY7 @ SV1 ) @ ( sK38_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK12_SY5 @ SV1 )
= ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK93_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV104 @ ( sK237_SY250 @ SV104 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5244]) ).
thf(5537,plain,
! [SV106: $i,SV1: $i,SV767: $i,SV683: $i] :
( ( ( in @ SV683 @ SV767 )
= $false )
| ( ( in @ SV683 @ SV1 )
= $true )
| ( ( in @ SV767 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK238_SY251 @ SV106 @ SV1 ) @ ( sK94_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5245]) ).
thf(5538,plain,
! [SV106: $i,SV1: $i,SV768: $i,SV684: $i] :
( ( ( in @ SV684 @ SV768 )
= $false )
| ( ( in @ SV684 @ SV1 )
= $true )
| ( ( in @ SV768 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( SV106
= ( sK238_SY251 @ SV106 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5246]) ).
thf(5539,plain,
! [SV106: $i,SV1: $i,SV769: $i,SV685: $i] :
( ( ( in @ SV685 @ SV769 )
= $false )
| ( ( in @ SV685 @ SV1 )
= $true )
| ( ( in @ SV769 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK94_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV106 @ ( sK238_SY251 @ SV106 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5247]) ).
thf(5540,plain,
! [SV108: $i,SV1: $i,SV770: $i,SV686: $i] :
( ( ( in @ SV686 @ SV770 )
= $false )
| ( ( in @ SV686 @ SV1 )
= $true )
| ( ( in @ SV770 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK239_SY252 @ SV108 @ SV1 ) @ ( sK95_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5248]) ).
thf(5541,plain,
! [SV108: $i,SV1: $i,SV771: $i,SV687: $i] :
( ( ( in @ SV687 @ SV771 )
= $false )
| ( ( in @ SV687 @ SV1 )
= $true )
| ( ( in @ SV771 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( SV108
= ( sK239_SY252 @ SV108 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5249]) ).
thf(5542,plain,
! [SV108: $i,SV1: $i,SV772: $i,SV688: $i] :
( ( ( in @ SV688 @ SV772 )
= $false )
| ( ( in @ SV688 @ SV1 )
= $true )
| ( ( in @ SV772 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK39_SY7 @ SV1 ) @ ( sK39_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK12_SY5 @ SV1 ) @ ( sK16_SY30 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK95_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV108 @ ( sK239_SY252 @ SV108 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5250]) ).
thf(5543,plain,
! [SV162: $i,SV1: $i,SV841: $i,SV773: $i] :
( ( ( ~ ( in @ SV773 @ SV841 ) )
= $true )
| ( ( in @ SV773 @ SV1 )
= $true )
| ( ( in @ SV841 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK248_SY309 @ SV162 @ SV1 ) @ ( sK110_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5263]) ).
thf(5544,plain,
! [SV162: $i,SV1: $i,SV842: $i,SV774: $i] :
( ( ( ~ ( in @ SV774 @ SV842 ) )
= $true )
| ( ( in @ SV774 @ SV1 )
= $true )
| ( ( in @ SV842 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( SV162
= ( sK248_SY309 @ SV162 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5264]) ).
thf(5545,plain,
! [SV162: $i,SV1: $i,SV843: $i,SV775: $i] :
( ( ( ~ ( in @ SV775 @ SV843 ) )
= $true )
| ( ( in @ SV775 @ SV1 )
= $true )
| ( ( in @ SV843 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV162 @ ( sK248_SY309 @ SV162 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5265]) ).
thf(5546,plain,
! [SV164: $i,SV1: $i,SV844: $i,SV776: $i] :
( ( ( ~ ( in @ SV776 @ SV844 ) )
= $true )
| ( ( in @ SV776 @ SV1 )
= $true )
| ( ( in @ SV844 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK249_SY310 @ SV164 @ SV1 ) @ ( sK111_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5266]) ).
thf(5547,plain,
! [SV164: $i,SV1: $i,SV845: $i,SV777: $i] :
( ( ( ~ ( in @ SV777 @ SV845 ) )
= $true )
| ( ( in @ SV777 @ SV1 )
= $true )
| ( ( in @ SV845 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( SV164
= ( sK249_SY310 @ SV164 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5267]) ).
thf(5548,plain,
! [SV164: $i,SV1: $i,SV846: $i,SV778: $i] :
( ( ( ~ ( in @ SV778 @ SV846 ) )
= $true )
| ( ( in @ SV778 @ SV1 )
= $true )
| ( ( in @ SV846 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV164 @ ( sK249_SY310 @ SV164 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5268]) ).
thf(5549,plain,
! [SV216: $i,SV847: $i,SV1: $i,SV913: $i] :
( ( ( in @ SV913 @ SV1 )
= $false )
| ( ( ~ ( in @ SV847 @ SV913 )
| ( in @ SV847 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK260_SY351 @ SV216 @ SV1 ) @ ( sK124_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5269]) ).
thf(5550,plain,
! [SV216: $i,SV848: $i,SV1: $i,SV914: $i] :
( ( ( in @ SV914 @ SV1 )
= $false )
| ( ( ~ ( in @ SV848 @ SV914 )
| ( in @ SV848 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( SV216
= ( sK260_SY351 @ SV216 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5270]) ).
thf(5551,plain,
! [SV216: $i,SV849: $i,SV1: $i,SV915: $i] :
( ( ( in @ SV915 @ SV1 )
= $false )
| ( ( ~ ( in @ SV849 @ SV915 )
| ( in @ SV849 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK260_SY351 @ SV216 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5271]) ).
thf(5552,plain,
! [SV218: $i,SV850: $i,SV1: $i,SV916: $i] :
( ( ( in @ SV916 @ SV1 )
= $false )
| ( ( ~ ( in @ SV850 @ SV916 )
| ( in @ SV850 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK261_SY352 @ SV218 @ SV1 ) @ ( sK125_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5272]) ).
thf(5553,plain,
! [SV218: $i,SV851: $i,SV1: $i,SV917: $i] :
( ( ( in @ SV917 @ SV1 )
= $false )
| ( ( ~ ( in @ SV851 @ SV917 )
| ( in @ SV851 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( SV218
= ( sK261_SY352 @ SV218 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5273]) ).
thf(5554,plain,
! [SV218: $i,SV852: $i,SV1: $i,SV918: $i] :
( ( ( in @ SV918 @ SV1 )
= $false )
| ( ( ~ ( in @ SV852 @ SV918 )
| ( in @ SV852 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK261_SY352 @ SV218 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5274]) ).
thf(5555,plain,
! [SV220: $i,SV853: $i,SV1: $i,SV919: $i] :
( ( ( in @ SV919 @ SV1 )
= $false )
| ( ( ~ ( in @ SV853 @ SV919 )
| ( in @ SV853 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK262_SY353 @ SV220 @ SV1 ) @ ( sK126_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5275]) ).
thf(5556,plain,
! [SV220: $i,SV854: $i,SV1: $i,SV920: $i] :
( ( ( in @ SV920 @ SV1 )
= $false )
| ( ( ~ ( in @ SV854 @ SV920 )
| ( in @ SV854 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( SV220
= ( sK262_SY353 @ SV220 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5276]) ).
thf(5557,plain,
! [SV220: $i,SV855: $i,SV1: $i,SV921: $i] :
( ( ( in @ SV921 @ SV1 )
= $false )
| ( ( ~ ( in @ SV855 @ SV921 )
| ( in @ SV855 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK262_SY353 @ SV220 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5277]) ).
thf(5558,plain,
! [SV222: $i,SV856: $i,SV1: $i,SV922: $i] :
( ( ( in @ SV922 @ SV1 )
= $false )
| ( ( ~ ( in @ SV856 @ SV922 )
| ( in @ SV856 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK263_SY354 @ SV222 @ SV1 ) @ ( sK127_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5278]) ).
thf(5559,plain,
! [SV222: $i,SV857: $i,SV1: $i,SV923: $i] :
( ( ( in @ SV923 @ SV1 )
= $false )
| ( ( ~ ( in @ SV857 @ SV923 )
| ( in @ SV857 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( SV222
= ( sK263_SY354 @ SV222 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5279]) ).
thf(5560,plain,
! [SV222: $i,SV858: $i,SV1: $i,SV924: $i] :
( ( ( in @ SV924 @ SV1 )
= $false )
| ( ( ~ ( in @ SV858 @ SV924 )
| ( in @ SV858 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK263_SY354 @ SV222 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5280]) ).
thf(5561,plain,
! [SV170: $i,SV1: $i,SV859: $i,SV779: $i] :
( ( ( ~ ( in @ SV779 @ SV859 ) )
= $true )
| ( ( in @ SV779 @ SV1 )
= $true )
| ( ( in @ SV859 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK250_SY315 @ SV170 @ SV1 ) @ ( sK112_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5281]) ).
thf(5562,plain,
! [SV170: $i,SV1: $i,SV860: $i,SV780: $i] :
( ( ( ~ ( in @ SV780 @ SV860 ) )
= $true )
| ( ( in @ SV780 @ SV1 )
= $true )
| ( ( in @ SV860 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( SV170
= ( sK250_SY315 @ SV170 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5282]) ).
thf(5563,plain,
! [SV170: $i,SV1: $i,SV861: $i,SV781: $i] :
( ( ( ~ ( in @ SV781 @ SV861 ) )
= $true )
| ( ( in @ SV781 @ SV1 )
= $true )
| ( ( in @ SV861 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK250_SY315 @ SV170 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5283]) ).
thf(5564,plain,
! [SV172: $i,SV1: $i,SV862: $i,SV782: $i] :
( ( ( ~ ( in @ SV782 @ SV862 ) )
= $true )
| ( ( in @ SV782 @ SV1 )
= $true )
| ( ( in @ SV862 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK251_SY316 @ SV172 @ SV1 ) @ ( sK113_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5284]) ).
thf(5565,plain,
! [SV172: $i,SV1: $i,SV863: $i,SV783: $i] :
( ( ( ~ ( in @ SV783 @ SV863 ) )
= $true )
| ( ( in @ SV783 @ SV1 )
= $true )
| ( ( in @ SV863 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( SV172
= ( sK251_SY316 @ SV172 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5285]) ).
thf(5566,plain,
! [SV172: $i,SV1: $i,SV864: $i,SV784: $i] :
( ( ( ~ ( in @ SV784 @ SV864 ) )
= $true )
| ( ( in @ SV784 @ SV1 )
= $true )
| ( ( in @ SV864 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK251_SY316 @ SV172 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5286]) ).
thf(5567,plain,
! [SV174: $i,SV1: $i,SV865: $i,SV785: $i] :
( ( ( ~ ( in @ SV785 @ SV865 ) )
= $true )
| ( ( in @ SV785 @ SV1 )
= $true )
| ( ( in @ SV865 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK252_SY317 @ SV174 @ SV1 ) @ ( sK114_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5287]) ).
thf(5568,plain,
! [SV174: $i,SV1: $i,SV866: $i,SV786: $i] :
( ( ( ~ ( in @ SV786 @ SV866 ) )
= $true )
| ( ( in @ SV786 @ SV1 )
= $true )
| ( ( in @ SV866 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( SV174
= ( sK252_SY317 @ SV174 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5288]) ).
thf(5569,plain,
! [SV174: $i,SV1: $i,SV867: $i,SV787: $i] :
( ( ( ~ ( in @ SV787 @ SV867 ) )
= $true )
| ( ( in @ SV787 @ SV1 )
= $true )
| ( ( in @ SV867 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV174 @ ( sK252_SY317 @ SV174 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5289]) ).
thf(5570,plain,
! [SV176: $i,SV1: $i,SV868: $i,SV788: $i] :
( ( ( ~ ( in @ SV788 @ SV868 ) )
= $true )
| ( ( in @ SV788 @ SV1 )
= $true )
| ( ( in @ SV868 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK253_SY318 @ SV176 @ SV1 ) @ ( sK115_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5290]) ).
thf(5571,plain,
! [SV176: $i,SV1: $i,SV869: $i,SV789: $i] :
( ( ( ~ ( in @ SV789 @ SV869 ) )
= $true )
| ( ( in @ SV789 @ SV1 )
= $true )
| ( ( in @ SV869 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( SV176
= ( sK253_SY318 @ SV176 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5291]) ).
thf(5572,plain,
! [SV176: $i,SV1: $i,SV870: $i,SV790: $i] :
( ( ( ~ ( in @ SV790 @ SV870 ) )
= $true )
| ( ( in @ SV790 @ SV1 )
= $true )
| ( ( in @ SV870 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV176 @ ( sK253_SY318 @ SV176 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5292]) ).
thf(5573,plain,
! [SV284: $i,SV925: $i,SV1: $i,SV997: $i] :
( ( ( ~ ( in @ SV997 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV925 @ SV997 )
| ( in @ SV925 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK272_SY409 @ SV284 @ SV1 ) @ ( sK140_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5293]) ).
thf(5574,plain,
! [SV284: $i,SV926: $i,SV1: $i,SV998: $i] :
( ( ( ~ ( in @ SV998 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV926 @ SV998 )
| ( in @ SV926 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( SV284
= ( sK272_SY409 @ SV284 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5294]) ).
thf(5575,plain,
! [SV284: $i,SV927: $i,SV1: $i,SV999: $i] :
( ( ( ~ ( in @ SV999 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV927 @ SV999 )
| ( in @ SV927 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV284 @ ( sK272_SY409 @ SV284 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5295]) ).
thf(5576,plain,
! [SV286: $i,SV928: $i,SV1: $i,SV1000: $i] :
( ( ( ~ ( in @ SV1000 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV928 @ SV1000 )
| ( in @ SV928 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK273_SY410 @ SV286 @ SV1 ) @ ( sK141_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5296]) ).
thf(5577,plain,
! [SV286: $i,SV929: $i,SV1: $i,SV1001: $i] :
( ( ( ~ ( in @ SV1001 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV929 @ SV1001 )
| ( in @ SV929 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( SV286
= ( sK273_SY410 @ SV286 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5297]) ).
thf(5578,plain,
! [SV286: $i,SV930: $i,SV1: $i,SV1002: $i] :
( ( ( ~ ( in @ SV1002 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV930 @ SV1002 )
| ( in @ SV930 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV286 @ ( sK273_SY410 @ SV286 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5298]) ).
thf(5579,plain,
! [SV348: $i,SV1003: $i,SV1: $i,SV1081: $i] :
( ( ( ~ ( in @ SV1081 @ SV1 )
| ~ ( in @ SV1003 @ SV1081 )
| ( in @ SV1003 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK288_SY479 @ SV348 @ SV1 ) @ ( sK164_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5299]) ).
thf(5580,plain,
! [SV348: $i,SV1004: $i,SV1: $i,SV1082: $i] :
( ( ( ~ ( in @ SV1082 @ SV1 )
| ~ ( in @ SV1004 @ SV1082 )
| ( in @ SV1004 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( SV348
= ( sK288_SY479 @ SV348 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5300]) ).
thf(5581,plain,
! [SV348: $i,SV1005: $i,SV1: $i,SV1083: $i] :
( ( ( ~ ( in @ SV1083 @ SV1 )
| ~ ( in @ SV1005 @ SV1083 )
| ( in @ SV1005 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK288_SY479 @ SV348 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5301]) ).
thf(5582,plain,
! [SV350: $i,SV1006: $i,SV1: $i,SV1084: $i] :
( ( ( ~ ( in @ SV1084 @ SV1 )
| ~ ( in @ SV1006 @ SV1084 )
| ( in @ SV1006 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK289_SY480 @ SV350 @ SV1 ) @ ( sK165_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5302]) ).
thf(5583,plain,
! [SV350: $i,SV1007: $i,SV1: $i,SV1085: $i] :
( ( ( ~ ( in @ SV1085 @ SV1 )
| ~ ( in @ SV1007 @ SV1085 )
| ( in @ SV1007 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( SV350
= ( sK289_SY480 @ SV350 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5303]) ).
thf(5584,plain,
! [SV350: $i,SV1008: $i,SV1: $i,SV1086: $i] :
( ( ( ~ ( in @ SV1086 @ SV1 )
| ~ ( in @ SV1008 @ SV1086 )
| ( in @ SV1008 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK289_SY480 @ SV350 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5304]) ).
thf(5585,plain,
! [SV352: $i,SV1009: $i,SV1: $i,SV1087: $i] :
( ( ( ~ ( in @ SV1087 @ SV1 )
| ~ ( in @ SV1009 @ SV1087 )
| ( in @ SV1009 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK290_SY481 @ SV352 @ SV1 ) @ ( sK166_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5305]) ).
thf(5586,plain,
! [SV352: $i,SV1010: $i,SV1: $i,SV1088: $i] :
( ( ( ~ ( in @ SV1088 @ SV1 )
| ~ ( in @ SV1010 @ SV1088 )
| ( in @ SV1010 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( SV352
= ( sK290_SY481 @ SV352 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5306]) ).
thf(5587,plain,
! [SV352: $i,SV1011: $i,SV1: $i,SV1089: $i] :
( ( ( ~ ( in @ SV1089 @ SV1 )
| ~ ( in @ SV1011 @ SV1089 )
| ( in @ SV1011 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK290_SY481 @ SV352 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5307]) ).
thf(5588,plain,
! [SV354: $i,SV1012: $i,SV1: $i,SV1090: $i] :
( ( ( ~ ( in @ SV1090 @ SV1 )
| ~ ( in @ SV1012 @ SV1090 )
| ( in @ SV1012 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK291_SY482 @ SV354 @ SV1 ) @ ( sK167_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5308]) ).
thf(5589,plain,
! [SV354: $i,SV1013: $i,SV1: $i,SV1091: $i] :
( ( ( ~ ( in @ SV1091 @ SV1 )
| ~ ( in @ SV1013 @ SV1091 )
| ( in @ SV1013 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( SV354
= ( sK291_SY482 @ SV354 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5309]) ).
thf(5590,plain,
! [SV354: $i,SV1014: $i,SV1: $i,SV1092: $i] :
( ( ( ~ ( in @ SV1092 @ SV1 )
| ~ ( in @ SV1014 @ SV1092 )
| ( in @ SV1014 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK291_SY482 @ SV354 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5310]) ).
thf(5591,plain,
! [SV292: $i,SV931: $i,SV1: $i,SV1015: $i] :
( ( ( ~ ( in @ SV1015 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV931 @ SV1015 )
| ( in @ SV931 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK274_SY415 @ SV292 @ SV1 ) @ ( sK142_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5311]) ).
thf(5592,plain,
! [SV292: $i,SV932: $i,SV1: $i,SV1016: $i] :
( ( ( ~ ( in @ SV1016 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV932 @ SV1016 )
| ( in @ SV932 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( SV292
= ( sK274_SY415 @ SV292 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5312]) ).
thf(5593,plain,
! [SV292: $i,SV933: $i,SV1: $i,SV1017: $i] :
( ( ( ~ ( in @ SV1017 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV933 @ SV1017 )
| ( in @ SV933 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK274_SY415 @ SV292 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5313]) ).
thf(5594,plain,
! [SV294: $i,SV934: $i,SV1: $i,SV1018: $i] :
( ( ( ~ ( in @ SV1018 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV934 @ SV1018 )
| ( in @ SV934 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK275_SY416 @ SV294 @ SV1 ) @ ( sK143_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5314]) ).
thf(5595,plain,
! [SV294: $i,SV935: $i,SV1: $i,SV1019: $i] :
( ( ( ~ ( in @ SV1019 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV935 @ SV1019 )
| ( in @ SV935 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( SV294
= ( sK275_SY416 @ SV294 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5315]) ).
thf(5596,plain,
! [SV294: $i,SV936: $i,SV1: $i,SV1020: $i] :
( ( ( ~ ( in @ SV1020 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV936 @ SV1020 )
| ( in @ SV936 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK275_SY416 @ SV294 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5316]) ).
thf(5597,plain,
! [SV406: $i,SV1093: $i,SV1: $i] :
( ( ( ! [SY893: $i] :
( ~ ( in @ SY893 @ SV1 )
| ~ ( in @ SV1093 @ SY893 )
| ( in @ SV1093 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK300_SY529 @ SV406 @ SV1 ) @ ( sK180_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5317]) ).
thf(5598,plain,
! [SV406: $i,SV1094: $i,SV1: $i] :
( ( ( ! [SY894: $i] :
( ~ ( in @ SY894 @ SV1 )
| ~ ( in @ SV1094 @ SY894 )
| ( in @ SV1094 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( SV406
= ( sK300_SY529 @ SV406 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5318]) ).
thf(5599,plain,
! [SV406: $i,SV1095: $i,SV1: $i] :
( ( ( ! [SY895: $i] :
( ~ ( in @ SY895 @ SV1 )
| ~ ( in @ SV1095 @ SY895 )
| ( in @ SV1095 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV406 @ ( sK300_SY529 @ SV406 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5319]) ).
thf(5600,plain,
! [SV408: $i,SV1096: $i,SV1: $i] :
( ( ( ! [SY896: $i] :
( ~ ( in @ SY896 @ SV1 )
| ~ ( in @ SV1096 @ SY896 )
| ( in @ SV1096 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK301_SY530 @ SV408 @ SV1 ) @ ( sK181_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5320]) ).
thf(5601,plain,
! [SV408: $i,SV1097: $i,SV1: $i] :
( ( ( ! [SY897: $i] :
( ~ ( in @ SY897 @ SV1 )
| ~ ( in @ SV1097 @ SY897 )
| ( in @ SV1097 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( SV408
= ( sK301_SY530 @ SV408 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5321]) ).
thf(5602,plain,
! [SV408: $i,SV1098: $i,SV1: $i] :
( ( ( ! [SY898: $i] :
( ~ ( in @ SY898 @ SV1 )
| ~ ( in @ SV1098 @ SY898 )
| ( in @ SV1098 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV408 @ ( sK301_SY530 @ SV408 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5322]) ).
thf(5603,plain,
! [SV1: $i,SV516: $i] :
( ( ( ~ ( in @ ( sK312_SY589 @ SV516 @ SV1 ) @ ( sK196_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5324]) ).
thf(5604,plain,
! [SV1: $i,SV516: $i] :
( ( ( ( SV516
= ( sK312_SY589 @ SV516 @ SV1 ) )
| ( in @ SV516 @ ( sK312_SY589 @ SV516 @ SV1 ) ) )
= $false )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5324]) ).
thf(5605,plain,
! [SV1: $i,SV518: $i] :
( ( ( ~ ( in @ ( sK313_SY590 @ SV518 @ SV1 ) @ ( sK197_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5326]) ).
thf(5606,plain,
! [SV1: $i,SV518: $i] :
( ( ( ( SV518
= ( sK313_SY590 @ SV518 @ SV1 ) )
| ( in @ SV518 @ ( sK313_SY590 @ SV518 @ SV1 ) ) )
= $false )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5326]) ).
thf(5607,plain,
! [SV1: $i,SV791: $i,SV703: $i] :
( ( ( in @ SV703 @ SV791 )
= $false )
| ( ( in @ SV703 @ SV1 )
= $true )
| ( ( in @ SV791 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK212_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5327]) ).
thf(5608,plain,
! [SV1: $i,SV604: $i] :
( ( ( ~ ( in @ ( sK328_SY659 @ SV604 @ SV1 ) @ ( sK212_SY8 @ SV1 ) )
| ( SV604
= ( sK328_SY659 @ SV604 @ SV1 ) )
| ( in @ SV604 @ ( sK328_SY659 @ SV604 @ SV1 ) ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5328]) ).
thf(5609,plain,
! [SV1: $i,SV792: $i,SV704: $i] :
( ( ( in @ SV704 @ SV792 )
= $false )
| ( ( in @ SV704 @ SV1 )
= $true )
| ( ( in @ SV792 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK213_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5329]) ).
thf(5610,plain,
! [SV1: $i,SV606: $i] :
( ( ( ~ ( in @ ( sK329_SY660 @ SV606 @ SV1 ) @ ( sK213_SY8 @ SV1 ) )
| ( SV606
= ( sK329_SY660 @ SV606 @ SV1 ) )
| ( in @ SV606 @ ( sK329_SY660 @ SV606 @ SV1 ) ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5330]) ).
thf(5611,plain,
! [SV1: $i,SV793: $i,SV705: $i] :
( ( ( in @ SV705 @ SV793 )
= $false )
| ( ( in @ SV705 @ SV1 )
= $true )
| ( ( in @ SV793 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK214_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5331]) ).
thf(5612,plain,
! [SV1: $i,SV608: $i] :
( ( ( ~ ( in @ ( sK330_SY661 @ SV608 @ SV1 ) @ ( sK214_SY8 @ SV1 ) )
| ( SV608
= ( sK330_SY661 @ SV608 @ SV1 ) )
| ( in @ SV608 @ ( sK330_SY661 @ SV608 @ SV1 ) ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5332]) ).
thf(5613,plain,
! [SV1: $i,SV794: $i,SV706: $i] :
( ( ( in @ SV706 @ SV794 )
= $false )
| ( ( in @ SV706 @ SV1 )
= $true )
| ( ( in @ SV794 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( ( sK215_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5333]) ).
thf(5614,plain,
! [SV1: $i,SV610: $i] :
( ( ( ~ ( in @ ( sK331_SY662 @ SV610 @ SV1 ) @ ( sK215_SY8 @ SV1 ) )
| ( SV610
= ( sK331_SY662 @ SV610 @ SV1 ) )
| ( in @ SV610 @ ( sK331_SY662 @ SV610 @ SV1 ) ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5334]) ).
thf(5615,plain,
! [SV1: $i,SV524: $i] :
( ( ( ~ ( in @ ( sK314_SY595 @ SV524 @ SV1 ) @ ( sK198_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5336]) ).
thf(5616,plain,
! [SV1: $i,SV524: $i] :
( ( ( ( SV524
= ( sK314_SY595 @ SV524 @ SV1 ) )
| ( in @ SV524 @ ( sK314_SY595 @ SV524 @ SV1 ) ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5336]) ).
thf(5617,plain,
! [SV1: $i,SV526: $i] :
( ( ( ~ ( in @ ( sK315_SY596 @ SV526 @ SV1 ) @ ( sK199_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5338]) ).
thf(5618,plain,
! [SV1: $i,SV526: $i] :
( ( ( ( SV526
= ( sK315_SY596 @ SV526 @ SV1 ) )
| ( in @ SV526 @ ( sK315_SY596 @ SV526 @ SV1 ) ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5338]) ).
thf(5619,plain,
! [SV410: $i,SV1099: $i,SV1: $i] :
( ( ( ! [SY899: $i] :
( ~ ( in @ SY899 @ SV1 )
| ~ ( in @ SV1099 @ SY899 )
| ( in @ SV1099 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK302_SY531 @ SV410 @ SV1 ) @ ( sK182_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5339]) ).
thf(5620,plain,
! [SV410: $i,SV1100: $i,SV1: $i] :
( ( ( ! [SY900: $i] :
( ~ ( in @ SY900 @ SV1 )
| ~ ( in @ SV1100 @ SY900 )
| ( in @ SV1100 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( SV410
= ( sK302_SY531 @ SV410 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5340]) ).
thf(5621,plain,
! [SV410: $i,SV1101: $i,SV1: $i] :
( ( ( ! [SY901: $i] :
( ~ ( in @ SY901 @ SV1 )
| ~ ( in @ SV1101 @ SY901 )
| ( in @ SV1101 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV410 @ ( sK302_SY531 @ SV410 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5341]) ).
thf(5622,plain,
! [SV412: $i,SV1102: $i,SV1: $i] :
( ( ( ! [SY902: $i] :
( ~ ( in @ SY902 @ SV1 )
| ~ ( in @ SV1102 @ SY902 )
| ( in @ SV1102 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK303_SY532 @ SV412 @ SV1 ) @ ( sK183_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5342]) ).
thf(5623,plain,
! [SV412: $i,SV1103: $i,SV1: $i] :
( ( ( ! [SY903: $i] :
( ~ ( in @ SY903 @ SV1 )
| ~ ( in @ SV1103 @ SY903 )
| ( in @ SV1103 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( SV412
= ( sK303_SY532 @ SV412 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5343]) ).
thf(5624,plain,
! [SV412: $i,SV1104: $i,SV1: $i] :
( ( ( ! [SY904: $i] :
( ~ ( in @ SY904 @ SV1 )
| ~ ( in @ SV1104 @ SY904 )
| ( in @ SV1104 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV412 @ ( sK303_SY532 @ SV412 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5344]) ).
thf(5625,plain,
! [SV1: $i,SV530: $i] :
( ( ( ~ ( in @ ( sK316_SY597 @ SV530 @ SV1 ) @ ( sK200_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5346]) ).
thf(5626,plain,
! [SV1: $i,SV530: $i] :
( ( ( ( SV530
= ( sK316_SY597 @ SV530 @ SV1 ) )
| ( in @ SV530 @ ( sK316_SY597 @ SV530 @ SV1 ) ) )
= $false )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5346]) ).
thf(5627,plain,
! [SV1: $i,SV532: $i] :
( ( ( ~ ( in @ ( sK317_SY598 @ SV532 @ SV1 ) @ ( sK201_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5348]) ).
thf(5628,plain,
! [SV1: $i,SV532: $i] :
( ( ( ( SV532
= ( sK317_SY598 @ SV532 @ SV1 ) )
| ( in @ SV532 @ ( sK317_SY598 @ SV532 @ SV1 ) ) )
= $false )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5348]) ).
thf(5629,plain,
! [SV1: $i,SV795: $i,SV711: $i] :
( ( ( in @ SV711 @ SV795 )
= $false )
| ( ( in @ SV711 @ SV1 )
= $true )
| ( ( in @ SV795 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK216_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5349]) ).
thf(5630,plain,
! [SV1: $i,SV616: $i] :
( ( ( ~ ( in @ ( sK332_SY667 @ SV616 @ SV1 ) @ ( sK216_SY8 @ SV1 ) )
| ( SV616
= ( sK332_SY667 @ SV616 @ SV1 ) )
| ( in @ SV616 @ ( sK332_SY667 @ SV616 @ SV1 ) ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5350]) ).
thf(5631,plain,
! [SV1: $i,SV796: $i,SV712: $i] :
( ( ( in @ SV712 @ SV796 )
= $false )
| ( ( in @ SV712 @ SV1 )
= $true )
| ( ( in @ SV796 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK217_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5351]) ).
thf(5632,plain,
! [SV1: $i,SV618: $i] :
( ( ( ~ ( in @ ( sK333_SY668 @ SV618 @ SV1 ) @ ( sK217_SY8 @ SV1 ) )
| ( SV618
= ( sK333_SY668 @ SV618 @ SV1 ) )
| ( in @ SV618 @ ( sK333_SY668 @ SV618 @ SV1 ) ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5352]) ).
thf(5633,plain,
! [SV1: $i,SV797: $i,SV713: $i] :
( ( ( in @ SV713 @ SV797 )
= $false )
| ( ( in @ SV713 @ SV1 )
= $true )
| ( ( in @ SV797 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK218_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5353]) ).
thf(5634,plain,
! [SV1: $i,SV620: $i] :
( ( ( ~ ( in @ ( sK334_SY669 @ SV620 @ SV1 ) @ ( sK218_SY8 @ SV1 ) )
| ( SV620
= ( sK334_SY669 @ SV620 @ SV1 ) )
| ( in @ SV620 @ ( sK334_SY669 @ SV620 @ SV1 ) ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5354]) ).
thf(5635,plain,
! [SV1: $i,SV798: $i,SV714: $i] :
( ( ( in @ SV714 @ SV798 )
= $false )
| ( ( in @ SV714 @ SV1 )
= $true )
| ( ( in @ SV798 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( ( sK219_SY8 @ SV1 )
= emptyset )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5355]) ).
thf(5636,plain,
! [SV1: $i,SV622: $i] :
( ( ( ~ ( in @ ( sK335_SY670 @ SV622 @ SV1 ) @ ( sK219_SY8 @ SV1 ) )
| ( SV622
= ( sK335_SY670 @ SV622 @ SV1 ) )
| ( in @ SV622 @ ( sK335_SY670 @ SV622 @ SV1 ) ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5356]) ).
thf(5637,plain,
! [SV1: $i,SV538: $i] :
( ( ( ~ ( in @ ( sK318_SY603 @ SV538 @ SV1 ) @ ( sK202_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5358]) ).
thf(5638,plain,
! [SV1: $i,SV538: $i] :
( ( ( ( SV538
= ( sK318_SY603 @ SV538 @ SV1 ) )
| ( in @ SV538 @ ( sK318_SY603 @ SV538 @ SV1 ) ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5358]) ).
thf(5639,plain,
! [SV1: $i,SV540: $i] :
( ( ( ~ ( in @ ( sK319_SY604 @ SV540 @ SV1 ) @ ( sK203_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5360]) ).
thf(5640,plain,
! [SV1: $i,SV540: $i] :
( ( ( ( SV540
= ( sK319_SY604 @ SV540 @ SV1 ) )
| ( in @ SV540 @ ( sK319_SY604 @ SV540 @ SV1 ) ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5360]) ).
thf(5641,plain,
! [SV178: $i,SV1: $i,SV871: $i,SV799: $i] :
( ( ( ~ ( in @ SV799 @ SV871 ) )
= $true )
| ( ( in @ SV799 @ SV1 )
= $true )
| ( ( in @ SV871 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK254_SY327 @ SV178 @ SV1 ) @ ( sK118_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5361]) ).
thf(5642,plain,
! [SV178: $i,SV1: $i,SV872: $i,SV800: $i] :
( ( ( ~ ( in @ SV800 @ SV872 ) )
= $true )
| ( ( in @ SV800 @ SV1 )
= $true )
| ( ( in @ SV872 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( SV178
= ( sK254_SY327 @ SV178 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5362]) ).
thf(5643,plain,
! [SV178: $i,SV1: $i,SV873: $i,SV801: $i] :
( ( ( ~ ( in @ SV801 @ SV873 ) )
= $true )
| ( ( in @ SV801 @ SV1 )
= $true )
| ( ( in @ SV873 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV178 @ ( sK254_SY327 @ SV178 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5363]) ).
thf(5644,plain,
! [SV180: $i,SV1: $i,SV874: $i,SV802: $i] :
( ( ( ~ ( in @ SV802 @ SV874 ) )
= $true )
| ( ( in @ SV802 @ SV1 )
= $true )
| ( ( in @ SV874 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK255_SY328 @ SV180 @ SV1 ) @ ( sK119_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5364]) ).
thf(5645,plain,
! [SV180: $i,SV1: $i,SV875: $i,SV803: $i] :
( ( ( ~ ( in @ SV803 @ SV875 ) )
= $true )
| ( ( in @ SV803 @ SV1 )
= $true )
| ( ( in @ SV875 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( SV180
= ( sK255_SY328 @ SV180 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5365]) ).
thf(5646,plain,
! [SV180: $i,SV1: $i,SV876: $i,SV804: $i] :
( ( ( ~ ( in @ SV804 @ SV876 ) )
= $true )
| ( ( in @ SV804 @ SV1 )
= $true )
| ( ( in @ SV876 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV180 @ ( sK255_SY328 @ SV180 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5366]) ).
thf(5647,plain,
! [SV298: $i,SV937: $i,SV1: $i,SV1021: $i] :
( ( ( ~ ( in @ SV1021 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV937 @ SV1021 )
| ( in @ SV937 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK276_SY433 @ SV298 @ SV1 ) @ ( sK148_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5367]) ).
thf(5648,plain,
! [SV298: $i,SV938: $i,SV1: $i,SV1022: $i] :
( ( ( ~ ( in @ SV1022 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV938 @ SV1022 )
| ( in @ SV938 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( SV298
= ( sK276_SY433 @ SV298 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5368]) ).
thf(5649,plain,
! [SV298: $i,SV939: $i,SV1: $i,SV1023: $i] :
( ( ( ~ ( in @ SV1023 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV939 @ SV1023 )
| ( in @ SV939 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV298 @ ( sK276_SY433 @ SV298 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5369]) ).
thf(5650,plain,
! [SV300: $i,SV940: $i,SV1: $i,SV1024: $i] :
( ( ( ~ ( in @ SV1024 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV940 @ SV1024 )
| ( in @ SV940 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK277_SY434 @ SV300 @ SV1 ) @ ( sK149_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5370]) ).
thf(5651,plain,
! [SV300: $i,SV941: $i,SV1: $i,SV1025: $i] :
( ( ( ~ ( in @ SV1025 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV941 @ SV1025 )
| ( in @ SV941 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( SV300
= ( sK277_SY434 @ SV300 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5371]) ).
thf(5652,plain,
! [SV300: $i,SV942: $i,SV1: $i,SV1026: $i] :
( ( ( ~ ( in @ SV1026 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV942 @ SV1026 )
| ( in @ SV942 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV300 @ ( sK277_SY434 @ SV300 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5372]) ).
thf(5653,plain,
! [SV364: $i,SV1027: $i,SV1: $i,SV1105: $i] :
( ( ( ~ ( in @ SV1105 @ SV1 )
| ~ ( in @ SV1027 @ SV1105 )
| ( in @ SV1027 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK292_SY507 @ SV364 @ SV1 ) @ ( sK172_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5373]) ).
thf(5654,plain,
! [SV364: $i,SV1028: $i,SV1: $i,SV1106: $i] :
( ( ( ~ ( in @ SV1106 @ SV1 )
| ~ ( in @ SV1028 @ SV1106 )
| ( in @ SV1028 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( SV364
= ( sK292_SY507 @ SV364 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5374]) ).
thf(5655,plain,
! [SV364: $i,SV1029: $i,SV1: $i,SV1107: $i] :
( ( ( ~ ( in @ SV1107 @ SV1 )
| ~ ( in @ SV1029 @ SV1107 )
| ( in @ SV1029 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK292_SY507 @ SV364 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5375]) ).
thf(5656,plain,
! [SV366: $i,SV1030: $i,SV1: $i,SV1108: $i] :
( ( ( ~ ( in @ SV1108 @ SV1 )
| ~ ( in @ SV1030 @ SV1108 )
| ( in @ SV1030 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK293_SY508 @ SV366 @ SV1 ) @ ( sK173_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5376]) ).
thf(5657,plain,
! [SV366: $i,SV1031: $i,SV1: $i,SV1109: $i] :
( ( ( ~ ( in @ SV1109 @ SV1 )
| ~ ( in @ SV1031 @ SV1109 )
| ( in @ SV1031 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( SV366
= ( sK293_SY508 @ SV366 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5377]) ).
thf(5658,plain,
! [SV366: $i,SV1032: $i,SV1: $i,SV1110: $i] :
( ( ( ~ ( in @ SV1110 @ SV1 )
| ~ ( in @ SV1032 @ SV1110 )
| ( in @ SV1032 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK293_SY508 @ SV366 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5378]) ).
thf(5659,plain,
! [SV368: $i,SV1033: $i,SV1: $i,SV1111: $i] :
( ( ( ~ ( in @ SV1111 @ SV1 )
| ~ ( in @ SV1033 @ SV1111 )
| ( in @ SV1033 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK294_SY509 @ SV368 @ SV1 ) @ ( sK174_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5379]) ).
thf(5660,plain,
! [SV368: $i,SV1034: $i,SV1: $i,SV1112: $i] :
( ( ( ~ ( in @ SV1112 @ SV1 )
| ~ ( in @ SV1034 @ SV1112 )
| ( in @ SV1034 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( SV368
= ( sK294_SY509 @ SV368 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5380]) ).
thf(5661,plain,
! [SV368: $i,SV1035: $i,SV1: $i,SV1113: $i] :
( ( ( ~ ( in @ SV1113 @ SV1 )
| ~ ( in @ SV1035 @ SV1113 )
| ( in @ SV1035 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK294_SY509 @ SV368 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5381]) ).
thf(5662,plain,
! [SV370: $i,SV1036: $i,SV1: $i,SV1114: $i] :
( ( ( ~ ( in @ SV1114 @ SV1 )
| ~ ( in @ SV1036 @ SV1114 )
| ( in @ SV1036 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK295_SY510 @ SV370 @ SV1 ) @ ( sK175_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5382]) ).
thf(5663,plain,
! [SV370: $i,SV1037: $i,SV1: $i,SV1115: $i] :
( ( ( ~ ( in @ SV1115 @ SV1 )
| ~ ( in @ SV1037 @ SV1115 )
| ( in @ SV1037 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( SV370
= ( sK295_SY510 @ SV370 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5383]) ).
thf(5664,plain,
! [SV370: $i,SV1038: $i,SV1: $i,SV1116: $i] :
( ( ( ~ ( in @ SV1116 @ SV1 )
| ~ ( in @ SV1038 @ SV1116 )
| ( in @ SV1038 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK295_SY510 @ SV370 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5384]) ).
thf(5665,plain,
! [SV306: $i,SV943: $i,SV1: $i,SV1039: $i] :
( ( ( ~ ( in @ SV1039 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV943 @ SV1039 )
| ( in @ SV943 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK278_SY439 @ SV306 @ SV1 ) @ ( sK150_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5385]) ).
thf(5666,plain,
! [SV306: $i,SV944: $i,SV1: $i,SV1040: $i] :
( ( ( ~ ( in @ SV1040 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV944 @ SV1040 )
| ( in @ SV944 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( SV306
= ( sK278_SY439 @ SV306 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5386]) ).
thf(5667,plain,
! [SV306: $i,SV945: $i,SV1: $i,SV1041: $i] :
( ( ( ~ ( in @ SV1041 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV945 @ SV1041 )
| ( in @ SV945 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK278_SY439 @ SV306 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5387]) ).
thf(5668,plain,
! [SV308: $i,SV946: $i,SV1: $i,SV1042: $i] :
( ( ( ~ ( in @ SV1042 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV946 @ SV1042 )
| ( in @ SV946 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK279_SY440 @ SV308 @ SV1 ) @ ( sK151_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5388]) ).
thf(5669,plain,
! [SV308: $i,SV947: $i,SV1: $i,SV1043: $i] :
( ( ( ~ ( in @ SV1043 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV947 @ SV1043 )
| ( in @ SV947 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( SV308
= ( sK279_SY440 @ SV308 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5389]) ).
thf(5670,plain,
! [SV308: $i,SV948: $i,SV1: $i,SV1044: $i] :
( ( ( ~ ( in @ SV1044 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV948 @ SV1044 )
| ( in @ SV948 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK279_SY440 @ SV308 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5390]) ).
thf(5671,plain,
! [SV132: $i,SV1: $i,SV805: $i,SV729: $i] :
( ( ( in @ SV729 @ SV805 )
= $false )
| ( ( in @ SV729 @ SV1 )
= $true )
| ( ( in @ SV805 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK240_SY285 @ SV132 @ SV1 ) @ ( sK100_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5403]) ).
thf(5672,plain,
! [SV132: $i,SV1: $i,SV806: $i,SV730: $i] :
( ( ( in @ SV730 @ SV806 )
= $false )
| ( ( in @ SV730 @ SV1 )
= $true )
| ( ( in @ SV806 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( SV132
= ( sK240_SY285 @ SV132 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5404]) ).
thf(5673,plain,
! [SV132: $i,SV1: $i,SV807: $i,SV731: $i] :
( ( ( in @ SV731 @ SV807 )
= $false )
| ( ( in @ SV731 @ SV1 )
= $true )
| ( ( in @ SV807 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV132 @ ( sK100_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV132 @ ( sK240_SY285 @ SV132 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5405]) ).
thf(5674,plain,
! [SV134: $i,SV1: $i,SV808: $i,SV732: $i] :
( ( ( in @ SV732 @ SV808 )
= $false )
| ( ( in @ SV732 @ SV1 )
= $true )
| ( ( in @ SV808 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK241_SY286 @ SV134 @ SV1 ) @ ( sK101_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5406]) ).
thf(5675,plain,
! [SV134: $i,SV1: $i,SV809: $i,SV733: $i] :
( ( ( in @ SV733 @ SV809 )
= $false )
| ( ( in @ SV733 @ SV1 )
= $true )
| ( ( in @ SV809 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( SV134
= ( sK241_SY286 @ SV134 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5407]) ).
thf(5676,plain,
! [SV134: $i,SV1: $i,SV810: $i,SV734: $i] :
( ( ( in @ SV734 @ SV810 )
= $false )
| ( ( in @ SV734 @ SV1 )
= $true )
| ( ( in @ SV810 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK42_SY7 @ SV1 ) @ ( sK42_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV134 @ ( sK101_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV134 @ ( sK241_SY286 @ SV134 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5408]) ).
thf(5677,plain,
! [SV188: $i,SV1: $i,SV877: $i,SV811: $i] :
( ( ( ~ ( in @ SV811 @ SV877 ) )
= $true )
| ( ( in @ SV811 @ SV1 )
= $true )
| ( ( in @ SV877 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK256_SY331 @ SV188 @ SV1 ) @ ( sK120_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5409]) ).
thf(5678,plain,
! [SV188: $i,SV1: $i,SV878: $i,SV812: $i] :
( ( ( ~ ( in @ SV812 @ SV878 ) )
= $true )
| ( ( in @ SV812 @ SV1 )
= $true )
| ( ( in @ SV878 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( SV188
= ( sK256_SY331 @ SV188 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5410]) ).
thf(5679,plain,
! [SV188: $i,SV1: $i,SV879: $i,SV813: $i] :
( ( ( ~ ( in @ SV813 @ SV879 ) )
= $true )
| ( ( in @ SV813 @ SV1 )
= $true )
| ( ( in @ SV879 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK256_SY331 @ SV188 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5411]) ).
thf(5680,plain,
! [SV190: $i,SV1: $i,SV880: $i,SV814: $i] :
( ( ( ~ ( in @ SV814 @ SV880 ) )
= $true )
| ( ( in @ SV814 @ SV1 )
= $true )
| ( ( in @ SV880 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK257_SY332 @ SV190 @ SV1 ) @ ( sK121_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5412]) ).
thf(5681,plain,
! [SV190: $i,SV1: $i,SV881: $i,SV815: $i] :
( ( ( ~ ( in @ SV815 @ SV881 ) )
= $true )
| ( ( in @ SV815 @ SV1 )
= $true )
| ( ( in @ SV881 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( SV190
= ( sK257_SY332 @ SV190 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5413]) ).
thf(5682,plain,
! [SV190: $i,SV1: $i,SV882: $i,SV816: $i] :
( ( ( ~ ( in @ SV816 @ SV882 ) )
= $true )
| ( ( in @ SV816 @ SV1 )
= $true )
| ( ( in @ SV882 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK257_SY332 @ SV190 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5414]) ).
thf(5683,plain,
! [SV192: $i,SV1: $i,SV883: $i,SV817: $i] :
( ( ( ~ ( in @ SV817 @ SV883 ) )
= $true )
| ( ( in @ SV817 @ SV1 )
= $true )
| ( ( in @ SV883 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK258_SY333 @ SV192 @ SV1 ) @ ( sK122_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5415]) ).
thf(5684,plain,
! [SV192: $i,SV1: $i,SV884: $i,SV818: $i] :
( ( ( ~ ( in @ SV818 @ SV884 ) )
= $true )
| ( ( in @ SV818 @ SV1 )
= $true )
| ( ( in @ SV884 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( SV192
= ( sK258_SY333 @ SV192 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5416]) ).
thf(5685,plain,
! [SV192: $i,SV1: $i,SV885: $i,SV819: $i] :
( ( ( ~ ( in @ SV819 @ SV885 ) )
= $true )
| ( ( in @ SV819 @ SV1 )
= $true )
| ( ( in @ SV885 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK258_SY333 @ SV192 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5417]) ).
thf(5686,plain,
! [SV194: $i,SV1: $i,SV886: $i,SV820: $i] :
( ( ( ~ ( in @ SV820 @ SV886 ) )
= $true )
| ( ( in @ SV820 @ SV1 )
= $true )
| ( ( in @ SV886 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK259_SY334 @ SV194 @ SV1 ) @ ( sK123_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5418]) ).
thf(5687,plain,
! [SV194: $i,SV1: $i,SV887: $i,SV821: $i] :
( ( ( ~ ( in @ SV821 @ SV887 ) )
= $true )
| ( ( in @ SV821 @ SV1 )
= $true )
| ( ( in @ SV887 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( SV194
= ( sK259_SY334 @ SV194 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5419]) ).
thf(5688,plain,
! [SV194: $i,SV1: $i,SV888: $i,SV822: $i] :
( ( ( ~ ( in @ SV822 @ SV888 ) )
= $true )
| ( ( in @ SV822 @ SV1 )
= $true )
| ( ( in @ SV888 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK259_SY334 @ SV194 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5420]) ).
thf(5689,plain,
! [SV140: $i,SV1: $i,SV823: $i,SV735: $i] :
( ( ( in @ SV735 @ SV823 )
= $false )
| ( ( in @ SV735 @ SV1 )
= $true )
| ( ( in @ SV823 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK242_SY291 @ SV140 @ SV1 ) @ ( sK102_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5421]) ).
thf(5690,plain,
! [SV140: $i,SV1: $i,SV824: $i,SV736: $i] :
( ( ( in @ SV736 @ SV824 )
= $false )
| ( ( in @ SV736 @ SV1 )
= $true )
| ( ( in @ SV824 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( SV140
= ( sK242_SY291 @ SV140 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5422]) ).
thf(5691,plain,
! [SV140: $i,SV1: $i,SV825: $i,SV737: $i] :
( ( ( in @ SV737 @ SV825 )
= $false )
| ( ( in @ SV737 @ SV1 )
= $true )
| ( ( in @ SV825 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK102_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV140 @ ( sK242_SY291 @ SV140 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5423]) ).
thf(5692,plain,
! [SV142: $i,SV1: $i,SV826: $i,SV738: $i] :
( ( ( in @ SV738 @ SV826 )
= $false )
| ( ( in @ SV738 @ SV1 )
= $true )
| ( ( in @ SV826 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK243_SY292 @ SV142 @ SV1 ) @ ( sK103_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5424]) ).
thf(5693,plain,
! [SV142: $i,SV1: $i,SV827: $i,SV739: $i] :
( ( ( in @ SV739 @ SV827 )
= $false )
| ( ( in @ SV739 @ SV1 )
= $true )
| ( ( in @ SV827 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( SV142
= ( sK243_SY292 @ SV142 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5425]) ).
thf(5694,plain,
! [SV142: $i,SV1: $i,SV828: $i,SV740: $i] :
( ( ( in @ SV740 @ SV828 )
= $false )
| ( ( in @ SV740 @ SV1 )
= $true )
| ( ( in @ SV828 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK43_SY7 @ SV1 ) @ ( sK43_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK19_SY31 @ SV1 ) @ ( sK15_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK103_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV142 @ ( sK243_SY292 @ SV142 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5426]) ).
thf(5695,plain,
! [SV144: $i,SV1: $i,SV829: $i,SV741: $i] :
( ( ( in @ SV741 @ SV829 )
= $false )
| ( ( in @ SV741 @ SV1 )
= $true )
| ( ( in @ SV829 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK244_SY293 @ SV144 @ SV1 ) @ ( sK104_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5427]) ).
thf(5696,plain,
! [SV144: $i,SV1: $i,SV830: $i,SV742: $i] :
( ( ( in @ SV742 @ SV830 )
= $false )
| ( ( in @ SV742 @ SV1 )
= $true )
| ( ( in @ SV830 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( SV144
= ( sK244_SY293 @ SV144 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5428]) ).
thf(5697,plain,
! [SV144: $i,SV1: $i,SV831: $i,SV743: $i] :
( ( ( in @ SV743 @ SV831 )
= $false )
| ( ( in @ SV743 @ SV1 )
= $true )
| ( ( in @ SV831 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV144 @ ( sK104_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV144 @ ( sK244_SY293 @ SV144 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5429]) ).
thf(5698,plain,
! [SV146: $i,SV1: $i,SV832: $i,SV744: $i] :
( ( ( in @ SV744 @ SV832 )
= $false )
| ( ( in @ SV744 @ SV1 )
= $true )
| ( ( in @ SV832 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK245_SY294 @ SV146 @ SV1 ) @ ( sK105_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5430]) ).
thf(5699,plain,
! [SV146: $i,SV1: $i,SV833: $i,SV745: $i] :
( ( ( in @ SV745 @ SV833 )
= $false )
| ( ( in @ SV745 @ SV1 )
= $true )
| ( ( in @ SV833 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( SV146
= ( sK245_SY294 @ SV146 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5431]) ).
thf(5700,plain,
! [SV146: $i,SV1: $i,SV834: $i,SV746: $i] :
( ( ( in @ SV746 @ SV834 )
= $false )
| ( ( in @ SV746 @ SV1 )
= $true )
| ( ( in @ SV834 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK44_SY7 @ SV1 ) @ ( sK44_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV146 @ ( sK105_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV146 @ ( sK245_SY294 @ SV146 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5432]) ).
thf(5701,plain,
! [SV248: $i,SV889: $i,SV1: $i,SV949: $i] :
( ( ( in @ SV949 @ SV1 )
= $false )
| ( ( ~ ( in @ SV889 @ SV949 )
| ( in @ SV889 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK264_SY373 @ SV248 @ SV1 ) @ ( sK128_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5433]) ).
thf(5702,plain,
! [SV248: $i,SV890: $i,SV1: $i,SV950: $i] :
( ( ( in @ SV950 @ SV1 )
= $false )
| ( ( ~ ( in @ SV890 @ SV950 )
| ( in @ SV890 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( SV248
= ( sK264_SY373 @ SV248 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5434]) ).
thf(5703,plain,
! [SV248: $i,SV891: $i,SV1: $i,SV951: $i] :
( ( ( in @ SV951 @ SV1 )
= $false )
| ( ( ~ ( in @ SV891 @ SV951 )
| ( in @ SV891 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV248 @ ( sK264_SY373 @ SV248 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5435]) ).
thf(5704,plain,
! [SV250: $i,SV892: $i,SV1: $i,SV952: $i] :
( ( ( in @ SV952 @ SV1 )
= $false )
| ( ( ~ ( in @ SV892 @ SV952 )
| ( in @ SV892 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK265_SY374 @ SV250 @ SV1 ) @ ( sK129_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5436]) ).
thf(5705,plain,
! [SV250: $i,SV893: $i,SV1: $i,SV953: $i] :
( ( ( in @ SV953 @ SV1 )
= $false )
| ( ( ~ ( in @ SV893 @ SV953 )
| ( in @ SV893 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( SV250
= ( sK265_SY374 @ SV250 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5437]) ).
thf(5706,plain,
! [SV250: $i,SV894: $i,SV1: $i,SV954: $i] :
( ( ( in @ SV954 @ SV1 )
= $false )
| ( ( ~ ( in @ SV894 @ SV954 )
| ( in @ SV894 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV250 @ ( sK265_SY374 @ SV250 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5438]) ).
thf(5707,plain,
! [SV316: $i,SV955: $i,SV1: $i,SV1045: $i] :
( ( ( ~ ( in @ SV1045 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV955 @ SV1045 )
| ( in @ SV955 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK280_SY443 @ SV316 @ SV1 ) @ ( sK152_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5439]) ).
thf(5708,plain,
! [SV316: $i,SV956: $i,SV1: $i,SV1046: $i] :
( ( ( ~ ( in @ SV1046 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV956 @ SV1046 )
| ( in @ SV956 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( SV316
= ( sK280_SY443 @ SV316 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5440]) ).
thf(5709,plain,
! [SV316: $i,SV957: $i,SV1: $i,SV1047: $i] :
( ( ( ~ ( in @ SV1047 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV957 @ SV1047 )
| ( in @ SV957 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK280_SY443 @ SV316 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5441]) ).
thf(5710,plain,
! [SV318: $i,SV958: $i,SV1: $i,SV1048: $i] :
( ( ( ~ ( in @ SV1048 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV958 @ SV1048 )
| ( in @ SV958 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK281_SY444 @ SV318 @ SV1 ) @ ( sK153_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5442]) ).
thf(5711,plain,
! [SV318: $i,SV959: $i,SV1: $i,SV1049: $i] :
( ( ( ~ ( in @ SV1049 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV959 @ SV1049 )
| ( in @ SV959 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( SV318
= ( sK281_SY444 @ SV318 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5443]) ).
thf(5712,plain,
! [SV318: $i,SV960: $i,SV1: $i,SV1050: $i] :
( ( ( ~ ( in @ SV1050 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV960 @ SV1050 )
| ( in @ SV960 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK281_SY444 @ SV318 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5444]) ).
thf(5713,plain,
! [SV320: $i,SV961: $i,SV1: $i,SV1051: $i] :
( ( ( ~ ( in @ SV1051 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV961 @ SV1051 )
| ( in @ SV961 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK282_SY445 @ SV320 @ SV1 ) @ ( sK154_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5445]) ).
thf(5714,plain,
! [SV320: $i,SV962: $i,SV1: $i,SV1052: $i] :
( ( ( ~ ( in @ SV1052 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV962 @ SV1052 )
| ( in @ SV962 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( SV320
= ( sK282_SY445 @ SV320 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5446]) ).
thf(5715,plain,
! [SV320: $i,SV963: $i,SV1: $i,SV1053: $i] :
( ( ( ~ ( in @ SV1053 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV963 @ SV1053 )
| ( in @ SV963 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK282_SY445 @ SV320 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5447]) ).
thf(5716,plain,
! [SV322: $i,SV964: $i,SV1: $i,SV1054: $i] :
( ( ( ~ ( in @ SV1054 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV964 @ SV1054 )
| ( in @ SV964 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK283_SY446 @ SV322 @ SV1 ) @ ( sK155_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5448]) ).
thf(5717,plain,
! [SV322: $i,SV965: $i,SV1: $i,SV1055: $i] :
( ( ( ~ ( in @ SV1055 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV965 @ SV1055 )
| ( in @ SV965 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( SV322
= ( sK283_SY446 @ SV322 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5449]) ).
thf(5718,plain,
! [SV322: $i,SV966: $i,SV1: $i,SV1056: $i] :
( ( ( ~ ( in @ SV1056 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV966 @ SV1056 )
| ( in @ SV966 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK283_SY446 @ SV322 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5450]) ).
thf(5719,plain,
! [SV256: $i,SV895: $i,SV1: $i,SV967: $i] :
( ( ( in @ SV967 @ SV1 )
= $false )
| ( ( ~ ( in @ SV895 @ SV967 )
| ( in @ SV895 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK266_SY379 @ SV256 @ SV1 ) @ ( sK130_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5451]) ).
thf(5720,plain,
! [SV256: $i,SV896: $i,SV1: $i,SV968: $i] :
( ( ( in @ SV968 @ SV1 )
= $false )
| ( ( ~ ( in @ SV896 @ SV968 )
| ( in @ SV896 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( SV256
= ( sK266_SY379 @ SV256 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5452]) ).
thf(5721,plain,
! [SV256: $i,SV897: $i,SV1: $i,SV969: $i] :
( ( ( in @ SV969 @ SV1 )
= $false )
| ( ( ~ ( in @ SV897 @ SV969 )
| ( in @ SV897 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK266_SY379 @ SV256 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5453]) ).
thf(5722,plain,
! [SV258: $i,SV898: $i,SV1: $i,SV970: $i] :
( ( ( in @ SV970 @ SV1 )
= $false )
| ( ( ~ ( in @ SV898 @ SV970 )
| ( in @ SV898 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK267_SY380 @ SV258 @ SV1 ) @ ( sK131_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5454]) ).
thf(5723,plain,
! [SV258: $i,SV899: $i,SV1: $i,SV971: $i] :
( ( ( in @ SV971 @ SV1 )
= $false )
| ( ( ~ ( in @ SV899 @ SV971 )
| ( in @ SV899 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( SV258
= ( sK267_SY380 @ SV258 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5455]) ).
thf(5724,plain,
! [SV258: $i,SV900: $i,SV1: $i,SV972: $i] :
( ( ( in @ SV972 @ SV1 )
= $false )
| ( ( ~ ( in @ SV900 @ SV972 )
| ( in @ SV900 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK267_SY380 @ SV258 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5456]) ).
thf(5725,plain,
! [SV382: $i,SV1057: $i,SV1: $i,SV1117: $i] :
( ( ( ~ ( in @ SV1117 @ SV1 )
| ~ ( in @ SV1057 @ SV1117 )
| ( in @ SV1057 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK296_SY517 @ SV382 @ SV1 ) @ ( sK176_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5457]) ).
thf(5726,plain,
! [SV382: $i,SV1058: $i,SV1: $i,SV1118: $i] :
( ( ( ~ ( in @ SV1118 @ SV1 )
| ~ ( in @ SV1058 @ SV1118 )
| ( in @ SV1058 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( SV382
= ( sK296_SY517 @ SV382 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5458]) ).
thf(5727,plain,
! [SV382: $i,SV1059: $i,SV1: $i,SV1119: $i] :
( ( ( ~ ( in @ SV1119 @ SV1 )
| ~ ( in @ SV1059 @ SV1119 )
| ( in @ SV1059 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV382 @ ( sK296_SY517 @ SV382 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5459]) ).
thf(5728,plain,
! [SV384: $i,SV1060: $i,SV1: $i,SV1120: $i] :
( ( ( ~ ( in @ SV1120 @ SV1 )
| ~ ( in @ SV1060 @ SV1120 )
| ( in @ SV1060 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK297_SY518 @ SV384 @ SV1 ) @ ( sK177_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5460]) ).
thf(5729,plain,
! [SV384: $i,SV1061: $i,SV1: $i,SV1121: $i] :
( ( ( ~ ( in @ SV1121 @ SV1 )
| ~ ( in @ SV1061 @ SV1121 )
| ( in @ SV1061 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( SV384
= ( sK297_SY518 @ SV384 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5461]) ).
thf(5730,plain,
! [SV384: $i,SV1062: $i,SV1: $i,SV1122: $i] :
( ( ( ~ ( in @ SV1122 @ SV1 )
| ~ ( in @ SV1062 @ SV1122 )
| ( in @ SV1062 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV384 @ ( sK297_SY518 @ SV384 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5462]) ).
thf(5731,plain,
! [SV1: $i,SV482: $i] :
( ( ( in @ ( sK304_SY573 @ SV482 @ SV1 ) @ ( sK186_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5463]) ).
thf(5732,plain,
! [SV1: $i,SV482: $i] :
( ( ( SV482
= ( sK304_SY573 @ SV482 @ SV1 ) )
= $false )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5464]) ).
thf(5733,plain,
! [SV1: $i,SV482: $i] :
( ( ( in @ SV482 @ ( sK304_SY573 @ SV482 @ SV1 ) )
= $false )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5464]) ).
thf(5734,plain,
! [SV1: $i,SV484: $i] :
( ( ( in @ ( sK305_SY574 @ SV484 @ SV1 ) @ ( sK187_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5465]) ).
thf(5735,plain,
! [SV1: $i,SV484: $i] :
( ( ( SV484
= ( sK305_SY574 @ SV484 @ SV1 ) )
= $false )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5466]) ).
thf(5736,plain,
! [SV1: $i,SV484: $i] :
( ( ( in @ SV484 @ ( sK305_SY574 @ SV484 @ SV1 ) )
= $false )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5466]) ).
thf(5737,plain,
! [SV1: $i,SV562: $i] :
( ( ( ~ ( in @ ( sK320_SY625 @ SV562 @ SV1 ) @ ( sK204_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5468]) ).
thf(5738,plain,
! [SV1: $i,SV562: $i] :
( ( ( ( SV562
= ( sK320_SY625 @ SV562 @ SV1 ) )
| ( in @ SV562 @ ( sK320_SY625 @ SV562 @ SV1 ) ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5468]) ).
thf(5739,plain,
! [SV1: $i,SV564: $i] :
( ( ( ~ ( in @ ( sK321_SY626 @ SV564 @ SV1 ) @ ( sK205_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5470]) ).
thf(5740,plain,
! [SV1: $i,SV564: $i] :
( ( ( ( SV564
= ( sK321_SY626 @ SV564 @ SV1 ) )
| ( in @ SV564 @ ( sK321_SY626 @ SV564 @ SV1 ) ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5470]) ).
thf(5741,plain,
! [SV1: $i,SV566: $i] :
( ( ( ~ ( in @ ( sK322_SY627 @ SV566 @ SV1 ) @ ( sK206_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5472]) ).
thf(5742,plain,
! [SV1: $i,SV566: $i] :
( ( ( ( SV566
= ( sK322_SY627 @ SV566 @ SV1 ) )
| ( in @ SV566 @ ( sK322_SY627 @ SV566 @ SV1 ) ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5472]) ).
thf(5743,plain,
! [SV1: $i,SV568: $i] :
( ( ( ~ ( in @ ( sK323_SY628 @ SV568 @ SV1 ) @ ( sK207_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5474]) ).
thf(5744,plain,
! [SV1: $i,SV568: $i] :
( ( ( ( SV568
= ( sK323_SY628 @ SV568 @ SV1 ) )
| ( in @ SV568 @ ( sK323_SY628 @ SV568 @ SV1 ) ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5474]) ).
thf(5745,plain,
! [SV1: $i,SV490: $i] :
( ( ( in @ ( sK306_SY579 @ SV490 @ SV1 ) @ ( sK188_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5475]) ).
thf(5746,plain,
! [SV1: $i,SV490: $i] :
( ( ( SV490
= ( sK306_SY579 @ SV490 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5476]) ).
thf(5747,plain,
! [SV1: $i,SV490: $i] :
( ( ( in @ SV490 @ ( sK306_SY579 @ SV490 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5476]) ).
thf(5748,plain,
! [SV1: $i,SV492: $i] :
( ( ( in @ ( sK307_SY580 @ SV492 @ SV1 ) @ ( sK189_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5477]) ).
thf(5749,plain,
! [SV1: $i,SV492: $i] :
( ( ( SV492
= ( sK307_SY580 @ SV492 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5478]) ).
thf(5750,plain,
! [SV1: $i,SV492: $i] :
( ( ( in @ SV492 @ ( sK307_SY580 @ SV492 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5478]) ).
thf(5751,plain,
! [SV386: $i,SV1063: $i,SV1: $i,SV1123: $i] :
( ( ( ~ ( in @ SV1123 @ SV1 )
| ~ ( in @ SV1063 @ SV1123 )
| ( in @ SV1063 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK298_SY519 @ SV386 @ SV1 ) @ ( sK178_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5479]) ).
thf(5752,plain,
! [SV386: $i,SV1064: $i,SV1: $i,SV1124: $i] :
( ( ( ~ ( in @ SV1124 @ SV1 )
| ~ ( in @ SV1064 @ SV1124 )
| ( in @ SV1064 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( SV386
= ( sK298_SY519 @ SV386 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5480]) ).
thf(5753,plain,
! [SV386: $i,SV1065: $i,SV1: $i,SV1125: $i] :
( ( ( ~ ( in @ SV1125 @ SV1 )
| ~ ( in @ SV1065 @ SV1125 )
| ( in @ SV1065 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV386 @ ( sK298_SY519 @ SV386 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5481]) ).
thf(5754,plain,
! [SV388: $i,SV1066: $i,SV1: $i,SV1126: $i] :
( ( ( ~ ( in @ SV1126 @ SV1 )
| ~ ( in @ SV1066 @ SV1126 )
| ( in @ SV1066 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK299_SY520 @ SV388 @ SV1 ) @ ( sK179_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5482]) ).
thf(5755,plain,
! [SV388: $i,SV1067: $i,SV1: $i,SV1127: $i] :
( ( ( ~ ( in @ SV1127 @ SV1 )
| ~ ( in @ SV1067 @ SV1127 )
| ( in @ SV1067 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( SV388
= ( sK299_SY520 @ SV388 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5483]) ).
thf(5756,plain,
! [SV388: $i,SV1068: $i,SV1: $i,SV1128: $i] :
( ( ( ~ ( in @ SV1128 @ SV1 )
| ~ ( in @ SV1068 @ SV1128 )
| ( in @ SV1068 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV388 @ ( sK299_SY520 @ SV388 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5484]) ).
thf(5757,plain,
! [SV1: $i,SV496: $i] :
( ( ( in @ ( sK308_SY581 @ SV496 @ SV1 ) @ ( sK190_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5485]) ).
thf(5758,plain,
! [SV1: $i,SV496: $i] :
( ( ( SV496
= ( sK308_SY581 @ SV496 @ SV1 ) )
= $false )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5486]) ).
thf(5759,plain,
! [SV1: $i,SV496: $i] :
( ( ( in @ SV496 @ ( sK308_SY581 @ SV496 @ SV1 ) )
= $false )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5486]) ).
thf(5760,plain,
! [SV1: $i,SV498: $i] :
( ( ( in @ ( sK309_SY582 @ SV498 @ SV1 ) @ ( sK191_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5487]) ).
thf(5761,plain,
! [SV1: $i,SV498: $i] :
( ( ( SV498
= ( sK309_SY582 @ SV498 @ SV1 ) )
= $false )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5488]) ).
thf(5762,plain,
! [SV1: $i,SV498: $i] :
( ( ( in @ SV498 @ ( sK309_SY582 @ SV498 @ SV1 ) )
= $false )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5488]) ).
thf(5763,plain,
! [SV1: $i,SV574: $i] :
( ( ( ~ ( in @ ( sK324_SY633 @ SV574 @ SV1 ) @ ( sK208_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5490]) ).
thf(5764,plain,
! [SV1: $i,SV574: $i] :
( ( ( ( SV574
= ( sK324_SY633 @ SV574 @ SV1 ) )
| ( in @ SV574 @ ( sK324_SY633 @ SV574 @ SV1 ) ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5490]) ).
thf(5765,plain,
! [SV1: $i,SV576: $i] :
( ( ( ~ ( in @ ( sK325_SY634 @ SV576 @ SV1 ) @ ( sK209_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5492]) ).
thf(5766,plain,
! [SV1: $i,SV576: $i] :
( ( ( ( SV576
= ( sK325_SY634 @ SV576 @ SV1 ) )
| ( in @ SV576 @ ( sK325_SY634 @ SV576 @ SV1 ) ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5492]) ).
thf(5767,plain,
! [SV1: $i,SV578: $i] :
( ( ( ~ ( in @ ( sK326_SY635 @ SV578 @ SV1 ) @ ( sK210_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5494]) ).
thf(5768,plain,
! [SV1: $i,SV578: $i] :
( ( ( ( SV578
= ( sK326_SY635 @ SV578 @ SV1 ) )
| ( in @ SV578 @ ( sK326_SY635 @ SV578 @ SV1 ) ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5494]) ).
thf(5769,plain,
! [SV1: $i,SV580: $i] :
( ( ( ~ ( in @ ( sK327_SY636 @ SV580 @ SV1 ) @ ( sK211_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5496]) ).
thf(5770,plain,
! [SV1: $i,SV580: $i] :
( ( ( ( SV580
= ( sK327_SY636 @ SV580 @ SV1 ) )
| ( in @ SV580 @ ( sK327_SY636 @ SV580 @ SV1 ) ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5496]) ).
thf(5771,plain,
! [SV1: $i,SV504: $i] :
( ( ( in @ ( sK310_SY587 @ SV504 @ SV1 ) @ ( sK192_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5497]) ).
thf(5772,plain,
! [SV1: $i,SV504: $i] :
( ( ( SV504
= ( sK310_SY587 @ SV504 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5498]) ).
thf(5773,plain,
! [SV1: $i,SV504: $i] :
( ( ( in @ SV504 @ ( sK310_SY587 @ SV504 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5498]) ).
thf(5774,plain,
! [SV1: $i,SV506: $i] :
( ( ( in @ ( sK311_SY588 @ SV506 @ SV1 ) @ ( sK193_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5499]) ).
thf(5775,plain,
! [SV1: $i,SV506: $i] :
( ( ( SV506
= ( sK311_SY588 @ SV506 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5500]) ).
thf(5776,plain,
! [SV1: $i,SV506: $i] :
( ( ( in @ SV506 @ ( sK311_SY588 @ SV506 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5500]) ).
thf(5777,plain,
! [SV148: $i,SV1: $i,SV835: $i,SV755: $i] :
( ( ( in @ SV755 @ SV835 )
= $false )
| ( ( in @ SV755 @ SV1 )
= $true )
| ( ( in @ SV835 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK246_SY303 @ SV148 @ SV1 ) @ ( sK108_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5501]) ).
thf(5778,plain,
! [SV148: $i,SV1: $i,SV836: $i,SV756: $i] :
( ( ( in @ SV756 @ SV836 )
= $false )
| ( ( in @ SV756 @ SV1 )
= $true )
| ( ( in @ SV836 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( SV148
= ( sK246_SY303 @ SV148 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5502]) ).
thf(5779,plain,
! [SV148: $i,SV1: $i,SV837: $i,SV757: $i] :
( ( ( in @ SV757 @ SV837 )
= $false )
| ( ( in @ SV757 @ SV1 )
= $true )
| ( ( in @ SV837 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV148 @ ( sK108_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV148 @ ( sK246_SY303 @ SV148 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5503]) ).
thf(5780,plain,
! [SV150: $i,SV1: $i,SV838: $i,SV758: $i] :
( ( ( in @ SV758 @ SV838 )
= $false )
| ( ( in @ SV758 @ SV1 )
= $true )
| ( ( in @ SV838 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK247_SY304 @ SV150 @ SV1 ) @ ( sK109_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5504]) ).
thf(5781,plain,
! [SV150: $i,SV1: $i,SV839: $i,SV759: $i] :
( ( ( in @ SV759 @ SV839 )
= $false )
| ( ( in @ SV759 @ SV1 )
= $true )
| ( ( in @ SV839 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( SV150
= ( sK247_SY304 @ SV150 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5505]) ).
thf(5782,plain,
! [SV150: $i,SV1: $i,SV840: $i,SV760: $i] :
( ( ( in @ SV760 @ SV840 )
= $false )
| ( ( in @ SV760 @ SV1 )
= $true )
| ( ( in @ SV840 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK47_SY7 @ SV1 ) @ ( sK47_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV150 @ ( sK109_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV150 @ ( sK247_SY304 @ SV150 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5506]) ).
thf(5783,plain,
! [SV262: $i,SV901: $i,SV1: $i,SV973: $i] :
( ( ( in @ SV973 @ SV1 )
= $false )
| ( ( ~ ( in @ SV901 @ SV973 )
| ( in @ SV901 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK268_SY397 @ SV262 @ SV1 ) @ ( sK136_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5507]) ).
thf(5784,plain,
! [SV262: $i,SV902: $i,SV1: $i,SV974: $i] :
( ( ( in @ SV974 @ SV1 )
= $false )
| ( ( ~ ( in @ SV902 @ SV974 )
| ( in @ SV902 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( SV262
= ( sK268_SY397 @ SV262 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5508]) ).
thf(5785,plain,
! [SV262: $i,SV903: $i,SV1: $i,SV975: $i] :
( ( ( in @ SV975 @ SV1 )
= $false )
| ( ( ~ ( in @ SV903 @ SV975 )
| ( in @ SV903 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV262 @ ( sK268_SY397 @ SV262 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5509]) ).
thf(5786,plain,
! [SV264: $i,SV904: $i,SV1: $i,SV976: $i] :
( ( ( in @ SV976 @ SV1 )
= $false )
| ( ( ~ ( in @ SV904 @ SV976 )
| ( in @ SV904 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK269_SY398 @ SV264 @ SV1 ) @ ( sK137_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5510]) ).
thf(5787,plain,
! [SV264: $i,SV905: $i,SV1: $i,SV977: $i] :
( ( ( in @ SV977 @ SV1 )
= $false )
| ( ( ~ ( in @ SV905 @ SV977 )
| ( in @ SV905 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( SV264
= ( sK269_SY398 @ SV264 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5511]) ).
thf(5788,plain,
! [SV264: $i,SV906: $i,SV1: $i,SV978: $i] :
( ( ( in @ SV978 @ SV1 )
= $false )
| ( ( ~ ( in @ SV906 @ SV978 )
| ( in @ SV906 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV264 @ ( sK269_SY398 @ SV264 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5512]) ).
thf(5789,plain,
! [SV332: $i,SV979: $i,SV1: $i,SV1069: $i] :
( ( ( ~ ( in @ SV1069 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV979 @ SV1069 )
| ( in @ SV979 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK284_SY471 @ SV332 @ SV1 ) @ ( sK160_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5513]) ).
thf(5790,plain,
! [SV332: $i,SV980: $i,SV1: $i,SV1070: $i] :
( ( ( ~ ( in @ SV1070 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV980 @ SV1070 )
| ( in @ SV980 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( SV332
= ( sK284_SY471 @ SV332 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5514]) ).
thf(5791,plain,
! [SV332: $i,SV981: $i,SV1: $i,SV1071: $i] :
( ( ( ~ ( in @ SV1071 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV981 @ SV1071 )
| ( in @ SV981 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK284_SY471 @ SV332 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5515]) ).
thf(5792,plain,
! [SV334: $i,SV982: $i,SV1: $i,SV1072: $i] :
( ( ( ~ ( in @ SV1072 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV982 @ SV1072 )
| ( in @ SV982 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK285_SY472 @ SV334 @ SV1 ) @ ( sK161_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5516]) ).
thf(5793,plain,
! [SV334: $i,SV983: $i,SV1: $i,SV1073: $i] :
( ( ( ~ ( in @ SV1073 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV983 @ SV1073 )
| ( in @ SV983 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( SV334
= ( sK285_SY472 @ SV334 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5517]) ).
thf(5794,plain,
! [SV334: $i,SV984: $i,SV1: $i,SV1074: $i] :
( ( ( ~ ( in @ SV1074 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV984 @ SV1074 )
| ( in @ SV984 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK285_SY472 @ SV334 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5518]) ).
thf(5795,plain,
! [SV336: $i,SV985: $i,SV1: $i,SV1075: $i] :
( ( ( ~ ( in @ SV1075 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV985 @ SV1075 )
| ( in @ SV985 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK286_SY473 @ SV336 @ SV1 ) @ ( sK162_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5519]) ).
thf(5796,plain,
! [SV336: $i,SV986: $i,SV1: $i,SV1076: $i] :
( ( ( ~ ( in @ SV1076 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV986 @ SV1076 )
| ( in @ SV986 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( SV336
= ( sK286_SY473 @ SV336 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5520]) ).
thf(5797,plain,
! [SV336: $i,SV987: $i,SV1: $i,SV1077: $i] :
( ( ( ~ ( in @ SV1077 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV987 @ SV1077 )
| ( in @ SV987 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK286_SY473 @ SV336 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5521]) ).
thf(5798,plain,
! [SV338: $i,SV988: $i,SV1: $i,SV1078: $i] :
( ( ( ~ ( in @ SV1078 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV988 @ SV1078 )
| ( in @ SV988 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK287_SY474 @ SV338 @ SV1 ) @ ( sK163_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5522]) ).
thf(5799,plain,
! [SV338: $i,SV989: $i,SV1: $i,SV1079: $i] :
( ( ( ~ ( in @ SV1079 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV989 @ SV1079 )
| ( in @ SV989 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( SV338
= ( sK287_SY474 @ SV338 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5523]) ).
thf(5800,plain,
! [SV338: $i,SV990: $i,SV1: $i,SV1080: $i] :
( ( ( ~ ( in @ SV1080 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV990 @ SV1080 )
| ( in @ SV990 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK287_SY474 @ SV338 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5524]) ).
thf(5801,plain,
! [SV270: $i,SV907: $i,SV1: $i,SV991: $i] :
( ( ( in @ SV991 @ SV1 )
= $false )
| ( ( ~ ( in @ SV907 @ SV991 )
| ( in @ SV907 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK270_SY403 @ SV270 @ SV1 ) @ ( sK138_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5525]) ).
thf(5802,plain,
! [SV270: $i,SV908: $i,SV1: $i,SV992: $i] :
( ( ( in @ SV992 @ SV1 )
= $false )
| ( ( ~ ( in @ SV908 @ SV992 )
| ( in @ SV908 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( SV270
= ( sK270_SY403 @ SV270 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5526]) ).
thf(5803,plain,
! [SV270: $i,SV909: $i,SV1: $i,SV993: $i] :
( ( ( in @ SV993 @ SV1 )
= $false )
| ( ( ~ ( in @ SV909 @ SV993 )
| ( in @ SV909 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK270_SY403 @ SV270 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5527]) ).
thf(5804,plain,
! [SV272: $i,SV910: $i,SV1: $i,SV994: $i] :
( ( ( in @ SV994 @ SV1 )
= $false )
| ( ( ~ ( in @ SV910 @ SV994 )
| ( in @ SV910 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK271_SY404 @ SV272 @ SV1 ) @ ( sK139_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5528]) ).
thf(5805,plain,
! [SV272: $i,SV911: $i,SV1: $i,SV995: $i] :
( ( ( in @ SV995 @ SV1 )
= $false )
| ( ( ~ ( in @ SV911 @ SV995 )
| ( in @ SV911 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( SV272
= ( sK271_SY404 @ SV272 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5529]) ).
thf(5806,plain,
! [SV272: $i,SV912: $i,SV1: $i,SV996: $i] :
( ( ( in @ SV996 @ SV1 )
= $false )
| ( ( ~ ( in @ SV912 @ SV996 )
| ( in @ SV912 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK271_SY404 @ SV272 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5530]) ).
thf(5807,plain,
! [SV162: $i,SV1: $i,SV841: $i,SV773: $i] :
( ( ( in @ SV773 @ SV841 )
= $false )
| ( ( in @ SV773 @ SV1 )
= $true )
| ( ( in @ SV841 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK248_SY309 @ SV162 @ SV1 ) @ ( sK110_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5543]) ).
thf(5808,plain,
! [SV162: $i,SV1: $i,SV842: $i,SV774: $i] :
( ( ( in @ SV774 @ SV842 )
= $false )
| ( ( in @ SV774 @ SV1 )
= $true )
| ( ( in @ SV842 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( SV162
= ( sK248_SY309 @ SV162 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5544]) ).
thf(5809,plain,
! [SV162: $i,SV1: $i,SV843: $i,SV775: $i] :
( ( ( in @ SV775 @ SV843 )
= $false )
| ( ( in @ SV775 @ SV1 )
= $true )
| ( ( in @ SV843 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV162 @ ( sK110_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV162 @ ( sK248_SY309 @ SV162 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5545]) ).
thf(5810,plain,
! [SV164: $i,SV1: $i,SV844: $i,SV776: $i] :
( ( ( in @ SV776 @ SV844 )
= $false )
| ( ( in @ SV776 @ SV1 )
= $true )
| ( ( in @ SV844 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK249_SY310 @ SV164 @ SV1 ) @ ( sK111_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5546]) ).
thf(5811,plain,
! [SV164: $i,SV1: $i,SV845: $i,SV777: $i] :
( ( ( in @ SV777 @ SV845 )
= $false )
| ( ( in @ SV777 @ SV1 )
= $true )
| ( ( in @ SV845 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( SV164
= ( sK249_SY310 @ SV164 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5547]) ).
thf(5812,plain,
! [SV164: $i,SV1: $i,SV846: $i,SV778: $i] :
( ( ( in @ SV778 @ SV846 )
= $false )
| ( ( in @ SV778 @ SV1 )
= $true )
| ( ( in @ SV846 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK50_SY7 @ SV1 ) @ ( sK50_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV164 @ ( sK111_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV164 @ ( sK249_SY310 @ SV164 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5548]) ).
thf(5813,plain,
! [SV216: $i,SV1: $i,SV913: $i,SV847: $i] :
( ( ( ~ ( in @ SV847 @ SV913 ) )
= $true )
| ( ( in @ SV847 @ SV1 )
= $true )
| ( ( in @ SV913 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK260_SY351 @ SV216 @ SV1 ) @ ( sK124_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5549]) ).
thf(5814,plain,
! [SV216: $i,SV1: $i,SV914: $i,SV848: $i] :
( ( ( ~ ( in @ SV848 @ SV914 ) )
= $true )
| ( ( in @ SV848 @ SV1 )
= $true )
| ( ( in @ SV914 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( SV216
= ( sK260_SY351 @ SV216 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5550]) ).
thf(5815,plain,
! [SV216: $i,SV1: $i,SV915: $i,SV849: $i] :
( ( ( ~ ( in @ SV849 @ SV915 ) )
= $true )
| ( ( in @ SV849 @ SV1 )
= $true )
| ( ( in @ SV915 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK260_SY351 @ SV216 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5551]) ).
thf(5816,plain,
! [SV218: $i,SV1: $i,SV916: $i,SV850: $i] :
( ( ( ~ ( in @ SV850 @ SV916 ) )
= $true )
| ( ( in @ SV850 @ SV1 )
= $true )
| ( ( in @ SV916 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK261_SY352 @ SV218 @ SV1 ) @ ( sK125_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5552]) ).
thf(5817,plain,
! [SV218: $i,SV1: $i,SV917: $i,SV851: $i] :
( ( ( ~ ( in @ SV851 @ SV917 ) )
= $true )
| ( ( in @ SV851 @ SV1 )
= $true )
| ( ( in @ SV917 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( SV218
= ( sK261_SY352 @ SV218 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5553]) ).
thf(5818,plain,
! [SV218: $i,SV1: $i,SV918: $i,SV852: $i] :
( ( ( ~ ( in @ SV852 @ SV918 ) )
= $true )
| ( ( in @ SV852 @ SV1 )
= $true )
| ( ( in @ SV918 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK261_SY352 @ SV218 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5554]) ).
thf(5819,plain,
! [SV220: $i,SV1: $i,SV919: $i,SV853: $i] :
( ( ( ~ ( in @ SV853 @ SV919 ) )
= $true )
| ( ( in @ SV853 @ SV1 )
= $true )
| ( ( in @ SV919 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK262_SY353 @ SV220 @ SV1 ) @ ( sK126_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5555]) ).
thf(5820,plain,
! [SV220: $i,SV1: $i,SV920: $i,SV854: $i] :
( ( ( ~ ( in @ SV854 @ SV920 ) )
= $true )
| ( ( in @ SV854 @ SV1 )
= $true )
| ( ( in @ SV920 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( SV220
= ( sK262_SY353 @ SV220 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5556]) ).
thf(5821,plain,
! [SV220: $i,SV1: $i,SV921: $i,SV855: $i] :
( ( ( ~ ( in @ SV855 @ SV921 ) )
= $true )
| ( ( in @ SV855 @ SV1 )
= $true )
| ( ( in @ SV921 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK262_SY353 @ SV220 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5557]) ).
thf(5822,plain,
! [SV222: $i,SV1: $i,SV922: $i,SV856: $i] :
( ( ( ~ ( in @ SV856 @ SV922 ) )
= $true )
| ( ( in @ SV856 @ SV1 )
= $true )
| ( ( in @ SV922 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK263_SY354 @ SV222 @ SV1 ) @ ( sK127_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5558]) ).
thf(5823,plain,
! [SV222: $i,SV1: $i,SV923: $i,SV857: $i] :
( ( ( ~ ( in @ SV857 @ SV923 ) )
= $true )
| ( ( in @ SV857 @ SV1 )
= $true )
| ( ( in @ SV923 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( SV222
= ( sK263_SY354 @ SV222 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5559]) ).
thf(5824,plain,
! [SV222: $i,SV1: $i,SV924: $i,SV858: $i] :
( ( ( ~ ( in @ SV858 @ SV924 ) )
= $true )
| ( ( in @ SV858 @ SV1 )
= $true )
| ( ( in @ SV924 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK263_SY354 @ SV222 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5560]) ).
thf(5825,plain,
! [SV170: $i,SV1: $i,SV859: $i,SV779: $i] :
( ( ( in @ SV779 @ SV859 )
= $false )
| ( ( in @ SV779 @ SV1 )
= $true )
| ( ( in @ SV859 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK250_SY315 @ SV170 @ SV1 ) @ ( sK112_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5561]) ).
thf(5826,plain,
! [SV170: $i,SV1: $i,SV860: $i,SV780: $i] :
( ( ( in @ SV780 @ SV860 )
= $false )
| ( ( in @ SV780 @ SV1 )
= $true )
| ( ( in @ SV860 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( SV170
= ( sK250_SY315 @ SV170 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5562]) ).
thf(5827,plain,
! [SV170: $i,SV1: $i,SV861: $i,SV781: $i] :
( ( ( in @ SV781 @ SV861 )
= $false )
| ( ( in @ SV781 @ SV1 )
= $true )
| ( ( in @ SV861 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK112_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV170 @ ( sK250_SY315 @ SV170 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5563]) ).
thf(5828,plain,
! [SV172: $i,SV1: $i,SV862: $i,SV782: $i] :
( ( ( in @ SV782 @ SV862 )
= $false )
| ( ( in @ SV782 @ SV1 )
= $true )
| ( ( in @ SV862 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK251_SY316 @ SV172 @ SV1 ) @ ( sK113_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5564]) ).
thf(5829,plain,
! [SV172: $i,SV1: $i,SV863: $i,SV783: $i] :
( ( ( in @ SV783 @ SV863 )
= $false )
| ( ( in @ SV783 @ SV1 )
= $true )
| ( ( in @ SV863 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( SV172
= ( sK251_SY316 @ SV172 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5565]) ).
thf(5830,plain,
! [SV172: $i,SV1: $i,SV864: $i,SV784: $i] :
( ( ( in @ SV784 @ SV864 )
= $false )
| ( ( in @ SV784 @ SV1 )
= $true )
| ( ( in @ SV864 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK51_SY7 @ SV1 ) @ ( sK51_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK23_SY32 @ SV1 ) @ ( sK17_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK113_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV172 @ ( sK251_SY316 @ SV172 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5566]) ).
thf(5831,plain,
! [SV174: $i,SV1: $i,SV865: $i,SV785: $i] :
( ( ( in @ SV785 @ SV865 )
= $false )
| ( ( in @ SV785 @ SV1 )
= $true )
| ( ( in @ SV865 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK252_SY317 @ SV174 @ SV1 ) @ ( sK114_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5567]) ).
thf(5832,plain,
! [SV174: $i,SV1: $i,SV866: $i,SV786: $i] :
( ( ( in @ SV786 @ SV866 )
= $false )
| ( ( in @ SV786 @ SV1 )
= $true )
| ( ( in @ SV866 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( SV174
= ( sK252_SY317 @ SV174 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5568]) ).
thf(5833,plain,
! [SV174: $i,SV1: $i,SV867: $i,SV787: $i] :
( ( ( in @ SV787 @ SV867 )
= $false )
| ( ( in @ SV787 @ SV1 )
= $true )
| ( ( in @ SV867 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV174 @ ( sK114_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV174 @ ( sK252_SY317 @ SV174 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5569]) ).
thf(5834,plain,
! [SV176: $i,SV1: $i,SV868: $i,SV788: $i] :
( ( ( in @ SV788 @ SV868 )
= $false )
| ( ( in @ SV788 @ SV1 )
= $true )
| ( ( in @ SV868 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK253_SY318 @ SV176 @ SV1 ) @ ( sK115_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5570]) ).
thf(5835,plain,
! [SV176: $i,SV1: $i,SV869: $i,SV789: $i] :
( ( ( in @ SV789 @ SV869 )
= $false )
| ( ( in @ SV789 @ SV1 )
= $true )
| ( ( in @ SV869 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( SV176
= ( sK253_SY318 @ SV176 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5571]) ).
thf(5836,plain,
! [SV176: $i,SV1: $i,SV870: $i,SV790: $i] :
( ( ( in @ SV790 @ SV870 )
= $false )
| ( ( in @ SV790 @ SV1 )
= $true )
| ( ( in @ SV870 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK52_SY7 @ SV1 ) @ ( sK52_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV176 @ ( sK115_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV176 @ ( sK253_SY318 @ SV176 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5572]) ).
thf(5837,plain,
! [SV284: $i,SV925: $i,SV1: $i,SV997: $i] :
( ( ( in @ SV997 @ SV1 )
= $false )
| ( ( ~ ( in @ SV925 @ SV997 )
| ( in @ SV925 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK272_SY409 @ SV284 @ SV1 ) @ ( sK140_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5573]) ).
thf(5838,plain,
! [SV284: $i,SV926: $i,SV1: $i,SV998: $i] :
( ( ( in @ SV998 @ SV1 )
= $false )
| ( ( ~ ( in @ SV926 @ SV998 )
| ( in @ SV926 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( SV284
= ( sK272_SY409 @ SV284 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5574]) ).
thf(5839,plain,
! [SV284: $i,SV927: $i,SV1: $i,SV999: $i] :
( ( ( in @ SV999 @ SV1 )
= $false )
| ( ( ~ ( in @ SV927 @ SV999 )
| ( in @ SV927 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV284 @ ( sK272_SY409 @ SV284 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5575]) ).
thf(5840,plain,
! [SV286: $i,SV928: $i,SV1: $i,SV1000: $i] :
( ( ( in @ SV1000 @ SV1 )
= $false )
| ( ( ~ ( in @ SV928 @ SV1000 )
| ( in @ SV928 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK273_SY410 @ SV286 @ SV1 ) @ ( sK141_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5576]) ).
thf(5841,plain,
! [SV286: $i,SV929: $i,SV1: $i,SV1001: $i] :
( ( ( in @ SV1001 @ SV1 )
= $false )
| ( ( ~ ( in @ SV929 @ SV1001 )
| ( in @ SV929 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( SV286
= ( sK273_SY410 @ SV286 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5577]) ).
thf(5842,plain,
! [SV286: $i,SV930: $i,SV1: $i,SV1002: $i] :
( ( ( in @ SV1002 @ SV1 )
= $false )
| ( ( ~ ( in @ SV930 @ SV1002 )
| ( in @ SV930 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV286 @ ( sK273_SY410 @ SV286 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5578]) ).
thf(5843,plain,
! [SV348: $i,SV1003: $i,SV1: $i,SV1081: $i] :
( ( ( ~ ( in @ SV1081 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1003 @ SV1081 )
| ( in @ SV1003 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK288_SY479 @ SV348 @ SV1 ) @ ( sK164_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5579]) ).
thf(5844,plain,
! [SV348: $i,SV1004: $i,SV1: $i,SV1082: $i] :
( ( ( ~ ( in @ SV1082 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1004 @ SV1082 )
| ( in @ SV1004 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( SV348
= ( sK288_SY479 @ SV348 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5580]) ).
thf(5845,plain,
! [SV348: $i,SV1005: $i,SV1: $i,SV1083: $i] :
( ( ( ~ ( in @ SV1083 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1005 @ SV1083 )
| ( in @ SV1005 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK288_SY479 @ SV348 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5581]) ).
thf(5846,plain,
! [SV350: $i,SV1006: $i,SV1: $i,SV1084: $i] :
( ( ( ~ ( in @ SV1084 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1006 @ SV1084 )
| ( in @ SV1006 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK289_SY480 @ SV350 @ SV1 ) @ ( sK165_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5582]) ).
thf(5847,plain,
! [SV350: $i,SV1007: $i,SV1: $i,SV1085: $i] :
( ( ( ~ ( in @ SV1085 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1007 @ SV1085 )
| ( in @ SV1007 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( SV350
= ( sK289_SY480 @ SV350 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5583]) ).
thf(5848,plain,
! [SV350: $i,SV1008: $i,SV1: $i,SV1086: $i] :
( ( ( ~ ( in @ SV1086 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1008 @ SV1086 )
| ( in @ SV1008 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK289_SY480 @ SV350 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5584]) ).
thf(5849,plain,
! [SV352: $i,SV1009: $i,SV1: $i,SV1087: $i] :
( ( ( ~ ( in @ SV1087 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1009 @ SV1087 )
| ( in @ SV1009 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK290_SY481 @ SV352 @ SV1 ) @ ( sK166_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5585]) ).
thf(5850,plain,
! [SV352: $i,SV1010: $i,SV1: $i,SV1088: $i] :
( ( ( ~ ( in @ SV1088 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1010 @ SV1088 )
| ( in @ SV1010 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( SV352
= ( sK290_SY481 @ SV352 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5586]) ).
thf(5851,plain,
! [SV352: $i,SV1011: $i,SV1: $i,SV1089: $i] :
( ( ( ~ ( in @ SV1089 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1011 @ SV1089 )
| ( in @ SV1011 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK290_SY481 @ SV352 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5587]) ).
thf(5852,plain,
! [SV354: $i,SV1012: $i,SV1: $i,SV1090: $i] :
( ( ( ~ ( in @ SV1090 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1012 @ SV1090 )
| ( in @ SV1012 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK291_SY482 @ SV354 @ SV1 ) @ ( sK167_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5588]) ).
thf(5853,plain,
! [SV354: $i,SV1013: $i,SV1: $i,SV1091: $i] :
( ( ( ~ ( in @ SV1091 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1013 @ SV1091 )
| ( in @ SV1013 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( SV354
= ( sK291_SY482 @ SV354 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5589]) ).
thf(5854,plain,
! [SV354: $i,SV1014: $i,SV1: $i,SV1092: $i] :
( ( ( ~ ( in @ SV1092 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1014 @ SV1092 )
| ( in @ SV1014 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK291_SY482 @ SV354 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5590]) ).
thf(5855,plain,
! [SV292: $i,SV931: $i,SV1: $i,SV1015: $i] :
( ( ( in @ SV1015 @ SV1 )
= $false )
| ( ( ~ ( in @ SV931 @ SV1015 )
| ( in @ SV931 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK274_SY415 @ SV292 @ SV1 ) @ ( sK142_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5591]) ).
thf(5856,plain,
! [SV292: $i,SV932: $i,SV1: $i,SV1016: $i] :
( ( ( in @ SV1016 @ SV1 )
= $false )
| ( ( ~ ( in @ SV932 @ SV1016 )
| ( in @ SV932 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( SV292
= ( sK274_SY415 @ SV292 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5592]) ).
thf(5857,plain,
! [SV292: $i,SV933: $i,SV1: $i,SV1017: $i] :
( ( ( in @ SV1017 @ SV1 )
= $false )
| ( ( ~ ( in @ SV933 @ SV1017 )
| ( in @ SV933 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK274_SY415 @ SV292 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5593]) ).
thf(5858,plain,
! [SV294: $i,SV934: $i,SV1: $i,SV1018: $i] :
( ( ( in @ SV1018 @ SV1 )
= $false )
| ( ( ~ ( in @ SV934 @ SV1018 )
| ( in @ SV934 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK275_SY416 @ SV294 @ SV1 ) @ ( sK143_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5594]) ).
thf(5859,plain,
! [SV294: $i,SV935: $i,SV1: $i,SV1019: $i] :
( ( ( in @ SV1019 @ SV1 )
= $false )
| ( ( ~ ( in @ SV935 @ SV1019 )
| ( in @ SV935 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( SV294
= ( sK275_SY416 @ SV294 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5595]) ).
thf(5860,plain,
! [SV294: $i,SV936: $i,SV1: $i,SV1020: $i] :
( ( ( in @ SV1020 @ SV1 )
= $false )
| ( ( ~ ( in @ SV936 @ SV1020 )
| ( in @ SV936 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK275_SY416 @ SV294 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5596]) ).
thf(5861,plain,
! [SV406: $i,SV1093: $i,SV1: $i,SV1129: $i] :
( ( ( ~ ( in @ SV1129 @ SV1 )
| ~ ( in @ SV1093 @ SV1129 )
| ( in @ SV1093 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK300_SY529 @ SV406 @ SV1 ) @ ( sK180_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5597]) ).
thf(5862,plain,
! [SV406: $i,SV1094: $i,SV1: $i,SV1130: $i] :
( ( ( ~ ( in @ SV1130 @ SV1 )
| ~ ( in @ SV1094 @ SV1130 )
| ( in @ SV1094 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( SV406
= ( sK300_SY529 @ SV406 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5598]) ).
thf(5863,plain,
! [SV406: $i,SV1095: $i,SV1: $i,SV1131: $i] :
( ( ( ~ ( in @ SV1131 @ SV1 )
| ~ ( in @ SV1095 @ SV1131 )
| ( in @ SV1095 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV406 @ ( sK300_SY529 @ SV406 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5599]) ).
thf(5864,plain,
! [SV408: $i,SV1096: $i,SV1: $i,SV1132: $i] :
( ( ( ~ ( in @ SV1132 @ SV1 )
| ~ ( in @ SV1096 @ SV1132 )
| ( in @ SV1096 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK301_SY530 @ SV408 @ SV1 ) @ ( sK181_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5600]) ).
thf(5865,plain,
! [SV408: $i,SV1097: $i,SV1: $i,SV1133: $i] :
( ( ( ~ ( in @ SV1133 @ SV1 )
| ~ ( in @ SV1097 @ SV1133 )
| ( in @ SV1097 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( SV408
= ( sK301_SY530 @ SV408 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5601]) ).
thf(5866,plain,
! [SV408: $i,SV1098: $i,SV1: $i,SV1134: $i] :
( ( ( ~ ( in @ SV1134 @ SV1 )
| ~ ( in @ SV1098 @ SV1134 )
| ( in @ SV1098 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV408 @ ( sK301_SY530 @ SV408 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5602]) ).
thf(5867,plain,
! [SV1: $i,SV516: $i] :
( ( ( in @ ( sK312_SY589 @ SV516 @ SV1 ) @ ( sK196_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5603]) ).
thf(5868,plain,
! [SV1: $i,SV516: $i] :
( ( ( SV516
= ( sK312_SY589 @ SV516 @ SV1 ) )
= $false )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5604]) ).
thf(5869,plain,
! [SV1: $i,SV516: $i] :
( ( ( in @ SV516 @ ( sK312_SY589 @ SV516 @ SV1 ) )
= $false )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5604]) ).
thf(5870,plain,
! [SV1: $i,SV518: $i] :
( ( ( in @ ( sK313_SY590 @ SV518 @ SV1 ) @ ( sK197_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5605]) ).
thf(5871,plain,
! [SV1: $i,SV518: $i] :
( ( ( SV518
= ( sK313_SY590 @ SV518 @ SV1 ) )
= $false )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5606]) ).
thf(5872,plain,
! [SV1: $i,SV518: $i] :
( ( ( in @ SV518 @ ( sK313_SY590 @ SV518 @ SV1 ) )
= $false )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5606]) ).
thf(5873,plain,
! [SV1: $i,SV604: $i] :
( ( ( ~ ( in @ ( sK328_SY659 @ SV604 @ SV1 ) @ ( sK212_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5608]) ).
thf(5874,plain,
! [SV1: $i,SV604: $i] :
( ( ( ( SV604
= ( sK328_SY659 @ SV604 @ SV1 ) )
| ( in @ SV604 @ ( sK328_SY659 @ SV604 @ SV1 ) ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5608]) ).
thf(5875,plain,
! [SV1: $i,SV606: $i] :
( ( ( ~ ( in @ ( sK329_SY660 @ SV606 @ SV1 ) @ ( sK213_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5610]) ).
thf(5876,plain,
! [SV1: $i,SV606: $i] :
( ( ( ( SV606
= ( sK329_SY660 @ SV606 @ SV1 ) )
| ( in @ SV606 @ ( sK329_SY660 @ SV606 @ SV1 ) ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5610]) ).
thf(5877,plain,
! [SV1: $i,SV608: $i] :
( ( ( ~ ( in @ ( sK330_SY661 @ SV608 @ SV1 ) @ ( sK214_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5612]) ).
thf(5878,plain,
! [SV1: $i,SV608: $i] :
( ( ( ( SV608
= ( sK330_SY661 @ SV608 @ SV1 ) )
| ( in @ SV608 @ ( sK330_SY661 @ SV608 @ SV1 ) ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5612]) ).
thf(5879,plain,
! [SV1: $i,SV610: $i] :
( ( ( ~ ( in @ ( sK331_SY662 @ SV610 @ SV1 ) @ ( sK215_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5614]) ).
thf(5880,plain,
! [SV1: $i,SV610: $i] :
( ( ( ( SV610
= ( sK331_SY662 @ SV610 @ SV1 ) )
| ( in @ SV610 @ ( sK331_SY662 @ SV610 @ SV1 ) ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5614]) ).
thf(5881,plain,
! [SV1: $i,SV524: $i] :
( ( ( in @ ( sK314_SY595 @ SV524 @ SV1 ) @ ( sK198_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5615]) ).
thf(5882,plain,
! [SV1: $i,SV524: $i] :
( ( ( SV524
= ( sK314_SY595 @ SV524 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5616]) ).
thf(5883,plain,
! [SV1: $i,SV524: $i] :
( ( ( in @ SV524 @ ( sK314_SY595 @ SV524 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5616]) ).
thf(5884,plain,
! [SV1: $i,SV526: $i] :
( ( ( in @ ( sK315_SY596 @ SV526 @ SV1 ) @ ( sK199_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5617]) ).
thf(5885,plain,
! [SV1: $i,SV526: $i] :
( ( ( SV526
= ( sK315_SY596 @ SV526 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5618]) ).
thf(5886,plain,
! [SV1: $i,SV526: $i] :
( ( ( in @ SV526 @ ( sK315_SY596 @ SV526 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5618]) ).
thf(5887,plain,
! [SV410: $i,SV1099: $i,SV1: $i,SV1135: $i] :
( ( ( ~ ( in @ SV1135 @ SV1 )
| ~ ( in @ SV1099 @ SV1135 )
| ( in @ SV1099 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK302_SY531 @ SV410 @ SV1 ) @ ( sK182_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5619]) ).
thf(5888,plain,
! [SV410: $i,SV1100: $i,SV1: $i,SV1136: $i] :
( ( ( ~ ( in @ SV1136 @ SV1 )
| ~ ( in @ SV1100 @ SV1136 )
| ( in @ SV1100 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( SV410
= ( sK302_SY531 @ SV410 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5620]) ).
thf(5889,plain,
! [SV410: $i,SV1101: $i,SV1: $i,SV1137: $i] :
( ( ( ~ ( in @ SV1137 @ SV1 )
| ~ ( in @ SV1101 @ SV1137 )
| ( in @ SV1101 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV410 @ ( sK302_SY531 @ SV410 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5621]) ).
thf(5890,plain,
! [SV412: $i,SV1102: $i,SV1: $i,SV1138: $i] :
( ( ( ~ ( in @ SV1138 @ SV1 )
| ~ ( in @ SV1102 @ SV1138 )
| ( in @ SV1102 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK303_SY532 @ SV412 @ SV1 ) @ ( sK183_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5622]) ).
thf(5891,plain,
! [SV412: $i,SV1103: $i,SV1: $i,SV1139: $i] :
( ( ( ~ ( in @ SV1139 @ SV1 )
| ~ ( in @ SV1103 @ SV1139 )
| ( in @ SV1103 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( SV412
= ( sK303_SY532 @ SV412 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5623]) ).
thf(5892,plain,
! [SV412: $i,SV1104: $i,SV1: $i,SV1140: $i] :
( ( ( ~ ( in @ SV1140 @ SV1 )
| ~ ( in @ SV1104 @ SV1140 )
| ( in @ SV1104 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV412 @ ( sK303_SY532 @ SV412 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5624]) ).
thf(5893,plain,
! [SV1: $i,SV530: $i] :
( ( ( in @ ( sK316_SY597 @ SV530 @ SV1 ) @ ( sK200_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5625]) ).
thf(5894,plain,
! [SV1: $i,SV530: $i] :
( ( ( SV530
= ( sK316_SY597 @ SV530 @ SV1 ) )
= $false )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5626]) ).
thf(5895,plain,
! [SV1: $i,SV530: $i] :
( ( ( in @ SV530 @ ( sK316_SY597 @ SV530 @ SV1 ) )
= $false )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5626]) ).
thf(5896,plain,
! [SV1: $i,SV532: $i] :
( ( ( in @ ( sK317_SY598 @ SV532 @ SV1 ) @ ( sK201_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5627]) ).
thf(5897,plain,
! [SV1: $i,SV532: $i] :
( ( ( SV532
= ( sK317_SY598 @ SV532 @ SV1 ) )
= $false )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5628]) ).
thf(5898,plain,
! [SV1: $i,SV532: $i] :
( ( ( in @ SV532 @ ( sK317_SY598 @ SV532 @ SV1 ) )
= $false )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5628]) ).
thf(5899,plain,
! [SV1: $i,SV616: $i] :
( ( ( ~ ( in @ ( sK332_SY667 @ SV616 @ SV1 ) @ ( sK216_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5630]) ).
thf(5900,plain,
! [SV1: $i,SV616: $i] :
( ( ( ( SV616
= ( sK332_SY667 @ SV616 @ SV1 ) )
| ( in @ SV616 @ ( sK332_SY667 @ SV616 @ SV1 ) ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5630]) ).
thf(5901,plain,
! [SV1: $i,SV618: $i] :
( ( ( ~ ( in @ ( sK333_SY668 @ SV618 @ SV1 ) @ ( sK217_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5632]) ).
thf(5902,plain,
! [SV1: $i,SV618: $i] :
( ( ( ( SV618
= ( sK333_SY668 @ SV618 @ SV1 ) )
| ( in @ SV618 @ ( sK333_SY668 @ SV618 @ SV1 ) ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5632]) ).
thf(5903,plain,
! [SV1: $i,SV620: $i] :
( ( ( ~ ( in @ ( sK334_SY669 @ SV620 @ SV1 ) @ ( sK218_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5634]) ).
thf(5904,plain,
! [SV1: $i,SV620: $i] :
( ( ( ( SV620
= ( sK334_SY669 @ SV620 @ SV1 ) )
| ( in @ SV620 @ ( sK334_SY669 @ SV620 @ SV1 ) ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5634]) ).
thf(5905,plain,
! [SV1: $i,SV622: $i] :
( ( ( ~ ( in @ ( sK335_SY670 @ SV622 @ SV1 ) @ ( sK219_SY8 @ SV1 ) ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5636]) ).
thf(5906,plain,
! [SV1: $i,SV622: $i] :
( ( ( ( SV622
= ( sK335_SY670 @ SV622 @ SV1 ) )
| ( in @ SV622 @ ( sK335_SY670 @ SV622 @ SV1 ) ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5636]) ).
thf(5907,plain,
! [SV1: $i,SV538: $i] :
( ( ( in @ ( sK318_SY603 @ SV538 @ SV1 ) @ ( sK202_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5637]) ).
thf(5908,plain,
! [SV1: $i,SV538: $i] :
( ( ( SV538
= ( sK318_SY603 @ SV538 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5638]) ).
thf(5909,plain,
! [SV1: $i,SV538: $i] :
( ( ( in @ SV538 @ ( sK318_SY603 @ SV538 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5638]) ).
thf(5910,plain,
! [SV1: $i,SV540: $i] :
( ( ( in @ ( sK319_SY604 @ SV540 @ SV1 ) @ ( sK203_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5639]) ).
thf(5911,plain,
! [SV1: $i,SV540: $i] :
( ( ( SV540
= ( sK319_SY604 @ SV540 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5640]) ).
thf(5912,plain,
! [SV1: $i,SV540: $i] :
( ( ( in @ SV540 @ ( sK319_SY604 @ SV540 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5640]) ).
thf(5913,plain,
! [SV178: $i,SV1: $i,SV871: $i,SV799: $i] :
( ( ( in @ SV799 @ SV871 )
= $false )
| ( ( in @ SV799 @ SV1 )
= $true )
| ( ( in @ SV871 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK254_SY327 @ SV178 @ SV1 ) @ ( sK118_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5641]) ).
thf(5914,plain,
! [SV178: $i,SV1: $i,SV872: $i,SV800: $i] :
( ( ( in @ SV800 @ SV872 )
= $false )
| ( ( in @ SV800 @ SV1 )
= $true )
| ( ( in @ SV872 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( SV178
= ( sK254_SY327 @ SV178 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5642]) ).
thf(5915,plain,
! [SV178: $i,SV1: $i,SV873: $i,SV801: $i] :
( ( ( in @ SV801 @ SV873 )
= $false )
| ( ( in @ SV801 @ SV1 )
= $true )
| ( ( in @ SV873 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV178 @ ( sK118_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV178 @ ( sK254_SY327 @ SV178 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5643]) ).
thf(5916,plain,
! [SV180: $i,SV1: $i,SV874: $i,SV802: $i] :
( ( ( in @ SV802 @ SV874 )
= $false )
| ( ( in @ SV802 @ SV1 )
= $true )
| ( ( in @ SV874 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK255_SY328 @ SV180 @ SV1 ) @ ( sK119_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5644]) ).
thf(5917,plain,
! [SV180: $i,SV1: $i,SV875: $i,SV803: $i] :
( ( ( in @ SV803 @ SV875 )
= $false )
| ( ( in @ SV803 @ SV1 )
= $true )
| ( ( in @ SV875 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( SV180
= ( sK255_SY328 @ SV180 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5645]) ).
thf(5918,plain,
! [SV180: $i,SV1: $i,SV876: $i,SV804: $i] :
( ( ( in @ SV804 @ SV876 )
= $false )
| ( ( in @ SV804 @ SV1 )
= $true )
| ( ( in @ SV876 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK55_SY7 @ SV1 ) @ ( sK55_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV180 @ ( sK119_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV180 @ ( sK255_SY328 @ SV180 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5646]) ).
thf(5919,plain,
! [SV298: $i,SV937: $i,SV1: $i,SV1021: $i] :
( ( ( in @ SV1021 @ SV1 )
= $false )
| ( ( ~ ( in @ SV937 @ SV1021 )
| ( in @ SV937 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK276_SY433 @ SV298 @ SV1 ) @ ( sK148_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5647]) ).
thf(5920,plain,
! [SV298: $i,SV938: $i,SV1: $i,SV1022: $i] :
( ( ( in @ SV1022 @ SV1 )
= $false )
| ( ( ~ ( in @ SV938 @ SV1022 )
| ( in @ SV938 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( SV298
= ( sK276_SY433 @ SV298 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5648]) ).
thf(5921,plain,
! [SV298: $i,SV939: $i,SV1: $i,SV1023: $i] :
( ( ( in @ SV1023 @ SV1 )
= $false )
| ( ( ~ ( in @ SV939 @ SV1023 )
| ( in @ SV939 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV298 @ ( sK276_SY433 @ SV298 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5649]) ).
thf(5922,plain,
! [SV300: $i,SV940: $i,SV1: $i,SV1024: $i] :
( ( ( in @ SV1024 @ SV1 )
= $false )
| ( ( ~ ( in @ SV940 @ SV1024 )
| ( in @ SV940 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK277_SY434 @ SV300 @ SV1 ) @ ( sK149_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5650]) ).
thf(5923,plain,
! [SV300: $i,SV941: $i,SV1: $i,SV1025: $i] :
( ( ( in @ SV1025 @ SV1 )
= $false )
| ( ( ~ ( in @ SV941 @ SV1025 )
| ( in @ SV941 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( SV300
= ( sK277_SY434 @ SV300 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5651]) ).
thf(5924,plain,
! [SV300: $i,SV942: $i,SV1: $i,SV1026: $i] :
( ( ( in @ SV1026 @ SV1 )
= $false )
| ( ( ~ ( in @ SV942 @ SV1026 )
| ( in @ SV942 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV300 @ ( sK277_SY434 @ SV300 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5652]) ).
thf(5925,plain,
! [SV364: $i,SV1027: $i,SV1: $i,SV1105: $i] :
( ( ( ~ ( in @ SV1105 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1027 @ SV1105 )
| ( in @ SV1027 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK292_SY507 @ SV364 @ SV1 ) @ ( sK172_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5653]) ).
thf(5926,plain,
! [SV364: $i,SV1028: $i,SV1: $i,SV1106: $i] :
( ( ( ~ ( in @ SV1106 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1028 @ SV1106 )
| ( in @ SV1028 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( SV364
= ( sK292_SY507 @ SV364 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5654]) ).
thf(5927,plain,
! [SV364: $i,SV1029: $i,SV1: $i,SV1107: $i] :
( ( ( ~ ( in @ SV1107 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1029 @ SV1107 )
| ( in @ SV1029 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK292_SY507 @ SV364 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5655]) ).
thf(5928,plain,
! [SV366: $i,SV1030: $i,SV1: $i,SV1108: $i] :
( ( ( ~ ( in @ SV1108 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1030 @ SV1108 )
| ( in @ SV1030 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK293_SY508 @ SV366 @ SV1 ) @ ( sK173_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5656]) ).
thf(5929,plain,
! [SV366: $i,SV1031: $i,SV1: $i,SV1109: $i] :
( ( ( ~ ( in @ SV1109 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1031 @ SV1109 )
| ( in @ SV1031 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( SV366
= ( sK293_SY508 @ SV366 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5657]) ).
thf(5930,plain,
! [SV366: $i,SV1032: $i,SV1: $i,SV1110: $i] :
( ( ( ~ ( in @ SV1110 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1032 @ SV1110 )
| ( in @ SV1032 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK293_SY508 @ SV366 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5658]) ).
thf(5931,plain,
! [SV368: $i,SV1033: $i,SV1: $i,SV1111: $i] :
( ( ( ~ ( in @ SV1111 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1033 @ SV1111 )
| ( in @ SV1033 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK294_SY509 @ SV368 @ SV1 ) @ ( sK174_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5659]) ).
thf(5932,plain,
! [SV368: $i,SV1034: $i,SV1: $i,SV1112: $i] :
( ( ( ~ ( in @ SV1112 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1034 @ SV1112 )
| ( in @ SV1034 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( SV368
= ( sK294_SY509 @ SV368 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5660]) ).
thf(5933,plain,
! [SV368: $i,SV1035: $i,SV1: $i,SV1113: $i] :
( ( ( ~ ( in @ SV1113 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1035 @ SV1113 )
| ( in @ SV1035 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK294_SY509 @ SV368 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5661]) ).
thf(5934,plain,
! [SV370: $i,SV1036: $i,SV1: $i,SV1114: $i] :
( ( ( ~ ( in @ SV1114 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1036 @ SV1114 )
| ( in @ SV1036 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK295_SY510 @ SV370 @ SV1 ) @ ( sK175_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5662]) ).
thf(5935,plain,
! [SV370: $i,SV1037: $i,SV1: $i,SV1115: $i] :
( ( ( ~ ( in @ SV1115 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1037 @ SV1115 )
| ( in @ SV1037 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( SV370
= ( sK295_SY510 @ SV370 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5663]) ).
thf(5936,plain,
! [SV370: $i,SV1038: $i,SV1: $i,SV1116: $i] :
( ( ( ~ ( in @ SV1116 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1038 @ SV1116 )
| ( in @ SV1038 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK295_SY510 @ SV370 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5664]) ).
thf(5937,plain,
! [SV306: $i,SV943: $i,SV1: $i,SV1039: $i] :
( ( ( in @ SV1039 @ SV1 )
= $false )
| ( ( ~ ( in @ SV943 @ SV1039 )
| ( in @ SV943 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK278_SY439 @ SV306 @ SV1 ) @ ( sK150_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5665]) ).
thf(5938,plain,
! [SV306: $i,SV944: $i,SV1: $i,SV1040: $i] :
( ( ( in @ SV1040 @ SV1 )
= $false )
| ( ( ~ ( in @ SV944 @ SV1040 )
| ( in @ SV944 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( SV306
= ( sK278_SY439 @ SV306 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5666]) ).
thf(5939,plain,
! [SV306: $i,SV945: $i,SV1: $i,SV1041: $i] :
( ( ( in @ SV1041 @ SV1 )
= $false )
| ( ( ~ ( in @ SV945 @ SV1041 )
| ( in @ SV945 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK278_SY439 @ SV306 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5667]) ).
thf(5940,plain,
! [SV308: $i,SV946: $i,SV1: $i,SV1042: $i] :
( ( ( in @ SV1042 @ SV1 )
= $false )
| ( ( ~ ( in @ SV946 @ SV1042 )
| ( in @ SV946 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK279_SY440 @ SV308 @ SV1 ) @ ( sK151_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5668]) ).
thf(5941,plain,
! [SV308: $i,SV947: $i,SV1: $i,SV1043: $i] :
( ( ( in @ SV1043 @ SV1 )
= $false )
| ( ( ~ ( in @ SV947 @ SV1043 )
| ( in @ SV947 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( SV308
= ( sK279_SY440 @ SV308 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5669]) ).
thf(5942,plain,
! [SV308: $i,SV948: $i,SV1: $i,SV1044: $i] :
( ( ( in @ SV1044 @ SV1 )
= $false )
| ( ( ~ ( in @ SV948 @ SV1044 )
| ( in @ SV948 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK279_SY440 @ SV308 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5670]) ).
thf(5943,plain,
! [SV188: $i,SV1: $i,SV877: $i,SV811: $i] :
( ( ( in @ SV811 @ SV877 )
= $false )
| ( ( in @ SV811 @ SV1 )
= $true )
| ( ( in @ SV877 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK256_SY331 @ SV188 @ SV1 ) @ ( sK120_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5677]) ).
thf(5944,plain,
! [SV188: $i,SV1: $i,SV878: $i,SV812: $i] :
( ( ( in @ SV812 @ SV878 )
= $false )
| ( ( in @ SV812 @ SV1 )
= $true )
| ( ( in @ SV878 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( SV188
= ( sK256_SY331 @ SV188 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5678]) ).
thf(5945,plain,
! [SV188: $i,SV1: $i,SV879: $i,SV813: $i] :
( ( ( in @ SV813 @ SV879 )
= $false )
| ( ( in @ SV813 @ SV1 )
= $true )
| ( ( in @ SV879 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK120_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV188 @ ( sK256_SY331 @ SV188 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5679]) ).
thf(5946,plain,
! [SV190: $i,SV1: $i,SV880: $i,SV814: $i] :
( ( ( in @ SV814 @ SV880 )
= $false )
| ( ( in @ SV814 @ SV1 )
= $true )
| ( ( in @ SV880 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK257_SY332 @ SV190 @ SV1 ) @ ( sK121_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5680]) ).
thf(5947,plain,
! [SV190: $i,SV1: $i,SV881: $i,SV815: $i] :
( ( ( in @ SV815 @ SV881 )
= $false )
| ( ( in @ SV815 @ SV1 )
= $true )
| ( ( in @ SV881 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( SV190
= ( sK257_SY332 @ SV190 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5681]) ).
thf(5948,plain,
! [SV190: $i,SV1: $i,SV882: $i,SV816: $i] :
( ( ( in @ SV816 @ SV882 )
= $false )
| ( ( in @ SV816 @ SV1 )
= $true )
| ( ( in @ SV882 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK56_SY7 @ SV1 ) @ ( sK56_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK15_SY5 @ SV1 )
= ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK121_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV190 @ ( sK257_SY332 @ SV190 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5682]) ).
thf(5949,plain,
! [SV192: $i,SV1: $i,SV883: $i,SV817: $i] :
( ( ( in @ SV817 @ SV883 )
= $false )
| ( ( in @ SV817 @ SV1 )
= $true )
| ( ( in @ SV883 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK258_SY333 @ SV192 @ SV1 ) @ ( sK122_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5683]) ).
thf(5950,plain,
! [SV192: $i,SV1: $i,SV884: $i,SV818: $i] :
( ( ( in @ SV818 @ SV884 )
= $false )
| ( ( in @ SV818 @ SV1 )
= $true )
| ( ( in @ SV884 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( SV192
= ( sK258_SY333 @ SV192 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5684]) ).
thf(5951,plain,
! [SV192: $i,SV1: $i,SV885: $i,SV819: $i] :
( ( ( in @ SV819 @ SV885 )
= $false )
| ( ( in @ SV819 @ SV1 )
= $true )
| ( ( in @ SV885 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK122_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV192 @ ( sK258_SY333 @ SV192 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5685]) ).
thf(5952,plain,
! [SV194: $i,SV1: $i,SV886: $i,SV820: $i] :
( ( ( in @ SV820 @ SV886 )
= $false )
| ( ( in @ SV820 @ SV1 )
= $true )
| ( ( in @ SV886 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK259_SY334 @ SV194 @ SV1 ) @ ( sK123_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5686]) ).
thf(5953,plain,
! [SV194: $i,SV1: $i,SV887: $i,SV821: $i] :
( ( ( in @ SV821 @ SV887 )
= $false )
| ( ( in @ SV821 @ SV1 )
= $true )
| ( ( in @ SV887 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( SV194
= ( sK259_SY334 @ SV194 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5687]) ).
thf(5954,plain,
! [SV194: $i,SV1: $i,SV888: $i,SV822: $i] :
( ( ( in @ SV822 @ SV888 )
= $false )
| ( ( in @ SV822 @ SV1 )
= $true )
| ( ( in @ SV888 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK57_SY7 @ SV1 ) @ ( sK57_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK15_SY5 @ SV1 ) @ ( sK19_SY31 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK123_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV194 @ ( sK259_SY334 @ SV194 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5688]) ).
thf(5955,plain,
! [SV248: $i,SV1: $i,SV949: $i,SV889: $i] :
( ( ( ~ ( in @ SV889 @ SV949 ) )
= $true )
| ( ( in @ SV889 @ SV1 )
= $true )
| ( ( in @ SV949 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK264_SY373 @ SV248 @ SV1 ) @ ( sK128_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5701]) ).
thf(5956,plain,
! [SV248: $i,SV1: $i,SV950: $i,SV890: $i] :
( ( ( ~ ( in @ SV890 @ SV950 ) )
= $true )
| ( ( in @ SV890 @ SV1 )
= $true )
| ( ( in @ SV950 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( SV248
= ( sK264_SY373 @ SV248 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5702]) ).
thf(5957,plain,
! [SV248: $i,SV1: $i,SV951: $i,SV891: $i] :
( ( ( ~ ( in @ SV891 @ SV951 ) )
= $true )
| ( ( in @ SV891 @ SV1 )
= $true )
| ( ( in @ SV951 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV248 @ ( sK264_SY373 @ SV248 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5703]) ).
thf(5958,plain,
! [SV250: $i,SV1: $i,SV952: $i,SV892: $i] :
( ( ( ~ ( in @ SV892 @ SV952 ) )
= $true )
| ( ( in @ SV892 @ SV1 )
= $true )
| ( ( in @ SV952 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK265_SY374 @ SV250 @ SV1 ) @ ( sK129_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5704]) ).
thf(5959,plain,
! [SV250: $i,SV1: $i,SV953: $i,SV893: $i] :
( ( ( ~ ( in @ SV893 @ SV953 ) )
= $true )
| ( ( in @ SV893 @ SV1 )
= $true )
| ( ( in @ SV953 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( SV250
= ( sK265_SY374 @ SV250 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5705]) ).
thf(5960,plain,
! [SV250: $i,SV1: $i,SV954: $i,SV894: $i] :
( ( ( ~ ( in @ SV894 @ SV954 ) )
= $true )
| ( ( in @ SV894 @ SV1 )
= $true )
| ( ( in @ SV954 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV250 @ ( sK265_SY374 @ SV250 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5706]) ).
thf(5961,plain,
! [SV316: $i,SV955: $i,SV1: $i,SV1045: $i] :
( ( ( in @ SV1045 @ SV1 )
= $false )
| ( ( ~ ( in @ SV955 @ SV1045 )
| ( in @ SV955 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK280_SY443 @ SV316 @ SV1 ) @ ( sK152_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5707]) ).
thf(5962,plain,
! [SV316: $i,SV956: $i,SV1: $i,SV1046: $i] :
( ( ( in @ SV1046 @ SV1 )
= $false )
| ( ( ~ ( in @ SV956 @ SV1046 )
| ( in @ SV956 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( SV316
= ( sK280_SY443 @ SV316 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5708]) ).
thf(5963,plain,
! [SV316: $i,SV957: $i,SV1: $i,SV1047: $i] :
( ( ( in @ SV1047 @ SV1 )
= $false )
| ( ( ~ ( in @ SV957 @ SV1047 )
| ( in @ SV957 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK280_SY443 @ SV316 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5709]) ).
thf(5964,plain,
! [SV318: $i,SV958: $i,SV1: $i,SV1048: $i] :
( ( ( in @ SV1048 @ SV1 )
= $false )
| ( ( ~ ( in @ SV958 @ SV1048 )
| ( in @ SV958 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK281_SY444 @ SV318 @ SV1 ) @ ( sK153_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5710]) ).
thf(5965,plain,
! [SV318: $i,SV959: $i,SV1: $i,SV1049: $i] :
( ( ( in @ SV1049 @ SV1 )
= $false )
| ( ( ~ ( in @ SV959 @ SV1049 )
| ( in @ SV959 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( SV318
= ( sK281_SY444 @ SV318 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5711]) ).
thf(5966,plain,
! [SV318: $i,SV960: $i,SV1: $i,SV1050: $i] :
( ( ( in @ SV1050 @ SV1 )
= $false )
| ( ( ~ ( in @ SV960 @ SV1050 )
| ( in @ SV960 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK281_SY444 @ SV318 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5712]) ).
thf(5967,plain,
! [SV320: $i,SV961: $i,SV1: $i,SV1051: $i] :
( ( ( in @ SV1051 @ SV1 )
= $false )
| ( ( ~ ( in @ SV961 @ SV1051 )
| ( in @ SV961 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK282_SY445 @ SV320 @ SV1 ) @ ( sK154_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5713]) ).
thf(5968,plain,
! [SV320: $i,SV962: $i,SV1: $i,SV1052: $i] :
( ( ( in @ SV1052 @ SV1 )
= $false )
| ( ( ~ ( in @ SV962 @ SV1052 )
| ( in @ SV962 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( SV320
= ( sK282_SY445 @ SV320 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5714]) ).
thf(5969,plain,
! [SV320: $i,SV963: $i,SV1: $i,SV1053: $i] :
( ( ( in @ SV1053 @ SV1 )
= $false )
| ( ( ~ ( in @ SV963 @ SV1053 )
| ( in @ SV963 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK282_SY445 @ SV320 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5715]) ).
thf(5970,plain,
! [SV322: $i,SV964: $i,SV1: $i,SV1054: $i] :
( ( ( in @ SV1054 @ SV1 )
= $false )
| ( ( ~ ( in @ SV964 @ SV1054 )
| ( in @ SV964 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK283_SY446 @ SV322 @ SV1 ) @ ( sK155_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5716]) ).
thf(5971,plain,
! [SV322: $i,SV965: $i,SV1: $i,SV1055: $i] :
( ( ( in @ SV1055 @ SV1 )
= $false )
| ( ( ~ ( in @ SV965 @ SV1055 )
| ( in @ SV965 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( SV322
= ( sK283_SY446 @ SV322 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5717]) ).
thf(5972,plain,
! [SV322: $i,SV966: $i,SV1: $i,SV1056: $i] :
( ( ( in @ SV1056 @ SV1 )
= $false )
| ( ( ~ ( in @ SV966 @ SV1056 )
| ( in @ SV966 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK283_SY446 @ SV322 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5718]) ).
thf(5973,plain,
! [SV256: $i,SV1: $i,SV967: $i,SV895: $i] :
( ( ( ~ ( in @ SV895 @ SV967 ) )
= $true )
| ( ( in @ SV895 @ SV1 )
= $true )
| ( ( in @ SV967 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK266_SY379 @ SV256 @ SV1 ) @ ( sK130_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5719]) ).
thf(5974,plain,
! [SV256: $i,SV1: $i,SV968: $i,SV896: $i] :
( ( ( ~ ( in @ SV896 @ SV968 ) )
= $true )
| ( ( in @ SV896 @ SV1 )
= $true )
| ( ( in @ SV968 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( SV256
= ( sK266_SY379 @ SV256 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5720]) ).
thf(5975,plain,
! [SV256: $i,SV1: $i,SV969: $i,SV897: $i] :
( ( ( ~ ( in @ SV897 @ SV969 ) )
= $true )
| ( ( in @ SV897 @ SV1 )
= $true )
| ( ( in @ SV969 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK266_SY379 @ SV256 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5721]) ).
thf(5976,plain,
! [SV258: $i,SV1: $i,SV970: $i,SV898: $i] :
( ( ( ~ ( in @ SV898 @ SV970 ) )
= $true )
| ( ( in @ SV898 @ SV1 )
= $true )
| ( ( in @ SV970 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK267_SY380 @ SV258 @ SV1 ) @ ( sK131_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5722]) ).
thf(5977,plain,
! [SV258: $i,SV1: $i,SV971: $i,SV899: $i] :
( ( ( ~ ( in @ SV899 @ SV971 ) )
= $true )
| ( ( in @ SV899 @ SV1 )
= $true )
| ( ( in @ SV971 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( SV258
= ( sK267_SY380 @ SV258 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5723]) ).
thf(5978,plain,
! [SV258: $i,SV1: $i,SV972: $i,SV900: $i] :
( ( ( ~ ( in @ SV900 @ SV972 ) )
= $true )
| ( ( in @ SV900 @ SV1 )
= $true )
| ( ( in @ SV972 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK267_SY380 @ SV258 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5724]) ).
thf(5979,plain,
! [SV382: $i,SV1057: $i,SV1: $i,SV1117: $i] :
( ( ( ~ ( in @ SV1117 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1057 @ SV1117 )
| ( in @ SV1057 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK296_SY517 @ SV382 @ SV1 ) @ ( sK176_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5725]) ).
thf(5980,plain,
! [SV382: $i,SV1058: $i,SV1: $i,SV1118: $i] :
( ( ( ~ ( in @ SV1118 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1058 @ SV1118 )
| ( in @ SV1058 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( SV382
= ( sK296_SY517 @ SV382 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5726]) ).
thf(5981,plain,
! [SV382: $i,SV1059: $i,SV1: $i,SV1119: $i] :
( ( ( ~ ( in @ SV1119 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1059 @ SV1119 )
| ( in @ SV1059 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV382 @ ( sK296_SY517 @ SV382 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5727]) ).
thf(5982,plain,
! [SV384: $i,SV1060: $i,SV1: $i,SV1120: $i] :
( ( ( ~ ( in @ SV1120 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1060 @ SV1120 )
| ( in @ SV1060 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK297_SY518 @ SV384 @ SV1 ) @ ( sK177_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5728]) ).
thf(5983,plain,
! [SV384: $i,SV1061: $i,SV1: $i,SV1121: $i] :
( ( ( ~ ( in @ SV1121 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1061 @ SV1121 )
| ( in @ SV1061 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( SV384
= ( sK297_SY518 @ SV384 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5729]) ).
thf(5984,plain,
! [SV384: $i,SV1062: $i,SV1: $i,SV1122: $i] :
( ( ( ~ ( in @ SV1122 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1062 @ SV1122 )
| ( in @ SV1062 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV384 @ ( sK297_SY518 @ SV384 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5730]) ).
thf(5985,plain,
! [SV482: $i,SV1141: $i,SV1: $i] :
( ( ( ! [SY905: $i] :
( ~ ( in @ SY905 @ SV1 )
| ~ ( in @ SV1141 @ SY905 )
| ( in @ SV1141 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK304_SY573 @ SV482 @ SV1 ) @ ( sK186_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5731]) ).
thf(5986,plain,
! [SV482: $i,SV1142: $i,SV1: $i] :
( ( ( ! [SY906: $i] :
( ~ ( in @ SY906 @ SV1 )
| ~ ( in @ SV1142 @ SY906 )
| ( in @ SV1142 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( SV482
= ( sK304_SY573 @ SV482 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5732]) ).
thf(5987,plain,
! [SV482: $i,SV1143: $i,SV1: $i] :
( ( ( ! [SY907: $i] :
( ~ ( in @ SY907 @ SV1 )
| ~ ( in @ SV1143 @ SY907 )
| ( in @ SV1143 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV482 @ ( sK304_SY573 @ SV482 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5733]) ).
thf(5988,plain,
! [SV484: $i,SV1144: $i,SV1: $i] :
( ( ( ! [SY908: $i] :
( ~ ( in @ SY908 @ SV1 )
| ~ ( in @ SV1144 @ SY908 )
| ( in @ SV1144 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK305_SY574 @ SV484 @ SV1 ) @ ( sK187_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5734]) ).
thf(5989,plain,
! [SV484: $i,SV1145: $i,SV1: $i] :
( ( ( ! [SY909: $i] :
( ~ ( in @ SY909 @ SV1 )
| ~ ( in @ SV1145 @ SY909 )
| ( in @ SV1145 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( SV484
= ( sK305_SY574 @ SV484 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5735]) ).
thf(5990,plain,
! [SV484: $i,SV1146: $i,SV1: $i] :
( ( ( ! [SY910: $i] :
( ~ ( in @ SY910 @ SV1 )
| ~ ( in @ SV1146 @ SY910 )
| ( in @ SV1146 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV484 @ ( sK305_SY574 @ SV484 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5736]) ).
thf(5991,plain,
! [SV1: $i,SV562: $i] :
( ( ( in @ ( sK320_SY625 @ SV562 @ SV1 ) @ ( sK204_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5737]) ).
thf(5992,plain,
! [SV1: $i,SV562: $i] :
( ( ( SV562
= ( sK320_SY625 @ SV562 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5738]) ).
thf(5993,plain,
! [SV1: $i,SV562: $i] :
( ( ( in @ SV562 @ ( sK320_SY625 @ SV562 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5738]) ).
thf(5994,plain,
! [SV1: $i,SV564: $i] :
( ( ( in @ ( sK321_SY626 @ SV564 @ SV1 ) @ ( sK205_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5739]) ).
thf(5995,plain,
! [SV1: $i,SV564: $i] :
( ( ( SV564
= ( sK321_SY626 @ SV564 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5740]) ).
thf(5996,plain,
! [SV1: $i,SV564: $i] :
( ( ( in @ SV564 @ ( sK321_SY626 @ SV564 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5740]) ).
thf(5997,plain,
! [SV1: $i,SV566: $i] :
( ( ( in @ ( sK322_SY627 @ SV566 @ SV1 ) @ ( sK206_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5741]) ).
thf(5998,plain,
! [SV1: $i,SV566: $i] :
( ( ( SV566
= ( sK322_SY627 @ SV566 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5742]) ).
thf(5999,plain,
! [SV1: $i,SV566: $i] :
( ( ( in @ SV566 @ ( sK322_SY627 @ SV566 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5742]) ).
thf(6000,plain,
! [SV1: $i,SV568: $i] :
( ( ( in @ ( sK323_SY628 @ SV568 @ SV1 ) @ ( sK207_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5743]) ).
thf(6001,plain,
! [SV1: $i,SV568: $i] :
( ( ( SV568
= ( sK323_SY628 @ SV568 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5744]) ).
thf(6002,plain,
! [SV1: $i,SV568: $i] :
( ( ( in @ SV568 @ ( sK323_SY628 @ SV568 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5744]) ).
thf(6003,plain,
! [SV490: $i,SV1147: $i,SV1: $i] :
( ( ( ! [SY911: $i] :
( ~ ( in @ SY911 @ SV1 )
| ~ ( in @ SV1147 @ SY911 )
| ( in @ SV1147 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK306_SY579 @ SV490 @ SV1 ) @ ( sK188_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5745]) ).
thf(6004,plain,
! [SV490: $i,SV1148: $i,SV1: $i] :
( ( ( ! [SY912: $i] :
( ~ ( in @ SY912 @ SV1 )
| ~ ( in @ SV1148 @ SY912 )
| ( in @ SV1148 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( SV490
= ( sK306_SY579 @ SV490 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5746]) ).
thf(6005,plain,
! [SV490: $i,SV1149: $i,SV1: $i] :
( ( ( ! [SY913: $i] :
( ~ ( in @ SY913 @ SV1 )
| ~ ( in @ SV1149 @ SY913 )
| ( in @ SV1149 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK306_SY579 @ SV490 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5747]) ).
thf(6006,plain,
! [SV492: $i,SV1150: $i,SV1: $i] :
( ( ( ! [SY914: $i] :
( ~ ( in @ SY914 @ SV1 )
| ~ ( in @ SV1150 @ SY914 )
| ( in @ SV1150 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK307_SY580 @ SV492 @ SV1 ) @ ( sK189_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5748]) ).
thf(6007,plain,
! [SV492: $i,SV1151: $i,SV1: $i] :
( ( ( ! [SY915: $i] :
( ~ ( in @ SY915 @ SV1 )
| ~ ( in @ SV1151 @ SY915 )
| ( in @ SV1151 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( SV492
= ( sK307_SY580 @ SV492 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5749]) ).
thf(6008,plain,
! [SV492: $i,SV1152: $i,SV1: $i] :
( ( ( ! [SY916: $i] :
( ~ ( in @ SY916 @ SV1 )
| ~ ( in @ SV1152 @ SY916 )
| ( in @ SV1152 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK307_SY580 @ SV492 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5750]) ).
thf(6009,plain,
! [SV386: $i,SV1063: $i,SV1: $i,SV1123: $i] :
( ( ( ~ ( in @ SV1123 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1063 @ SV1123 )
| ( in @ SV1063 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK298_SY519 @ SV386 @ SV1 ) @ ( sK178_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5751]) ).
thf(6010,plain,
! [SV386: $i,SV1064: $i,SV1: $i,SV1124: $i] :
( ( ( ~ ( in @ SV1124 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1064 @ SV1124 )
| ( in @ SV1064 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( SV386
= ( sK298_SY519 @ SV386 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5752]) ).
thf(6011,plain,
! [SV386: $i,SV1065: $i,SV1: $i,SV1125: $i] :
( ( ( ~ ( in @ SV1125 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1065 @ SV1125 )
| ( in @ SV1065 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV386 @ ( sK298_SY519 @ SV386 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5753]) ).
thf(6012,plain,
! [SV388: $i,SV1066: $i,SV1: $i,SV1126: $i] :
( ( ( ~ ( in @ SV1126 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1066 @ SV1126 )
| ( in @ SV1066 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK299_SY520 @ SV388 @ SV1 ) @ ( sK179_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5754]) ).
thf(6013,plain,
! [SV388: $i,SV1067: $i,SV1: $i,SV1127: $i] :
( ( ( ~ ( in @ SV1127 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1067 @ SV1127 )
| ( in @ SV1067 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( SV388
= ( sK299_SY520 @ SV388 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5755]) ).
thf(6014,plain,
! [SV388: $i,SV1068: $i,SV1: $i,SV1128: $i] :
( ( ( ~ ( in @ SV1128 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1068 @ SV1128 )
| ( in @ SV1068 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV388 @ ( sK299_SY520 @ SV388 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5756]) ).
thf(6015,plain,
! [SV496: $i,SV1153: $i,SV1: $i] :
( ( ( ! [SY917: $i] :
( ~ ( in @ SY917 @ SV1 )
| ~ ( in @ SV1153 @ SY917 )
| ( in @ SV1153 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK308_SY581 @ SV496 @ SV1 ) @ ( sK190_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5757]) ).
thf(6016,plain,
! [SV496: $i,SV1154: $i,SV1: $i] :
( ( ( ! [SY918: $i] :
( ~ ( in @ SY918 @ SV1 )
| ~ ( in @ SV1154 @ SY918 )
| ( in @ SV1154 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( SV496
= ( sK308_SY581 @ SV496 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5758]) ).
thf(6017,plain,
! [SV496: $i,SV1155: $i,SV1: $i] :
( ( ( ! [SY919: $i] :
( ~ ( in @ SY919 @ SV1 )
| ~ ( in @ SV1155 @ SY919 )
| ( in @ SV1155 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV496 @ ( sK308_SY581 @ SV496 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5759]) ).
thf(6018,plain,
! [SV498: $i,SV1156: $i,SV1: $i] :
( ( ( ! [SY920: $i] :
( ~ ( in @ SY920 @ SV1 )
| ~ ( in @ SV1156 @ SY920 )
| ( in @ SV1156 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK309_SY582 @ SV498 @ SV1 ) @ ( sK191_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5760]) ).
thf(6019,plain,
! [SV498: $i,SV1157: $i,SV1: $i] :
( ( ( ! [SY921: $i] :
( ~ ( in @ SY921 @ SV1 )
| ~ ( in @ SV1157 @ SY921 )
| ( in @ SV1157 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( SV498
= ( sK309_SY582 @ SV498 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5761]) ).
thf(6020,plain,
! [SV498: $i,SV1158: $i,SV1: $i] :
( ( ( ! [SY922: $i] :
( ~ ( in @ SY922 @ SV1 )
| ~ ( in @ SV1158 @ SY922 )
| ( in @ SV1158 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV498 @ ( sK309_SY582 @ SV498 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5762]) ).
thf(6021,plain,
! [SV1: $i,SV574: $i] :
( ( ( in @ ( sK324_SY633 @ SV574 @ SV1 ) @ ( sK208_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5763]) ).
thf(6022,plain,
! [SV1: $i,SV574: $i] :
( ( ( SV574
= ( sK324_SY633 @ SV574 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5764]) ).
thf(6023,plain,
! [SV1: $i,SV574: $i] :
( ( ( in @ SV574 @ ( sK324_SY633 @ SV574 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5764]) ).
thf(6024,plain,
! [SV1: $i,SV576: $i] :
( ( ( in @ ( sK325_SY634 @ SV576 @ SV1 ) @ ( sK209_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5765]) ).
thf(6025,plain,
! [SV1: $i,SV576: $i] :
( ( ( SV576
= ( sK325_SY634 @ SV576 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5766]) ).
thf(6026,plain,
! [SV1: $i,SV576: $i] :
( ( ( in @ SV576 @ ( sK325_SY634 @ SV576 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5766]) ).
thf(6027,plain,
! [SV1: $i,SV578: $i] :
( ( ( in @ ( sK326_SY635 @ SV578 @ SV1 ) @ ( sK210_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5767]) ).
thf(6028,plain,
! [SV1: $i,SV578: $i] :
( ( ( SV578
= ( sK326_SY635 @ SV578 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5768]) ).
thf(6029,plain,
! [SV1: $i,SV578: $i] :
( ( ( in @ SV578 @ ( sK326_SY635 @ SV578 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5768]) ).
thf(6030,plain,
! [SV1: $i,SV580: $i] :
( ( ( in @ ( sK327_SY636 @ SV580 @ SV1 ) @ ( sK211_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5769]) ).
thf(6031,plain,
! [SV1: $i,SV580: $i] :
( ( ( SV580
= ( sK327_SY636 @ SV580 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5770]) ).
thf(6032,plain,
! [SV1: $i,SV580: $i] :
( ( ( in @ SV580 @ ( sK327_SY636 @ SV580 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5770]) ).
thf(6033,plain,
! [SV504: $i,SV1159: $i,SV1: $i] :
( ( ( ! [SY923: $i] :
( ~ ( in @ SY923 @ SV1 )
| ~ ( in @ SV1159 @ SY923 )
| ( in @ SV1159 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK310_SY587 @ SV504 @ SV1 ) @ ( sK192_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5771]) ).
thf(6034,plain,
! [SV504: $i,SV1160: $i,SV1: $i] :
( ( ( ! [SY924: $i] :
( ~ ( in @ SY924 @ SV1 )
| ~ ( in @ SV1160 @ SY924 )
| ( in @ SV1160 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( SV504
= ( sK310_SY587 @ SV504 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5772]) ).
thf(6035,plain,
! [SV504: $i,SV1161: $i,SV1: $i] :
( ( ( ! [SY925: $i] :
( ~ ( in @ SY925 @ SV1 )
| ~ ( in @ SV1161 @ SY925 )
| ( in @ SV1161 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK310_SY587 @ SV504 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5773]) ).
thf(6036,plain,
! [SV506: $i,SV1162: $i,SV1: $i] :
( ( ( ! [SY926: $i] :
( ~ ( in @ SY926 @ SV1 )
| ~ ( in @ SV1162 @ SY926 )
| ( in @ SV1162 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK311_SY588 @ SV506 @ SV1 ) @ ( sK193_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5774]) ).
thf(6037,plain,
! [SV506: $i,SV1163: $i,SV1: $i] :
( ( ( ! [SY927: $i] :
( ~ ( in @ SY927 @ SV1 )
| ~ ( in @ SV1163 @ SY927 )
| ( in @ SV1163 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( SV506
= ( sK311_SY588 @ SV506 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5775]) ).
thf(6038,plain,
! [SV506: $i,SV1164: $i,SV1: $i] :
( ( ( ! [SY928: $i] :
( ~ ( in @ SY928 @ SV1 )
| ~ ( in @ SV1164 @ SY928 )
| ( in @ SV1164 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK311_SY588 @ SV506 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5776]) ).
thf(6039,plain,
! [SV262: $i,SV1: $i,SV973: $i,SV901: $i] :
( ( ( ~ ( in @ SV901 @ SV973 ) )
= $true )
| ( ( in @ SV901 @ SV1 )
= $true )
| ( ( in @ SV973 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK268_SY397 @ SV262 @ SV1 ) @ ( sK136_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5783]) ).
thf(6040,plain,
! [SV262: $i,SV1: $i,SV974: $i,SV902: $i] :
( ( ( ~ ( in @ SV902 @ SV974 ) )
= $true )
| ( ( in @ SV902 @ SV1 )
= $true )
| ( ( in @ SV974 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( SV262
= ( sK268_SY397 @ SV262 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5784]) ).
thf(6041,plain,
! [SV262: $i,SV1: $i,SV975: $i,SV903: $i] :
( ( ( ~ ( in @ SV903 @ SV975 ) )
= $true )
| ( ( in @ SV903 @ SV1 )
= $true )
| ( ( in @ SV975 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV262 @ ( sK268_SY397 @ SV262 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5785]) ).
thf(6042,plain,
! [SV264: $i,SV1: $i,SV976: $i,SV904: $i] :
( ( ( ~ ( in @ SV904 @ SV976 ) )
= $true )
| ( ( in @ SV904 @ SV1 )
= $true )
| ( ( in @ SV976 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK269_SY398 @ SV264 @ SV1 ) @ ( sK137_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5786]) ).
thf(6043,plain,
! [SV264: $i,SV1: $i,SV977: $i,SV905: $i] :
( ( ( ~ ( in @ SV905 @ SV977 ) )
= $true )
| ( ( in @ SV905 @ SV1 )
= $true )
| ( ( in @ SV977 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( SV264
= ( sK269_SY398 @ SV264 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5787]) ).
thf(6044,plain,
! [SV264: $i,SV1: $i,SV978: $i,SV906: $i] :
( ( ( ~ ( in @ SV906 @ SV978 ) )
= $true )
| ( ( in @ SV906 @ SV1 )
= $true )
| ( ( in @ SV978 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV264 @ ( sK269_SY398 @ SV264 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5788]) ).
thf(6045,plain,
! [SV332: $i,SV979: $i,SV1: $i,SV1069: $i] :
( ( ( in @ SV1069 @ SV1 )
= $false )
| ( ( ~ ( in @ SV979 @ SV1069 )
| ( in @ SV979 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK284_SY471 @ SV332 @ SV1 ) @ ( sK160_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5789]) ).
thf(6046,plain,
! [SV332: $i,SV980: $i,SV1: $i,SV1070: $i] :
( ( ( in @ SV1070 @ SV1 )
= $false )
| ( ( ~ ( in @ SV980 @ SV1070 )
| ( in @ SV980 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( SV332
= ( sK284_SY471 @ SV332 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5790]) ).
thf(6047,plain,
! [SV332: $i,SV981: $i,SV1: $i,SV1071: $i] :
( ( ( in @ SV1071 @ SV1 )
= $false )
| ( ( ~ ( in @ SV981 @ SV1071 )
| ( in @ SV981 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK284_SY471 @ SV332 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5791]) ).
thf(6048,plain,
! [SV334: $i,SV982: $i,SV1: $i,SV1072: $i] :
( ( ( in @ SV1072 @ SV1 )
= $false )
| ( ( ~ ( in @ SV982 @ SV1072 )
| ( in @ SV982 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK285_SY472 @ SV334 @ SV1 ) @ ( sK161_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5792]) ).
thf(6049,plain,
! [SV334: $i,SV983: $i,SV1: $i,SV1073: $i] :
( ( ( in @ SV1073 @ SV1 )
= $false )
| ( ( ~ ( in @ SV983 @ SV1073 )
| ( in @ SV983 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( SV334
= ( sK285_SY472 @ SV334 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5793]) ).
thf(6050,plain,
! [SV334: $i,SV984: $i,SV1: $i,SV1074: $i] :
( ( ( in @ SV1074 @ SV1 )
= $false )
| ( ( ~ ( in @ SV984 @ SV1074 )
| ( in @ SV984 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK285_SY472 @ SV334 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5794]) ).
thf(6051,plain,
! [SV336: $i,SV985: $i,SV1: $i,SV1075: $i] :
( ( ( in @ SV1075 @ SV1 )
= $false )
| ( ( ~ ( in @ SV985 @ SV1075 )
| ( in @ SV985 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK286_SY473 @ SV336 @ SV1 ) @ ( sK162_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5795]) ).
thf(6052,plain,
! [SV336: $i,SV986: $i,SV1: $i,SV1076: $i] :
( ( ( in @ SV1076 @ SV1 )
= $false )
| ( ( ~ ( in @ SV986 @ SV1076 )
| ( in @ SV986 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( SV336
= ( sK286_SY473 @ SV336 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5796]) ).
thf(6053,plain,
! [SV336: $i,SV987: $i,SV1: $i,SV1077: $i] :
( ( ( in @ SV1077 @ SV1 )
= $false )
| ( ( ~ ( in @ SV987 @ SV1077 )
| ( in @ SV987 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK286_SY473 @ SV336 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5797]) ).
thf(6054,plain,
! [SV338: $i,SV988: $i,SV1: $i,SV1078: $i] :
( ( ( in @ SV1078 @ SV1 )
= $false )
| ( ( ~ ( in @ SV988 @ SV1078 )
| ( in @ SV988 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK287_SY474 @ SV338 @ SV1 ) @ ( sK163_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5798]) ).
thf(6055,plain,
! [SV338: $i,SV989: $i,SV1: $i,SV1079: $i] :
( ( ( in @ SV1079 @ SV1 )
= $false )
| ( ( ~ ( in @ SV989 @ SV1079 )
| ( in @ SV989 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( SV338
= ( sK287_SY474 @ SV338 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5799]) ).
thf(6056,plain,
! [SV338: $i,SV990: $i,SV1: $i,SV1080: $i] :
( ( ( in @ SV1080 @ SV1 )
= $false )
| ( ( ~ ( in @ SV990 @ SV1080 )
| ( in @ SV990 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK287_SY474 @ SV338 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5800]) ).
thf(6057,plain,
! [SV270: $i,SV1: $i,SV991: $i,SV907: $i] :
( ( ( ~ ( in @ SV907 @ SV991 ) )
= $true )
| ( ( in @ SV907 @ SV1 )
= $true )
| ( ( in @ SV991 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK270_SY403 @ SV270 @ SV1 ) @ ( sK138_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5801]) ).
thf(6058,plain,
! [SV270: $i,SV1: $i,SV992: $i,SV908: $i] :
( ( ( ~ ( in @ SV908 @ SV992 ) )
= $true )
| ( ( in @ SV908 @ SV1 )
= $true )
| ( ( in @ SV992 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( SV270
= ( sK270_SY403 @ SV270 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5802]) ).
thf(6059,plain,
! [SV270: $i,SV1: $i,SV993: $i,SV909: $i] :
( ( ( ~ ( in @ SV909 @ SV993 ) )
= $true )
| ( ( in @ SV909 @ SV1 )
= $true )
| ( ( in @ SV993 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK270_SY403 @ SV270 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5803]) ).
thf(6060,plain,
! [SV272: $i,SV1: $i,SV994: $i,SV910: $i] :
( ( ( ~ ( in @ SV910 @ SV994 ) )
= $true )
| ( ( in @ SV910 @ SV1 )
= $true )
| ( ( in @ SV994 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK271_SY404 @ SV272 @ SV1 ) @ ( sK139_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5804]) ).
thf(6061,plain,
! [SV272: $i,SV1: $i,SV995: $i,SV911: $i] :
( ( ( ~ ( in @ SV911 @ SV995 ) )
= $true )
| ( ( in @ SV911 @ SV1 )
= $true )
| ( ( in @ SV995 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( SV272
= ( sK271_SY404 @ SV272 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5805]) ).
thf(6062,plain,
! [SV272: $i,SV1: $i,SV996: $i,SV912: $i] :
( ( ( ~ ( in @ SV912 @ SV996 ) )
= $true )
| ( ( in @ SV912 @ SV1 )
= $true )
| ( ( in @ SV996 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK271_SY404 @ SV272 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5806]) ).
thf(6063,plain,
! [SV216: $i,SV1: $i,SV913: $i,SV847: $i] :
( ( ( in @ SV847 @ SV913 )
= $false )
| ( ( in @ SV847 @ SV1 )
= $true )
| ( ( in @ SV913 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK260_SY351 @ SV216 @ SV1 ) @ ( sK124_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5813]) ).
thf(6064,plain,
! [SV216: $i,SV1: $i,SV914: $i,SV848: $i] :
( ( ( in @ SV848 @ SV914 )
= $false )
| ( ( in @ SV848 @ SV1 )
= $true )
| ( ( in @ SV914 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( SV216
= ( sK260_SY351 @ SV216 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5814]) ).
thf(6065,plain,
! [SV216: $i,SV1: $i,SV915: $i,SV849: $i] :
( ( ( in @ SV849 @ SV915 )
= $false )
| ( ( in @ SV849 @ SV1 )
= $true )
| ( ( in @ SV915 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK124_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV216 @ ( sK260_SY351 @ SV216 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5815]) ).
thf(6066,plain,
! [SV218: $i,SV1: $i,SV916: $i,SV850: $i] :
( ( ( in @ SV850 @ SV916 )
= $false )
| ( ( in @ SV850 @ SV1 )
= $true )
| ( ( in @ SV916 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK261_SY352 @ SV218 @ SV1 ) @ ( sK125_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5816]) ).
thf(6067,plain,
! [SV218: $i,SV1: $i,SV917: $i,SV851: $i] :
( ( ( in @ SV851 @ SV917 )
= $false )
| ( ( in @ SV851 @ SV1 )
= $true )
| ( ( in @ SV917 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( SV218
= ( sK261_SY352 @ SV218 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5817]) ).
thf(6068,plain,
! [SV218: $i,SV1: $i,SV918: $i,SV852: $i] :
( ( ( in @ SV852 @ SV918 )
= $false )
| ( ( in @ SV852 @ SV1 )
= $true )
| ( ( in @ SV918 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK58_SY7 @ SV1 ) @ ( sK58_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK17_SY5 @ SV1 )
= ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK125_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV218 @ ( sK261_SY352 @ SV218 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5818]) ).
thf(6069,plain,
! [SV220: $i,SV1: $i,SV919: $i,SV853: $i] :
( ( ( in @ SV853 @ SV919 )
= $false )
| ( ( in @ SV853 @ SV1 )
= $true )
| ( ( in @ SV919 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK262_SY353 @ SV220 @ SV1 ) @ ( sK126_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5819]) ).
thf(6070,plain,
! [SV220: $i,SV1: $i,SV920: $i,SV854: $i] :
( ( ( in @ SV854 @ SV920 )
= $false )
| ( ( in @ SV854 @ SV1 )
= $true )
| ( ( in @ SV920 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( SV220
= ( sK262_SY353 @ SV220 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5820]) ).
thf(6071,plain,
! [SV220: $i,SV1: $i,SV921: $i,SV855: $i] :
( ( ( in @ SV855 @ SV921 )
= $false )
| ( ( in @ SV855 @ SV1 )
= $true )
| ( ( in @ SV921 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK126_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV220 @ ( sK262_SY353 @ SV220 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5821]) ).
thf(6072,plain,
! [SV222: $i,SV1: $i,SV922: $i,SV856: $i] :
( ( ( in @ SV856 @ SV922 )
= $false )
| ( ( in @ SV856 @ SV1 )
= $true )
| ( ( in @ SV922 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK263_SY354 @ SV222 @ SV1 ) @ ( sK127_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5822]) ).
thf(6073,plain,
! [SV222: $i,SV1: $i,SV923: $i,SV857: $i] :
( ( ( in @ SV857 @ SV923 )
= $false )
| ( ( in @ SV857 @ SV1 )
= $true )
| ( ( in @ SV923 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( SV222
= ( sK263_SY354 @ SV222 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5823]) ).
thf(6074,plain,
! [SV222: $i,SV1: $i,SV924: $i,SV858: $i] :
( ( ( in @ SV858 @ SV924 )
= $false )
| ( ( in @ SV858 @ SV1 )
= $true )
| ( ( in @ SV924 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK59_SY7 @ SV1 ) @ ( sK59_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK17_SY5 @ SV1 ) @ ( sK23_SY32 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK127_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV222 @ ( sK263_SY354 @ SV222 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5824]) ).
thf(6075,plain,
! [SV284: $i,SV1: $i,SV997: $i,SV925: $i] :
( ( ( ~ ( in @ SV925 @ SV997 ) )
= $true )
| ( ( in @ SV925 @ SV1 )
= $true )
| ( ( in @ SV997 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK272_SY409 @ SV284 @ SV1 ) @ ( sK140_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5837]) ).
thf(6076,plain,
! [SV284: $i,SV1: $i,SV998: $i,SV926: $i] :
( ( ( ~ ( in @ SV926 @ SV998 ) )
= $true )
| ( ( in @ SV926 @ SV1 )
= $true )
| ( ( in @ SV998 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( SV284
= ( sK272_SY409 @ SV284 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5838]) ).
thf(6077,plain,
! [SV284: $i,SV1: $i,SV999: $i,SV927: $i] :
( ( ( ~ ( in @ SV927 @ SV999 ) )
= $true )
| ( ( in @ SV927 @ SV1 )
= $true )
| ( ( in @ SV999 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV284 @ ( sK272_SY409 @ SV284 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5839]) ).
thf(6078,plain,
! [SV286: $i,SV1: $i,SV1000: $i,SV928: $i] :
( ( ( ~ ( in @ SV928 @ SV1000 ) )
= $true )
| ( ( in @ SV928 @ SV1 )
= $true )
| ( ( in @ SV1000 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK273_SY410 @ SV286 @ SV1 ) @ ( sK141_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5840]) ).
thf(6079,plain,
! [SV286: $i,SV1: $i,SV1001: $i,SV929: $i] :
( ( ( ~ ( in @ SV929 @ SV1001 ) )
= $true )
| ( ( in @ SV929 @ SV1 )
= $true )
| ( ( in @ SV1001 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( SV286
= ( sK273_SY410 @ SV286 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5841]) ).
thf(6080,plain,
! [SV286: $i,SV1: $i,SV1002: $i,SV930: $i] :
( ( ( ~ ( in @ SV930 @ SV1002 ) )
= $true )
| ( ( in @ SV930 @ SV1 )
= $true )
| ( ( in @ SV1002 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV286 @ ( sK273_SY410 @ SV286 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5842]) ).
thf(6081,plain,
! [SV348: $i,SV1003: $i,SV1: $i,SV1081: $i] :
( ( ( in @ SV1081 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1003 @ SV1081 )
| ( in @ SV1003 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK288_SY479 @ SV348 @ SV1 ) @ ( sK164_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5843]) ).
thf(6082,plain,
! [SV348: $i,SV1004: $i,SV1: $i,SV1082: $i] :
( ( ( in @ SV1082 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1004 @ SV1082 )
| ( in @ SV1004 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( SV348
= ( sK288_SY479 @ SV348 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5844]) ).
thf(6083,plain,
! [SV348: $i,SV1005: $i,SV1: $i,SV1083: $i] :
( ( ( in @ SV1083 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1005 @ SV1083 )
| ( in @ SV1005 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK288_SY479 @ SV348 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5845]) ).
thf(6084,plain,
! [SV350: $i,SV1006: $i,SV1: $i,SV1084: $i] :
( ( ( in @ SV1084 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1006 @ SV1084 )
| ( in @ SV1006 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK289_SY480 @ SV350 @ SV1 ) @ ( sK165_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5846]) ).
thf(6085,plain,
! [SV350: $i,SV1007: $i,SV1: $i,SV1085: $i] :
( ( ( in @ SV1085 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1007 @ SV1085 )
| ( in @ SV1007 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( SV350
= ( sK289_SY480 @ SV350 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5847]) ).
thf(6086,plain,
! [SV350: $i,SV1008: $i,SV1: $i,SV1086: $i] :
( ( ( in @ SV1086 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1008 @ SV1086 )
| ( in @ SV1008 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK289_SY480 @ SV350 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5848]) ).
thf(6087,plain,
! [SV352: $i,SV1009: $i,SV1: $i,SV1087: $i] :
( ( ( in @ SV1087 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1009 @ SV1087 )
| ( in @ SV1009 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK290_SY481 @ SV352 @ SV1 ) @ ( sK166_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5849]) ).
thf(6088,plain,
! [SV352: $i,SV1010: $i,SV1: $i,SV1088: $i] :
( ( ( in @ SV1088 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1010 @ SV1088 )
| ( in @ SV1010 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( SV352
= ( sK290_SY481 @ SV352 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5850]) ).
thf(6089,plain,
! [SV352: $i,SV1011: $i,SV1: $i,SV1089: $i] :
( ( ( in @ SV1089 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1011 @ SV1089 )
| ( in @ SV1011 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK290_SY481 @ SV352 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5851]) ).
thf(6090,plain,
! [SV354: $i,SV1012: $i,SV1: $i,SV1090: $i] :
( ( ( in @ SV1090 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1012 @ SV1090 )
| ( in @ SV1012 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK291_SY482 @ SV354 @ SV1 ) @ ( sK167_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5852]) ).
thf(6091,plain,
! [SV354: $i,SV1013: $i,SV1: $i,SV1091: $i] :
( ( ( in @ SV1091 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1013 @ SV1091 )
| ( in @ SV1013 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( SV354
= ( sK291_SY482 @ SV354 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5853]) ).
thf(6092,plain,
! [SV354: $i,SV1014: $i,SV1: $i,SV1092: $i] :
( ( ( in @ SV1092 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1014 @ SV1092 )
| ( in @ SV1014 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK291_SY482 @ SV354 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5854]) ).
thf(6093,plain,
! [SV292: $i,SV1: $i,SV1015: $i,SV931: $i] :
( ( ( ~ ( in @ SV931 @ SV1015 ) )
= $true )
| ( ( in @ SV931 @ SV1 )
= $true )
| ( ( in @ SV1015 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK274_SY415 @ SV292 @ SV1 ) @ ( sK142_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5855]) ).
thf(6094,plain,
! [SV292: $i,SV1: $i,SV1016: $i,SV932: $i] :
( ( ( ~ ( in @ SV932 @ SV1016 ) )
= $true )
| ( ( in @ SV932 @ SV1 )
= $true )
| ( ( in @ SV1016 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( SV292
= ( sK274_SY415 @ SV292 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5856]) ).
thf(6095,plain,
! [SV292: $i,SV1: $i,SV1017: $i,SV933: $i] :
( ( ( ~ ( in @ SV933 @ SV1017 ) )
= $true )
| ( ( in @ SV933 @ SV1 )
= $true )
| ( ( in @ SV1017 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK274_SY415 @ SV292 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5857]) ).
thf(6096,plain,
! [SV294: $i,SV1: $i,SV1018: $i,SV934: $i] :
( ( ( ~ ( in @ SV934 @ SV1018 ) )
= $true )
| ( ( in @ SV934 @ SV1 )
= $true )
| ( ( in @ SV1018 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK275_SY416 @ SV294 @ SV1 ) @ ( sK143_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5858]) ).
thf(6097,plain,
! [SV294: $i,SV1: $i,SV1019: $i,SV935: $i] :
( ( ( ~ ( in @ SV935 @ SV1019 ) )
= $true )
| ( ( in @ SV935 @ SV1 )
= $true )
| ( ( in @ SV1019 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( SV294
= ( sK275_SY416 @ SV294 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5859]) ).
thf(6098,plain,
! [SV294: $i,SV1: $i,SV1020: $i,SV936: $i] :
( ( ( ~ ( in @ SV936 @ SV1020 ) )
= $true )
| ( ( in @ SV936 @ SV1 )
= $true )
| ( ( in @ SV1020 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK275_SY416 @ SV294 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5860]) ).
thf(6099,plain,
! [SV406: $i,SV1093: $i,SV1: $i,SV1129: $i] :
( ( ( ~ ( in @ SV1129 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1093 @ SV1129 )
| ( in @ SV1093 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK300_SY529 @ SV406 @ SV1 ) @ ( sK180_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5861]) ).
thf(6100,plain,
! [SV406: $i,SV1094: $i,SV1: $i,SV1130: $i] :
( ( ( ~ ( in @ SV1130 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1094 @ SV1130 )
| ( in @ SV1094 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( SV406
= ( sK300_SY529 @ SV406 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5862]) ).
thf(6101,plain,
! [SV406: $i,SV1095: $i,SV1: $i,SV1131: $i] :
( ( ( ~ ( in @ SV1131 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1095 @ SV1131 )
| ( in @ SV1095 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV406 @ ( sK300_SY529 @ SV406 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5863]) ).
thf(6102,plain,
! [SV408: $i,SV1096: $i,SV1: $i,SV1132: $i] :
( ( ( ~ ( in @ SV1132 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1096 @ SV1132 )
| ( in @ SV1096 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK301_SY530 @ SV408 @ SV1 ) @ ( sK181_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5864]) ).
thf(6103,plain,
! [SV408: $i,SV1097: $i,SV1: $i,SV1133: $i] :
( ( ( ~ ( in @ SV1133 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1097 @ SV1133 )
| ( in @ SV1097 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( SV408
= ( sK301_SY530 @ SV408 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5865]) ).
thf(6104,plain,
! [SV408: $i,SV1098: $i,SV1: $i,SV1134: $i] :
( ( ( ~ ( in @ SV1134 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1098 @ SV1134 )
| ( in @ SV1098 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV408 @ ( sK301_SY530 @ SV408 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5866]) ).
thf(6105,plain,
! [SV516: $i,SV1165: $i,SV1: $i] :
( ( ( ! [SY929: $i] :
( ~ ( in @ SY929 @ SV1 )
| ~ ( in @ SV1165 @ SY929 )
| ( in @ SV1165 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK312_SY589 @ SV516 @ SV1 ) @ ( sK196_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5867]) ).
thf(6106,plain,
! [SV516: $i,SV1166: $i,SV1: $i] :
( ( ( ! [SY930: $i] :
( ~ ( in @ SY930 @ SV1 )
| ~ ( in @ SV1166 @ SY930 )
| ( in @ SV1166 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( SV516
= ( sK312_SY589 @ SV516 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5868]) ).
thf(6107,plain,
! [SV516: $i,SV1167: $i,SV1: $i] :
( ( ( ! [SY931: $i] :
( ~ ( in @ SY931 @ SV1 )
| ~ ( in @ SV1167 @ SY931 )
| ( in @ SV1167 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV516 @ ( sK312_SY589 @ SV516 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5869]) ).
thf(6108,plain,
! [SV518: $i,SV1168: $i,SV1: $i] :
( ( ( ! [SY932: $i] :
( ~ ( in @ SY932 @ SV1 )
| ~ ( in @ SV1168 @ SY932 )
| ( in @ SV1168 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK313_SY590 @ SV518 @ SV1 ) @ ( sK197_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5870]) ).
thf(6109,plain,
! [SV518: $i,SV1169: $i,SV1: $i] :
( ( ( ! [SY933: $i] :
( ~ ( in @ SY933 @ SV1 )
| ~ ( in @ SV1169 @ SY933 )
| ( in @ SV1169 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( SV518
= ( sK313_SY590 @ SV518 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5871]) ).
thf(6110,plain,
! [SV518: $i,SV1170: $i,SV1: $i] :
( ( ( ! [SY934: $i] :
( ~ ( in @ SY934 @ SV1 )
| ~ ( in @ SV1170 @ SY934 )
| ( in @ SV1170 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV518 @ ( sK313_SY590 @ SV518 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5872]) ).
thf(6111,plain,
! [SV1: $i,SV604: $i] :
( ( ( in @ ( sK328_SY659 @ SV604 @ SV1 ) @ ( sK212_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5873]) ).
thf(6112,plain,
! [SV1: $i,SV604: $i] :
( ( ( SV604
= ( sK328_SY659 @ SV604 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5874]) ).
thf(6113,plain,
! [SV1: $i,SV604: $i] :
( ( ( in @ SV604 @ ( sK328_SY659 @ SV604 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5874]) ).
thf(6114,plain,
! [SV1: $i,SV606: $i] :
( ( ( in @ ( sK329_SY660 @ SV606 @ SV1 ) @ ( sK213_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5875]) ).
thf(6115,plain,
! [SV1: $i,SV606: $i] :
( ( ( SV606
= ( sK329_SY660 @ SV606 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5876]) ).
thf(6116,plain,
! [SV1: $i,SV606: $i] :
( ( ( in @ SV606 @ ( sK329_SY660 @ SV606 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5876]) ).
thf(6117,plain,
! [SV1: $i,SV608: $i] :
( ( ( in @ ( sK330_SY661 @ SV608 @ SV1 ) @ ( sK214_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5877]) ).
thf(6118,plain,
! [SV1: $i,SV608: $i] :
( ( ( SV608
= ( sK330_SY661 @ SV608 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5878]) ).
thf(6119,plain,
! [SV1: $i,SV608: $i] :
( ( ( in @ SV608 @ ( sK330_SY661 @ SV608 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5878]) ).
thf(6120,plain,
! [SV1: $i,SV610: $i] :
( ( ( in @ ( sK331_SY662 @ SV610 @ SV1 ) @ ( sK215_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5879]) ).
thf(6121,plain,
! [SV1: $i,SV610: $i] :
( ( ( SV610
= ( sK331_SY662 @ SV610 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5880]) ).
thf(6122,plain,
! [SV1: $i,SV610: $i] :
( ( ( in @ SV610 @ ( sK331_SY662 @ SV610 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5880]) ).
thf(6123,plain,
! [SV524: $i,SV1171: $i,SV1: $i] :
( ( ( ! [SY935: $i] :
( ~ ( in @ SY935 @ SV1 )
| ~ ( in @ SV1171 @ SY935 )
| ( in @ SV1171 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK314_SY595 @ SV524 @ SV1 ) @ ( sK198_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5881]) ).
thf(6124,plain,
! [SV524: $i,SV1172: $i,SV1: $i] :
( ( ( ! [SY936: $i] :
( ~ ( in @ SY936 @ SV1 )
| ~ ( in @ SV1172 @ SY936 )
| ( in @ SV1172 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( SV524
= ( sK314_SY595 @ SV524 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5882]) ).
thf(6125,plain,
! [SV524: $i,SV1173: $i,SV1: $i] :
( ( ( ! [SY937: $i] :
( ~ ( in @ SY937 @ SV1 )
| ~ ( in @ SV1173 @ SY937 )
| ( in @ SV1173 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK314_SY595 @ SV524 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5883]) ).
thf(6126,plain,
! [SV526: $i,SV1174: $i,SV1: $i] :
( ( ( ! [SY938: $i] :
( ~ ( in @ SY938 @ SV1 )
| ~ ( in @ SV1174 @ SY938 )
| ( in @ SV1174 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK315_SY596 @ SV526 @ SV1 ) @ ( sK199_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5884]) ).
thf(6127,plain,
! [SV526: $i,SV1175: $i,SV1: $i] :
( ( ( ! [SY939: $i] :
( ~ ( in @ SY939 @ SV1 )
| ~ ( in @ SV1175 @ SY939 )
| ( in @ SV1175 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( SV526
= ( sK315_SY596 @ SV526 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5885]) ).
thf(6128,plain,
! [SV526: $i,SV1176: $i,SV1: $i] :
( ( ( ! [SY940: $i] :
( ~ ( in @ SY940 @ SV1 )
| ~ ( in @ SV1176 @ SY940 )
| ( in @ SV1176 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK315_SY596 @ SV526 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5886]) ).
thf(6129,plain,
! [SV410: $i,SV1099: $i,SV1: $i,SV1135: $i] :
( ( ( ~ ( in @ SV1135 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1099 @ SV1135 )
| ( in @ SV1099 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK302_SY531 @ SV410 @ SV1 ) @ ( sK182_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5887]) ).
thf(6130,plain,
! [SV410: $i,SV1100: $i,SV1: $i,SV1136: $i] :
( ( ( ~ ( in @ SV1136 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1100 @ SV1136 )
| ( in @ SV1100 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( SV410
= ( sK302_SY531 @ SV410 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5888]) ).
thf(6131,plain,
! [SV410: $i,SV1101: $i,SV1: $i,SV1137: $i] :
( ( ( ~ ( in @ SV1137 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1101 @ SV1137 )
| ( in @ SV1101 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV410 @ ( sK302_SY531 @ SV410 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5889]) ).
thf(6132,plain,
! [SV412: $i,SV1102: $i,SV1: $i,SV1138: $i] :
( ( ( ~ ( in @ SV1138 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1102 @ SV1138 )
| ( in @ SV1102 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK303_SY532 @ SV412 @ SV1 ) @ ( sK183_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5890]) ).
thf(6133,plain,
! [SV412: $i,SV1103: $i,SV1: $i,SV1139: $i] :
( ( ( ~ ( in @ SV1139 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1103 @ SV1139 )
| ( in @ SV1103 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( SV412
= ( sK303_SY532 @ SV412 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5891]) ).
thf(6134,plain,
! [SV412: $i,SV1104: $i,SV1: $i,SV1140: $i] :
( ( ( ~ ( in @ SV1140 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1104 @ SV1140 )
| ( in @ SV1104 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV412 @ ( sK303_SY532 @ SV412 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5892]) ).
thf(6135,plain,
! [SV530: $i,SV1177: $i,SV1: $i] :
( ( ( ! [SY941: $i] :
( ~ ( in @ SY941 @ SV1 )
| ~ ( in @ SV1177 @ SY941 )
| ( in @ SV1177 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK316_SY597 @ SV530 @ SV1 ) @ ( sK200_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5893]) ).
thf(6136,plain,
! [SV530: $i,SV1178: $i,SV1: $i] :
( ( ( ! [SY942: $i] :
( ~ ( in @ SY942 @ SV1 )
| ~ ( in @ SV1178 @ SY942 )
| ( in @ SV1178 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( SV530
= ( sK316_SY597 @ SV530 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5894]) ).
thf(6137,plain,
! [SV530: $i,SV1179: $i,SV1: $i] :
( ( ( ! [SY943: $i] :
( ~ ( in @ SY943 @ SV1 )
| ~ ( in @ SV1179 @ SY943 )
| ( in @ SV1179 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV530 @ ( sK316_SY597 @ SV530 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5895]) ).
thf(6138,plain,
! [SV532: $i,SV1180: $i,SV1: $i] :
( ( ( ! [SY944: $i] :
( ~ ( in @ SY944 @ SV1 )
| ~ ( in @ SV1180 @ SY944 )
| ( in @ SV1180 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK317_SY598 @ SV532 @ SV1 ) @ ( sK201_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5896]) ).
thf(6139,plain,
! [SV532: $i,SV1181: $i,SV1: $i] :
( ( ( ! [SY945: $i] :
( ~ ( in @ SY945 @ SV1 )
| ~ ( in @ SV1181 @ SY945 )
| ( in @ SV1181 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( SV532
= ( sK317_SY598 @ SV532 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5897]) ).
thf(6140,plain,
! [SV532: $i,SV1182: $i,SV1: $i] :
( ( ( ! [SY946: $i] :
( ~ ( in @ SY946 @ SV1 )
| ~ ( in @ SV1182 @ SY946 )
| ( in @ SV1182 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV532 @ ( sK317_SY598 @ SV532 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5898]) ).
thf(6141,plain,
! [SV1: $i,SV616: $i] :
( ( ( in @ ( sK332_SY667 @ SV616 @ SV1 ) @ ( sK216_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5899]) ).
thf(6142,plain,
! [SV1: $i,SV616: $i] :
( ( ( SV616
= ( sK332_SY667 @ SV616 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5900]) ).
thf(6143,plain,
! [SV1: $i,SV616: $i] :
( ( ( in @ SV616 @ ( sK332_SY667 @ SV616 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5900]) ).
thf(6144,plain,
! [SV1: $i,SV618: $i] :
( ( ( in @ ( sK333_SY668 @ SV618 @ SV1 ) @ ( sK217_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5901]) ).
thf(6145,plain,
! [SV1: $i,SV618: $i] :
( ( ( SV618
= ( sK333_SY668 @ SV618 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5902]) ).
thf(6146,plain,
! [SV1: $i,SV618: $i] :
( ( ( in @ SV618 @ ( sK333_SY668 @ SV618 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5902]) ).
thf(6147,plain,
! [SV1: $i,SV620: $i] :
( ( ( in @ ( sK334_SY669 @ SV620 @ SV1 ) @ ( sK218_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5903]) ).
thf(6148,plain,
! [SV1: $i,SV620: $i] :
( ( ( SV620
= ( sK334_SY669 @ SV620 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5904]) ).
thf(6149,plain,
! [SV1: $i,SV620: $i] :
( ( ( in @ SV620 @ ( sK334_SY669 @ SV620 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5904]) ).
thf(6150,plain,
! [SV1: $i,SV622: $i] :
( ( ( in @ ( sK335_SY670 @ SV622 @ SV1 ) @ ( sK219_SY8 @ SV1 ) )
= $true )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5905]) ).
thf(6151,plain,
! [SV1: $i,SV622: $i] :
( ( ( SV622
= ( sK335_SY670 @ SV622 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5906]) ).
thf(6152,plain,
! [SV1: $i,SV622: $i] :
( ( ( in @ SV622 @ ( sK335_SY670 @ SV622 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( ! [SY11: $i,SY12: $i] :
( ~ ( in @ SY12 @ SV1 )
| ~ ( in @ SY11 @ SY12 )
| ( in @ SY11 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5906]) ).
thf(6153,plain,
! [SV538: $i,SV1183: $i,SV1: $i] :
( ( ( ! [SY947: $i] :
( ~ ( in @ SY947 @ SV1 )
| ~ ( in @ SV1183 @ SY947 )
| ( in @ SV1183 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK318_SY603 @ SV538 @ SV1 ) @ ( sK202_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5907]) ).
thf(6154,plain,
! [SV538: $i,SV1184: $i,SV1: $i] :
( ( ( ! [SY948: $i] :
( ~ ( in @ SY948 @ SV1 )
| ~ ( in @ SV1184 @ SY948 )
| ( in @ SV1184 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( SV538
= ( sK318_SY603 @ SV538 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5908]) ).
thf(6155,plain,
! [SV538: $i,SV1185: $i,SV1: $i] :
( ( ( ! [SY949: $i] :
( ~ ( in @ SY949 @ SV1 )
| ~ ( in @ SV1185 @ SY949 )
| ( in @ SV1185 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK318_SY603 @ SV538 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5909]) ).
thf(6156,plain,
! [SV540: $i,SV1186: $i,SV1: $i] :
( ( ( ! [SY950: $i] :
( ~ ( in @ SY950 @ SV1 )
| ~ ( in @ SV1186 @ SY950 )
| ( in @ SV1186 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK319_SY604 @ SV540 @ SV1 ) @ ( sK203_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5910]) ).
thf(6157,plain,
! [SV540: $i,SV1187: $i,SV1: $i] :
( ( ( ! [SY951: $i] :
( ~ ( in @ SY951 @ SV1 )
| ~ ( in @ SV1187 @ SY951 )
| ( in @ SV1187 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( SV540
= ( sK319_SY604 @ SV540 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5911]) ).
thf(6158,plain,
! [SV540: $i,SV1188: $i,SV1: $i] :
( ( ( ! [SY952: $i] :
( ~ ( in @ SY952 @ SV1 )
| ~ ( in @ SV1188 @ SY952 )
| ( in @ SV1188 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK319_SY604 @ SV540 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5912]) ).
thf(6159,plain,
! [SV298: $i,SV1: $i,SV1021: $i,SV937: $i] :
( ( ( ~ ( in @ SV937 @ SV1021 ) )
= $true )
| ( ( in @ SV937 @ SV1 )
= $true )
| ( ( in @ SV1021 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK276_SY433 @ SV298 @ SV1 ) @ ( sK148_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5919]) ).
thf(6160,plain,
! [SV298: $i,SV1: $i,SV1022: $i,SV938: $i] :
( ( ( ~ ( in @ SV938 @ SV1022 ) )
= $true )
| ( ( in @ SV938 @ SV1 )
= $true )
| ( ( in @ SV1022 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( SV298
= ( sK276_SY433 @ SV298 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5920]) ).
thf(6161,plain,
! [SV298: $i,SV1: $i,SV1023: $i,SV939: $i] :
( ( ( ~ ( in @ SV939 @ SV1023 ) )
= $true )
| ( ( in @ SV939 @ SV1 )
= $true )
| ( ( in @ SV1023 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV298 @ ( sK276_SY433 @ SV298 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5921]) ).
thf(6162,plain,
! [SV300: $i,SV1: $i,SV1024: $i,SV940: $i] :
( ( ( ~ ( in @ SV940 @ SV1024 ) )
= $true )
| ( ( in @ SV940 @ SV1 )
= $true )
| ( ( in @ SV1024 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK277_SY434 @ SV300 @ SV1 ) @ ( sK149_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5922]) ).
thf(6163,plain,
! [SV300: $i,SV1: $i,SV1025: $i,SV941: $i] :
( ( ( ~ ( in @ SV941 @ SV1025 ) )
= $true )
| ( ( in @ SV941 @ SV1 )
= $true )
| ( ( in @ SV1025 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( SV300
= ( sK277_SY434 @ SV300 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5923]) ).
thf(6164,plain,
! [SV300: $i,SV1: $i,SV1026: $i,SV942: $i] :
( ( ( ~ ( in @ SV942 @ SV1026 ) )
= $true )
| ( ( in @ SV942 @ SV1 )
= $true )
| ( ( in @ SV1026 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV300 @ ( sK277_SY434 @ SV300 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5924]) ).
thf(6165,plain,
! [SV364: $i,SV1027: $i,SV1: $i,SV1105: $i] :
( ( ( in @ SV1105 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1027 @ SV1105 )
| ( in @ SV1027 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK292_SY507 @ SV364 @ SV1 ) @ ( sK172_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5925]) ).
thf(6166,plain,
! [SV364: $i,SV1028: $i,SV1: $i,SV1106: $i] :
( ( ( in @ SV1106 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1028 @ SV1106 )
| ( in @ SV1028 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( SV364
= ( sK292_SY507 @ SV364 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5926]) ).
thf(6167,plain,
! [SV364: $i,SV1029: $i,SV1: $i,SV1107: $i] :
( ( ( in @ SV1107 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1029 @ SV1107 )
| ( in @ SV1029 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK292_SY507 @ SV364 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5927]) ).
thf(6168,plain,
! [SV366: $i,SV1030: $i,SV1: $i,SV1108: $i] :
( ( ( in @ SV1108 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1030 @ SV1108 )
| ( in @ SV1030 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK293_SY508 @ SV366 @ SV1 ) @ ( sK173_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5928]) ).
thf(6169,plain,
! [SV366: $i,SV1031: $i,SV1: $i,SV1109: $i] :
( ( ( in @ SV1109 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1031 @ SV1109 )
| ( in @ SV1031 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( SV366
= ( sK293_SY508 @ SV366 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5929]) ).
thf(6170,plain,
! [SV366: $i,SV1032: $i,SV1: $i,SV1110: $i] :
( ( ( in @ SV1110 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1032 @ SV1110 )
| ( in @ SV1032 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK293_SY508 @ SV366 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5930]) ).
thf(6171,plain,
! [SV368: $i,SV1033: $i,SV1: $i,SV1111: $i] :
( ( ( in @ SV1111 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1033 @ SV1111 )
| ( in @ SV1033 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK294_SY509 @ SV368 @ SV1 ) @ ( sK174_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5931]) ).
thf(6172,plain,
! [SV368: $i,SV1034: $i,SV1: $i,SV1112: $i] :
( ( ( in @ SV1112 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1034 @ SV1112 )
| ( in @ SV1034 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( SV368
= ( sK294_SY509 @ SV368 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5932]) ).
thf(6173,plain,
! [SV368: $i,SV1035: $i,SV1: $i,SV1113: $i] :
( ( ( in @ SV1113 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1035 @ SV1113 )
| ( in @ SV1035 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK294_SY509 @ SV368 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5933]) ).
thf(6174,plain,
! [SV370: $i,SV1036: $i,SV1: $i,SV1114: $i] :
( ( ( in @ SV1114 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1036 @ SV1114 )
| ( in @ SV1036 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK295_SY510 @ SV370 @ SV1 ) @ ( sK175_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5934]) ).
thf(6175,plain,
! [SV370: $i,SV1037: $i,SV1: $i,SV1115: $i] :
( ( ( in @ SV1115 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1037 @ SV1115 )
| ( in @ SV1037 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( SV370
= ( sK295_SY510 @ SV370 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5935]) ).
thf(6176,plain,
! [SV370: $i,SV1038: $i,SV1: $i,SV1116: $i] :
( ( ( in @ SV1116 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1038 @ SV1116 )
| ( in @ SV1038 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK295_SY510 @ SV370 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5936]) ).
thf(6177,plain,
! [SV306: $i,SV1: $i,SV1039: $i,SV943: $i] :
( ( ( ~ ( in @ SV943 @ SV1039 ) )
= $true )
| ( ( in @ SV943 @ SV1 )
= $true )
| ( ( in @ SV1039 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK278_SY439 @ SV306 @ SV1 ) @ ( sK150_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5937]) ).
thf(6178,plain,
! [SV306: $i,SV1: $i,SV1040: $i,SV944: $i] :
( ( ( ~ ( in @ SV944 @ SV1040 ) )
= $true )
| ( ( in @ SV944 @ SV1 )
= $true )
| ( ( in @ SV1040 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( SV306
= ( sK278_SY439 @ SV306 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5938]) ).
thf(6179,plain,
! [SV306: $i,SV1: $i,SV1041: $i,SV945: $i] :
( ( ( ~ ( in @ SV945 @ SV1041 ) )
= $true )
| ( ( in @ SV945 @ SV1 )
= $true )
| ( ( in @ SV1041 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK278_SY439 @ SV306 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5939]) ).
thf(6180,plain,
! [SV308: $i,SV1: $i,SV1042: $i,SV946: $i] :
( ( ( ~ ( in @ SV946 @ SV1042 ) )
= $true )
| ( ( in @ SV946 @ SV1 )
= $true )
| ( ( in @ SV1042 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK279_SY440 @ SV308 @ SV1 ) @ ( sK151_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5940]) ).
thf(6181,plain,
! [SV308: $i,SV1: $i,SV1043: $i,SV947: $i] :
( ( ( ~ ( in @ SV947 @ SV1043 ) )
= $true )
| ( ( in @ SV947 @ SV1 )
= $true )
| ( ( in @ SV1043 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( SV308
= ( sK279_SY440 @ SV308 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5941]) ).
thf(6182,plain,
! [SV308: $i,SV1: $i,SV1044: $i,SV948: $i] :
( ( ( ~ ( in @ SV948 @ SV1044 ) )
= $true )
| ( ( in @ SV948 @ SV1 )
= $true )
| ( ( in @ SV1044 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK279_SY440 @ SV308 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5942]) ).
thf(6183,plain,
! [SV248: $i,SV1: $i,SV949: $i,SV889: $i] :
( ( ( in @ SV889 @ SV949 )
= $false )
| ( ( in @ SV889 @ SV1 )
= $true )
| ( ( in @ SV949 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK264_SY373 @ SV248 @ SV1 ) @ ( sK128_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5955]) ).
thf(6184,plain,
! [SV248: $i,SV1: $i,SV950: $i,SV890: $i] :
( ( ( in @ SV890 @ SV950 )
= $false )
| ( ( in @ SV890 @ SV1 )
= $true )
| ( ( in @ SV950 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( SV248
= ( sK264_SY373 @ SV248 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5956]) ).
thf(6185,plain,
! [SV248: $i,SV1: $i,SV951: $i,SV891: $i] :
( ( ( in @ SV891 @ SV951 )
= $false )
| ( ( in @ SV891 @ SV1 )
= $true )
| ( ( in @ SV951 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV248 @ ( sK128_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV248 @ ( sK264_SY373 @ SV248 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5957]) ).
thf(6186,plain,
! [SV250: $i,SV1: $i,SV952: $i,SV892: $i] :
( ( ( in @ SV892 @ SV952 )
= $false )
| ( ( in @ SV892 @ SV1 )
= $true )
| ( ( in @ SV952 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK265_SY374 @ SV250 @ SV1 ) @ ( sK129_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5958]) ).
thf(6187,plain,
! [SV250: $i,SV1: $i,SV953: $i,SV893: $i] :
( ( ( in @ SV893 @ SV953 )
= $false )
| ( ( in @ SV893 @ SV1 )
= $true )
| ( ( in @ SV953 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( SV250
= ( sK265_SY374 @ SV250 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5959]) ).
thf(6188,plain,
! [SV250: $i,SV1: $i,SV954: $i,SV894: $i] :
( ( ( in @ SV894 @ SV954 )
= $false )
| ( ( in @ SV894 @ SV1 )
= $true )
| ( ( in @ SV954 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK66_SY7 @ SV1 ) @ ( sK66_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV250 @ ( sK129_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV250 @ ( sK265_SY374 @ SV250 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5960]) ).
thf(6189,plain,
! [SV316: $i,SV1: $i,SV1045: $i,SV955: $i] :
( ( ( ~ ( in @ SV955 @ SV1045 ) )
= $true )
| ( ( in @ SV955 @ SV1 )
= $true )
| ( ( in @ SV1045 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK280_SY443 @ SV316 @ SV1 ) @ ( sK152_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5961]) ).
thf(6190,plain,
! [SV316: $i,SV1: $i,SV1046: $i,SV956: $i] :
( ( ( ~ ( in @ SV956 @ SV1046 ) )
= $true )
| ( ( in @ SV956 @ SV1 )
= $true )
| ( ( in @ SV1046 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( SV316
= ( sK280_SY443 @ SV316 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5962]) ).
thf(6191,plain,
! [SV316: $i,SV1: $i,SV1047: $i,SV957: $i] :
( ( ( ~ ( in @ SV957 @ SV1047 ) )
= $true )
| ( ( in @ SV957 @ SV1 )
= $true )
| ( ( in @ SV1047 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK280_SY443 @ SV316 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5963]) ).
thf(6192,plain,
! [SV318: $i,SV1: $i,SV1048: $i,SV958: $i] :
( ( ( ~ ( in @ SV958 @ SV1048 ) )
= $true )
| ( ( in @ SV958 @ SV1 )
= $true )
| ( ( in @ SV1048 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK281_SY444 @ SV318 @ SV1 ) @ ( sK153_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5964]) ).
thf(6193,plain,
! [SV318: $i,SV1: $i,SV1049: $i,SV959: $i] :
( ( ( ~ ( in @ SV959 @ SV1049 ) )
= $true )
| ( ( in @ SV959 @ SV1 )
= $true )
| ( ( in @ SV1049 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( SV318
= ( sK281_SY444 @ SV318 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5965]) ).
thf(6194,plain,
! [SV318: $i,SV1: $i,SV1050: $i,SV960: $i] :
( ( ( ~ ( in @ SV960 @ SV1050 ) )
= $true )
| ( ( in @ SV960 @ SV1 )
= $true )
| ( ( in @ SV1050 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK281_SY444 @ SV318 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5966]) ).
thf(6195,plain,
! [SV320: $i,SV1: $i,SV1051: $i,SV961: $i] :
( ( ( ~ ( in @ SV961 @ SV1051 ) )
= $true )
| ( ( in @ SV961 @ SV1 )
= $true )
| ( ( in @ SV1051 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK282_SY445 @ SV320 @ SV1 ) @ ( sK154_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5967]) ).
thf(6196,plain,
! [SV320: $i,SV1: $i,SV1052: $i,SV962: $i] :
( ( ( ~ ( in @ SV962 @ SV1052 ) )
= $true )
| ( ( in @ SV962 @ SV1 )
= $true )
| ( ( in @ SV1052 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( SV320
= ( sK282_SY445 @ SV320 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5968]) ).
thf(6197,plain,
! [SV320: $i,SV1: $i,SV1053: $i,SV963: $i] :
( ( ( ~ ( in @ SV963 @ SV1053 ) )
= $true )
| ( ( in @ SV963 @ SV1 )
= $true )
| ( ( in @ SV1053 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK282_SY445 @ SV320 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5969]) ).
thf(6198,plain,
! [SV322: $i,SV1: $i,SV1054: $i,SV964: $i] :
( ( ( ~ ( in @ SV964 @ SV1054 ) )
= $true )
| ( ( in @ SV964 @ SV1 )
= $true )
| ( ( in @ SV1054 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK283_SY446 @ SV322 @ SV1 ) @ ( sK155_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5970]) ).
thf(6199,plain,
! [SV322: $i,SV1: $i,SV1055: $i,SV965: $i] :
( ( ( ~ ( in @ SV965 @ SV1055 ) )
= $true )
| ( ( in @ SV965 @ SV1 )
= $true )
| ( ( in @ SV1055 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( SV322
= ( sK283_SY446 @ SV322 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5971]) ).
thf(6200,plain,
! [SV322: $i,SV1: $i,SV1056: $i,SV966: $i] :
( ( ( ~ ( in @ SV966 @ SV1056 ) )
= $true )
| ( ( in @ SV966 @ SV1 )
= $true )
| ( ( in @ SV1056 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK283_SY446 @ SV322 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5972]) ).
thf(6201,plain,
! [SV256: $i,SV1: $i,SV967: $i,SV895: $i] :
( ( ( in @ SV895 @ SV967 )
= $false )
| ( ( in @ SV895 @ SV1 )
= $true )
| ( ( in @ SV967 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK266_SY379 @ SV256 @ SV1 ) @ ( sK130_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5973]) ).
thf(6202,plain,
! [SV256: $i,SV1: $i,SV968: $i,SV896: $i] :
( ( ( in @ SV896 @ SV968 )
= $false )
| ( ( in @ SV896 @ SV1 )
= $true )
| ( ( in @ SV968 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( SV256
= ( sK266_SY379 @ SV256 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5974]) ).
thf(6203,plain,
! [SV256: $i,SV1: $i,SV969: $i,SV897: $i] :
( ( ( in @ SV897 @ SV969 )
= $false )
| ( ( in @ SV897 @ SV1 )
= $true )
| ( ( in @ SV969 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK130_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV256 @ ( sK266_SY379 @ SV256 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5975]) ).
thf(6204,plain,
! [SV258: $i,SV1: $i,SV970: $i,SV898: $i] :
( ( ( in @ SV898 @ SV970 )
= $false )
| ( ( in @ SV898 @ SV1 )
= $true )
| ( ( in @ SV970 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK267_SY380 @ SV258 @ SV1 ) @ ( sK131_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5976]) ).
thf(6205,plain,
! [SV258: $i,SV1: $i,SV971: $i,SV899: $i] :
( ( ( in @ SV899 @ SV971 )
= $false )
| ( ( in @ SV899 @ SV1 )
= $true )
| ( ( in @ SV971 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( SV258
= ( sK267_SY380 @ SV258 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5977]) ).
thf(6206,plain,
! [SV258: $i,SV1: $i,SV972: $i,SV900: $i] :
( ( ( in @ SV900 @ SV972 )
= $false )
| ( ( in @ SV900 @ SV1 )
= $true )
| ( ( in @ SV972 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK67_SY7 @ SV1 ) @ ( sK67_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK29_SY33 @ SV1 ) @ ( sK20_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK131_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV258 @ ( sK267_SY380 @ SV258 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5978]) ).
thf(6207,plain,
! [SV382: $i,SV1057: $i,SV1: $i,SV1117: $i] :
( ( ( in @ SV1117 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1057 @ SV1117 )
| ( in @ SV1057 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK296_SY517 @ SV382 @ SV1 ) @ ( sK176_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5979]) ).
thf(6208,plain,
! [SV382: $i,SV1058: $i,SV1: $i,SV1118: $i] :
( ( ( in @ SV1118 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1058 @ SV1118 )
| ( in @ SV1058 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( SV382
= ( sK296_SY517 @ SV382 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5980]) ).
thf(6209,plain,
! [SV382: $i,SV1059: $i,SV1: $i,SV1119: $i] :
( ( ( in @ SV1119 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1059 @ SV1119 )
| ( in @ SV1059 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV382 @ ( sK296_SY517 @ SV382 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5981]) ).
thf(6210,plain,
! [SV384: $i,SV1060: $i,SV1: $i,SV1120: $i] :
( ( ( in @ SV1120 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1060 @ SV1120 )
| ( in @ SV1060 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK297_SY518 @ SV384 @ SV1 ) @ ( sK177_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5982]) ).
thf(6211,plain,
! [SV384: $i,SV1061: $i,SV1: $i,SV1121: $i] :
( ( ( in @ SV1121 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1061 @ SV1121 )
| ( in @ SV1061 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( SV384
= ( sK297_SY518 @ SV384 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5983]) ).
thf(6212,plain,
! [SV384: $i,SV1062: $i,SV1: $i,SV1122: $i] :
( ( ( in @ SV1122 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1062 @ SV1122 )
| ( in @ SV1062 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV384 @ ( sK297_SY518 @ SV384 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5984]) ).
thf(6213,plain,
! [SV482: $i,SV1141: $i,SV1: $i,SV1189: $i] :
( ( ( ~ ( in @ SV1189 @ SV1 )
| ~ ( in @ SV1141 @ SV1189 )
| ( in @ SV1141 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK304_SY573 @ SV482 @ SV1 ) @ ( sK186_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5985]) ).
thf(6214,plain,
! [SV482: $i,SV1142: $i,SV1: $i,SV1190: $i] :
( ( ( ~ ( in @ SV1190 @ SV1 )
| ~ ( in @ SV1142 @ SV1190 )
| ( in @ SV1142 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( SV482
= ( sK304_SY573 @ SV482 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5986]) ).
thf(6215,plain,
! [SV482: $i,SV1143: $i,SV1: $i,SV1191: $i] :
( ( ( ~ ( in @ SV1191 @ SV1 )
| ~ ( in @ SV1143 @ SV1191 )
| ( in @ SV1143 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV482 @ ( sK304_SY573 @ SV482 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5987]) ).
thf(6216,plain,
! [SV484: $i,SV1144: $i,SV1: $i,SV1192: $i] :
( ( ( ~ ( in @ SV1192 @ SV1 )
| ~ ( in @ SV1144 @ SV1192 )
| ( in @ SV1144 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK305_SY574 @ SV484 @ SV1 ) @ ( sK187_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5988]) ).
thf(6217,plain,
! [SV484: $i,SV1145: $i,SV1: $i,SV1193: $i] :
( ( ( ~ ( in @ SV1193 @ SV1 )
| ~ ( in @ SV1145 @ SV1193 )
| ( in @ SV1145 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( SV484
= ( sK305_SY574 @ SV484 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5989]) ).
thf(6218,plain,
! [SV484: $i,SV1146: $i,SV1: $i,SV1194: $i] :
( ( ( ~ ( in @ SV1194 @ SV1 )
| ~ ( in @ SV1146 @ SV1194 )
| ( in @ SV1146 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV484 @ ( sK305_SY574 @ SV484 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5990]) ).
thf(6219,plain,
! [SV562: $i,SV1195: $i,SV1: $i] :
( ( ( ! [SY953: $i] :
( ~ ( in @ SY953 @ SV1 )
| ~ ( in @ SV1195 @ SY953 )
| ( in @ SV1195 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK320_SY625 @ SV562 @ SV1 ) @ ( sK204_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5991]) ).
thf(6220,plain,
! [SV562: $i,SV1196: $i,SV1: $i] :
( ( ( ! [SY954: $i] :
( ~ ( in @ SY954 @ SV1 )
| ~ ( in @ SV1196 @ SY954 )
| ( in @ SV1196 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( SV562
= ( sK320_SY625 @ SV562 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5992]) ).
thf(6221,plain,
! [SV562: $i,SV1197: $i,SV1: $i] :
( ( ( ! [SY955: $i] :
( ~ ( in @ SY955 @ SV1 )
| ~ ( in @ SV1197 @ SY955 )
| ( in @ SV1197 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK320_SY625 @ SV562 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5993]) ).
thf(6222,plain,
! [SV564: $i,SV1198: $i,SV1: $i] :
( ( ( ! [SY956: $i] :
( ~ ( in @ SY956 @ SV1 )
| ~ ( in @ SV1198 @ SY956 )
| ( in @ SV1198 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK321_SY626 @ SV564 @ SV1 ) @ ( sK205_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5994]) ).
thf(6223,plain,
! [SV564: $i,SV1199: $i,SV1: $i] :
( ( ( ! [SY957: $i] :
( ~ ( in @ SY957 @ SV1 )
| ~ ( in @ SV1199 @ SY957 )
| ( in @ SV1199 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( SV564
= ( sK321_SY626 @ SV564 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5995]) ).
thf(6224,plain,
! [SV564: $i,SV1200: $i,SV1: $i] :
( ( ( ! [SY958: $i] :
( ~ ( in @ SY958 @ SV1 )
| ~ ( in @ SV1200 @ SY958 )
| ( in @ SV1200 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK321_SY626 @ SV564 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5996]) ).
thf(6225,plain,
! [SV566: $i,SV1201: $i,SV1: $i] :
( ( ( ! [SY959: $i] :
( ~ ( in @ SY959 @ SV1 )
| ~ ( in @ SV1201 @ SY959 )
| ( in @ SV1201 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK322_SY627 @ SV566 @ SV1 ) @ ( sK206_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5997]) ).
thf(6226,plain,
! [SV566: $i,SV1202: $i,SV1: $i] :
( ( ( ! [SY960: $i] :
( ~ ( in @ SY960 @ SV1 )
| ~ ( in @ SV1202 @ SY960 )
| ( in @ SV1202 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( SV566
= ( sK322_SY627 @ SV566 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5998]) ).
thf(6227,plain,
! [SV566: $i,SV1203: $i,SV1: $i] :
( ( ( ! [SY961: $i] :
( ~ ( in @ SY961 @ SV1 )
| ~ ( in @ SV1203 @ SY961 )
| ( in @ SV1203 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK322_SY627 @ SV566 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5999]) ).
thf(6228,plain,
! [SV568: $i,SV1204: $i,SV1: $i] :
( ( ( ! [SY962: $i] :
( ~ ( in @ SY962 @ SV1 )
| ~ ( in @ SV1204 @ SY962 )
| ( in @ SV1204 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK323_SY628 @ SV568 @ SV1 ) @ ( sK207_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6000]) ).
thf(6229,plain,
! [SV568: $i,SV1205: $i,SV1: $i] :
( ( ( ! [SY963: $i] :
( ~ ( in @ SY963 @ SV1 )
| ~ ( in @ SV1205 @ SY963 )
| ( in @ SV1205 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( SV568
= ( sK323_SY628 @ SV568 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6001]) ).
thf(6230,plain,
! [SV568: $i,SV1206: $i,SV1: $i] :
( ( ( ! [SY964: $i] :
( ~ ( in @ SY964 @ SV1 )
| ~ ( in @ SV1206 @ SY964 )
| ( in @ SV1206 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK323_SY628 @ SV568 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6002]) ).
thf(6231,plain,
! [SV490: $i,SV1147: $i,SV1: $i,SV1207: $i] :
( ( ( ~ ( in @ SV1207 @ SV1 )
| ~ ( in @ SV1147 @ SV1207 )
| ( in @ SV1147 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK306_SY579 @ SV490 @ SV1 ) @ ( sK188_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6003]) ).
thf(6232,plain,
! [SV490: $i,SV1148: $i,SV1: $i,SV1208: $i] :
( ( ( ~ ( in @ SV1208 @ SV1 )
| ~ ( in @ SV1148 @ SV1208 )
| ( in @ SV1148 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( SV490
= ( sK306_SY579 @ SV490 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6004]) ).
thf(6233,plain,
! [SV490: $i,SV1149: $i,SV1: $i,SV1209: $i] :
( ( ( ~ ( in @ SV1209 @ SV1 )
| ~ ( in @ SV1149 @ SV1209 )
| ( in @ SV1149 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK306_SY579 @ SV490 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6005]) ).
thf(6234,plain,
! [SV492: $i,SV1150: $i,SV1: $i,SV1210: $i] :
( ( ( ~ ( in @ SV1210 @ SV1 )
| ~ ( in @ SV1150 @ SV1210 )
| ( in @ SV1150 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK307_SY580 @ SV492 @ SV1 ) @ ( sK189_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6006]) ).
thf(6235,plain,
! [SV492: $i,SV1151: $i,SV1: $i,SV1211: $i] :
( ( ( ~ ( in @ SV1211 @ SV1 )
| ~ ( in @ SV1151 @ SV1211 )
| ( in @ SV1151 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( SV492
= ( sK307_SY580 @ SV492 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6007]) ).
thf(6236,plain,
! [SV492: $i,SV1152: $i,SV1: $i,SV1212: $i] :
( ( ( ~ ( in @ SV1212 @ SV1 )
| ~ ( in @ SV1152 @ SV1212 )
| ( in @ SV1152 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK307_SY580 @ SV492 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6008]) ).
thf(6237,plain,
! [SV386: $i,SV1063: $i,SV1: $i,SV1123: $i] :
( ( ( in @ SV1123 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1063 @ SV1123 )
| ( in @ SV1063 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK298_SY519 @ SV386 @ SV1 ) @ ( sK178_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6009]) ).
thf(6238,plain,
! [SV386: $i,SV1064: $i,SV1: $i,SV1124: $i] :
( ( ( in @ SV1124 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1064 @ SV1124 )
| ( in @ SV1064 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( SV386
= ( sK298_SY519 @ SV386 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6010]) ).
thf(6239,plain,
! [SV386: $i,SV1065: $i,SV1: $i,SV1125: $i] :
( ( ( in @ SV1125 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1065 @ SV1125 )
| ( in @ SV1065 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV386 @ ( sK298_SY519 @ SV386 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6011]) ).
thf(6240,plain,
! [SV388: $i,SV1066: $i,SV1: $i,SV1126: $i] :
( ( ( in @ SV1126 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1066 @ SV1126 )
| ( in @ SV1066 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK299_SY520 @ SV388 @ SV1 ) @ ( sK179_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6012]) ).
thf(6241,plain,
! [SV388: $i,SV1067: $i,SV1: $i,SV1127: $i] :
( ( ( in @ SV1127 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1067 @ SV1127 )
| ( in @ SV1067 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( SV388
= ( sK299_SY520 @ SV388 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6013]) ).
thf(6242,plain,
! [SV388: $i,SV1068: $i,SV1: $i,SV1128: $i] :
( ( ( in @ SV1128 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1068 @ SV1128 )
| ( in @ SV1068 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV388 @ ( sK299_SY520 @ SV388 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6014]) ).
thf(6243,plain,
! [SV496: $i,SV1153: $i,SV1: $i,SV1213: $i] :
( ( ( ~ ( in @ SV1213 @ SV1 )
| ~ ( in @ SV1153 @ SV1213 )
| ( in @ SV1153 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK308_SY581 @ SV496 @ SV1 ) @ ( sK190_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6015]) ).
thf(6244,plain,
! [SV496: $i,SV1154: $i,SV1: $i,SV1214: $i] :
( ( ( ~ ( in @ SV1214 @ SV1 )
| ~ ( in @ SV1154 @ SV1214 )
| ( in @ SV1154 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( SV496
= ( sK308_SY581 @ SV496 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6016]) ).
thf(6245,plain,
! [SV496: $i,SV1155: $i,SV1: $i,SV1215: $i] :
( ( ( ~ ( in @ SV1215 @ SV1 )
| ~ ( in @ SV1155 @ SV1215 )
| ( in @ SV1155 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV496 @ ( sK308_SY581 @ SV496 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6017]) ).
thf(6246,plain,
! [SV498: $i,SV1156: $i,SV1: $i,SV1216: $i] :
( ( ( ~ ( in @ SV1216 @ SV1 )
| ~ ( in @ SV1156 @ SV1216 )
| ( in @ SV1156 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK309_SY582 @ SV498 @ SV1 ) @ ( sK191_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6018]) ).
thf(6247,plain,
! [SV498: $i,SV1157: $i,SV1: $i,SV1217: $i] :
( ( ( ~ ( in @ SV1217 @ SV1 )
| ~ ( in @ SV1157 @ SV1217 )
| ( in @ SV1157 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( SV498
= ( sK309_SY582 @ SV498 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6019]) ).
thf(6248,plain,
! [SV498: $i,SV1158: $i,SV1: $i,SV1218: $i] :
( ( ( ~ ( in @ SV1218 @ SV1 )
| ~ ( in @ SV1158 @ SV1218 )
| ( in @ SV1158 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV498 @ ( sK309_SY582 @ SV498 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6020]) ).
thf(6249,plain,
! [SV574: $i,SV1219: $i,SV1: $i] :
( ( ( ! [SY965: $i] :
( ~ ( in @ SY965 @ SV1 )
| ~ ( in @ SV1219 @ SY965 )
| ( in @ SV1219 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK324_SY633 @ SV574 @ SV1 ) @ ( sK208_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6021]) ).
thf(6250,plain,
! [SV574: $i,SV1220: $i,SV1: $i] :
( ( ( ! [SY966: $i] :
( ~ ( in @ SY966 @ SV1 )
| ~ ( in @ SV1220 @ SY966 )
| ( in @ SV1220 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( SV574
= ( sK324_SY633 @ SV574 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6022]) ).
thf(6251,plain,
! [SV574: $i,SV1221: $i,SV1: $i] :
( ( ( ! [SY967: $i] :
( ~ ( in @ SY967 @ SV1 )
| ~ ( in @ SV1221 @ SY967 )
| ( in @ SV1221 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK324_SY633 @ SV574 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6023]) ).
thf(6252,plain,
! [SV576: $i,SV1222: $i,SV1: $i] :
( ( ( ! [SY968: $i] :
( ~ ( in @ SY968 @ SV1 )
| ~ ( in @ SV1222 @ SY968 )
| ( in @ SV1222 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK325_SY634 @ SV576 @ SV1 ) @ ( sK209_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6024]) ).
thf(6253,plain,
! [SV576: $i,SV1223: $i,SV1: $i] :
( ( ( ! [SY969: $i] :
( ~ ( in @ SY969 @ SV1 )
| ~ ( in @ SV1223 @ SY969 )
| ( in @ SV1223 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( SV576
= ( sK325_SY634 @ SV576 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6025]) ).
thf(6254,plain,
! [SV576: $i,SV1224: $i,SV1: $i] :
( ( ( ! [SY970: $i] :
( ~ ( in @ SY970 @ SV1 )
| ~ ( in @ SV1224 @ SY970 )
| ( in @ SV1224 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK325_SY634 @ SV576 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6026]) ).
thf(6255,plain,
! [SV578: $i,SV1225: $i,SV1: $i] :
( ( ( ! [SY971: $i] :
( ~ ( in @ SY971 @ SV1 )
| ~ ( in @ SV1225 @ SY971 )
| ( in @ SV1225 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK326_SY635 @ SV578 @ SV1 ) @ ( sK210_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6027]) ).
thf(6256,plain,
! [SV578: $i,SV1226: $i,SV1: $i] :
( ( ( ! [SY972: $i] :
( ~ ( in @ SY972 @ SV1 )
| ~ ( in @ SV1226 @ SY972 )
| ( in @ SV1226 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( SV578
= ( sK326_SY635 @ SV578 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6028]) ).
thf(6257,plain,
! [SV578: $i,SV1227: $i,SV1: $i] :
( ( ( ! [SY973: $i] :
( ~ ( in @ SY973 @ SV1 )
| ~ ( in @ SV1227 @ SY973 )
| ( in @ SV1227 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK326_SY635 @ SV578 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6029]) ).
thf(6258,plain,
! [SV580: $i,SV1228: $i,SV1: $i] :
( ( ( ! [SY974: $i] :
( ~ ( in @ SY974 @ SV1 )
| ~ ( in @ SV1228 @ SY974 )
| ( in @ SV1228 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK327_SY636 @ SV580 @ SV1 ) @ ( sK211_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6030]) ).
thf(6259,plain,
! [SV580: $i,SV1229: $i,SV1: $i] :
( ( ( ! [SY975: $i] :
( ~ ( in @ SY975 @ SV1 )
| ~ ( in @ SV1229 @ SY975 )
| ( in @ SV1229 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( SV580
= ( sK327_SY636 @ SV580 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6031]) ).
thf(6260,plain,
! [SV580: $i,SV1230: $i,SV1: $i] :
( ( ( ! [SY976: $i] :
( ~ ( in @ SY976 @ SV1 )
| ~ ( in @ SV1230 @ SY976 )
| ( in @ SV1230 @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK327_SY636 @ SV580 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6032]) ).
thf(6261,plain,
! [SV504: $i,SV1159: $i,SV1: $i,SV1231: $i] :
( ( ( ~ ( in @ SV1231 @ SV1 )
| ~ ( in @ SV1159 @ SV1231 )
| ( in @ SV1159 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK310_SY587 @ SV504 @ SV1 ) @ ( sK192_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6033]) ).
thf(6262,plain,
! [SV504: $i,SV1160: $i,SV1: $i,SV1232: $i] :
( ( ( ~ ( in @ SV1232 @ SV1 )
| ~ ( in @ SV1160 @ SV1232 )
| ( in @ SV1160 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( SV504
= ( sK310_SY587 @ SV504 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6034]) ).
thf(6263,plain,
! [SV504: $i,SV1161: $i,SV1: $i,SV1233: $i] :
( ( ( ~ ( in @ SV1233 @ SV1 )
| ~ ( in @ SV1161 @ SV1233 )
| ( in @ SV1161 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK310_SY587 @ SV504 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6035]) ).
thf(6264,plain,
! [SV506: $i,SV1162: $i,SV1: $i,SV1234: $i] :
( ( ( ~ ( in @ SV1234 @ SV1 )
| ~ ( in @ SV1162 @ SV1234 )
| ( in @ SV1162 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK311_SY588 @ SV506 @ SV1 ) @ ( sK193_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6036]) ).
thf(6265,plain,
! [SV506: $i,SV1163: $i,SV1: $i,SV1235: $i] :
( ( ( ~ ( in @ SV1235 @ SV1 )
| ~ ( in @ SV1163 @ SV1235 )
| ( in @ SV1163 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( SV506
= ( sK311_SY588 @ SV506 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6037]) ).
thf(6266,plain,
! [SV506: $i,SV1164: $i,SV1: $i,SV1236: $i] :
( ( ( ~ ( in @ SV1236 @ SV1 )
| ~ ( in @ SV1164 @ SV1236 )
| ( in @ SV1164 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK311_SY588 @ SV506 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6038]) ).
thf(6267,plain,
! [SV262: $i,SV1: $i,SV973: $i,SV901: $i] :
( ( ( in @ SV901 @ SV973 )
= $false )
| ( ( in @ SV901 @ SV1 )
= $true )
| ( ( in @ SV973 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK268_SY397 @ SV262 @ SV1 ) @ ( sK136_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6039]) ).
thf(6268,plain,
! [SV262: $i,SV1: $i,SV974: $i,SV902: $i] :
( ( ( in @ SV902 @ SV974 )
= $false )
| ( ( in @ SV902 @ SV1 )
= $true )
| ( ( in @ SV974 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( SV262
= ( sK268_SY397 @ SV262 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6040]) ).
thf(6269,plain,
! [SV262: $i,SV1: $i,SV975: $i,SV903: $i] :
( ( ( in @ SV903 @ SV975 )
= $false )
| ( ( in @ SV903 @ SV1 )
= $true )
| ( ( in @ SV975 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV262 @ ( sK136_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV262 @ ( sK268_SY397 @ SV262 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6041]) ).
thf(6270,plain,
! [SV264: $i,SV1: $i,SV976: $i,SV904: $i] :
( ( ( in @ SV904 @ SV976 )
= $false )
| ( ( in @ SV904 @ SV1 )
= $true )
| ( ( in @ SV976 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK269_SY398 @ SV264 @ SV1 ) @ ( sK137_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6042]) ).
thf(6271,plain,
! [SV264: $i,SV1: $i,SV977: $i,SV905: $i] :
( ( ( in @ SV905 @ SV977 )
= $false )
| ( ( in @ SV905 @ SV1 )
= $true )
| ( ( in @ SV977 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( SV264
= ( sK269_SY398 @ SV264 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6043]) ).
thf(6272,plain,
! [SV264: $i,SV1: $i,SV978: $i,SV906: $i] :
( ( ( in @ SV906 @ SV978 )
= $false )
| ( ( in @ SV906 @ SV1 )
= $true )
| ( ( in @ SV978 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK70_SY7 @ SV1 ) @ ( sK70_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV264 @ ( sK137_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV264 @ ( sK269_SY398 @ SV264 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6044]) ).
thf(6273,plain,
! [SV332: $i,SV1: $i,SV1069: $i,SV979: $i] :
( ( ( ~ ( in @ SV979 @ SV1069 ) )
= $true )
| ( ( in @ SV979 @ SV1 )
= $true )
| ( ( in @ SV1069 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK284_SY471 @ SV332 @ SV1 ) @ ( sK160_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6045]) ).
thf(6274,plain,
! [SV332: $i,SV1: $i,SV1070: $i,SV980: $i] :
( ( ( ~ ( in @ SV980 @ SV1070 ) )
= $true )
| ( ( in @ SV980 @ SV1 )
= $true )
| ( ( in @ SV1070 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( SV332
= ( sK284_SY471 @ SV332 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6046]) ).
thf(6275,plain,
! [SV332: $i,SV1: $i,SV1071: $i,SV981: $i] :
( ( ( ~ ( in @ SV981 @ SV1071 ) )
= $true )
| ( ( in @ SV981 @ SV1 )
= $true )
| ( ( in @ SV1071 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK284_SY471 @ SV332 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6047]) ).
thf(6276,plain,
! [SV334: $i,SV1: $i,SV1072: $i,SV982: $i] :
( ( ( ~ ( in @ SV982 @ SV1072 ) )
= $true )
| ( ( in @ SV982 @ SV1 )
= $true )
| ( ( in @ SV1072 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK285_SY472 @ SV334 @ SV1 ) @ ( sK161_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6048]) ).
thf(6277,plain,
! [SV334: $i,SV1: $i,SV1073: $i,SV983: $i] :
( ( ( ~ ( in @ SV983 @ SV1073 ) )
= $true )
| ( ( in @ SV983 @ SV1 )
= $true )
| ( ( in @ SV1073 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( SV334
= ( sK285_SY472 @ SV334 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6049]) ).
thf(6278,plain,
! [SV334: $i,SV1: $i,SV1074: $i,SV984: $i] :
( ( ( ~ ( in @ SV984 @ SV1074 ) )
= $true )
| ( ( in @ SV984 @ SV1 )
= $true )
| ( ( in @ SV1074 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK285_SY472 @ SV334 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6050]) ).
thf(6279,plain,
! [SV336: $i,SV1: $i,SV1075: $i,SV985: $i] :
( ( ( ~ ( in @ SV985 @ SV1075 ) )
= $true )
| ( ( in @ SV985 @ SV1 )
= $true )
| ( ( in @ SV1075 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK286_SY473 @ SV336 @ SV1 ) @ ( sK162_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6051]) ).
thf(6280,plain,
! [SV336: $i,SV1: $i,SV1076: $i,SV986: $i] :
( ( ( ~ ( in @ SV986 @ SV1076 ) )
= $true )
| ( ( in @ SV986 @ SV1 )
= $true )
| ( ( in @ SV1076 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( SV336
= ( sK286_SY473 @ SV336 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6052]) ).
thf(6281,plain,
! [SV336: $i,SV1: $i,SV1077: $i,SV987: $i] :
( ( ( ~ ( in @ SV987 @ SV1077 ) )
= $true )
| ( ( in @ SV987 @ SV1 )
= $true )
| ( ( in @ SV1077 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK286_SY473 @ SV336 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6053]) ).
thf(6282,plain,
! [SV338: $i,SV1: $i,SV1078: $i,SV988: $i] :
( ( ( ~ ( in @ SV988 @ SV1078 ) )
= $true )
| ( ( in @ SV988 @ SV1 )
= $true )
| ( ( in @ SV1078 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK287_SY474 @ SV338 @ SV1 ) @ ( sK163_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6054]) ).
thf(6283,plain,
! [SV338: $i,SV1: $i,SV1079: $i,SV989: $i] :
( ( ( ~ ( in @ SV989 @ SV1079 ) )
= $true )
| ( ( in @ SV989 @ SV1 )
= $true )
| ( ( in @ SV1079 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( SV338
= ( sK287_SY474 @ SV338 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6055]) ).
thf(6284,plain,
! [SV338: $i,SV1: $i,SV1080: $i,SV990: $i] :
( ( ( ~ ( in @ SV990 @ SV1080 ) )
= $true )
| ( ( in @ SV990 @ SV1 )
= $true )
| ( ( in @ SV1080 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK287_SY474 @ SV338 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6056]) ).
thf(6285,plain,
! [SV270: $i,SV1: $i,SV991: $i,SV907: $i] :
( ( ( in @ SV907 @ SV991 )
= $false )
| ( ( in @ SV907 @ SV1 )
= $true )
| ( ( in @ SV991 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK270_SY403 @ SV270 @ SV1 ) @ ( sK138_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6057]) ).
thf(6286,plain,
! [SV270: $i,SV1: $i,SV992: $i,SV908: $i] :
( ( ( in @ SV908 @ SV992 )
= $false )
| ( ( in @ SV908 @ SV1 )
= $true )
| ( ( in @ SV992 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( SV270
= ( sK270_SY403 @ SV270 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6058]) ).
thf(6287,plain,
! [SV270: $i,SV1: $i,SV993: $i,SV909: $i] :
( ( ( in @ SV909 @ SV993 )
= $false )
| ( ( in @ SV909 @ SV1 )
= $true )
| ( ( in @ SV993 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK138_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV270 @ ( sK270_SY403 @ SV270 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6059]) ).
thf(6288,plain,
! [SV272: $i,SV1: $i,SV994: $i,SV910: $i] :
( ( ( in @ SV910 @ SV994 )
= $false )
| ( ( in @ SV910 @ SV1 )
= $true )
| ( ( in @ SV994 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK271_SY404 @ SV272 @ SV1 ) @ ( sK139_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6060]) ).
thf(6289,plain,
! [SV272: $i,SV1: $i,SV995: $i,SV911: $i] :
( ( ( in @ SV911 @ SV995 )
= $false )
| ( ( in @ SV911 @ SV1 )
= $true )
| ( ( in @ SV995 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( SV272
= ( sK271_SY404 @ SV272 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6061]) ).
thf(6290,plain,
! [SV272: $i,SV1: $i,SV996: $i,SV912: $i] :
( ( ( in @ SV912 @ SV996 )
= $false )
| ( ( in @ SV912 @ SV1 )
= $true )
| ( ( in @ SV996 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK71_SY7 @ SV1 ) @ ( sK71_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK30_SY34 @ SV1 ) @ ( sK21_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK139_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV272 @ ( sK271_SY404 @ SV272 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6062]) ).
thf(6291,plain,
! [SV284: $i,SV1: $i,SV997: $i,SV925: $i] :
( ( ( in @ SV925 @ SV997 )
= $false )
| ( ( in @ SV925 @ SV1 )
= $true )
| ( ( in @ SV997 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK272_SY409 @ SV284 @ SV1 ) @ ( sK140_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6075]) ).
thf(6292,plain,
! [SV284: $i,SV1: $i,SV998: $i,SV926: $i] :
( ( ( in @ SV926 @ SV998 )
= $false )
| ( ( in @ SV926 @ SV1 )
= $true )
| ( ( in @ SV998 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( SV284
= ( sK272_SY409 @ SV284 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6076]) ).
thf(6293,plain,
! [SV284: $i,SV1: $i,SV999: $i,SV927: $i] :
( ( ( in @ SV927 @ SV999 )
= $false )
| ( ( in @ SV927 @ SV1 )
= $true )
| ( ( in @ SV999 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV284 @ ( sK140_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV284 @ ( sK272_SY409 @ SV284 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6077]) ).
thf(6294,plain,
! [SV286: $i,SV1: $i,SV1000: $i,SV928: $i] :
( ( ( in @ SV928 @ SV1000 )
= $false )
| ( ( in @ SV928 @ SV1 )
= $true )
| ( ( in @ SV1000 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK273_SY410 @ SV286 @ SV1 ) @ ( sK141_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6078]) ).
thf(6295,plain,
! [SV286: $i,SV1: $i,SV1001: $i,SV929: $i] :
( ( ( in @ SV929 @ SV1001 )
= $false )
| ( ( in @ SV929 @ SV1 )
= $true )
| ( ( in @ SV1001 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( SV286
= ( sK273_SY410 @ SV286 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6079]) ).
thf(6296,plain,
! [SV286: $i,SV1: $i,SV1002: $i,SV930: $i] :
( ( ( in @ SV930 @ SV1002 )
= $false )
| ( ( in @ SV930 @ SV1 )
= $true )
| ( ( in @ SV1002 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK78_SY7 @ SV1 ) @ ( sK78_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV286 @ ( sK141_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV286 @ ( sK273_SY410 @ SV286 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6080]) ).
thf(6297,plain,
! [SV348: $i,SV1: $i,SV1081: $i,SV1003: $i] :
( ( ( ~ ( in @ SV1003 @ SV1081 ) )
= $true )
| ( ( in @ SV1003 @ SV1 )
= $true )
| ( ( in @ SV1081 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK288_SY479 @ SV348 @ SV1 ) @ ( sK164_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6081]) ).
thf(6298,plain,
! [SV348: $i,SV1: $i,SV1082: $i,SV1004: $i] :
( ( ( ~ ( in @ SV1004 @ SV1082 ) )
= $true )
| ( ( in @ SV1004 @ SV1 )
= $true )
| ( ( in @ SV1082 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( SV348
= ( sK288_SY479 @ SV348 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6082]) ).
thf(6299,plain,
! [SV348: $i,SV1: $i,SV1083: $i,SV1005: $i] :
( ( ( ~ ( in @ SV1005 @ SV1083 ) )
= $true )
| ( ( in @ SV1005 @ SV1 )
= $true )
| ( ( in @ SV1083 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK288_SY479 @ SV348 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6083]) ).
thf(6300,plain,
! [SV350: $i,SV1: $i,SV1084: $i,SV1006: $i] :
( ( ( ~ ( in @ SV1006 @ SV1084 ) )
= $true )
| ( ( in @ SV1006 @ SV1 )
= $true )
| ( ( in @ SV1084 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK289_SY480 @ SV350 @ SV1 ) @ ( sK165_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6084]) ).
thf(6301,plain,
! [SV350: $i,SV1: $i,SV1085: $i,SV1007: $i] :
( ( ( ~ ( in @ SV1007 @ SV1085 ) )
= $true )
| ( ( in @ SV1007 @ SV1 )
= $true )
| ( ( in @ SV1085 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( SV350
= ( sK289_SY480 @ SV350 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6085]) ).
thf(6302,plain,
! [SV350: $i,SV1: $i,SV1086: $i,SV1008: $i] :
( ( ( ~ ( in @ SV1008 @ SV1086 ) )
= $true )
| ( ( in @ SV1008 @ SV1 )
= $true )
| ( ( in @ SV1086 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK289_SY480 @ SV350 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6086]) ).
thf(6303,plain,
! [SV352: $i,SV1: $i,SV1087: $i,SV1009: $i] :
( ( ( ~ ( in @ SV1009 @ SV1087 ) )
= $true )
| ( ( in @ SV1009 @ SV1 )
= $true )
| ( ( in @ SV1087 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK290_SY481 @ SV352 @ SV1 ) @ ( sK166_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6087]) ).
thf(6304,plain,
! [SV352: $i,SV1: $i,SV1088: $i,SV1010: $i] :
( ( ( ~ ( in @ SV1010 @ SV1088 ) )
= $true )
| ( ( in @ SV1010 @ SV1 )
= $true )
| ( ( in @ SV1088 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( SV352
= ( sK290_SY481 @ SV352 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6088]) ).
thf(6305,plain,
! [SV352: $i,SV1: $i,SV1089: $i,SV1011: $i] :
( ( ( ~ ( in @ SV1011 @ SV1089 ) )
= $true )
| ( ( in @ SV1011 @ SV1 )
= $true )
| ( ( in @ SV1089 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK290_SY481 @ SV352 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6089]) ).
thf(6306,plain,
! [SV354: $i,SV1: $i,SV1090: $i,SV1012: $i] :
( ( ( ~ ( in @ SV1012 @ SV1090 ) )
= $true )
| ( ( in @ SV1012 @ SV1 )
= $true )
| ( ( in @ SV1090 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK291_SY482 @ SV354 @ SV1 ) @ ( sK167_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6090]) ).
thf(6307,plain,
! [SV354: $i,SV1: $i,SV1091: $i,SV1013: $i] :
( ( ( ~ ( in @ SV1013 @ SV1091 ) )
= $true )
| ( ( in @ SV1013 @ SV1 )
= $true )
| ( ( in @ SV1091 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( SV354
= ( sK291_SY482 @ SV354 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6091]) ).
thf(6308,plain,
! [SV354: $i,SV1: $i,SV1092: $i,SV1014: $i] :
( ( ( ~ ( in @ SV1014 @ SV1092 ) )
= $true )
| ( ( in @ SV1014 @ SV1 )
= $true )
| ( ( in @ SV1092 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK291_SY482 @ SV354 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6092]) ).
thf(6309,plain,
! [SV292: $i,SV1: $i,SV1015: $i,SV931: $i] :
( ( ( in @ SV931 @ SV1015 )
= $false )
| ( ( in @ SV931 @ SV1 )
= $true )
| ( ( in @ SV1015 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK274_SY415 @ SV292 @ SV1 ) @ ( sK142_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6093]) ).
thf(6310,plain,
! [SV292: $i,SV1: $i,SV1016: $i,SV932: $i] :
( ( ( in @ SV932 @ SV1016 )
= $false )
| ( ( in @ SV932 @ SV1 )
= $true )
| ( ( in @ SV1016 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( SV292
= ( sK274_SY415 @ SV292 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6094]) ).
thf(6311,plain,
! [SV292: $i,SV1: $i,SV1017: $i,SV933: $i] :
( ( ( in @ SV933 @ SV1017 )
= $false )
| ( ( in @ SV933 @ SV1 )
= $true )
| ( ( in @ SV1017 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK142_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV292 @ ( sK274_SY415 @ SV292 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6095]) ).
thf(6312,plain,
! [SV294: $i,SV1: $i,SV1018: $i,SV934: $i] :
( ( ( in @ SV934 @ SV1018 )
= $false )
| ( ( in @ SV934 @ SV1 )
= $true )
| ( ( in @ SV1018 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK275_SY416 @ SV294 @ SV1 ) @ ( sK143_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6096]) ).
thf(6313,plain,
! [SV294: $i,SV1: $i,SV1019: $i,SV935: $i] :
( ( ( in @ SV935 @ SV1019 )
= $false )
| ( ( in @ SV935 @ SV1 )
= $true )
| ( ( in @ SV1019 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( SV294
= ( sK275_SY416 @ SV294 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6097]) ).
thf(6314,plain,
! [SV294: $i,SV1: $i,SV1020: $i,SV936: $i] :
( ( ( in @ SV936 @ SV1020 )
= $false )
| ( ( in @ SV936 @ SV1 )
= $true )
| ( ( in @ SV1020 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK79_SY7 @ SV1 ) @ ( sK79_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK34_SY35 @ SV1 ) @ ( sK24_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK143_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV294 @ ( sK275_SY416 @ SV294 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6098]) ).
thf(6315,plain,
! [SV406: $i,SV1093: $i,SV1: $i,SV1129: $i] :
( ( ( in @ SV1129 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1093 @ SV1129 )
| ( in @ SV1093 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK300_SY529 @ SV406 @ SV1 ) @ ( sK180_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6099]) ).
thf(6316,plain,
! [SV406: $i,SV1094: $i,SV1: $i,SV1130: $i] :
( ( ( in @ SV1130 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1094 @ SV1130 )
| ( in @ SV1094 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( SV406
= ( sK300_SY529 @ SV406 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6100]) ).
thf(6317,plain,
! [SV406: $i,SV1095: $i,SV1: $i,SV1131: $i] :
( ( ( in @ SV1131 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1095 @ SV1131 )
| ( in @ SV1095 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV406 @ ( sK300_SY529 @ SV406 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6101]) ).
thf(6318,plain,
! [SV408: $i,SV1096: $i,SV1: $i,SV1132: $i] :
( ( ( in @ SV1132 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1096 @ SV1132 )
| ( in @ SV1096 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK301_SY530 @ SV408 @ SV1 ) @ ( sK181_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6102]) ).
thf(6319,plain,
! [SV408: $i,SV1097: $i,SV1: $i,SV1133: $i] :
( ( ( in @ SV1133 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1097 @ SV1133 )
| ( in @ SV1097 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( SV408
= ( sK301_SY530 @ SV408 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6103]) ).
thf(6320,plain,
! [SV408: $i,SV1098: $i,SV1: $i,SV1134: $i] :
( ( ( in @ SV1134 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1098 @ SV1134 )
| ( in @ SV1098 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV408 @ ( sK301_SY530 @ SV408 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6104]) ).
thf(6321,plain,
! [SV516: $i,SV1165: $i,SV1: $i,SV1237: $i] :
( ( ( ~ ( in @ SV1237 @ SV1 )
| ~ ( in @ SV1165 @ SV1237 )
| ( in @ SV1165 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK312_SY589 @ SV516 @ SV1 ) @ ( sK196_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6105]) ).
thf(6322,plain,
! [SV516: $i,SV1166: $i,SV1: $i,SV1238: $i] :
( ( ( ~ ( in @ SV1238 @ SV1 )
| ~ ( in @ SV1166 @ SV1238 )
| ( in @ SV1166 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( SV516
= ( sK312_SY589 @ SV516 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6106]) ).
thf(6323,plain,
! [SV516: $i,SV1167: $i,SV1: $i,SV1239: $i] :
( ( ( ~ ( in @ SV1239 @ SV1 )
| ~ ( in @ SV1167 @ SV1239 )
| ( in @ SV1167 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV516 @ ( sK312_SY589 @ SV516 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6107]) ).
thf(6324,plain,
! [SV518: $i,SV1168: $i,SV1: $i,SV1240: $i] :
( ( ( ~ ( in @ SV1240 @ SV1 )
| ~ ( in @ SV1168 @ SV1240 )
| ( in @ SV1168 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK313_SY590 @ SV518 @ SV1 ) @ ( sK197_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6108]) ).
thf(6325,plain,
! [SV518: $i,SV1169: $i,SV1: $i,SV1241: $i] :
( ( ( ~ ( in @ SV1241 @ SV1 )
| ~ ( in @ SV1169 @ SV1241 )
| ( in @ SV1169 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( SV518
= ( sK313_SY590 @ SV518 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6109]) ).
thf(6326,plain,
! [SV518: $i,SV1170: $i,SV1: $i,SV1242: $i] :
( ( ( ~ ( in @ SV1242 @ SV1 )
| ~ ( in @ SV1170 @ SV1242 )
| ( in @ SV1170 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV518 @ ( sK313_SY590 @ SV518 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6110]) ).
thf(6327,plain,
! [SV604: $i,SV1243: $i,SV1: $i] :
( ( ( ! [SY977: $i] :
( ~ ( in @ SY977 @ SV1 )
| ~ ( in @ SV1243 @ SY977 )
| ( in @ SV1243 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK328_SY659 @ SV604 @ SV1 ) @ ( sK212_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6111]) ).
thf(6328,plain,
! [SV604: $i,SV1244: $i,SV1: $i] :
( ( ( ! [SY978: $i] :
( ~ ( in @ SY978 @ SV1 )
| ~ ( in @ SV1244 @ SY978 )
| ( in @ SV1244 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( SV604
= ( sK328_SY659 @ SV604 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6112]) ).
thf(6329,plain,
! [SV604: $i,SV1245: $i,SV1: $i] :
( ( ( ! [SY979: $i] :
( ~ ( in @ SY979 @ SV1 )
| ~ ( in @ SV1245 @ SY979 )
| ( in @ SV1245 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK328_SY659 @ SV604 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6113]) ).
thf(6330,plain,
! [SV606: $i,SV1246: $i,SV1: $i] :
( ( ( ! [SY980: $i] :
( ~ ( in @ SY980 @ SV1 )
| ~ ( in @ SV1246 @ SY980 )
| ( in @ SV1246 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK329_SY660 @ SV606 @ SV1 ) @ ( sK213_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6114]) ).
thf(6331,plain,
! [SV606: $i,SV1247: $i,SV1: $i] :
( ( ( ! [SY981: $i] :
( ~ ( in @ SY981 @ SV1 )
| ~ ( in @ SV1247 @ SY981 )
| ( in @ SV1247 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( SV606
= ( sK329_SY660 @ SV606 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6115]) ).
thf(6332,plain,
! [SV606: $i,SV1248: $i,SV1: $i] :
( ( ( ! [SY982: $i] :
( ~ ( in @ SY982 @ SV1 )
| ~ ( in @ SV1248 @ SY982 )
| ( in @ SV1248 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK329_SY660 @ SV606 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6116]) ).
thf(6333,plain,
! [SV608: $i,SV1249: $i,SV1: $i] :
( ( ( ! [SY983: $i] :
( ~ ( in @ SY983 @ SV1 )
| ~ ( in @ SV1249 @ SY983 )
| ( in @ SV1249 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK330_SY661 @ SV608 @ SV1 ) @ ( sK214_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6117]) ).
thf(6334,plain,
! [SV608: $i,SV1250: $i,SV1: $i] :
( ( ( ! [SY984: $i] :
( ~ ( in @ SY984 @ SV1 )
| ~ ( in @ SV1250 @ SY984 )
| ( in @ SV1250 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( SV608
= ( sK330_SY661 @ SV608 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6118]) ).
thf(6335,plain,
! [SV608: $i,SV1251: $i,SV1: $i] :
( ( ( ! [SY985: $i] :
( ~ ( in @ SY985 @ SV1 )
| ~ ( in @ SV1251 @ SY985 )
| ( in @ SV1251 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK330_SY661 @ SV608 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6119]) ).
thf(6336,plain,
! [SV610: $i,SV1252: $i,SV1: $i] :
( ( ( ! [SY986: $i] :
( ~ ( in @ SY986 @ SV1 )
| ~ ( in @ SV1252 @ SY986 )
| ( in @ SV1252 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK331_SY662 @ SV610 @ SV1 ) @ ( sK215_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6120]) ).
thf(6337,plain,
! [SV610: $i,SV1253: $i,SV1: $i] :
( ( ( ! [SY987: $i] :
( ~ ( in @ SY987 @ SV1 )
| ~ ( in @ SV1253 @ SY987 )
| ( in @ SV1253 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( SV610
= ( sK331_SY662 @ SV610 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6121]) ).
thf(6338,plain,
! [SV610: $i,SV1254: $i,SV1: $i] :
( ( ( ! [SY988: $i] :
( ~ ( in @ SY988 @ SV1 )
| ~ ( in @ SV1254 @ SY988 )
| ( in @ SV1254 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK331_SY662 @ SV610 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6122]) ).
thf(6339,plain,
! [SV524: $i,SV1171: $i,SV1: $i,SV1255: $i] :
( ( ( ~ ( in @ SV1255 @ SV1 )
| ~ ( in @ SV1171 @ SV1255 )
| ( in @ SV1171 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK314_SY595 @ SV524 @ SV1 ) @ ( sK198_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6123]) ).
thf(6340,plain,
! [SV524: $i,SV1172: $i,SV1: $i,SV1256: $i] :
( ( ( ~ ( in @ SV1256 @ SV1 )
| ~ ( in @ SV1172 @ SV1256 )
| ( in @ SV1172 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( SV524
= ( sK314_SY595 @ SV524 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6124]) ).
thf(6341,plain,
! [SV524: $i,SV1173: $i,SV1: $i,SV1257: $i] :
( ( ( ~ ( in @ SV1257 @ SV1 )
| ~ ( in @ SV1173 @ SV1257 )
| ( in @ SV1173 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK314_SY595 @ SV524 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6125]) ).
thf(6342,plain,
! [SV526: $i,SV1174: $i,SV1: $i,SV1258: $i] :
( ( ( ~ ( in @ SV1258 @ SV1 )
| ~ ( in @ SV1174 @ SV1258 )
| ( in @ SV1174 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK315_SY596 @ SV526 @ SV1 ) @ ( sK199_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6126]) ).
thf(6343,plain,
! [SV526: $i,SV1175: $i,SV1: $i,SV1259: $i] :
( ( ( ~ ( in @ SV1259 @ SV1 )
| ~ ( in @ SV1175 @ SV1259 )
| ( in @ SV1175 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( SV526
= ( sK315_SY596 @ SV526 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6127]) ).
thf(6344,plain,
! [SV526: $i,SV1176: $i,SV1: $i,SV1260: $i] :
( ( ( ~ ( in @ SV1260 @ SV1 )
| ~ ( in @ SV1176 @ SV1260 )
| ( in @ SV1176 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK315_SY596 @ SV526 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6128]) ).
thf(6345,plain,
! [SV410: $i,SV1099: $i,SV1: $i,SV1135: $i] :
( ( ( in @ SV1135 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1099 @ SV1135 )
| ( in @ SV1099 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK302_SY531 @ SV410 @ SV1 ) @ ( sK182_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6129]) ).
thf(6346,plain,
! [SV410: $i,SV1100: $i,SV1: $i,SV1136: $i] :
( ( ( in @ SV1136 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1100 @ SV1136 )
| ( in @ SV1100 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( SV410
= ( sK302_SY531 @ SV410 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6130]) ).
thf(6347,plain,
! [SV410: $i,SV1101: $i,SV1: $i,SV1137: $i] :
( ( ( in @ SV1137 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1101 @ SV1137 )
| ( in @ SV1101 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV410 @ ( sK302_SY531 @ SV410 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6131]) ).
thf(6348,plain,
! [SV412: $i,SV1102: $i,SV1: $i,SV1138: $i] :
( ( ( in @ SV1138 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1102 @ SV1138 )
| ( in @ SV1102 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK303_SY532 @ SV412 @ SV1 ) @ ( sK183_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6132]) ).
thf(6349,plain,
! [SV412: $i,SV1103: $i,SV1: $i,SV1139: $i] :
( ( ( in @ SV1139 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1103 @ SV1139 )
| ( in @ SV1103 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( SV412
= ( sK303_SY532 @ SV412 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6133]) ).
thf(6350,plain,
! [SV412: $i,SV1104: $i,SV1: $i,SV1140: $i] :
( ( ( in @ SV1140 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1104 @ SV1140 )
| ( in @ SV1104 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV412 @ ( sK303_SY532 @ SV412 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6134]) ).
thf(6351,plain,
! [SV530: $i,SV1177: $i,SV1: $i,SV1261: $i] :
( ( ( ~ ( in @ SV1261 @ SV1 )
| ~ ( in @ SV1177 @ SV1261 )
| ( in @ SV1177 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK316_SY597 @ SV530 @ SV1 ) @ ( sK200_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6135]) ).
thf(6352,plain,
! [SV530: $i,SV1178: $i,SV1: $i,SV1262: $i] :
( ( ( ~ ( in @ SV1262 @ SV1 )
| ~ ( in @ SV1178 @ SV1262 )
| ( in @ SV1178 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( SV530
= ( sK316_SY597 @ SV530 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6136]) ).
thf(6353,plain,
! [SV530: $i,SV1179: $i,SV1: $i,SV1263: $i] :
( ( ( ~ ( in @ SV1263 @ SV1 )
| ~ ( in @ SV1179 @ SV1263 )
| ( in @ SV1179 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV530 @ ( sK316_SY597 @ SV530 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6137]) ).
thf(6354,plain,
! [SV532: $i,SV1180: $i,SV1: $i,SV1264: $i] :
( ( ( ~ ( in @ SV1264 @ SV1 )
| ~ ( in @ SV1180 @ SV1264 )
| ( in @ SV1180 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK317_SY598 @ SV532 @ SV1 ) @ ( sK201_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6138]) ).
thf(6355,plain,
! [SV532: $i,SV1181: $i,SV1: $i,SV1265: $i] :
( ( ( ~ ( in @ SV1265 @ SV1 )
| ~ ( in @ SV1181 @ SV1265 )
| ( in @ SV1181 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( SV532
= ( sK317_SY598 @ SV532 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6139]) ).
thf(6356,plain,
! [SV532: $i,SV1182: $i,SV1: $i,SV1266: $i] :
( ( ( ~ ( in @ SV1266 @ SV1 )
| ~ ( in @ SV1182 @ SV1266 )
| ( in @ SV1182 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV532 @ ( sK317_SY598 @ SV532 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6140]) ).
thf(6357,plain,
! [SV616: $i,SV1267: $i,SV1: $i] :
( ( ( ! [SY989: $i] :
( ~ ( in @ SY989 @ SV1 )
| ~ ( in @ SV1267 @ SY989 )
| ( in @ SV1267 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK332_SY667 @ SV616 @ SV1 ) @ ( sK216_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6141]) ).
thf(6358,plain,
! [SV616: $i,SV1268: $i,SV1: $i] :
( ( ( ! [SY990: $i] :
( ~ ( in @ SY990 @ SV1 )
| ~ ( in @ SV1268 @ SY990 )
| ( in @ SV1268 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( SV616
= ( sK332_SY667 @ SV616 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6142]) ).
thf(6359,plain,
! [SV616: $i,SV1269: $i,SV1: $i] :
( ( ( ! [SY991: $i] :
( ~ ( in @ SY991 @ SV1 )
| ~ ( in @ SV1269 @ SY991 )
| ( in @ SV1269 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK332_SY667 @ SV616 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6143]) ).
thf(6360,plain,
! [SV618: $i,SV1270: $i,SV1: $i] :
( ( ( ! [SY992: $i] :
( ~ ( in @ SY992 @ SV1 )
| ~ ( in @ SV1270 @ SY992 )
| ( in @ SV1270 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK333_SY668 @ SV618 @ SV1 ) @ ( sK217_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6144]) ).
thf(6361,plain,
! [SV618: $i,SV1271: $i,SV1: $i] :
( ( ( ! [SY993: $i] :
( ~ ( in @ SY993 @ SV1 )
| ~ ( in @ SV1271 @ SY993 )
| ( in @ SV1271 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( SV618
= ( sK333_SY668 @ SV618 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6145]) ).
thf(6362,plain,
! [SV618: $i,SV1272: $i,SV1: $i] :
( ( ( ! [SY994: $i] :
( ~ ( in @ SY994 @ SV1 )
| ~ ( in @ SV1272 @ SY994 )
| ( in @ SV1272 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK333_SY668 @ SV618 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6146]) ).
thf(6363,plain,
! [SV620: $i,SV1273: $i,SV1: $i] :
( ( ( ! [SY995: $i] :
( ~ ( in @ SY995 @ SV1 )
| ~ ( in @ SV1273 @ SY995 )
| ( in @ SV1273 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK334_SY669 @ SV620 @ SV1 ) @ ( sK218_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6147]) ).
thf(6364,plain,
! [SV620: $i,SV1274: $i,SV1: $i] :
( ( ( ! [SY996: $i] :
( ~ ( in @ SY996 @ SV1 )
| ~ ( in @ SV1274 @ SY996 )
| ( in @ SV1274 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( SV620
= ( sK334_SY669 @ SV620 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6148]) ).
thf(6365,plain,
! [SV620: $i,SV1275: $i,SV1: $i] :
( ( ( ! [SY997: $i] :
( ~ ( in @ SY997 @ SV1 )
| ~ ( in @ SV1275 @ SY997 )
| ( in @ SV1275 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK334_SY669 @ SV620 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6149]) ).
thf(6366,plain,
! [SV622: $i,SV1276: $i,SV1: $i] :
( ( ( ! [SY998: $i] :
( ~ ( in @ SY998 @ SV1 )
| ~ ( in @ SV1276 @ SY998 )
| ( in @ SV1276 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK335_SY670 @ SV622 @ SV1 ) @ ( sK219_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6150]) ).
thf(6367,plain,
! [SV622: $i,SV1277: $i,SV1: $i] :
( ( ( ! [SY999: $i] :
( ~ ( in @ SY999 @ SV1 )
| ~ ( in @ SV1277 @ SY999 )
| ( in @ SV1277 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( SV622
= ( sK335_SY670 @ SV622 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6151]) ).
thf(6368,plain,
! [SV622: $i,SV1278: $i,SV1: $i] :
( ( ( ! [SY1000: $i] :
( ~ ( in @ SY1000 @ SV1 )
| ~ ( in @ SV1278 @ SY1000 )
| ( in @ SV1278 @ SV1 ) ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK335_SY670 @ SV622 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6152]) ).
thf(6369,plain,
! [SV538: $i,SV1183: $i,SV1: $i,SV1279: $i] :
( ( ( ~ ( in @ SV1279 @ SV1 )
| ~ ( in @ SV1183 @ SV1279 )
| ( in @ SV1183 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK318_SY603 @ SV538 @ SV1 ) @ ( sK202_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6153]) ).
thf(6370,plain,
! [SV538: $i,SV1184: $i,SV1: $i,SV1280: $i] :
( ( ( ~ ( in @ SV1280 @ SV1 )
| ~ ( in @ SV1184 @ SV1280 )
| ( in @ SV1184 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( SV538
= ( sK318_SY603 @ SV538 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6154]) ).
thf(6371,plain,
! [SV538: $i,SV1185: $i,SV1: $i,SV1281: $i] :
( ( ( ~ ( in @ SV1281 @ SV1 )
| ~ ( in @ SV1185 @ SV1281 )
| ( in @ SV1185 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK318_SY603 @ SV538 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6155]) ).
thf(6372,plain,
! [SV540: $i,SV1186: $i,SV1: $i,SV1282: $i] :
( ( ( ~ ( in @ SV1282 @ SV1 )
| ~ ( in @ SV1186 @ SV1282 )
| ( in @ SV1186 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK319_SY604 @ SV540 @ SV1 ) @ ( sK203_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6156]) ).
thf(6373,plain,
! [SV540: $i,SV1187: $i,SV1: $i,SV1283: $i] :
( ( ( ~ ( in @ SV1283 @ SV1 )
| ~ ( in @ SV1187 @ SV1283 )
| ( in @ SV1187 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( SV540
= ( sK319_SY604 @ SV540 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6157]) ).
thf(6374,plain,
! [SV540: $i,SV1188: $i,SV1: $i,SV1284: $i] :
( ( ( ~ ( in @ SV1284 @ SV1 )
| ~ ( in @ SV1188 @ SV1284 )
| ( in @ SV1188 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK319_SY604 @ SV540 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6158]) ).
thf(6375,plain,
! [SV298: $i,SV1: $i,SV1021: $i,SV937: $i] :
( ( ( in @ SV937 @ SV1021 )
= $false )
| ( ( in @ SV937 @ SV1 )
= $true )
| ( ( in @ SV1021 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK276_SY433 @ SV298 @ SV1 ) @ ( sK148_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6159]) ).
thf(6376,plain,
! [SV298: $i,SV1: $i,SV1022: $i,SV938: $i] :
( ( ( in @ SV938 @ SV1022 )
= $false )
| ( ( in @ SV938 @ SV1 )
= $true )
| ( ( in @ SV1022 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( SV298
= ( sK276_SY433 @ SV298 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6160]) ).
thf(6377,plain,
! [SV298: $i,SV1: $i,SV1023: $i,SV939: $i] :
( ( ( in @ SV939 @ SV1023 )
= $false )
| ( ( in @ SV939 @ SV1 )
= $true )
| ( ( in @ SV1023 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV298 @ ( sK148_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV298 @ ( sK276_SY433 @ SV298 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6161]) ).
thf(6378,plain,
! [SV300: $i,SV1: $i,SV1024: $i,SV940: $i] :
( ( ( in @ SV940 @ SV1024 )
= $false )
| ( ( in @ SV940 @ SV1 )
= $true )
| ( ( in @ SV1024 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK277_SY434 @ SV300 @ SV1 ) @ ( sK149_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6162]) ).
thf(6379,plain,
! [SV300: $i,SV1: $i,SV1025: $i,SV941: $i] :
( ( ( in @ SV941 @ SV1025 )
= $false )
| ( ( in @ SV941 @ SV1 )
= $true )
| ( ( in @ SV1025 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( SV300
= ( sK277_SY434 @ SV300 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6163]) ).
thf(6380,plain,
! [SV300: $i,SV1: $i,SV1026: $i,SV942: $i] :
( ( ( in @ SV942 @ SV1026 )
= $false )
| ( ( in @ SV942 @ SV1 )
= $true )
| ( ( in @ SV1026 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK82_SY7 @ SV1 ) @ ( sK82_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV300 @ ( sK149_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV300 @ ( sK277_SY434 @ SV300 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6164]) ).
thf(6381,plain,
! [SV364: $i,SV1: $i,SV1105: $i,SV1027: $i] :
( ( ( ~ ( in @ SV1027 @ SV1105 ) )
= $true )
| ( ( in @ SV1027 @ SV1 )
= $true )
| ( ( in @ SV1105 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK292_SY507 @ SV364 @ SV1 ) @ ( sK172_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6165]) ).
thf(6382,plain,
! [SV364: $i,SV1: $i,SV1106: $i,SV1028: $i] :
( ( ( ~ ( in @ SV1028 @ SV1106 ) )
= $true )
| ( ( in @ SV1028 @ SV1 )
= $true )
| ( ( in @ SV1106 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( SV364
= ( sK292_SY507 @ SV364 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6166]) ).
thf(6383,plain,
! [SV364: $i,SV1: $i,SV1107: $i,SV1029: $i] :
( ( ( ~ ( in @ SV1029 @ SV1107 ) )
= $true )
| ( ( in @ SV1029 @ SV1 )
= $true )
| ( ( in @ SV1107 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK292_SY507 @ SV364 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6167]) ).
thf(6384,plain,
! [SV366: $i,SV1: $i,SV1108: $i,SV1030: $i] :
( ( ( ~ ( in @ SV1030 @ SV1108 ) )
= $true )
| ( ( in @ SV1030 @ SV1 )
= $true )
| ( ( in @ SV1108 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK293_SY508 @ SV366 @ SV1 ) @ ( sK173_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6168]) ).
thf(6385,plain,
! [SV366: $i,SV1: $i,SV1109: $i,SV1031: $i] :
( ( ( ~ ( in @ SV1031 @ SV1109 ) )
= $true )
| ( ( in @ SV1031 @ SV1 )
= $true )
| ( ( in @ SV1109 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( SV366
= ( sK293_SY508 @ SV366 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6169]) ).
thf(6386,plain,
! [SV366: $i,SV1: $i,SV1110: $i,SV1032: $i] :
( ( ( ~ ( in @ SV1032 @ SV1110 ) )
= $true )
| ( ( in @ SV1032 @ SV1 )
= $true )
| ( ( in @ SV1110 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK293_SY508 @ SV366 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6170]) ).
thf(6387,plain,
! [SV368: $i,SV1: $i,SV1111: $i,SV1033: $i] :
( ( ( ~ ( in @ SV1033 @ SV1111 ) )
= $true )
| ( ( in @ SV1033 @ SV1 )
= $true )
| ( ( in @ SV1111 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK294_SY509 @ SV368 @ SV1 ) @ ( sK174_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6171]) ).
thf(6388,plain,
! [SV368: $i,SV1: $i,SV1112: $i,SV1034: $i] :
( ( ( ~ ( in @ SV1034 @ SV1112 ) )
= $true )
| ( ( in @ SV1034 @ SV1 )
= $true )
| ( ( in @ SV1112 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( SV368
= ( sK294_SY509 @ SV368 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6172]) ).
thf(6389,plain,
! [SV368: $i,SV1: $i,SV1113: $i,SV1035: $i] :
( ( ( ~ ( in @ SV1035 @ SV1113 ) )
= $true )
| ( ( in @ SV1035 @ SV1 )
= $true )
| ( ( in @ SV1113 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK294_SY509 @ SV368 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6173]) ).
thf(6390,plain,
! [SV370: $i,SV1: $i,SV1114: $i,SV1036: $i] :
( ( ( ~ ( in @ SV1036 @ SV1114 ) )
= $true )
| ( ( in @ SV1036 @ SV1 )
= $true )
| ( ( in @ SV1114 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK295_SY510 @ SV370 @ SV1 ) @ ( sK175_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6174]) ).
thf(6391,plain,
! [SV370: $i,SV1: $i,SV1115: $i,SV1037: $i] :
( ( ( ~ ( in @ SV1037 @ SV1115 ) )
= $true )
| ( ( in @ SV1037 @ SV1 )
= $true )
| ( ( in @ SV1115 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( SV370
= ( sK295_SY510 @ SV370 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6175]) ).
thf(6392,plain,
! [SV370: $i,SV1: $i,SV1116: $i,SV1038: $i] :
( ( ( ~ ( in @ SV1038 @ SV1116 ) )
= $true )
| ( ( in @ SV1038 @ SV1 )
= $true )
| ( ( in @ SV1116 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK295_SY510 @ SV370 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6176]) ).
thf(6393,plain,
! [SV306: $i,SV1: $i,SV1039: $i,SV943: $i] :
( ( ( in @ SV943 @ SV1039 )
= $false )
| ( ( in @ SV943 @ SV1 )
= $true )
| ( ( in @ SV1039 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK278_SY439 @ SV306 @ SV1 ) @ ( sK150_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6177]) ).
thf(6394,plain,
! [SV306: $i,SV1: $i,SV1040: $i,SV944: $i] :
( ( ( in @ SV944 @ SV1040 )
= $false )
| ( ( in @ SV944 @ SV1 )
= $true )
| ( ( in @ SV1040 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( SV306
= ( sK278_SY439 @ SV306 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6178]) ).
thf(6395,plain,
! [SV306: $i,SV1: $i,SV1041: $i,SV945: $i] :
( ( ( in @ SV945 @ SV1041 )
= $false )
| ( ( in @ SV945 @ SV1 )
= $true )
| ( ( in @ SV1041 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK150_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV306 @ ( sK278_SY439 @ SV306 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6179]) ).
thf(6396,plain,
! [SV308: $i,SV1: $i,SV1042: $i,SV946: $i] :
( ( ( in @ SV946 @ SV1042 )
= $false )
| ( ( in @ SV946 @ SV1 )
= $true )
| ( ( in @ SV1042 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK279_SY440 @ SV308 @ SV1 ) @ ( sK151_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6180]) ).
thf(6397,plain,
! [SV308: $i,SV1: $i,SV1043: $i,SV947: $i] :
( ( ( in @ SV947 @ SV1043 )
= $false )
| ( ( in @ SV947 @ SV1 )
= $true )
| ( ( in @ SV1043 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( SV308
= ( sK279_SY440 @ SV308 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6181]) ).
thf(6398,plain,
! [SV308: $i,SV1: $i,SV1044: $i,SV948: $i] :
( ( ( in @ SV948 @ SV1044 )
= $false )
| ( ( in @ SV948 @ SV1 )
= $true )
| ( ( in @ SV1044 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK83_SY7 @ SV1 ) @ ( sK83_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK35_SY36 @ SV1 ) @ ( sK25_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK151_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV308 @ ( sK279_SY440 @ SV308 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6182]) ).
thf(6399,plain,
! [SV316: $i,SV1: $i,SV1045: $i,SV955: $i] :
( ( ( in @ SV955 @ SV1045 )
= $false )
| ( ( in @ SV955 @ SV1 )
= $true )
| ( ( in @ SV1045 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK280_SY443 @ SV316 @ SV1 ) @ ( sK152_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6189]) ).
thf(6400,plain,
! [SV316: $i,SV1: $i,SV1046: $i,SV956: $i] :
( ( ( in @ SV956 @ SV1046 )
= $false )
| ( ( in @ SV956 @ SV1 )
= $true )
| ( ( in @ SV1046 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( SV316
= ( sK280_SY443 @ SV316 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6190]) ).
thf(6401,plain,
! [SV316: $i,SV1: $i,SV1047: $i,SV957: $i] :
( ( ( in @ SV957 @ SV1047 )
= $false )
| ( ( in @ SV957 @ SV1 )
= $true )
| ( ( in @ SV1047 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK152_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV316 @ ( sK280_SY443 @ SV316 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6191]) ).
thf(6402,plain,
! [SV318: $i,SV1: $i,SV1048: $i,SV958: $i] :
( ( ( in @ SV958 @ SV1048 )
= $false )
| ( ( in @ SV958 @ SV1 )
= $true )
| ( ( in @ SV1048 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK281_SY444 @ SV318 @ SV1 ) @ ( sK153_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6192]) ).
thf(6403,plain,
! [SV318: $i,SV1: $i,SV1049: $i,SV959: $i] :
( ( ( in @ SV959 @ SV1049 )
= $false )
| ( ( in @ SV959 @ SV1 )
= $true )
| ( ( in @ SV1049 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( SV318
= ( sK281_SY444 @ SV318 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6193]) ).
thf(6404,plain,
! [SV318: $i,SV1: $i,SV1050: $i,SV960: $i] :
( ( ( in @ SV960 @ SV1050 )
= $false )
| ( ( in @ SV960 @ SV1 )
= $true )
| ( ( in @ SV1050 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK88_SY7 @ SV1 ) @ ( sK88_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK20_SY5 @ SV1 )
= ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK153_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV318 @ ( sK281_SY444 @ SV318 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6194]) ).
thf(6405,plain,
! [SV320: $i,SV1: $i,SV1051: $i,SV961: $i] :
( ( ( in @ SV961 @ SV1051 )
= $false )
| ( ( in @ SV961 @ SV1 )
= $true )
| ( ( in @ SV1051 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK282_SY445 @ SV320 @ SV1 ) @ ( sK154_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6195]) ).
thf(6406,plain,
! [SV320: $i,SV1: $i,SV1052: $i,SV962: $i] :
( ( ( in @ SV962 @ SV1052 )
= $false )
| ( ( in @ SV962 @ SV1 )
= $true )
| ( ( in @ SV1052 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( SV320
= ( sK282_SY445 @ SV320 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6196]) ).
thf(6407,plain,
! [SV320: $i,SV1: $i,SV1053: $i,SV963: $i] :
( ( ( in @ SV963 @ SV1053 )
= $false )
| ( ( in @ SV963 @ SV1 )
= $true )
| ( ( in @ SV1053 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK154_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV320 @ ( sK282_SY445 @ SV320 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6197]) ).
thf(6408,plain,
! [SV322: $i,SV1: $i,SV1054: $i,SV964: $i] :
( ( ( in @ SV964 @ SV1054 )
= $false )
| ( ( in @ SV964 @ SV1 )
= $true )
| ( ( in @ SV1054 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK283_SY446 @ SV322 @ SV1 ) @ ( sK155_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6198]) ).
thf(6409,plain,
! [SV322: $i,SV1: $i,SV1055: $i,SV965: $i] :
( ( ( in @ SV965 @ SV1055 )
= $false )
| ( ( in @ SV965 @ SV1 )
= $true )
| ( ( in @ SV1055 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( SV322
= ( sK283_SY446 @ SV322 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6199]) ).
thf(6410,plain,
! [SV322: $i,SV1: $i,SV1056: $i,SV966: $i] :
( ( ( in @ SV966 @ SV1056 )
= $false )
| ( ( in @ SV966 @ SV1 )
= $true )
| ( ( in @ SV1056 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK89_SY7 @ SV1 ) @ ( sK89_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK11_SY27 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK20_SY5 @ SV1 ) @ ( sK29_SY33 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK155_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV322 @ ( sK283_SY446 @ SV322 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6200]) ).
thf(6411,plain,
! [SV382: $i,SV1: $i,SV1117: $i,SV1057: $i] :
( ( ( ~ ( in @ SV1057 @ SV1117 ) )
= $true )
| ( ( in @ SV1057 @ SV1 )
= $true )
| ( ( in @ SV1117 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK296_SY517 @ SV382 @ SV1 ) @ ( sK176_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6207]) ).
thf(6412,plain,
! [SV382: $i,SV1: $i,SV1118: $i,SV1058: $i] :
( ( ( ~ ( in @ SV1058 @ SV1118 ) )
= $true )
| ( ( in @ SV1058 @ SV1 )
= $true )
| ( ( in @ SV1118 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( SV382
= ( sK296_SY517 @ SV382 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6208]) ).
thf(6413,plain,
! [SV382: $i,SV1: $i,SV1119: $i,SV1059: $i] :
( ( ( ~ ( in @ SV1059 @ SV1119 ) )
= $true )
| ( ( in @ SV1059 @ SV1 )
= $true )
| ( ( in @ SV1119 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV382 @ ( sK296_SY517 @ SV382 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6209]) ).
thf(6414,plain,
! [SV384: $i,SV1: $i,SV1120: $i,SV1060: $i] :
( ( ( ~ ( in @ SV1060 @ SV1120 ) )
= $true )
| ( ( in @ SV1060 @ SV1 )
= $true )
| ( ( in @ SV1120 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK297_SY518 @ SV384 @ SV1 ) @ ( sK177_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6210]) ).
thf(6415,plain,
! [SV384: $i,SV1: $i,SV1121: $i,SV1061: $i] :
( ( ( ~ ( in @ SV1061 @ SV1121 ) )
= $true )
| ( ( in @ SV1061 @ SV1 )
= $true )
| ( ( in @ SV1121 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( SV384
= ( sK297_SY518 @ SV384 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6211]) ).
thf(6416,plain,
! [SV384: $i,SV1: $i,SV1122: $i,SV1062: $i] :
( ( ( ~ ( in @ SV1062 @ SV1122 ) )
= $true )
| ( ( in @ SV1062 @ SV1 )
= $true )
| ( ( in @ SV1122 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV384 @ ( sK297_SY518 @ SV384 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6212]) ).
thf(6417,plain,
! [SV482: $i,SV1141: $i,SV1: $i,SV1189: $i] :
( ( ( ~ ( in @ SV1189 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1141 @ SV1189 )
| ( in @ SV1141 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK304_SY573 @ SV482 @ SV1 ) @ ( sK186_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6213]) ).
thf(6418,plain,
! [SV482: $i,SV1142: $i,SV1: $i,SV1190: $i] :
( ( ( ~ ( in @ SV1190 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1142 @ SV1190 )
| ( in @ SV1142 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( SV482
= ( sK304_SY573 @ SV482 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6214]) ).
thf(6419,plain,
! [SV482: $i,SV1143: $i,SV1: $i,SV1191: $i] :
( ( ( ~ ( in @ SV1191 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1143 @ SV1191 )
| ( in @ SV1143 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV482 @ ( sK304_SY573 @ SV482 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6215]) ).
thf(6420,plain,
! [SV484: $i,SV1144: $i,SV1: $i,SV1192: $i] :
( ( ( ~ ( in @ SV1192 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1144 @ SV1192 )
| ( in @ SV1144 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK305_SY574 @ SV484 @ SV1 ) @ ( sK187_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6216]) ).
thf(6421,plain,
! [SV484: $i,SV1145: $i,SV1: $i,SV1193: $i] :
( ( ( ~ ( in @ SV1193 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1145 @ SV1193 )
| ( in @ SV1145 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( SV484
= ( sK305_SY574 @ SV484 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6217]) ).
thf(6422,plain,
! [SV484: $i,SV1146: $i,SV1: $i,SV1194: $i] :
( ( ( ~ ( in @ SV1194 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1146 @ SV1194 )
| ( in @ SV1146 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV484 @ ( sK305_SY574 @ SV484 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6218]) ).
thf(6423,plain,
! [SV562: $i,SV1195: $i,SV1: $i,SV1285: $i] :
( ( ( ~ ( in @ SV1285 @ SV1 )
| ~ ( in @ SV1195 @ SV1285 )
| ( in @ SV1195 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK320_SY625 @ SV562 @ SV1 ) @ ( sK204_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6219]) ).
thf(6424,plain,
! [SV562: $i,SV1196: $i,SV1: $i,SV1286: $i] :
( ( ( ~ ( in @ SV1286 @ SV1 )
| ~ ( in @ SV1196 @ SV1286 )
| ( in @ SV1196 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( SV562
= ( sK320_SY625 @ SV562 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6220]) ).
thf(6425,plain,
! [SV562: $i,SV1197: $i,SV1: $i,SV1287: $i] :
( ( ( ~ ( in @ SV1287 @ SV1 )
| ~ ( in @ SV1197 @ SV1287 )
| ( in @ SV1197 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK320_SY625 @ SV562 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6221]) ).
thf(6426,plain,
! [SV564: $i,SV1198: $i,SV1: $i,SV1288: $i] :
( ( ( ~ ( in @ SV1288 @ SV1 )
| ~ ( in @ SV1198 @ SV1288 )
| ( in @ SV1198 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK321_SY626 @ SV564 @ SV1 ) @ ( sK205_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6222]) ).
thf(6427,plain,
! [SV564: $i,SV1199: $i,SV1: $i,SV1289: $i] :
( ( ( ~ ( in @ SV1289 @ SV1 )
| ~ ( in @ SV1199 @ SV1289 )
| ( in @ SV1199 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( SV564
= ( sK321_SY626 @ SV564 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6223]) ).
thf(6428,plain,
! [SV564: $i,SV1200: $i,SV1: $i,SV1290: $i] :
( ( ( ~ ( in @ SV1290 @ SV1 )
| ~ ( in @ SV1200 @ SV1290 )
| ( in @ SV1200 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK321_SY626 @ SV564 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6224]) ).
thf(6429,plain,
! [SV566: $i,SV1201: $i,SV1: $i,SV1291: $i] :
( ( ( ~ ( in @ SV1291 @ SV1 )
| ~ ( in @ SV1201 @ SV1291 )
| ( in @ SV1201 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK322_SY627 @ SV566 @ SV1 ) @ ( sK206_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6225]) ).
thf(6430,plain,
! [SV566: $i,SV1202: $i,SV1: $i,SV1292: $i] :
( ( ( ~ ( in @ SV1292 @ SV1 )
| ~ ( in @ SV1202 @ SV1292 )
| ( in @ SV1202 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( SV566
= ( sK322_SY627 @ SV566 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6226]) ).
thf(6431,plain,
! [SV566: $i,SV1203: $i,SV1: $i,SV1293: $i] :
( ( ( ~ ( in @ SV1293 @ SV1 )
| ~ ( in @ SV1203 @ SV1293 )
| ( in @ SV1203 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK322_SY627 @ SV566 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6227]) ).
thf(6432,plain,
! [SV568: $i,SV1204: $i,SV1: $i,SV1294: $i] :
( ( ( ~ ( in @ SV1294 @ SV1 )
| ~ ( in @ SV1204 @ SV1294 )
| ( in @ SV1204 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK323_SY628 @ SV568 @ SV1 ) @ ( sK207_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6228]) ).
thf(6433,plain,
! [SV568: $i,SV1205: $i,SV1: $i,SV1295: $i] :
( ( ( ~ ( in @ SV1295 @ SV1 )
| ~ ( in @ SV1205 @ SV1295 )
| ( in @ SV1205 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( SV568
= ( sK323_SY628 @ SV568 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6229]) ).
thf(6434,plain,
! [SV568: $i,SV1206: $i,SV1: $i,SV1296: $i] :
( ( ( ~ ( in @ SV1296 @ SV1 )
| ~ ( in @ SV1206 @ SV1296 )
| ( in @ SV1206 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK323_SY628 @ SV568 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6230]) ).
thf(6435,plain,
! [SV490: $i,SV1147: $i,SV1: $i,SV1207: $i] :
( ( ( ~ ( in @ SV1207 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1147 @ SV1207 )
| ( in @ SV1147 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK306_SY579 @ SV490 @ SV1 ) @ ( sK188_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6231]) ).
thf(6436,plain,
! [SV490: $i,SV1148: $i,SV1: $i,SV1208: $i] :
( ( ( ~ ( in @ SV1208 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1148 @ SV1208 )
| ( in @ SV1148 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( SV490
= ( sK306_SY579 @ SV490 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6232]) ).
thf(6437,plain,
! [SV490: $i,SV1149: $i,SV1: $i,SV1209: $i] :
( ( ( ~ ( in @ SV1209 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1149 @ SV1209 )
| ( in @ SV1149 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK306_SY579 @ SV490 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6233]) ).
thf(6438,plain,
! [SV492: $i,SV1150: $i,SV1: $i,SV1210: $i] :
( ( ( ~ ( in @ SV1210 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1150 @ SV1210 )
| ( in @ SV1150 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK307_SY580 @ SV492 @ SV1 ) @ ( sK189_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6234]) ).
thf(6439,plain,
! [SV492: $i,SV1151: $i,SV1: $i,SV1211: $i] :
( ( ( ~ ( in @ SV1211 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1151 @ SV1211 )
| ( in @ SV1151 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( SV492
= ( sK307_SY580 @ SV492 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6235]) ).
thf(6440,plain,
! [SV492: $i,SV1152: $i,SV1: $i,SV1212: $i] :
( ( ( ~ ( in @ SV1212 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1152 @ SV1212 )
| ( in @ SV1152 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK307_SY580 @ SV492 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6236]) ).
thf(6441,plain,
! [SV386: $i,SV1: $i,SV1123: $i,SV1063: $i] :
( ( ( ~ ( in @ SV1063 @ SV1123 ) )
= $true )
| ( ( in @ SV1063 @ SV1 )
= $true )
| ( ( in @ SV1123 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK298_SY519 @ SV386 @ SV1 ) @ ( sK178_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6237]) ).
thf(6442,plain,
! [SV386: $i,SV1: $i,SV1124: $i,SV1064: $i] :
( ( ( ~ ( in @ SV1064 @ SV1124 ) )
= $true )
| ( ( in @ SV1064 @ SV1 )
= $true )
| ( ( in @ SV1124 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( SV386
= ( sK298_SY519 @ SV386 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6238]) ).
thf(6443,plain,
! [SV386: $i,SV1: $i,SV1125: $i,SV1065: $i] :
( ( ( ~ ( in @ SV1065 @ SV1125 ) )
= $true )
| ( ( in @ SV1065 @ SV1 )
= $true )
| ( ( in @ SV1125 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV386 @ ( sK298_SY519 @ SV386 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6239]) ).
thf(6444,plain,
! [SV388: $i,SV1: $i,SV1126: $i,SV1066: $i] :
( ( ( ~ ( in @ SV1066 @ SV1126 ) )
= $true )
| ( ( in @ SV1066 @ SV1 )
= $true )
| ( ( in @ SV1126 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK299_SY520 @ SV388 @ SV1 ) @ ( sK179_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6240]) ).
thf(6445,plain,
! [SV388: $i,SV1: $i,SV1127: $i,SV1067: $i] :
( ( ( ~ ( in @ SV1067 @ SV1127 ) )
= $true )
| ( ( in @ SV1067 @ SV1 )
= $true )
| ( ( in @ SV1127 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( SV388
= ( sK299_SY520 @ SV388 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6241]) ).
thf(6446,plain,
! [SV388: $i,SV1: $i,SV1128: $i,SV1068: $i] :
( ( ( ~ ( in @ SV1068 @ SV1128 ) )
= $true )
| ( ( in @ SV1068 @ SV1 )
= $true )
| ( ( in @ SV1128 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV388 @ ( sK299_SY520 @ SV388 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6242]) ).
thf(6447,plain,
! [SV496: $i,SV1153: $i,SV1: $i,SV1213: $i] :
( ( ( ~ ( in @ SV1213 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1153 @ SV1213 )
| ( in @ SV1153 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK308_SY581 @ SV496 @ SV1 ) @ ( sK190_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6243]) ).
thf(6448,plain,
! [SV496: $i,SV1154: $i,SV1: $i,SV1214: $i] :
( ( ( ~ ( in @ SV1214 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1154 @ SV1214 )
| ( in @ SV1154 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( SV496
= ( sK308_SY581 @ SV496 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6244]) ).
thf(6449,plain,
! [SV496: $i,SV1155: $i,SV1: $i,SV1215: $i] :
( ( ( ~ ( in @ SV1215 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1155 @ SV1215 )
| ( in @ SV1155 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV496 @ ( sK308_SY581 @ SV496 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6245]) ).
thf(6450,plain,
! [SV498: $i,SV1156: $i,SV1: $i,SV1216: $i] :
( ( ( ~ ( in @ SV1216 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1156 @ SV1216 )
| ( in @ SV1156 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK309_SY582 @ SV498 @ SV1 ) @ ( sK191_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6246]) ).
thf(6451,plain,
! [SV498: $i,SV1157: $i,SV1: $i,SV1217: $i] :
( ( ( ~ ( in @ SV1217 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1157 @ SV1217 )
| ( in @ SV1157 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( SV498
= ( sK309_SY582 @ SV498 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6247]) ).
thf(6452,plain,
! [SV498: $i,SV1158: $i,SV1: $i,SV1218: $i] :
( ( ( ~ ( in @ SV1218 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1158 @ SV1218 )
| ( in @ SV1158 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV498 @ ( sK309_SY582 @ SV498 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6248]) ).
thf(6453,plain,
! [SV574: $i,SV1219: $i,SV1: $i,SV1297: $i] :
( ( ( ~ ( in @ SV1297 @ SV1 )
| ~ ( in @ SV1219 @ SV1297 )
| ( in @ SV1219 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK324_SY633 @ SV574 @ SV1 ) @ ( sK208_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6249]) ).
thf(6454,plain,
! [SV574: $i,SV1220: $i,SV1: $i,SV1298: $i] :
( ( ( ~ ( in @ SV1298 @ SV1 )
| ~ ( in @ SV1220 @ SV1298 )
| ( in @ SV1220 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( SV574
= ( sK324_SY633 @ SV574 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6250]) ).
thf(6455,plain,
! [SV574: $i,SV1221: $i,SV1: $i,SV1299: $i] :
( ( ( ~ ( in @ SV1299 @ SV1 )
| ~ ( in @ SV1221 @ SV1299 )
| ( in @ SV1221 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK324_SY633 @ SV574 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6251]) ).
thf(6456,plain,
! [SV576: $i,SV1222: $i,SV1: $i,SV1300: $i] :
( ( ( ~ ( in @ SV1300 @ SV1 )
| ~ ( in @ SV1222 @ SV1300 )
| ( in @ SV1222 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK325_SY634 @ SV576 @ SV1 ) @ ( sK209_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6252]) ).
thf(6457,plain,
! [SV576: $i,SV1223: $i,SV1: $i,SV1301: $i] :
( ( ( ~ ( in @ SV1301 @ SV1 )
| ~ ( in @ SV1223 @ SV1301 )
| ( in @ SV1223 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( SV576
= ( sK325_SY634 @ SV576 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6253]) ).
thf(6458,plain,
! [SV576: $i,SV1224: $i,SV1: $i,SV1302: $i] :
( ( ( ~ ( in @ SV1302 @ SV1 )
| ~ ( in @ SV1224 @ SV1302 )
| ( in @ SV1224 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK325_SY634 @ SV576 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6254]) ).
thf(6459,plain,
! [SV578: $i,SV1225: $i,SV1: $i,SV1303: $i] :
( ( ( ~ ( in @ SV1303 @ SV1 )
| ~ ( in @ SV1225 @ SV1303 )
| ( in @ SV1225 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK326_SY635 @ SV578 @ SV1 ) @ ( sK210_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6255]) ).
thf(6460,plain,
! [SV578: $i,SV1226: $i,SV1: $i,SV1304: $i] :
( ( ( ~ ( in @ SV1304 @ SV1 )
| ~ ( in @ SV1226 @ SV1304 )
| ( in @ SV1226 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( SV578
= ( sK326_SY635 @ SV578 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6256]) ).
thf(6461,plain,
! [SV578: $i,SV1227: $i,SV1: $i,SV1305: $i] :
( ( ( ~ ( in @ SV1305 @ SV1 )
| ~ ( in @ SV1227 @ SV1305 )
| ( in @ SV1227 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK326_SY635 @ SV578 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6257]) ).
thf(6462,plain,
! [SV580: $i,SV1228: $i,SV1: $i,SV1306: $i] :
( ( ( ~ ( in @ SV1306 @ SV1 )
| ~ ( in @ SV1228 @ SV1306 )
| ( in @ SV1228 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK327_SY636 @ SV580 @ SV1 ) @ ( sK211_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6258]) ).
thf(6463,plain,
! [SV580: $i,SV1229: $i,SV1: $i,SV1307: $i] :
( ( ( ~ ( in @ SV1307 @ SV1 )
| ~ ( in @ SV1229 @ SV1307 )
| ( in @ SV1229 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( SV580
= ( sK327_SY636 @ SV580 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6259]) ).
thf(6464,plain,
! [SV580: $i,SV1230: $i,SV1: $i,SV1308: $i] :
( ( ( ~ ( in @ SV1308 @ SV1 )
| ~ ( in @ SV1230 @ SV1308 )
| ( in @ SV1230 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK327_SY636 @ SV580 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6260]) ).
thf(6465,plain,
! [SV504: $i,SV1159: $i,SV1: $i,SV1231: $i] :
( ( ( ~ ( in @ SV1231 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1159 @ SV1231 )
| ( in @ SV1159 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK310_SY587 @ SV504 @ SV1 ) @ ( sK192_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6261]) ).
thf(6466,plain,
! [SV504: $i,SV1160: $i,SV1: $i,SV1232: $i] :
( ( ( ~ ( in @ SV1232 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1160 @ SV1232 )
| ( in @ SV1160 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( SV504
= ( sK310_SY587 @ SV504 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6262]) ).
thf(6467,plain,
! [SV504: $i,SV1161: $i,SV1: $i,SV1233: $i] :
( ( ( ~ ( in @ SV1233 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1161 @ SV1233 )
| ( in @ SV1161 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK310_SY587 @ SV504 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6263]) ).
thf(6468,plain,
! [SV506: $i,SV1162: $i,SV1: $i,SV1234: $i] :
( ( ( ~ ( in @ SV1234 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1162 @ SV1234 )
| ( in @ SV1162 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK311_SY588 @ SV506 @ SV1 ) @ ( sK193_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6264]) ).
thf(6469,plain,
! [SV506: $i,SV1163: $i,SV1: $i,SV1235: $i] :
( ( ( ~ ( in @ SV1235 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1163 @ SV1235 )
| ( in @ SV1163 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( SV506
= ( sK311_SY588 @ SV506 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6265]) ).
thf(6470,plain,
! [SV506: $i,SV1164: $i,SV1: $i,SV1236: $i] :
( ( ( ~ ( in @ SV1236 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1164 @ SV1236 )
| ( in @ SV1164 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK311_SY588 @ SV506 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6266]) ).
thf(6471,plain,
! [SV332: $i,SV1: $i,SV1069: $i,SV979: $i] :
( ( ( in @ SV979 @ SV1069 )
= $false )
| ( ( in @ SV979 @ SV1 )
= $true )
| ( ( in @ SV1069 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK284_SY471 @ SV332 @ SV1 ) @ ( sK160_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6273]) ).
thf(6472,plain,
! [SV332: $i,SV1: $i,SV1070: $i,SV980: $i] :
( ( ( in @ SV980 @ SV1070 )
= $false )
| ( ( in @ SV980 @ SV1 )
= $true )
| ( ( in @ SV1070 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( SV332
= ( sK284_SY471 @ SV332 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6274]) ).
thf(6473,plain,
! [SV332: $i,SV1: $i,SV1071: $i,SV981: $i] :
( ( ( in @ SV981 @ SV1071 )
= $false )
| ( ( in @ SV981 @ SV1 )
= $true )
| ( ( in @ SV1071 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK160_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV332 @ ( sK284_SY471 @ SV332 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6275]) ).
thf(6474,plain,
! [SV334: $i,SV1: $i,SV1072: $i,SV982: $i] :
( ( ( in @ SV982 @ SV1072 )
= $false )
| ( ( in @ SV982 @ SV1 )
= $true )
| ( ( in @ SV1072 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK285_SY472 @ SV334 @ SV1 ) @ ( sK161_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6276]) ).
thf(6475,plain,
! [SV334: $i,SV1: $i,SV1073: $i,SV983: $i] :
( ( ( in @ SV983 @ SV1073 )
= $false )
| ( ( in @ SV983 @ SV1 )
= $true )
| ( ( in @ SV1073 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( SV334
= ( sK285_SY472 @ SV334 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6277]) ).
thf(6476,plain,
! [SV334: $i,SV1: $i,SV1074: $i,SV984: $i] :
( ( ( in @ SV984 @ SV1074 )
= $false )
| ( ( in @ SV984 @ SV1 )
= $true )
| ( ( in @ SV1074 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK90_SY7 @ SV1 ) @ ( sK90_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( ( sK21_SY5 @ SV1 )
= ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK161_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV334 @ ( sK285_SY472 @ SV334 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6278]) ).
thf(6477,plain,
! [SV336: $i,SV1: $i,SV1075: $i,SV985: $i] :
( ( ( in @ SV985 @ SV1075 )
= $false )
| ( ( in @ SV985 @ SV1 )
= $true )
| ( ( in @ SV1075 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK286_SY473 @ SV336 @ SV1 ) @ ( sK162_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6279]) ).
thf(6478,plain,
! [SV336: $i,SV1: $i,SV1076: $i,SV986: $i] :
( ( ( in @ SV986 @ SV1076 )
= $false )
| ( ( in @ SV986 @ SV1 )
= $true )
| ( ( in @ SV1076 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( SV336
= ( sK286_SY473 @ SV336 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6280]) ).
thf(6479,plain,
! [SV336: $i,SV1: $i,SV1077: $i,SV987: $i] :
( ( ( in @ SV987 @ SV1077 )
= $false )
| ( ( in @ SV987 @ SV1 )
= $true )
| ( ( in @ SV1077 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK162_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV336 @ ( sK286_SY473 @ SV336 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6281]) ).
thf(6480,plain,
! [SV338: $i,SV1: $i,SV1078: $i,SV988: $i] :
( ( ( in @ SV988 @ SV1078 )
= $false )
| ( ( in @ SV988 @ SV1 )
= $true )
| ( ( in @ SV1078 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK287_SY474 @ SV338 @ SV1 ) @ ( sK163_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6282]) ).
thf(6481,plain,
! [SV338: $i,SV1: $i,SV1079: $i,SV989: $i] :
( ( ( in @ SV989 @ SV1079 )
= $false )
| ( ( in @ SV989 @ SV1 )
= $true )
| ( ( in @ SV1079 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( SV338
= ( sK287_SY474 @ SV338 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6283]) ).
thf(6482,plain,
! [SV338: $i,SV1: $i,SV1080: $i,SV990: $i] :
( ( ( in @ SV990 @ SV1080 )
= $false )
| ( ( in @ SV990 @ SV1 )
= $true )
| ( ( in @ SV1080 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK91_SY7 @ SV1 ) @ ( sK91_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $false )
| ( ( in @ ( sK21_SY5 @ SV1 ) @ ( sK30_SY34 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK163_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV338 @ ( sK287_SY474 @ SV338 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6284]) ).
thf(6483,plain,
! [SV348: $i,SV1: $i,SV1081: $i,SV1003: $i] :
( ( ( in @ SV1003 @ SV1081 )
= $false )
| ( ( in @ SV1003 @ SV1 )
= $true )
| ( ( in @ SV1081 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK288_SY479 @ SV348 @ SV1 ) @ ( sK164_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6297]) ).
thf(6484,plain,
! [SV348: $i,SV1: $i,SV1082: $i,SV1004: $i] :
( ( ( in @ SV1004 @ SV1082 )
= $false )
| ( ( in @ SV1004 @ SV1 )
= $true )
| ( ( in @ SV1082 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( SV348
= ( sK288_SY479 @ SV348 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6298]) ).
thf(6485,plain,
! [SV348: $i,SV1: $i,SV1083: $i,SV1005: $i] :
( ( ( in @ SV1005 @ SV1083 )
= $false )
| ( ( in @ SV1005 @ SV1 )
= $true )
| ( ( in @ SV1083 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK164_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV348 @ ( sK288_SY479 @ SV348 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6299]) ).
thf(6486,plain,
! [SV350: $i,SV1: $i,SV1084: $i,SV1006: $i] :
( ( ( in @ SV1006 @ SV1084 )
= $false )
| ( ( in @ SV1006 @ SV1 )
= $true )
| ( ( in @ SV1084 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK289_SY480 @ SV350 @ SV1 ) @ ( sK165_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6300]) ).
thf(6487,plain,
! [SV350: $i,SV1: $i,SV1085: $i,SV1007: $i] :
( ( ( in @ SV1007 @ SV1085 )
= $false )
| ( ( in @ SV1007 @ SV1 )
= $true )
| ( ( in @ SV1085 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( SV350
= ( sK289_SY480 @ SV350 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6301]) ).
thf(6488,plain,
! [SV350: $i,SV1: $i,SV1086: $i,SV1008: $i] :
( ( ( in @ SV1008 @ SV1086 )
= $false )
| ( ( in @ SV1008 @ SV1 )
= $true )
| ( ( in @ SV1086 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK96_SY7 @ SV1 ) @ ( sK96_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( ( sK24_SY5 @ SV1 )
= ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK165_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV350 @ ( sK289_SY480 @ SV350 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6302]) ).
thf(6489,plain,
! [SV352: $i,SV1: $i,SV1087: $i,SV1009: $i] :
( ( ( in @ SV1009 @ SV1087 )
= $false )
| ( ( in @ SV1009 @ SV1 )
= $true )
| ( ( in @ SV1087 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK290_SY481 @ SV352 @ SV1 ) @ ( sK166_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6303]) ).
thf(6490,plain,
! [SV352: $i,SV1: $i,SV1088: $i,SV1010: $i] :
( ( ( in @ SV1010 @ SV1088 )
= $false )
| ( ( in @ SV1010 @ SV1 )
= $true )
| ( ( in @ SV1088 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( SV352
= ( sK290_SY481 @ SV352 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6304]) ).
thf(6491,plain,
! [SV352: $i,SV1: $i,SV1089: $i,SV1011: $i] :
( ( ( in @ SV1011 @ SV1089 )
= $false )
| ( ( in @ SV1011 @ SV1 )
= $true )
| ( ( in @ SV1089 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK166_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV352 @ ( sK290_SY481 @ SV352 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6305]) ).
thf(6492,plain,
! [SV354: $i,SV1: $i,SV1090: $i,SV1012: $i] :
( ( ( in @ SV1012 @ SV1090 )
= $false )
| ( ( in @ SV1012 @ SV1 )
= $true )
| ( ( in @ SV1090 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK291_SY482 @ SV354 @ SV1 ) @ ( sK167_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6306]) ).
thf(6493,plain,
! [SV354: $i,SV1: $i,SV1091: $i,SV1013: $i] :
( ( ( in @ SV1013 @ SV1091 )
= $false )
| ( ( in @ SV1013 @ SV1 )
= $true )
| ( ( in @ SV1091 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( SV354
= ( sK291_SY482 @ SV354 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6307]) ).
thf(6494,plain,
! [SV354: $i,SV1: $i,SV1092: $i,SV1014: $i] :
( ( ( in @ SV1014 @ SV1092 )
= $false )
| ( ( in @ SV1014 @ SV1 )
= $true )
| ( ( in @ SV1092 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK97_SY7 @ SV1 ) @ ( sK97_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK13_SY28 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK24_SY5 @ SV1 ) @ ( sK34_SY35 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK167_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV354 @ ( sK291_SY482 @ SV354 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6308]) ).
thf(6495,plain,
! [SV406: $i,SV1: $i,SV1129: $i,SV1093: $i] :
( ( ( ~ ( in @ SV1093 @ SV1129 ) )
= $true )
| ( ( in @ SV1093 @ SV1 )
= $true )
| ( ( in @ SV1129 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK300_SY529 @ SV406 @ SV1 ) @ ( sK180_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6315]) ).
thf(6496,plain,
! [SV406: $i,SV1: $i,SV1130: $i,SV1094: $i] :
( ( ( ~ ( in @ SV1094 @ SV1130 ) )
= $true )
| ( ( in @ SV1094 @ SV1 )
= $true )
| ( ( in @ SV1130 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( SV406
= ( sK300_SY529 @ SV406 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6316]) ).
thf(6497,plain,
! [SV406: $i,SV1: $i,SV1131: $i,SV1095: $i] :
( ( ( ~ ( in @ SV1095 @ SV1131 ) )
= $true )
| ( ( in @ SV1095 @ SV1 )
= $true )
| ( ( in @ SV1131 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV406 @ ( sK300_SY529 @ SV406 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6317]) ).
thf(6498,plain,
! [SV408: $i,SV1: $i,SV1132: $i,SV1096: $i] :
( ( ( ~ ( in @ SV1096 @ SV1132 ) )
= $true )
| ( ( in @ SV1096 @ SV1 )
= $true )
| ( ( in @ SV1132 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK301_SY530 @ SV408 @ SV1 ) @ ( sK181_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6318]) ).
thf(6499,plain,
! [SV408: $i,SV1: $i,SV1133: $i,SV1097: $i] :
( ( ( ~ ( in @ SV1097 @ SV1133 ) )
= $true )
| ( ( in @ SV1097 @ SV1 )
= $true )
| ( ( in @ SV1133 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( SV408
= ( sK301_SY530 @ SV408 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6319]) ).
thf(6500,plain,
! [SV408: $i,SV1: $i,SV1134: $i,SV1098: $i] :
( ( ( ~ ( in @ SV1098 @ SV1134 ) )
= $true )
| ( ( in @ SV1098 @ SV1 )
= $true )
| ( ( in @ SV1134 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV408 @ ( sK301_SY530 @ SV408 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6320]) ).
thf(6501,plain,
! [SV516: $i,SV1165: $i,SV1: $i,SV1237: $i] :
( ( ( ~ ( in @ SV1237 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1165 @ SV1237 )
| ( in @ SV1165 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK312_SY589 @ SV516 @ SV1 ) @ ( sK196_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6321]) ).
thf(6502,plain,
! [SV516: $i,SV1166: $i,SV1: $i,SV1238: $i] :
( ( ( ~ ( in @ SV1238 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1166 @ SV1238 )
| ( in @ SV1166 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( SV516
= ( sK312_SY589 @ SV516 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6322]) ).
thf(6503,plain,
! [SV516: $i,SV1167: $i,SV1: $i,SV1239: $i] :
( ( ( ~ ( in @ SV1239 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1167 @ SV1239 )
| ( in @ SV1167 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV516 @ ( sK312_SY589 @ SV516 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6323]) ).
thf(6504,plain,
! [SV518: $i,SV1168: $i,SV1: $i,SV1240: $i] :
( ( ( ~ ( in @ SV1240 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1168 @ SV1240 )
| ( in @ SV1168 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK313_SY590 @ SV518 @ SV1 ) @ ( sK197_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6324]) ).
thf(6505,plain,
! [SV518: $i,SV1169: $i,SV1: $i,SV1241: $i] :
( ( ( ~ ( in @ SV1241 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1169 @ SV1241 )
| ( in @ SV1169 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( SV518
= ( sK313_SY590 @ SV518 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6325]) ).
thf(6506,plain,
! [SV518: $i,SV1170: $i,SV1: $i,SV1242: $i] :
( ( ( ~ ( in @ SV1242 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1170 @ SV1242 )
| ( in @ SV1170 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV518 @ ( sK313_SY590 @ SV518 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6326]) ).
thf(6507,plain,
! [SV604: $i,SV1243: $i,SV1: $i,SV1309: $i] :
( ( ( ~ ( in @ SV1309 @ SV1 )
| ~ ( in @ SV1243 @ SV1309 )
| ( in @ SV1243 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK328_SY659 @ SV604 @ SV1 ) @ ( sK212_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6327]) ).
thf(6508,plain,
! [SV604: $i,SV1244: $i,SV1: $i,SV1310: $i] :
( ( ( ~ ( in @ SV1310 @ SV1 )
| ~ ( in @ SV1244 @ SV1310 )
| ( in @ SV1244 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( SV604
= ( sK328_SY659 @ SV604 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6328]) ).
thf(6509,plain,
! [SV604: $i,SV1245: $i,SV1: $i,SV1311: $i] :
( ( ( ~ ( in @ SV1311 @ SV1 )
| ~ ( in @ SV1245 @ SV1311 )
| ( in @ SV1245 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK328_SY659 @ SV604 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6329]) ).
thf(6510,plain,
! [SV606: $i,SV1246: $i,SV1: $i,SV1312: $i] :
( ( ( ~ ( in @ SV1312 @ SV1 )
| ~ ( in @ SV1246 @ SV1312 )
| ( in @ SV1246 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK329_SY660 @ SV606 @ SV1 ) @ ( sK213_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6330]) ).
thf(6511,plain,
! [SV606: $i,SV1247: $i,SV1: $i,SV1313: $i] :
( ( ( ~ ( in @ SV1313 @ SV1 )
| ~ ( in @ SV1247 @ SV1313 )
| ( in @ SV1247 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( SV606
= ( sK329_SY660 @ SV606 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6331]) ).
thf(6512,plain,
! [SV606: $i,SV1248: $i,SV1: $i,SV1314: $i] :
( ( ( ~ ( in @ SV1314 @ SV1 )
| ~ ( in @ SV1248 @ SV1314 )
| ( in @ SV1248 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK329_SY660 @ SV606 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6332]) ).
thf(6513,plain,
! [SV608: $i,SV1249: $i,SV1: $i,SV1315: $i] :
( ( ( ~ ( in @ SV1315 @ SV1 )
| ~ ( in @ SV1249 @ SV1315 )
| ( in @ SV1249 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK330_SY661 @ SV608 @ SV1 ) @ ( sK214_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6333]) ).
thf(6514,plain,
! [SV608: $i,SV1250: $i,SV1: $i,SV1316: $i] :
( ( ( ~ ( in @ SV1316 @ SV1 )
| ~ ( in @ SV1250 @ SV1316 )
| ( in @ SV1250 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( SV608
= ( sK330_SY661 @ SV608 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6334]) ).
thf(6515,plain,
! [SV608: $i,SV1251: $i,SV1: $i,SV1317: $i] :
( ( ( ~ ( in @ SV1317 @ SV1 )
| ~ ( in @ SV1251 @ SV1317 )
| ( in @ SV1251 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK330_SY661 @ SV608 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6335]) ).
thf(6516,plain,
! [SV610: $i,SV1252: $i,SV1: $i,SV1318: $i] :
( ( ( ~ ( in @ SV1318 @ SV1 )
| ~ ( in @ SV1252 @ SV1318 )
| ( in @ SV1252 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK331_SY662 @ SV610 @ SV1 ) @ ( sK215_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6336]) ).
thf(6517,plain,
! [SV610: $i,SV1253: $i,SV1: $i,SV1319: $i] :
( ( ( ~ ( in @ SV1319 @ SV1 )
| ~ ( in @ SV1253 @ SV1319 )
| ( in @ SV1253 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( SV610
= ( sK331_SY662 @ SV610 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6337]) ).
thf(6518,plain,
! [SV610: $i,SV1254: $i,SV1: $i,SV1320: $i] :
( ( ( ~ ( in @ SV1320 @ SV1 )
| ~ ( in @ SV1254 @ SV1320 )
| ( in @ SV1254 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK331_SY662 @ SV610 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6338]) ).
thf(6519,plain,
! [SV524: $i,SV1171: $i,SV1: $i,SV1255: $i] :
( ( ( ~ ( in @ SV1255 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1171 @ SV1255 )
| ( in @ SV1171 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK314_SY595 @ SV524 @ SV1 ) @ ( sK198_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6339]) ).
thf(6520,plain,
! [SV524: $i,SV1172: $i,SV1: $i,SV1256: $i] :
( ( ( ~ ( in @ SV1256 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1172 @ SV1256 )
| ( in @ SV1172 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( SV524
= ( sK314_SY595 @ SV524 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6340]) ).
thf(6521,plain,
! [SV524: $i,SV1173: $i,SV1: $i,SV1257: $i] :
( ( ( ~ ( in @ SV1257 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1173 @ SV1257 )
| ( in @ SV1173 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK314_SY595 @ SV524 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6341]) ).
thf(6522,plain,
! [SV526: $i,SV1174: $i,SV1: $i,SV1258: $i] :
( ( ( ~ ( in @ SV1258 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1174 @ SV1258 )
| ( in @ SV1174 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK315_SY596 @ SV526 @ SV1 ) @ ( sK199_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6342]) ).
thf(6523,plain,
! [SV526: $i,SV1175: $i,SV1: $i,SV1259: $i] :
( ( ( ~ ( in @ SV1259 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1175 @ SV1259 )
| ( in @ SV1175 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( SV526
= ( sK315_SY596 @ SV526 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6343]) ).
thf(6524,plain,
! [SV526: $i,SV1176: $i,SV1: $i,SV1260: $i] :
( ( ( ~ ( in @ SV1260 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1176 @ SV1260 )
| ( in @ SV1176 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK315_SY596 @ SV526 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6344]) ).
thf(6525,plain,
! [SV410: $i,SV1: $i,SV1135: $i,SV1099: $i] :
( ( ( ~ ( in @ SV1099 @ SV1135 ) )
= $true )
| ( ( in @ SV1099 @ SV1 )
= $true )
| ( ( in @ SV1135 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK302_SY531 @ SV410 @ SV1 ) @ ( sK182_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6345]) ).
thf(6526,plain,
! [SV410: $i,SV1: $i,SV1136: $i,SV1100: $i] :
( ( ( ~ ( in @ SV1100 @ SV1136 ) )
= $true )
| ( ( in @ SV1100 @ SV1 )
= $true )
| ( ( in @ SV1136 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( SV410
= ( sK302_SY531 @ SV410 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6346]) ).
thf(6527,plain,
! [SV410: $i,SV1: $i,SV1137: $i,SV1101: $i] :
( ( ( ~ ( in @ SV1101 @ SV1137 ) )
= $true )
| ( ( in @ SV1101 @ SV1 )
= $true )
| ( ( in @ SV1137 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV410 @ ( sK302_SY531 @ SV410 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6347]) ).
thf(6528,plain,
! [SV412: $i,SV1: $i,SV1138: $i,SV1102: $i] :
( ( ( ~ ( in @ SV1102 @ SV1138 ) )
= $true )
| ( ( in @ SV1102 @ SV1 )
= $true )
| ( ( in @ SV1138 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK303_SY532 @ SV412 @ SV1 ) @ ( sK183_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6348]) ).
thf(6529,plain,
! [SV412: $i,SV1: $i,SV1139: $i,SV1103: $i] :
( ( ( ~ ( in @ SV1103 @ SV1139 ) )
= $true )
| ( ( in @ SV1103 @ SV1 )
= $true )
| ( ( in @ SV1139 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( SV412
= ( sK303_SY532 @ SV412 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6349]) ).
thf(6530,plain,
! [SV412: $i,SV1: $i,SV1140: $i,SV1104: $i] :
( ( ( ~ ( in @ SV1104 @ SV1140 ) )
= $true )
| ( ( in @ SV1104 @ SV1 )
= $true )
| ( ( in @ SV1140 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV412 @ ( sK303_SY532 @ SV412 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6350]) ).
thf(6531,plain,
! [SV530: $i,SV1177: $i,SV1: $i,SV1261: $i] :
( ( ( ~ ( in @ SV1261 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1177 @ SV1261 )
| ( in @ SV1177 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK316_SY597 @ SV530 @ SV1 ) @ ( sK200_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6351]) ).
thf(6532,plain,
! [SV530: $i,SV1178: $i,SV1: $i,SV1262: $i] :
( ( ( ~ ( in @ SV1262 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1178 @ SV1262 )
| ( in @ SV1178 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( SV530
= ( sK316_SY597 @ SV530 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6352]) ).
thf(6533,plain,
! [SV530: $i,SV1179: $i,SV1: $i,SV1263: $i] :
( ( ( ~ ( in @ SV1263 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1179 @ SV1263 )
| ( in @ SV1179 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV530 @ ( sK316_SY597 @ SV530 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6353]) ).
thf(6534,plain,
! [SV532: $i,SV1180: $i,SV1: $i,SV1264: $i] :
( ( ( ~ ( in @ SV1264 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1180 @ SV1264 )
| ( in @ SV1180 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK317_SY598 @ SV532 @ SV1 ) @ ( sK201_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6354]) ).
thf(6535,plain,
! [SV532: $i,SV1181: $i,SV1: $i,SV1265: $i] :
( ( ( ~ ( in @ SV1265 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1181 @ SV1265 )
| ( in @ SV1181 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( SV532
= ( sK317_SY598 @ SV532 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6355]) ).
thf(6536,plain,
! [SV532: $i,SV1182: $i,SV1: $i,SV1266: $i] :
( ( ( ~ ( in @ SV1266 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1182 @ SV1266 )
| ( in @ SV1182 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV532 @ ( sK317_SY598 @ SV532 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6356]) ).
thf(6537,plain,
! [SV616: $i,SV1267: $i,SV1: $i,SV1321: $i] :
( ( ( ~ ( in @ SV1321 @ SV1 )
| ~ ( in @ SV1267 @ SV1321 )
| ( in @ SV1267 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK332_SY667 @ SV616 @ SV1 ) @ ( sK216_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6357]) ).
thf(6538,plain,
! [SV616: $i,SV1268: $i,SV1: $i,SV1322: $i] :
( ( ( ~ ( in @ SV1322 @ SV1 )
| ~ ( in @ SV1268 @ SV1322 )
| ( in @ SV1268 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( SV616
= ( sK332_SY667 @ SV616 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6358]) ).
thf(6539,plain,
! [SV616: $i,SV1269: $i,SV1: $i,SV1323: $i] :
( ( ( ~ ( in @ SV1323 @ SV1 )
| ~ ( in @ SV1269 @ SV1323 )
| ( in @ SV1269 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK332_SY667 @ SV616 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6359]) ).
thf(6540,plain,
! [SV618: $i,SV1270: $i,SV1: $i,SV1324: $i] :
( ( ( ~ ( in @ SV1324 @ SV1 )
| ~ ( in @ SV1270 @ SV1324 )
| ( in @ SV1270 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK333_SY668 @ SV618 @ SV1 ) @ ( sK217_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6360]) ).
thf(6541,plain,
! [SV618: $i,SV1271: $i,SV1: $i,SV1325: $i] :
( ( ( ~ ( in @ SV1325 @ SV1 )
| ~ ( in @ SV1271 @ SV1325 )
| ( in @ SV1271 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( SV618
= ( sK333_SY668 @ SV618 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6361]) ).
thf(6542,plain,
! [SV618: $i,SV1272: $i,SV1: $i,SV1326: $i] :
( ( ( ~ ( in @ SV1326 @ SV1 )
| ~ ( in @ SV1272 @ SV1326 )
| ( in @ SV1272 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK333_SY668 @ SV618 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6362]) ).
thf(6543,plain,
! [SV620: $i,SV1273: $i,SV1: $i,SV1327: $i] :
( ( ( ~ ( in @ SV1327 @ SV1 )
| ~ ( in @ SV1273 @ SV1327 )
| ( in @ SV1273 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK334_SY669 @ SV620 @ SV1 ) @ ( sK218_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6363]) ).
thf(6544,plain,
! [SV620: $i,SV1274: $i,SV1: $i,SV1328: $i] :
( ( ( ~ ( in @ SV1328 @ SV1 )
| ~ ( in @ SV1274 @ SV1328 )
| ( in @ SV1274 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( SV620
= ( sK334_SY669 @ SV620 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6364]) ).
thf(6545,plain,
! [SV620: $i,SV1275: $i,SV1: $i,SV1329: $i] :
( ( ( ~ ( in @ SV1329 @ SV1 )
| ~ ( in @ SV1275 @ SV1329 )
| ( in @ SV1275 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK334_SY669 @ SV620 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6365]) ).
thf(6546,plain,
! [SV622: $i,SV1276: $i,SV1: $i,SV1330: $i] :
( ( ( ~ ( in @ SV1330 @ SV1 )
| ~ ( in @ SV1276 @ SV1330 )
| ( in @ SV1276 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK335_SY670 @ SV622 @ SV1 ) @ ( sK219_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6366]) ).
thf(6547,plain,
! [SV622: $i,SV1277: $i,SV1: $i,SV1331: $i] :
( ( ( ~ ( in @ SV1331 @ SV1 )
| ~ ( in @ SV1277 @ SV1331 )
| ( in @ SV1277 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( SV622
= ( sK335_SY670 @ SV622 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6367]) ).
thf(6548,plain,
! [SV622: $i,SV1278: $i,SV1: $i,SV1332: $i] :
( ( ( ~ ( in @ SV1332 @ SV1 )
| ~ ( in @ SV1278 @ SV1332 )
| ( in @ SV1278 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK335_SY670 @ SV622 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6368]) ).
thf(6549,plain,
! [SV538: $i,SV1183: $i,SV1: $i,SV1279: $i] :
( ( ( ~ ( in @ SV1279 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1183 @ SV1279 )
| ( in @ SV1183 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK318_SY603 @ SV538 @ SV1 ) @ ( sK202_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6369]) ).
thf(6550,plain,
! [SV538: $i,SV1184: $i,SV1: $i,SV1280: $i] :
( ( ( ~ ( in @ SV1280 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1184 @ SV1280 )
| ( in @ SV1184 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( SV538
= ( sK318_SY603 @ SV538 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6370]) ).
thf(6551,plain,
! [SV538: $i,SV1185: $i,SV1: $i,SV1281: $i] :
( ( ( ~ ( in @ SV1281 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1185 @ SV1281 )
| ( in @ SV1185 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK318_SY603 @ SV538 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6371]) ).
thf(6552,plain,
! [SV540: $i,SV1186: $i,SV1: $i,SV1282: $i] :
( ( ( ~ ( in @ SV1282 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1186 @ SV1282 )
| ( in @ SV1186 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK319_SY604 @ SV540 @ SV1 ) @ ( sK203_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6372]) ).
thf(6553,plain,
! [SV540: $i,SV1187: $i,SV1: $i,SV1283: $i] :
( ( ( ~ ( in @ SV1283 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1187 @ SV1283 )
| ( in @ SV1187 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( SV540
= ( sK319_SY604 @ SV540 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6373]) ).
thf(6554,plain,
! [SV540: $i,SV1188: $i,SV1: $i,SV1284: $i] :
( ( ( ~ ( in @ SV1284 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1188 @ SV1284 )
| ( in @ SV1188 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK319_SY604 @ SV540 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6374]) ).
thf(6555,plain,
! [SV364: $i,SV1: $i,SV1105: $i,SV1027: $i] :
( ( ( in @ SV1027 @ SV1105 )
= $false )
| ( ( in @ SV1027 @ SV1 )
= $true )
| ( ( in @ SV1105 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK292_SY507 @ SV364 @ SV1 ) @ ( sK172_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6381]) ).
thf(6556,plain,
! [SV364: $i,SV1: $i,SV1106: $i,SV1028: $i] :
( ( ( in @ SV1028 @ SV1106 )
= $false )
| ( ( in @ SV1028 @ SV1 )
= $true )
| ( ( in @ SV1106 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( SV364
= ( sK292_SY507 @ SV364 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6382]) ).
thf(6557,plain,
! [SV364: $i,SV1: $i,SV1107: $i,SV1029: $i] :
( ( ( in @ SV1029 @ SV1107 )
= $false )
| ( ( in @ SV1029 @ SV1 )
= $true )
| ( ( in @ SV1107 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK172_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV364 @ ( sK292_SY507 @ SV364 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6383]) ).
thf(6558,plain,
! [SV366: $i,SV1: $i,SV1108: $i,SV1030: $i] :
( ( ( in @ SV1030 @ SV1108 )
= $false )
| ( ( in @ SV1030 @ SV1 )
= $true )
| ( ( in @ SV1108 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK293_SY508 @ SV366 @ SV1 ) @ ( sK173_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6384]) ).
thf(6559,plain,
! [SV366: $i,SV1: $i,SV1109: $i,SV1031: $i] :
( ( ( in @ SV1031 @ SV1109 )
= $false )
| ( ( in @ SV1031 @ SV1 )
= $true )
| ( ( in @ SV1109 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( SV366
= ( sK293_SY508 @ SV366 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6385]) ).
thf(6560,plain,
! [SV366: $i,SV1: $i,SV1110: $i,SV1032: $i] :
( ( ( in @ SV1032 @ SV1110 )
= $false )
| ( ( in @ SV1032 @ SV1 )
= $true )
| ( ( in @ SV1110 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK98_SY7 @ SV1 ) @ ( sK98_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( ( sK25_SY5 @ SV1 )
= ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK173_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV366 @ ( sK293_SY508 @ SV366 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6386]) ).
thf(6561,plain,
! [SV368: $i,SV1: $i,SV1111: $i,SV1033: $i] :
( ( ( in @ SV1033 @ SV1111 )
= $false )
| ( ( in @ SV1033 @ SV1 )
= $true )
| ( ( in @ SV1111 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK294_SY509 @ SV368 @ SV1 ) @ ( sK174_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6387]) ).
thf(6562,plain,
! [SV368: $i,SV1: $i,SV1112: $i,SV1034: $i] :
( ( ( in @ SV1034 @ SV1112 )
= $false )
| ( ( in @ SV1034 @ SV1 )
= $true )
| ( ( in @ SV1112 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( SV368
= ( sK294_SY509 @ SV368 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6388]) ).
thf(6563,plain,
! [SV368: $i,SV1: $i,SV1113: $i,SV1035: $i] :
( ( ( in @ SV1035 @ SV1113 )
= $false )
| ( ( in @ SV1035 @ SV1 )
= $true )
| ( ( in @ SV1113 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK174_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV368 @ ( sK294_SY509 @ SV368 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6389]) ).
thf(6564,plain,
! [SV370: $i,SV1: $i,SV1114: $i,SV1036: $i] :
( ( ( in @ SV1036 @ SV1114 )
= $false )
| ( ( in @ SV1036 @ SV1 )
= $true )
| ( ( in @ SV1114 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK295_SY510 @ SV370 @ SV1 ) @ ( sK175_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6390]) ).
thf(6565,plain,
! [SV370: $i,SV1: $i,SV1115: $i,SV1037: $i] :
( ( ( in @ SV1037 @ SV1115 )
= $false )
| ( ( in @ SV1037 @ SV1 )
= $true )
| ( ( in @ SV1115 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( SV370
= ( sK295_SY510 @ SV370 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6391]) ).
thf(6566,plain,
! [SV370: $i,SV1: $i,SV1116: $i,SV1038: $i] :
( ( ( in @ SV1038 @ SV1116 )
= $false )
| ( ( in @ SV1038 @ SV1 )
= $true )
| ( ( in @ SV1116 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK99_SY7 @ SV1 ) @ ( sK99_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $false )
| ( ( in @ ( sK25_SY5 @ SV1 ) @ ( sK35_SY36 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK175_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV370 @ ( sK295_SY510 @ SV370 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6392]) ).
thf(6567,plain,
! [SV382: $i,SV1: $i,SV1117: $i,SV1057: $i] :
( ( ( in @ SV1057 @ SV1117 )
= $false )
| ( ( in @ SV1057 @ SV1 )
= $true )
| ( ( in @ SV1117 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK296_SY517 @ SV382 @ SV1 ) @ ( sK176_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6411]) ).
thf(6568,plain,
! [SV382: $i,SV1: $i,SV1118: $i,SV1058: $i] :
( ( ( in @ SV1058 @ SV1118 )
= $false )
| ( ( in @ SV1058 @ SV1 )
= $true )
| ( ( in @ SV1118 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( SV382
= ( sK296_SY517 @ SV382 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6412]) ).
thf(6569,plain,
! [SV382: $i,SV1: $i,SV1119: $i,SV1059: $i] :
( ( ( in @ SV1059 @ SV1119 )
= $false )
| ( ( in @ SV1059 @ SV1 )
= $true )
| ( ( in @ SV1119 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV382 @ ( sK176_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV382 @ ( sK296_SY517 @ SV382 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6413]) ).
thf(6570,plain,
! [SV384: $i,SV1: $i,SV1120: $i,SV1060: $i] :
( ( ( in @ SV1060 @ SV1120 )
= $false )
| ( ( in @ SV1060 @ SV1 )
= $true )
| ( ( in @ SV1120 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK297_SY518 @ SV384 @ SV1 ) @ ( sK177_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6414]) ).
thf(6571,plain,
! [SV384: $i,SV1: $i,SV1121: $i,SV1061: $i] :
( ( ( in @ SV1061 @ SV1121 )
= $false )
| ( ( in @ SV1061 @ SV1 )
= $true )
| ( ( in @ SV1121 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( SV384
= ( sK297_SY518 @ SV384 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6415]) ).
thf(6572,plain,
! [SV384: $i,SV1: $i,SV1122: $i,SV1062: $i] :
( ( ( in @ SV1062 @ SV1122 )
= $false )
| ( ( in @ SV1062 @ SV1 )
= $true )
| ( ( in @ SV1122 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK106_SY7 @ SV1 ) @ ( sK106_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV384 @ ( sK177_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV384 @ ( sK297_SY518 @ SV384 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6416]) ).
thf(6573,plain,
! [SV482: $i,SV1141: $i,SV1: $i,SV1189: $i] :
( ( ( in @ SV1189 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1141 @ SV1189 )
| ( in @ SV1141 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK304_SY573 @ SV482 @ SV1 ) @ ( sK186_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6417]) ).
thf(6574,plain,
! [SV482: $i,SV1142: $i,SV1: $i,SV1190: $i] :
( ( ( in @ SV1190 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1142 @ SV1190 )
| ( in @ SV1142 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( SV482
= ( sK304_SY573 @ SV482 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6418]) ).
thf(6575,plain,
! [SV482: $i,SV1143: $i,SV1: $i,SV1191: $i] :
( ( ( in @ SV1191 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1143 @ SV1191 )
| ( in @ SV1143 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV482 @ ( sK304_SY573 @ SV482 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6419]) ).
thf(6576,plain,
! [SV484: $i,SV1144: $i,SV1: $i,SV1192: $i] :
( ( ( in @ SV1192 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1144 @ SV1192 )
| ( in @ SV1144 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK305_SY574 @ SV484 @ SV1 ) @ ( sK187_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6420]) ).
thf(6577,plain,
! [SV484: $i,SV1145: $i,SV1: $i,SV1193: $i] :
( ( ( in @ SV1193 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1145 @ SV1193 )
| ( in @ SV1145 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( SV484
= ( sK305_SY574 @ SV484 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6421]) ).
thf(6578,plain,
! [SV484: $i,SV1146: $i,SV1: $i,SV1194: $i] :
( ( ( in @ SV1194 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1146 @ SV1194 )
| ( in @ SV1146 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV484 @ ( sK305_SY574 @ SV484 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6422]) ).
thf(6579,plain,
! [SV562: $i,SV1195: $i,SV1: $i,SV1285: $i] :
( ( ( ~ ( in @ SV1285 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1195 @ SV1285 )
| ( in @ SV1195 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK320_SY625 @ SV562 @ SV1 ) @ ( sK204_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6423]) ).
thf(6580,plain,
! [SV562: $i,SV1196: $i,SV1: $i,SV1286: $i] :
( ( ( ~ ( in @ SV1286 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1196 @ SV1286 )
| ( in @ SV1196 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( SV562
= ( sK320_SY625 @ SV562 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6424]) ).
thf(6581,plain,
! [SV562: $i,SV1197: $i,SV1: $i,SV1287: $i] :
( ( ( ~ ( in @ SV1287 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1197 @ SV1287 )
| ( in @ SV1197 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK320_SY625 @ SV562 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6425]) ).
thf(6582,plain,
! [SV564: $i,SV1198: $i,SV1: $i,SV1288: $i] :
( ( ( ~ ( in @ SV1288 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1198 @ SV1288 )
| ( in @ SV1198 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK321_SY626 @ SV564 @ SV1 ) @ ( sK205_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6426]) ).
thf(6583,plain,
! [SV564: $i,SV1199: $i,SV1: $i,SV1289: $i] :
( ( ( ~ ( in @ SV1289 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1199 @ SV1289 )
| ( in @ SV1199 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( SV564
= ( sK321_SY626 @ SV564 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6427]) ).
thf(6584,plain,
! [SV564: $i,SV1200: $i,SV1: $i,SV1290: $i] :
( ( ( ~ ( in @ SV1290 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1200 @ SV1290 )
| ( in @ SV1200 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK321_SY626 @ SV564 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6428]) ).
thf(6585,plain,
! [SV566: $i,SV1201: $i,SV1: $i,SV1291: $i] :
( ( ( ~ ( in @ SV1291 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1201 @ SV1291 )
| ( in @ SV1201 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK322_SY627 @ SV566 @ SV1 ) @ ( sK206_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6429]) ).
thf(6586,plain,
! [SV566: $i,SV1202: $i,SV1: $i,SV1292: $i] :
( ( ( ~ ( in @ SV1292 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1202 @ SV1292 )
| ( in @ SV1202 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( SV566
= ( sK322_SY627 @ SV566 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6430]) ).
thf(6587,plain,
! [SV566: $i,SV1203: $i,SV1: $i,SV1293: $i] :
( ( ( ~ ( in @ SV1293 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1203 @ SV1293 )
| ( in @ SV1203 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK322_SY627 @ SV566 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6431]) ).
thf(6588,plain,
! [SV568: $i,SV1204: $i,SV1: $i,SV1294: $i] :
( ( ( ~ ( in @ SV1294 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1204 @ SV1294 )
| ( in @ SV1204 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK323_SY628 @ SV568 @ SV1 ) @ ( sK207_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6432]) ).
thf(6589,plain,
! [SV568: $i,SV1205: $i,SV1: $i,SV1295: $i] :
( ( ( ~ ( in @ SV1295 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1205 @ SV1295 )
| ( in @ SV1205 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( SV568
= ( sK323_SY628 @ SV568 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6433]) ).
thf(6590,plain,
! [SV568: $i,SV1206: $i,SV1: $i,SV1296: $i] :
( ( ( ~ ( in @ SV1296 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1206 @ SV1296 )
| ( in @ SV1206 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK323_SY628 @ SV568 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6434]) ).
thf(6591,plain,
! [SV490: $i,SV1147: $i,SV1: $i,SV1207: $i] :
( ( ( in @ SV1207 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1147 @ SV1207 )
| ( in @ SV1147 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK306_SY579 @ SV490 @ SV1 ) @ ( sK188_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6435]) ).
thf(6592,plain,
! [SV490: $i,SV1148: $i,SV1: $i,SV1208: $i] :
( ( ( in @ SV1208 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1148 @ SV1208 )
| ( in @ SV1148 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( SV490
= ( sK306_SY579 @ SV490 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6436]) ).
thf(6593,plain,
! [SV490: $i,SV1149: $i,SV1: $i,SV1209: $i] :
( ( ( in @ SV1209 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1149 @ SV1209 )
| ( in @ SV1149 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK306_SY579 @ SV490 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6437]) ).
thf(6594,plain,
! [SV492: $i,SV1150: $i,SV1: $i,SV1210: $i] :
( ( ( in @ SV1210 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1150 @ SV1210 )
| ( in @ SV1150 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK307_SY580 @ SV492 @ SV1 ) @ ( sK189_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6438]) ).
thf(6595,plain,
! [SV492: $i,SV1151: $i,SV1: $i,SV1211: $i] :
( ( ( in @ SV1211 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1151 @ SV1211 )
| ( in @ SV1151 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( SV492
= ( sK307_SY580 @ SV492 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6439]) ).
thf(6596,plain,
! [SV492: $i,SV1152: $i,SV1: $i,SV1212: $i] :
( ( ( in @ SV1212 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1152 @ SV1212 )
| ( in @ SV1152 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK307_SY580 @ SV492 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6440]) ).
thf(6597,plain,
! [SV386: $i,SV1: $i,SV1123: $i,SV1063: $i] :
( ( ( in @ SV1063 @ SV1123 )
= $false )
| ( ( in @ SV1063 @ SV1 )
= $true )
| ( ( in @ SV1123 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK298_SY519 @ SV386 @ SV1 ) @ ( sK178_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6441]) ).
thf(6598,plain,
! [SV386: $i,SV1: $i,SV1124: $i,SV1064: $i] :
( ( ( in @ SV1064 @ SV1124 )
= $false )
| ( ( in @ SV1064 @ SV1 )
= $true )
| ( ( in @ SV1124 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( SV386
= ( sK298_SY519 @ SV386 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6442]) ).
thf(6599,plain,
! [SV386: $i,SV1: $i,SV1125: $i,SV1065: $i] :
( ( ( in @ SV1065 @ SV1125 )
= $false )
| ( ( in @ SV1065 @ SV1 )
= $true )
| ( ( in @ SV1125 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV386 @ ( sK178_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV386 @ ( sK298_SY519 @ SV386 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6443]) ).
thf(6600,plain,
! [SV388: $i,SV1: $i,SV1126: $i,SV1066: $i] :
( ( ( in @ SV1066 @ SV1126 )
= $false )
| ( ( in @ SV1066 @ SV1 )
= $true )
| ( ( in @ SV1126 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK299_SY520 @ SV388 @ SV1 ) @ ( sK179_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6444]) ).
thf(6601,plain,
! [SV388: $i,SV1: $i,SV1127: $i,SV1067: $i] :
( ( ( in @ SV1067 @ SV1127 )
= $false )
| ( ( in @ SV1067 @ SV1 )
= $true )
| ( ( in @ SV1127 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( SV388
= ( sK299_SY520 @ SV388 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6445]) ).
thf(6602,plain,
! [SV388: $i,SV1: $i,SV1128: $i,SV1068: $i] :
( ( ( in @ SV1068 @ SV1128 )
= $false )
| ( ( in @ SV1068 @ SV1 )
= $true )
| ( ( in @ SV1128 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK107_SY7 @ SV1 ) @ ( sK107_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV388 @ ( sK179_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV388 @ ( sK299_SY520 @ SV388 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6446]) ).
thf(6603,plain,
! [SV496: $i,SV1153: $i,SV1: $i,SV1213: $i] :
( ( ( in @ SV1213 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1153 @ SV1213 )
| ( in @ SV1153 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK308_SY581 @ SV496 @ SV1 ) @ ( sK190_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6447]) ).
thf(6604,plain,
! [SV496: $i,SV1154: $i,SV1: $i,SV1214: $i] :
( ( ( in @ SV1214 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1154 @ SV1214 )
| ( in @ SV1154 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( SV496
= ( sK308_SY581 @ SV496 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6448]) ).
thf(6605,plain,
! [SV496: $i,SV1155: $i,SV1: $i,SV1215: $i] :
( ( ( in @ SV1215 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1155 @ SV1215 )
| ( in @ SV1155 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV496 @ ( sK308_SY581 @ SV496 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6449]) ).
thf(6606,plain,
! [SV498: $i,SV1156: $i,SV1: $i,SV1216: $i] :
( ( ( in @ SV1216 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1156 @ SV1216 )
| ( in @ SV1156 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK309_SY582 @ SV498 @ SV1 ) @ ( sK191_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6450]) ).
thf(6607,plain,
! [SV498: $i,SV1157: $i,SV1: $i,SV1217: $i] :
( ( ( in @ SV1217 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1157 @ SV1217 )
| ( in @ SV1157 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( SV498
= ( sK309_SY582 @ SV498 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6451]) ).
thf(6608,plain,
! [SV498: $i,SV1158: $i,SV1: $i,SV1218: $i] :
( ( ( in @ SV1218 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1158 @ SV1218 )
| ( in @ SV1158 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV498 @ ( sK309_SY582 @ SV498 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6452]) ).
thf(6609,plain,
! [SV574: $i,SV1219: $i,SV1: $i,SV1297: $i] :
( ( ( ~ ( in @ SV1297 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1219 @ SV1297 )
| ( in @ SV1219 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK324_SY633 @ SV574 @ SV1 ) @ ( sK208_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6453]) ).
thf(6610,plain,
! [SV574: $i,SV1220: $i,SV1: $i,SV1298: $i] :
( ( ( ~ ( in @ SV1298 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1220 @ SV1298 )
| ( in @ SV1220 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( SV574
= ( sK324_SY633 @ SV574 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6454]) ).
thf(6611,plain,
! [SV574: $i,SV1221: $i,SV1: $i,SV1299: $i] :
( ( ( ~ ( in @ SV1299 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1221 @ SV1299 )
| ( in @ SV1221 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK324_SY633 @ SV574 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6455]) ).
thf(6612,plain,
! [SV576: $i,SV1222: $i,SV1: $i,SV1300: $i] :
( ( ( ~ ( in @ SV1300 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1222 @ SV1300 )
| ( in @ SV1222 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK325_SY634 @ SV576 @ SV1 ) @ ( sK209_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6456]) ).
thf(6613,plain,
! [SV576: $i,SV1223: $i,SV1: $i,SV1301: $i] :
( ( ( ~ ( in @ SV1301 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1223 @ SV1301 )
| ( in @ SV1223 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( SV576
= ( sK325_SY634 @ SV576 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6457]) ).
thf(6614,plain,
! [SV576: $i,SV1224: $i,SV1: $i,SV1302: $i] :
( ( ( ~ ( in @ SV1302 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1224 @ SV1302 )
| ( in @ SV1224 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK325_SY634 @ SV576 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6458]) ).
thf(6615,plain,
! [SV578: $i,SV1225: $i,SV1: $i,SV1303: $i] :
( ( ( ~ ( in @ SV1303 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1225 @ SV1303 )
| ( in @ SV1225 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK326_SY635 @ SV578 @ SV1 ) @ ( sK210_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6459]) ).
thf(6616,plain,
! [SV578: $i,SV1226: $i,SV1: $i,SV1304: $i] :
( ( ( ~ ( in @ SV1304 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1226 @ SV1304 )
| ( in @ SV1226 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( SV578
= ( sK326_SY635 @ SV578 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6460]) ).
thf(6617,plain,
! [SV578: $i,SV1227: $i,SV1: $i,SV1305: $i] :
( ( ( ~ ( in @ SV1305 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1227 @ SV1305 )
| ( in @ SV1227 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK326_SY635 @ SV578 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6461]) ).
thf(6618,plain,
! [SV580: $i,SV1228: $i,SV1: $i,SV1306: $i] :
( ( ( ~ ( in @ SV1306 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1228 @ SV1306 )
| ( in @ SV1228 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK327_SY636 @ SV580 @ SV1 ) @ ( sK211_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6462]) ).
thf(6619,plain,
! [SV580: $i,SV1229: $i,SV1: $i,SV1307: $i] :
( ( ( ~ ( in @ SV1307 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1229 @ SV1307 )
| ( in @ SV1229 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( SV580
= ( sK327_SY636 @ SV580 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6463]) ).
thf(6620,plain,
! [SV580: $i,SV1230: $i,SV1: $i,SV1308: $i] :
( ( ( ~ ( in @ SV1308 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1230 @ SV1308 )
| ( in @ SV1230 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK327_SY636 @ SV580 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6464]) ).
thf(6621,plain,
! [SV504: $i,SV1159: $i,SV1: $i,SV1231: $i] :
( ( ( in @ SV1231 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1159 @ SV1231 )
| ( in @ SV1159 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK310_SY587 @ SV504 @ SV1 ) @ ( sK192_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6465]) ).
thf(6622,plain,
! [SV504: $i,SV1160: $i,SV1: $i,SV1232: $i] :
( ( ( in @ SV1232 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1160 @ SV1232 )
| ( in @ SV1160 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( SV504
= ( sK310_SY587 @ SV504 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6466]) ).
thf(6623,plain,
! [SV504: $i,SV1161: $i,SV1: $i,SV1233: $i] :
( ( ( in @ SV1233 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1161 @ SV1233 )
| ( in @ SV1161 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK310_SY587 @ SV504 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6467]) ).
thf(6624,plain,
! [SV506: $i,SV1162: $i,SV1: $i,SV1234: $i] :
( ( ( in @ SV1234 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1162 @ SV1234 )
| ( in @ SV1162 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK311_SY588 @ SV506 @ SV1 ) @ ( sK193_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6468]) ).
thf(6625,plain,
! [SV506: $i,SV1163: $i,SV1: $i,SV1235: $i] :
( ( ( in @ SV1235 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1163 @ SV1235 )
| ( in @ SV1163 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( SV506
= ( sK311_SY588 @ SV506 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6469]) ).
thf(6626,plain,
! [SV506: $i,SV1164: $i,SV1: $i,SV1236: $i] :
( ( ( in @ SV1236 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1164 @ SV1236 )
| ( in @ SV1164 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK311_SY588 @ SV506 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6470]) ).
thf(6627,plain,
! [SV406: $i,SV1: $i,SV1129: $i,SV1093: $i] :
( ( ( in @ SV1093 @ SV1129 )
= $false )
| ( ( in @ SV1093 @ SV1 )
= $true )
| ( ( in @ SV1129 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK300_SY529 @ SV406 @ SV1 ) @ ( sK180_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6495]) ).
thf(6628,plain,
! [SV406: $i,SV1: $i,SV1130: $i,SV1094: $i] :
( ( ( in @ SV1094 @ SV1130 )
= $false )
| ( ( in @ SV1094 @ SV1 )
= $true )
| ( ( in @ SV1130 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( SV406
= ( sK300_SY529 @ SV406 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6496]) ).
thf(6629,plain,
! [SV406: $i,SV1: $i,SV1131: $i,SV1095: $i] :
( ( ( in @ SV1095 @ SV1131 )
= $false )
| ( ( in @ SV1095 @ SV1 )
= $true )
| ( ( in @ SV1131 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV406 @ ( sK180_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV406 @ ( sK300_SY529 @ SV406 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6497]) ).
thf(6630,plain,
! [SV408: $i,SV1: $i,SV1132: $i,SV1096: $i] :
( ( ( in @ SV1096 @ SV1132 )
= $false )
| ( ( in @ SV1096 @ SV1 )
= $true )
| ( ( in @ SV1132 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK301_SY530 @ SV408 @ SV1 ) @ ( sK181_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6498]) ).
thf(6631,plain,
! [SV408: $i,SV1: $i,SV1133: $i,SV1097: $i] :
( ( ( in @ SV1097 @ SV1133 )
= $false )
| ( ( in @ SV1097 @ SV1 )
= $true )
| ( ( in @ SV1133 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( SV408
= ( sK301_SY530 @ SV408 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6499]) ).
thf(6632,plain,
! [SV408: $i,SV1: $i,SV1134: $i,SV1098: $i] :
( ( ( in @ SV1098 @ SV1134 )
= $false )
| ( ( in @ SV1098 @ SV1 )
= $true )
| ( ( in @ SV1134 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK116_SY7 @ SV1 ) @ ( sK116_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV408 @ ( sK181_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV408 @ ( sK301_SY530 @ SV408 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6500]) ).
thf(6633,plain,
! [SV516: $i,SV1165: $i,SV1: $i,SV1237: $i] :
( ( ( in @ SV1237 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1165 @ SV1237 )
| ( in @ SV1165 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK312_SY589 @ SV516 @ SV1 ) @ ( sK196_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6501]) ).
thf(6634,plain,
! [SV516: $i,SV1166: $i,SV1: $i,SV1238: $i] :
( ( ( in @ SV1238 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1166 @ SV1238 )
| ( in @ SV1166 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( SV516
= ( sK312_SY589 @ SV516 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6502]) ).
thf(6635,plain,
! [SV516: $i,SV1167: $i,SV1: $i,SV1239: $i] :
( ( ( in @ SV1239 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1167 @ SV1239 )
| ( in @ SV1167 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV516 @ ( sK312_SY589 @ SV516 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6503]) ).
thf(6636,plain,
! [SV518: $i,SV1168: $i,SV1: $i,SV1240: $i] :
( ( ( in @ SV1240 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1168 @ SV1240 )
| ( in @ SV1168 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK313_SY590 @ SV518 @ SV1 ) @ ( sK197_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6504]) ).
thf(6637,plain,
! [SV518: $i,SV1169: $i,SV1: $i,SV1241: $i] :
( ( ( in @ SV1241 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1169 @ SV1241 )
| ( in @ SV1169 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( SV518
= ( sK313_SY590 @ SV518 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6505]) ).
thf(6638,plain,
! [SV518: $i,SV1170: $i,SV1: $i,SV1242: $i] :
( ( ( in @ SV1242 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1170 @ SV1242 )
| ( in @ SV1170 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV518 @ ( sK313_SY590 @ SV518 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6506]) ).
thf(6639,plain,
! [SV604: $i,SV1243: $i,SV1: $i,SV1309: $i] :
( ( ( ~ ( in @ SV1309 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1243 @ SV1309 )
| ( in @ SV1243 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK328_SY659 @ SV604 @ SV1 ) @ ( sK212_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6507]) ).
thf(6640,plain,
! [SV604: $i,SV1244: $i,SV1: $i,SV1310: $i] :
( ( ( ~ ( in @ SV1310 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1244 @ SV1310 )
| ( in @ SV1244 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( SV604
= ( sK328_SY659 @ SV604 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6508]) ).
thf(6641,plain,
! [SV604: $i,SV1245: $i,SV1: $i,SV1311: $i] :
( ( ( ~ ( in @ SV1311 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1245 @ SV1311 )
| ( in @ SV1245 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK328_SY659 @ SV604 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6509]) ).
thf(6642,plain,
! [SV606: $i,SV1246: $i,SV1: $i,SV1312: $i] :
( ( ( ~ ( in @ SV1312 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1246 @ SV1312 )
| ( in @ SV1246 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK329_SY660 @ SV606 @ SV1 ) @ ( sK213_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6510]) ).
thf(6643,plain,
! [SV606: $i,SV1247: $i,SV1: $i,SV1313: $i] :
( ( ( ~ ( in @ SV1313 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1247 @ SV1313 )
| ( in @ SV1247 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( SV606
= ( sK329_SY660 @ SV606 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6511]) ).
thf(6644,plain,
! [SV606: $i,SV1248: $i,SV1: $i,SV1314: $i] :
( ( ( ~ ( in @ SV1314 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1248 @ SV1314 )
| ( in @ SV1248 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK329_SY660 @ SV606 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6512]) ).
thf(6645,plain,
! [SV608: $i,SV1249: $i,SV1: $i,SV1315: $i] :
( ( ( ~ ( in @ SV1315 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1249 @ SV1315 )
| ( in @ SV1249 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK330_SY661 @ SV608 @ SV1 ) @ ( sK214_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6513]) ).
thf(6646,plain,
! [SV608: $i,SV1250: $i,SV1: $i,SV1316: $i] :
( ( ( ~ ( in @ SV1316 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1250 @ SV1316 )
| ( in @ SV1250 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( SV608
= ( sK330_SY661 @ SV608 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6514]) ).
thf(6647,plain,
! [SV608: $i,SV1251: $i,SV1: $i,SV1317: $i] :
( ( ( ~ ( in @ SV1317 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1251 @ SV1317 )
| ( in @ SV1251 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK330_SY661 @ SV608 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6515]) ).
thf(6648,plain,
! [SV610: $i,SV1252: $i,SV1: $i,SV1318: $i] :
( ( ( ~ ( in @ SV1318 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1252 @ SV1318 )
| ( in @ SV1252 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK331_SY662 @ SV610 @ SV1 ) @ ( sK215_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6516]) ).
thf(6649,plain,
! [SV610: $i,SV1253: $i,SV1: $i,SV1319: $i] :
( ( ( ~ ( in @ SV1319 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1253 @ SV1319 )
| ( in @ SV1253 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( SV610
= ( sK331_SY662 @ SV610 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6517]) ).
thf(6650,plain,
! [SV610: $i,SV1254: $i,SV1: $i,SV1320: $i] :
( ( ( ~ ( in @ SV1320 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1254 @ SV1320 )
| ( in @ SV1254 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK331_SY662 @ SV610 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6518]) ).
thf(6651,plain,
! [SV524: $i,SV1171: $i,SV1: $i,SV1255: $i] :
( ( ( in @ SV1255 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1171 @ SV1255 )
| ( in @ SV1171 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK314_SY595 @ SV524 @ SV1 ) @ ( sK198_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6519]) ).
thf(6652,plain,
! [SV524: $i,SV1172: $i,SV1: $i,SV1256: $i] :
( ( ( in @ SV1256 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1172 @ SV1256 )
| ( in @ SV1172 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( SV524
= ( sK314_SY595 @ SV524 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6520]) ).
thf(6653,plain,
! [SV524: $i,SV1173: $i,SV1: $i,SV1257: $i] :
( ( ( in @ SV1257 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1173 @ SV1257 )
| ( in @ SV1173 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK314_SY595 @ SV524 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6521]) ).
thf(6654,plain,
! [SV526: $i,SV1174: $i,SV1: $i,SV1258: $i] :
( ( ( in @ SV1258 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1174 @ SV1258 )
| ( in @ SV1174 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK315_SY596 @ SV526 @ SV1 ) @ ( sK199_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6522]) ).
thf(6655,plain,
! [SV526: $i,SV1175: $i,SV1: $i,SV1259: $i] :
( ( ( in @ SV1259 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1175 @ SV1259 )
| ( in @ SV1175 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( SV526
= ( sK315_SY596 @ SV526 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6523]) ).
thf(6656,plain,
! [SV526: $i,SV1176: $i,SV1: $i,SV1260: $i] :
( ( ( in @ SV1260 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1176 @ SV1260 )
| ( in @ SV1176 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK315_SY596 @ SV526 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6524]) ).
thf(6657,plain,
! [SV410: $i,SV1: $i,SV1135: $i,SV1099: $i] :
( ( ( in @ SV1099 @ SV1135 )
= $false )
| ( ( in @ SV1099 @ SV1 )
= $true )
| ( ( in @ SV1135 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK302_SY531 @ SV410 @ SV1 ) @ ( sK182_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6525]) ).
thf(6658,plain,
! [SV410: $i,SV1: $i,SV1136: $i,SV1100: $i] :
( ( ( in @ SV1100 @ SV1136 )
= $false )
| ( ( in @ SV1100 @ SV1 )
= $true )
| ( ( in @ SV1136 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( SV410
= ( sK302_SY531 @ SV410 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6526]) ).
thf(6659,plain,
! [SV410: $i,SV1: $i,SV1137: $i,SV1101: $i] :
( ( ( in @ SV1101 @ SV1137 )
= $false )
| ( ( in @ SV1101 @ SV1 )
= $true )
| ( ( in @ SV1137 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV410 @ ( sK182_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV410 @ ( sK302_SY531 @ SV410 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6527]) ).
thf(6660,plain,
! [SV412: $i,SV1: $i,SV1138: $i,SV1102: $i] :
( ( ( in @ SV1102 @ SV1138 )
= $false )
| ( ( in @ SV1102 @ SV1 )
= $true )
| ( ( in @ SV1138 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK303_SY532 @ SV412 @ SV1 ) @ ( sK183_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6528]) ).
thf(6661,plain,
! [SV412: $i,SV1: $i,SV1139: $i,SV1103: $i] :
( ( ( in @ SV1103 @ SV1139 )
= $false )
| ( ( in @ SV1103 @ SV1 )
= $true )
| ( ( in @ SV1139 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( SV412
= ( sK303_SY532 @ SV412 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6529]) ).
thf(6662,plain,
! [SV412: $i,SV1: $i,SV1140: $i,SV1104: $i] :
( ( ( in @ SV1104 @ SV1140 )
= $false )
| ( ( in @ SV1104 @ SV1 )
= $true )
| ( ( in @ SV1140 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK117_SY7 @ SV1 ) @ ( sK117_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV412 @ ( sK183_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV412 @ ( sK303_SY532 @ SV412 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6530]) ).
thf(6663,plain,
! [SV530: $i,SV1177: $i,SV1: $i,SV1261: $i] :
( ( ( in @ SV1261 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1177 @ SV1261 )
| ( in @ SV1177 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK316_SY597 @ SV530 @ SV1 ) @ ( sK200_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6531]) ).
thf(6664,plain,
! [SV530: $i,SV1178: $i,SV1: $i,SV1262: $i] :
( ( ( in @ SV1262 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1178 @ SV1262 )
| ( in @ SV1178 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( SV530
= ( sK316_SY597 @ SV530 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6532]) ).
thf(6665,plain,
! [SV530: $i,SV1179: $i,SV1: $i,SV1263: $i] :
( ( ( in @ SV1263 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1179 @ SV1263 )
| ( in @ SV1179 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV530 @ ( sK316_SY597 @ SV530 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6533]) ).
thf(6666,plain,
! [SV532: $i,SV1180: $i,SV1: $i,SV1264: $i] :
( ( ( in @ SV1264 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1180 @ SV1264 )
| ( in @ SV1180 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK317_SY598 @ SV532 @ SV1 ) @ ( sK201_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6534]) ).
thf(6667,plain,
! [SV532: $i,SV1181: $i,SV1: $i,SV1265: $i] :
( ( ( in @ SV1265 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1181 @ SV1265 )
| ( in @ SV1181 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( SV532
= ( sK317_SY598 @ SV532 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6535]) ).
thf(6668,plain,
! [SV532: $i,SV1182: $i,SV1: $i,SV1266: $i] :
( ( ( in @ SV1266 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1182 @ SV1266 )
| ( in @ SV1182 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV532 @ ( sK317_SY598 @ SV532 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6536]) ).
thf(6669,plain,
! [SV616: $i,SV1267: $i,SV1: $i,SV1321: $i] :
( ( ( ~ ( in @ SV1321 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1267 @ SV1321 )
| ( in @ SV1267 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK332_SY667 @ SV616 @ SV1 ) @ ( sK216_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6537]) ).
thf(6670,plain,
! [SV616: $i,SV1268: $i,SV1: $i,SV1322: $i] :
( ( ( ~ ( in @ SV1322 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1268 @ SV1322 )
| ( in @ SV1268 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( SV616
= ( sK332_SY667 @ SV616 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6538]) ).
thf(6671,plain,
! [SV616: $i,SV1269: $i,SV1: $i,SV1323: $i] :
( ( ( ~ ( in @ SV1323 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1269 @ SV1323 )
| ( in @ SV1269 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK332_SY667 @ SV616 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6539]) ).
thf(6672,plain,
! [SV618: $i,SV1270: $i,SV1: $i,SV1324: $i] :
( ( ( ~ ( in @ SV1324 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1270 @ SV1324 )
| ( in @ SV1270 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK333_SY668 @ SV618 @ SV1 ) @ ( sK217_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6540]) ).
thf(6673,plain,
! [SV618: $i,SV1271: $i,SV1: $i,SV1325: $i] :
( ( ( ~ ( in @ SV1325 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1271 @ SV1325 )
| ( in @ SV1271 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( SV618
= ( sK333_SY668 @ SV618 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6541]) ).
thf(6674,plain,
! [SV618: $i,SV1272: $i,SV1: $i,SV1326: $i] :
( ( ( ~ ( in @ SV1326 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1272 @ SV1326 )
| ( in @ SV1272 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK333_SY668 @ SV618 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6542]) ).
thf(6675,plain,
! [SV620: $i,SV1273: $i,SV1: $i,SV1327: $i] :
( ( ( ~ ( in @ SV1327 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1273 @ SV1327 )
| ( in @ SV1273 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK334_SY669 @ SV620 @ SV1 ) @ ( sK218_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6543]) ).
thf(6676,plain,
! [SV620: $i,SV1274: $i,SV1: $i,SV1328: $i] :
( ( ( ~ ( in @ SV1328 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1274 @ SV1328 )
| ( in @ SV1274 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( SV620
= ( sK334_SY669 @ SV620 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6544]) ).
thf(6677,plain,
! [SV620: $i,SV1275: $i,SV1: $i,SV1329: $i] :
( ( ( ~ ( in @ SV1329 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1275 @ SV1329 )
| ( in @ SV1275 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK334_SY669 @ SV620 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6545]) ).
thf(6678,plain,
! [SV622: $i,SV1276: $i,SV1: $i,SV1330: $i] :
( ( ( ~ ( in @ SV1330 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1276 @ SV1330 )
| ( in @ SV1276 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK335_SY670 @ SV622 @ SV1 ) @ ( sK219_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6546]) ).
thf(6679,plain,
! [SV622: $i,SV1277: $i,SV1: $i,SV1331: $i] :
( ( ( ~ ( in @ SV1331 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1277 @ SV1331 )
| ( in @ SV1277 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( SV622
= ( sK335_SY670 @ SV622 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6547]) ).
thf(6680,plain,
! [SV622: $i,SV1278: $i,SV1: $i,SV1332: $i] :
( ( ( ~ ( in @ SV1332 @ SV1 ) )
= $true )
| ( ( ~ ( in @ SV1278 @ SV1332 )
| ( in @ SV1278 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK335_SY670 @ SV622 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6548]) ).
thf(6681,plain,
! [SV538: $i,SV1183: $i,SV1: $i,SV1279: $i] :
( ( ( in @ SV1279 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1183 @ SV1279 )
| ( in @ SV1183 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK318_SY603 @ SV538 @ SV1 ) @ ( sK202_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6549]) ).
thf(6682,plain,
! [SV538: $i,SV1184: $i,SV1: $i,SV1280: $i] :
( ( ( in @ SV1280 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1184 @ SV1280 )
| ( in @ SV1184 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( SV538
= ( sK318_SY603 @ SV538 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6550]) ).
thf(6683,plain,
! [SV538: $i,SV1185: $i,SV1: $i,SV1281: $i] :
( ( ( in @ SV1281 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1185 @ SV1281 )
| ( in @ SV1185 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK318_SY603 @ SV538 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6551]) ).
thf(6684,plain,
! [SV540: $i,SV1186: $i,SV1: $i,SV1282: $i] :
( ( ( in @ SV1282 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1186 @ SV1282 )
| ( in @ SV1186 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK319_SY604 @ SV540 @ SV1 ) @ ( sK203_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6552]) ).
thf(6685,plain,
! [SV540: $i,SV1187: $i,SV1: $i,SV1283: $i] :
( ( ( in @ SV1283 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1187 @ SV1283 )
| ( in @ SV1187 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( SV540
= ( sK319_SY604 @ SV540 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6553]) ).
thf(6686,plain,
! [SV540: $i,SV1188: $i,SV1: $i,SV1284: $i] :
( ( ( in @ SV1284 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1188 @ SV1284 )
| ( in @ SV1188 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK319_SY604 @ SV540 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6554]) ).
thf(6687,plain,
! [SV482: $i,SV1: $i,SV1189: $i,SV1141: $i] :
( ( ( ~ ( in @ SV1141 @ SV1189 ) )
= $true )
| ( ( in @ SV1141 @ SV1 )
= $true )
| ( ( in @ SV1189 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK304_SY573 @ SV482 @ SV1 ) @ ( sK186_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6573]) ).
thf(6688,plain,
! [SV482: $i,SV1: $i,SV1190: $i,SV1142: $i] :
( ( ( ~ ( in @ SV1142 @ SV1190 ) )
= $true )
| ( ( in @ SV1142 @ SV1 )
= $true )
| ( ( in @ SV1190 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( SV482
= ( sK304_SY573 @ SV482 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6574]) ).
thf(6689,plain,
! [SV482: $i,SV1: $i,SV1191: $i,SV1143: $i] :
( ( ( ~ ( in @ SV1143 @ SV1191 ) )
= $true )
| ( ( in @ SV1143 @ SV1 )
= $true )
| ( ( in @ SV1191 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV482 @ ( sK304_SY573 @ SV482 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6575]) ).
thf(6690,plain,
! [SV484: $i,SV1: $i,SV1192: $i,SV1144: $i] :
( ( ( ~ ( in @ SV1144 @ SV1192 ) )
= $true )
| ( ( in @ SV1144 @ SV1 )
= $true )
| ( ( in @ SV1192 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK305_SY574 @ SV484 @ SV1 ) @ ( sK187_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6576]) ).
thf(6691,plain,
! [SV484: $i,SV1: $i,SV1193: $i,SV1145: $i] :
( ( ( ~ ( in @ SV1145 @ SV1193 ) )
= $true )
| ( ( in @ SV1145 @ SV1 )
= $true )
| ( ( in @ SV1193 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( SV484
= ( sK305_SY574 @ SV484 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6577]) ).
thf(6692,plain,
! [SV484: $i,SV1: $i,SV1194: $i,SV1146: $i] :
( ( ( ~ ( in @ SV1146 @ SV1194 ) )
= $true )
| ( ( in @ SV1146 @ SV1 )
= $true )
| ( ( in @ SV1194 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV484 @ ( sK305_SY574 @ SV484 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6578]) ).
thf(6693,plain,
! [SV562: $i,SV1195: $i,SV1: $i,SV1285: $i] :
( ( ( in @ SV1285 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1195 @ SV1285 )
| ( in @ SV1195 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK320_SY625 @ SV562 @ SV1 ) @ ( sK204_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6579]) ).
thf(6694,plain,
! [SV562: $i,SV1196: $i,SV1: $i,SV1286: $i] :
( ( ( in @ SV1286 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1196 @ SV1286 )
| ( in @ SV1196 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( SV562
= ( sK320_SY625 @ SV562 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6580]) ).
thf(6695,plain,
! [SV562: $i,SV1197: $i,SV1: $i,SV1287: $i] :
( ( ( in @ SV1287 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1197 @ SV1287 )
| ( in @ SV1197 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK320_SY625 @ SV562 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6581]) ).
thf(6696,plain,
! [SV564: $i,SV1198: $i,SV1: $i,SV1288: $i] :
( ( ( in @ SV1288 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1198 @ SV1288 )
| ( in @ SV1198 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK321_SY626 @ SV564 @ SV1 ) @ ( sK205_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6582]) ).
thf(6697,plain,
! [SV564: $i,SV1199: $i,SV1: $i,SV1289: $i] :
( ( ( in @ SV1289 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1199 @ SV1289 )
| ( in @ SV1199 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( SV564
= ( sK321_SY626 @ SV564 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6583]) ).
thf(6698,plain,
! [SV564: $i,SV1200: $i,SV1: $i,SV1290: $i] :
( ( ( in @ SV1290 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1200 @ SV1290 )
| ( in @ SV1200 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK321_SY626 @ SV564 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6584]) ).
thf(6699,plain,
! [SV566: $i,SV1201: $i,SV1: $i,SV1291: $i] :
( ( ( in @ SV1291 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1201 @ SV1291 )
| ( in @ SV1201 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK322_SY627 @ SV566 @ SV1 ) @ ( sK206_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6585]) ).
thf(6700,plain,
! [SV566: $i,SV1202: $i,SV1: $i,SV1292: $i] :
( ( ( in @ SV1292 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1202 @ SV1292 )
| ( in @ SV1202 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( SV566
= ( sK322_SY627 @ SV566 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6586]) ).
thf(6701,plain,
! [SV566: $i,SV1203: $i,SV1: $i,SV1293: $i] :
( ( ( in @ SV1293 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1203 @ SV1293 )
| ( in @ SV1203 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK322_SY627 @ SV566 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6587]) ).
thf(6702,plain,
! [SV568: $i,SV1204: $i,SV1: $i,SV1294: $i] :
( ( ( in @ SV1294 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1204 @ SV1294 )
| ( in @ SV1204 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK323_SY628 @ SV568 @ SV1 ) @ ( sK207_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6588]) ).
thf(6703,plain,
! [SV568: $i,SV1205: $i,SV1: $i,SV1295: $i] :
( ( ( in @ SV1295 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1205 @ SV1295 )
| ( in @ SV1205 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( SV568
= ( sK323_SY628 @ SV568 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6589]) ).
thf(6704,plain,
! [SV568: $i,SV1206: $i,SV1: $i,SV1296: $i] :
( ( ( in @ SV1296 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1206 @ SV1296 )
| ( in @ SV1206 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK323_SY628 @ SV568 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6590]) ).
thf(6705,plain,
! [SV490: $i,SV1: $i,SV1207: $i,SV1147: $i] :
( ( ( ~ ( in @ SV1147 @ SV1207 ) )
= $true )
| ( ( in @ SV1147 @ SV1 )
= $true )
| ( ( in @ SV1207 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK306_SY579 @ SV490 @ SV1 ) @ ( sK188_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6591]) ).
thf(6706,plain,
! [SV490: $i,SV1: $i,SV1208: $i,SV1148: $i] :
( ( ( ~ ( in @ SV1148 @ SV1208 ) )
= $true )
| ( ( in @ SV1148 @ SV1 )
= $true )
| ( ( in @ SV1208 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( SV490
= ( sK306_SY579 @ SV490 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6592]) ).
thf(6707,plain,
! [SV490: $i,SV1: $i,SV1209: $i,SV1149: $i] :
( ( ( ~ ( in @ SV1149 @ SV1209 ) )
= $true )
| ( ( in @ SV1149 @ SV1 )
= $true )
| ( ( in @ SV1209 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK306_SY579 @ SV490 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6593]) ).
thf(6708,plain,
! [SV492: $i,SV1: $i,SV1210: $i,SV1150: $i] :
( ( ( ~ ( in @ SV1150 @ SV1210 ) )
= $true )
| ( ( in @ SV1150 @ SV1 )
= $true )
| ( ( in @ SV1210 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK307_SY580 @ SV492 @ SV1 ) @ ( sK189_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6594]) ).
thf(6709,plain,
! [SV492: $i,SV1: $i,SV1211: $i,SV1151: $i] :
( ( ( ~ ( in @ SV1151 @ SV1211 ) )
= $true )
| ( ( in @ SV1151 @ SV1 )
= $true )
| ( ( in @ SV1211 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( SV492
= ( sK307_SY580 @ SV492 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6595]) ).
thf(6710,plain,
! [SV492: $i,SV1: $i,SV1212: $i,SV1152: $i] :
( ( ( ~ ( in @ SV1152 @ SV1212 ) )
= $true )
| ( ( in @ SV1152 @ SV1 )
= $true )
| ( ( in @ SV1212 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK307_SY580 @ SV492 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6596]) ).
thf(6711,plain,
! [SV496: $i,SV1: $i,SV1213: $i,SV1153: $i] :
( ( ( ~ ( in @ SV1153 @ SV1213 ) )
= $true )
| ( ( in @ SV1153 @ SV1 )
= $true )
| ( ( in @ SV1213 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK308_SY581 @ SV496 @ SV1 ) @ ( sK190_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6603]) ).
thf(6712,plain,
! [SV496: $i,SV1: $i,SV1214: $i,SV1154: $i] :
( ( ( ~ ( in @ SV1154 @ SV1214 ) )
= $true )
| ( ( in @ SV1154 @ SV1 )
= $true )
| ( ( in @ SV1214 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( SV496
= ( sK308_SY581 @ SV496 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6604]) ).
thf(6713,plain,
! [SV496: $i,SV1: $i,SV1215: $i,SV1155: $i] :
( ( ( ~ ( in @ SV1155 @ SV1215 ) )
= $true )
| ( ( in @ SV1155 @ SV1 )
= $true )
| ( ( in @ SV1215 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV496 @ ( sK308_SY581 @ SV496 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6605]) ).
thf(6714,plain,
! [SV498: $i,SV1: $i,SV1216: $i,SV1156: $i] :
( ( ( ~ ( in @ SV1156 @ SV1216 ) )
= $true )
| ( ( in @ SV1156 @ SV1 )
= $true )
| ( ( in @ SV1216 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK309_SY582 @ SV498 @ SV1 ) @ ( sK191_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6606]) ).
thf(6715,plain,
! [SV498: $i,SV1: $i,SV1217: $i,SV1157: $i] :
( ( ( ~ ( in @ SV1157 @ SV1217 ) )
= $true )
| ( ( in @ SV1157 @ SV1 )
= $true )
| ( ( in @ SV1217 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( SV498
= ( sK309_SY582 @ SV498 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6607]) ).
thf(6716,plain,
! [SV498: $i,SV1: $i,SV1218: $i,SV1158: $i] :
( ( ( ~ ( in @ SV1158 @ SV1218 ) )
= $true )
| ( ( in @ SV1158 @ SV1 )
= $true )
| ( ( in @ SV1218 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV498 @ ( sK309_SY582 @ SV498 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6608]) ).
thf(6717,plain,
! [SV574: $i,SV1219: $i,SV1: $i,SV1297: $i] :
( ( ( in @ SV1297 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1219 @ SV1297 )
| ( in @ SV1219 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK324_SY633 @ SV574 @ SV1 ) @ ( sK208_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6609]) ).
thf(6718,plain,
! [SV574: $i,SV1220: $i,SV1: $i,SV1298: $i] :
( ( ( in @ SV1298 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1220 @ SV1298 )
| ( in @ SV1220 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( SV574
= ( sK324_SY633 @ SV574 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6610]) ).
thf(6719,plain,
! [SV574: $i,SV1221: $i,SV1: $i,SV1299: $i] :
( ( ( in @ SV1299 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1221 @ SV1299 )
| ( in @ SV1221 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK324_SY633 @ SV574 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6611]) ).
thf(6720,plain,
! [SV576: $i,SV1222: $i,SV1: $i,SV1300: $i] :
( ( ( in @ SV1300 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1222 @ SV1300 )
| ( in @ SV1222 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK325_SY634 @ SV576 @ SV1 ) @ ( sK209_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6612]) ).
thf(6721,plain,
! [SV576: $i,SV1223: $i,SV1: $i,SV1301: $i] :
( ( ( in @ SV1301 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1223 @ SV1301 )
| ( in @ SV1223 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( SV576
= ( sK325_SY634 @ SV576 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6613]) ).
thf(6722,plain,
! [SV576: $i,SV1224: $i,SV1: $i,SV1302: $i] :
( ( ( in @ SV1302 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1224 @ SV1302 )
| ( in @ SV1224 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK325_SY634 @ SV576 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6614]) ).
thf(6723,plain,
! [SV578: $i,SV1225: $i,SV1: $i,SV1303: $i] :
( ( ( in @ SV1303 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1225 @ SV1303 )
| ( in @ SV1225 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK326_SY635 @ SV578 @ SV1 ) @ ( sK210_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6615]) ).
thf(6724,plain,
! [SV578: $i,SV1226: $i,SV1: $i,SV1304: $i] :
( ( ( in @ SV1304 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1226 @ SV1304 )
| ( in @ SV1226 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( SV578
= ( sK326_SY635 @ SV578 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6616]) ).
thf(6725,plain,
! [SV578: $i,SV1227: $i,SV1: $i,SV1305: $i] :
( ( ( in @ SV1305 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1227 @ SV1305 )
| ( in @ SV1227 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK326_SY635 @ SV578 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6617]) ).
thf(6726,plain,
! [SV580: $i,SV1228: $i,SV1: $i,SV1306: $i] :
( ( ( in @ SV1306 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1228 @ SV1306 )
| ( in @ SV1228 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK327_SY636 @ SV580 @ SV1 ) @ ( sK211_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6618]) ).
thf(6727,plain,
! [SV580: $i,SV1229: $i,SV1: $i,SV1307: $i] :
( ( ( in @ SV1307 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1229 @ SV1307 )
| ( in @ SV1229 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( SV580
= ( sK327_SY636 @ SV580 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6619]) ).
thf(6728,plain,
! [SV580: $i,SV1230: $i,SV1: $i,SV1308: $i] :
( ( ( in @ SV1308 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1230 @ SV1308 )
| ( in @ SV1230 @ SV1 ) )
= $true )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK327_SY636 @ SV580 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6620]) ).
thf(6729,plain,
! [SV504: $i,SV1: $i,SV1231: $i,SV1159: $i] :
( ( ( ~ ( in @ SV1159 @ SV1231 ) )
= $true )
| ( ( in @ SV1159 @ SV1 )
= $true )
| ( ( in @ SV1231 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK310_SY587 @ SV504 @ SV1 ) @ ( sK192_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6621]) ).
thf(6730,plain,
! [SV504: $i,SV1: $i,SV1232: $i,SV1160: $i] :
( ( ( ~ ( in @ SV1160 @ SV1232 ) )
= $true )
| ( ( in @ SV1160 @ SV1 )
= $true )
| ( ( in @ SV1232 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( SV504
= ( sK310_SY587 @ SV504 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6622]) ).
thf(6731,plain,
! [SV504: $i,SV1: $i,SV1233: $i,SV1161: $i] :
( ( ( ~ ( in @ SV1161 @ SV1233 ) )
= $true )
| ( ( in @ SV1161 @ SV1 )
= $true )
| ( ( in @ SV1233 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK310_SY587 @ SV504 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6623]) ).
thf(6732,plain,
! [SV506: $i,SV1: $i,SV1234: $i,SV1162: $i] :
( ( ( ~ ( in @ SV1162 @ SV1234 ) )
= $true )
| ( ( in @ SV1162 @ SV1 )
= $true )
| ( ( in @ SV1234 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK311_SY588 @ SV506 @ SV1 ) @ ( sK193_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6624]) ).
thf(6733,plain,
! [SV506: $i,SV1: $i,SV1235: $i,SV1163: $i] :
( ( ( ~ ( in @ SV1163 @ SV1235 ) )
= $true )
| ( ( in @ SV1163 @ SV1 )
= $true )
| ( ( in @ SV1235 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( SV506
= ( sK311_SY588 @ SV506 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6625]) ).
thf(6734,plain,
! [SV506: $i,SV1: $i,SV1236: $i,SV1164: $i] :
( ( ( ~ ( in @ SV1164 @ SV1236 ) )
= $true )
| ( ( in @ SV1164 @ SV1 )
= $true )
| ( ( in @ SV1236 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK311_SY588 @ SV506 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6626]) ).
thf(6735,plain,
! [SV516: $i,SV1: $i,SV1237: $i,SV1165: $i] :
( ( ( ~ ( in @ SV1165 @ SV1237 ) )
= $true )
| ( ( in @ SV1165 @ SV1 )
= $true )
| ( ( in @ SV1237 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK312_SY589 @ SV516 @ SV1 ) @ ( sK196_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6633]) ).
thf(6736,plain,
! [SV516: $i,SV1: $i,SV1238: $i,SV1166: $i] :
( ( ( ~ ( in @ SV1166 @ SV1238 ) )
= $true )
| ( ( in @ SV1166 @ SV1 )
= $true )
| ( ( in @ SV1238 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( SV516
= ( sK312_SY589 @ SV516 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6634]) ).
thf(6737,plain,
! [SV516: $i,SV1: $i,SV1239: $i,SV1167: $i] :
( ( ( ~ ( in @ SV1167 @ SV1239 ) )
= $true )
| ( ( in @ SV1167 @ SV1 )
= $true )
| ( ( in @ SV1239 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV516 @ ( sK312_SY589 @ SV516 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6635]) ).
thf(6738,plain,
! [SV518: $i,SV1: $i,SV1240: $i,SV1168: $i] :
( ( ( ~ ( in @ SV1168 @ SV1240 ) )
= $true )
| ( ( in @ SV1168 @ SV1 )
= $true )
| ( ( in @ SV1240 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK313_SY590 @ SV518 @ SV1 ) @ ( sK197_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6636]) ).
thf(6739,plain,
! [SV518: $i,SV1: $i,SV1241: $i,SV1169: $i] :
( ( ( ~ ( in @ SV1169 @ SV1241 ) )
= $true )
| ( ( in @ SV1169 @ SV1 )
= $true )
| ( ( in @ SV1241 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( SV518
= ( sK313_SY590 @ SV518 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6637]) ).
thf(6740,plain,
! [SV518: $i,SV1: $i,SV1242: $i,SV1170: $i] :
( ( ( ~ ( in @ SV1170 @ SV1242 ) )
= $true )
| ( ( in @ SV1170 @ SV1 )
= $true )
| ( ( in @ SV1242 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV518 @ ( sK313_SY590 @ SV518 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6638]) ).
thf(6741,plain,
! [SV604: $i,SV1243: $i,SV1: $i,SV1309: $i] :
( ( ( in @ SV1309 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1243 @ SV1309 )
| ( in @ SV1243 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK328_SY659 @ SV604 @ SV1 ) @ ( sK212_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6639]) ).
thf(6742,plain,
! [SV604: $i,SV1244: $i,SV1: $i,SV1310: $i] :
( ( ( in @ SV1310 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1244 @ SV1310 )
| ( in @ SV1244 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( SV604
= ( sK328_SY659 @ SV604 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6640]) ).
thf(6743,plain,
! [SV604: $i,SV1245: $i,SV1: $i,SV1311: $i] :
( ( ( in @ SV1311 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1245 @ SV1311 )
| ( in @ SV1245 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK328_SY659 @ SV604 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6641]) ).
thf(6744,plain,
! [SV606: $i,SV1246: $i,SV1: $i,SV1312: $i] :
( ( ( in @ SV1312 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1246 @ SV1312 )
| ( in @ SV1246 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK329_SY660 @ SV606 @ SV1 ) @ ( sK213_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6642]) ).
thf(6745,plain,
! [SV606: $i,SV1247: $i,SV1: $i,SV1313: $i] :
( ( ( in @ SV1313 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1247 @ SV1313 )
| ( in @ SV1247 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( SV606
= ( sK329_SY660 @ SV606 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6643]) ).
thf(6746,plain,
! [SV606: $i,SV1248: $i,SV1: $i,SV1314: $i] :
( ( ( in @ SV1314 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1248 @ SV1314 )
| ( in @ SV1248 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK329_SY660 @ SV606 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6644]) ).
thf(6747,plain,
! [SV608: $i,SV1249: $i,SV1: $i,SV1315: $i] :
( ( ( in @ SV1315 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1249 @ SV1315 )
| ( in @ SV1249 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK330_SY661 @ SV608 @ SV1 ) @ ( sK214_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6645]) ).
thf(6748,plain,
! [SV608: $i,SV1250: $i,SV1: $i,SV1316: $i] :
( ( ( in @ SV1316 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1250 @ SV1316 )
| ( in @ SV1250 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( SV608
= ( sK330_SY661 @ SV608 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6646]) ).
thf(6749,plain,
! [SV608: $i,SV1251: $i,SV1: $i,SV1317: $i] :
( ( ( in @ SV1317 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1251 @ SV1317 )
| ( in @ SV1251 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK330_SY661 @ SV608 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6647]) ).
thf(6750,plain,
! [SV610: $i,SV1252: $i,SV1: $i,SV1318: $i] :
( ( ( in @ SV1318 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1252 @ SV1318 )
| ( in @ SV1252 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK331_SY662 @ SV610 @ SV1 ) @ ( sK215_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6648]) ).
thf(6751,plain,
! [SV610: $i,SV1253: $i,SV1: $i,SV1319: $i] :
( ( ( in @ SV1319 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1253 @ SV1319 )
| ( in @ SV1253 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( SV610
= ( sK331_SY662 @ SV610 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6649]) ).
thf(6752,plain,
! [SV610: $i,SV1254: $i,SV1: $i,SV1320: $i] :
( ( ( in @ SV1320 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1254 @ SV1320 )
| ( in @ SV1254 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK331_SY662 @ SV610 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6650]) ).
thf(6753,plain,
! [SV524: $i,SV1: $i,SV1255: $i,SV1171: $i] :
( ( ( ~ ( in @ SV1171 @ SV1255 ) )
= $true )
| ( ( in @ SV1171 @ SV1 )
= $true )
| ( ( in @ SV1255 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK314_SY595 @ SV524 @ SV1 ) @ ( sK198_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6651]) ).
thf(6754,plain,
! [SV524: $i,SV1: $i,SV1256: $i,SV1172: $i] :
( ( ( ~ ( in @ SV1172 @ SV1256 ) )
= $true )
| ( ( in @ SV1172 @ SV1 )
= $true )
| ( ( in @ SV1256 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( SV524
= ( sK314_SY595 @ SV524 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6652]) ).
thf(6755,plain,
! [SV524: $i,SV1: $i,SV1257: $i,SV1173: $i] :
( ( ( ~ ( in @ SV1173 @ SV1257 ) )
= $true )
| ( ( in @ SV1173 @ SV1 )
= $true )
| ( ( in @ SV1257 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK314_SY595 @ SV524 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6653]) ).
thf(6756,plain,
! [SV526: $i,SV1: $i,SV1258: $i,SV1174: $i] :
( ( ( ~ ( in @ SV1174 @ SV1258 ) )
= $true )
| ( ( in @ SV1174 @ SV1 )
= $true )
| ( ( in @ SV1258 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK315_SY596 @ SV526 @ SV1 ) @ ( sK199_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6654]) ).
thf(6757,plain,
! [SV526: $i,SV1: $i,SV1259: $i,SV1175: $i] :
( ( ( ~ ( in @ SV1175 @ SV1259 ) )
= $true )
| ( ( in @ SV1175 @ SV1 )
= $true )
| ( ( in @ SV1259 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( SV526
= ( sK315_SY596 @ SV526 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6655]) ).
thf(6758,plain,
! [SV526: $i,SV1: $i,SV1260: $i,SV1176: $i] :
( ( ( ~ ( in @ SV1176 @ SV1260 ) )
= $true )
| ( ( in @ SV1176 @ SV1 )
= $true )
| ( ( in @ SV1260 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK315_SY596 @ SV526 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6656]) ).
thf(6759,plain,
! [SV530: $i,SV1: $i,SV1261: $i,SV1177: $i] :
( ( ( ~ ( in @ SV1177 @ SV1261 ) )
= $true )
| ( ( in @ SV1177 @ SV1 )
= $true )
| ( ( in @ SV1261 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK316_SY597 @ SV530 @ SV1 ) @ ( sK200_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6663]) ).
thf(6760,plain,
! [SV530: $i,SV1: $i,SV1262: $i,SV1178: $i] :
( ( ( ~ ( in @ SV1178 @ SV1262 ) )
= $true )
| ( ( in @ SV1178 @ SV1 )
= $true )
| ( ( in @ SV1262 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( SV530
= ( sK316_SY597 @ SV530 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6664]) ).
thf(6761,plain,
! [SV530: $i,SV1: $i,SV1263: $i,SV1179: $i] :
( ( ( ~ ( in @ SV1179 @ SV1263 ) )
= $true )
| ( ( in @ SV1179 @ SV1 )
= $true )
| ( ( in @ SV1263 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV530 @ ( sK316_SY597 @ SV530 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6665]) ).
thf(6762,plain,
! [SV532: $i,SV1: $i,SV1264: $i,SV1180: $i] :
( ( ( ~ ( in @ SV1180 @ SV1264 ) )
= $true )
| ( ( in @ SV1180 @ SV1 )
= $true )
| ( ( in @ SV1264 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK317_SY598 @ SV532 @ SV1 ) @ ( sK201_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6666]) ).
thf(6763,plain,
! [SV532: $i,SV1: $i,SV1265: $i,SV1181: $i] :
( ( ( ~ ( in @ SV1181 @ SV1265 ) )
= $true )
| ( ( in @ SV1181 @ SV1 )
= $true )
| ( ( in @ SV1265 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( SV532
= ( sK317_SY598 @ SV532 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6667]) ).
thf(6764,plain,
! [SV532: $i,SV1: $i,SV1266: $i,SV1182: $i] :
( ( ( ~ ( in @ SV1182 @ SV1266 ) )
= $true )
| ( ( in @ SV1182 @ SV1 )
= $true )
| ( ( in @ SV1266 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV532 @ ( sK317_SY598 @ SV532 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6668]) ).
thf(6765,plain,
! [SV616: $i,SV1267: $i,SV1: $i,SV1321: $i] :
( ( ( in @ SV1321 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1267 @ SV1321 )
| ( in @ SV1267 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK332_SY667 @ SV616 @ SV1 ) @ ( sK216_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6669]) ).
thf(6766,plain,
! [SV616: $i,SV1268: $i,SV1: $i,SV1322: $i] :
( ( ( in @ SV1322 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1268 @ SV1322 )
| ( in @ SV1268 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( SV616
= ( sK332_SY667 @ SV616 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6670]) ).
thf(6767,plain,
! [SV616: $i,SV1269: $i,SV1: $i,SV1323: $i] :
( ( ( in @ SV1323 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1269 @ SV1323 )
| ( in @ SV1269 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK332_SY667 @ SV616 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6671]) ).
thf(6768,plain,
! [SV618: $i,SV1270: $i,SV1: $i,SV1324: $i] :
( ( ( in @ SV1324 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1270 @ SV1324 )
| ( in @ SV1270 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK333_SY668 @ SV618 @ SV1 ) @ ( sK217_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6672]) ).
thf(6769,plain,
! [SV618: $i,SV1271: $i,SV1: $i,SV1325: $i] :
( ( ( in @ SV1325 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1271 @ SV1325 )
| ( in @ SV1271 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( SV618
= ( sK333_SY668 @ SV618 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6673]) ).
thf(6770,plain,
! [SV618: $i,SV1272: $i,SV1: $i,SV1326: $i] :
( ( ( in @ SV1326 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1272 @ SV1326 )
| ( in @ SV1272 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK333_SY668 @ SV618 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6674]) ).
thf(6771,plain,
! [SV620: $i,SV1273: $i,SV1: $i,SV1327: $i] :
( ( ( in @ SV1327 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1273 @ SV1327 )
| ( in @ SV1273 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK334_SY669 @ SV620 @ SV1 ) @ ( sK218_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6675]) ).
thf(6772,plain,
! [SV620: $i,SV1274: $i,SV1: $i,SV1328: $i] :
( ( ( in @ SV1328 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1274 @ SV1328 )
| ( in @ SV1274 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( SV620
= ( sK334_SY669 @ SV620 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6676]) ).
thf(6773,plain,
! [SV620: $i,SV1275: $i,SV1: $i,SV1329: $i] :
( ( ( in @ SV1329 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1275 @ SV1329 )
| ( in @ SV1275 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK334_SY669 @ SV620 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6677]) ).
thf(6774,plain,
! [SV622: $i,SV1276: $i,SV1: $i,SV1330: $i] :
( ( ( in @ SV1330 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1276 @ SV1330 )
| ( in @ SV1276 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK335_SY670 @ SV622 @ SV1 ) @ ( sK219_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6678]) ).
thf(6775,plain,
! [SV622: $i,SV1277: $i,SV1: $i,SV1331: $i] :
( ( ( in @ SV1331 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1277 @ SV1331 )
| ( in @ SV1277 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( SV622
= ( sK335_SY670 @ SV622 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6679]) ).
thf(6776,plain,
! [SV622: $i,SV1278: $i,SV1: $i,SV1332: $i] :
( ( ( in @ SV1332 @ SV1 )
= $false )
| ( ( ~ ( in @ SV1278 @ SV1332 )
| ( in @ SV1278 @ SV1 ) )
= $true )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK335_SY670 @ SV622 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6680]) ).
thf(6777,plain,
! [SV538: $i,SV1: $i,SV1279: $i,SV1183: $i] :
( ( ( ~ ( in @ SV1183 @ SV1279 ) )
= $true )
| ( ( in @ SV1183 @ SV1 )
= $true )
| ( ( in @ SV1279 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK318_SY603 @ SV538 @ SV1 ) @ ( sK202_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6681]) ).
thf(6778,plain,
! [SV538: $i,SV1: $i,SV1280: $i,SV1184: $i] :
( ( ( ~ ( in @ SV1184 @ SV1280 ) )
= $true )
| ( ( in @ SV1184 @ SV1 )
= $true )
| ( ( in @ SV1280 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( SV538
= ( sK318_SY603 @ SV538 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6682]) ).
thf(6779,plain,
! [SV538: $i,SV1: $i,SV1281: $i,SV1185: $i] :
( ( ( ~ ( in @ SV1185 @ SV1281 ) )
= $true )
| ( ( in @ SV1185 @ SV1 )
= $true )
| ( ( in @ SV1281 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK318_SY603 @ SV538 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6683]) ).
thf(6780,plain,
! [SV540: $i,SV1: $i,SV1282: $i,SV1186: $i] :
( ( ( ~ ( in @ SV1186 @ SV1282 ) )
= $true )
| ( ( in @ SV1186 @ SV1 )
= $true )
| ( ( in @ SV1282 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK319_SY604 @ SV540 @ SV1 ) @ ( sK203_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6684]) ).
thf(6781,plain,
! [SV540: $i,SV1: $i,SV1283: $i,SV1187: $i] :
( ( ( ~ ( in @ SV1187 @ SV1283 ) )
= $true )
| ( ( in @ SV1187 @ SV1 )
= $true )
| ( ( in @ SV1283 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( SV540
= ( sK319_SY604 @ SV540 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6685]) ).
thf(6782,plain,
! [SV540: $i,SV1: $i,SV1284: $i,SV1188: $i] :
( ( ( ~ ( in @ SV1188 @ SV1284 ) )
= $true )
| ( ( in @ SV1188 @ SV1 )
= $true )
| ( ( in @ SV1284 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK319_SY604 @ SV540 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6686]) ).
thf(6783,plain,
! [SV482: $i,SV1: $i,SV1189: $i,SV1141: $i] :
( ( ( in @ SV1141 @ SV1189 )
= $false )
| ( ( in @ SV1141 @ SV1 )
= $true )
| ( ( in @ SV1189 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK304_SY573 @ SV482 @ SV1 ) @ ( sK186_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6687]) ).
thf(6784,plain,
! [SV482: $i,SV1: $i,SV1190: $i,SV1142: $i] :
( ( ( in @ SV1142 @ SV1190 )
= $false )
| ( ( in @ SV1142 @ SV1 )
= $true )
| ( ( in @ SV1190 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( SV482
= ( sK304_SY573 @ SV482 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6688]) ).
thf(6785,plain,
! [SV482: $i,SV1: $i,SV1191: $i,SV1143: $i] :
( ( ( in @ SV1143 @ SV1191 )
= $false )
| ( ( in @ SV1143 @ SV1 )
= $true )
| ( ( in @ SV1191 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV482 @ ( sK186_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV482 @ ( sK304_SY573 @ SV482 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6689]) ).
thf(6786,plain,
! [SV484: $i,SV1: $i,SV1192: $i,SV1144: $i] :
( ( ( in @ SV1144 @ SV1192 )
= $false )
| ( ( in @ SV1144 @ SV1 )
= $true )
| ( ( in @ SV1192 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK305_SY574 @ SV484 @ SV1 ) @ ( sK187_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6690]) ).
thf(6787,plain,
! [SV484: $i,SV1: $i,SV1193: $i,SV1145: $i] :
( ( ( in @ SV1145 @ SV1193 )
= $false )
| ( ( in @ SV1145 @ SV1 )
= $true )
| ( ( in @ SV1193 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( SV484
= ( sK305_SY574 @ SV484 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6691]) ).
thf(6788,plain,
! [SV484: $i,SV1: $i,SV1194: $i,SV1146: $i] :
( ( ( in @ SV1146 @ SV1194 )
= $false )
| ( ( in @ SV1146 @ SV1 )
= $true )
| ( ( in @ SV1194 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK132_SY7 @ SV1 ) @ ( sK132_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV484 @ ( sK187_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV484 @ ( sK305_SY574 @ SV484 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6692]) ).
thf(6789,plain,
! [SV562: $i,SV1: $i,SV1285: $i,SV1195: $i] :
( ( ( ~ ( in @ SV1195 @ SV1285 ) )
= $true )
| ( ( in @ SV1195 @ SV1 )
= $true )
| ( ( in @ SV1285 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK320_SY625 @ SV562 @ SV1 ) @ ( sK204_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6693]) ).
thf(6790,plain,
! [SV562: $i,SV1: $i,SV1286: $i,SV1196: $i] :
( ( ( ~ ( in @ SV1196 @ SV1286 ) )
= $true )
| ( ( in @ SV1196 @ SV1 )
= $true )
| ( ( in @ SV1286 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( SV562
= ( sK320_SY625 @ SV562 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6694]) ).
thf(6791,plain,
! [SV562: $i,SV1: $i,SV1287: $i,SV1197: $i] :
( ( ( ~ ( in @ SV1197 @ SV1287 ) )
= $true )
| ( ( in @ SV1197 @ SV1 )
= $true )
| ( ( in @ SV1287 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK320_SY625 @ SV562 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6695]) ).
thf(6792,plain,
! [SV564: $i,SV1: $i,SV1288: $i,SV1198: $i] :
( ( ( ~ ( in @ SV1198 @ SV1288 ) )
= $true )
| ( ( in @ SV1198 @ SV1 )
= $true )
| ( ( in @ SV1288 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK321_SY626 @ SV564 @ SV1 ) @ ( sK205_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6696]) ).
thf(6793,plain,
! [SV564: $i,SV1: $i,SV1289: $i,SV1199: $i] :
( ( ( ~ ( in @ SV1199 @ SV1289 ) )
= $true )
| ( ( in @ SV1199 @ SV1 )
= $true )
| ( ( in @ SV1289 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( SV564
= ( sK321_SY626 @ SV564 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6697]) ).
thf(6794,plain,
! [SV564: $i,SV1: $i,SV1290: $i,SV1200: $i] :
( ( ( ~ ( in @ SV1200 @ SV1290 ) )
= $true )
| ( ( in @ SV1200 @ SV1 )
= $true )
| ( ( in @ SV1290 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK321_SY626 @ SV564 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6698]) ).
thf(6795,plain,
! [SV566: $i,SV1: $i,SV1291: $i,SV1201: $i] :
( ( ( ~ ( in @ SV1201 @ SV1291 ) )
= $true )
| ( ( in @ SV1201 @ SV1 )
= $true )
| ( ( in @ SV1291 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK322_SY627 @ SV566 @ SV1 ) @ ( sK206_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6699]) ).
thf(6796,plain,
! [SV566: $i,SV1: $i,SV1292: $i,SV1202: $i] :
( ( ( ~ ( in @ SV1202 @ SV1292 ) )
= $true )
| ( ( in @ SV1202 @ SV1 )
= $true )
| ( ( in @ SV1292 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( SV566
= ( sK322_SY627 @ SV566 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6700]) ).
thf(6797,plain,
! [SV566: $i,SV1: $i,SV1293: $i,SV1203: $i] :
( ( ( ~ ( in @ SV1203 @ SV1293 ) )
= $true )
| ( ( in @ SV1203 @ SV1 )
= $true )
| ( ( in @ SV1293 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK322_SY627 @ SV566 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6701]) ).
thf(6798,plain,
! [SV568: $i,SV1: $i,SV1294: $i,SV1204: $i] :
( ( ( ~ ( in @ SV1204 @ SV1294 ) )
= $true )
| ( ( in @ SV1204 @ SV1 )
= $true )
| ( ( in @ SV1294 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK323_SY628 @ SV568 @ SV1 ) @ ( sK207_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6702]) ).
thf(6799,plain,
! [SV568: $i,SV1: $i,SV1295: $i,SV1205: $i] :
( ( ( ~ ( in @ SV1205 @ SV1295 ) )
= $true )
| ( ( in @ SV1205 @ SV1 )
= $true )
| ( ( in @ SV1295 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( SV568
= ( sK323_SY628 @ SV568 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6703]) ).
thf(6800,plain,
! [SV568: $i,SV1: $i,SV1296: $i,SV1206: $i] :
( ( ( ~ ( in @ SV1206 @ SV1296 ) )
= $true )
| ( ( in @ SV1206 @ SV1 )
= $true )
| ( ( in @ SV1296 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK323_SY628 @ SV568 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6704]) ).
thf(6801,plain,
! [SV490: $i,SV1: $i,SV1207: $i,SV1147: $i] :
( ( ( in @ SV1147 @ SV1207 )
= $false )
| ( ( in @ SV1147 @ SV1 )
= $true )
| ( ( in @ SV1207 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK306_SY579 @ SV490 @ SV1 ) @ ( sK188_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6705]) ).
thf(6802,plain,
! [SV490: $i,SV1: $i,SV1208: $i,SV1148: $i] :
( ( ( in @ SV1148 @ SV1208 )
= $false )
| ( ( in @ SV1148 @ SV1 )
= $true )
| ( ( in @ SV1208 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( SV490
= ( sK306_SY579 @ SV490 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6706]) ).
thf(6803,plain,
! [SV490: $i,SV1: $i,SV1209: $i,SV1149: $i] :
( ( ( in @ SV1149 @ SV1209 )
= $false )
| ( ( in @ SV1149 @ SV1 )
= $true )
| ( ( in @ SV1209 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK188_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV490 @ ( sK306_SY579 @ SV490 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6707]) ).
thf(6804,plain,
! [SV492: $i,SV1: $i,SV1210: $i,SV1150: $i] :
( ( ( in @ SV1150 @ SV1210 )
= $false )
| ( ( in @ SV1150 @ SV1 )
= $true )
| ( ( in @ SV1210 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK307_SY580 @ SV492 @ SV1 ) @ ( sK189_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6708]) ).
thf(6805,plain,
! [SV492: $i,SV1: $i,SV1211: $i,SV1151: $i] :
( ( ( in @ SV1151 @ SV1211 )
= $false )
| ( ( in @ SV1151 @ SV1 )
= $true )
| ( ( in @ SV1211 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( SV492
= ( sK307_SY580 @ SV492 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6709]) ).
thf(6806,plain,
! [SV492: $i,SV1: $i,SV1212: $i,SV1152: $i] :
( ( ( in @ SV1152 @ SV1212 )
= $false )
| ( ( in @ SV1152 @ SV1 )
= $true )
| ( ( in @ SV1212 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK133_SY7 @ SV1 ) @ ( sK133_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK68_SY41 @ SV1 ) @ ( sK45_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK189_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV492 @ ( sK307_SY580 @ SV492 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6710]) ).
thf(6807,plain,
! [SV496: $i,SV1: $i,SV1213: $i,SV1153: $i] :
( ( ( in @ SV1153 @ SV1213 )
= $false )
| ( ( in @ SV1153 @ SV1 )
= $true )
| ( ( in @ SV1213 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK308_SY581 @ SV496 @ SV1 ) @ ( sK190_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6711]) ).
thf(6808,plain,
! [SV496: $i,SV1: $i,SV1214: $i,SV1154: $i] :
( ( ( in @ SV1154 @ SV1214 )
= $false )
| ( ( in @ SV1154 @ SV1 )
= $true )
| ( ( in @ SV1214 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( SV496
= ( sK308_SY581 @ SV496 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6712]) ).
thf(6809,plain,
! [SV496: $i,SV1: $i,SV1215: $i,SV1155: $i] :
( ( ( in @ SV1155 @ SV1215 )
= $false )
| ( ( in @ SV1155 @ SV1 )
= $true )
| ( ( in @ SV1215 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV496 @ ( sK190_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV496 @ ( sK308_SY581 @ SV496 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6713]) ).
thf(6810,plain,
! [SV498: $i,SV1: $i,SV1216: $i,SV1156: $i] :
( ( ( in @ SV1156 @ SV1216 )
= $false )
| ( ( in @ SV1156 @ SV1 )
= $true )
| ( ( in @ SV1216 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK309_SY582 @ SV498 @ SV1 ) @ ( sK191_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6714]) ).
thf(6811,plain,
! [SV498: $i,SV1: $i,SV1217: $i,SV1157: $i] :
( ( ( in @ SV1157 @ SV1217 )
= $false )
| ( ( in @ SV1157 @ SV1 )
= $true )
| ( ( in @ SV1217 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( SV498
= ( sK309_SY582 @ SV498 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6715]) ).
thf(6812,plain,
! [SV498: $i,SV1: $i,SV1218: $i,SV1158: $i] :
( ( ( in @ SV1158 @ SV1218 )
= $false )
| ( ( in @ SV1158 @ SV1 )
= $true )
| ( ( in @ SV1218 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK134_SY7 @ SV1 ) @ ( sK134_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV498 @ ( sK191_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV498 @ ( sK309_SY582 @ SV498 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6716]) ).
thf(6813,plain,
! [SV574: $i,SV1: $i,SV1297: $i,SV1219: $i] :
( ( ( ~ ( in @ SV1219 @ SV1297 ) )
= $true )
| ( ( in @ SV1219 @ SV1 )
= $true )
| ( ( in @ SV1297 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK324_SY633 @ SV574 @ SV1 ) @ ( sK208_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6717]) ).
thf(6814,plain,
! [SV574: $i,SV1: $i,SV1298: $i,SV1220: $i] :
( ( ( ~ ( in @ SV1220 @ SV1298 ) )
= $true )
| ( ( in @ SV1220 @ SV1 )
= $true )
| ( ( in @ SV1298 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( SV574
= ( sK324_SY633 @ SV574 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6718]) ).
thf(6815,plain,
! [SV574: $i,SV1: $i,SV1299: $i,SV1221: $i] :
( ( ( ~ ( in @ SV1221 @ SV1299 ) )
= $true )
| ( ( in @ SV1221 @ SV1 )
= $true )
| ( ( in @ SV1299 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK324_SY633 @ SV574 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6719]) ).
thf(6816,plain,
! [SV576: $i,SV1: $i,SV1300: $i,SV1222: $i] :
( ( ( ~ ( in @ SV1222 @ SV1300 ) )
= $true )
| ( ( in @ SV1222 @ SV1 )
= $true )
| ( ( in @ SV1300 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK325_SY634 @ SV576 @ SV1 ) @ ( sK209_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6720]) ).
thf(6817,plain,
! [SV576: $i,SV1: $i,SV1301: $i,SV1223: $i] :
( ( ( ~ ( in @ SV1223 @ SV1301 ) )
= $true )
| ( ( in @ SV1223 @ SV1 )
= $true )
| ( ( in @ SV1301 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( SV576
= ( sK325_SY634 @ SV576 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6721]) ).
thf(6818,plain,
! [SV576: $i,SV1: $i,SV1302: $i,SV1224: $i] :
( ( ( ~ ( in @ SV1224 @ SV1302 ) )
= $true )
| ( ( in @ SV1224 @ SV1 )
= $true )
| ( ( in @ SV1302 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK325_SY634 @ SV576 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6722]) ).
thf(6819,plain,
! [SV578: $i,SV1: $i,SV1303: $i,SV1225: $i] :
( ( ( ~ ( in @ SV1225 @ SV1303 ) )
= $true )
| ( ( in @ SV1225 @ SV1 )
= $true )
| ( ( in @ SV1303 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK326_SY635 @ SV578 @ SV1 ) @ ( sK210_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6723]) ).
thf(6820,plain,
! [SV578: $i,SV1: $i,SV1304: $i,SV1226: $i] :
( ( ( ~ ( in @ SV1226 @ SV1304 ) )
= $true )
| ( ( in @ SV1226 @ SV1 )
= $true )
| ( ( in @ SV1304 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( SV578
= ( sK326_SY635 @ SV578 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6724]) ).
thf(6821,plain,
! [SV578: $i,SV1: $i,SV1305: $i,SV1227: $i] :
( ( ( ~ ( in @ SV1227 @ SV1305 ) )
= $true )
| ( ( in @ SV1227 @ SV1 )
= $true )
| ( ( in @ SV1305 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK326_SY635 @ SV578 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6725]) ).
thf(6822,plain,
! [SV580: $i,SV1: $i,SV1306: $i,SV1228: $i] :
( ( ( ~ ( in @ SV1228 @ SV1306 ) )
= $true )
| ( ( in @ SV1228 @ SV1 )
= $true )
| ( ( in @ SV1306 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK327_SY636 @ SV580 @ SV1 ) @ ( sK211_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6726]) ).
thf(6823,plain,
! [SV580: $i,SV1: $i,SV1307: $i,SV1229: $i] :
( ( ( ~ ( in @ SV1229 @ SV1307 ) )
= $true )
| ( ( in @ SV1229 @ SV1 )
= $true )
| ( ( in @ SV1307 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( SV580
= ( sK327_SY636 @ SV580 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6727]) ).
thf(6824,plain,
! [SV580: $i,SV1: $i,SV1308: $i,SV1230: $i] :
( ( ( ~ ( in @ SV1230 @ SV1308 ) )
= $true )
| ( ( in @ SV1230 @ SV1 )
= $true )
| ( ( in @ SV1308 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK327_SY636 @ SV580 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6728]) ).
thf(6825,plain,
! [SV504: $i,SV1: $i,SV1231: $i,SV1159: $i] :
( ( ( in @ SV1159 @ SV1231 )
= $false )
| ( ( in @ SV1159 @ SV1 )
= $true )
| ( ( in @ SV1231 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK310_SY587 @ SV504 @ SV1 ) @ ( sK192_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6729]) ).
thf(6826,plain,
! [SV504: $i,SV1: $i,SV1232: $i,SV1160: $i] :
( ( ( in @ SV1160 @ SV1232 )
= $false )
| ( ( in @ SV1160 @ SV1 )
= $true )
| ( ( in @ SV1232 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( SV504
= ( sK310_SY587 @ SV504 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6730]) ).
thf(6827,plain,
! [SV504: $i,SV1: $i,SV1233: $i,SV1161: $i] :
( ( ( in @ SV1161 @ SV1233 )
= $false )
| ( ( in @ SV1161 @ SV1 )
= $true )
| ( ( in @ SV1233 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK192_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV504 @ ( sK310_SY587 @ SV504 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6731]) ).
thf(6828,plain,
! [SV506: $i,SV1: $i,SV1234: $i,SV1162: $i] :
( ( ( in @ SV1162 @ SV1234 )
= $false )
| ( ( in @ SV1162 @ SV1 )
= $true )
| ( ( in @ SV1234 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK311_SY588 @ SV506 @ SV1 ) @ ( sK193_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6732]) ).
thf(6829,plain,
! [SV506: $i,SV1: $i,SV1235: $i,SV1163: $i] :
( ( ( in @ SV1163 @ SV1235 )
= $false )
| ( ( in @ SV1163 @ SV1 )
= $true )
| ( ( in @ SV1235 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( SV506
= ( sK311_SY588 @ SV506 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6733]) ).
thf(6830,plain,
! [SV506: $i,SV1: $i,SV1236: $i,SV1164: $i] :
( ( ( in @ SV1164 @ SV1236 )
= $false )
| ( ( in @ SV1164 @ SV1 )
= $true )
| ( ( in @ SV1236 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK135_SY7 @ SV1 ) @ ( sK135_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK69_SY42 @ SV1 ) @ ( sK46_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK193_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV506 @ ( sK311_SY588 @ SV506 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6734]) ).
thf(6831,plain,
! [SV516: $i,SV1: $i,SV1237: $i,SV1165: $i] :
( ( ( in @ SV1165 @ SV1237 )
= $false )
| ( ( in @ SV1165 @ SV1 )
= $true )
| ( ( in @ SV1237 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK312_SY589 @ SV516 @ SV1 ) @ ( sK196_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6735]) ).
thf(6832,plain,
! [SV516: $i,SV1: $i,SV1238: $i,SV1166: $i] :
( ( ( in @ SV1166 @ SV1238 )
= $false )
| ( ( in @ SV1166 @ SV1 )
= $true )
| ( ( in @ SV1238 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( SV516
= ( sK312_SY589 @ SV516 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6736]) ).
thf(6833,plain,
! [SV516: $i,SV1: $i,SV1239: $i,SV1167: $i] :
( ( ( in @ SV1167 @ SV1239 )
= $false )
| ( ( in @ SV1167 @ SV1 )
= $true )
| ( ( in @ SV1239 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV516 @ ( sK196_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV516 @ ( sK312_SY589 @ SV516 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6737]) ).
thf(6834,plain,
! [SV518: $i,SV1: $i,SV1240: $i,SV1168: $i] :
( ( ( in @ SV1168 @ SV1240 )
= $false )
| ( ( in @ SV1168 @ SV1 )
= $true )
| ( ( in @ SV1240 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK313_SY590 @ SV518 @ SV1 ) @ ( sK197_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6738]) ).
thf(6835,plain,
! [SV518: $i,SV1: $i,SV1241: $i,SV1169: $i] :
( ( ( in @ SV1169 @ SV1241 )
= $false )
| ( ( in @ SV1169 @ SV1 )
= $true )
| ( ( in @ SV1241 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( SV518
= ( sK313_SY590 @ SV518 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6739]) ).
thf(6836,plain,
! [SV518: $i,SV1: $i,SV1242: $i,SV1170: $i] :
( ( ( in @ SV1170 @ SV1242 )
= $false )
| ( ( in @ SV1170 @ SV1 )
= $true )
| ( ( in @ SV1242 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK144_SY7 @ SV1 ) @ ( sK144_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV518 @ ( sK197_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV518 @ ( sK313_SY590 @ SV518 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6740]) ).
thf(6837,plain,
! [SV604: $i,SV1: $i,SV1309: $i,SV1243: $i] :
( ( ( ~ ( in @ SV1243 @ SV1309 ) )
= $true )
| ( ( in @ SV1243 @ SV1 )
= $true )
| ( ( in @ SV1309 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK328_SY659 @ SV604 @ SV1 ) @ ( sK212_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6741]) ).
thf(6838,plain,
! [SV604: $i,SV1: $i,SV1310: $i,SV1244: $i] :
( ( ( ~ ( in @ SV1244 @ SV1310 ) )
= $true )
| ( ( in @ SV1244 @ SV1 )
= $true )
| ( ( in @ SV1310 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( SV604
= ( sK328_SY659 @ SV604 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6742]) ).
thf(6839,plain,
! [SV604: $i,SV1: $i,SV1311: $i,SV1245: $i] :
( ( ( ~ ( in @ SV1245 @ SV1311 ) )
= $true )
| ( ( in @ SV1245 @ SV1 )
= $true )
| ( ( in @ SV1311 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK328_SY659 @ SV604 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6743]) ).
thf(6840,plain,
! [SV606: $i,SV1: $i,SV1312: $i,SV1246: $i] :
( ( ( ~ ( in @ SV1246 @ SV1312 ) )
= $true )
| ( ( in @ SV1246 @ SV1 )
= $true )
| ( ( in @ SV1312 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK329_SY660 @ SV606 @ SV1 ) @ ( sK213_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6744]) ).
thf(6841,plain,
! [SV606: $i,SV1: $i,SV1313: $i,SV1247: $i] :
( ( ( ~ ( in @ SV1247 @ SV1313 ) )
= $true )
| ( ( in @ SV1247 @ SV1 )
= $true )
| ( ( in @ SV1313 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( SV606
= ( sK329_SY660 @ SV606 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6745]) ).
thf(6842,plain,
! [SV606: $i,SV1: $i,SV1314: $i,SV1248: $i] :
( ( ( ~ ( in @ SV1248 @ SV1314 ) )
= $true )
| ( ( in @ SV1248 @ SV1 )
= $true )
| ( ( in @ SV1314 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK329_SY660 @ SV606 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6746]) ).
thf(6843,plain,
! [SV608: $i,SV1: $i,SV1315: $i,SV1249: $i] :
( ( ( ~ ( in @ SV1249 @ SV1315 ) )
= $true )
| ( ( in @ SV1249 @ SV1 )
= $true )
| ( ( in @ SV1315 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK330_SY661 @ SV608 @ SV1 ) @ ( sK214_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6747]) ).
thf(6844,plain,
! [SV608: $i,SV1: $i,SV1316: $i,SV1250: $i] :
( ( ( ~ ( in @ SV1250 @ SV1316 ) )
= $true )
| ( ( in @ SV1250 @ SV1 )
= $true )
| ( ( in @ SV1316 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( SV608
= ( sK330_SY661 @ SV608 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6748]) ).
thf(6845,plain,
! [SV608: $i,SV1: $i,SV1317: $i,SV1251: $i] :
( ( ( ~ ( in @ SV1251 @ SV1317 ) )
= $true )
| ( ( in @ SV1251 @ SV1 )
= $true )
| ( ( in @ SV1317 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK330_SY661 @ SV608 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6749]) ).
thf(6846,plain,
! [SV610: $i,SV1: $i,SV1318: $i,SV1252: $i] :
( ( ( ~ ( in @ SV1252 @ SV1318 ) )
= $true )
| ( ( in @ SV1252 @ SV1 )
= $true )
| ( ( in @ SV1318 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK331_SY662 @ SV610 @ SV1 ) @ ( sK215_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6750]) ).
thf(6847,plain,
! [SV610: $i,SV1: $i,SV1319: $i,SV1253: $i] :
( ( ( ~ ( in @ SV1253 @ SV1319 ) )
= $true )
| ( ( in @ SV1253 @ SV1 )
= $true )
| ( ( in @ SV1319 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( SV610
= ( sK331_SY662 @ SV610 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6751]) ).
thf(6848,plain,
! [SV610: $i,SV1: $i,SV1320: $i,SV1254: $i] :
( ( ( ~ ( in @ SV1254 @ SV1320 ) )
= $true )
| ( ( in @ SV1254 @ SV1 )
= $true )
| ( ( in @ SV1320 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK331_SY662 @ SV610 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6752]) ).
thf(6849,plain,
! [SV524: $i,SV1: $i,SV1255: $i,SV1171: $i] :
( ( ( in @ SV1171 @ SV1255 )
= $false )
| ( ( in @ SV1171 @ SV1 )
= $true )
| ( ( in @ SV1255 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK314_SY595 @ SV524 @ SV1 ) @ ( sK198_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6753]) ).
thf(6850,plain,
! [SV524: $i,SV1: $i,SV1256: $i,SV1172: $i] :
( ( ( in @ SV1172 @ SV1256 )
= $false )
| ( ( in @ SV1172 @ SV1 )
= $true )
| ( ( in @ SV1256 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( SV524
= ( sK314_SY595 @ SV524 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6754]) ).
thf(6851,plain,
! [SV524: $i,SV1: $i,SV1257: $i,SV1173: $i] :
( ( ( in @ SV1173 @ SV1257 )
= $false )
| ( ( in @ SV1173 @ SV1 )
= $true )
| ( ( in @ SV1257 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK198_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV524 @ ( sK314_SY595 @ SV524 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6755]) ).
thf(6852,plain,
! [SV526: $i,SV1: $i,SV1258: $i,SV1174: $i] :
( ( ( in @ SV1174 @ SV1258 )
= $false )
| ( ( in @ SV1174 @ SV1 )
= $true )
| ( ( in @ SV1258 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK315_SY596 @ SV526 @ SV1 ) @ ( sK199_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6756]) ).
thf(6853,plain,
! [SV526: $i,SV1: $i,SV1259: $i,SV1175: $i] :
( ( ( in @ SV1175 @ SV1259 )
= $false )
| ( ( in @ SV1175 @ SV1 )
= $true )
| ( ( in @ SV1259 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( SV526
= ( sK315_SY596 @ SV526 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6757]) ).
thf(6854,plain,
! [SV526: $i,SV1: $i,SV1260: $i,SV1176: $i] :
( ( ( in @ SV1176 @ SV1260 )
= $false )
| ( ( in @ SV1176 @ SV1 )
= $true )
| ( ( in @ SV1260 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK145_SY7 @ SV1 ) @ ( sK145_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK80_SY47 @ SV1 ) @ ( sK53_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK199_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV526 @ ( sK315_SY596 @ SV526 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6758]) ).
thf(6855,plain,
! [SV530: $i,SV1: $i,SV1261: $i,SV1177: $i] :
( ( ( in @ SV1177 @ SV1261 )
= $false )
| ( ( in @ SV1177 @ SV1 )
= $true )
| ( ( in @ SV1261 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK316_SY597 @ SV530 @ SV1 ) @ ( sK200_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6759]) ).
thf(6856,plain,
! [SV530: $i,SV1: $i,SV1262: $i,SV1178: $i] :
( ( ( in @ SV1178 @ SV1262 )
= $false )
| ( ( in @ SV1178 @ SV1 )
= $true )
| ( ( in @ SV1262 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( SV530
= ( sK316_SY597 @ SV530 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6760]) ).
thf(6857,plain,
! [SV530: $i,SV1: $i,SV1263: $i,SV1179: $i] :
( ( ( in @ SV1179 @ SV1263 )
= $false )
| ( ( in @ SV1179 @ SV1 )
= $true )
| ( ( in @ SV1263 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV530 @ ( sK200_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV530 @ ( sK316_SY597 @ SV530 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6761]) ).
thf(6858,plain,
! [SV532: $i,SV1: $i,SV1264: $i,SV1180: $i] :
( ( ( in @ SV1180 @ SV1264 )
= $false )
| ( ( in @ SV1180 @ SV1 )
= $true )
| ( ( in @ SV1264 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK317_SY598 @ SV532 @ SV1 ) @ ( sK201_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6762]) ).
thf(6859,plain,
! [SV532: $i,SV1: $i,SV1265: $i,SV1181: $i] :
( ( ( in @ SV1181 @ SV1265 )
= $false )
| ( ( in @ SV1181 @ SV1 )
= $true )
| ( ( in @ SV1265 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( SV532
= ( sK317_SY598 @ SV532 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6763]) ).
thf(6860,plain,
! [SV532: $i,SV1: $i,SV1266: $i,SV1182: $i] :
( ( ( in @ SV1182 @ SV1266 )
= $false )
| ( ( in @ SV1182 @ SV1 )
= $true )
| ( ( in @ SV1266 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK146_SY7 @ SV1 ) @ ( sK146_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ SV532 @ ( sK201_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV532 @ ( sK317_SY598 @ SV532 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6764]) ).
thf(6861,plain,
! [SV616: $i,SV1: $i,SV1321: $i,SV1267: $i] :
( ( ( ~ ( in @ SV1267 @ SV1321 ) )
= $true )
| ( ( in @ SV1267 @ SV1 )
= $true )
| ( ( in @ SV1321 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK332_SY667 @ SV616 @ SV1 ) @ ( sK216_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6765]) ).
thf(6862,plain,
! [SV616: $i,SV1: $i,SV1322: $i,SV1268: $i] :
( ( ( ~ ( in @ SV1268 @ SV1322 ) )
= $true )
| ( ( in @ SV1268 @ SV1 )
= $true )
| ( ( in @ SV1322 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( SV616
= ( sK332_SY667 @ SV616 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6766]) ).
thf(6863,plain,
! [SV616: $i,SV1: $i,SV1323: $i,SV1269: $i] :
( ( ( ~ ( in @ SV1269 @ SV1323 ) )
= $true )
| ( ( in @ SV1269 @ SV1 )
= $true )
| ( ( in @ SV1323 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK332_SY667 @ SV616 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6767]) ).
thf(6864,plain,
! [SV618: $i,SV1: $i,SV1324: $i,SV1270: $i] :
( ( ( ~ ( in @ SV1270 @ SV1324 ) )
= $true )
| ( ( in @ SV1270 @ SV1 )
= $true )
| ( ( in @ SV1324 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK333_SY668 @ SV618 @ SV1 ) @ ( sK217_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6768]) ).
thf(6865,plain,
! [SV618: $i,SV1: $i,SV1325: $i,SV1271: $i] :
( ( ( ~ ( in @ SV1271 @ SV1325 ) )
= $true )
| ( ( in @ SV1271 @ SV1 )
= $true )
| ( ( in @ SV1325 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( SV618
= ( sK333_SY668 @ SV618 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6769]) ).
thf(6866,plain,
! [SV618: $i,SV1: $i,SV1326: $i,SV1272: $i] :
( ( ( ~ ( in @ SV1272 @ SV1326 ) )
= $true )
| ( ( in @ SV1272 @ SV1 )
= $true )
| ( ( in @ SV1326 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK333_SY668 @ SV618 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6770]) ).
thf(6867,plain,
! [SV620: $i,SV1: $i,SV1327: $i,SV1273: $i] :
( ( ( ~ ( in @ SV1273 @ SV1327 ) )
= $true )
| ( ( in @ SV1273 @ SV1 )
= $true )
| ( ( in @ SV1327 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK334_SY669 @ SV620 @ SV1 ) @ ( sK218_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6771]) ).
thf(6868,plain,
! [SV620: $i,SV1: $i,SV1328: $i,SV1274: $i] :
( ( ( ~ ( in @ SV1274 @ SV1328 ) )
= $true )
| ( ( in @ SV1274 @ SV1 )
= $true )
| ( ( in @ SV1328 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( SV620
= ( sK334_SY669 @ SV620 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6772]) ).
thf(6869,plain,
! [SV620: $i,SV1: $i,SV1329: $i,SV1275: $i] :
( ( ( ~ ( in @ SV1275 @ SV1329 ) )
= $true )
| ( ( in @ SV1275 @ SV1 )
= $true )
| ( ( in @ SV1329 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK334_SY669 @ SV620 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6773]) ).
thf(6870,plain,
! [SV622: $i,SV1: $i,SV1330: $i,SV1276: $i] :
( ( ( ~ ( in @ SV1276 @ SV1330 ) )
= $true )
| ( ( in @ SV1276 @ SV1 )
= $true )
| ( ( in @ SV1330 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK335_SY670 @ SV622 @ SV1 ) @ ( sK219_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6774]) ).
thf(6871,plain,
! [SV622: $i,SV1: $i,SV1331: $i,SV1277: $i] :
( ( ( ~ ( in @ SV1277 @ SV1331 ) )
= $true )
| ( ( in @ SV1277 @ SV1 )
= $true )
| ( ( in @ SV1331 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( SV622
= ( sK335_SY670 @ SV622 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6775]) ).
thf(6872,plain,
! [SV622: $i,SV1: $i,SV1332: $i,SV1278: $i] :
( ( ( ~ ( in @ SV1278 @ SV1332 ) )
= $true )
| ( ( in @ SV1278 @ SV1 )
= $true )
| ( ( in @ SV1332 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK335_SY670 @ SV622 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6776]) ).
thf(6873,plain,
! [SV538: $i,SV1: $i,SV1279: $i,SV1183: $i] :
( ( ( in @ SV1183 @ SV1279 )
= $false )
| ( ( in @ SV1183 @ SV1 )
= $true )
| ( ( in @ SV1279 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK318_SY603 @ SV538 @ SV1 ) @ ( sK202_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6777]) ).
thf(6874,plain,
! [SV538: $i,SV1: $i,SV1280: $i,SV1184: $i] :
( ( ( in @ SV1184 @ SV1280 )
= $false )
| ( ( in @ SV1184 @ SV1 )
= $true )
| ( ( in @ SV1280 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( SV538
= ( sK318_SY603 @ SV538 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6778]) ).
thf(6875,plain,
! [SV538: $i,SV1: $i,SV1281: $i,SV1185: $i] :
( ( ( in @ SV1185 @ SV1281 )
= $false )
| ( ( in @ SV1185 @ SV1 )
= $true )
| ( ( in @ SV1281 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK202_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV538 @ ( sK318_SY603 @ SV538 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6779]) ).
thf(6876,plain,
! [SV540: $i,SV1: $i,SV1282: $i,SV1186: $i] :
( ( ( in @ SV1186 @ SV1282 )
= $false )
| ( ( in @ SV1186 @ SV1 )
= $true )
| ( ( in @ SV1282 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK319_SY604 @ SV540 @ SV1 ) @ ( sK203_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6780]) ).
thf(6877,plain,
! [SV540: $i,SV1: $i,SV1283: $i,SV1187: $i] :
( ( ( in @ SV1187 @ SV1283 )
= $false )
| ( ( in @ SV1187 @ SV1 )
= $true )
| ( ( in @ SV1283 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( SV540
= ( sK319_SY604 @ SV540 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6781]) ).
thf(6878,plain,
! [SV540: $i,SV1: $i,SV1284: $i,SV1188: $i] :
( ( ( in @ SV1188 @ SV1284 )
= $false )
| ( ( in @ SV1188 @ SV1 )
= $true )
| ( ( in @ SV1284 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK147_SY7 @ SV1 ) @ ( sK147_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK81_SY48 @ SV1 ) @ ( sK54_SY5 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK203_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV540 @ ( sK319_SY604 @ SV540 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6782]) ).
thf(6879,plain,
! [SV562: $i,SV1: $i,SV1285: $i,SV1195: $i] :
( ( ( in @ SV1195 @ SV1285 )
= $false )
| ( ( in @ SV1195 @ SV1 )
= $true )
| ( ( in @ SV1285 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK320_SY625 @ SV562 @ SV1 ) @ ( sK204_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6789]) ).
thf(6880,plain,
! [SV562: $i,SV1: $i,SV1286: $i,SV1196: $i] :
( ( ( in @ SV1196 @ SV1286 )
= $false )
| ( ( in @ SV1196 @ SV1 )
= $true )
| ( ( in @ SV1286 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( SV562
= ( sK320_SY625 @ SV562 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6790]) ).
thf(6881,plain,
! [SV562: $i,SV1: $i,SV1287: $i,SV1197: $i] :
( ( ( in @ SV1197 @ SV1287 )
= $false )
| ( ( in @ SV1197 @ SV1 )
= $true )
| ( ( in @ SV1287 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK204_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV562 @ ( sK320_SY625 @ SV562 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6791]) ).
thf(6882,plain,
! [SV564: $i,SV1: $i,SV1288: $i,SV1198: $i] :
( ( ( in @ SV1198 @ SV1288 )
= $false )
| ( ( in @ SV1198 @ SV1 )
= $true )
| ( ( in @ SV1288 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK321_SY626 @ SV564 @ SV1 ) @ ( sK205_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6792]) ).
thf(6883,plain,
! [SV564: $i,SV1: $i,SV1289: $i,SV1199: $i] :
( ( ( in @ SV1199 @ SV1289 )
= $false )
| ( ( in @ SV1199 @ SV1 )
= $true )
| ( ( in @ SV1289 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( SV564
= ( sK321_SY626 @ SV564 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6793]) ).
thf(6884,plain,
! [SV564: $i,SV1: $i,SV1290: $i,SV1200: $i] :
( ( ( in @ SV1200 @ SV1290 )
= $false )
| ( ( in @ SV1200 @ SV1 )
= $true )
| ( ( in @ SV1290 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK156_SY7 @ SV1 ) @ ( sK156_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( ( sK45_SY5 @ SV1 )
= ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK205_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV564 @ ( sK321_SY626 @ SV564 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6794]) ).
thf(6885,plain,
! [SV566: $i,SV1: $i,SV1291: $i,SV1201: $i] :
( ( ( in @ SV1201 @ SV1291 )
= $false )
| ( ( in @ SV1201 @ SV1 )
= $true )
| ( ( in @ SV1291 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK322_SY627 @ SV566 @ SV1 ) @ ( sK206_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6795]) ).
thf(6886,plain,
! [SV566: $i,SV1: $i,SV1292: $i,SV1202: $i] :
( ( ( in @ SV1202 @ SV1292 )
= $false )
| ( ( in @ SV1202 @ SV1 )
= $true )
| ( ( in @ SV1292 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( SV566
= ( sK322_SY627 @ SV566 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6796]) ).
thf(6887,plain,
! [SV566: $i,SV1: $i,SV1293: $i,SV1203: $i] :
( ( ( in @ SV1203 @ SV1293 )
= $false )
| ( ( in @ SV1203 @ SV1 )
= $true )
| ( ( in @ SV1293 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK206_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV566 @ ( sK322_SY627 @ SV566 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6797]) ).
thf(6888,plain,
! [SV568: $i,SV1: $i,SV1294: $i,SV1204: $i] :
( ( ( in @ SV1204 @ SV1294 )
= $false )
| ( ( in @ SV1204 @ SV1 )
= $true )
| ( ( in @ SV1294 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK323_SY628 @ SV568 @ SV1 ) @ ( sK207_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6798]) ).
thf(6889,plain,
! [SV568: $i,SV1: $i,SV1295: $i,SV1205: $i] :
( ( ( in @ SV1205 @ SV1295 )
= $false )
| ( ( in @ SV1205 @ SV1 )
= $true )
| ( ( in @ SV1295 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( SV568
= ( sK323_SY628 @ SV568 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6799]) ).
thf(6890,plain,
! [SV568: $i,SV1: $i,SV1296: $i,SV1206: $i] :
( ( ( in @ SV1206 @ SV1296 )
= $false )
| ( ( in @ SV1206 @ SV1 )
= $true )
| ( ( in @ SV1296 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK157_SY7 @ SV1 ) @ ( sK157_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK6_SY2 @ SV1 ) @ ( sK8_SY22 @ SV1 ) )
= $true )
| ( ( in @ ( sK45_SY5 @ SV1 ) @ ( sK68_SY41 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK207_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV568 @ ( sK323_SY628 @ SV568 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6800]) ).
thf(6891,plain,
! [SV574: $i,SV1: $i,SV1297: $i,SV1219: $i] :
( ( ( in @ SV1219 @ SV1297 )
= $false )
| ( ( in @ SV1219 @ SV1 )
= $true )
| ( ( in @ SV1297 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK324_SY633 @ SV574 @ SV1 ) @ ( sK208_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6813]) ).
thf(6892,plain,
! [SV574: $i,SV1: $i,SV1298: $i,SV1220: $i] :
( ( ( in @ SV1220 @ SV1298 )
= $false )
| ( ( in @ SV1220 @ SV1 )
= $true )
| ( ( in @ SV1298 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( SV574
= ( sK324_SY633 @ SV574 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6814]) ).
thf(6893,plain,
! [SV574: $i,SV1: $i,SV1299: $i,SV1221: $i] :
( ( ( in @ SV1221 @ SV1299 )
= $false )
| ( ( in @ SV1221 @ SV1 )
= $true )
| ( ( in @ SV1299 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK208_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV574 @ ( sK324_SY633 @ SV574 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6815]) ).
thf(6894,plain,
! [SV576: $i,SV1: $i,SV1300: $i,SV1222: $i] :
( ( ( in @ SV1222 @ SV1300 )
= $false )
| ( ( in @ SV1222 @ SV1 )
= $true )
| ( ( in @ SV1300 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK325_SY634 @ SV576 @ SV1 ) @ ( sK209_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6816]) ).
thf(6895,plain,
! [SV576: $i,SV1: $i,SV1301: $i,SV1223: $i] :
( ( ( in @ SV1223 @ SV1301 )
= $false )
| ( ( in @ SV1223 @ SV1 )
= $true )
| ( ( in @ SV1301 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( SV576
= ( sK325_SY634 @ SV576 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6817]) ).
thf(6896,plain,
! [SV576: $i,SV1: $i,SV1302: $i,SV1224: $i] :
( ( ( in @ SV1224 @ SV1302 )
= $false )
| ( ( in @ SV1224 @ SV1 )
= $true )
| ( ( in @ SV1302 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK158_SY7 @ SV1 ) @ ( sK158_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( ( sK46_SY5 @ SV1 )
= ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK209_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV576 @ ( sK325_SY634 @ SV576 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6818]) ).
thf(6897,plain,
! [SV578: $i,SV1: $i,SV1303: $i,SV1225: $i] :
( ( ( in @ SV1225 @ SV1303 )
= $false )
| ( ( in @ SV1225 @ SV1 )
= $true )
| ( ( in @ SV1303 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK326_SY635 @ SV578 @ SV1 ) @ ( sK210_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6819]) ).
thf(6898,plain,
! [SV578: $i,SV1: $i,SV1304: $i,SV1226: $i] :
( ( ( in @ SV1226 @ SV1304 )
= $false )
| ( ( in @ SV1226 @ SV1 )
= $true )
| ( ( in @ SV1304 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( SV578
= ( sK326_SY635 @ SV578 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6820]) ).
thf(6899,plain,
! [SV578: $i,SV1: $i,SV1305: $i,SV1227: $i] :
( ( ( in @ SV1227 @ SV1305 )
= $false )
| ( ( in @ SV1227 @ SV1 )
= $true )
| ( ( in @ SV1305 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK210_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV578 @ ( sK326_SY635 @ SV578 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6821]) ).
thf(6900,plain,
! [SV580: $i,SV1: $i,SV1306: $i,SV1228: $i] :
( ( ( in @ SV1228 @ SV1306 )
= $false )
| ( ( in @ SV1228 @ SV1 )
= $true )
| ( ( in @ SV1306 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK327_SY636 @ SV580 @ SV1 ) @ ( sK211_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6822]) ).
thf(6901,plain,
! [SV580: $i,SV1: $i,SV1307: $i,SV1229: $i] :
( ( ( in @ SV1229 @ SV1307 )
= $false )
| ( ( in @ SV1229 @ SV1 )
= $true )
| ( ( in @ SV1307 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( SV580
= ( sK327_SY636 @ SV580 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6823]) ).
thf(6902,plain,
! [SV580: $i,SV1: $i,SV1308: $i,SV1230: $i] :
( ( ( in @ SV1230 @ SV1308 )
= $false )
| ( ( in @ SV1230 @ SV1 )
= $true )
| ( ( in @ SV1308 @ SV1 )
= $false )
| ( ( subset @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $false )
| ( ( in @ ( sK159_SY7 @ SV1 ) @ ( sK159_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK8_SY22 @ SV1 ) @ ( sK11_SY27 @ SV1 ) )
= $true )
| ( ( in @ ( sK46_SY5 @ SV1 ) @ ( sK69_SY42 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK211_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV580 @ ( sK327_SY636 @ SV580 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6824]) ).
thf(6903,plain,
! [SV604: $i,SV1: $i,SV1309: $i,SV1243: $i] :
( ( ( in @ SV1243 @ SV1309 )
= $false )
| ( ( in @ SV1243 @ SV1 )
= $true )
| ( ( in @ SV1309 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK328_SY659 @ SV604 @ SV1 ) @ ( sK212_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6837]) ).
thf(6904,plain,
! [SV604: $i,SV1: $i,SV1310: $i,SV1244: $i] :
( ( ( in @ SV1244 @ SV1310 )
= $false )
| ( ( in @ SV1244 @ SV1 )
= $true )
| ( ( in @ SV1310 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( SV604
= ( sK328_SY659 @ SV604 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6838]) ).
thf(6905,plain,
! [SV604: $i,SV1: $i,SV1311: $i,SV1245: $i] :
( ( ( in @ SV1245 @ SV1311 )
= $false )
| ( ( in @ SV1245 @ SV1 )
= $true )
| ( ( in @ SV1311 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK212_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV604 @ ( sK328_SY659 @ SV604 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6839]) ).
thf(6906,plain,
! [SV606: $i,SV1: $i,SV1312: $i,SV1246: $i] :
( ( ( in @ SV1246 @ SV1312 )
= $false )
| ( ( in @ SV1246 @ SV1 )
= $true )
| ( ( in @ SV1312 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK329_SY660 @ SV606 @ SV1 ) @ ( sK213_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6840]) ).
thf(6907,plain,
! [SV606: $i,SV1: $i,SV1313: $i,SV1247: $i] :
( ( ( in @ SV1247 @ SV1313 )
= $false )
| ( ( in @ SV1247 @ SV1 )
= $true )
| ( ( in @ SV1313 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( SV606
= ( sK329_SY660 @ SV606 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6841]) ).
thf(6908,plain,
! [SV606: $i,SV1: $i,SV1314: $i,SV1248: $i] :
( ( ( in @ SV1248 @ SV1314 )
= $false )
| ( ( in @ SV1248 @ SV1 )
= $true )
| ( ( in @ SV1314 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK168_SY7 @ SV1 ) @ ( sK168_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( ( sK53_SY5 @ SV1 )
= ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK213_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV606 @ ( sK329_SY660 @ SV606 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6842]) ).
thf(6909,plain,
! [SV608: $i,SV1: $i,SV1315: $i,SV1249: $i] :
( ( ( in @ SV1249 @ SV1315 )
= $false )
| ( ( in @ SV1249 @ SV1 )
= $true )
| ( ( in @ SV1315 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK330_SY661 @ SV608 @ SV1 ) @ ( sK214_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6843]) ).
thf(6910,plain,
! [SV608: $i,SV1: $i,SV1316: $i,SV1250: $i] :
( ( ( in @ SV1250 @ SV1316 )
= $false )
| ( ( in @ SV1250 @ SV1 )
= $true )
| ( ( in @ SV1316 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( SV608
= ( sK330_SY661 @ SV608 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6844]) ).
thf(6911,plain,
! [SV608: $i,SV1: $i,SV1317: $i,SV1251: $i] :
( ( ( in @ SV1251 @ SV1317 )
= $false )
| ( ( in @ SV1251 @ SV1 )
= $true )
| ( ( in @ SV1317 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK214_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV608 @ ( sK330_SY661 @ SV608 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6845]) ).
thf(6912,plain,
! [SV610: $i,SV1: $i,SV1318: $i,SV1252: $i] :
( ( ( in @ SV1252 @ SV1318 )
= $false )
| ( ( in @ SV1252 @ SV1 )
= $true )
| ( ( in @ SV1318 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK331_SY662 @ SV610 @ SV1 ) @ ( sK215_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6846]) ).
thf(6913,plain,
! [SV610: $i,SV1: $i,SV1319: $i,SV1253: $i] :
( ( ( in @ SV1253 @ SV1319 )
= $false )
| ( ( in @ SV1253 @ SV1 )
= $true )
| ( ( in @ SV1319 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( SV610
= ( sK331_SY662 @ SV610 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6847]) ).
thf(6914,plain,
! [SV610: $i,SV1: $i,SV1320: $i,SV1254: $i] :
( ( ( in @ SV1254 @ SV1320 )
= $false )
| ( ( in @ SV1254 @ SV1 )
= $true )
| ( ( in @ SV1320 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK169_SY7 @ SV1 ) @ ( sK169_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK7_SY2 @ SV1 ) @ ( sK9_SY25 @ SV1 ) )
= $true )
| ( ( in @ ( sK53_SY5 @ SV1 ) @ ( sK80_SY47 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK215_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV610 @ ( sK331_SY662 @ SV610 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6848]) ).
thf(6915,plain,
! [SV616: $i,SV1: $i,SV1321: $i,SV1267: $i] :
( ( ( in @ SV1267 @ SV1321 )
= $false )
| ( ( in @ SV1267 @ SV1 )
= $true )
| ( ( in @ SV1321 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK332_SY667 @ SV616 @ SV1 ) @ ( sK216_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6861]) ).
thf(6916,plain,
! [SV616: $i,SV1: $i,SV1322: $i,SV1268: $i] :
( ( ( in @ SV1268 @ SV1322 )
= $false )
| ( ( in @ SV1268 @ SV1 )
= $true )
| ( ( in @ SV1322 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( SV616
= ( sK332_SY667 @ SV616 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6862]) ).
thf(6917,plain,
! [SV616: $i,SV1: $i,SV1323: $i,SV1269: $i] :
( ( ( in @ SV1269 @ SV1323 )
= $false )
| ( ( in @ SV1269 @ SV1 )
= $true )
| ( ( in @ SV1323 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK216_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV616 @ ( sK332_SY667 @ SV616 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6863]) ).
thf(6918,plain,
! [SV618: $i,SV1: $i,SV1324: $i,SV1270: $i] :
( ( ( in @ SV1270 @ SV1324 )
= $false )
| ( ( in @ SV1270 @ SV1 )
= $true )
| ( ( in @ SV1324 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK333_SY668 @ SV618 @ SV1 ) @ ( sK217_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6864]) ).
thf(6919,plain,
! [SV618: $i,SV1: $i,SV1325: $i,SV1271: $i] :
( ( ( in @ SV1271 @ SV1325 )
= $false )
| ( ( in @ SV1271 @ SV1 )
= $true )
| ( ( in @ SV1325 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( SV618
= ( sK333_SY668 @ SV618 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6865]) ).
thf(6920,plain,
! [SV618: $i,SV1: $i,SV1326: $i,SV1272: $i] :
( ( ( in @ SV1272 @ SV1326 )
= $false )
| ( ( in @ SV1272 @ SV1 )
= $true )
| ( ( in @ SV1326 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK170_SY7 @ SV1 ) @ ( sK170_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( ( sK54_SY5 @ SV1 )
= ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK217_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV618 @ ( sK333_SY668 @ SV618 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6866]) ).
thf(6921,plain,
! [SV620: $i,SV1: $i,SV1327: $i,SV1273: $i] :
( ( ( in @ SV1273 @ SV1327 )
= $false )
| ( ( in @ SV1273 @ SV1 )
= $true )
| ( ( in @ SV1327 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK334_SY669 @ SV620 @ SV1 ) @ ( sK218_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6867]) ).
thf(6922,plain,
! [SV620: $i,SV1: $i,SV1328: $i,SV1274: $i] :
( ( ( in @ SV1274 @ SV1328 )
= $false )
| ( ( in @ SV1274 @ SV1 )
= $true )
| ( ( in @ SV1328 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( SV620
= ( sK334_SY669 @ SV620 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6868]) ).
thf(6923,plain,
! [SV620: $i,SV1: $i,SV1329: $i,SV1275: $i] :
( ( ( in @ SV1275 @ SV1329 )
= $false )
| ( ( in @ SV1275 @ SV1 )
= $true )
| ( ( in @ SV1329 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK218_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV620 @ ( sK334_SY669 @ SV620 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6869]) ).
thf(6924,plain,
! [SV622: $i,SV1: $i,SV1330: $i,SV1276: $i] :
( ( ( in @ SV1276 @ SV1330 )
= $false )
| ( ( in @ SV1276 @ SV1 )
= $true )
| ( ( in @ SV1330 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ ( sK335_SY670 @ SV622 @ SV1 ) @ ( sK219_SY8 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6870]) ).
thf(6925,plain,
! [SV622: $i,SV1: $i,SV1331: $i,SV1277: $i] :
( ( ( in @ SV1277 @ SV1331 )
= $false )
| ( ( in @ SV1277 @ SV1 )
= $true )
| ( ( in @ SV1331 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( SV622
= ( sK335_SY670 @ SV622 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6871]) ).
thf(6926,plain,
! [SV622: $i,SV1: $i,SV1332: $i,SV1278: $i] :
( ( ( in @ SV1278 @ SV1332 )
= $false )
| ( ( in @ SV1278 @ SV1 )
= $true )
| ( ( in @ SV1332 @ SV1 )
= $false )
| ( ( in @ ( sK4_SY1 @ SV1 ) @ SV1 )
= $true )
| ( ( in @ ( sK171_SY7 @ SV1 ) @ ( sK171_SY7 @ SV1 ) )
= $true )
| ( ( in @ ( sK9_SY25 @ SV1 ) @ ( sK13_SY28 @ SV1 ) )
= $true )
| ( ( in @ ( sK54_SY5 @ SV1 ) @ ( sK81_SY48 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK219_SY8 @ SV1 ) )
= $false )
| ( ( in @ SV622 @ ( sK335_SY670 @ SV622 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6872]) ).
thf(6927,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[37,6926,6925,6924,6923,6922,6921,6920,6919,6918,6917,6916,6915,6914,6913,6912,6911,6910,6909,6908,6907,6906,6905,6904,6903,6902,6901,6900,6899,6898,6897,6896,6895,6894,6893,6892,6891,6890,6889,6888,6887,6886,6885,6884,6883,6882,6881,6880,6879,6878,6877,6876,6875,6874,6873,6860,6859,6858,6857,6856,6855,6854,6853,6852,6851,6850,6849,6836,6835,6834,6833,6832,6831,6830,6829,6828,6827,6826,6825,6812,6811,6810,6809,6808,6807,6806,6805,6804,6803,6802,6801,6788,6787,6786,6785,6784,6783,6662,6661,6660,6659,6658,6657,6632,6631,6630,6629,6628,6627,6602,6601,6600,6599,6598,6597,6572,6571,6570,6569,6568,6567,6566,6565,6564,6563,6562,6561,6560,6559,6558,6557,6556,6555,6494,6493,6492,6491,6490,6489,6488,6487,6486,6485,6484,6483,6482,6481,6480,6479,6478,6477,6476,6475,6474,6473,6472,6471,6410,6409,6408,6407,6406,6405,6404,6403,6402,6401,6400,6399,6398,6397,6396,6395,6394,6393,6380,6379,6378,6377,6376,6375,6314,6313,6312,6311,6310,6309,6296,6295,6294,6293,6292,6291,6290,6289,6288,6287,6286,6285,6272,6271,6270,6269,6268,6267,6206,6205,6204,6203,6202,6201,6188,6187,6186,6185,6184,6183,6074,6073,6072,6071,6070,6069,6068,6067,6066,6065,6064,6063,5954,5953,5952,5951,5950,5949,5948,5947,5946,5945,5944,5943,5918,5917,5916,5915,5914,5913,5836,5835,5834,5833,5832,5831,5830,5829,5828,5827,5826,5825,5812,5811,5810,5809,5808,5807,5782,5781,5780,5779,5778,5777,5700,5699,5698,5697,5696,5695,5694,5693,5692,5691,5690,5689,5676,5675,5674,5673,5672,5671,5635,5633,5631,5629,5613,5611,5609,5607,5542,5541,5540,5539,5538,5537,5536,5535,5534,5533,5532,5531,5495,5493,5491,5489,5473,5471,5469,5467,5402,5401,5400,5399,5398,5397,5396,5395,5394,5393,5392,5391,5359,5357,5347,5345,5337,5335,5325,5323,5262,5261,5260,5259,5258,5257,5256,5255,5254,5253,5252,5251,5238,5237,5236,5235,5234,5233,5201,5199,5189,5187,5179,5177,5167,5165,5104,5103,5102,5101,5100,5099,5098,5097,5096,5095,5094,5093,5080,5079,5078,5077,5076,5075,5038,5035,5032,5029,5014,5011,5008,5005,4876,4873,4870,4867,4852,4849,4846,4843,4722,4719,4704,4701,4699,4697,4694,4691,4676,4673,4671,4669,4588,4587,4586,4585,4584,4583,4554,4551,4536,4533,4531,4529,4526,4523,4508,4505,4503,4501,4420,4419,4418,4417,4416,4415,4409,4407,4405,4403,4331,4329,4327,4325,4249,4247,4245,4243,4171,4169,4167,4165,4093,4091,4081,4079,4046,4043,4016,4013,4011,4009,3999,3997,3933,3931,3921,3919,3886,3883,3856,3853,3851,3849,3839,3837,3768,3765,3762,3759,3684,3681,3678,3675,3661,3659,3657,3655,3608,3605,3602,3599,3524,3521,3518,3515,3501,3499,3497,3495,3452,3449,3434,3431,3429,3427,3364,3361,3346,3343,3341,3339,3337,3335,3325,3323,3288,3285,3270,3267,3265,3263,3200,3197,3182,3179,3177,3175,3173,3171,3161,3159,3004,3001,2998,2995,2981,2979,2977,2975,2842,2839,2836,2833,2819,2817,2815,2813,2776,2773,2694,2691,2688,2685,2670,2667,2665,2663,2661,2659,2649,2647,2614,2611,2532,2529,2526,2523,2508,2505,2503,2501,2499,2497,2487,2485,2348,2345,2342,2339,2200,2197,2194,2191,2068,2065,2062,2059,2044,2041,2039,2037,1922,1919,1916,1913,1898,1895,1893,1891,1478,1475,1346,1343,292,163,139,122,92,54,46,43,40]) ).
thf(6928,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[6927]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU818^2 : TPTP v8.1.0. Released v3.7.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 08:14:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 1615
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (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)..................................................................................................................................................................................................................................................................
% 2.73/2.91
% 2.73/2.91 ********************************
% 2.73/2.91 * All subproblems solved! *
% 2.73/2.91 ********************************
% 2.73/2.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:6927,loop_count:0,foatp_calls:1,translation:fof_full)
% 33.13/33.38
% 33.13/33.38 %**** Beginning of derivation protocol ****
% 33.13/33.38 % SZS output start CNFRefutation
% See solution above
% 33.20/33.42
% 33.20/33.42 %**** End of derivation protocol ****
% 33.20/33.42 %**** no. of clauses in derivation: 6928 ****
% 33.20/33.42 %**** clause counter: 6927 ****
% 33.20/33.42
% 33.20/33.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:6927,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------